Tuesday, September 27, 2022

Investing in India - Points from Nitin Kamat, Zerodha

Trade volume

  1.  90% of the trades made in Indian stock market is done by traders doing intraday. They are 3% of the DEMAT account holders
  2. 97% of people are doing investing and not intra day
  3. This 97% of people contribute insignificantly to the trade volume in India

Growth expectation by Venture capitalists

  1. VC investors want growth. Not profitabilityFor VC, it is ok to spend 400 Rs for customer acquisition who will give 200Rs profit at the max
  2. VC will have 7 year investment cycle
  3. VC 1 will have to exit after 7 years, selling the share to another VC, who will have sell to another .
  4. For first VC to exit and second VC to enter, there should be growth in the company.
  5. If there is good growth and good potential for future growth, why will first VC exit after 7 years?
  6. Where will he invest after exiting?
  7. VC1 has to invest in another startup after exiting. Why not stay with the company where he has understood the business and know the founders for 7 years? 
  8. If VC 1 is convincing the next VC that growth is going to be there, why VC1 is exiting ?

 

 Growth expectation by market

  1. It is not enough for a company to make profit or stay sustaibable
  2. Company has to keep growing. A company that does not grow will be de-valued even if it is sustaibable and is profit making. Example = Coin base
  3. India , 140 crore people have less than 2 Lakhs per year.
  4. They will not invest in stock market, even if brokerage is free.
  5. Growth base for fintech companies is not the population, it is the IT paying population, less than 1% of the population.

Tuesday, September 13, 2022

Matlab program to plot the magnetic bearing constant and force values from the E actuator

Second set of experiments on April 25,2022 with old load cell plotting.

clear all;clc;close all;commandwindow;
% Compare and plot experimental with new FEM results
% Written on september 11 2022
% Processing done by G:\01_PHD\05_WIP\10_leverRig_v2_mudi2\2022_august_29_thirdRevisionData\2022_sept_FEMM_tiltedPlateSimulation\MatlabAttempt\sim_TiltThrusPlt_Euneq_7_sept11_2002.m
%
% April 4th 2022, FUll data set
% ------------------------------------------
% 1 Gap without adding 140 microns.
% 2 Measured force
% 3 FEM force at tilt angle starting = 0.4
% 4 FEM force at tilt angle starting = 0.35
% 5 FEM force at tilt angle starting = 0.3
% 6 FEM force at tilt angle starting = 0.25
% 7 FEM force at tilt angle starting = 0.2
% 8 FEM force at tilt angle starting = 0.1
% 9 FEM force at tilt angle starting = 0
%10 Current
%11 Identifier
%12 Analytical force, with 140 micron correction added.
% Compensate for the 140 microns addition in the air gap
d = [0.171000000000000,0.171000000000000,0.171000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.247000000000000,0.247000000000000,0.247000000000000,0.247000000000000,0.247000000000000,0.232000000000000,0.217000000000000,0.217000000000000,0.217000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.293000000000000,0.293000000000000,0.278000000000000,0.247000000000000,0.278000000000000,0.278000000000000,0.263000000000000,0.247000000000000,0.401000000000000,0.397000000000000,0.386000000000000,0.386000000000000,0.386000000000000,0.386000000000000,0.378000000000000,0.370000000000000,0.366000000000000,0.355000000000000,0.340000000000000,0.324000000000000,0.309000000000000,0.447000000000000,0.447000000000000,0.447000000000000,0.447000000000000,0.447000000000000,0.436000000000000,0.436000000000000,0.432000000000000,0.432000000000000,0.432000000000000,0.432000000000000,0.432000000000000,0.420000000000000,0.401000000000000,0.401000000000000,0.401000000000000,0.386000000000000,0.386000000000000,0.370000000000000,0.355000000000000,0.340000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.524000000000000,0.539000000000000,0.539000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.555000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.509000000000000,0.509000000000000,0.509000000000000,0.509000000000000,0.493000000000000,0.489000000000000,0.478000000000000,0.474000000000000,0.585000000000000,0.570000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.539000000000000,0.524000000000000,0.509000000000000,0.509000000000000,0.478000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.708000000000000,0.708000000000000,0.708000000000000,0.697000000000000,0.693000000000000,0.678000000000000,0.678000000000000,0.678000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.785000000000000,0.778000000000000,0.770000000000000,0.770000000000000,0.755000000000000,0.755000000000000,0.739000000000000,0.739000000000000,0.908000000000000,0.908000000000000,0.904000000000000,0.893000000000000,0.893000000000000,0.893000000000000,0.893000000000000,0.889000000000000,0.877000000000000,0.877000000000000,0.877000000000000,0.862000000000000,0.862000000000000,0.862000000000000,0.847000000000000,0.847000000000000,0.954000000000000,0.954000000000000,0.950000000000000,0.939000000000000,0.939000000000000,0.924000000000000,0.908000000000000,0.893000000000000,0.862000000000000,1.06200000000000,1.06200000000000,1.06200000000000,1.06200000000000,1.04700000000000,1.04700000000000,1.04700000000000,1.04700000000000,1.03100000000000,1.03100000000000,1.03100000000000,1.01600000000000,1.01600000000000;1.56100000000000,1.81000000000000,2.09000000000000,1.72100000000000,1.91500000000000,2.13800000000000,2.34500000000000,2.57800000000000,2.82100000000000,3.08000000000000,4.00100000000000,4.66900000000000,5.42800000000000,6.19600000000000,7.00800000000000,7.78500000000000,8.55400000000000,9.33900000000000,10.5980000000000,13.6490000000000,15.4930000000000,21.2730000000000,1.63600000000000,1.96100000000000,2.00600000000000,2.40500000000000,2.84300000000000,3.28700000000000,3.74800000000000,4.21100000000000,4.63700000000000,5.09100000000000,5.44500000000000,6.58100000000000,7.28200000000000,8.00300000000000,8.76500000000000,9.61100000000000,10.5440000000000,10.6720000000000,11.6570000000000,13.0970000000000,14.8600000000000,23.0800000000000,15.5110000000000,16.9040000000000,21.6400000000000,26.5080000000000,2.14200000000000,2.92400000000000,3.70200000000000,4.38200000000000,5.01600000000000,6.16000000000000,7.33500000000000,8.70400000000000,9.55800000000000,11.8900000000000,18.6360000000000,19.7890000000000,24.4270000000000,1.67500000000000,2.26600000000000,2.98900000000000,3.40600000000000,3.96400000000000,4.37800000000000,4.88400000000000,5.23900000000000,5.78400000000000,6.20400000000000,6.70500000000000,7.37900000000000,9.07600000000000,12.9400000000000,13.8650000000000,15.2690000000000,17.4290000000000,18.4340000000000,23.1190000000000,26.2360000000000,30.5430000000000,1.62700000000000,1.84100000000000,2.04800000000000,2.24200000000000,2.40900000000000,2.64100000000000,2.78300000000000,2.92300000000000,3.21200000000000,3.84100000000000,4.19200000000000,4.56700000000000,4.54300000000000,5.01900000000000,5.57400000000000,6.21000000000000,8.82200000000000,7.34700000000000,6.73800000000000,8.91400000000000,9.27900000000000,9.63600000000000,9.62400000000000,9.77500000000000,3.25800000000000,8.74000000000000,8.87300000000000,9.57500000000000,9.65000000000000,10.4340000000000,11.0320000000000,11.8300000000000,13.3760000000000,13.8600000000000,15.7360000000000,17.2300000000000,17.5810000000000,19.2270000000000,4.03300000000000,6.43200000000000,9.26100000000000,9.62100000000000,11.0780000000000,13.3210000000000,15.7550000000000,18.6420000000000,19.8630000000000,24.4620000000000,1.50400000000000,1.85500000000000,2.10700000000000,2.49200000000000,2.73300000000000,3.18700000000000,3.68500000000000,3.91800000000000,5.12500000000000,6.87500000000000,7.27100000000000,8.06700000000000,8.97300000000000,10.9700000000000,11.8310000000000,13.7110000000000,1.55200000000000,1.74500000000000,1.74400000000000,1.97500000000000,2.59700000000000,3.05200000000000,3.60700000000000,4.34900000000000,6.22300000000000,6.42900000000000,7.34400000000000,8.62200000000000,10.0200000000000,11.5620000000000,12.3120000000000,14.2690000000000,1.60500000000000,1.97900000000000,2.33600000000000,2.67600000000000,3.07700000000000,3.32100000000000,3.94000000000000,5.51400000000000,5.70100000000000,6.34900000000000,6.97100000000000,8.71700000000000,9.97100000000000,10.3940000000000,11.5590000000000,13.6010000000000,1.54900000000000,1.91600000000000,2.75700000000000,3.82600000000000,5.57300000000000,8.19900000000000,10.2700000000000,12.7950000000000,16.5270000000000,1.77200000000000,2.10100000000000,2.25300000000000,2.76100000000000,4.03000000000000,4.21300000000000,4.79200000000000,5.60500000000000,6.51100000000000,7.45800000000000,7.91700000000000,9.09200000000000,10.3270000000000;0,0,0,1.34700000000000,1.55100000000000,1.78700000000000,2.00800000000000,2.25200000000000,2.51000000000000,2.78200000000000,3.70100000000000,4.38100000000000,5.08400000000000,6.27000000000000,7.03900000000000,7.76100000000000,8.45300000000000,9.10600000000000,10.7950000000000,14.2910000000000,15.4800000000000,18.0600000000000,1.68800000000000,2.09500000000000,2.58100000000000,3.08500000000000,3.61900000000000,4.16200000000000,4.70300000000000,5.24000000000000,5.72800000000000,6.21800000000000,6.65100000000000,8.24200000000000,8.98000000000000,9.74900000000000,10.4600000000000,11.2900000000000,12.1520000000000,12.0550000000000,14.0530000000000,15.4070000000000,17.9050000000000,27.1350000000000,16.4190000000000,18.0570000000000,24.1960000000000,28.8190000000000,2.29200000000000,3.13300000000000,4.08500000000000,4.84500000000000,5.49500000000000,6.64200000000000,7.86200000000000,9.55800000000000,10.4900000000000,13.0540000000000,19.1800000000000,21.1300000000000,25.2530000000000,1.96500000000000,2.61900000000000,3.32900000000000,3.95000000000000,4.44000000000000,5.07500000000000,5.58600000000000,6.14100000000000,6.59000000000000,7.17400000000000,7.72100000000000,8.35200000000000,10.4190000000000,14.8520000000000,15.9550000000000,17,19.7330000000000,20.4870000000000,24.9670000000000,28.1670000000000,31.7610000000000,2.22800000000000,2.47600000000000,2.70700000000000,2.93500000000000,3.13600000000000,3.30300000000000,3.47500000000000,3.65100000000000,3.97800000000000,4.86900000000000,5.25400000000000,5.65400000000000,5.65400000000000,6.11600000000000,6.69500000000000,7.35100000000000,10.2500000000000,8.09200000000000,7.40300000000000,10.2500000000000,10.6270000000000,11.0110000000000,11.0110000000000,11.1400000000000,3.79500000000000,10.0640000000000,10.2500000000000,10.9460000000000,11.0110000000000,11.7320000000000,12.8360000000000,13.5570000000000,14.5230000000000,15.1350000000000,17.4590000000000,18.8700000000000,19.5380000000000,20.9900000000000,4.15000000000000,6.73700000000000,9.67300000000000,10.0830000000000,11.4290000000000,13.8100000000000,16.4100000000000,19.3540000000000,20.3250000000000,25.1250000000000,1.32800000000000,1.68600000000000,1.99500000000000,2.26400000000000,2.50000000000000,2.95600000000000,3.42200000000000,3.68200000000000,4.90600000000000,6.42700000000000,6.87000000000000,7.71400000000000,8.64200000000000,10.6300000000000,11.3790000000000,12.8950000000000,1.44100000000000,1.71000000000000,1.71000000000000,1.93600000000000,2.41700000000000,2.88200000000000,3.44400000000000,4.11500000000000,5.92800000000000,6.19000000000000,7.13000000000000,8.21900000000000,9.70500000000000,11.0120000000000,11.9880000000000,13.5830000000000,1.41600000000000,1.60600000000000,1.94500000000000,2.31400000000000,2.68800000000000,2.91000000000000,3.48400000000000,4.88200000000000,5.16200000000000,5.75400000000000,6.31100000000000,7.97500000000000,9.05400000000000,9.41400000000000,10.6260000000000,11.5260000000000,0.991000000000000,1.47800000000000,2.27200000000000,3.22000000000000,4.84500000000000,7.15600000000000,9.33500000000000,11.2820000000000,13.3470000000000,1.77800000000000,2.06500000000000,2.23300000000000,2.66400000000000,3.81500000000000,3.94200000000000,4.44500000000000,5.15100000000000,6.05400000000000,6.87200000000000,7.25200000000000,8.41100000000000,9.25800000000000;0,0,0,1.27500000000000,1.46800000000000,1.69000000000000,1.89900000000000,2.13000000000000,2.37300000000000,2.63100000000000,3.50000000000000,4.14200000000000,4.80700000000000,5.88800000000000,6.60900000000000,7.28700000000000,7.93700000000000,8.55000000000000,10.0540000000000,13.0800000000000,14.1670000000000,16.5270000000000,1.62100000000000,2.01200000000000,2.47800000000000,2.96200000000000,3.47500000000000,3.99600000000000,4.51600000000000,5.03100000000000,5.50000000000000,5.97000000000000,6.38500000000000,7.89100000000000,8.59700000000000,9.33400000000000,10.0140000000000,10.8090000000000,11.6330000000000,11.5400000000000,13.4090000000000,14.7010000000000,17.0290000000000,25.5830000000000,15.6160000000000,17.1740000000000,22.9390000000000,27.1700000000000,2.22500000000000,3.03900000000000,3.95700000000000,4.69300000000000,5.32300000000000,6.43400000000000,7.61000000000000,9.24300000000000,10.1410000000000,12.6020000000000,18.4840000000000,20.3280000000000,24.2340000000000,1.91600000000000,2.55400000000000,3.24600000000000,3.85100000000000,4.32800000000000,4.94200000000000,5.43800000000000,5.97800000000000,6.41500000000000,6.98300000000000,7.51500000000000,8.13000000000000,10.1340000000000,14.4190000000000,15.4900000000000,16.5050000000000,19.1330000000000,19.8640000000000,24.1650000000000,27.2200000000000,30.6470000000000,2.18800000000000,2.43100000000000,2.65700000000000,2.88100000000000,3.07900000000000,3.24300000000000,3.41100000000000,3.58400000000000,3.90500000000000,4.77600000000000,5.15400000000000,5.54600000000000,5.54600000000000,5.99900000000000,6.56600000000000,7.21000000000000,10.0460000000000,7.93700000000000,7.26100000000000,10.0460000000000,10.4150000000000,10.7920000000000,10.7920000000000,10.9180000000000,3.72500000000000,9.86400000000000,10.0460000000000,10.7280000000000,10.7920000000000,11.4980000000000,12.5740000000000,13.2800000000000,14.2260000000000,14.8250000000000,17.0860000000000,18.4620000000000,19.1060000000000,20.5200000000000,4.08100000000000,6.61900000000000,9.49900000000000,9.90200000000000,11.2240000000000,13.5490000000000,16.0880000000000,18.9610000000000,19.9120000000000,24.5790000000000,1.31200000000000,1.66600000000000,1.97200000000000,2.23700000000000,2.47100000000000,2.92100000000000,3.38100000000000,3.63800000000000,4.84800000000000,6.35000000000000,6.78700000000000,7.61700000000000,8.53200000000000,10.4880000000000,11.2270000000000,12.7240000000000,1.42700000000000,1.69300000000000,1.69300000000000,1.91700000000000,2.39300000000000,2.85400000000000,3.40900000000000,4.07400000000000,5.86700000000000,6.12400000000000,7.05400000000000,8.13100000000000,9.59600000000000,10.8890000000000,11.8540000000000,13.4310000000000,1.40500000000000,1.59400000000000,1.93000000000000,2.29500000000000,2.66500000000000,2.88500000000000,3.45500000000000,4.84100000000000,5.11900000000000,5.70600000000000,6.25800000000000,7.90600000000000,8.97600000000000,9.33300000000000,10.5330000000000,11.4240000000000,0.983000000000000,1.46700000000000,2.25500000000000,3.19600000000000,4.80800000000000,7.10000000000000,9.26100000000000,11.1900000000000,13.2350000000000,1.76700000000000,2.05200000000000,2.21900000000000,2.64800000000000,3.79100000000000,3.91800000000000,4.41800000000000,5.11900000000000,6.01600000000000,6.82800000000000,7.20700000000000,8.35600000000000,9.19700000000000;1.22200000000000,1.45000000000000,1.68400000000000,1.21600000000000,1.39900000000000,1.61100000000000,1.81100000000000,2.03000000000000,2.26200000000000,2.50800000000000,3.33600000000000,3.94800000000000,4.58100000000000,5.59600000000000,6.28100000000000,6.92600000000000,7.54300000000000,8.12500000000000,9.51000000000000,12.3010000000000,13.3230000000000,15.5430000000000,1.56400000000000,1.94100000000000,2.39100000000000,2.85700000000000,3.35200000000000,3.85500000000000,4.35600000000000,4.85300000000000,5.30500000000000,5.75800000000000,6.15900000000000,7.59800000000000,8.27800000000000,8.98700000000000,9.64200000000000,10.4070000000000,11.2010000000000,11.1110000000000,12.8810000000000,14.1220000000000,16.3100000000000,24.3590000000000,14.9570000000000,16.4490000000000,21.9060000000000,25.8710000000000,2.16600000000000,2.95800000000000,3.84800000000000,4.56500000000000,5.17700000000000,6.25700000000000,7.39300000000000,8.97700000000000,9.84300000000000,12.2160000000000,17.8930000000000,19.6340000000000,23.3700000000000,1.87200000000000,2.49600000000000,3.17200000000000,3.76400000000000,4.23000000000000,4.82700000000000,5.31200000000000,5.83600000000000,6.26300000000000,6.81800000000000,7.33700000000000,7.93700000000000,9.88500000000000,14.0460000000000,15.0890000000000,16.0780000000000,18.6170000000000,19.3280000000000,23.4820000000000,26.4120000000000,29.6870000000000,2.15200000000000,2.39100000000000,2.61400000000000,2.83400000000000,3.02900000000000,3.19000000000000,3.35600000000000,3.52600000000000,3.84200000000000,4.69400000000000,5.06600000000000,5.45100000000000,5.45100000000000,5.89600000000000,6.45400000000000,7.08700000000000,9.86800000000000,7.80100000000000,7.13600000000000,9.86800000000000,10.2300000000000,10.6000000000000,10.6000000000000,10.7240000000000,3.66400000000000,9.68900000000000,9.86800000000000,10.5380000000000,10.6000000000000,11.2940000000000,12.3410000000000,13.0340000000000,13.9630000000000,14.5500000000000,16.7590000000000,18.1040000000000,18.7240000000000,20.1090000000000,4.01900000000000,6.51600000000000,9.34400000000000,9.74100000000000,11.0410000000000,13.3220000000000,15.8090000000000,18.6180000000000,19.5520000000000,24.0990000000000,1.29800000000000,1.64800000000000,1.95100000000000,2.21300000000000,2.44400000000000,2.89000000000000,3.34500000000000,3.59900000000000,4.79300000000000,6.27900000000000,6.71200000000000,7.53000000000000,8.43500000000000,10.3660000000000,11.0960000000000,12.5750000000000,1.41400000000000,1.67800000000000,1.67800000000000,1.90000000000000,2.37200000000000,2.82800000000000,3.37900000000000,4.03800000000000,5.81200000000000,6.06700000000000,6.98700000000000,8.05400000000000,9.50300000000000,10.7830000000000,11.7330000000000,13.2930000000000,1.39400000000000,1.58200000000000,1.91600000000000,2.27800000000000,2.64600000000000,2.86400000000000,3.43000000000000,4.80400000000000,5.08000000000000,5.66300000000000,6.21000000000000,7.84300000000000,8.90400000000000,9.25900000000000,10.4470000000000,11.3310000000000,0.977000000000000,1.45700000000000,2.24000000000000,3.17400000000000,4.77500000000000,7.05000000000000,9.19300000000000,11.1100000000000,13.1310000000000,1.75700000000000,2.04100000000000,2.20600000000000,2.63300000000000,3.76900000000000,3.89600000000000,4.39300000000000,5.09000000000000,5.98200000000000,6.78900000000000,7.16500000000000,8.30700000000000,9.14300000000000;1.12900000000000,1.33900000000000,1.55500000000000,1.16800000000000,1.34400000000000,1.54800000000000,1.73900000000000,1.95000000000000,2.17300000000000,2.40800000000000,3.20300000000000,3.79100000000000,4.39800000000000,5.35400000000000,6.01000000000000,6.62600000000000,7.21600000000000,7.77300000000000,9.07400000000000,11.7010000000000,12.6730000000000,14.7840000000000,1.51600000000000,1.88100000000000,2.31700000000000,2.76900000000000,3.24800000000000,3.73600000000000,4.22100000000000,4.70200000000000,5.14000000000000,5.57900000000000,5.96800000000000,7.34900000000000,8.00700000000000,8.69300000000000,9.32600000000000,10.0660000000000,10.8340000000000,10.7470000000000,12.4340000000000,13.6320000000000,15.7190000000000,23.3580000000000,14.4150000000000,15.8520000000000,21.0620000000000,24.8070000000000,2.11600000000000,2.88800000000000,3.75400000000000,4.45300000000000,5.05000000000000,6.10400000000000,7.21000000000000,8.74500000000000,9.58700000000000,11.8900000000000,17.3900000000000,19.0580000000000,22.6450000000000,1.83500000000000,2.44600000000000,3.10800000000000,3.68800000000000,4.14500000000000,4.72700000000000,5.20200000000000,5.71500000000000,6.13200000000000,6.67600000000000,7.18400000000000,7.77200000000000,9.66900000000000,13.7270000000000,14.7460000000000,15.7120000000000,18.1750000000000,18.8690000000000,22.8960000000000,25.7220000000000,28.8710000000000,2.12100000000000,2.35600000000000,2.57500000000000,2.79300000000000,2.98400000000000,3.14300000000000,3.30600000000000,3.47400000000000,3.78500000000000,4.62300000000000,4.98800000000000,5.36800000000000,5.36800000000000,5.80700000000000,6.35600000000000,6.97900000000000,9.71300000000000,7.68200000000000,7.02800000000000,9.71300000000000,10.0700000000000,10.4340000000000,10.4340000000000,10.5570000000000,3.61000000000000,9.53700000000000,9.71300000000000,10.3730000000000,10.4340000000000,11.1170000000000,12.1420000000000,12.8240000000000,13.7370000000000,14.3150000000000,16.4730000000000,17.7950000000000,18.3940000000000,19.7500000000000,3.96400000000000,6.42400000000000,9.20900000000000,9.60000000000000,10.8810000000000,13.1230000000000,15.5630000000000,18.3210000000000,19.2400000000000,23.6860000000000,1.28500000000000,1.63200000000000,1.93100000000000,2.19100000000000,2.42000000000000,2.86100000000000,3.31100000000000,3.56300000000000,4.74500000000000,6.21600000000000,6.64400000000000,7.45500000000000,8.34800000000000,10.2580000000000,10.9810000000000,12.4440000000000,1.40300000000000,1.66400000000000,1.66400000000000,1.88400000000000,2.35300000000000,2.80500000000000,3.35100000000000,4.00500000000000,5.76300000000000,6.01600000000000,6.92700000000000,7.98400000000000,9.42000000000000,10.6890000000000,11.6260000000000,13.1730000000000,1.38500000000000,1.57100000000000,1.90200000000000,2.26200000000000,2.62800000000000,2.84500000000000,3.40600000000000,4.77200000000000,5.04400000000000,5.62300000000000,6.16600000000000,7.78900000000000,8.84300000000000,9.19500000000000,10.3720000000000,11.2500000000000,0.971000000000000,1.44900000000000,2.22600000000000,3.15400000000000,4.74600000000000,7.00600000000000,9.13400000000000,11.0350000000000,13.0420000000000,1.74800000000000,2.03100000000000,2.19600000000000,2.62000000000000,3.75100000000000,3.87600000000000,4.37100000000000,5.06500000000000,5.95100000000000,6.75400000000000,7.12800000000000,8.26400000000000,9.09600000000000;1.06600000000000,1.26500000000000,1.46800000000000,1.12800000000000,1.29800000000000,1.49400000000000,1.67900000000000,1.88200000000000,2.09700000000000,2.32400000000000,3.09100000000000,3.65900000000000,4.24500000000000,5.15800000000000,5.78900000000000,6.38200000000000,6.95000000000000,7.48700000000000,8.71900000000000,11.2150000000000,12.1470000000000,14.1690000000000,1.47600000000000,1.83100000000000,2.25500000000000,2.69500000000000,3.16100000000000,3.63500000000000,4.10700000000000,4.57600000000000,5.00100000000000,5.42900000000000,5.80600000000000,7.14100000000000,7.78000000000000,8.44600000000000,9.06200000000000,9.78000000000000,10.5260000000000,10.4420000000000,12.0600000000000,13.2220000000000,15.2210000000000,22.5320000000000,13.9580000000000,15.3500000000000,20.3560000000000,23.9290000000000,2.07200000000000,2.82800000000000,3.67400000000000,4.35800000000000,4.94200000000000,5.97400000000000,7.05100000000000,8.54800000000000,9.36800000000000,11.6100000000000,16.9590000000000,18.5680000000000,22.0390000000000,1.80200000000000,2.40200000000000,3.05300000000000,3.62200000000000,4.07000000000000,4.64000000000000,5.10700000000000,5.60800000000000,6.01900000000000,6.55200000000000,7.05100000000000,7.62700000000000,9.48500000000000,13.4530000000000,14.4520000000000,15.3990000000000,17.7970000000000,18.4770000000000,22.3990000000000,25.1360000000000,28.1910000000000,2.09300000000000,2.32500000000000,2.54200000000000,2.75600000000000,2.94500000000000,3.10200000000000,3.26300000000000,3.42800000000000,3.73600000000000,4.56100000000000,4.92200000000000,5.29600000000000,5.29600000000000,5.72900000000000,6.27000000000000,6.88500000000000,9.57800000000000,7.57900000000000,6.93300000000000,9.57800000000000,9.93100000000000,10.2890000000000,10.2890000000000,10.4100000000000,3.56300000000000,9.40500000000000,9.57800000000000,10.2290000000000,10.2890000000000,10.9630000000000,11.9660000000000,12.6370000000000,13.5380000000000,14.1080000000000,16.2290000000000,17.5310000000000,18.1120000000000,19.4440000000000,3.91600000000000,6.34500000000000,9.09200000000000,9.47800000000000,10.7420000000000,12.9480000000000,15.3520000000000,18.0600000000000,18.9660000000000,23.3280000000000,1.27500000000000,1.61800000000000,1.91500000000000,2.17300000000000,2.40000000000000,2.83700000000000,3.28400000000000,3.53300000000000,4.70300000000000,6.16100000000000,6.58500000000000,7.38600000000000,8.27200000000000,10.1610000000000,10.8770000000000,12.3260000000000,1.39200000000000,1.65200000000000,1.65200000000000,1.87100000000000,2.33600000000000,2.78500000000000,3.32700000000000,3.97600000000000,5.72200000000000,5.97100000000000,6.87400000000000,7.92300000000000,9.34600000000000,10.6050000000000,11.5350000000000,13.0690000000000,1.37700000000000,1.56200000000000,1.89100000000000,2.24900000000000,2.61200000000000,2.82800000000000,3.38600000000000,4.74300000000000,5.01300000000000,5.58800000000000,6.12900000000000,7.74000000000000,8.78600000000000,9.13600000000000,10.3060000000000,11.1780000000000,0.966000000000000,1.44100000000000,2.21400000000000,3.13700000000000,4.71900000000000,6.96600000000000,9.08100000000000,10.9710000000000,12.9620000000000,1.74100000000000,2.02200000000000,2.18600000000000,2.60800000000000,3.73300000000000,3.85800000000000,4.35100000000000,5.04100000000000,5.92400000000000,6.72300000000000,7.09500000000000,8.22400000000000,9.05200000000000;0.979000000000000,1.16100000000000,1.34800000000000,1.06700000000000,1.22800000000000,1.41400000000000,1.58800000000000,1.78000000000000,1.98400000000000,2.19900000000000,2.92400000000000,3.46000000000000,4.01400000000000,4.86000000000000,5.45500000000000,6.01400000000000,6.54900000000000,7.05400000000000,8.18800000000000,10.4980000000000,11.3700000000000,13.2630000000000,1.41300000000000,1.75300000000000,2.15900000000000,2.58000000000000,3.02600000000000,3.48000000000000,3.93100000000000,4.38000000000000,4.78700000000000,5.19600000000000,5.55700000000000,6.82000000000000,7.43000000000000,8.06700000000000,8.65400000000000,9.34000000000000,10.0530000000000,9.97200000000000,11.4910000000000,12.5980000000000,14.4690000000000,21.2950000000000,13.2690000000000,14.5920000000000,19.2980000000000,22.6150000000000,2.00400000000000,2.73400000000000,3.54900000000000,4.20900000000000,4.77300000000000,5.76900000000000,6.80400000000000,8.24300000000000,9.03100000000000,11.1790000000000,16.3030000000000,17.8130000000000,21.1050000000000,1.75100000000000,2.33400000000000,2.96600000000000,3.51900000000000,3.95400000000000,4.50500000000000,4.95700000000000,5.44200000000000,5.84000000000000,6.35700000000000,6.84200000000000,7.40100000000000,9.19600000000000,13.0220000000000,13.9880000000000,14.9050000000000,17.2030000000000,17.8600000000000,21.6220000000000,24.2360000000000,27.1360000000000,2.04900000000000,2.27600000000000,2.48900000000000,2.69800000000000,2.88300000000000,3.03700000000000,3.19500000000000,3.35600000000000,3.65700000000000,4.46300000000000,4.81700000000000,5.18300000000000,5.18300000000000,5.60600000000000,6.13600000000000,6.73800000000000,9.36400000000000,7.41700000000000,6.78500000000000,9.36400000000000,9.70800000000000,10.0590000000000,10.0590000000000,10.1770000000000,3.48800000000000,9.19400000000000,9.36400000000000,10,10.0590000000000,10.7180000000000,11.6920000000000,12.3480000000000,13.2280000000000,13.7850000000000,15.8380000000000,17.1060000000000,17.6660000000000,18.9620000000000,3.84000000000000,6.21800000000000,8.90500000000000,9.28300000000000,10.5220000000000,12.6740000000000,15.0200000000000,17.6540000000000,18.5400000000000,22.7660000000000,1.25700000000000,1.59600000000000,1.88900000000000,2.14300000000000,2.36700000000000,2.79800000000000,3.23800000000000,3.48500000000000,4.63600000000000,6.07200000000000,6.49000000000000,7.27800000000000,8.15200000000000,10.0090000000000,10.7140000000000,12.1420000000000,1.37600000000000,1.63300000000000,1.63300000000000,1.84900000000000,2.30800000000000,2.75200000000000,3.28800000000000,3.92900000000000,5.65100000000000,5.89800000000000,6.79000000000000,7.82600000000000,9.22900000000000,10.4720000000000,11.3870000000000,12.9020000000000,1.36400000000000,1.54700000000000,1.87300000000000,2.22700000000000,2.58700000000000,2.80000000000000,3.35300000000000,4.69700000000000,4.96300000000000,5.53300000000000,6.06800000000000,7.66200000000000,8.69900000000000,9.04500000000000,10.2000000000000,11.0640000000000,0.957000000000000,1.42800000000000,2.19500000000000,3.11000000000000,4.67900000000000,6.90300000000000,8.99900000000000,10.8680000000000,12.8380000000000,1.72800000000000,2.00700000000000,2.17000000000000,2.59000000000000,3.70600000000000,3.83000000000000,4.31900000000000,5.00500000000000,5.87900000000000,6.67300000000000,7.04200000000000,8.16400000000000,8.98600000000000;0.926000000000000,1.09700000000000,1.27300000000000,1.02800000000000,1.18300000000000,1.36100000000000,1.52900000000000,1.71400000000000,1.91000000000000,2.11600000000000,2.81400000000000,3.33000000000000,3.86300000000000,4.66900000000000,5.24000000000000,5.77700000000000,6.29100000000000,6.77600000000000,7.84900000000000,10.0380000000000,10.8710000000000,12.6800000000000,1.37100000000000,1.70100000000000,2.09400000000000,2.50300000000000,2.93500000000000,3.37600000000000,3.81400000000000,4.24900000000000,4.64400000000000,5.04000000000000,5.39100000000000,6.60700000000000,7.19800000000000,7.81500000000000,8.38400000000000,9.04800000000000,9.73800000000000,9.66000000000000,11.1170000000000,12.1870000000000,13.9750000000000,20.5040000000000,12.8160000000000,14.0940000000000,18.6120000000000,21.7760000000000,1.95900000000000,2.67100000000000,3.46400000000000,4.10900000000000,4.65900000000000,5.63200000000000,6.63900000000000,8.03900000000000,8.80500000000000,10.8910000000000,15.8690000000000,17.3200000000000,20.4930000000000,1.71600000000000,2.28700000000000,2.90700000000000,3.44800000000000,3.87500000000000,4.41200000000000,4.85600000000000,5.33000000000000,5.72000000000000,6.22600000000000,6.70000000000000,7.24800000000000,9.00100000000000,12.7340000000000,13.6800000000000,14.5760000000000,16.8120000000000,17.4540000000000,21.1150000000000,23.6420000000000,26.4440000000000,2.01900000000000,2.24300000000000,2.45200000000000,2.65900000000000,2.84100000000000,2.99200000000000,3.14800000000000,3.30700000000000,3.60400000000000,4.39500000000000,4.74200000000000,5.10300000000000,5.10300000000000,5.52000000000000,6.04200000000000,6.63400000000000,9.21900000000000,7.30300000000000,6.68100000000000,9.21900000000000,9.55800000000000,9.90300000000000,9.90300000000000,10.0190000000000,3.43700000000000,9.05200000000000,9.21900000000000,9.84500000000000,9.90300000000000,10.5510000000000,11.5040000000000,12.1500000000000,13.0160000000000,13.5640000000000,15.5820000000000,16.8250000000000,17.3700000000000,18.6380000000000,3.78700000000000,6.13100000000000,8.77700000000000,9.14900000000000,10.3700000000000,12.4870000000000,14.7900000000000,17.3830000000000,18.2540000000000,22.3960000000000,1.24500000000000,1.58000000000000,1.87000000000000,2.12200000000000,2.34300000000000,2.77000000000000,3.20600000000000,3.45000000000000,4.59000000000000,6.01200000000000,6.42600000000000,7.20600000000000,8.06800000000000,9.90500000000000,10.6030000000000,12.0160000000000,1.36400000000000,1.61900000000000,1.61900000000000,1.83300000000000,2.28900000000000,2.72900000000000,3.26000000000000,3.89500000000000,5.60400000000000,5.84700000000000,6.73100000000000,7.75800000000000,9.14700000000000,10.3790000000000,11.2840000000000,12.7850000000000,1.35500000000000,1.53700000000000,1.86100000000000,2.21200000000000,2.56900000000000,2.78100000000000,3.33000000000000,4.66500000000000,4.92800000000000,5.49400000000000,6.02500000000000,7.60700000000000,8.63600000000000,8.98000000000000,10.1280000000000,10.9850000000000,0.952000000000000,1.41900000000000,2.18100000000000,3.08900000000000,4.64800000000000,6.86000000000000,8.94100000000000,10.7970000000000,12.7500000000000,1.71900000000000,1.99700000000000,2.15900000000000,2.57600000000000,3.68700000000000,3.81100000000000,4.29700000000000,4.97900000000000,5.84900000000000,6.63800000000000,7.00600000000000,8.11900000000000,8.93600000000000;0.605000000000000,0.658000000000000,0.708000000000000,0.766000000000000,0.821000000000000,0.880000000000000,0.932000000000000,0.986000000000000,1.04000000000000,1.09400000000000,1.25900000000000,1.36800000000000,1.47200000000000,1.57000000000000,1.66200000000000,1.74400000000000,1.81900000000000,1.88700000000000,1.97300000000000,2.16400000000000,2.25100000000000,2.42900000000000,0.980000000000000,1.09000000000000,1.20800000000000,1.31900000000000,1.42700000000000,1.52900000000000,1.62400000000000,1.71300000000000,1.79000000000000,1.86400000000000,1.92700000000000,2.08000000000000,2.17000000000000,2.26000000000000,2.34000000000000,2.43000000000000,2.52000000000000,2.51000000000000,2.62000000000000,2.74200000000000,2.86000000000000,3.27100000000000,2.74000000000000,2.87200000000000,3.21000000000000,3.37000000000000,1.31300000000000,1.52200000000000,1.70400000000000,1.85400000000000,1.97300000000000,2.16700000000000,2.32400000000000,2.52500000000000,2.62600000000000,2.87000000000000,3.38000000000000,3.44200000000000,3.65200000000000,1.31000000000000,1.51000000000000,1.70000000000000,1.85000000000000,1.96000000000000,2.06000000000000,2.16000000000000,2.25000000000000,2.33000000000000,2.43000000000000,2.52000000000000,2.62000000000000,2.87000000000000,3.32000000000000,3.44000000000000,3.55000000000000,3.73000000000000,3.80000000000000,4.08000000000000,4.22000000000000,4.36000000000000,1.62100000000000,1.70800000000000,1.78500000000000,1.85800000000000,1.92000000000000,1.97000000000000,2.02000000000000,2.07000000000000,2.16000000000000,2.34000000000000,2.43000000000000,2.52000000000000,2.52000000000000,2.62000000000000,2.74000000000000,2.87000000000000,3.32000000000000,3.01000000000000,2.88000000000000,3.32000000000000,3.38000000000000,3.44000000000000,3.44000000000000,3.46000000000000,2.11000000000000,3.29000000000000,3.32000000000000,3.43000000000000,3.44000000000000,3.55000000000000,3.64000000000000,3.74000000000000,3.87000000000000,3.95000000000000,4.15000000000000,4.29000000000000,4.29900000000000,4.43000000000000,2.29000000000000,2.86000000000000,3.36000000000000,3.43000000000000,3.65000000000000,3.93000000000000,4.20000000000000,4.47000000000000,4.58000000000000,4.88000000000000,1.52000000000000,1.71100000000000,1.86000000000000,1.98000000000000,2.08000000000000,2.26000000000000,2.43000000000000,2.52000000000000,2.86000000000000,3.27000000000000,3.38000000000000,3.54000000000000,3.73000000000000,4.07000000000000,4.21000000000000,4.48000000000000,1.70600000000000,1.85700000000000,1.85700000000000,1.97500000000000,2.20500000000000,2.40600000000000,2.62800000000000,2.87100000000000,3.39100000000000,3.44200000000000,3.66500000000000,3.93300000000000,4.21100000000000,4.48400000000000,4.60600000000000,4.90100000000000,1.85800000000000,1.97800000000000,2.16800000000000,2.34200000000000,2.52300000000000,2.62400000000000,2.87000000000000,3.38200000000000,3.44200000000000,3.63300000000000,3.80300000000000,4.21800000000000,4.49300000000000,4.58100000000000,4.80300000000000,5.00100000000000,1.61600000000000,1.97100000000000,2.43200000000000,2.86700000000000,3.51200000000000,4.21200000000000,4.74500000000000,5.15000000000000,5.45500000000000,2.34600000000000,2.52700000000000,2.62700000000000,2.86800000000000,3.39100000000000,3.44700000000000,3.65900000000000,3.93700000000000,4.21700000000000,4.49100000000000,4.61300000000000,4.91100000000000,5.15100000000000;1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12;1.98000000000000,2.35000000000000,2.72000000000000,1.90000000000000,2.18000000000000,2.50000000000000,2.81000000000000,3.14000000000000,3.50000000000000,3.87000000000000,5.13000000000000,6.05000000000000,7.01000000000000,8.64000000000000,9.68000000000000,10.7000000000000,11.6000000000000,12.5000000000000,14.8000000000000,19.3000000000000,20.9000000000000,24.3000000000000,2.34000000000000,2.90000000000000,3.56000000000000,4.25000000000000,4.97000000000000,5.71000000000000,6.44000000000000,7.16000000000000,7.82000000000000,8.48000000000000,9.06000000000000,11.3000000000000,12.3000000000000,13.3000000000000,14.3000000000000,15.4000000000000,16.5000000000000,16.4000000000000,19.2000000000000,21.1000000000000,24.6000000000000,37.5000000000000,22.6000000000000,24.8000000000000,33.3000000000000,39.8000000000000,3.10000000000000,4.22000000000000,5.52000000000000,6.53000000000000,7.40000000000000,8.92000000000000,10.6000000000000,12.9000000000000,14.2000000000000,17.7000000000000,26.1000000000000,28.9000000000000,34.8000000000000,2.62000000000000,3.48000000000000,4.41000000000000,5.22000000000000,5.86000000000000,6.73000000000000,7.40000000000000,8.14000000000000,8.73000000000000,9.49000000000000,10.2000000000000,11,13.8000000000000,19.8000000000000,21.3000000000000,22.6000000000000,26.4000000000000,27.4000000000000,33.6000000000000,38.2000000000000,43.4000000000000,2.86000000000000,3.18000000000000,3.47000000000000,3.76000000000000,4.02000000000000,4.23000000000000,4.45000000000000,4.67000000000000,5.08000000000000,6.25000000000000,6.74000000000000,7.25000000000000,7.25000000000000,7.83000000000000,8.57000000000000,9.40000000000000,13.2000000000000,10.3000000000000,9.47000000000000,13.2000000000000,13.6000000000000,14.1000000000000,14.1000000000000,14.3000000000000,4.85000000000000,12.9000000000000,13.2000000000000,14,14.1000000000000,15,16.5000000000000,17.5000000000000,18.7000000000000,19.5000000000000,22.6000000000000,24.5000000000000,25.5000000000000,27.4000000000000,5.25000000000000,8.54000000000000,12.3000000000000,12.8000000000000,14.5000000000000,17.6000000000000,21.1000000000000,25,26.2000000000000,32.8000000000000,1.63000000000000,2.06000000000000,2.44000000000000,2.77000000000000,3.05000000000000,3.60000000000000,4.16000000000000,4.48000000000000,5.99000000000000,7.83000000000000,8.36000000000000,9.42000000000000,10.6000000000000,13,13.9000000000000,15.8000000000000,1.73000000000000,2.05000000000000,2.05000000000000,2.32000000000000,2.89000000000000,3.44000000000000,4.11000000000000,4.90000000000000,7.08000000000000,7.40000000000000,8.54000000000000,9.84000000000000,11.7000000000000,13.2000000000000,14.5000000000000,16.4000000000000,18.7000000000000,1.66000000000000,2.27000000000000,2.71000000000000,3.14000000000000,3.40000000000000,4.06000000000000,5.69000000000000,6.03000000000000,6.72000000000000,7.37000000000000,9.33000000000000,10.6000000000000,11,12.5000000000000,13.5000000000000,1.15000000000000,1.71000000000000,2.62000000000000,3.72000000000000,5.58000000000000,8.25000000000000,10.8000000000000,13.1000000000000,15.6000000000000,2.01000000000000,2.33000000000000,2.52000000000000,3,4.30000000000000,4.44000000000000,5.01000000000000,5.80000000000000,6.83000000000000,7.75000000000000,8.18000000000000,9.51000000000000,10.5000000000000]';
d(:,1) = d(:,1)+0.140;
kmExp = d(:,2).*(d(:,1).^2).*1e-6./(d(:,10)).^2;
kmFEM = d(:,3).*(d(:,1).^2).*1e-6./(d(:,10)).^2;
NumberOfTurns = 49;
kmTheory = 4*3.14e-7*20e-3*35e-3*NumberOfTurns*NumberOfTurns/4; % Used for validation of experimental data
% dataSetNumber = 1;% 167 159
% dataSetNumber = 2;% 247 217
% dataSetNumber = 03;% 309 247
% dataSetNumber = 04;% 386 309
% dataSetNumber = 05;% 430 340
% dataSetNumber = 06;% 539 474
% dataSetNumber = 07;% 585 470
% dataSetNumber = 08;% 708 678
% dataSetNumber = 09;% 785 724
% dataSetNumber = 10;% 893 847
% dataSetNumber = 11;% 939 862
% dataSetNumber = 12;% 1047 1016
figure('Name','Current Vs Force Vs Theory',...
'units','normalized',...
'position',[0 0 1 1 ]);
for dataSetNumber=1:12
subplot(3,4,dataSetNumber);
apr25_airGap_mm = d((d(:,11)==dataSetNumber),1);
apr25_curr_ampere = d((d(:,11)==dataSetNumber),10);
apr25_measForceN = d((d(:,11)==dataSetNumber),2);
% % No 140 micron correction:
% apr25_analForceN = kmTheory*apr25_curr_ampere.*apr25_curr_ampere./(apr25_airGap_mm.*apr25_airGap_mm.*1e-6);
% With 140 micron correction:
apr25_analForceN = d((d(:,11)==dataSetNumber),12);
apr25_tiltFemForceN_0 = d((d(:,11)==dataSetNumber),9);
apr25_tiltFemForceN_0p2= d((d(:,11)==dataSetNumber),7);
apr25_tiltFemForceN_0p3= d((d(:,11)==dataSetNumber),5);
apr25_tiltFemForceN_0p4= d((d(:,11)==dataSetNumber),3);
if (dataSetNumber == 1 )
plot(apr25_curr_ampere,apr25_measForceN,'ko',...
apr25_curr_ampere,apr25_analForceN,'k+',...
apr25_curr_ampere,apr25_tiltFemForceN_0p3,'b-',...
'linewidth',2)
else
plot(apr25_curr_ampere,apr25_measForceN,'ko',...
apr25_curr_ampere,apr25_analForceN,'k+',...
apr25_curr_ampere,apr25_tiltFemForceN_0p4,'b-',...
'linewidth',2)
end
% apr25_curr_ampere,apr25_tiltFemForceN_0 ,'k-',...
% apr25_curr_ampere,apr25_tiltFemForceN_0p2,'r-',...
% apr25_curr_ampere,apr25_tiltFemForceN_0p3,'g-',...
if (dataSetNumber == 1 )
legend('Experimental', 'Analytical','FEM ','FEM tile 0.2^o','FEM tile 0.3^o','FEM tile 0.4^o','location','best')
end
title(sprintf('Gap %3.0f \\mu m to %3.0f \\mu m ',min(apr25_airGap_mm*1000),max(apr25_airGap_mm*1000)))
if (dataSetNumber == 1 || dataSetNumber == 5 || dataSetNumber == 9)
ylabel('Actuator force N','fontsize',12,'fontweight','n','color','k');
end
if (dataSetNumber >= 9 && dataSetNumber <= 12)
xlabel('Current A','fontsize',12,'fontweight','n','color','k');
end
end
saveas(gcf,'april25_tiltFEM_uneqalLeg_compareExp.fig');
export_fig(gcf,'april25_tiltFEM_uneqalLeg_compareExp.png');
%% Km plot
figure('Name','Gap Vs KmExp Vs KmTheory',...
'units','normalized',...
'position',[0 0 1 1 ]);
plot(d(:,1),kmExp,'o',...
d(:,1),kmTheory*ones(size(d(:,1))),'k-',...
'linewidth',2)
legend('Experimental', 'Analytical','FEM ','location','best')
title('Variation of K_m with air gap')
ylabel('Actuator K_m Nm^2/Ampere^2 ','fontsize',12,'fontweight','n','color','k');
xlabel('Air gap mm','fontsize',12,'fontweight','n','color','k');
saveas(gcf,'april25_tiltFEM_uneqalLeg_kmExp.fig');
export_fig(gcf,'april25_tiltFEM_uneqalLeg_kmExp.png');


Third set of experiments on August 29,2022 with new load cell plotting

clc;
clear all;
close all;
commandwindow
fprintf('Plotting the km values calculated in the excel file');
fprintf('\n G:\01_PHD\05_WIP\10_leverRig_v2_mudi2\2022_august_29_thirdRevisionData\\29aug2022_loadCellData_evening.xlsx');
NumberOfTurns = 49;
kmTheory = 4*3.14e-7*20e-3*35e-3*NumberOfTurns*NumberOfTurns/4; % Used for validation of experimental data
%% Data from excel sheet 29aug2022_loadCellData_evening.xlsx
% Stored in folder = G:\01_PHD\05_WIP\10_leverRig_v2_mudi2\2022_august_29_thirdRevisionData
thirdRevisionHoneyWellDataSet_03Sept2022 = [
1.0000E+00 9.6000E-01 9.6100E-01 1.3100E+00 5.0504E-01 5.3213E-01 6.7142E-01 8.3000E-01 5.0189E-07 4.7040E+01 7.2134E-01 -3.2174E-02 3.9636E-02 -3.2187E-02 -1.1229E+01 1.3439E+01 -1.1234E+01 2.2800E+03 2.3470E+03 2.2799E+03 ;
2.0000E+00 1.6600E+00 1.0200E+00 1.3700E+00 5.7109E-01 5.9960E-01 1.9813E+00 8.3000E-01 4.9533E-07 8.1340E+01 2.1820E+00 -5.5582E-02 6.8652E-02 -5.5605E-02 -1.7235E+01 1.9592E+01 -1.7243E+01 2.5663E+03 2.7884E+03 2.5662E+03 ;
3.0000E+00 2.0700E+00 1.0700E+00 1.4200E+00 6.2707E-01 6.5583E-01 3.0820E+00 8.3000E-01 4.9551E-07 1.0143E+02 3.4106E+00 -6.9309E-02 8.5798E-02 -6.9338E-02 -1.9652E+01 2.1955E+01 -1.9660E+01 2.8066E+03 3.1099E+03 2.8065E+03 ;
4.0000E+00 2.5600E+00 1.1500E+00 1.5000E+00 7.1663E-01 7.4580E-01 4.8432E+00 8.3000E-01 5.0911E-07 1.2544E+02 5.2409E+00 -8.5903E-02 1.0636E-01 -8.5940E-02 -2.1915E+01 2.4413E+01 -2.1925E+01 3.1193E+03 3.4671E+03 3.1192E+03 ;
5.0000E+00 3.2000E+00 1.2700E+00 1.6300E+00 8.5097E-01 8.9200E-01 7.5953E+00 8.3000E-01 5.1098E-07 1.5680E+02 8.2258E+00 -1.0767E-01 1.3318E-01 -1.0772E-01 -2.4506E+01 2.7350E+01 -2.4518E+01 3.4961E+03 3.8749E+03 3.4961E+03 ;
6.0000E+00 3.8000E+00 1.4200E+00 1.7800E+00 1.0189E+00 1.0607E+00 1.0897E+01 8.3000E-01 5.1989E-07 1.8620E+02 1.1637E+01 -1.2798E-01 1.5836E-01 -1.2803E-01 -2.6749E+01 2.9730E+01 -2.6762E+01 3.8072E+03 4.2386E+03 3.8071E+03 ;
7.0000E+00 4.2400E+00 1.5500E+00 1.9000E+00 1.1644E+00 1.1956E+00 1.3649E+01 8.3000E-01 5.2303E-07 2.0776E+02 1.4515E+01 -1.4286E-01 1.7686E-01 -1.4292E-01 -2.8244E+01 3.1289E+01 -2.8257E+01 4.0251E+03 4.4982E+03 4.0250E+03 ;
6.0000E+00 3.8200E+00 1.4400E+00 1.8000E+00 1.0413E+00 1.0832E+00 1.1338E+01 8.3000E-01 5.3525E-07 1.8718E+02 1.1761E+01 -1.2865E-01 1.5920E-01 -1.2871E-01 -2.6820E+01 2.9804E+01 -2.6832E+01 3.8171E+03 4.2506E+03 3.8171E+03 ;
5.0000E+00 3.1800E+00 1.2900E+00 1.6400E+00 8.7336E-01 9.0324E-01 7.9253E+00 8.3000E-01 5.3990E-07 1.5582E+02 8.1223E+00 -1.0699E-01 1.3234E-01 -1.0704E-01 -2.4428E+01 2.7265E+01 -2.4440E+01 3.4852E+03 3.8627E+03 3.4852E+03 ;
4.0000E+00 2.6000E+00 1.1700E+00 1.5300E+00 7.3902E-01 7.7954E-01 5.3938E+00 8.3000E-01 5.4968E-07 1.2740E+02 5.4077E+00 -8.7264E-02 1.0804E-01 -8.7303E-02 -2.2083E+01 2.4606E+01 -2.2093E+01 3.1446E+03 3.4941E+03 3.1446E+03 ;
3.0000E+00 2.0800E+00 1.0900E+00 1.4400E+00 6.4946E-01 6.7832E-01 3.5223E+00 8.3000E-01 5.6087E-07 1.0192E+02 3.4440E+00 -6.9646E-02 8.6218E-02 -6.9674E-02 -1.9703E+01 2.2007E+01 -1.9712E+01 2.8128E+03 3.1177E+03 2.8127E+03 ;
2.0000E+00 1.6500E+00 1.0300E+00 1.3800E+00 5.8229E-01 6.1085E-01 2.2015E+00 8.3000E-01 5.5706E-07 8.0850E+01 2.1554E+00 -5.5248E-02 6.8236E-02 -5.5271E-02 -1.7167E+01 1.9527E+01 -1.7175E+01 2.5609E+03 2.7808E+03 2.5608E+03 ;
1.0000E+00 9.7000E-01 9.7000E-01 1.3200E+00 5.1512E-01 5.4337E-01 8.8058E-01 8.3000E-01 6.4474E-07 4.7530E+01 7.3657E-01 -3.2510E-02 4.0050E-02 -3.2522E-02 -1.1333E+01 1.3554E+01 -1.1338E+01 2.2827E+03 2.3514E+03 2.2827E+03 ;
1.5000E+00 1.4000E+00 1.0100E+00 1.3400E+00 5.5990E-01 5.6586E-01 1.5405E+00 8.3000E-01 5.4146E-07 6.8600E+01 1.5457E+00 -4.6900E-02 5.7850E-02 -4.6918E-02 -1.5315E+01 1.7716E+01 -1.5322E+01 2.4368E+03 2.5986E+03 2.4367E+03 ;
2.5000E+00 1.8700E+00 1.0500E+00 1.4000E+00 6.0468E-01 6.3334E-01 2.6418E+00 8.3000E-01 5.2043E-07 9.1630E+01 2.7768E+00 -6.2602E-02 7.7417E-02 -6.2628E-02 -1.8552E+01 2.0869E+01 -1.8561E+01 2.6852E+03 2.9521E+03 2.6851E+03 ;
3.5000E+00 2.3000E+00 1.1100E+00 1.4600E+00 6.7185E-01 7.0082E-01 3.9626E+00 8.3000E-01 5.1604E-07 1.1270E+02 4.2206E+00 -7.7070E-02 9.5453E-02 -7.7102E-02 -2.0773E+01 2.3127E+01 -2.0782E+01 2.9524E+03 3.2844E+03 2.9523E+03 ;
4.5000E+00 3.1100E+00 1.2600E+00 1.6100E+00 8.3977E-01 8.6951E-01 7.2648E+00 8.3000E-01 5.1744E-07 1.5239E+02 7.7653E+00 -1.0461E-01 1.2941E-01 -1.0466E-01 -2.4153E+01 2.6961E+01 -2.4164E+01 3.4467E+03 3.8197E+03 3.4466E+03 ;
5.5000E+00 3.3800E+00 1.3200E+00 1.6800E+00 9.0694E-01 9.4823E-01 8.6960E+00 8.3000E-01 5.2438E-07 1.6562E+02 9.1868E+00 -1.1377E-01 1.4072E-01 -1.1382E-01 -2.5201E+01 2.8103E+01 -2.5213E+01 3.5924E+03 3.9848E+03 3.5923E+03 ;
6.5000E+00 4.1200E+00 1.5100E+00 1.8800E+00 1.1196E+00 1.1731E+00 1.2989E+01 8.3000E-01 5.2716E-07 2.0188E+02 1.3699E+01 -1.3880E-01 1.7181E-01 -1.3886E-01 -2.7850E+01 3.0875E+01 -2.7863E+01 3.9659E+03 4.4283E+03 3.9658E+03 ;
5.5000E+00 3.4600E+00 1.3500E+00 1.7100E+00 9.4053E-01 9.8197E-01 9.3565E+00 8.3000E-01 5.3841E-07 1.6954E+02 9.6311E+00 -1.1648E-01 1.4408E-01 -1.1653E-01 -2.5504E+01 2.8426E+01 -2.5516E+01 3.6342E+03 4.0334E+03 3.6342E+03 ;
4.5000E+00 3.1200E+00 1.2700E+00 1.6300E+00 8.5097E-01 8.9200E-01 7.5953E+00 8.3000E-01 5.3752E-07 1.5288E+02 7.8158E+00 -1.0495E-01 1.2983E-01 -1.0500E-01 -2.4192E+01 2.7004E+01 -2.4204E+01 3.4522E+03 3.8258E+03 3.4522E+03 ;
3.5000E+00 2.3200E+00 1.1300E+00 1.4800E+00 6.9424E-01 7.2331E-01 4.4029E+00 8.3000E-01 5.6354E-07 1.1368E+02 4.2952E+00 -7.7748E-02 9.6293E-02 -7.7780E-02 -2.0865E+01 2.3227E+01 -2.0874E+01 2.9653E+03 3.2990E+03 2.9651E+03 ;
2.5000E+00 1.8700E+00 1.0600E+00 1.4100E+00 6.1587E-01 6.4459E-01 2.8619E+00 8.3000E-01 5.6380E-07 9.1630E+01 2.7768E+00 -6.2602E-02 7.7417E-02 -6.2628E-02 -1.8552E+01 2.0869E+01 -1.8561E+01 2.6852E+03 2.9521E+03 2.6851E+03 ;
1.5000E+00 1.4100E+00 1.0100E+00 1.3600E+00 5.5990E-01 5.8836E-01 1.7612E+00 8.3000E-01 6.1027E-07 6.9090E+01 1.5681E+00 -4.7234E-02 5.8265E-02 -4.7253E-02 -1.5396E+01 1.7795E+01 -1.5403E+01 2.4413E+03 2.6055E+03 2.4412E+03 ;
1.0000E+00 9.7000E-01 1.0100E+00 1.3400E+00 5.5990E-01 5.6586E-01 1.3428E+00 6.2000E-01 5.4861E-07 4.7530E+01 1.2877E+00 -4.3845E-02 5.1867E-02 -4.3715E-02 -1.4561E+01 1.6486E+01 -1.4527E+01 2.3962E+03 2.5036E+03 2.3947E+03 ;
2.0000E+00 1.6500E+00 1.1200E+00 1.4600E+00 6.8304E-01 7.0082E-01 3.8748E+00 6.2000E-01 5.4709E-07 8.0850E+01 3.7854E+00 -7.4773E-02 8.8741E-02 -7.4569E-02 -2.0476E+01 2.2319E+01 -2.0446E+01 2.9060E+03 3.1640E+03 2.9023E+03 ;
3.0000E+00 2.0700E+00 1.2100E+00 1.5400E+00 7.8380E-01 7.9078E-01 5.7458E+00 6.2000E-01 5.1545E-07 1.0143E+02 5.9954E+00 -9.4144E-02 1.1168E-01 -9.3885E-02 -2.2940E+01 2.5025E+01 -2.2907E+01 3.2658E+03 3.5514E+03 3.2614E+03 ;
4.0000E+00 2.5600E+00 1.3500E+00 1.6900E+00 9.4053E-01 9.5947E-01 8.9381E+00 6.2000E-01 5.2426E-07 1.2544E+02 9.2196E+00 -1.1676E-01 1.3843E-01 -1.1643E-01 -2.5561E+01 2.7880E+01 -2.5524E+01 3.6349E+03 3.9510E+03 3.6301E+03 ;
5.0000E+00 3.2000E+00 1.5700E+00 1.9200E+00 1.1868E+00 1.2181E+00 1.3892E+01 6.2000E-01 5.2148E-07 1.5680E+02 1.4481E+01 -1.4620E-01 1.7345E-01 -1.4581E-01 -2.8590E+01 3.1013E+01 -2.8552E+01 4.0694E+03 4.4506E+03 4.0639E+03 ;
6.0000E+00 3.8000E+00 1.8500E+00 2.1900E+00 1.5003E+00 1.5218E+00 1.9945E+01 6.2000E-01 5.3096E-07 1.8620E+02 2.0493E+01 -1.7393E-01 2.0636E-01 -1.7346E-01 -3.1008E+01 3.3605E+01 -3.0968E+01 4.4637E+03 4.8868E+03 4.4574E+03 ;
7.0000E+00 4.2300E+00 2.0700E+00 2.4200E+00 1.7466E+00 1.7804E+00 2.4899E+01 6.2000E-01 5.3491E-07 2.0727E+02 2.5445E+01 -1.9386E-01 2.2998E-01 -1.9333E-01 -3.2596E+01 3.5357E+01 -3.2553E+01 4.7326E+03 5.1761E+03 4.7260E+03 ;
6.0000E+00 3.8100E+00 1.9100E+00 2.2600E+00 1.5674E+00 1.6005E+00 2.1377E+01 6.2000E-01 5.6607E-07 1.8669E+02 2.0602E+01 -1.7440E-01 2.0691E-01 -1.7393E-01 -3.1046E+01 3.3647E+01 -3.1006E+01 4.4701E+03 4.8937E+03 4.4638E+03 ;
5.0000E+00 3.1800E+00 1.6300E+00 1.9900E+00 1.2540E+00 1.2969E+00 1.5323E+01 6.2000E-01 5.8246E-07 1.5582E+02 1.4298E+01 -1.4528E-01 1.7235E-01 -1.4489E-01 -2.8503E+01 3.0922E+01 -2.8465E+01 4.0560E+03 4.4354E+03 4.0506E+03 ;
4.0000E+00 2.6000E+00 1.4300E+00 1.7700E+00 1.0301E+00 1.0494E+00 1.0699E+01 6.2000E-01 6.0840E-07 1.2740E+02 9.5135E+00 -1.1860E-01 1.4061E-01 -1.1827E-01 -2.5765E+01 2.8094E+01 -2.5728E+01 3.6630E+03 3.9828E+03 3.6582E+03 ;
3.0000E+00 2.0800E+00 1.2700E+00 1.6200E+00 8.5097E-01 8.8075E-01 7.2873E+00 6.2000E-01 6.4747E-07 1.0192E+02 6.0542E+00 -9.4606E-02 1.1223E-01 -9.4345E-02 -2.2995E+01 2.5087E+01 -2.2962E+01 3.2740E+03 3.5599E+03 3.2696E+03 ;
2.0000E+00 1.6500E+00 1.1500E+00 1.4900E+00 7.1663E-01 7.3455E-01 4.5352E+00 6.2000E-01 6.4034E-07 8.0850E+01 3.7854E+00 -7.4773E-02 8.8741E-02 -7.4569E-02 -2.0476E+01 2.2319E+01 -2.0446E+01 2.9060E+03 3.1640E+03 2.9023E+03 ;
1.0000E+00 9.7000E-01 1.0300E+00 1.3600E+00 5.8229E-01 5.8836E-01 1.7831E+00 6.2000E-01 7.2849E-07 4.7530E+01 1.2877E+00 -4.3845E-02 5.1867E-02 -4.3715E-02 -1.4561E+01 1.6486E+01 -1.4527E+01 2.3962E+03 2.5036E+03 2.3947E+03 ;
1.5000E+00 1.4000E+00 1.0900E+00 1.4200E+00 6.4946E-01 6.5583E-01 3.1040E+00 6.2000E-01 6.0877E-07 6.8600E+01 2.7118E+00 -6.3361E-02 7.5113E-02 -6.3185E-02 -1.8701E+01 2.0552E+01 -1.8670E+01 2.6962E+03 2.9084E+03 2.6932E+03 ;
2.5000E+00 1.8700E+00 1.1800E+00 1.5200E+00 7.5021E-01 7.6829E-01 5.1957E+00 6.2000E-01 5.7114E-07 9.1630E+01 4.8794E+00 -8.4900E-02 1.0076E-01 -8.4668E-02 -2.1813E+01 2.3759E+01 -2.1783E+01 3.0972E+03 3.3747E+03 3.0931E+03 ;
3.5000E+00 2.3000E+00 1.2900E+00 1.6400E+00 8.7336E-01 9.0324E-01 7.7276E+00 6.2000E-01 5.6153E-07 1.1270E+02 7.4220E+00 -1.0477E-01 1.2424E-01 -1.0448E-01 -2.4196E+01 2.6414E+01 -2.4161E+01 3.4457E+03 3.7428E+03 3.4412E+03 ;
4.5000E+00 3.1100E+00 1.5700E+00 1.9200E+00 1.1868E+00 1.2181E+00 1.3892E+01 6.2000E-01 5.5210E-07 1.5239E+02 1.3669E+01 -1.4206E-01 1.6851E-01 -1.4167E-01 -2.8196E+01 3.0603E+01 -2.8158E+01 4.0093E+03 4.3818E+03 4.0039E+03 ;
5.5000E+00 3.3700E+00 1.6800E+00 2.0300E+00 1.3100E+00 1.3418E+00 1.6313E+01 6.2000E-01 5.5216E-07 1.6513E+02 1.6078E+01 -1.5405E-01 1.8277E-01 -1.5363E-01 -2.9309E+01 3.1768E+01 -2.9270E+01 4.1825E+03 4.5784E+03 4.1767E+03 ;
6.5000E+00 4.1200E+00 2.0500E+00 2.4000E+00 1.7242E+00 1.7579E+00 2.4459E+01 6.2000E-01 5.5389E-07 2.0188E+02 2.4127E+01 -1.8876E-01 2.2394E-01 -1.8825E-01 -3.2197E+01 3.4916E+01 -3.2155E+01 4.6653E+03 5.1037E+03 4.6588E+03 ;
5.5000E+00 3.4700E+00 1.7500E+00 2.1000E+00 1.3883E+00 1.4206E+00 1.7854E+01 6.2000E-01 5.6999E-07 1.7003E+02 1.7057E+01 -1.5866E-01 1.8826E-01 -1.5824E-01 -2.9718E+01 3.2203E+01 -2.9679E+01 4.2486E+03 4.6520E+03 4.2427E+03 ;
4.5000E+00 3.1200E+00 1.6100E+00 1.9600E+00 1.2316E+00 1.2631E+00 1.4772E+01 6.2000E-01 5.8334E-07 1.5288E+02 1.3758E+01 -1.4252E-01 1.6906E-01 -1.4213E-01 -2.8240E+01 3.0649E+01 -2.8202E+01 4.0160E+03 4.3895E+03 4.0106E+03 ;
3.5000E+00 2.3200E+00 1.3300E+00 1.6800E+00 9.1814E-01 9.4823E-01 8.6082E+00 6.2000E-01 6.1478E-07 1.1368E+02 7.5533E+00 -1.0569E-01 1.2533E-01 -1.0540E-01 -2.4303E+01 2.6531E+01 -2.4268E+01 3.4607E+03 3.7590E+03 3.4562E+03 ;
2.5000E+00 1.8700E+00 1.2100E+00 1.5400E+00 7.8380E-01 7.9078E-01 5.7458E+00 6.2000E-01 6.3161E-07 9.1630E+01 4.8794E+00 -8.4900E-02 1.0076E-01 -8.4668E-02 -2.1813E+01 2.3759E+01 -2.1783E+01 3.0972E+03 3.3747E+03 3.0931E+03 ;
1.5000E+00 1.4000E+00 1.1000E+00 1.4300E+00 6.6065E-01 6.6708E-01 3.3242E+00 6.2000E-01 6.5194E-07 6.8600E+01 2.7118E+00 -6.3361E-02 7.5113E-02 -6.3185E-02 -1.8701E+01 2.0552E+01 -1.8670E+01 2.6962E+03 2.9084E+03 2.6932E+03 ;
1.0000E+00 9.6000E-01 1.0900E+00 1.4100E+00 6.4946E-01 6.4459E-01 3.5223E+00 3.9000E-01 5.8132E-07 4.7040E+01 3.0733E+00 -6.9263E-02 7.7954E-02 -6.9388E-02 -1.9677E+01 2.0945E+01 -1.9696E+01 2.8011E+03 2.9618E+03 2.8034E+03 ;
2.0000E+00 1.6500E+00 1.3700E+00 1.7000E+00 9.6292E-01 9.7072E-01 9.7968E+00 3.9000E-01 5.4732E-07 8.0850E+01 9.2843E+00 -1.2040E-01 1.3546E-01 -1.2062E-01 -2.5982E+01 2.7586E+01 -2.6006E+01 3.6876E+03 3.9076E+03 3.6911E+03 ;
3.0000E+00 2.0700E+00 1.6300E+00 1.9800E+00 1.2540E+00 1.2856E+00 1.5741E+01 3.9000E-01 5.5876E-07 1.0143E+02 1.4731E+01 -1.5157E-01 1.7059E-01 -1.5186E-01 -2.9108E+01 3.0779E+01 -2.9133E+01 4.1437E+03 4.4105E+03 4.1480E+03 ;
4.0000E+00 2.5600E+00 1.9500E+00 2.2900E+00 1.6122E+00 1.6342E+00 2.2676E+01 3.9000E-01 5.2627E-07 1.2544E+02 2.2682E+01 -1.8811E-01 2.1171E-01 -1.8847E-01 -3.2171E+01 3.4011E+01 -3.2199E+01 4.6530E+03 4.9534E+03 4.6580E+03 ;
5.0000E+00 3.1700E+00 2.5300E+00 2.8800E+00 2.2615E+00 2.2977E+00 3.5554E+01 3.9000E-01 5.3815E-07 1.5533E+02 3.4982E+01 -2.3372E-01 2.6299E-01 -2.3417E-01 -3.5605E+01 3.7699E+01 -3.5636E+01 5.2236E+03 5.5514E+03 5.2290E+03 ;
6.0000E+00 3.8100E+00 3.3500E+00 3.7400E+00 3.1795E+00 3.2649E+00 5.4048E+01 3.9000E-01 5.6631E-07 1.8669E+02 5.0748E+01 -2.8171E-01 3.1690E-01 -2.8224E-01 -3.8960E+01 4.1386E+01 -3.8996E+01 5.7539E+03 6.0933E+03 5.7596E+03 ;
5.0000E+00 3.1700E+00 2.6700E+00 3.0400E+00 2.4183E+00 2.4777E+00 3.8857E+01 3.9000E-01 5.8814E-07 1.5533E+02 3.4982E+01 -2.3372E-01 2.6299E-01 -2.3417E-01 -3.5605E+01 3.7699E+01 -3.5636E+01 5.2236E+03 5.5514E+03 5.2290E+03 ;
4.0000E+00 2.6000E+00 2.1400E+00 2.5200E+00 1.8249E+00 1.8929E+00 2.7300E+01 3.9000E-01 6.1424E-07 1.2740E+02 2.3407E+01 -1.9110E-01 2.1507E-01 -1.9147E-01 -3.2406E+01 3.4263E+01 -3.2434E+01 4.6927E+03 4.9950E+03 4.6976E+03 ;
3.0000E+00 2.0800E+00 1.7300E+00 2.1200E+00 1.3659E+00 1.4431E+00 1.8384E+01 3.9000E-01 6.4631E-07 1.0192E+02 1.4876E+01 -1.5231E-01 1.7143E-01 -1.5261E-01 -2.9175E+01 3.0849E+01 -2.9201E+01 4.1544E+03 4.4221E+03 4.1587E+03 ;
2.0000E+00 1.6500E+00 1.4600E+00 1.8400E+00 1.0637E+00 1.1282E+00 1.2330E+01 3.9000E-01 6.8883E-07 8.0850E+01 9.2843E+00 -1.2040E-01 1.3546E-01 -1.2062E-01 -2.5982E+01 2.7586E+01 -2.6006E+01 3.6876E+03 3.9076E+03 3.6911E+03 ;
1.0000E+00 9.6000E-01 1.1300E+00 1.5100E+00 6.9424E-01 7.5705E-01 5.0649E+00 3.9000E-01 8.3590E-07 4.7040E+01 3.0733E+00 -6.9263E-02 7.7954E-02 -6.9388E-02 -1.9677E+01 2.0945E+01 -1.9696E+01 2.8011E+03 2.9618E+03 2.8034E+03 ;
1.5000E+00 1.4000E+00 1.2700E+00 1.6400E+00 8.5097E-01 9.0324E-01 8.0366E+00 3.9000E-01 6.2366E-07 6.8600E+01 6.6421E+00 -1.0184E-01 1.1460E-01 -1.0203E-01 -2.3871E+01 2.5357E+01 -2.3893E+01 3.3948E+03 3.5966E+03 3.3981E+03 ;
2.5000E+00 1.8600E+00 1.4900E+00 1.8800E+00 1.0973E+00 1.1731E+00 1.3100E+01 3.9000E-01 5.7596E-07 9.1140E+01 1.1850E+01 -1.3598E-01 1.5301E-01 -1.3623E-01 -2.7619E+01 2.9259E+01 -2.7643E+01 3.9178E+03 4.1614E+03 3.9217E+03 ;
3.5000E+00 2.3000E+00 1.7700E+00 2.1600E+00 1.4107E+00 1.4880E+00 1.9265E+01 3.9000E-01 5.5390E-07 1.1270E+02 1.8249E+01 -1.6870E-01 1.8988E-01 -1.6903E-01 -3.0599E+01 3.2334E+01 -3.0626E+01 4.3872E+03 4.6731E+03 4.3919E+03 ;
4.5000E+00 3.1000E+00 2.4700E+00 2.8400E+00 2.1944E+00 2.2528E+00 3.4454E+01 3.9000E-01 5.4531E-07 1.5190E+02 3.3436E+01 -2.2848E-01 2.5710E-01 -2.2892E-01 -3.5225E+01 3.7289E+01 -3.5257E+01 5.1615E+03 5.4868E+03 5.1669E+03 ;
5.5000E+00 3.3700E+00 2.7500E+00 3.1200E+00 2.5078E+00 2.5677E+00 4.0618E+01 3.9000E-01 5.4399E-07 1.6513E+02 3.9595E+01 -2.4870E-01 2.7983E-01 -2.4918E-01 -3.6672E+01 3.8860E+01 -3.6705E+01 5.3967E+03 5.7303E+03 5.4022E+03 ;
6.5000E+00 4.1100E+00 3.6600E+00 4.0700E+00 3.5266E+00 3.6360E+00 6.1093E+01 3.9000E-01 5.5009E-07 2.0139E+02 5.9143E+01 -3.0425E-01 3.4219E-01 -3.0482E-01 -4.0497E+01 4.3105E+01 -4.0535E+01 5.9785E+03 6.3173E+03 5.9840E+03 ;
5.5000E+00 3.4600E+00 2.9700E+00 3.3600E+00 2.7541E+00 2.8376E+00 4.5682E+01 3.9000E-01 5.8039E-07 1.6954E+02 4.1764E+01 -2.5545E-01 2.8741E-01 -2.5594E-01 -3.7146E+01 3.9379E+01 -3.7179E+01 5.4724E+03 5.8080E+03 5.4780E+03 ;
4.5000E+00 3.1200E+00 2.6300E+00 3.0000E+00 2.3735E+00 2.4327E+00 3.7976E+01 3.9000E-01 5.9338E-07 1.5288E+02 3.3874E+01 -2.2998E-01 2.5879E-01 -2.3042E-01 -3.5334E+01 3.7406E+01 -3.5365E+01 5.1794E+03 5.5054E+03 5.1847E+03 ;
3.5000E+00 2.3100E+00 1.9000E+00 2.2800E+00 1.5563E+00 1.6230E+00 2.2016E+01 3.9000E-01 6.2755E-07 1.1319E+02 1.8411E+01 -1.6944E-01 1.9072E-01 -1.6977E-01 -3.0661E+01 3.2400E+01 -3.0688E+01 4.3977E+03 4.6842E+03 4.4024E+03 ;
2.5000E+00 1.8700E+00 1.5900E+00 1.9600E+00 1.2092E+00 1.2631E+00 1.5081E+01 3.9000E-01 6.5597E-07 9.1630E+01 1.1980E+01 -1.3672E-01 1.5384E-01 -1.3697E-01 -2.7693E+01 2.9334E+01 -2.7718E+01 3.9286E+03 4.1733E+03 3.9325E+03 ;
1.5000E+00 1.4000E+00 1.3200E+00 1.6800E+00 9.0694E-01 9.4823E-01 9.0270E+00 3.9000E-01 7.0051E-07 6.8600E+01 6.6421E+00 -1.0184E-01 1.1460E-01 -1.0203E-01 -2.3871E+01 2.5357E+01 -2.3893E+01 3.3948E+03 3.5966E+03 3.3981E+03 ;
1.0000E+00 9.6000E-01 2.0900E+00 2.5200E+00 1.7690E+00 1.8929E+00 2.6848E+01 1.1500E-01 3.8527E-07 4.7040E+01 3.2189E+01 -2.3292E-01 2.4217E-01 -2.3293E-01 -3.5571E+01 3.6239E+01 -3.5572E+01 5.2108E+03 5.3179E+03 5.2109E+03 ;
2.5000E-01 1.9700E-01 1.0700E+00 1.4700E+00 6.2707E-01 7.1206E-01 4.0620E+00 1.1500E-01 1.3842E-06 9.6530E+00 1.1313E+00 -4.3693E-02 4.5408E-02 -4.3694E-02 -1.4533E+01 1.4972E+01 -1.4533E+01 2.3925E+03 2.4134E+03 2.3925E+03 ;
5.0000E-01 4.5600E-01 1.2700E+00 1.6600E+00 8.5097E-01 9.2574E-01 8.3546E+00 1.1500E-01 5.3136E-07 2.2344E+01 6.7220E+00 -1.0640E-01 1.1059E-01 -1.0640E-01 -2.4419E+01 2.4904E+01 -2.4419E+01 3.4673E+03 3.5336E+03 3.4674E+03 ;
7.5000E-01 7.1600E-01 1.5500E+00 1.9600E+00 1.1644E+00 1.2631E+00 1.4739E+01 1.1500E-01 3.8023E-07 3.5084E+01 1.7428E+01 -1.7132E-01 1.7810E-01 -1.7133E-01 -3.0838E+01 3.1397E+01 -3.0838E+01 4.4210E+03 4.5141E+03 4.4210E+03 ;
1.0000E+00 9.6000E-01 1.9900E+00 2.4200E+00 1.6570E+00 1.7804E+00 2.4646E+01 1.1500E-01 3.5368E-07 4.7040E+01 3.2189E+01 -2.3292E-01 2.4217E-01 -2.3293E-01 -3.5571E+01 3.6239E+01 -3.5572E+01 5.2108E+03 5.3179E+03 5.2109E+03 ;
1.2500E+00 1.1800E+00 2.5400E+00 3.0200E+00 2.2727E+00 2.4552E+00 3.7306E+01 1.1500E-01 3.5433E-07 5.7820E+01 4.9406E+01 -2.8869E-01 3.0018E-01 -2.8870E-01 -3.9464E+01 4.0252E+01 -3.9465E+01 5.8213E+03 5.9343E+03 5.8213E+03 ;
1.1000E+00 1.0500E+00 2.3500E+00 2.7700E+00 2.0600E+00 2.1740E+00 3.2461E+01 1.1500E-01 3.8939E-07 5.1450E+01 3.8786E+01 -2.5572E-01 2.6588E-01 -2.5573E-01 -3.7190E+01 3.7902E+01 -3.7190E+01 5.4718E+03 5.5824E+03 5.4719E+03 ;
1.1500E+00 1.1000E+00 2.4200E+00 2.8400E+00 2.1384E+00 2.2528E+00 3.4002E+01 1.1500E-01 3.7164E-07 5.3900E+01 4.2718E+01 -2.6840E-01 2.7907E-01 -2.6841E-01 -3.8071E+01 3.8811E+01 -3.8071E+01 5.6101E+03 5.7220E+03 5.6102E+03 ;
1.0500E+00 1.0100E+00 2.2700E+00 2.7100E+00 1.9705E+00 2.1066E+00 3.0921E+01 1.1500E-01 4.0087E-07 4.9490E+01 3.5777E+01 -2.4558E-01 2.5534E-01 -2.4559E-01 -3.6477E+01 3.7168E+01 -3.6477E+01 5.3577E+03 5.4669E+03 5.3577E+03 ;
9.5000E-01 9.2000E-01 2.1100E+00 2.5400E+00 1.7913E+00 1.9154E+00 2.7288E+01 1.1500E-01 4.2638E-07 4.5080E+01 2.9456E+01 -2.2280E-01 2.3165E-01 -2.2281E-01 -3.4834E+01 3.5484E+01 -3.4835E+01 5.0899E+03 5.1950E+03 5.0900E+03 ;
9.0000E-01 8.6900E-01 2.0300E+00 2.4400E+00 1.7018E+00 1.8029E+00 2.5306E+01 1.1500E-01 4.4319E-07 4.2581E+01 2.6150E+01 -2.0991E-01 2.1824E-01 -2.0992E-01 -3.3874E+01 3.4501E+01 -3.3875E+01 4.9313E+03 5.0337E+03 4.9313E+03 ;
8.5000E-01 8.1900E-01 1.9400E+00 2.3600E+00 1.6010E+00 1.7130E+00 2.3435E+01 1.1500E-01 4.6206E-07 4.0131E+01 2.3102E+01 -1.9729E-01 2.0510E-01 -1.9729E-01 -3.2910E+01 3.3514E+01 -3.2910E+01 4.7704E+03 4.8701E+03 4.7705E+03 ;
8.0000E-01 7.6800E-01 1.8600E+00 2.2800E+00 1.5115E+00 1.6230E+00 2.1674E+01 1.1500E-01 4.8598E-07 3.7632E+01 2.0191E+01 -1.8442E-01 1.9173E-01 -1.8443E-01 -3.1900E+01 3.2481E+01 -3.1900E+01 4.6005E+03 4.6972E+03 4.6006E+03 ;
7.5000E-01 7.1400E-01 1.7700E+00 2.2000E+00 1.4107E+00 1.5330E+00 1.9803E+01 1.1500E-01 5.1373E-07 3.4986E+01 1.7326E+01 -1.7082E-01 1.7758E-01 -1.7083E-01 -3.0796E+01 3.1355E+01 -3.0797E+01 4.4140E+03 4.5069E+03 4.4140E+03 ;
7.0000E-01 6.6000E-01 1.6900E+00 2.1100E+00 1.3212E+00 1.4318E+00 1.7932E+01 1.1500E-01 5.4441E-07 3.2340E+01 1.4684E+01 -1.5725E-01 1.6347E-01 -1.5726E-01 -2.9636E+01 3.0181E+01 -2.9637E+01 4.2224E+03 4.3101E+03 4.2225E+03 ;
6.5000E-01 6.1100E-01 1.6100E+00 2.0400E+00 1.2316E+00 1.3531E+00 1.6281E+01 1.1500E-01 5.7675E-07 2.9939E+01 1.2480E+01 -1.4498E-01 1.5070E-01 -1.4499E-01 -2.8515E+01 2.9051E+01 -2.8515E+01 4.0460E+03 4.1279E+03 4.0461E+03 ;
6.0000E-01 5.6200E-01 1.5500E+00 1.9600E+00 1.1644E+00 1.2631E+00 1.4739E+01 1.1500E-01 6.1716E-07 2.7538E+01 1.0461E+01 -1.3275E-01 1.3797E-01 -1.3275E-01 -2.7308E+01 2.7839E+01 -2.7309E+01 3.8682E+03 3.9438E+03 3.8683E+03 ;
5.5000E-01 5.1200E-01 1.4700E+00 1.8800E+00 1.0749E+00 1.1731E+00 1.2978E+01 1.1500E-01 6.5474E-07 2.5088E+01 8.5910E+00 -1.2030E-01 1.2503E-01 -1.2030E-01 -2.5987E+01 2.6503E+01 -2.5988E+01 3.6837E+03 3.7540E+03 3.6838E+03 ;
5.0000E-01 4.5600E-01 1.4000E+00 1.8000E+00 9.9650E-01 1.0832E+00 1.1327E+01 1.1500E-01 7.2040E-07 2.2344E+01 6.7220E+00 -1.0640E-01 1.1059E-01 -1.0640E-01 -2.4419E+01 2.4904E+01 -2.4419E+01 3.4673E+03 3.5336E+03 3.4674E+03 ;
4.5000E-01 4.0100E-01 1.3300E+00 1.7300E+00 9.1814E-01 1.0045E+00 9.7858E+00 1.1500E-01 8.0483E-07 1.9649E+01 5.1162E+00 -9.2800E-02 9.6458E-02 -9.2803E-02 -2.2811E+01 2.3253E+01 -2.2811E+01 3.2374E+03 3.3011E+03 3.2374E+03 ;
4.0000E-01 3.5600E-01 1.2700E+00 1.6800E+00 8.5097E-01 9.4823E-01 8.5752E+00 1.1500E-01 8.9483E-07 1.7444E+01 3.9701E+00 -8.1730E-02 8.4955E-02 -8.1733E-02 -2.1442E+01 2.1855E+01 -2.1442E+01 3.0333E+03 3.0934E+03 3.0333E+03 ;
3.5000E-01 3.0600E-01 1.2200E+00 1.6300E+00 7.9499E-01 8.9200E-01 7.4745E+00 1.1500E-01 1.0557E-06 1.4994E+01 2.8739E+00 -6.9550E-02 7.2289E-02 -6.9552E-02 -1.9733E+01 2.0148E+01 -1.9734E+01 2.8047E+03 2.8551E+03 2.8047E+03 ;
3.0000E-01 2.5000E-01 1.1700E+00 1.5600E+00 7.3902E-01 8.1328E-01 6.1531E+00 1.1500E-01 1.3020E-06 1.2250E+01 1.8688E+00 -5.6116E-02 5.8322E-02 -5.6118E-02 -1.7376E+01 1.7810E+01 -1.7376E+01 2.5700E+03 2.6059E+03 2.5700E+03 ;
3.2500E-01 2.7500E-01 1.1800E+00 1.5700E+00 7.5021E-01 8.2452E-01 6.3733E+00 1.1500E-01 1.1145E-06 1.3475E+01 2.2885E+00 -6.2081E-02 6.4523E-02 -6.2083E-02 -1.8500E+01 1.8925E+01 -1.8500E+01 2.6704E+03 2.7131E+03 2.6705E+03 ;
3.7500E-01 3.2900E-01 1.2100E+00 1.6000E+00 7.8380E-01 8.5826E-01 7.0337E+00 1.1500E-01 8.5938E-07 1.6121E+01 3.3549E+00 -7.5134E-02 7.8096E-02 -7.5137E-02 -2.0555E+01 2.0965E+01 -2.0555E+01 2.9088E+03 2.9643E+03 2.9089E+03 ;
4.2500E-01 3.7800E-01 1.2500E+00 1.6400E+00 8.2858E-01 9.0324E-01 7.9143E+00 1.1500E-01 7.3253E-07 1.8522E+01 4.5116E+00 -8.7132E-02 9.0570E-02 -8.7135E-02 -2.2122E+01 2.2545E+01 -2.2122E+01 3.1343E+03 3.1969E+03 3.1344E+03 ;
4.7500E-01 4.2600E-01 1.2900E+00 1.6800E+00 8.7336E-01 9.4823E-01 8.7949E+00 1.1500E-01 6.4092E-07 2.0874E+01 5.8180E+00 -9.8974E-02 1.0287E-01 -9.8977E-02 -2.3549E+01 2.4011E+01 -2.3549E+01 3.3446E+03 3.4093E+03 3.3446E+03 ;
5.2500E-01 4.8300E-01 1.3500E+00 1.7500E+00 9.4053E-01 1.0270E+00 1.0226E+01 1.1500E-01 5.7971E-07 2.3667E+01 7.5935E+00 -1.1309E-01 1.1754E-01 -1.1310E-01 -2.5185E+01 2.5687E+01 -2.5186E+01 3.5734E+03 3.6414E+03 3.5734E+03 ;
5.7500E-01 5.3700E-01 1.4000E+00 1.8000E+00 9.9650E-01 1.0832E+00 1.1327E+01 1.1500E-01 5.1946E-07 2.6313E+01 9.5023E+00 -1.2652E-01 1.3149E-01 -1.2652E-01 -2.6658E+01 2.7183E+01 -2.6659E+01 3.7766E+03 3.8494E+03 3.7767E+03 ;
6.2500E-01 5.8800E-01 1.4500E+00 1.8400E+00 1.0525E+00 1.1282E+00 1.2317E+01 1.1500E-01 4.7114E-07 2.8812E+01 1.1510E+01 -1.3923E-01 1.4472E-01 -1.3924E-01 -2.7960E+01 2.8494E+01 -2.7960E+01 3.9627E+03 4.0417E+03 3.9628E+03 ;
6.7500E-01 6.3600E-01 1.5100E+00 1.9200E+00 1.1196E+00 1.2181E+00 1.3859E+01 1.1500E-01 4.5311E-07 3.1164E+01 1.3581E+01 -1.5124E-01 1.5721E-01 -1.5124E-01 -2.9096E+01 2.9636E+01 -2.9097E+01 4.1363E+03 4.2212E+03 4.1363E+03 ;
7.2500E-01 6.8700E-01 1.5700E+00 1.9700E+00 1.1868E+00 1.2744E+00 1.5069E+01 1.1500E-01 4.2226E-07 3.3663E+01 1.5977E+01 -1.6403E-01 1.7052E-01 -1.6404E-01 -3.0225E+01 3.0775E+01 -3.0225E+01 4.3187E+03 4.4092E+03 4.3188E+03 ;
7.7500E-01 7.4200E-01 1.6500E+00 2.0500E+00 1.2764E+00 1.3643E+00 1.6830E+01 1.1500E-01 4.0428E-07 3.6358E+01 1.8783E+01 -1.7787E-01 1.8491E-01 -1.7787E-01 -3.1374E+01 3.1943E+01 -3.1374E+01 4.5115E+03 4.6065E+03 4.5115E+03 ;
8.2500E-01 7.9400E-01 1.7300E+00 2.1300E+00 1.3659E+00 1.4543E+00 1.8592E+01 1.1500E-01 3.9001E-07 3.8906E+01 2.1650E+01 -1.9098E-01 1.9854E-01 -1.9098E-01 -3.2418E+01 3.3011E+01 -3.2419E+01 4.6879E+03 4.7861E+03 4.6880E+03 ;
8.7500E-01 8.5400E-01 1.8300E+00 2.2400E+00 1.4779E+00 1.5780E+00 2.0903E+01 1.1500E-01 3.7905E-07 4.1846E+01 2.5215E+01 -2.0612E-01 2.1430E-01 -2.0613E-01 -3.3587E+01 3.4208E+01 -3.3588E+01 4.8836E+03 4.9852E+03 4.8837E+03 ;
9.2500E-01 8.9300E-01 1.8900E+00 2.3200E+00 1.5451E+00 1.6680E+00 2.2445E+01 1.1500E-01 3.7223E-07 4.3757E+01 2.7681E+01 -2.1598E-01 2.2455E-01 -2.1599E-01 -3.4329E+01 3.4966E+01 -3.4329E+01 5.0066E+03 5.1103E+03 5.0067E+03 ;
9.7500E-01 9.4200E-01 1.9800E+00 2.4000E+00 1.6458E+00 1.7579E+00 2.4316E+01 1.1500E-01 3.6240E-07 4.6158E+01 3.0944E+01 -2.2837E-01 2.3744E-01 -2.2838E-01 -3.5241E+01 3.5901E+01 -3.5242E+01 5.1568E+03 5.2630E+03 5.1568E+03 ;
1.0250E+00 9.8900E-01 2.0700E+00 2.5100E+00 1.7466E+00 1.8816E+00 2.6518E+01 1.1500E-01 3.5854E-07 4.8461E+01 3.4247E+01 -2.4027E-01 2.4981E-01 -2.4027E-01 -3.6098E+01 3.6780E+01 -3.6099E+01 5.2965E+03 5.4049E+03 5.2966E+03 ;
1.0750E+00 1.0300E+00 2.1600E+00 2.6000E+00 1.8473E+00 1.9829E+00 2.8499E+01 1.1500E-01 3.5527E-07 5.0470E+01 3.7266E+01 -2.5065E-01 2.6061E-01 -2.5066E-01 -3.6834E+01 3.7536E+01 -3.6835E+01 5.4151E+03 5.5251E+03 5.4152E+03 ;
1.0000E+00 9.6000E-01 1.3300E+00 1.7200E+00 9.1814E-01 9.9321E-01 8.3436E+00 2.4000E-01 5.2147E-07 4.7040E+01 7.8323E+00 -1.1288E-01 1.2194E-01 -1.1291E-01 -2.5154E+01 2.6169E+01 -2.5158E+01 3.5709E+03 3.7080E+03 3.5714E+03 ;
2.0000E+00 1.6500E+00 1.9500E+00 2.3200E+00 1.6122E+00 1.6680E+00 2.1772E+01 2.4000E-01 4.6063E-07 8.0850E+01 2.3819E+01 -1.9680E-01 2.1263E-01 -1.9686E-01 -3.2863E+01 3.4082E+01 -3.2868E+01 4.7654E+03 4.9646E+03 4.7662E+03 ;
3.0000E+00 2.0600E+00 2.4600E+00 2.8300E+00 2.1832E+00 2.2415E+00 3.2999E+01 2.4000E-01 4.4791E-07 1.0094E+02 3.7478E+01 -2.4696E-01 2.6679E-01 -2.4704E-01 -3.6564E+01 3.7964E+01 -3.6570E+01 5.3748E+03 5.5924E+03 5.3757E+03 ;
4.0000E+00 2.5600E+00 3.5900E+00 3.9600E+00 3.4482E+00 3.5123E+00 5.7876E+01 2.4000E-01 5.0868E-07 1.2544E+02 5.8321E+01 -3.0832E-01 3.3297E-01 -3.0841E-01 -4.0790E+01 4.2479E+01 -4.0797E+01 6.0149E+03 6.2376E+03 6.0158E+03 ;
3.0000E+00 2.0700E+00 2.7700E+00 3.1300E+00 2.5302E+00 2.5789E+00 3.9714E+01 2.4000E-01 5.3385E-07 1.0143E+02 3.7849E+01 -2.4819E-01 2.6812E-01 -2.4827E-01 -3.6651E+01 3.8055E+01 -3.6657E+01 5.3887E+03 5.6066E+03 5.3896E+03 ;
2.0000E+00 1.6500E+00 2.1900E+00 2.5600E+00 1.8809E+00 1.9379E+00 2.7056E+01 2.4000E-01 5.7241E-07 8.0850E+01 2.3819E+01 -1.9680E-01 2.1263E-01 -1.9686E-01 -3.2863E+01 3.4082E+01 -3.2868E+01 4.7654E+03 4.9646E+03 4.7662E+03 ;
1.0000E+00 9.6000E-01 1.4500E+00 1.8400E+00 1.0525E+00 1.1282E+00 1.0985E+01 2.4000E-01 6.8658E-07 4.7040E+01 7.8323E+00 -1.1288E-01 1.2194E-01 -1.1291E-01 -2.5154E+01 2.6169E+01 -2.5158E+01 3.5709E+03 3.7080E+03 3.5714E+03 ;
5.0000E-01 4.5000E-01 1.0700E+00 1.4700E+00 6.2707E-01 7.1206E-01 2.7301E+00 2.4000E-01 7.7657E-07 2.2050E+01 1.6365E+00 -5.1669E-02 5.5793E-02 -5.1680E-02 -1.6439E+01 1.7313E+01 -1.6442E+01 2.5011E+03 2.5645E+03 2.5013E+03 ;
1.5000E+00 1.4100E+00 1.6500E+00 2.0300E+00 1.2764E+00 1.3418E+00 1.5278E+01 2.4000E-01 4.4264E-07 6.9090E+01 1.7262E+01 -1.6750E-01 1.8099E-01 -1.6755E-01 -3.0511E+01 3.1629E+01 -3.0515E+01 4.3687E+03 4.5536E+03 4.3694E+03 ;
2.5000E+00 1.8600E+00 2.1400E+00 2.5200E+00 1.8249E+00 1.8929E+00 2.6065E+01 2.4000E-01 4.3397E-07 9.1140E+01 3.0428E+01 -2.2248E-01 2.4036E-01 -2.2255E-01 -3.4801E+01 3.6109E+01 -3.4806E+01 5.0873E+03 5.2970E+03 5.0881E+03 ;
3.5000E+00 2.2900E+00 2.8100E+00 3.1600E+00 2.5750E+00 2.6126E+00 4.0484E+01 2.4000E-01 4.4467E-07 1.1221E+02 4.6495E+01 -2.7517E-01 2.9722E-01 -2.7525E-01 -3.8527E+01 4.0050E+01 -3.8533E+01 5.6835E+03 5.9056E+03 5.6844E+03 ;
2.5000E+00 1.8600E+00 2.4300E+00 2.8000E+00 2.1496E+00 2.2078E+00 3.2339E+01 2.4000E-01 5.3842E-07 9.1140E+01 3.0428E+01 -2.2248E-01 2.4036E-01 -2.2255E-01 -3.4801E+01 3.6109E+01 -3.4806E+01 5.0873E+03 5.2970E+03 5.0881E+03 ;
1.5000E+00 1.4000E+00 1.8600E+00 2.2400E+00 1.5115E+00 1.5780E+00 1.9901E+01 2.4000E-01 5.8485E-07 6.8600E+01 1.7012E+01 -1.6628E-01 1.7967E-01 -1.6633E-01 -3.0408E+01 3.1523E+01 -3.0413E+01 4.3515E+03 4.5357E+03 4.3523E+03 ;
5.0000E-01 4.5000E-01 1.1200E+00 1.5100E+00 6.8304E-01 7.5705E-01 3.7205E+00 2.4000E-01 1.0583E-06 2.2050E+01 1.6365E+00 -5.1669E-02 5.5793E-02 -5.1680E-02 -1.6439E+01 1.7313E+01 -1.6442E+01 2.5011E+03 2.5645E+03 2.5013E+03 ;
1.0000E+00 9.6000E-01 1.1700E+00 1.5400E+00 7.3902E-01 7.9078E-01 4.8432E+00 3.4000E-01 6.0750E-07 4.7040E+01 4.0032E+00 -7.9527E-02 8.8379E-02 -7.9613E-02 -2.1142E+01 2.2277E+01 -2.1154E+01 2.9933E+03 3.1571E+03 2.9948E+03 ;
2.0000E+00 1.6500E+00 1.5300E+00 1.8900E+00 1.1420E+00 1.1844E+00 1.2658E+01 3.4000E-01 5.3748E-07 8.0850E+01 1.2115E+01 -1.3838E-01 1.5370E-01 -1.3853E-01 -2.7861E+01 2.9322E+01 -2.7877E+01 3.9524E+03 4.1712E+03 3.9545E+03 ;
3.0000E+00 2.0600E+00 1.7900E+00 2.1600E+00 1.4331E+00 1.4880E+00 1.8492E+01 3.4000E-01 5.0375E-07 1.0094E+02 1.9043E+01 -1.7347E-01 1.9270E-01 -1.7366E-01 -3.0998E+01 3.2556E+01 -3.1014E+01 4.4533E+03 4.7103E+03 4.4557E+03 ;
4.0000E+00 2.5500E+00 2.2100E+00 2.5600E+00 1.9033E+00 1.9379E+00 2.7518E+01 3.4000E-01 4.8920E-07 1.2495E+02 2.9386E+01 -2.1557E-01 2.3943E-01 -2.1580E-01 -3.4279E+01 3.6041E+01 -3.4298E+01 5.0043E+03 5.2865E+03 5.0070E+03 ;
5.0000E+00 3.1900E+00 2.9300E+00 3.2400E+00 2.7093E+00 2.7026E+00 4.2927E+01 3.4000E-01 4.8765E-07 1.5631E+02 4.6276E+01 -2.7070E-01 3.0058E-01 -2.7099E-01 -3.8208E+01 4.0278E+01 -3.8230E+01 5.6379E+03 5.9386E+03 5.6408E+03 ;
6.0000E+00 3.7800E+00 3.7200E+00 4.0400E+00 3.5937E+00 3.6023E+00 6.0429E+01 3.4000E-01 4.8890E-07 1.8522E+02 6.5229E+01 -3.2165E-01 3.5703E-01 -3.2201E-01 -4.1684E+01 4.4118E+01 -4.1709E+01 6.1406E+03 6.4399E+03 6.1436E+03 ;
6.0000E+00 3.7900E+00 3.7200E+00 4.0400E+00 3.5937E+00 3.6023E+00 6.0429E+01 3.4000E-01 4.8632E-07 1.8571E+02 6.5578E+01 -3.2252E-01 3.5799E-01 -3.2287E-01 -4.1742E+01 4.4184E+01 -4.1768E+01 6.1484E+03 6.4476E+03 6.1514E+03 ;
5.0000E+00 3.1700E+00 3.0100E+00 3.3200E+00 2.7989E+00 2.7926E+00 4.4688E+01 3.4000E-01 5.1408E-07 1.5533E+02 4.5690E+01 -2.6897E-01 2.9867E-01 -2.6926E-01 -3.8089E+01 4.0148E+01 -3.8111E+01 5.6195E+03 5.9200E+03 5.6224E+03 ;
4.0000E+00 2.5800E+00 2.3800E+00 2.7200E+00 2.0936E+00 2.1178E+00 3.1150E+01 3.4000E-01 5.4097E-07 1.2642E+02 3.0092E+01 -2.1815E-01 2.4229E-01 -2.1839E-01 -3.4471E+01 3.6246E+01 -3.4490E+01 5.0361E+03 5.3195E+03 5.0387E+03 ;
3.0000E+00 2.0700E+00 1.9100E+00 2.2800E+00 1.5674E+00 1.6230E+00 2.1134E+01 3.4000E-01 5.7016E-07 1.0143E+02 1.9232E+01 -1.7433E-01 1.9366E-01 -1.7452E-01 -3.1068E+01 3.2630E+01 -3.1085E+01 4.4652E+03 4.7228E+03 4.4676E+03 ;
2.0000E+00 1.6500E+00 1.6000E+00 1.9600E+00 1.2204E+00 1.2631E+00 1.4199E+01 3.4000E-01 6.0291E-07 8.0850E+01 1.2115E+01 -1.3838E-01 1.5370E-01 -1.3853E-01 -2.7861E+01 2.9322E+01 -2.7877E+01 3.9524E+03 4.1712E+03 3.9545E+03 ;
1.0000E+00 9.6000E-01 1.2100E+00 1.6000E+00 7.8380E-01 8.5826E-01 5.9444E+00 3.4000E-01 7.4564E-07 4.7040E+01 4.0032E+00 -7.9527E-02 8.8379E-02 -7.9613E-02 -2.1142E+01 2.2277E+01 -2.1154E+01 2.9933E+03 3.1571E+03 2.9948E+03 ;
1.5000E+00 1.4000E+00 1.3400E+00 1.7200E+00 9.2933E-01 9.9321E-01 8.6960E+00 3.4000E-01 5.1289E-07 6.8600E+01 8.6624E+00 -1.1705E-01 1.3000E-01 -1.1718E-01 -2.5616E+01 2.7026E+01 -2.5631E+01 3.6364E+03 3.8276E+03 3.6382E+03 ;
2.5000E+00 1.8600E+00 1.6100E+00 1.9800E+00 1.2316E+00 1.2856E+00 1.4530E+01 3.4000E-01 4.8550E-07 9.1140E+01 1.5467E+01 -1.5633E-01 1.7366E-01 -1.5650E-01 -2.9538E+01 3.1033E+01 -2.9554E+01 4.2115E+03 4.4531E+03 4.2138E+03 ;
3.5000E+00 2.2900E+00 1.9400E+00 2.3200E+00 1.6010E+00 1.6680E+00 2.1905E+01 3.4000E-01 4.8287E-07 1.1221E+02 2.3618E+01 -1.9322E-01 2.1462E-01 -1.9343E-01 -3.2576E+01 3.4230E+01 -3.2593E+01 4.7201E+03 4.9895E+03 4.7227E+03 ;
4.5000E+00 3.0800E+00 2.7700E+00 3.1000E+00 2.5302E+00 2.5452E+00 3.9625E+01 3.4000E-01 4.8287E-07 1.5092E+02 4.3101E+01 -2.6121E-01 2.9007E-01 -2.6149E-01 -3.7552E+01 3.9561E+01 -3.7573E+01 5.5354E+03 5.8347E+03 5.5383E+03 ;
5.5000E+00 3.3600E+00 3.1000E+00 3.4300E+00 2.8997E+00 2.9163E+00 4.6890E+01 3.4000E-01 4.8013E-07 1.6464E+02 5.1405E+01 -2.8537E-01 3.1684E-01 -2.8568E-01 -3.9215E+01 4.1383E+01 -3.9238E+01 5.7908E+03 6.0928E+03 5.7937E+03 ;
4.5000E+00 3.1000E+00 2.8400E+00 3.1600E+00 2.6086E+00 2.6126E+00 4.1056E+01 3.4000E-01 4.9387E-07 1.5190E+02 4.3670E+01 -2.6294E-01 2.9198E-01 -2.6322E-01 -3.7671E+01 3.9692E+01 -3.7692E+01 5.5542E+03 5.8538E+03 5.5571E+03 ;
3.5000E+00 2.3000E+00 2.0500E+00 2.4000E+00 1.7242E+00 1.7579E+00 2.3995E+01 3.4000E-01 5.2436E-07 1.1270E+02 2.3828E+01 -1.9408E-01 2.1558E-01 -1.9429E-01 -3.2643E+01 3.4302E+01 -3.2660E+01 4.7314E+03 5.0013E+03 4.7339E+03 ;
2.5000E+00 1.8600E+00 1.7200E+00 2.0800E+00 1.3547E+00 1.3981E+00 1.6841E+01 3.4000E-01 5.6273E-07 9.1140E+01 1.5467E+01 -1.5633E-01 1.7366E-01 -1.5650E-01 -2.9538E+01 3.1033E+01 -2.9554E+01 4.2115E+03 4.4531E+03 4.2138E+03 ;
1.5000E+00 1.4000E+00 1.4200E+00 1.8000E+00 1.0189E+00 1.0832E+00 1.0457E+01 3.4000E-01 6.1676E-07 6.8600E+01 8.6624E+00 -1.1705E-01 1.3000E-01 -1.1718E-01 -2.5616E+01 2.7026E+01 -2.5631E+01 3.6364E+03 3.8276E+03 3.6382E+03 ;
7.5000E-01 7.1000E-01 1.1000E+00 1.4800E+00 6.6065E-01 7.2331E-01 3.4125E+00 3.4000E-01 7.8256E-07 3.4790E+01 2.1562E+00 -5.8449E-02 6.4900E-02 -5.8516E-02 -1.7824E+01 1.8988E+01 -1.7837E+01 2.6096E+03 2.7200E+03 2.6106E+03 ;
1.1250E+00 1.0800E+00 1.2200E+00 1.6000E+00 7.9499E-01 8.5826E-01 6.0543E+00 3.4000E-01 6.0003E-07 5.2920E+01 5.0955E+00 -8.9743E-02 9.9718E-02 -8.9840E-02 -2.2429E+01 2.3639E+01 -2.2441E+01 3.1841E+03 3.3569E+03 3.1857E+03 ;
1.2250E+00 1.1600E+00 1.2500E+00 1.6400E+00 8.2858E-01 9.0324E-01 6.8250E+00 3.4000E-01 5.8634E-07 5.6840E+01 5.8978E+00 -9.6570E-02 1.0728E-01 -9.6675E-02 -2.3250E+01 2.4523E+01 -2.3263E+01 3.3053E+03 3.4813E+03 3.3070E+03 ;
1.3250E+00 1.2500E+00 1.3000E+00 1.6600E+00 8.8455E-01 9.2574E-01 7.5948E+00 3.4000E-01 5.6189E-07 6.1250E+01 6.8716E+00 -1.0425E-01 1.1580E-01 -1.0437E-01 -2.4156E+01 2.5491E+01 -2.4170E+01 3.4343E+03 3.6149E+03 3.4361E+03 ;
1.4250E+00 1.3400E+00 1.3300E+00 1.7100E+00 9.1814E-01 9.8197E-01 8.4759E+00 3.4000E-01 5.4567E-07 6.5660E+01 7.9209E+00 -1.1193E-01 1.2432E-01 -1.1206E-01 -2.5041E+01 2.6425E+01 -2.5055E+01 3.5572E+03 3.7437E+03 3.5590E+03 ;
1.5250E+00 1.4200E+00 1.3700E+00 1.7300E+00 9.6292E-01 1.0045E+00 9.1358E+00 3.4000E-01 5.2376E-07 6.9580E+01 8.9171E+00 -1.1876E-01 1.3189E-01 -1.1889E-01 -2.5805E+01 2.7223E+01 -2.5820E+01 3.6624E+03 3.8554E+03 3.6642E+03 ;
1.6250E+00 1.4800E+00 1.4000E+00 1.7600E+00 9.9650E-01 1.0382E+00 9.7963E+00 3.4000E-01 5.1700E-07 7.2520E+01 9.7035E+00 -1.2388E-01 1.3757E-01 -1.2401E-01 -2.6362E+01 2.7798E+01 -2.6378E+01 3.7394E+03 3.9383E+03 3.7413E+03 ;
1.7250E+00 1.5300E+00 1.4200E+00 1.8000E+00 1.0189E+00 1.0832E+00 1.0457E+01 3.4000E-01 5.1640E-07 7.4970E+01 1.0385E+01 -1.2814E-01 1.4231E-01 -1.2828E-01 -2.6816E+01 2.8262E+01 -2.6832E+01 3.8027E+03 4.0071E+03 3.8046E+03 ;
1.8250E+00 1.5800E+00 1.4500E+00 1.8000E+00 1.0525E+00 1.0832E+00 1.0787E+01 3.4000E-01 4.9949E-07 7.7420E+01 1.1089E+01 -1.3241E-01 1.4705E-01 -1.3255E-01 -2.7259E+01 2.8712E+01 -2.7275E+01 3.8653E+03 4.0757E+03 3.8673E+03 ;
2.6250E+00 1.9100E+00 1.6500E+00 2.0000E+00 1.2764E+00 1.3081E+00 1.5190E+01 3.4000E-01 4.8132E-07 9.3590E+01 1.6326E+01 -1.6061E-01 1.7842E-01 -1.6078E-01 -2.9914E+01 3.1421E+01 -2.9930E+01 4.2725E+03 4.5187E+03 4.2748E+03 ;
2.7250E+00 1.9500E+00 1.6700E+00 2.0400E+00 1.2988E+00 1.3531E+00 1.5851E+01 3.4000E-01 4.8187E-07 9.5550E+01 1.7030E+01 -1.6404E-01 1.8223E-01 -1.6421E-01 -3.0209E+01 3.1727E+01 -3.0225E+01 4.3211E+03 4.5706E+03 4.3235E+03 ;
2.8250E+00 1.9900E+00 1.7000E+00 2.0800E+00 1.3324E+00 1.3981E+00 1.6621E+01 3.4000E-01 4.8520E-07 9.7510E+01 1.7749E+01 -1.6747E-01 1.8604E-01 -1.6764E-01 -3.0499E+01 3.2031E+01 -3.0515E+01 4.3694E+03 4.6219E+03 4.3718E+03 ;
3.1000E+00 2.1100E+00 1.7900E+00 2.1600E+00 1.4331E+00 1.4880E+00 1.8492E+01 3.4000E-01 4.8016E-07 1.0339E+02 1.9995E+01 -1.7776E-01 1.9747E-01 -1.7795E-01 -3.1348E+01 3.2926E+01 -3.1364E+01 4.5125E+03 4.7725E+03 4.5150E+03 ;
4.1000E+00 2.6200E+00 2.2500E+00 2.6000E+00 1.9481E+00 1.9829E+00 2.8398E+01 3.4000E-01 4.7824E-07 1.2838E+02 3.1047E+01 -2.2159E-01 2.4611E-01 -2.2183E-01 -3.4725E+01 3.6517E+01 -3.4744E+01 5.0780E+03 5.3633E+03 5.0807E+03 ;
4.2000E+00 2.7700E+00 2.4000E+00 2.7500E+00 2.1160E+00 2.1516E+00 3.1701E+01 3.4000E-01 4.7760E-07 1.3573E+02 3.4761E+01 -2.3450E-01 2.6044E-01 -2.3475E-01 -3.5665E+01 3.7522E+01 -3.5684E+01 5.2322E+03 5.5235E+03 5.2350E+03 ;
4.3000E+00 2.9600E+00 2.6000E+00 2.9200E+00 2.3399E+00 2.3427E+00 3.5773E+01 3.4000E-01 4.7198E-07 1.4504E+02 3.9766E+01 -2.5087E-01 2.7859E-01 -2.5114E-01 -3.6829E+01 3.8776E+01 -3.6849E+01 5.4205E+03 5.7174E+03 5.4234E+03 ;
4.4000E+00 3.0000E+00 2.6600E+00 3.0000E+00 2.4071E+00 2.4327E+00 3.7314E+01 3.4000E-01 4.7928E-07 1.4700E+02 4.0863E+01 -2.5431E-01 2.8242E-01 -2.5459E-01 -3.7071E+01 3.9038E+01 -3.7091E+01 5.4592E+03 5.7570E+03 5.4620E+03 ;
4.5000E+00 3.1000E+00 2.7600E+00 3.0800E+00 2.5190E+00 2.5227E+00 3.9295E+01 3.4000E-01 4.7268E-07 1.5190E+02 4.3670E+01 -2.6294E-01 2.9198E-01 -2.6322E-01 -3.7671E+01 3.9692E+01 -3.7692E+01 5.5542E+03 5.8538E+03 5.5571E+03 ;
4.6000E+00 3.1440E+00 2.8100E+00 3.1200E+00 2.5750E+00 2.5677E+00 4.0285E+01 3.4000E-01 4.7113E-07 1.5406E+02 4.4934E+01 -2.6673E-01 2.9618E-01 -2.6702E-01 -3.7934E+01 3.9978E+01 -3.7956E+01 5.5954E+03 5.8956E+03 5.5983E+03 ;
4.7000E+00 3.1500E+00 2.8200E+00 3.1500E+00 2.5862E+00 2.6014E+00 4.0726E+01 3.4000E-01 4.7447E-07 1.5435E+02 4.5108E+01 -2.6725E-01 2.9676E-01 -2.6754E-01 -3.7970E+01 4.0018E+01 -3.7991E+01 5.6009E+03 5.9012E+03 5.6038E+03 ;
1.0000E+00 9.6000E-01 1.0800E+00 1.4400E+00 6.3826E-01 6.7832E-01 2.7516E+00 4.5000E-01 6.0459E-07 4.7040E+01 2.3334E+00 -6.0053E-02 6.8473E-02 -6.0062E-02 -1.8120E+01 1.9567E+01 -1.8121E+01 2.6373E+03 2.7847E+03 2.6376E+03 ;
2.0000E+00 1.6500E+00 1.2900E+00 1.6400E+00 8.7336E-01 9.0324E-01 7.2643E+00 4.5000E-01 5.4032E-07 8.0850E+01 7.0364E+00 -1.0419E-01 1.1886E-01 -1.0421E-01 -2.4142E+01 2.5830E+01 -2.4144E+01 3.4342E+03 3.6617E+03 3.4348E+03 ;
3.0000E+00 2.0600E+00 1.4600E+00 1.7900E+00 1.0637E+00 1.0719E+00 1.0786E+01 4.5000E-01 5.1470E-07 1.0094E+02 1.1048E+01 -1.3051E-01 1.4887E-01 -1.3055E-01 -2.7056E+01 2.8880E+01 -2.7058E+01 3.8385E+03 4.1020E+03 3.8393E+03 ;
4.0000E+00 2.5500E+00 1.7100E+00 2.0200E+00 1.3435E+00 1.3306E+00 1.6069E+01 4.5000E-01 5.0042E-07 1.2495E+02 1.7038E+01 -1.6200E-01 1.8486E-01 -1.6205E-01 -3.0025E+01 3.1937E+01 -3.0028E+01 4.2935E+03 4.6063E+03 4.2945E+03 ;
5.0000E+00 3.1900E+00 2.1500E+00 3.4400E+00 1.8361E+00 2.9275E+00 3.6567E+01 4.5000E-01 7.2767E-07 1.5631E+02 2.6821E+01 -2.0333E-01 2.3199E-01 -2.0340E-01 -3.3346E+01 3.5505E+01 -3.3350E+01 4.8523E+03 5.1995E+03 4.8533E+03 ;
6.0000E+00 3.7800E+00 2.6300E+00 2.8700E+00 2.3735E+00 2.2865E+00 3.5550E+01 4.5000E-01 5.0383E-07 1.8522E+02 3.7805E+01 -2.4152E-01 2.7551E-01 -2.4159E-01 -3.6157E+01 3.8563E+01 -3.6160E+01 5.3155E+03 5.6854E+03 5.3166E+03 ;
7.0000E+00 4.2200E+00 3.0400E+00 3.2400E+00 2.8325E+00 2.7026E+00 4.4135E+01 4.5000E-01 5.0186E-07 2.0678E+02 4.7222E+01 -2.7006E-01 3.0801E-01 -2.7013E-01 -3.8153E+01 4.0782E+01 -3.8156E+01 5.6328E+03 6.0103E+03 5.6338E+03 ;
6.0000E+00 3.8110E+00 2.7100E+00 2.9400E+00 2.4630E+00 2.3652E+00 3.7201E+01 4.5000E-01 5.1869E-07 1.8674E+02 3.8434E+01 -2.4353E-01 2.7780E-01 -2.4360E-01 -3.6300E+01 3.8720E+01 -3.6303E+01 5.3387E+03 5.7094E+03 5.3397E+03 ;
5.0000E+00 3.1700E+00 2.2200E+00 2.4800E+00 1.9145E+00 1.8479E+00 2.6745E+01 4.5000E-01 5.3895E-07 1.5533E+02 2.6482E+01 -2.0204E-01 2.3051E-01 -2.0210E-01 -3.3248E+01 3.5398E+01 -3.3251E+01 4.8358E+03 5.1820E+03 4.8368E+03 ;
4.0000E+00 2.5900E+00 1.8300E+00 2.1300E+00 1.4779E+00 1.4543E+00 1.8601E+01 4.5000E-01 5.6150E-07 1.2691E+02 1.7585E+01 -1.6458E-01 1.8781E-01 -1.6463E-01 -3.0246E+01 3.2170E+01 -3.0249E+01 4.3300E+03 4.6457E+03 4.3310E+03 ;
3.0000E+00 2.0700E+00 1.5400E+00 1.8800E+00 1.1532E+00 1.1731E+00 1.2658E+01 4.5000E-01 5.9819E-07 1.0143E+02 1.1158E+01 -1.3115E-01 1.4960E-01 -1.3119E-01 -2.7122E+01 2.8948E+01 -2.7125E+01 3.8480E+03 4.1125E+03 3.8487E+03 ;
2.0000E+00 1.6500E+00 1.3500E+00 1.6800E+00 9.4053E-01 9.4823E-01 8.3646E+00 4.5000E-01 6.2216E-07 8.0850E+01 7.0364E+00 -1.0419E-01 1.1886E-01 -1.0421E-01 -2.4142E+01 2.5830E+01 -2.4144E+01 3.4342E+03 3.6617E+03 3.4348E+03 ;
1.0000E+00 9.6000E-01 1.1100E+00 1.4800E+00 6.7185E-01 7.2331E-01 3.5223E+00 4.5000E-01 7.7395E-07 4.7040E+01 2.3334E+00 -6.0053E-02 6.8473E-02 -6.0062E-02 -1.8120E+01 1.9567E+01 -1.8121E+01 2.6373E+03 2.7847E+03 2.6376E+03 ;
5.0000E-01 4.5000E-01 9.9200E-01 1.3600E+00 5.3974E-01 5.8836E-01 9.0255E-01 4.5000E-01 9.0255E-07 2.2050E+01 5.0116E-01 -2.7981E-02 3.1842E-02 -2.7976E-02 -9.9064E+00 1.1136E+01 -9.9049E+00 2.2477E+03 2.2755E+03 2.2477E+03 ;
1.5000E+00 1.4000E+00 1.2000E+00 1.5600E+00 7.7260E-01 8.1328E-01 5.3933E+00 4.5000E-01 5.5722E-07 6.8600E+01 5.0363E+00 -8.8106E-02 1.0056E-01 -8.8130E-02 -2.2223E+01 2.3738E+01 -2.2225E+01 3.1550E+03 3.3712E+03 3.1555E+03 ;
2.5000E+00 1.8600E+00 1.3700E+00 1.7200E+00 9.6292E-01 9.9321E-01 9.0255E+00 4.5000E-01 5.2829E-07 9.1140E+01 8.9775E+00 -1.1768E-01 1.3422E-01 -1.1771E-01 -2.5678E+01 2.7460E+01 -2.5680E+01 3.6469E+03 3.8896E+03 3.6475E+03 ;
3.5000E+00 2.2900E+00 1.5700E+00 1.8900E+00 1.1868E+00 1.1844E+00 1.3097E+01 4.5000E-01 5.0576E-07 1.1221E+02 1.3698E+01 -1.4527E-01 1.6575E-01 -1.4531E-01 -2.8519E+01 3.0372E+01 -2.8522E+01 4.0535E+03 4.3427E+03 4.0544E+03 ;
4.5000E+00 3.0600E+00 2.0500E+00 2.3400E+00 1.7242E+00 1.6905E+00 2.3333E+01 4.5000E-01 5.0462E-07 1.4994E+02 2.4654E+01 -1.9493E-01 2.2241E-01 -1.9499E-01 -3.2699E+01 3.4806E+01 -3.2702E+01 4.7438E+03 5.0849E+03 4.7448E+03 ;
5.5000E+00 3.3500E+00 2.2700E+00 2.5300E+00 1.9705E+00 1.9041E+00 2.7846E+01 4.5000E-01 5.0245E-07 1.6415E+02 2.9613E+01 -2.1368E-01 2.4378E-01 -2.1374E-01 -3.4128E+01 3.6350E+01 -3.4131E+01 4.9824E+03 5.3368E+03 4.9834E+03 ;
6.5000E+00 4.0700E+00 2.9000E+00 3.1200E+00 2.6758E+00 2.5677E+00 4.1274E+01 4.5000E-01 5.0456E-07 1.9943E+02 4.3894E+01 -2.6033E-01 2.9693E-01 -2.6040E-01 -3.7479E+01 4.0028E+01 -3.7482E+01 5.5274E+03 5.9031E+03 5.5284E+03 ;
7.5000E+00 4.5600E+00 3.4100E+00 3.6000E+00 3.2467E+00 3.1075E+00 5.2170E+01 4.5000E-01 5.0806E-07 2.2344E+02 5.5214E+01 -2.9216E-01 3.3315E-01 -2.9223E-01 -3.9667E+01 4.2488E+01 -3.9670E+01 5.8610E+03 6.2395E+03 5.8619E+03 ;
6.5000E+00 4.0000E+00 2.9700E+00 3.1900E+00 2.7541E+00 2.6464E+00 4.2815E+01 4.5000E-01 5.4187E-07 1.9600E+02 4.2382E+01 -2.5578E-01 2.9176E-01 -2.5585E-01 -3.7162E+01 3.9675E+01 -3.7166E+01 5.4772E+03 5.8519E+03 5.4782E+03 ;
5.5000E+00 3.5100E+00 2.5100E+00 2.7600E+00 2.2391E+00 2.1628E+00 3.3019E+01 4.5000E-01 5.4272E-07 1.7199E+02 3.2545E+01 -2.2403E-01 2.5558E-01 -2.2410E-01 -3.4894E+01 3.7182E+01 -3.4898E+01 5.1091E+03 5.4701E+03 5.1101E+03 ;
4.5000E+00 3.1100E+00 2.2100E+00 2.4800E+00 1.9033E+00 1.8479E+00 2.6635E+01 4.5000E-01 5.5765E-07 1.5239E+02 2.5477E+01 -1.9816E-01 2.2609E-01 -1.9822E-01 -3.2949E+01 3.5076E+01 -3.2953E+01 4.7858E+03 5.1293E+03 4.7869E+03 ;
3.5000E+00 2.3100E+00 1.6700E+00 2.0000E+00 1.2988E+00 1.3081E+00 1.5409E+01 4.5000E-01 5.8477E-07 1.1319E+02 1.3942E+01 -1.4655E-01 1.6722E-01 -1.4660E-01 -2.8640E+01 3.0496E+01 -2.8642E+01 4.0721E+03 4.3633E+03 4.0730E+03 ;
2.5000E+00 1.8600E+00 1.4500E+00 1.7800E+00 1.0525E+00 1.0607E+00 1.0566E+01 4.5000E-01 6.1846E-07 9.1140E+01 8.9775E+00 -1.1768E-01 1.3422E-01 -1.1771E-01 -2.5678E+01 2.7460E+01 -2.5680E+01 3.6469E+03 3.8896E+03 3.6475E+03 ;
1.5000E+00 1.4000E+00 1.2600E+00 1.6000E+00 8.3977E-01 8.5826E-01 6.4936E+00 4.5000E-01 6.7089E-07 6.8600E+01 5.0363E+00 -8.8106E-02 1.0056E-01 -8.8130E-02 -2.2223E+01 2.3738E+01 -2.2225E+01 3.1550E+03 3.3712E+03 3.1555E+03 ;
5.0000E-01 4.5000E-01 1.0100E+00 1.3900E+00 5.5990E-01 6.2209E-01 1.4312E+00 4.5000E-01 1.4312E-06 2.2050E+01 5.0116E-01 -2.7981E-02 3.1842E-02 -2.7976E-02 -9.9064E+00 1.1136E+01 -9.9049E+00 2.2477E+03 2.2755E+03 2.2477E+03 ;
1.0000E+00 9.6000E-01 1.0500E+00 1.4400E+00 6.0468E-01 6.7832E-01 2.4221E+00 5.0500E-01 6.7025E-07 4.7040E+01 1.8691E+00 -5.3332E-02 6.1708E-02 -5.3443E-02 -1.6789E+01 1.8434E+01 -1.6811E+01 2.5279E+03 2.6638E+03 2.5297E+03 ;
2.0000E+00 1.6500E+00 1.2100E+00 1.6000E+00 7.8380E-01 8.5826E-01 5.9444E+00 5.0500E-01 5.5683E-07 8.0850E+01 5.6278E+00 -9.2341E-02 1.0698E-01 -9.2514E-02 -2.2732E+01 2.4488E+01 -2.2751E+01 3.2325E+03 3.4766E+03 3.2358E+03 ;
3.0000E+00 2.0600E+00 1.3500E+00 1.7200E+00 9.4053E-01 9.9321E-01 8.8058E+00 5.0500E-01 5.2920E-07 1.0094E+02 8.8325E+00 -1.1571E-01 1.3398E-01 -1.1592E-01 -2.5454E+01 2.7435E+01 -2.5476E+01 3.6174E+03 3.8861E+03 3.6209E+03 ;
4.0000E+00 2.5500E+00 1.5600E+00 1.9200E+00 1.1756E+00 1.2181E+00 1.3319E+01 5.0500E-01 5.2235E-07 1.2495E+02 1.3617E+01 -1.4358E-01 1.6630E-01 -1.4384E-01 -2.8353E+01 3.0419E+01 -2.8375E+01 4.0297E+03 4.3505E+03 4.0338E+03 ;
5.0000E+00 3.1900E+00 1.9100E+00 2.2400E+00 1.5674E+00 1.5780E+00 2.0693E+01 5.0500E-01 5.1858E-07 1.5631E+02 2.1430E+01 -1.8013E-01 2.0866E-01 -1.8046E-01 -3.1524E+01 3.3780E+01 -3.1547E+01 4.5471E+03 4.9154E+03 4.5519E+03 ;
6.0000E+00 3.7800E+00 2.2900E+00 2.6000E+00 1.9929E+00 1.9829E+00 2.8838E+01 5.0500E-01 5.1471E-07 1.8522E+02 3.0204E+01 -2.1392E-01 2.4777E-01 -2.1431E-01 -3.4140E+01 3.6632E+01 -3.4166E+01 4.9864E+03 5.3824E+03 4.9915E+03 ;
7.0000E+00 4.2200E+00 2.6200E+00 2.8800E+00 2.3623E+00 2.2977E+00 3.5551E+01 5.0500E-01 5.0911E-07 2.0678E+02 3.7727E+01 -2.3916E-01 2.7699E-01 -2.3961E-01 -3.5982E+01 3.8663E+01 -3.6011E+01 5.2893E+03 5.7009E+03 5.2948E+03 ;
6.0000E+00 3.8110E+00 2.3500E+00 2.6400E+00 2.0600E+00 2.0278E+00 2.9938E+01 5.0500E-01 5.2569E-07 1.8674E+02 3.0706E+01 -2.1570E-01 2.4983E-01 -2.1609E-01 -3.4272E+01 3.6777E+01 -3.4299E+01 5.0084E+03 5.4057E+03 5.0135E+03 ;
5.0000E+00 3.1700E+00 1.9500E+00 2.2800E+00 1.6122E+00 1.6230E+00 2.1573E+01 5.0500E-01 5.4750E-07 1.5533E+02 2.1159E+01 -1.7898E-01 2.0733E-01 -1.7931E-01 -3.1431E+01 3.3680E+01 -3.1455E+01 4.5315E+03 4.8988E+03 4.5362E+03 ;
4.0000E+00 2.5900E+00 1.6400E+00 1.9700E+00 1.2652E+00 1.2744E+00 1.4749E+01 5.0500E-01 5.6071E-07 1.2691E+02 1.4053E+01 -1.4585E-01 1.6895E-01 -1.4612E-01 -2.8569E+01 3.0641E+01 -2.8591E+01 4.0627E+03 4.3877E+03 4.0668E+03 ;
3.0000E+00 2.0700E+00 1.4100E+00 1.7600E+00 1.0077E+00 1.0382E+00 9.9061E+00 5.0500E-01 5.8958E-07 1.0143E+02 8.9198E+00 -1.1628E-01 1.3463E-01 -1.1649E-01 -2.5517E+01 2.7502E+01 -2.5540E+01 3.6261E+03 3.8957E+03 3.6297E+03 ;
2.0000E+00 1.6500E+00 1.2500E+00 1.6400E+00 8.2858E-01 9.0324E-01 6.8250E+00 5.0500E-01 6.3932E-07 8.0850E+01 5.6278E+00 -9.2341E-02 1.0698E-01 -9.2514E-02 -2.2732E+01 2.4488E+01 -2.2751E+01 3.2325E+03 3.4766E+03 3.2358E+03 ;
1.0000E+00 9.6000E-01 1.0700E+00 1.4400E+00 6.2707E-01 6.7832E-01 2.6418E+00 5.0500E-01 7.3103E-07 4.7040E+01 1.8691E+00 -5.3332E-02 6.1708E-02 -5.3443E-02 -1.6789E+01 1.8434E+01 -1.6811E+01 2.5279E+03 2.6638E+03 2.5297E+03 ;
5.0000E-01 4.5000E-01 9.7700E-01 1.3600E+00 5.2295E-01 5.8836E-01 7.3782E-01 5.0500E-01 9.2919E-07 2.2050E+01 4.0316E-01 -2.4878E-02 2.8755E-02 -2.4942E-02 -8.8860E+00 1.0159E+01 -8.9070E+00 2.2280E+03 2.2525E+03 2.2284E+03 ;
1.5000E+00 1.4000E+00 1.1500E+00 1.5200E+00 7.1663E-01 7.6829E-01 4.4029E+00 5.0500E-01 5.7289E-07 6.8600E+01 4.0294E+00 -7.8104E-02 9.0520E-02 -7.8250E-02 -2.0943E+01 2.2536E+01 -2.0961E+01 2.9678E+03 3.1963E+03 2.9707E+03 ;
2.5000E+00 1.8600E+00 1.2900E+00 1.6700E+00 8.7336E-01 9.3698E-01 7.5953E+00 5.0500E-01 5.5989E-07 9.1140E+01 7.1785E+00 -1.0432E-01 1.2081E-01 -1.0451E-01 -2.4152E+01 2.6044E+01 -2.4174E+01 3.4370E+03 3.6913E+03 3.4404E+03 ;
3.5000E+00 2.2900E+00 1.4500E+00 1.8000E+00 1.0525E+00 1.0832E+00 1.0787E+01 5.0500E-01 5.2456E-07 1.1221E+02 1.0949E+01 -1.2879E-01 1.4913E-01 -1.2903E-01 -2.6872E+01 2.8904E+01 -2.6894E+01 3.8139E+03 4.1058E+03 3.8177E+03 ;
4.5000E+00 3.0600E+00 1.8300E+00 2.1600E+00 1.4779E+00 1.4880E+00 1.8932E+01 5.0500E-01 5.1562E-07 1.4994E+02 1.9700E+01 -1.7269E-01 2.0005E-01 -1.7300E-01 -3.0919E+01 3.3124E+01 -3.0942E+01 4.4446E+03 4.8060E+03 4.4492E+03 ;
5.5000E+00 3.3500E+00 2.0000E+00 2.3200E+00 1.6682E+00 1.6680E+00 2.2564E+01 5.0500E-01 5.1275E-07 1.6415E+02 2.3661E+01 -1.8929E-01 2.1926E-01 -1.8963E-01 -3.2252E+01 3.4573E+01 -3.2277E+01 4.6705E+03 5.0467E+03 4.6753E+03 ;
6.5000E+00 4.0700E+00 2.5100E+00 2.8000E+00 2.2391E+00 2.2078E+00 3.3460E+01 5.0500E-01 5.1514E-07 1.9943E+02 3.5068E+01 -2.3055E-01 2.6702E-01 -2.3098E-01 -3.5363E+01 3.7977E+01 -3.5391E+01 5.1882E+03 5.5953E+03 5.1935E+03 ;
7.5000E+00 4.5600E+00 2.9100E+00 3.1600E+00 2.6869E+00 2.6126E+00 4.1825E+01 5.0500E-01 5.1296E-07 2.2344E+02 4.4113E+01 -2.5870E-01 2.9958E-01 -2.5918E-01 -3.7359E+01 4.0207E+01 -3.7390E+01 5.5106E+03 5.9292E+03 5.5162E+03 ;
6.5000E+00 4.0000E+00 2.5600E+00 2.8400E+00 2.2951E+00 2.2528E+00 3.4451E+01 5.0500E-01 5.4911E-07 1.9600E+02 3.3861E+01 -2.2654E-01 2.6237E-01 -2.2695E-01 -3.5071E+01 3.7654E+01 -3.5099E+01 5.1402E+03 5.5449E+03 5.1455E+03 ;
5.5000E+00 3.5100E+00 2.1900E+00 2.4800E+00 1.8809E+00 1.8479E+00 2.6416E+01 5.0500E-01 5.4680E-07 1.7199E+02 2.6002E+01 -1.9845E-01 2.2986E-01 -1.9881E-01 -3.2966E+01 3.5351E+01 -3.2991E+01 4.7905E+03 5.1744E+03 4.7955E+03 ;
4.5000E+00 3.1100E+00 1.9400E+00 2.2600E+00 1.6010E+00 1.6005E+00 2.1243E+01 5.0500E-01 5.6011E-07 1.5239E+02 2.0357E+01 -1.7555E-01 2.0336E-01 -1.7587E-01 -3.1153E+01 3.3378E+01 -3.1177E+01 4.4842E+03 4.8484E+03 4.4889E+03 ;
3.5000E+00 2.3100E+00 1.5000E+00 1.8800E+00 1.1085E+00 1.1731E+00 1.2218E+01 5.0500E-01 5.8394E-07 1.1319E+02 1.1143E+01 -1.2993E-01 1.5045E-01 -1.3016E-01 -2.6990E+01 2.9026E+01 -2.7013E+01 3.8307E+03 4.1248E+03 3.8344E+03 ;
2.5000E+00 1.8600E+00 1.3300E+00 1.7000E+00 9.1814E-01 9.7072E-01 8.3656E+00 5.0500E-01 6.1667E-07 9.1140E+01 7.1785E+00 -1.0432E-01 1.2081E-01 -1.0451E-01 -2.4152E+01 2.6044E+01 -2.4174E+01 3.4370E+03 3.6913E+03 3.4404E+03 ;
1.5000E+00 1.4000E+00 1.1900E+00 1.5600E+00 7.6141E-01 8.1328E-01 5.2835E+00 5.0500E-01 6.8746E-07 6.8600E+01 4.0294E+00 -7.8104E-02 9.0520E-02 -7.8250E-02 -2.0943E+01 2.2536E+01 -2.0961E+01 2.9678E+03 3.1963E+03 2.9707E+03 ;
5.0000E-01 4.5000E-01 9.9000E-01 1.3800E+00 5.3751E-01 6.1085E-01 1.1012E+00 5.0500E-01 1.3869E-06 2.2050E+01 4.0316E-01 -2.4878E-02 2.8755E-02 -2.4942E-02 -8.8860E+00 1.0159E+01 -8.9070E+00 2.2280E+03 2.2525E+03 2.2284E+03 ;
1.0000E+00 9.6000E-01 1.0100E+00 1.3700E+00 5.5990E-01 5.9960E-01 1.0348E+00 7.8500E-01 6.9194E-07 4.7040E+01 8.0245E-01 -3.4061E-02 4.1644E-02 -3.4043E-02 -1.1807E+01 1.3990E+01 -1.1802E+01 2.2956E+03 2.3688E+03 2.2954E+03 ;
2.0000E+00 1.6500E+00 1.0900E+00 1.4400E+00 6.4946E-01 6.7832E-01 2.6857E+00 7.8500E-01 6.0789E-07 8.0850E+01 2.3999E+00 -5.8502E-02 7.1753E-02 -5.8474E-02 -1.7811E+01 2.0065E+01 -1.7806E+01 2.6137E+03 2.8457E+03 2.6133E+03 ;
3.0000E+00 2.0600E+00 1.1500E+00 1.5100E+00 7.1663E-01 7.5705E-01 4.1169E+00 7.8500E-01 5.9782E-07 1.0094E+02 3.7612E+00 -7.3076E-02 8.9816E-02 -7.3043E-02 -2.0220E+01 2.2448E+01 -2.0215E+01 2.8759E+03 3.1839E+03 2.8753E+03 ;
4.0000E+00 2.5500E+00 1.2400E+00 1.6000E+00 8.1738E-01 8.5826E-01 6.0982E+00 7.8500E-01 5.7791E-07 1.2495E+02 5.7912E+00 -9.0704E-02 1.1144E-01 -9.0661E-02 -2.2510E+01 2.4996E+01 -2.2504E+01 3.2065E+03 3.5479E+03 3.2058E+03 ;
5.0000E+00 3.1900E+00 1.4000E+00 1.7200E+00 9.9650E-01 9.9321E-01 9.1792E+00 7.8500E-01 5.5586E-07 1.5631E+02 9.1052E+00 -1.1375E-01 1.3966E-01 -1.1370E-01 -2.5209E+01 2.7999E+01 -2.5202E+01 3.5908E+03 3.9692E+03 3.5901E+03 ;
6.0000E+00 3.7800E+00 1.5700E+00 1.8800E+00 1.1868E+00 1.1731E+00 1.2811E+01 7.8500E-01 5.5253E-07 1.8522E+02 1.2826E+01 -1.3491E-01 1.6573E-01 -1.3485E-01 -2.7473E+01 3.0367E+01 -2.7466E+01 3.9076E+03 4.3430E+03 3.9068E+03 ;
7.0000E+00 4.2200E+00 1.7100E+00 2.0000E+00 1.3435E+00 1.3081E+00 1.5673E+01 7.8500E-01 5.4233E-07 2.0678E+02 1.6017E+01 -1.5071E-01 1.8521E-01 -1.5064E-01 -2.8988E+01 3.1960E+01 -2.8981E+01 4.1372E+03 4.6116E+03 4.1363E+03 ;
6.0000E+00 3.8110E+00 1.6200E+00 1.9200E+00 1.2428E+00 1.2181E+00 1.3802E+01 7.8500E-01 5.8560E-07 1.8674E+02 1.3039E+01 -1.3602E-01 1.6710E-01 -1.3596E-01 -2.7585E+01 3.0483E+01 -2.7578E+01 3.9239E+03 4.3623E+03 3.9231E+03 ;
5.0000E+00 3.1700E+00 1.4200E+00 1.7600E+00 1.0189E+00 1.0382E+00 9.8402E+00 7.8500E-01 6.0343E-07 1.5533E+02 8.9903E+00 -1.1303E-01 1.3878E-01 -1.1298E-01 -2.5128E+01 2.7913E+01 -2.5121E+01 3.5796E+03 3.9564E+03 3.5789E+03 ;
4.0000E+00 2.5900E+00 1.2800E+00 1.6200E+00 8.6216E-01 8.8075E-01 6.7581E+00 7.8500E-01 6.2082E-07 1.2691E+02 5.9763E+00 -9.2147E-02 1.1321E-01 -9.2104E-02 -2.2684E+01 2.5196E+01 -2.2679E+01 3.2325E+03 3.5755E+03 3.2318E+03 ;
3.0000E+00 2.0700E+00 1.1700E+00 1.5200E+00 7.3902E-01 7.6829E-01 4.4469E+00 7.8500E-01 6.3952E-07 1.0143E+02 3.7982E+00 -7.3433E-02 9.0258E-02 -7.3400E-02 -2.0272E+01 2.2502E+01 -2.0267E+01 2.8826E+03 3.1920E+03 2.8820E+03 ;
2.0000E+00 1.6500E+00 1.1000E+00 1.4600E+00 6.6065E-01 7.0082E-01 3.0162E+00 7.8500E-01 6.8269E-07 8.0850E+01 2.3999E+00 -5.8502E-02 7.1753E-02 -5.8474E-02 -1.7811E+01 2.0065E+01 -1.7806E+01 2.6137E+03 2.8457E+03 2.6133E+03 ;
1.0000E+00 9.6000E-01 1.0200E+00 1.4000E+00 5.7109E-01 6.3334E-01 1.4756E+00 7.8500E-01 9.8668E-07 4.7040E+01 8.0245E-01 -3.4061E-02 4.1644E-02 -3.4043E-02 -1.1807E+01 1.3990E+01 -1.1802E+01 2.2956E+03 2.3688E+03 2.2954E+03 ;
5.0000E-01 4.5000E-01 9.7000E-01 1.3500E+00 5.1512E-01 5.7711E-01 3.7490E-01 7.8500E-01 1.1408E-06 2.2050E+01 1.7501E-01 -1.5947E-02 1.9492E-02 -1.5938E-02 -5.8069E+00 7.0523E+00 -5.8040E+00 2.1853E+03 2.1994E+03 2.1853E+03 ;
1.5000E+00 1.4000E+00 1.0600E+00 1.4200E+00 6.1587E-01 6.5583E-01 2.1356E+00 7.8500E-01 6.7142E-07 6.8600E+01 1.7207E+00 -4.9653E-02 6.0812E-02 -4.9628E-02 -1.5967E+01 1.8271E+01 -1.5961E+01 2.4746E+03 2.6486E+03 2.4743E+03 ;
2.5000E+00 1.8600E+00 1.1200E+00 1.4800E+00 6.8304E-01 7.2331E-01 3.4564E+00 7.8500E-01 6.1566E-07 9.1140E+01 3.0588E+00 -6.5950E-02 8.0990E-02 -6.5920E-02 -1.9125E+01 2.1344E+01 -1.9119E+01 2.7441E+03 3.0196E+03 2.7436E+03 ;
3.5000E+00 2.2900E+00 1.1900E+00 1.5500E+00 7.6141E-01 8.0203E-01 4.9975E+00 7.8500E-01 5.8724E-07 1.1221E+02 4.6593E+00 -8.1328E-02 9.9972E-02 -8.1290E-02 -2.1345E+01 2.3665E+01 -2.1340E+01 3.0320E+03 3.3617E+03 3.0314E+03 ;
4.5000E+00 3.0600E+00 1.3700E+00 1.7100E+00 9.6292E-01 9.8197E-01 8.7395E+00 7.8500E-01 5.7515E-07 1.4994E+02 8.3712E+00 -1.0908E-01 1.3392E-01 -1.0903E-01 -2.4678E+01 2.7427E+01 -2.4672E+01 3.5174E+03 3.8858E+03 3.5167E+03 ;
5.5000E+00 3.3500E+00 1.4500E+00 1.7600E+00 1.0525E+00 1.0382E+00 1.0170E+01 7.8500E-01 5.5841E-07 1.6415E+02 1.0051E+01 -1.1949E-01 1.4672E-01 -1.1944E-01 -2.5847E+01 2.8676E+01 -2.5840E+01 3.6789E+03 4.0715E+03 3.6781E+03 ;
6.5000E+00 4.0700E+00 1.6700E+00 1.9700E+00 1.2988E+00 1.2744E+00 1.4903E+01 7.8500E-01 5.5438E-07 1.9943E+02 1.4889E+01 -1.4531E-01 1.7857E-01 -1.4525E-01 -2.8488E+01 3.1428E+01 -2.8481E+01 4.0591E+03 4.5215E+03 4.0583E+03 ;
7.5000E+00 4.5600E+00 1.8400E+00 2.1200E+00 1.4891E+00 1.4431E+00 1.8424E+01 7.8500E-01 5.4601E-07 2.2344E+02 1.8726E+01 -1.6295E-01 2.0028E-01 -1.6288E-01 -3.0069E+01 3.3138E+01 -3.0062E+01 4.3125E+03 4.8095E+03 4.3116E+03 ;
6.5000E+00 4.0000E+00 1.7000E+00 2.0000E+00 1.3324E+00 1.3081E+00 1.5563E+01 7.8500E-01 5.9939E-07 1.9600E+02 1.4377E+01 -1.4280E-01 1.7547E-01 -1.4274E-01 -2.8249E+01 3.1176E+01 -2.8242E+01 4.0226E+03 4.4789E+03 4.0218E+03 ;
5.5000E+00 3.5100E+00 1.5200E+00 1.8400E+00 1.1308E+00 1.1282E+00 1.1821E+01 7.8500E-01 5.9126E-07 1.7199E+02 1.1044E+01 -1.2523E-01 1.5379E-01 -1.2517E-01 -2.6468E+01 2.9325E+01 -2.6461E+01 3.7650E+03 4.1732E+03 3.7643E+03 ;
4.5000E+00 3.1100E+00 1.4100E+00 1.7500E+00 1.0077E+00 1.0270E+00 9.6200E+00 7.8500E-01 6.1291E-07 1.5239E+02 8.6498E+00 -1.1088E-01 1.3613E-01 -1.1083E-01 -2.4883E+01 2.7650E+01 -2.4877E+01 3.5459E+03 3.9179E+03 3.5451E+03 ;
3.5000E+00 2.3100E+00 1.2200E+00 1.5600E+00 7.9499E-01 8.1328E-01 5.4373E+00 7.8500E-01 6.2791E-07 1.1319E+02 4.7420E+00 -8.2048E-02 1.0086E-01 -8.2010E-02 -2.1438E+01 2.3769E+01 -2.1432E+01 3.0456E+03 3.3766E+03 3.0450E+03 ;
2.5000E+00 1.8600E+00 1.1400E+00 1.4900E+00 7.0543E-01 7.3455E-01 3.7864E+00 7.8500E-01 6.7444E-07 9.1140E+01 3.0588E+00 -6.5950E-02 8.0990E-02 -6.5920E-02 -1.9125E+01 2.1344E+01 -1.9119E+01 2.7441E+03 3.0196E+03 2.7436E+03 ;
1.5000E+00 1.4000E+00 1.0700E+00 1.4400E+00 6.2707E-01 6.7832E-01 2.4660E+00 7.8500E-01 7.7532E-07 6.8600E+01 1.7207E+00 -4.9653E-02 6.0812E-02 -4.9628E-02 -1.5967E+01 1.8271E+01 -1.5961E+01 2.4746E+03 2.6486E+03 2.4743E+03 ;
5.0000E-01 4.5000E-01 9.8400E-01 1.3600E+00 5.3079E-01 5.8836E-01 6.3897E-01 7.8500E-01 1.9445E-06 2.2050E+01 1.7501E-01 -1.5947E-02 1.9492E-02 -1.5938E-02 -5.8069E+00 7.0523E+00 -5.8040E+00 2.1853E+03 2.1994E+03 2.1853E+03 ;
1.0000E+00 9.6000E-01 1.0100E+00 1.3700E+00 5.5990E-01 5.9960E-01 1.1666E+00 7.2000E-01 6.5623E-07 4.7040E+01 9.4671E-01 -3.7182E-02 4.4925E-02 -3.7222E-02 -1.2731E+01 1.4849E+01 -1.2743E+01 2.3240E+03 2.4076E+03 2.3244E+03 ;
2.0000E+00 1.6500E+00 1.1000E+00 1.4600E+00 6.6065E-01 7.0082E-01 3.1479E+00 7.2000E-01 5.9941E-07 8.0850E+01 2.8353E+00 -6.3932E-02 7.7500E-02 -6.3986E-02 -1.8792E+01 2.0881E+01 -1.8802E+01 2.7072E+03 2.9535E+03 2.7081E+03 ;
3.0000E+00 2.0600E+00 1.1700E+00 1.5200E+00 7.3902E-01 7.6829E-01 4.5786E+00 7.2000E-01 5.5933E-07 1.0094E+02 4.4447E+00 -7.9960E-02 9.7044E-02 -8.0022E-02 -2.1173E+01 2.3318E+01 -2.1181E+01 3.0053E+03 3.3118E+03 3.0064E+03 ;
4.0000E+00 2.5500E+00 1.2800E+00 1.6400E+00 8.6216E-01 9.0324E-01 7.1106E+00 7.2000E-01 5.6688E-07 1.2495E+02 6.8450E+00 -9.9293E-02 1.2040E-01 -9.9374E-02 -2.3544E+01 2.5998E+01 -2.3554E+01 3.3560E+03 3.6855E+03 3.3573E+03 ;
5.0000E+00 3.1900E+00 1.4700E+00 1.8000E+00 1.0749E+00 1.0832E+00 1.0962E+01 7.2000E-01 5.5846E-07 1.5631E+02 1.0764E+01 -1.2447E-01 1.5091E-01 -1.2457E-01 -2.6394E+01 2.9065E+01 -2.6405E+01 3.7527E+03 4.1317E+03 3.7541E+03 ;
6.0000E+00 3.7800E+00 1.6500E+00 1.9900E+00 1.2764E+00 1.2969E+00 1.5035E+01 7.2000E-01 5.4550E-07 1.8522E+02 1.5165E+01 -1.4764E-01 1.7912E-01 -1.4776E-01 -2.8714E+01 3.1474E+01 -2.8724E+01 4.0918E+03 4.5289E+03 4.0933E+03 ;
7.0000E+00 4.2200E+00 1.8300E+00 2.1600E+00 1.4779E+00 1.4880E+00 1.8888E+01 7.2000E-01 5.4982E-07 2.0678E+02 1.8939E+01 -1.6499E-01 2.0019E-01 -1.6512E-01 -3.0251E+01 3.3132E+01 -3.0262E+01 4.3402E+03 4.8082E+03 4.3419E+03 ;
6.0000E+00 3.8110E+00 1.6800E+00 2.0000E+00 1.3100E+00 1.3081E+00 1.5475E+01 7.2000E-01 5.5236E-07 1.8674E+02 1.5417E+01 -1.4886E-01 1.8060E-01 -1.4898E-01 -2.8827E+01 3.1593E+01 -2.8837E+01 4.1094E+03 4.5491E+03 4.1110E+03 ;
5.0000E+00 3.1700E+00 1.4800E+00 1.8000E+00 1.0861E+00 1.0832E+00 1.1072E+01 7.2000E-01 5.7119E-07 1.5533E+02 1.0628E+01 -1.2368E-01 1.4995E-01 -1.2378E-01 -2.6309E+01 2.8978E+01 -2.6320E+01 3.7410E+03 4.1180E+03 3.7424E+03 ;
4.0000E+00 2.5900E+00 1.3200E+00 1.6700E+00 9.0694E-01 9.3698E-01 7.8808E+00 7.2000E-01 6.0903E-07 1.2691E+02 7.0640E+00 -1.0087E-01 1.2231E-01 -1.0095E-01 -2.3730E+01 2.6205E+01 -2.3740E+01 3.3826E+03 3.7141E+03 3.3839E+03 ;
3.0000E+00 2.0700E+00 1.2000E+00 1.5600E+00 7.7260E-01 8.1328E-01 5.3494E+00 7.2000E-01 6.4719E-07 1.0143E+02 4.4885E+00 -8.0354E-02 9.7521E-02 -8.0416E-02 -2.1224E+01 2.3375E+01 -2.1233E+01 3.0127E+03 3.3200E+03 3.0139E+03 ;
2.0000E+00 1.6500E+00 1.1200E+00 1.4800E+00 6.8304E-01 7.2331E-01 3.5882E+00 7.2000E-01 6.8325E-07 8.0850E+01 2.8353E+00 -6.3932E-02 7.7500E-02 -6.3986E-02 -1.8792E+01 2.0881E+01 -1.8802E+01 2.7072E+03 2.9535E+03 2.7081E+03 ;
1.0000E+00 9.6000E-01 1.0300E+00 1.4000E+00 5.8229E-01 6.3334E-01 1.7172E+00 7.2000E-01 9.6595E-07 4.7040E+01 9.4671E-01 -3.7182E-02 4.4925E-02 -3.7222E-02 -1.2731E+01 1.4849E+01 -1.2743E+01 2.3240E+03 2.4076E+03 2.3244E+03 ;
1.5000E+00 1.4000E+00 1.0700E+00 1.4400E+00 6.2707E-01 6.7832E-01 2.5978E+00 7.2000E-01 6.8710E-07 6.8600E+01 2.0322E+00 -5.4232E-02 6.5652E-02 -5.4282E-02 -1.6968E+01 1.9111E+01 -1.6978E+01 2.5434E+03 2.7337E+03 2.5442E+03 ;
2.5000E+00 1.8600E+00 1.1500E+00 1.5000E+00 7.1663E-01 7.4580E-01 4.1383E+00 7.2000E-01 6.2011E-07 9.1140E+01 3.6142E+00 -7.2115E-02 8.7503E-02 -7.2173E-02 -2.0086E+01 2.2167E+01 -2.0095E+01 2.8571E+03 3.1413E+03 2.8581E+03 ;
3.5000E+00 2.2900E+00 1.2300E+00 1.5800E+00 8.0619E-01 8.3577E-01 5.8995E+00 7.2000E-01 5.8319E-07 1.1221E+02 5.5066E+00 -8.9031E-02 1.0801E-01 -8.9103E-02 -2.2314E+01 2.4604E+01 -2.2322E+01 3.1751E+03 3.4934E+03 3.1764E+03 ;
4.5000E+00 3.0600E+00 1.4300E+00 1.7600E+00 1.0301E+00 1.0382E+00 1.0082E+01 7.2000E-01 5.5816E-07 1.4994E+02 9.8963E+00 -1.1936E-01 1.4470E-01 -1.1946E-01 -2.5840E+01 2.8487E+01 -2.5851E+01 3.6760E+03 4.0422E+03 3.6774E+03 ;
5.5000E+00 3.3500E+00 1.5100E+00 1.8400E+00 1.1196E+00 1.1282E+00 1.1843E+01 7.2000E-01 5.4706E-07 1.6415E+02 1.1883E+01 -1.3075E-01 1.5855E-01 -1.3085E-01 -2.7055E+01 2.9749E+01 -2.7066E+01 3.8456E+03 4.2411E+03 3.8471E+03 ;
6.5000E+00 4.0700E+00 1.7800E+00 2.1000E+00 1.4219E+00 1.4206E+00 1.7677E+01 7.2000E-01 5.5319E-07 1.9943E+02 1.7606E+01 -1.5907E-01 1.9300E-01 -1.5919E-01 -2.9742E+01 3.2575E+01 -2.9753E+01 4.2561E+03 4.7149E+03 4.2577E+03 ;
7.5000E+00 4.5600E+00 1.9800E+00 2.2900E+00 1.6458E+00 1.6342E+00 2.1969E+01 7.2000E-01 5.4771E-07 2.2344E+02 2.2143E+01 -1.7843E-01 2.1648E-01 -1.7857E-01 -3.1361E+01 3.4364E+01 -3.1373E+01 4.5276E+03 5.0130E+03 4.5294E+03 ;
6.5000E+00 4.0000E+00 1.8000E+00 2.1200E+00 1.4443E+00 1.4431E+00 1.8117E+01 7.2000E-01 5.8699E-07 1.9600E+02 1.7000E+01 -1.5631E-01 1.8965E-01 -1.5643E-01 -2.9499E+01 3.2312E+01 -2.9510E+01 4.2166E+03 4.6707E+03 4.2182E+03 ;
5.5000E+00 3.5100E+00 1.6100E+00 1.9200E+00 1.2316E+00 1.2181E+00 1.3824E+01 7.2000E-01 5.8167E-07 1.7199E+02 1.3058E+01 -1.3703E-01 1.6620E-01 -1.3713E-01 -2.7693E+01 3.0408E+01 -2.7704E+01 3.9375E+03 4.3495E+03 3.9390E+03 ;
4.5000E+00 3.1100E+00 1.4700E+00 1.8000E+00 1.0749E+00 1.0832E+00 1.0962E+01 7.2000E-01 5.8756E-07 1.5239E+02 1.0226E+01 -1.2133E-01 1.4709E-01 -1.2143E-01 -2.6055E+01 2.8712E+01 -2.6065E+01 3.7056E+03 4.0767E+03 3.7071E+03 ;
3.5000E+00 2.3100E+00 1.2500E+00 1.6000E+00 8.2858E-01 8.5826E-01 6.3398E+00 7.2000E-01 6.1591E-07 1.1319E+02 5.6044E+00 -8.9821E-02 1.0897E-01 -8.9893E-02 -2.2409E+01 2.4714E+01 -2.2418E+01 3.1896E+03 3.5086E+03 3.1908E+03 ;
2.5000E+00 1.8600E+00 1.1700E+00 1.5200E+00 7.3902E-01 7.6829E-01 4.5786E+00 7.2000E-01 6.8608E-07 9.1140E+01 3.6142E+00 -7.2115E-02 8.7503E-02 -7.2173E-02 -2.0086E+01 2.2167E+01 -2.0095E+01 2.8571E+03 3.1413E+03 2.8581E+03 ;
1.5000E+00 1.4000E+00 1.0900E+00 1.4400E+00 6.4946E-01 6.7832E-01 2.8175E+00 7.2000E-01 7.4519E-07 6.8600E+01 2.0322E+00 -5.4232E-02 6.5652E-02 -5.4282E-02 -1.6968E+01 1.9111E+01 -1.6978E+01 2.5434E+03 2.7337E+03 2.5442E+03 ;
1.0000E+00 9.6000E-01 1.0300E+00 1.4000E+00 5.8229E-01 6.3334E-01 1.7172E+00 6.7000E-01 8.3645E-07 4.7040E+01 1.0865E+00 -4.0081E-02 4.7903E-02 -4.0057E-02 -1.3552E+01 1.5581E+01 -1.3546E+01 2.3534E+03 2.4466E+03 2.3532E+03 ;
2.0000E+00 1.6500E+00 1.1300E+00 1.4800E+00 6.9424E-01 7.2331E-01 3.6981E+00 6.7000E-01 6.0975E-07 8.0850E+01 3.2575E+00 -6.8974E-02 8.2719E-02 -6.8933E-02 -1.9615E+01 2.1568E+01 -1.9608E+01 2.7982E+03 3.0520E+03 2.7975E+03 ;
3.0000E+00 2.0600E+00 1.2100E+00 1.5600E+00 7.8380E-01 8.1328E-01 5.4592E+00 6.7000E-01 5.7749E-07 1.0094E+02 5.1078E+00 -8.6347E-02 1.0359E-01 -8.6296E-02 -2.1989E+01 2.4092E+01 -2.1982E+01 3.1249E+03 3.4218E+03 3.1240E+03 ;
4.0000E+00 2.5500E+00 1.3300E+00 1.6800E+00 9.1814E-01 9.4823E-01 8.1010E+00 6.7000E-01 5.5925E-07 1.2495E+02 7.8677E+00 -1.0722E-01 1.2852E-01 -1.0715E-01 -2.4475E+01 2.6869E+01 -2.4467E+01 3.4860E+03 3.8063E+03 3.4851E+03 ;
5.0000E+00 3.1900E+00 1.5500E+00 1.8800E+00 1.1644E+00 1.1731E+00 1.2724E+01 6.7000E-01 5.6128E-07 1.5631E+02 1.2375E+01 -1.3437E-01 1.6112E-01 -1.3429E-01 -2.7431E+01 2.9973E+01 -2.7422E+01 3.8980E+03 4.2776E+03 3.8970E+03 ;
6.0000E+00 3.7800E+00 1.7600E+00 2.0800E+00 1.3995E+00 1.3981E+00 1.7236E+01 6.7000E-01 5.4151E-07 1.8522E+02 1.7436E+01 -1.5944E-01 1.9126E-01 -1.5935E-01 -2.9780E+01 3.2439E+01 -2.9771E+01 4.2605E+03 4.6919E+03 4.2593E+03 ;
7.0000E+00 4.1800E+00 1.9500E+00 2.2800E+00 1.6122E+00 1.6230E+00 2.1529E+01 6.7000E-01 5.5313E-07 2.0482E+02 2.1361E+01 -1.7650E-01 2.1172E-01 -1.7640E-01 -3.1212E+01 3.4009E+01 -3.1202E+01 4.5001E+03 4.9540E+03 4.4988E+03 ;
6.0000E+00 3.7500E+00 1.7900E+00 2.1200E+00 1.4331E+00 1.4431E+00 1.8007E+01 6.7000E-01 5.7482E-07 1.8375E+02 1.7158E+01 -1.5816E-01 1.8973E-01 -1.5807E-01 -2.9668E+01 3.2319E+01 -2.9659E+01 4.2422E+03 4.6716E+03 4.2411E+03 ;
5.0000E+00 3.1700E+00 1.5700E+00 1.9100E+00 1.1868E+00 1.2069E+00 1.3274E+01 6.7000E-01 5.9298E-07 1.5533E+02 1.2219E+01 -1.3352E-01 1.6010E-01 -1.3344E-01 -2.7345E+01 2.9885E+01 -2.7336E+01 3.8856E+03 4.2631E+03 3.8846E+03 ;
4.0000E+00 2.5600E+00 1.3700E+00 1.7200E+00 9.6292E-01 9.9321E-01 8.9816E+00 6.7000E-01 6.1521E-07 1.2544E+02 7.9303E+00 -1.0764E-01 1.2903E-01 -1.0758E-01 -2.4524E+01 2.6922E+01 -2.4516E+01 3.4929E+03 3.8138E+03 3.4919E+03 ;
3.0000E+00 2.0700E+00 1.2400E+00 1.6000E+00 8.1738E-01 8.5826E-01 6.2300E+00 6.7000E-01 6.5267E-07 1.0143E+02 5.1581E+00 -8.6773E-02 1.0410E-01 -8.6722E-02 -2.2041E+01 2.4151E+01 -2.2034E+01 3.1328E+03 3.4301E+03 3.1319E+03 ;
2.0000E+00 1.6500E+00 1.1500E+00 1.5200E+00 7.1663E-01 7.6829E-01 4.3590E+00 6.7000E-01 7.1873E-07 8.0850E+01 3.2575E+00 -6.8974E-02 8.2719E-02 -6.8933E-02 -1.9615E+01 2.1568E+01 -1.9608E+01 2.7982E+03 3.0520E+03 2.7975E+03 ;
1.0000E+00 9.6000E-01 1.0500E+00 1.4000E+00 6.0468E-01 6.3334E-01 1.9369E+00 6.7000E-01 9.4343E-07 4.7040E+01 1.0865E+00 -4.0081E-02 4.7903E-02 -4.0057E-02 -1.3552E+01 1.5581E+01 -1.3546E+01 2.3534E+03 2.4466E+03 2.3532E+03 ;
5.0000E-01 4.5000E-01 9.9200E-01 1.3600E+00 5.3974E-01 5.8836E-01 8.5862E-01 6.7000E-01 1.9034E-06 2.2050E+01 2.3623E-01 -1.8750E-02 2.2399E-02 -1.8739E-02 -6.7929E+00 8.0520E+00 -6.7889E+00 2.1965E+03 2.2137E+03 2.1965E+03 ;
1.5000E+00 1.4000E+00 1.0900E+00 1.4400E+00 6.4946E-01 6.7832E-01 2.8175E+00 6.7000E-01 6.4529E-07 6.8600E+01 2.3342E+00 -5.8484E-02 7.0045E-02 -5.8449E-02 -1.7815E+01 1.9809E+01 -1.7808E+01 2.6124E+03 2.8139E+03 2.6119E+03 ;
2.5000E+00 1.8600E+00 1.1800E+00 1.5200E+00 7.5021E-01 7.6829E-01 4.6885E+00 6.7000E-01 6.0835E-07 9.1140E+01 4.1530E+00 -7.7842E-02 9.3409E-02 -7.7797E-02 -2.0895E+01 2.2883E+01 -2.0888E+01 2.9645E+03 3.2483E+03 2.9638E+03 ;
3.5000E+00 2.2900E+00 1.2700E+00 1.6200E+00 8.5097E-01 8.8075E-01 6.7801E+00 6.7000E-01 5.8038E-07 1.1221E+02 6.3288E+00 -9.6150E-02 1.1530E-01 -9.6092E-02 -2.3175E+01 2.5433E+01 -2.3167E+01 3.3015E+03 3.6076E+03 3.3006E+03 ;
4.5000E+00 3.0400E+00 1.5000E+00 1.8400E+00 1.1085E+00 1.1282E+00 1.1733E+01 6.7000E-01 5.6992E-07 1.4896E+02 1.1227E+01 -1.2801E-01 1.5347E-01 -1.2794E-01 -2.6775E+01 2.9298E+01 -2.6766E+01 3.8046E+03 4.1684E+03 3.8036E+03 ;
5.5000E+00 3.3500E+00 1.6100E+00 1.9400E+00 1.2316E+00 1.2406E+00 1.4044E+01 6.7000E-01 5.6178E-07 1.6415E+02 1.3661E+01 -1.4116E-01 1.6929E-01 -1.4107E-01 -2.8104E+01 3.0667E+01 -2.8095E+01 3.9969E+03 4.3927E+03 3.9958E+03 ;
6.5000E+00 4.0700E+00 1.8900E+00 2.2300E+00 1.5451E+00 1.5668E+00 2.0319E+01 6.7000E-01 5.5063E-07 1.9943E+02 2.0242E+01 -1.7181E-01 2.0609E-01 -1.7171E-01 -3.0827E+01 3.3584E+01 -3.0818E+01 4.4350E+03 4.8834E+03 4.4337E+03 ;
7.5000E+00 4.5600E+00 2.1200E+00 2.4400E+00 1.8025E+00 1.8029E+00 2.5162E+01 6.7000E-01 5.4320E-07 2.2344E+02 2.5460E+01 -1.9274E-01 2.3117E-01 -1.9262E-01 -3.2502E+01 3.5443E+01 -3.2492E+01 4.7189E+03 5.1903E+03 4.7175E+03 ;
6.5000E+00 4.0400E+00 1.9100E+00 2.2400E+00 1.5674E+00 1.5780E+00 2.0649E+01 6.7000E-01 5.6791E-07 1.9796E+02 1.9942E+01 -1.7053E-01 2.0456E-01 -1.7043E-01 -3.0721E+01 3.3467E+01 -3.0712E+01 4.4171E+03 4.8640E+03 4.4159E+03 ;
5.5000E+00 3.4900E+00 1.6900E+00 2.0200E+00 1.3212E+00 1.3306E+00 1.5806E+01 6.7000E-01 5.8252E-07 1.7101E+02 1.4840E+01 -1.4710E-01 1.7644E-01 -1.4701E-01 -2.8669E+01 3.1257E+01 -2.8660E+01 4.0831E+03 4.4920E+03 4.0820E+03 ;
4.5000E+00 3.1100E+00 1.5500E+00 1.8800E+00 1.1644E+00 1.1731E+00 1.2724E+01 6.7000E-01 5.9052E-07 1.5239E+02 1.1756E+01 -1.3098E-01 1.5704E-01 -1.3090E-01 -2.7084E+01 2.9616E+01 -2.7075E+01 3.8483E+03 4.2195E+03 3.8473E+03 ;
3.5000E+00 2.3000E+00 1.3000E+00 1.6400E+00 8.8455E-01 9.0324E-01 7.3302E+00 6.7000E-01 6.2203E-07 1.1270E+02 6.3848E+00 -9.6576E-02 1.1581E-01 -9.6518E-02 -2.3226E+01 2.5490E+01 -2.3218E+01 3.3089E+03 3.6154E+03 3.3080E+03 ;
2.5000E+00 1.8600E+00 1.2000E+00 1.5600E+00 7.7260E-01 8.1328E-01 5.3494E+00 6.7000E-01 6.9411E-07 9.1140E+01 4.1530E+00 -7.7842E-02 9.3409E-02 -7.7797E-02 -2.0895E+01 2.2883E+01 -2.0888E+01 2.9645E+03 3.2483E+03 2.9638E+03 ;
1.5000E+00 1.4000E+00 1.1100E+00 1.4800E+00 6.7185E-01 7.2331E-01 3.4784E+00 6.7000E-01 7.9666E-07 6.8600E+01 2.3342E+00 -5.8484E-02 7.0045E-02 -5.8449E-02 -1.7815E+01 1.9809E+01 -1.7808E+01 2.6124E+03 2.8139E+03 2.6119E+03 ;
5.0000E-01 4.5000E-01 9.9200E-01 1.3600E+00 5.3974E-01 5.8836E-01 8.5862E-01 6.7000E-01 1.9034E-06 2.2050E+01 2.3623E-01 -1.8750E-02 2.2399E-02 -1.8739E-02 -6.7929E+00 8.0520E+00 -6.7889E+00 2.1965E+03 2.2137E+03 2.1965E+03 ;
1.0000E+00 9.6000E-01 1.0300E+00 1.4400E+00 5.8229E-01 6.7832E-01 2.1585E+00 5.3000E-01 6.5791E-07 4.7040E+01 1.7034E+00 -5.0771E-02 5.9055E-02 -5.0766E-02 -1.6230E+01 1.7947E+01 -1.6229E+01 2.4893E+03 2.6185E+03 2.4892E+03 ;
2.0000E+00 1.6500E+00 1.1900E+00 1.5900E+00 7.6141E-01 8.4701E-01 5.5705E+00 5.3000E-01 5.7475E-07 8.0850E+01 5.1254E+00 -8.7814E-02 1.0232E-01 -8.7804E-02 -2.2179E+01 2.3944E+01 -2.2179E+01 3.1507E+03 3.4006E+03 3.1503E+03 ;
3.0000E+00 2.0600E+00 1.3100E+00 1.7100E+00 8.9575E-01 9.8197E-01 8.2123E+00 5.3000E-01 5.4360E-07 1.0094E+02 8.0426E+00 -1.1005E-01 1.2814E-01 -1.1004E-01 -2.4811E+01 2.6831E+01 -2.4810E+01 3.5296E+03 3.8005E+03 3.5293E+03 ;
4.0000E+00 2.5500E+00 1.4900E+00 1.8800E+00 1.0973E+00 1.1731E+00 1.2065E+01 5.3000E-01 5.2118E-07 1.2495E+02 1.2397E+01 -1.3655E-01 1.5903E-01 -1.3654E-01 -2.7663E+01 2.9793E+01 -2.7662E+01 3.9281E+03 4.2476E+03 3.9278E+03 ;
5.0000E+00 3.2000E+00 1.8200E+00 2.2000E+00 1.4667E+00 1.5330E+00 1.9219E+01 5.3000E-01 5.2721E-07 1.5680E+02 1.9633E+01 -1.7181E-01 2.0015E-01 -1.7179E-01 -3.0842E+01 3.3131E+01 -3.0841E+01 4.4330E+03 4.8073E+03 4.4326E+03 ;
6.0000E+00 3.7500E+00 2.1600E+00 2.5200E+00 1.8473E+00 1.8929E+00 2.6483E+01 5.3000E-01 5.2901E-07 1.8375E+02 2.7056E+01 -2.0176E-01 2.3500E-01 -2.0173E-01 -3.3215E+01 3.5721E+01 -3.3214E+01 4.8338E+03 5.2351E+03 4.8333E+03 ;
7.0000E+00 4.1800E+00 2.4500E+00 2.8000E+00 2.1720E+00 2.2078E+00 3.2757E+01 5.3000E-01 5.2663E-07 2.0482E+02 3.3688E+01 -2.2520E-01 2.6228E-01 -2.2517E-01 -3.4968E+01 3.7648E+01 -3.4967E+01 5.1249E+03 5.5439E+03 5.1243E+03 ;
6.0000E+00 3.7700E+00 2.2000E+00 2.5700E+00 1.8921E+00 1.9491E+00 2.7474E+01 5.3000E-01 5.4300E-07 1.8473E+02 2.7348E+01 -2.0285E-01 2.3626E-01 -2.0282E-01 -3.3298E+01 3.5812E+01 -3.3297E+01 4.8477E+03 5.2499E+03 4.8472E+03 ;
5.0000E+00 3.1700E+00 1.8700E+00 2.2400E+00 1.5227E+00 1.5780E+00 2.0210E+01 5.3000E-01 5.6492E-07 1.5533E+02 1.9262E+01 -1.7018E-01 1.9825E-01 -1.7016E-01 -3.0707E+01 3.2985E+01 -3.0706E+01 4.4103E+03 4.7828E+03 4.4098E+03 ;
4.0000E+00 2.5600E+00 1.5700E+00 1.9600E+00 1.1868E+00 1.2631E+00 1.3826E+01 5.3000E-01 5.9260E-07 1.2544E+02 1.2496E+01 -1.3709E-01 1.5966E-01 -1.3708E-01 -2.7717E+01 2.9848E+01 -2.7716E+01 3.9360E+03 4.2566E+03 3.9357E+03 ;
3.0000E+00 2.0700E+00 1.3700E+00 1.7600E+00 9.6292E-01 1.0382E+00 9.4229E+00 5.3000E-01 6.1772E-07 1.0143E+02 8.1220E+00 -1.1059E-01 1.2877E-01 -1.1058E-01 -2.4873E+01 2.6897E+01 -2.4872E+01 3.5382E+03 3.8098E+03 3.5379E+03 ;
2.0000E+00 1.6500E+00 1.2300E+00 1.6100E+00 8.0619E-01 8.6951E-01 6.2305E+00 5.3000E-01 6.4284E-07 8.0850E+01 5.1254E+00 -8.7814E-02 1.0232E-01 -8.7804E-02 -2.2179E+01 2.3944E+01 -2.2179E+01 3.1507E+03 3.4006E+03 3.1503E+03 ;
1.0000E+00 9.6000E-01 1.0600E+00 1.4400E+00 6.1587E-01 6.7832E-01 2.4880E+00 5.3000E-01 7.5833E-07 4.7040E+01 1.7034E+00 -5.0771E-02 5.9055E-02 -5.0766E-02 -1.6230E+01 1.7947E+01 -1.6229E+01 2.4893E+03 2.6185E+03 2.4892E+03 ;
5.0000E-01 4.5000E-01 9.8400E-01 1.3700E+00 5.3079E-01 5.9960E-01 8.8109E-01 5.3000E-01 1.2222E-06 2.2050E+01 3.6801E-01 -2.3701E-02 2.7540E-02 -2.3698E-02 -8.4912E+00 9.7652E+00 -8.4903E+00 2.2212E+03 2.2442E+03 2.2212E+03 ;
1.5000E+00 1.4000E+00 1.1400E+00 1.5200E+00 7.0543E-01 7.6829E-01 4.2492E+00 5.3000E-01 6.0898E-07 6.8600E+01 3.6702E+00 -7.4297E-02 8.6578E-02 -7.4290E-02 -2.0414E+01 2.2054E+01 -2.0413E+01 2.8963E+03 3.1240E+03 2.8961E+03 ;
2.5000E+00 1.8600E+00 1.2600E+00 1.6400E+00 8.3977E-01 9.0324E-01 6.8909E+00 5.3000E-01 5.5950E-07 9.1140E+01 6.5371E+00 -9.9207E-02 1.1555E-01 -9.9195E-02 -2.3549E+01 2.5462E+01 -2.3548E+01 3.3524E+03 3.6113E+03 3.3521E+03 ;
3.5000E+00 2.2900E+00 1.4100E+00 1.8000E+00 1.0077E+00 1.0832E+00 1.0303E+01 5.3000E-01 5.5190E-07 1.1221E+02 9.9687E+00 -1.2249E-01 1.4262E-01 -1.2248E-01 -2.6197E+01 2.8291E+01 -2.6197E+01 3.7209E+03 4.0118E+03 3.7206E+03 ;
4.5000E+00 3.0400E+00 1.7600E+00 2.5000E+00 1.3995E+00 1.8704E+00 2.1870E+01 5.3000E-01 6.6474E-07 1.4896E+02 1.7697E+01 -1.6311E-01 1.9002E-01 -1.6309E-01 -3.0111E+01 3.2343E+01 -3.0110E+01 4.3107E+03 4.6752E+03 4.3103E+03 ;
5.5000E+00 3.3500E+00 1.9100E+00 2.3000E+00 1.5674E+00 1.6455E+00 2.1311E+01 5.3000E-01 5.3341E-07 1.6415E+02 2.1539E+01 -1.7997E-01 2.0965E-01 -1.7995E-01 -3.1506E+01 3.3855E+01 -3.1506E+01 4.5457E+03 4.9279E+03 4.5452E+03 ;
6.5000E+00 4.0700E+00 2.3700E+00 2.7300E+00 2.0824E+00 2.1291E+00 3.1107E+01 5.3000E-01 5.2749E-07 1.9943E+02 3.1922E+01 -2.1920E-01 2.5530E-01 -2.1917E-01 -3.4527E+01 3.7161E+01 -3.4526E+01 5.0521E+03 5.4670E+03 5.0515E+03 ;
7.5000E+00 4.5600E+00 2.7200E+00 3.0800E+00 2.4742E+00 2.5227E+00 3.8812E+01 5.3000E-01 5.2430E-07 2.2344E+02 4.0155E+01 -2.4594E-01 2.8642E-01 -2.4591E-01 -3.6458E+01 3.9309E+01 -3.6457E+01 5.3682E+03 5.7982E+03 5.3676E+03 ;
6.5000E+00 4.0400E+00 2.4100E+00 2.7600E+00 2.1272E+00 2.1628E+00 3.1877E+01 5.3000E-01 5.4861E-07 1.9796E+02 3.1449E+01 -2.1756E-01 2.5339E-01 -2.1754E-01 -3.4405E+01 3.7027E+01 -3.4405E+01 5.0320E+03 5.4458E+03 5.0315E+03 ;
5.5000E+00 3.4900E+00 2.0700E+00 2.4400E+00 1.7466E+00 1.8029E+00 2.4612E+01 5.3000E-01 5.6762E-07 1.7101E+02 2.3398E+01 -1.8760E-01 2.1852E-01 -1.8758E-01 -3.2114E+01 3.4518E+01 -3.2113E+01 4.6486E+03 5.0377E+03 4.6481E+03 ;
4.5000E+00 3.1100E+00 1.8500E+00 2.2400E+00 1.5003E+00 1.5780E+00 1.9990E+01 5.3000E-01 5.8055E-07 1.5239E+02 1.8532E+01 -1.6692E-01 1.9445E-01 -1.6690E-01 -3.0434E+01 3.2690E+01 -3.0433E+01 4.3645E+03 4.7335E+03 4.3640E+03 ;
3.5000E+00 2.3000E+00 1.4700E+00 1.8400E+00 1.0749E+00 1.1282E+00 1.1404E+01 5.3000E-01 6.0554E-07 1.1270E+02 1.0057E+01 -1.2304E-01 1.4326E-01 -1.2302E-01 -2.6256E+01 2.8351E+01 -2.6255E+01 3.7290E+03 4.0210E+03 3.7287E+03 ;
2.5000E+00 1.8600E+00 1.3000E+00 1.6800E+00 8.8455E-01 9.4823E-01 7.7715E+00 5.3000E-01 6.3100E-07 9.1140E+01 6.5371E+00 -9.9207E-02 1.1555E-01 -9.9195E-02 -2.3549E+01 2.5462E+01 -2.3548E+01 3.3524E+03 3.6113E+03 3.3521E+03 ;
1.5000E+00 1.4000E+00 1.1500E+00 1.5300E+00 7.1663E-01 7.7954E-01 4.4693E+00 5.3000E-01 6.4053E-07 6.8600E+01 3.6702E+00 -7.4297E-02 8.6578E-02 -7.4290E-02 -2.0414E+01 2.2054E+01 -2.0413E+01 2.8963E+03 3.1240E+03 2.8961E+03 ;
5.0000E-01 4.5000E-01 9.8700E-01 1.3900E+00 5.3415E-01 6.2209E-01 1.1347E+00 5.3000E-01 1.5740E-06 2.2050E+01 3.6801E-01 -2.3701E-02 2.7540E-02 -2.3698E-02 -8.4912E+00 9.7652E+00 -8.4903E+00 2.2212E+03 2.2442E+03 2.2212E+03 ;
1.0000E+00 9.6000E-01 1.0300E+00 1.4000E+00 5.8229E-01 6.3334E-01 1.8710E+00 5.8000E-01 6.8294E-07 4.7040E+01 1.4327E+00 -4.6394E-02 5.4476E-02 -4.6419E-02 -1.5203E+01 1.7042E+01 -1.5210E+01 2.4283E+03 2.5438E+03 2.4286E+03 ;
2.0000E+00 1.6500E+00 1.1500E+00 1.5500E+00 7.1663E-01 8.0203E-01 4.8437E+00 5.8000E-01 5.9850E-07 8.0850E+01 4.3052E+00 -8.0039E-02 9.4278E-02 -8.0069E-02 -2.1194E+01 2.2989E+01 -2.1198E+01 3.0052E+03 3.2635E+03 3.0057E+03 ;
3.0000E+00 2.0600E+00 1.2600E+00 1.6400E+00 8.3977E-01 9.0324E-01 7.0447E+00 5.8000E-01 5.5845E-07 1.0094E+02 6.7535E+00 -1.0031E-01 1.1807E-01 -1.0035E-01 -2.3676E+01 2.5742E+01 -2.3681E+01 3.3715E+03 3.6499E+03 3.3721E+03 ;
4.0000E+00 2.5500E+00 1.4100E+00 1.8000E+00 1.0077E+00 1.0832E+00 1.0457E+01 5.8000E-01 5.4099E-07 1.2495E+02 1.0407E+01 -1.2449E-01 1.4649E-01 -1.2454E-01 -2.6409E+01 2.8657E+01 -2.6415E+01 3.7513E+03 4.0679E+03 3.7519E+03 ;
5.0000E+00 3.2000E+00 1.7000E+00 2.0800E+00 1.3324E+00 1.3981E+00 1.6731E+01 5.8000E-01 5.4964E-07 1.5680E+02 1.6478E+01 -1.5654E-01 1.8433E-01 -1.5660E-01 -2.9535E+01 3.1892E+01 -2.9541E+01 4.2178E+03 4.5993E+03 4.2184E+03 ;
6.0000E+00 3.7500E+00 1.9700E+00 2.3600E+00 1.6346E+00 1.7130E+00 2.2785E+01 5.8000E-01 5.4507E-07 1.8375E+02 2.2706E+01 -1.8380E-01 2.1640E-01 -1.8387E-01 -3.1808E+01 3.4360E+01 -3.1814E+01 4.5983E+03 5.0119E+03 4.5990E+03 ;
7.0000E+00 4.1800E+00 2.2100E+00 2.6000E+00 1.9033E+00 1.9829E+00 2.8069E+01 5.8000E-01 5.4042E-07 2.0482E+02 2.8272E+01 -2.0515E-01 2.4151E-01 -2.0522E-01 -3.3468E+01 3.6187E+01 -3.3475E+01 4.8777E+03 5.3110E+03 4.8784E+03 ;
6.0000E+00 3.7700E+00 2.0100E+00 2.4000E+00 1.6794E+00 1.7579E+00 2.3666E+01 5.8000E-01 5.6014E-07 1.8473E+02 2.2952E+01 -1.8479E-01 2.1757E-01 -1.8486E-01 -3.1887E+01 3.4447E+01 -3.1893E+01 4.6117E+03 5.0262E+03 4.6124E+03 ;
5.0000E+00 3.1600E+00 1.7300E+00 2.1200E+00 1.3659E+00 1.4431E+00 1.7502E+01 5.8000E-01 5.8961E-07 1.5484E+02 1.6065E+01 -1.5457E-01 1.8200E-01 -1.5462E-01 -2.9359E+01 3.1706E+01 -2.9365E+01 4.1895E+03 4.5678E+03 4.1901E+03 ;
4.0000E+00 2.5600E+00 1.4700E+00 1.8600E+00 1.0749E+00 1.1507E+00 1.1778E+01 5.8000E-01 6.0458E-07 1.2544E+02 1.0490E+01 -1.2499E-01 1.4707E-01 -1.2503E-01 -2.6462E+01 2.8712E+01 -2.6468E+01 3.7586E+03 4.0763E+03 3.7592E+03 ;
3.0000E+00 2.0700E+00 1.3100E+00 1.6800E+00 8.9575E-01 9.4823E-01 8.0351E+00 5.8000E-01 6.3082E-07 1.0143E+02 6.8201E+00 -1.0081E-01 1.1865E-01 -1.0084E-01 -2.3734E+01 2.5806E+01 -2.3740E+01 3.3798E+03 3.6587E+03 3.3804E+03 ;
2.0000E+00 1.6500E+00 1.1900E+00 1.5800E+00 7.6141E-01 8.3577E-01 5.6140E+00 5.8000E-01 6.9368E-07 8.0850E+01 4.3052E+00 -8.0039E-02 9.4278E-02 -8.0069E-02 -2.1194E+01 2.2989E+01 -2.1198E+01 3.0052E+03 3.2635E+03 3.0057E+03 ;
1.0000E+00 9.6000E-01 1.0500E+00 1.4400E+00 6.0468E-01 6.7832E-01 2.5319E+00 5.8000E-01 9.2420E-07 4.7040E+01 1.4327E+00 -4.6394E-02 5.4476E-02 -4.6419E-02 -1.5203E+01 1.7042E+01 -1.5210E+01 2.4283E+03 2.5438E+03 2.4286E+03 ;
5.0000E-01 4.5000E-01 9.7800E-01 1.3600E+00 5.2407E-01 5.8836E-01 8.5862E-01 5.8000E-01 1.4264E-06 2.2050E+01 3.1037E-01 -2.1687E-02 2.5434E-02 -2.1702E-02 -7.8077E+00 9.0727E+00 -7.8128E+00 2.2104E+03 2.2308E+03 2.2105E+03 ;
1.5000E+00 1.4000E+00 1.1100E+00 1.5200E+00 6.7185E-01 7.6829E-01 4.0735E+00 5.8000E-01 6.9914E-07 6.8600E+01 3.0836E+00 -6.7782E-02 7.9782E-02 -6.7810E-02 -1.9434E+01 2.1188E+01 -1.9439E+01 2.7755E+03 2.9965E+03 2.7760E+03 ;
2.5000E+00 1.8600E+00 1.2100E+00 1.6000E+00 7.8380E-01 8.5826E-01 6.0543E+00 5.8000E-01 5.8870E-07 9.1140E+01 5.4900E+00 -9.0416E-02 1.0647E-01 -9.0450E-02 -2.2493E+01 2.4427E+01 -2.2498E+01 3.1988E+03 3.4684E+03 3.1993E+03 ;
3.5000E+00 2.2900E+00 1.3500E+00 1.7200E+00 9.4053E-01 9.9321E-01 8.9157E+00 5.8000E-01 5.7192E-07 1.1221E+02 8.3697E+00 -1.1167E-01 1.3140E-01 -1.1172E-01 -2.4992E+01 2.7170E+01 -2.4998E+01 3.5557E+03 3.8486E+03 3.5563E+03 ;
4.5000E+00 3.0400E+00 1.6500E+00 2.0400E+00 1.2764E+00 1.3531E+00 1.5741E+01 5.8000E-01 5.7297E-07 1.4896E+02 1.4854E+01 -1.4864E-01 1.7500E-01 -1.4869E-01 -2.8820E+01 3.1141E+01 -2.8826E+01 4.1041E+03 4.4721E+03 4.1048E+03 ;
5.5000E+00 3.3500E+00 1.7800E+00 2.1600E+00 1.4219E+00 1.4880E+00 1.8492E+01 5.8000E-01 5.5432E-07 1.6415E+02 1.8078E+01 -1.6397E-01 1.9307E-01 -1.6402E-01 -3.0179E+01 3.2582E+01 -3.0185E+01 4.3235E+03 4.7155E+03 4.3241E+03 ;
6.5000E+00 4.0700E+00 2.1600E+00 2.5300E+00 1.8473E+00 1.9041E+00 2.6748E+01 5.8000E-01 5.4319E-07 1.9943E+02 2.6790E+01 -1.9968E-01 2.3509E-01 -1.9975E-01 -3.3051E+01 3.5727E+01 -3.3057E+01 4.8078E+03 5.2362E+03 4.8086E+03 ;
7.5000E+00 4.5600E+00 2.4600E+00 2.8200E+00 2.1832E+00 2.2303E+00 3.3242E+01 5.8000E-01 5.3778E-07 2.2344E+02 3.3699E+01 -2.2403E-01 2.6372E-01 -2.2411E-01 -3.4877E+01 3.7747E+01 -3.4884E+01 5.1115E+03 5.5598E+03 5.1123E+03 ;
6.5000E+00 4.0400E+00 2.1900E+00 2.5600E+00 1.8809E+00 1.9379E+00 2.7408E+01 5.8000E-01 5.6490E-07 1.9796E+02 2.6393E+01 -1.9819E-01 2.3333E-01 -1.9826E-01 -3.2936E+01 3.5601E+01 -3.2943E+01 4.7886E+03 5.2157E+03 4.7893E+03 ;
5.5000E+00 3.4900E+00 1.9000E+00 2.2800E+00 1.5563E+00 1.6230E+00 2.1134E+01 5.8000E-01 5.8370E-07 1.7101E+02 1.9638E+01 -1.7090E-01 2.0124E-01 -1.7096E-01 -3.0762E+01 3.3214E+01 -3.0768E+01 4.4210E+03 4.8214E+03 4.4217E+03 ;
4.5000E+00 3.1100E+00 1.7200E+00 2.1100E+00 1.3547E+00 1.4318E+00 1.7282E+01 5.8000E-01 6.0107E-07 1.5239E+02 1.5555E+01 -1.5210E-01 1.7908E-01 -1.5215E-01 -2.9137E+01 3.1472E+01 -2.9143E+01 4.1540E+03 4.5281E+03 4.1546E+03 ;
3.5000E+00 2.3000E+00 1.3900E+00 1.7700E+00 9.8531E-01 1.0494E+00 9.9066E+00 5.8000E-01 6.2998E-07 1.1270E+02 8.4439E+00 -1.1217E-01 1.3198E-01 -1.1221E-01 -2.5048E+01 2.7230E+01 -2.5054E+01 3.5635E+03 3.8571E+03 3.5640E+03 ;
2.5000E+00 1.8600E+00 1.2500E+00 1.6400E+00 8.2858E-01 9.0324E-01 6.9349E+00 5.8000E-01 6.7432E-07 9.1140E+01 5.4900E+00 -9.0416E-02 1.0647E-01 -9.0450E-02 -2.2493E+01 2.4427E+01 -2.2498E+01 3.1988E+03 3.4684E+03 3.1993E+03 ;
1.5000E+00 1.4000E+00 1.1300E+00 1.5200E+00 6.9424E-01 7.6829E-01 4.2931E+00 5.8000E-01 7.3684E-07 6.8600E+01 3.0836E+00 -6.7782E-02 7.9782E-02 -6.7810E-02 -1.9434E+01 2.1188E+01 -1.9439E+01 2.7755E+03 2.9965E+03 2.7760E+03 ;
5.0000E-01 4.5000E-01 9.8400E-01 1.3800E+00 5.3079E-01 6.1085E-01 1.1452E+00 5.8000E-01 1.9024E-06 2.2050E+01 3.1037E-01 -2.1687E-02 2.5434E-02 -2.1702E-02 -7.8077E+00 9.0727E+00 -7.8128E+00 2.2104E+03 2.2308E+03 2.2105E+03 ;];
%% Columns of the excel sheet.
% 1= Input Volt
% 2= Current
% 3= Left yellow load V
% 4= Right Green% Load V
% 5= Force on Yellow left Load cell kg
% 6= Force on Green right Load cell kg
% 7= Net attractive force% Newtons
% 8= Air Gap 0.83 mm
% 9= Km
%10= NI
%11 = F_fem
%12 = B_leftLeg
%13 = B_center
%14 = B_right
%15 = H_left
%16 = H_center
%17 = H_right
%18 = MU_left
%19 = Mu_center
%20 = Mu_right
%% Splitting columns to create array
actuatorCurrent_A = thirdRevisionHoneyWellDataSet_03Sept2022(:,2);
actuatorForce_N = thirdRevisionHoneyWellDataSet_03Sept2022(:,7);
airGap_mm = thirdRevisionHoneyWellDataSet_03Sept2022(:,8);
actuatorKm = thirdRevisionHoneyWellDataSet_03Sept2022(:,9);
femForce_N = thirdRevisionHoneyWellDataSet_03Sept2022(:,11);
analyticalForce_N = kmTheory*actuatorCurrent_A.^2./(airGap_mm*1e-3).^2;
legendString = {...
'830\mu m',...
'785\mu m',...
'720\mu m',...
'670\mu m',...
'620\mu m',...
'580\mu m',...
'530\mu m',...
'505\mu m',...
'450\mu m',...
'390\mu m',...
'340\mu m',...
'240\mu m',...
'115\mu m',...
};
formatString = {...
'k*',...
'k+',...
'k^',...
'ks',...
'kd',...
'kv',...
'r*',...
'r+',...
'r^',...
'rs',...
'rd',...
'rv',...
};
airGapMicrons_list = [830 785 720 670 620 580 530 505 450 390 340 240];% 115]
%% Plot forces vs current
figure('Name','Current Vs Force Vs Theory',...
'units','normalized',...
'position',[0 0 1 1 ]);
hold on;
subplotIndex = 1;
for airGapMicrons = airGapMicrons_list;
subplot(3,4,subplotIndex);
curr = thirdRevisionHoneyWellDataSet_03Sept2022((thirdRevisionHoneyWellDataSet_03Sept2022(:,8)*1000==airGapMicrons),2);
forc_exp = thirdRevisionHoneyWellDataSet_03Sept2022((thirdRevisionHoneyWellDataSet_03Sept2022(:,8)*1000==airGapMicrons),7);
forc_fem = thirdRevisionHoneyWellDataSet_03Sept2022((thirdRevisionHoneyWellDataSet_03Sept2022(:,8)*1000==airGapMicrons),11);
forc_anal= analyticalForce_N((thirdRevisionHoneyWellDataSet_03Sept2022(:,8)*1000==airGapMicrons));
%forc_femm= fem_results ((data_exp_anal_fem_compare(:,5)==iter),3);
plot(curr,forc_exp,'ko',...
curr,forc_anal,'r+',...
curr,forc_fem,'bv',...
'linewidth',2)
title(['Air gap = ' legendString{subplotIndex}],'fontsize',12,'fontweight','n','color','k');
legend('Experimental','Analytical','FEM','location','best');
% Left most plots get the y axis label
if (subplotIndex == 1 || subplotIndex == 5 || subplotIndex == 9)
ylabel('Actuator force N','fontsize',12,'fontweight','n','color','k');
end
% Bottom most plots get the x axis label
if (subplotIndex >= 9 && subplotIndex <= 12)
xlabel('Current A','fontsize',12,'fontweight','n','color','k');
end
subplotIndex = subplotIndex +1;
end
set( findall(gcf,'-Property','fontsize'),'fontsize',16)
%set(gca,'fontsize',10);
%saveas(gcf,'ForceVsCurrentDiffGaps_analFem_aug29Data_sept2sim.png')
saveas(gcf,'ForceVsCurrentDiffGaps_analFem_aug29Data_sept2sim.fig')
export_fig('ForceVsCurrentDiffGaps_analFem_aug29Data_sept2sim.png')
%% Plot forces vs current, single plot
figure('Name','Force Vs current, air gap',...
'units','normalized',...
'position',[0 0 1 1 ]);
hold on;
columnIndex = 1;
for airGapMicrons= airGapMicrons_list(1:end-1);
currMatrix{columnIndex} = thirdRevisionHoneyWellDataSet_03Sept2022((thirdRevisionHoneyWellDataSet_03Sept2022(:,8)*1000==airGapMicrons),2);
forcExpMatrix{columnIndex} = thirdRevisionHoneyWellDataSet_03Sept2022((thirdRevisionHoneyWellDataSet_03Sept2022(:,8)*1000==airGapMicrons),7);
plot(currMatrix{columnIndex},forcExpMatrix{columnIndex},formatString{columnIndex},'linewidth',2)
columnIndex = columnIndex +1;
end
legend(legendString(1:12),'location','best');
title('Variation of actuator force with current for various air gaps','fontsize',12,'fontweight','n','color','k');
ylabel('Actuator force N','fontsize',12,'fontweight','n','color','k');
xlabel('Current A','fontsize',12,'fontweight','n','color','k');
set( findall(gcf,'-Property','fontsize'),'fontsize',16)
saveas(gcf,'ForceVsCurrentDiffGaps_analFem_aug29Data_sept2sim_singlePlot.fig')
export_fig('ForceVsCurrentDiffGaps_analFem_aug29Data_sept2sim_singlePlot.png')
%% Plot Km vs gap
figure('Name','Current Vs Force Vs Theory',...
'units','normalized',...
'position',[0 0 1 1 ]);
subplot(2,1,1)
plot(...
airGap_mm(1000*airGap_mm==830),actuatorKm(1000*airGap_mm==830),'o',...
airGap_mm(1000*airGap_mm==785),actuatorKm(1000*airGap_mm==785),'v',...
airGap_mm(1000*airGap_mm==720),actuatorKm(1000*airGap_mm==720),'^',...
airGap_mm(1000*airGap_mm==670),actuatorKm(1000*airGap_mm==670),'.',...
airGap_mm(1000*airGap_mm==620),actuatorKm(1000*airGap_mm==620),'d',...
airGap_mm(1000*airGap_mm==580),actuatorKm(1000*airGap_mm==580),'+',...
airGap_mm(1000*airGap_mm==530),actuatorKm(1000*airGap_mm==530),'*',...
airGap_mm(1000*airGap_mm==505),actuatorKm(1000*airGap_mm==505),'x',...
airGap_mm(1000*airGap_mm==450),actuatorKm(1000*airGap_mm==450),'s',...
airGap_mm(1000*airGap_mm==390),actuatorKm(1000*airGap_mm==390),'o',...
airGap_mm(1000*airGap_mm==340),actuatorKm(1000*airGap_mm==340),'o',...
airGap_mm(1000*airGap_mm==240),actuatorKm(1000*airGap_mm==240),'o',...
airGap_mm,kmTheory*ones(size(airGap_mm)),'k-',...
'linewidth',2)
title('Magnetic bearing constant K_m','fontsize',12,'fontweight','n','color','k');
legend([legendString(1:12) 'Analytical'],'location','best');
ylabel('Magnetic bearing constant K_m, (Nm^2/A^2)','fontsize',12,'fontweight','n','color','k');
xlabel('Air gap, mm','fontsize',12,'fontweight','n','color','k');
ylim([0 2e-6])
set(gca,'fontsize',10);
set(findall(gcf,'-Property','fontsize'),'fontsize',16)
subplot(2,1,2)
actuatorKm_boxPlot = actuatorKm;
airGap_mm_boxPlot = airGap_mm;
boxplot(actuatorKm,airGap_mm)
title('Magnetic bearing constant K_m','fontsize',12,'fontweight','n','color','k');
legend([legendString(1:12) 'Analytical'],'location','best');
ylabel('Magnetic bearing constant K_m, (Nm^2/A^2)','fontsize',12,'fontweight','n','color','k');
xlabel('Air gap, mm','fontsize',12,'fontweight','n','color','k');
ylim([0 2e-6])
set(gca,'fontsize',10);
set(findall(gcf,'-Property','fontsize'),'fontsize',16)
export_fig('airGapVsKm.png')
%% Plot Km vs force
figure('Name','Force vs Km',...
'units','normalized',...
'position',[0 0 1 1 ]);
hold on;
plot(...
actuatorForce_N(1000*airGap_mm==830),actuatorKm(1000*airGap_mm==830),'o',...
actuatorForce_N(1000*airGap_mm==785),actuatorKm(1000*airGap_mm==785),'v',...
actuatorForce_N(1000*airGap_mm==720),actuatorKm(1000*airGap_mm==720),'^',...
actuatorForce_N(1000*airGap_mm==670),actuatorKm(1000*airGap_mm==670),'.',...
actuatorForce_N(1000*airGap_mm==620),actuatorKm(1000*airGap_mm==620),'d',...
actuatorForce_N(1000*airGap_mm==580),actuatorKm(1000*airGap_mm==580),'+',...
actuatorForce_N(1000*airGap_mm==530),actuatorKm(1000*airGap_mm==530),'*',...
actuatorForce_N(1000*airGap_mm==505),actuatorKm(1000*airGap_mm==505),'x',...
actuatorForce_N(1000*airGap_mm==450),actuatorKm(1000*airGap_mm==450),'s',...
actuatorForce_N(1000*airGap_mm==390),actuatorKm(1000*airGap_mm==390),'o',...
actuatorForce_N(1000*airGap_mm==340),actuatorKm(1000*airGap_mm==340),'o',...
actuatorForce_N(1000*airGap_mm==240),actuatorKm(1000*airGap_mm==240),'o',...
actuatorForce_N,kmTheory*ones(size(actuatorForce_N)),'k-',...
'linewidth',2)
title('Magnetic bearing constant K_m','fontsize',12,'fontweight','n','color','k');
legend([legendString(1:12) 'Analytical'],'location','best');
ylabel('Actuator K_m Nm^2/A^2','fontsize',12,'fontweight','n','color','k');
xlabel('Force in N','fontsize',12,'fontweight','n','color','k');
ylim([0 2e-6])
set(gca,'fontsize',10);
set(findall(gcf,'-Property','fontsize'),'fontsize',16)
export_fig('forceVsKm.png')

Monday, September 12, 2022

FEMM program in Matlab to obtain the forces from EI core electromagnetic actuator for different gaps and current.

 The top surface of the E actuator, facing the thrust plate is not flat due to previously unknown error in the surface grinder bed level.

The top of the E actuator needed to be all at 40mm, but they were differing to a max of 140 microns above the mean as shown below. When the thrust plate was touching the top surface of the E actuator, it was actually 140 microns above the center leg, not flush with the actuator. The forces that were measured with the load cell are actually at a higher gap than the gap measured with the eddy current probe.

The uneven top surface due to error in surface grinding operation



%% FEMM program to create the geometry and simulate E actuator with tilt of thrust plate
% Balaji Sankar 9 september 2022
% If you get the error:
% Actx server creation failed, invalid prog ide'fem.activeFemm', reinstall
% fem after registering matlab to the group capable of creating server
% using command matlab -regserver.
% mydir='./'
% showconsole()
% clearconsole()
clc;clear all;close all;commandwindow;
%% Experimental values from april 22 test data
% Creating the tilted plate
x_midTP = 30;%Constant
thrustPlateThickness = 10;%Constant
footProjection = 0;% Fine mesh region just to the left and right of the tip of the top edge of the feet
depthIntoPage = 36; %mm
blockLabelRaiseAboveEleg = 0.05;
fineAirGapMeshSize_mm = 0.1; % Mesh size;
roughMeshSize_mm = 3; % Mesh size
NumberOfTurns = 49;
kmTheory = 4*3.14e-7*20e-3*35e-3*NumberOfTurns*NumberOfTurns/4; % Used for validation of experimental data
tiltAngle_deg = -0.1;%+ anticlockwise plate rotation
plainCarbonSteel_muR = 100;
%% Data sets of the experimental measurements
%-------Used during development only------------
% 6th pair in the data set given in G:\01_PHD\05_WIP\10_leverRig_v2_mudi2\2022_august_29_thirdRevisionData\2022_Sept_04_eCore_straight_M15_batchMode.lua
% current_validation = 0.605; % 3.8 turns at 49 turns = 186.2 NI gives 11.6 Newtons, 0.15 Tesla and 0.830
% gap_validation = 0.171;
% April 4th 2022, FUll data set
d_gap_cur_expF_analF_ident_oldFEM = [0.171000000000000,0.171000000000000,0.171000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.263000000000000,0.247000000000000,0.247000000000000,0.247000000000000,0.247000000000000,0.247000000000000,0.232000000000000,0.217000000000000,0.217000000000000,0.217000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.324000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.309000000000000,0.293000000000000,0.293000000000000,0.278000000000000,0.247000000000000,0.278000000000000,0.278000000000000,0.263000000000000,0.247000000000000,0.401000000000000,0.397000000000000,0.386000000000000,0.386000000000000,0.386000000000000,0.386000000000000,0.378000000000000,0.370000000000000,0.366000000000000,0.355000000000000,0.340000000000000,0.324000000000000,0.309000000000000,0.447000000000000,0.447000000000000,0.447000000000000,0.447000000000000,0.447000000000000,0.436000000000000,0.436000000000000,0.432000000000000,0.432000000000000,0.432000000000000,0.432000000000000,0.432000000000000,0.420000000000000,0.401000000000000,0.401000000000000,0.401000000000000,0.386000000000000,0.386000000000000,0.370000000000000,0.355000000000000,0.340000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.539000000000000,0.524000000000000,0.539000000000000,0.539000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.555000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.524000000000000,0.509000000000000,0.509000000000000,0.509000000000000,0.509000000000000,0.493000000000000,0.489000000000000,0.478000000000000,0.474000000000000,0.585000000000000,0.570000000000000,0.555000000000000,0.555000000000000,0.555000000000000,0.539000000000000,0.524000000000000,0.509000000000000,0.509000000000000,0.478000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.724000000000000,0.708000000000000,0.708000000000000,0.708000000000000,0.697000000000000,0.693000000000000,0.678000000000000,0.678000000000000,0.678000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.801000000000000,0.785000000000000,0.778000000000000,0.770000000000000,0.770000000000000,0.755000000000000,0.755000000000000,0.739000000000000,0.739000000000000,0.724000000000000,0.908000000000000,0.908000000000000,0.904000000000000,0.893000000000000,0.893000000000000,0.893000000000000,0.893000000000000,0.889000000000000,0.877000000000000,0.877000000000000,0.877000000000000,0.862000000000000,0.862000000000000,0.862000000000000,0.847000000000000,0.847000000000000,0.954000000000000,0.954000000000000,0.950000000000000,0.939000000000000,0.939000000000000,0.924000000000000,0.908000000000000,0.893000000000000,0.862000000000000,1.06200000000000,1.06200000000000,1.06200000000000,1.06200000000000,1.04700000000000,1.04700000000000,1.04700000000000,1.04700000000000,1.03100000000000,1.03100000000000,1.03100000000000,1.01600000000000,1.01600000000000;0.605000000000000,0.658000000000000,0.708000000000000,0.766000000000000,0.821000000000000,0.880000000000000,0.932000000000000,0.986000000000000,1.04000000000000,1.09400000000000,1.25900000000000,1.36800000000000,1.47200000000000,1.57000000000000,1.66200000000000,1.74400000000000,1.81900000000000,1.88700000000000,1.97300000000000,2.16400000000000,2.25100000000000,2.42900000000000,0.980000000000000,1.09000000000000,1.20800000000000,1.31900000000000,1.42700000000000,1.52900000000000,1.62400000000000,1.71300000000000,1.79000000000000,1.86400000000000,1.92700000000000,2.08000000000000,2.17000000000000,2.26000000000000,2.34000000000000,2.43000000000000,2.52000000000000,2.51000000000000,2.62000000000000,2.74200000000000,2.86000000000000,3.27100000000000,2.74000000000000,2.87200000000000,3.21000000000000,3.37000000000000,1.31300000000000,1.52200000000000,1.70400000000000,1.85400000000000,1.97300000000000,2.16700000000000,2.32400000000000,2.52520000000000,2.62600000000000,2.87000000000000,3.38000000000000,3.44200000000000,3.65200000000000,1.31000000000000,1.51000000000000,1.70000000000000,1.85000000000000,1.96000000000000,2.06000000000000,2.16000000000000,2.25000000000000,2.33000000000000,2.43000000000000,2.52000000000000,2.62000000000000,2.87000000000000,3.32000000000000,3.44000000000000,3.55000000000000,3.73000000000000,3.80000000000000,4.08000000000000,4.22000000000000,4.36000000000000,1.62130000000000,1.70800000000000,1.78500000000000,1.85800000000000,1.92000000000000,1.97000000000000,2.02000000000000,2.07000000000000,2.16000000000000,2.34000000000000,2.43000000000000,2.52000000000000,2.52000000000000,2.62000000000000,2.74000000000000,2.87000000000000,3.32000000000000,3.01000000000000,2.88000000000000,3.32000000000000,3.38000000000000,3.44000000000000,3.44000000000000,3.46000000000000,2.11000000000000,3.29000000000000,3.32000000000000,3.43000000000000,3.44000000000000,3.55000000000000,3.64000000000000,3.74000000000000,3.87000000000000,3.95000000000000,4.15000000000000,4.29000000000000,4.29900000000000,4.43000000000000,2.29000000000000,2.86000000000000,3.36000000000000,3.43000000000000,3.65000000000000,3.93000000000000,4.20000000000000,4.47000000000000,4.58000000000000,4.88000000000000,1.52000000000000,1.71100000000000,1.86000000000000,1.98000000000000,2.08000000000000,2.26000000000000,2.43000000000000,2.52000000000000,2.86000000000000,3.27000000000000,3.38000000000000,3.54000000000000,3.73000000000000,4.07000000000000,4.21000000000000,4.48000000000000,1.70600000000000,1.85700000000000,1.85700000000000,1.97500000000000,2.20500000000000,2.40600000000000,2.62800000000000,2.87100000000000,3.39100000000000,3.44200000000000,3.66500000000000,3.93300000000000,4.21100000000000,4.48400000000000,4.60600000000000,4.90100000000000,5.15500000000000,1.85800000000000,1.97820000000000,2.16830000000000,2.34200000000000,2.52270000000000,2.62400000000000,2.86950000000000,3.38150000000000,3.44190000000000,3.63280000000000,3.80330000000000,4.21840000000000,4.49300000000000,4.58100000000000,4.80300000000000,5.00100000000000,1.61600000000000,1.97100000000000,2.43200000000000,2.86700000000000,3.51200000000000,4.21200000000000,4.74500000000000,5.15000000000000,5.45500000000000,2.34600000000000,2.52700000000000,2.62690000000000,2.86800000000000,3.39100000000000,3.44700000000000,3.65900000000000,3.93700000000000,4.21700000000000,4.49100000000000,4.61300000000000,4.91100000000000,5.15100000000000;1.56105002700000,1.80992850000000,2.08987710300000,1.72119937500000,1.91499558400000,2.13808808800000,2.34549615100000,2.57779392900000,2.82088409500000,3.08020019000000,4.00106360900000,4.66946354000000,5.42793697600000,6.19647459500000,7.00750958100000,7.78517778600000,8.55436892400000,9.33890840700000,10.5980516100000,13.6492169200000,15.4931097000000,21.2728636300000,1.63600000000000,1.96100000000000,2.00600000000000,2.40500000000000,2.84300000000000,3.28700000000000,3.74800000000000,4.21100000000000,4.63700000000000,5.09100000000000,5.44500000000000,6.58100000000000,7.28200000000000,8.00300000000000,8.76500000000000,9.61100000000000,10.5440000000000,10.6720000000000,11.6570000000000,13.0970000000000,14.8600000000000,23.0800000000000,15.5110000000000,16.9040000000000,21.6400000000000,26.5080000000000,2.14225193400000,2.92363585700000,3.70223766000000,4.38225154600000,5.01622039400000,6.16002694100000,7.33546377800000,8.70374455400000,9.55791175400000,11.8897587100000,18.6361970300000,19.7890594700000,24.4265379600000,1.67511699300000,2.26571089300000,2.98906238400000,3.40585773700000,3.96405579600000,4.37833043600000,4.88374288200000,5.23899547500000,5.78434723000000,6.20358860900000,6.70524799300000,7.37924951000000,9.07630604900000,12.9404668900000,13.8652700900000,15.2690275800000,17.4289431800000,18.4344279000000,23.1189036900000,26.2361677100000,30.5430965900000,1.62727944700000,1.84140941400000,2.04752911200000,2.24238962200000,2.40907415400000,2.64097982000000,2.78255057400000,2.92262757200000,3.21219223200000,3.84057816600000,4.19174160100000,4.56736529600000,4.54269964500000,5.01948798600000,5.57443712500000,6.20976902600000,8.82190067800000,7.34664827900000,6.73796125600000,8.91387872200000,9.27874737200000,9.63644599100000,9.62440258100000,9.77549603200000,3.25819992600000,8.74034158400000,8.87266972000000,9.57451112100000,9.65048730100000,10.4343732700000,11.0322865700000,11.8295790000000,13.3759528700000,13.8596311600000,15.7357890800000,17.2295453900000,17.5807648400000,19.2268469400000,4.03323538500000,6.43162918200000,9.26078495300000,9.62117233300000,11.0782009100000,13.3214681100000,15.7547224400000,18.6417799400000,19.8632431500000,24.4617719300000,1.50382048900000,1.85518931600000,2.10671920600000,2.49195895700000,2.73271513000000,3.18711579800000,3.68491008700000,3.91786138200000,5.12476046200000,6.87475199000000,7.27113889700000,8.06656413000000,8.97325553600000,10.9701463100000,11.8312594800000,13.7111891300000,1.55212483300000,1.74530486800000,1.74392314300000,1.97498857200000,2.59670861800000,3.05170678900000,3.60661858400000,4.34862335700000,6.22282072200000,6.42946323500000,7.34425826800000,8.62194272400000,10.0195011200000,11.5622713100000,12.3122863500000,14.2687710100000,16.3106425300000,1.60524654200000,1.97851757100000,2.33582407900000,2.67589637400000,3.07661517500000,3.32084433100000,3.93967022500000,5.51352921200000,5.70071554900000,6.34880039400000,6.97104325500000,8.71720703300000,9.97142084300000,10.3937991100000,11.5589663700000,13.6011553100000,1.54943607200000,1.91574246200000,2.75682062200000,3.82597669800000,5.57288735300000,8.19935906600000,10.2695932700000,12.7947883100000,16.5274052400000,1.77165099400000,2.10078152400000,2.25346209100000,2.76111517100000,4.02993044900000,4.21252348600000,4.79174616500000,5.60505913000000,6.51096631300000,7.45765304400000,7.91700178000000,9.09232658500000,10.3267481200000;6.60599706901269,7.81410809367669,9.04678236405048,4.47678142070581,5.14274114895112,5.90845177926528,6.62735410422588,7.41757901084012,8.25230041897382,9.13151832862699,12.0937172710868,14.2784329320245,16.5319457387442,21.3218678067170,23.8939516483011,26.3098821539904,28.6214307460834,30.8013493075809,38.1678809437091,52.4825457848075,56.7873196360042,66.1234355652445,4.82816361758878,5.97286671601128,7.33607387885993,8.74620029518938,10.2371195244075,11.7528934401368,13.2587284976071,14.7517843048525,16.1077874293172,17.4671336699893,18.6678050582438,23.9127519686639,26.0268948190739,28.2305778372660,30.2645767103403,32.6373911565652,35.0997457705722,34.8217290767797,42.1975454940652,46.2188896975760,55.8550342642720,92.5522603788261,51.2662300408881,56.3247311537084,78.6173527617864,98.2394095071219,5.65796888866487,7.75654184001675,10.2845292968724,12.1748802543478,13.7879407763578,16.6327117619413,19.9484196554184,24.5814762650299,27.1673401793484,34.4926796954573,52.1549357363322,59.5595708341640,73.7164524621569,4.53259998688748,6.02224883753985,7.63312974891021,9.03958012652083,10.1465160011811,11.7809770604326,12.9525229930141,14.3158582899306,15.3519729521391,16.6980171093750,17.9578126388889,19.4113141027949,24.6425167722222,36.1748942576228,38.8372068412510,41.3606932139725,49.2791153012161,51.1460892372950,64.1706925253470,74.5741039819083,86.7830666269896,4.50360867798997,4.99815378591738,5.45896516274653,5.91459894140800,6.31591591176041,6.64915312010389,6.99095683765928,7.34132706442659,7.99358107582177,9.94658578512396,10.7264216528926,11.5356852892562,11.5356852892562,12.4693811570248,13.6377725619835,14.9625671074380,21.1852425977507,16.4579337190083,15.0670175206612,21.1852425977507,21.9578935198998,22.7443829660276,22.7443829660276,23.0096213422877,7.62779113247301,20.8041065831682,21.1852425977507,22.6123403830633,22.7443829660276,24.2222220059291,26.9890159991663,28.4922986497659,30.5074714495467,31.7817988563422,37.3957461478961,40.6178296894878,42.6873254471202,46.0967829275045,8.08684428425743,13.2862433612804,19.3424924797662,20.1568248454509,22.8254637951465,28.0561076033058,33.9043837480333,40.7004611292221,42.7282631328426,55.0051937690167,2.32610808949666,2.94742480967423,3.48312134107628,3.94705425643295,4.35581459418211,5.14232586474772,5.94504659698269,6.39357548975917,8.61163073366530,11.2576784038351,12.0278148263590,13.6132185234938,15.2887170268340,19.0173184470636,20.3481369575186,23.0418045481679,2.39393784073404,2.83647280096228,2.83647280096228,3.20840375463099,3.99918968501452,4.76152492417063,5.68074817664436,6.77986741419013,9.84772957793631,10.3295734033730,11.9560123714876,13.7684892750248,16.4170994009663,18.6147476342069,20.5011790493184,23.2113487226820,26.7546981141735,2.20973182446681,2.50488934932581,3.03613953366506,3.62986699383559,4.21160996670827,4.55663867302461,5.44915784875139,7.63545830125550,8.12862629947158,9.05531660196720,9.92525853695599,12.6386542480320,14.3376559151951,14.9047913246427,16.9698577072468,18.3978357195683,1.51427869320922,2.25266363009968,3.45859555328000,4.91976149929763,7.38240178892325,10.9661108280992,14.4118782511971,17.5521931126630,21.1346386244893,2.57529408419675,2.98800485290005,3.22892454011431,3.84883336407801,5.53582132527994,5.72017152322066,6.44542120825846,7.46203556079744,8.82896346360986,10.0135628429677,10.5649981853579,12.3302618778247,13.5648667512514;1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12;5.75700000000000,6.85800000000000,7.98800000000000,4.12600000000000,4.76000000000000,5.49100000000000,6.18000000000000,6.93900000000000,7.74200000000000,8.59100000000000,11.4630000000000,13.5900000000000,15.7920000000000,20.3500000000000,22.8650000000000,25.2310000000000,27.4970000000000,29.6370000000000,36.6580000000000,50.3910000000000,54.6030000000000,63.7460000000000,4.58300000000000,5.69900000000000,7.03400000000000,8.42000000000000,9.88900000000000,11.3870000000000,12.8790000000000,14.3610000000000,15.7080000000000,17.0610000000000,18.2560000000000,23.3920000000000,25.4990000000000,27.6970000000000,29.7270000000000,32.0980000000000,34.5600000000000,34.2820000000000,41.4860000000000,45.5010000000000,54.8860000000000,90.6440000000000,50.3150000000000,55.3540000000000,77.2510000000000,96.2750000000000,5.52100000000000,7.60900000000000,10.1140000000000,12.0100000000000,13.6310000000000,16.4950000000000,19.8040000000000,24.4380000000000,27.0230000000000,34.3400000000000,52.0260000000000,59.2870000000000,73.2940000000000,4.45600000000000,5.95100000000000,7.57500000000000,8.99600000000000,10.1160000000000,11.7480000000000,12.9350000000000,14.3070000000000,15.3580000000000,16.7260000000000,18.0070000000000,19.4860000000000,24.7590000000000,36.3860000000000,39.0960000000000,41.6660000000000,49.6020000000000,51.5010000000000,64.5570000000000,74.9010000000000,87.0120000000000,4.52500000000000,5.03000000000000,5.50100000000000,5.96700000000000,6.37800000000000,6.71900000000000,7.07000000000000,7.42900000000000,8.09900000000000,10.0800000000000,10.8820000000000,11.7140000000000,11.7140000000000,12.6750000000000,13.8790000000000,15.2450000000000,21.6260000000000,16.7880000000000,15.3530000000000,21.6260000000000,22.4240000000000,23.2370000000000,23.2370000000000,23.5100000000000,7.72300000000000,21.2330000000000,21.6260000000000,23.1000000000000,23.2370000000000,24.7630000000000,27.5580000000000,29.1100000000000,31.1910000000000,32.5070000000000,38.2260000000000,41.5290000000000,43.5880000000000,47.0830000000000,8.23200000000000,13.5790000000000,19.8160000000000,20.6590000000000,23.4250000000000,28.7860000000000,34.7800000000000,41.7260000000000,43.8240000000000,56.2890000000000,2.37500000000000,3.01900000000000,3.57600000000000,4.05900000000000,4.48400000000000,5.30500000000000,6.14300000000000,6.61200000000000,8.91900000000000,11.6920000000000,12.5010000000000,14.1470000000000,15.8970000000000,19.7800000000000,21.1780000000000,24.0070000000000,2.47000000000000,2.93200000000000,2.93200000000000,3.32100000000000,4.15100000000000,4.95200000000000,5.91900000000000,7.07700000000000,10.3010000000000,10.8030000000000,12.5110000000000,14.4260000000000,17.2000000000000,19.5230000000000,21.4820000000000,24.3470000000000,28.0530000000000,2.30600000000000,2.61700000000000,3.17700000000000,3.80100000000000,4.41700000000000,4.78200000000000,5.72900000000000,8.05100000000000,8.56600000000000,9.55200000000000,10.4780000000000,13.3490000000000,15.1590000000000,15.7640000000000,17.9420000000000,19.4630000000000,1.58100000000000,2.36200000000000,3.64200000000000,5.19300000000000,7.82100000000000,11.6390000000000,15.3070000000000,18.6400000000000,22.4110000000000,2.73100000000000,3.17300000000000,3.43200000000000,4.09700000000000,5.90400000000000,6.10200000000000,6.88300000000000,7.97800000000000,9.43800000000000,10.7150000000000,11.3090000000000,13.1980000000000,14.5290000000000]';
dataSetNumber = 12;% 12th data set has the largest air gaps right now 1047 to 1016
dataSetNumber = 07;% 585 470
exp_airGap_mm = d_gap_cur_expF_analF_ident_oldFEM((d_gap_cur_expF_analF_ident_oldFEM(:,5)==dataSetNumber),1);
exp_curr_amper = d_gap_cur_expF_analF_ident_oldFEM((d_gap_cur_expF_analF_ident_oldFEM(:,5)==dataSetNumber),2);
exp_measForceN = d_gap_cur_expF_analF_ident_oldFEM((d_gap_cur_expF_analF_ident_oldFEM(:,5)==dataSetNumber),3);
exp_analForceN = d_gap_cur_expF_analF_ident_oldFEM((d_gap_cur_expF_analF_ident_oldFEM(:,5)==dataSetNumber),4);
exp_straitFemForcN = d_gap_cur_expF_analF_ident_oldFEM((d_gap_cur_expF_analF_ident_oldFEM(:,5)==dataSetNumber),6);
exp_tiltFemForcN = zeros(size(exp_measForceN));
%% RUN tilted FEM for all load cases
for loadCaseIter = 1:size(exp_airGap_mm,1)
airGap_mm_iter = exp_airGap_mm(loadCaseIter);
curr_ampere_iter = exp_curr_amper(loadCaseIter);
%% Start FEMM
% Start up and connect to FEMM
% addpath('/cygdrive/c/femm42/octavefemm/mfiles');
openfemm(0)
% openfem(1) will hide the openFEM window;
% messagebox('Balaji The GREAT = Check if unequal gaps cause reduction of force.')
newdocument(0)
% %NOTE: newdocument(doctype) Creates a new preprocessor document and opens up a new
% %preprocessor window. Specify doctype to be 0 for a magnetics problem, 1 for an
% %electrostatics problem, 2 for a heat flow problem, or 3 for a current flow
% %problem. Alternative syntax for this function is create(doctype)
minangleAngleConstraing4Mesh = 30;
mi_probdef(0, 'millimeters', 'planar', 1e-008, depthIntoPage, minangleAngleConstraing4Mesh, 'succ.approx')
%% Create geometry
% ----------------
%Draw nodes of E actuator
mi_addnode(00.000,00.000)
mi_addnode(60.000,00.000)
mi_addnode(60.000,39.930)
mi_addnode(50.000,39.950)
mi_addnode(50.000,10.000)
mi_addnode(40.000,10.000)
mi_addnode(40.000,39.975)
mi_addnode(20.000,40.015)
mi_addnode(20.000,10.000)
mi_addnode(10.000,10.000)
mi_addnode(10.000,40.110)
mi_addnode(00.000,40.140)
% Draw the line segments, upside facing e actuator
mi_addsegment(00.000,00.000,60.000,00.000)%01
mi_addsegment(60.000,00.000,60.000,39.930)%02
mi_addsegment(60.000,39.930,50.000,39.950)%03
mi_addsegment(50.000,39.950,50.000,10.000)%04
mi_addsegment(50.000,10.000,40.000,10.000)%05
mi_addsegment(40.000,10.000,40.000,39.975)%06
mi_addsegment(40.000,39.975,20.000,40.015)%07
mi_addsegment(20.000,40.015,20.000,10.000)%08
mi_addsegment(20.000,10.000,10.000,10.000)%09
mi_addsegment(10.000,10.000,10.000,40.110)%10
mi_addsegment(10.000,40.110,00.000,40.140)%11
mi_addsegment(00.000,40.140,00.000,00.000)%12
% Nodes of enclosing volume
mi_addnode(-10,-10)
mi_addnode( 70,-10)
mi_addnode( 70, 55)
mi_addnode(-10, 55)
mi_addsegment(-10,-10, 70,-10)%01
mi_addsegment( 70,-10, 70, 55)%02
mi_addsegment( 70, 55,-10, 55)%03
mi_addsegment(-10, 55,-10,-10)%04
% Tilt and airgap change the surface of the plate
y_midTP = 40 + airGap_mm_iter;
% Get the equation of the line
slope = tan(deg2rad(tiltAngle_deg));
intercept_lowerTPsurfaceLine= y_midTP - slope*x_midTP;
% Co ordinates of the thrust plate
x_leftBott_TP = -05;
x_rightBott_TP = +65;
y_leftBott_TP = slope*(-5) + intercept_lowerTPsurfaceLine;
y_rightBott_TP = slope*65 + intercept_lowerTPsurfaceLine;
y_leftTopp_TP = y_leftBott_TP + 10;
y_rightTopp_TP = y_rightBott_TP + 10;
% Nodes of thrust plate
mi_addnode (x_leftBott_TP ,y_leftBott_TP)
mi_addnode (x_rightBott_TP,y_rightBott_TP)
mi_addnode (x_rightBott_TP,y_rightTopp_TP)
mi_addnode (x_leftBott_TP,y_leftTopp_TP)
mi_addsegment(x_leftBott_TP ,y_leftBott_TP ,x_rightBott_TP,y_rightBott_TP)%01
mi_addsegment(x_rightBott_TP,y_rightBott_TP,x_rightBott_TP,y_rightTopp_TP)%02
mi_addsegment(x_rightBott_TP,y_rightTopp_TP,x_leftBott_TP ,y_leftTopp_TP) %03
mi_addsegment(x_leftBott_TP ,y_leftTopp_TP ,x_leftBott_TP ,y_leftBott_TP) %04
% Coordinates of left fine mesh volume
mi_addnode(00-footProjection,40.140)
mi_addnode(10+footProjection,40.110)
mi_addnode(00-footProjection,slope*(00-footProjection) + intercept_lowerTPsurfaceLine)
% Coordinates of central fine mesh volume
mi_addnode(20-footProjection,40.015)
mi_addnode(40+footProjection,39.975)
% Coordinates of right fine mesh volume
mi_addnode(50-footProjection,39.950)
mi_addnode(60+footProjection,39.930)
mi_addnode(60+footProjection,slope*(60+footProjection) + intercept_lowerTPsurfaceLine);
% On the e actuator left foot
mi_addsegment(00-footProjection,40.140,10+footProjection,40.110)%01
% Left Vertical line
mi_addsegment(00-footProjection,slope*(00-footProjection) + intercept_lowerTPsurfaceLine,00-footProjection,40.140)%01
% Along the thrust plate, full line
mi_addsegment(00-footProjection,slope*(00-footProjection) + intercept_lowerTPsurfaceLine,60+footProjection,slope*(60+footProjection) + intercept_lowerTPsurfaceLine)
% Right Vertical line
mi_addsegment(60+footProjection,39.930,60+footProjection,slope*(60+footProjection) + intercept_lowerTPsurfaceLine)%01
% On the e actuator right foot
mi_addsegment(60+footProjection,39.930,50-footProjection,39.950)
% On Central foot
mi_addsegment(20-footProjection,40.015,40+footProjection,39.975)
% Left Central bridge
mi_addsegment(20-footProjection,40.015,10+footProjection,40.110)
% Right Central bridge
mi_addsegment(40+footProjection,39.975,50-footProjection,39.950)
mi_zoomnatural()
%% Assign block labels for coil, thrust plate and E acutuator and air.
mi_addblocklabel(30,45);% Thrust plate
mi_addblocklabel(5,5);% E actuator
mi_addblocklabel(5,5);% E actuator
mi_addblocklabel(15,15);% E coil left side
mi_addblocklabel(45,15);% E coil right side
% Air
mi_addblocklabel(5,-2);% Just below the E actuator
mi_addblocklabel(30,39.995+blockLabelRaiseAboveEleg);% Just 1 micron above the mid point of the central leg
%% Boundary condition:
% -------------------
% Can't figure out how to do this yet.
% Open boundary condition
% Define an "asymptotic boundary condition" property. This will mimic
% an "open" solution domain
% mi addboundprop(’propname’, A0, A1, A2, Phi, Mu, Sig, c0, c1, BdryFormat,ia, oa)
mu_o = pi*4.e-7;
mi_addboundprop('A=0', 0, 0, 0, 0, 0, 0, 0, 0, 0);
%% Create material BH curves
% -------------------
bh_curve_Iron_fromdemo2 = [ 0.,0.3,0.8,1.12,1.32,1.46,1.54,1.62,1.74,1.87,1.99,2.046,2.08; 0, 40, 80, 160, 318, 796, 1590, 3380, 7960, 15900, 31800, 55100, 79600]';
bh_curve_m17_fromExcel = [0,0.108333333000000,0.208333333000000,0.320833333000000,0.425000000000000,0.562500000000000,0.720833333000000,0.841666667000000,1.00833333300000,1.14583333300000,1.27083333300000,1.32916666700000,1.36250000000000,1.38333333300000,1.40416666700000,1.42500000000000,1.43333333300000,1.45000000000000,1.45833333300000,1.47083333300000,1.47500000000000,1.48333333300000,1.48333333300000,1.49583333300000,1.49583333300000,1.50416666700000;0,5.20833333300000,14.3662280700000,22.2017543900000,35.3048245600000,43.1271929800000,58.8333333300000,70.6118421100000,86.3135964900000,104.662280700000,126.964912300000,158.513157900000,200.600877200000,240.063596500000,290.052631600000,342.673245600000,420.300438600000,509.765350900000,584.760964900000,647.912280700000,716.331140400000,779.484649100000,836.063596500000,899.214912300000,967.635964900000,995.263157900000]';
bh_curve_m15_fromExcel = [0,0.0500000000000000,0.100000000000000,0.150000000000000,0.200000000000000,0.250000000000000,0.300000000000000,0.350000000000000,0.400000000000000,0.450000000000000,0.500000000000000,0.550000000000000,0.600000000000000,0.650000000000000,0.700000000000000,0.750000000000000,0.800000000000000,0.850000000000000,0.900000000000000,0.950000000000000,1,1.05000000000000,1.10000000000000,1.15000000000000,1.20000000000000,1.25000000000000,1.30000000000000,1.35000000000000,1.40000000000000,1.45000000000000,1.50000000000000,1.55000000000000,1.60000000000000,1.65000000000000,1.70000000000000,1.75000000000000,1.80000000000000,1.85000000000000,1.90000000000000,1.95000000000000,2,2.05000000000000,2.10000000000000,2.15000000000000,2.20000000000000,2.25000000000000,2.30000000000000;0,15.1207140000000,22.7182920000000,27.8427330000000,31.8714340000000,35.3650440000000,38.6005880000000,41.7362020000000,44.8739790000000,48.0878070000000,51.4372360000000,54.9752210000000,58.7529930000000,62.8236440000000,67.2452850000000,72.0844060000000,77.4201000000000,83.3500210000000,89.9996120000000,97.5373530000000,106.201406000000,116.348464000000,128.547329000000,143.765431000000,163.754169000000,191.868158000000,234.833507000000,306.509769000000,435.255202000000,674.911968000000,1108.32556900000,1813.08546800000,2801.21742100000,4053.65311700000,5591.10689000000,7448.31841300000,9708.81567000000,12486.9316150000,16041.4836440000,21249.4206240000,31313.4958780000,53589.4468770000,88477.4846010000,124329.410540000,159968.569300000,197751.604272000,234024.751347000]';
% Expression of BH curve from Calculation of Nonlinear Electromagnetic
% Fields in the Steel Wall Vicinity of Transformer Bushings Article in IEEE Transactions on Magnetics · June 2015 DOI: 10.1109/TMAG.2014.2379217 Sergei Maximov
% B = mu_o * (999637.86 * arcTan (0.001002 * H) + 1.0861 * H)
H_0_230000 = linspace(0,230000,47)';
bh_curve_lowCarbSteel = [ mu_o*(999637.86 * atan (0.001002 * H_0_230000) + 1.0861 * H_0_230000) , H_0_230000];
% For silicon steel ST 1312
bh_curve_ST1312_siliconSteel = [0 0.11 0.32 0.74 1.05 1.25 1.37 1.50 1.74 1.95 2.07 2.17;0 33 66 125 250 500 1000 2500 10000 25000 52000 100000]';
%% Apply materials to blocks
% ----------------
% mi addmaterial(’matname’, mu x, mu y, H c, J, Cduct, Lam d, Phi hmax, lam fill,
% LamType, Phi hx, Phi hy, nstr, dwire) adds a new material with called ’matname’
% with the material properties
% – mu xRelative permeability in the x- or r-direction.
% – mu yRelative permeability in the y- or z-direction.
% – Hc Permanent magnet coercivity in Amps/Meter.
% – J Applied source current density in Amps/mm 2 .
% – Cduct Electrical conductivity of the material in MS/m.
% – Lamd Lamination thickness in millimeters.
% – Phihmax Hysteresis lag angle in degrees, used for nonlinear BH curves.
% – Lamfill Fraction of the volume occupied per lamination that is actually filled with
% iron(Note that this parameter defaults to 1 in the femm preprocessor dialog box because,
% by default, iron completely fills the volume)
% – LamtypeSet to
% ? 0 – Not laminated or laminated in plane
% ? 1 – laminated x or r
% ? 2 – laminated y or z
% ? 3 – magnet wire
% ? 4 – plain stranded wire
% ? 5 – Litz wire
% ? 6 – square wire
% – Phi hxHysteresis lag in degrees in the x-direction for linear problems.
% – Phi hyHysteresis lag in degrees in the y-direction for linear problems.
% – nstrNumber of strands in the wire build. Should be 1 for Magnet or Square wire.
% – dwireDiameter of each of the wire’s constituent strand in millimeters
muX = 1;
muY = 1;
permMagCoer = 0;
sourceCurrDens = 0;
conductivity = 0;
lamThk = 0;
phi_hysteresisLagAngle = 0;
laminateFillFraction = 1;
laminationType = 0;
phi_hysteresisLagDeg_x = 0;
phi_hysteresisLagDeg_y = 0;
wireStrandsCount = 0;
wireDiameter = 0;
mi_addmaterial('AirMaterial' , muX , muY, permMagCoer, sourceCurrDens, conductivity, lamThk, phi_hysteresisLagAngle, laminateFillFraction, laminationType, phi_hysteresisLagDeg_x,phi_hysteresisLagDeg_y,wireStrandsCount,wireDiameter);
muX = 1;
muY = 1;
permMagCoer = 0;
sourceCurrDens = 0;
conductivity = 58;% For current carrying coil, don't know why multiplying by .65;
lamThk = 0;
phi_hysteresisLagAngle = 0;
laminateFillFraction = 1;
laminationType = 3;% magnet wire
phi_hysteresisLagDeg_x = 0;
phi_hysteresisLagDeg_y = 0;
wireStrandsCount = 0; % This is strands, not turns. Number of turns is given in block properties below;
wireDiameter = 1.02;
mi_addmaterial('CoilMaterial', muX , muY, permMagCoer, sourceCurrDens, conductivity, lamThk, phi_hysteresisLagAngle, laminateFillFraction, laminationType, phi_hysteresisLagDeg_x,phi_hysteresisLagDeg_y,wireStrandsCount,wireDiameter);
%muX = 2828;% For linear iron, muX, 4000/1.414
%muY = 2828;% For linear iron, muY, 4000/1.414
muX = plainCarbonSteel_muR/sqrt(2);% For carbon steel, engineering tool box, 100/1.414
muY = plainCarbonSteel_muR/sqrt(2);% For carbon steel, engineering tool box, 100/1.414
permMagCoer = 0;
sourceCurrDens = 0;
conductivity = 0;% For linear iron, zeroing out previous change in coil.
lamThk = 0;
phi_hysteresisLagAngle = 0;
laminateFillFraction = 1;
laminationType = 0;% Not laminated
phi_hysteresisLagDeg_x = 0;
phi_hysteresisLagDeg_y = 0;
wireStrandsCount = 0;
wireDiameter = 0;
mi_addmaterial('Iron_linearMaterial', muX , muY, permMagCoer, sourceCurrDens, conductivity, lamThk, phi_hysteresisLagAngle, laminateFillFraction, laminationType, phi_hysteresisLagDeg_x,phi_hysteresisLagDeg_y,wireStrandsCount,wireDiameter);
muX = 0;% For non linear iron, muX
muY = 0;% For non linear iron, muY
permMagCoer = 0;
sourceCurrDens = 0;
conductivity = 0;% For non linear iron
lamThk = 0;
phi_hysteresisLagAngle = 0;
laminateFillFraction = 1;
laminationType = 0;% Not laminated
phi_hysteresisLagDeg_x = 0;
phi_hysteresisLagDeg_y = 0;
wireStrandsCount = 0;
wireDiameter = 0;
mi_addmaterial('Iron_nonLinearMaterial',muX , muY, permMagCoer, sourceCurrDens, conductivity, lamThk, phi_hysteresisLagAngle, laminateFillFraction, laminationType, phi_hysteresisLagDeg_x,phi_hysteresisLagDeg_y,wireStrandsCount,wireDiameter);
mi_addbhpoints('Iron_nonLinearMaterial', bh_curve_Iron_fromdemo2);% Associates BH curve with the Iron material, and replace the muX and muY values
muX = 1;% For e stamping, will replace with bh curve
muY = 1;% For e stamping, will replace with bh curve
permMagCoer = 0;
sourceCurrDens = 0;
conductivity = 0;% For non linear iron
lamThk = 0.5;
phi_hysteresisLagAngle = 0;
laminateFillFraction = 0.92;% For insulating film inbetween
% laminationType 1 gives mu_x extremely low
% laminationType 2 gives mu_y extremely low
laminationType = 0;
phi_hysteresisLagDeg_x = 0;
phi_hysteresisLagDeg_y = 0;
wireStrandsCount = 0;
wireDiameter = 0;
mi_addmaterial('eActLaminateMaterial',muX , muY, permMagCoer, sourceCurrDens, conductivity, lamThk, phi_hysteresisLagAngle, laminateFillFraction, laminationType, phi_hysteresisLagDeg_x,phi_hysteresisLagDeg_y,wireStrandsCount,wireDiameter);
mi_addbhpoints('eActLaminateMaterial',bh_curve_m15_fromExcel);
%% Current carrying coil:
% Add a "circuit property" so that we can calculate the properties of the
% coil as seen from the terminals.
circuitName = 'iCoilCircProp';
cur = curr_ampere_iter;
seriesConnected = 1;
mi_addcircprop(circuitName, cur, seriesConnected);
%% Assign material and mesh size to the blocks.
automesh = 0;
meshsize = roughMeshSize_mm;
incircuit= '<None>';
magdir = 0;
group = 0;
numberOfTurns = 0;
mi_selectlabel(30,45);% Thrust plate
% mi_setblockprop('Iron_linearMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
% mi_setblockprop('eActLaminateMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
mi_setblockprop('Iron_linearMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
mi_clearselected
meshsize = roughMeshSize_mm;
mi_selectlabel(5,5);% E actuator
mi_setblockprop('eActLaminateMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
mi_clearselected
meshsize = roughMeshSize_mm;
mi_selectlabel(5,-2);% Just below the E actuator
mi_setblockprop('AirMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
mi_clearselected
meshsize = fineAirGapMeshSize_mm;
mi_selectlabel(30,39.990+blockLabelRaiseAboveEleg);% Just 1 micron above the mid point of the central leg
mi_setblockprop('AirMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
mi_clearselected
meshsize = roughMeshSize_mm;
incircuit = 'iCoilCircProp';
numberOfTurns = +NumberOfTurns;
mi_selectlabel(15,15);% Left side of coil
mi_setblockprop('CoilMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
mi_clearselected
meshsize = roughMeshSize_mm;
incircuit = 'iCoilCircProp';
numberOfTurns = -NumberOfTurns;% Current has to go inside on one side.
mi_selectlabel(45,15);% Left side of coil
mi_setblockprop('CoilMaterial', automesh, meshsize, incircuit, magdir, group, numberOfTurns);
mi_clearselected
mi_zoomnatural
%% Mesh and solve
mi_saveas('EactUnequalLegsTiltedPlate.fem');
mi_createmesh();
mi_analyze;
%% Postprocess
mi_loadsolution();
% mo_addcontour(-1,1);
% mo_addcontour(61,1);
% magnitudeOfB = 1;
% numPoints = 100;
% mo_makeplot(magnitudeOfB,numPoints,'Eactuator_Bmag_alongEdgePlot.txt',0)
%
% mo_showdensityplot(1,0,1.6,0,'bmag');
% %1 with legend
% %0 colour plot
% %0 low b
% %1.6 max b
% %type of pplot
% mo_savebitmap('Eactuator_Bmag_density.bmp')
mo_clearblock;
mo_selectblock(30,45);
% fx = mo_blockintegral(18);% 18 is x direction weighted stress tensor force
exp_tiltFemForcN(loadCaseIter,1) = abs(mo_blockintegral(19));% 19 is y direction weighted stress tensor force
fprintf('\ni=%d/%d,FEM_tilt F=%3.3f N,Meas F=%3.1f N,Anal F=%3.1f N,Cur= %1.1fA,Gap=%1.3f mm,Tilt=%1.2fdeg',loadCaseIter,size(exp_airGap_mm,1),exp_tiltFemForcN(loadCaseIter),exp_measForceN(loadCaseIter),exp_analForceN(loadCaseIter),curr_ampere_iter,airGap_mm_iter,tiltAngle_deg);
%% Save and close;
closefemm
end
%% Plot gap vs force
fprintf('\n Tilted FEM calculated K_m:')
fprintf('\n ---------------------------')
fprintf('\n%1.2g',exp_tiltFemForcN.*(exp_airGap_mm*1e-3).^2./(exp_curr_amper).^2);
fprintf('\n Tilted FEM calculated force:')
fprintf('\n ---------------------------')
fprintf('\n%1.2f',exp_tiltFemForcN);
figure('units','normalized','outerposition',[0 0 1 1]);
subplot(1,2,1)
plot(exp_airGap_mm,exp_tiltFemForcN,'d',...
exp_airGap_mm,exp_analForceN,'o',...
exp_airGap_mm,exp_measForceN,'+','linewidth',2)
legend('Tilted, FEM','Analytical,straight','Measured','Location','Best');
xlabel('Air gap mm','fontsize',16,'fontweight','n','color','k');
ylabel('Force N','fontsize',16,'fontweight','n','color','k');
set(gca,'fontsize',16);
title('Gap Vs Force','fontsize',20,'fontweight','n','color','k');
subplot(1,2,2)
plot(exp_airGap_mm,exp_tiltFemForcN.*(exp_airGap_mm*1e-3).^2./(exp_curr_amper).^2,'d',...
exp_airGap_mm,exp_analForceN.*(exp_airGap_mm*1e-3).^2./(exp_curr_amper).^2,'o',...
exp_airGap_mm,exp_measForceN.*(exp_airGap_mm*1e-3).^2./(exp_curr_amper).^2,'+','linewidth',2)
legend('Tilted, FEM','Analytical,straight','Measured','Location','Best');xlabel('Air gap mm','fontsize',16,'fontweight','n','color','k');
ylabel('Magnetic bearing constant Nm^2/A^2','fontsize',16,'fontweight','n','color','k');
set(gca,'fontsize',16);
title('Gap Vs Km','fontsize',20,'fontweight','n','color','k');
%% OLD method of creating air gaps
% % Coordinates and segments of left fine mesh volume
% mi_addnode(00-footProjection,40.140)
% mi_addnode(10+footProjection,40.110)
% mi_addnode(10+footProjection,slope*(10+footProjection) + intercept_lowerTPsurfaceLine)
% mi_addnode(00-footProjection,slope*(00-footProjection) + intercept_lowerTPsurfaceLine)
% mi_addsegment(00-footProjection,40.140,10+footProjection,40.110)%01
% mi_addsegment(10+footProjection,40.110,10+footProjection,slope*(10+footProjection) + intercept_lowerTPsurfaceLine)%01
% mi_addsegment(10+footProjection,slope*(10+footProjection) + intercept_lowerTPsurfaceLine,00-footProjection,slope*(00-footProjection) + intercept_lowerTPsurfaceLine)%01
% mi_addsegment(00-footProjection,slope*(00-footProjection) + intercept_lowerTPsurfaceLine,00-footProjection,40.140)%01
%
%
% % Coordinates and segments of central fine mesh volume
% mi_addnode(20-footProjection,40.015)
% mi_addnode(40+footProjection,39.975)
% mi_addnode(40+footProjection,slope*(40+footProjection) + intercept_lowerTPsurfaceLine)
% mi_addnode(20-footProjection,slope*(20-footProjection) + intercept_lowerTPsurfaceLine)
% mi_addsegment(20-footProjection,40.015,40+footProjection,39.975)%01
% mi_addsegment(40+footProjection,39.975,40+footProjection,slope*(40+footProjection) + intercept_lowerTPsurfaceLine)%01
% mi_addsegment(40+footProjection,slope*(40+footProjection) + intercept_lowerTPsurfaceLine,20-footProjection,slope*(20-footProjection) + intercept_lowerTPsurfaceLine)%01
% mi_addsegment(20-footProjection,slope*(20-footProjection) + intercept_lowerTPsurfaceLine,20-footProjection,40.015)%01
%
% % Coordinates and segments of right fine mesh volume
% mi_addnode(50-footProjection,39.950)
% mi_addnode(60+footProjection,39.930)
% mi_addnode(60+footProjection,slope*(60+footProjection) + intercept_lowerTPsurfaceLine)
% mi_addnode(50-footProjection,slope*(50-footProjection) + intercept_lowerTPsurfaceLine)
% mi_addsegment(50-footProjection,39.950,60+footProjection,39.930)%01
% mi_addsegment(60+footProjection,39.930,60+footProjection,slope*(60+footProjection) + intercept_lowerTPsurfaceLine)%01
% mi_addsegment(60+footProjection,slope*(60+footProjection) + intercept_lowerTPsurfaceLine,50-footProjection,slope*(50-footProjection) + intercept_lowerTPsurfaceLine)%01
% mi_addsegment(50-footProjection,slope*(50-footProjection) + intercept_lowerTPsurfaceLine,50-footProjection,39.950)%01
%% Block meanings
% 3rd column material
% 4 column is mesh size
% 5th column is circuit
% 6th magnetization direction
% 7th is group membership
%% Scrap
% exp_airGap_mm,exp_straitFemForcN.*(exp_airGap_mm*1e-3).^2./(exp_curr_amper).^2,'*',...

Thursday, September 8, 2022

PID control resources for NI system

 LABVIEW Vi for implementing a single channel PID controller: 

https://knowledge.ni.com/KnowledgeArticleDetails?id=kA00Z0000019QlFSAU&l=en-IN


Use queue and channel wires

Use QUEUE to communicate between analog read and analog write task
 
One portion of code is creating (or producing) data to be processed (or consumed) by another portion. The advantage of using a queue is that the producer and consumer will run as parallel processes and their rates do not have to be identical. 
 
https://knowledge.ni.com/KnowledgeArticleDetails?id=kA00Z000000P7OfSAK&l=en-IN 

https://www.ni.com/en-in/support/documentation/supplemental/16/channel-wires.html

PID control labview example video:


https://www.youtube.com/watch?v=lyw_Ygeti3I&ab_channel=NIDevZone

https://www.youtube.com/watch?v=qMydcfZ_ZSs&ab_channel=FlexRIO

Thesis on PID control with labview

 
http://www.diva-portal.org/smash/get/diva2:757138/FULLTEXT02
https://www.ni.com/en-in/innovations/white-papers/06/pid-theory-explained.html
 

Simple on off control LABVIEW

Basic on off control using labview

 
Hardware timed PID control using shared sample clock and trigger

PID control with python and NIDAQMX

 

Edit on 15 Oct 2022

From https://forums.ni.com/t5/Multifunction-DAQ/Continuous-write-analog-voltage-NI-cDAQ-9178-with-callbacks/td-p/4036271?profile.language=en
 
1) Your code comments refer to wanting to be able to update output signals at 100 Hz, presumably under software control.  I assume this means you want <= 10 msec latency between your software deciding on an output value and having that output appear as a real world signal.     This is pretty tricky to accomplish with a buffered output task, and (I suspect) likely impossible when the device is connected by USB or Ethernet.  You may need to approach this with an unbuffered, software-timed, "on-demand" task and then live with the corresponding irregularities and uncertainties of software timing
2) The rule of thumb wouldn't apply to situations where low latency is the priority.  A lot of typical data acq and signal generation apps don't need real-time low latency.  They generate pre-defined stimulus signals and collect data for post-processing later.  The rule of thumb works well in those cases, allowing live displays with only *moderate* latency, enough for an operator to see what's going on.
3) In the past when I experimented with trying to do low latency hw-clocked AO, it wasn't trivial to get < 10 msec even with a PCIe device.  I recall that in order to get there, I needed to set up a few different low-level and fairly advanced DAQmx properties to non-default values.  I wouldn't have expected the defaults for a cDAQ system over USB to support that kind of usage so easily.
4) 

Sample rate and samples per channel

 
 

Hardware timed single point


Time stamping of acquired data samples from NI DAQ devices.

  1. DAQ cards do not have a time stamp mechanism, so we use the t0 (Buffer read time, not task start time) and dt in LabVIEW to time stamp it. Link = https://forums.ni.com/t5/Multifunction-DAQ/Loop-timing-with-NIDAQmx-for-Python/td-p/3656140
  2. DAQmx does not timestamp samples when they are taken on the DAQ device, but it does when it reads the FIFO samples onto the computer if you are reading in a waveform data type.
  3. Read = Reading from the FIFO buffer  into the PC
  4. Acquire = Acquisition of data by the DAQ hardware
  5. SOlution =  Each time you acquire, note down the time when the specific loop interation starts and then append dt to it for every column.
  6. Every row is a channel
  7. Every column is a sample taken in that channel.
     

Program for design point cycle analysis and parametric analysis of turboprop engines and plotting of parametric results, gas path temperatures and pressures.

%% Requirement:
% Pratap wants design point cycle analysis for 2500 HP, 2750 HP class engine and
% 3000HP class engine; Asked on 28 June 2022.
%% Constant:
% * TIT = Kept at the same level as 2750 class engine.
% * Ratio of LPC and HPC kept same
% * Ideally it should be done on the basis of work function distribution.
%% Parameters
% * Overall pressure ratio
% * Mass flow rate of air
clc;clear all;close all; commandwindow;
doPlots = 0;
ratioOfLPCtoHPCpr = 1.0272;% (18 = 4.3 * 4.18)
%TIT_k = 1477+273;%Vlaue of PW150A engine.
TIT_k = 1470;%Value Pratap asked to use.
whichEngineToRun = 'parametric';
whichEngineToRun = '2500hp';
whichEngineToRun = '2750hp';
whichEngineToRun = '3000hp';
whichEngineToRun = '5068.4hp';%PW150 value
switch lower(whichEngineToRun)
case 'parametric'
% % Use for parametric study
targetHp = 3000;%HP max take off power
rangeOfTotalPR = 14.5:0.01:16;
rangeOfMassFlow = 10:0.01:12;
case '2500hp'
% Picked values for 2500 HP, 0.43982 SFC = 0.95 * 0.463 SFC
targetHp = 2500;%HP max take off power
rangeOfTotalPR = 14.4;
rangeOfMassFlow = 9.72;
case '2750hp'
% % % Picked values for 2750 HP, 0.436 SFC = 0.95 * 0.459 SFC
targetHp = 2750;%HP max take off power
rangeOfTotalPR = 14.7;
rangeOfMassFlow = 10.66;
case '3000hp'
% % % Picked values for 3000 HP, 0.432 SFC = 0.95 * 0.455 SFC
targetHp = 3000;%HP max take off power
rangeOfTotalPR = 15.0;
rangeOfMassFlow = 11.58;
case '5068.4hp'
% % % Picked values for 5000 HP, 0.263 SFC kg/(kW hr)
targetHp = 5068.4;%HP max take off power
rangeOfTotalPR = 18.0;
rangeOfMassFlow = 11.50;
end
[prGrid,mDotGrid] = meshgrid(rangeOfTotalPR,rangeOfMassFlow);
fpt_power_out = prGrid*0;
sfc_out = prGrid*0;
mfDot_out = prGrid*0;
Thspec_out = prGrid*0;
Powspec_out = prGrid*0;
for rowIndex = 1:size(prGrid,1)
for colIndex = 1:size(prGrid,2)
% Assign parameters
pAmb = 101325;
tAmb = 288.15;
propeller.powerTakeOff_kW = targetHp*0.746;
%SFC_eshp_TO = 0.263;%kg/(kW*hr);
machFreestream = 0;
inlet.pr = 0.99;
overallPR = prGrid(rowIndex,colIndex);
lpc.pr = sqrt(overallPR*ratioOfLPCtoHPCpr);
lpc.eta = 0.78;
lpc.mDot = mDotGrid(rowIndex,colIndex);
lpc.exitArea = 0;
lpc.exitPr = 0.98;
hpc.pr = sqrt(overallPR/ratioOfLPCtoHPCpr);
hpc.eta = 0.77;
hpc.exitArea = 0;
hpc.bleedOutFractionOfInletAir = 0.01 ;
hpc.exitPr = 0.98;
burner.pr = 0.96;
burner.fhv = 43e6;
burner.eta = 0.99;
%burner.mfDot = propeller.powerTakeOff_kW* SFC_eshp_TO/3600;
hpt.fractionOfBleedAirReturningInFrontOfHptAndDoingWork = 1/2;
hpt.eta = 0.87;
hpt.exitPr = 0.99;
hpt.excessWork = 30*.746*1000;%30HP on HP spool
lpt.fractionOfBleedAirReturningInFrontOfLptAndDoingWork = 1/4;
lpt.eta = 0.87;
lpt.exitPr = 0.99;
lpt.excessWork = 30*0.746*1000;
lpt.exitArea = 0;
fpt.fractionOfBleedAirReturningInFrontOfFptAndDoingWork = 1/4;
fpt.eta = 0.87;
fpt.exitPr = 0.99;
lpSpool.eta = 0.99;
lpSpool.rpm = 27000;
hpSpool.eta = 0.99;
hpSpool.rpm = 31150;
fpSpool.eta = 0.99;
nozzle.cd = 0.99;
nozzle.ct = 0.99;
gearBox.excessWork = 30*0.746*1000;
%% Description of the fucntion:
% This function is part of project for parameter estimation and simulation
% of RTA
%
% Purpose of this function is to run the design point simulation model
% using the input arguments given and compare the output of the simulation
% model to the measurements, that are read from the mat file, and calculate
% the errors.
%% Input parameters
% The input parameters are the component parameters of the simulation model
% at a specific operating point. It could be design or off design rating.
%
%%
%
% # pAmb : Ambient pressure in Pascals
% # tAmb : Ambient temperature in K
% # mach : Free stream mach number
% # inlet.pr : Inlet total pressure ratio
% # lpc.pr : Low pressure compressor pressure ratio
% # lpc.eta : Low pressure compressor efficiency
% # lpc.mDot : Low pressure compressor actual mass flow rate
% # splitter.prColdChannel : Splitter pressure ratio in the cold channel,
% that leads to the bypass duct. This value should be less than 1 always.
% # splitter.prHotChannel : Splitter pressure ratio in the hot channel,
% that leads to the core engine. This value should be less than 1 always.
% # splitter.bpr : Splitter splitting ratio, division of flow into the core
% and the bypass streams, $\frac{M_{cold}}{M_{hot}}=bypass\ ratio$
% # bypassDuct.pr : Duct pressure ratio in the bypass dcuct connecting the
% lpc exit to the aferburner chamber. This value should be less than 1 always.
% # hpc.pr : High pressure compressor pressure ratio
% # hpc.eta : High pressure compressor efficiency
% # hpc.bleedOutFractionOfInletAir : High pressure compressor 7th stage air
% beed out, as a fraction of air incoming in the engine inlet.
% # burner.pr : Main combustion chamber pressure ratio
% # burner.eta : Main combustion chamber efficiency
% # burner.mfDot : Main combustion chamber fuel mass flow rate
% # burner.fhv : Main combustion chamber fuel heating value
% # hpt.excessWork : Additional work produced by the turbine in excess of
% the work consumedby the compressor.
% # hpt.eta : Isentropic efficiency of the turbine
% # hpt.exitPr : Pressure loss down stream of the HP turbine
% # lpt.excessWork : Additional work produced by the turbine in excess of
% the work consumedby the compressor.
% # lpt.eta : Isentropic efficiency of the turbine
% # lpt.exitPr : Pressure loss down stream of the LP turbine before static
% pressure measurement port.
% # lpSpool.eta : Mechanical transmission efficiency of the low pressure
% spool.
% # hpSpool.eta : Mechanical transmission efficiency of the high pressure
% spool.
% # Afterburner.pr: Afterburner pressure ratio, total pressure loss happens after
% before nozzle entry and just after lpt. Any loss of total pressure from
% the shock waves have to be absorbed in this total pressure loss factor.
% Nozzle itself does not have any total pressure loss factor. It has to be
% absorbed in after burner only.
% # Afterburner.mfDot : Fuel flow rate pumped into the afterburner. Heating
% value is the same as that of the main burner.
% # Afterburner.eta : Afterburner combustion chamber efficiency of
% combustion.
% # nozzle.cd: The ratio between the aerodynamic exit area and geometric
% exit area of the nozzle .
% # nozzle.ct: The ratio between the actual thrust generated and the theoretical momentum thrust
%% Input sanitation
commandwindow;
% fprintf('\n Balaji Sankar: ');
if (inlet.pr >1 || inlet.pr<0.8)
fprintf('\n In design point code, inlet pr is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (lpc.pr >6 || lpc.pr<3)
fprintf('\n In design point code, LPC pr is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (lpc.eta >1 || lpc.eta <0.6)
fprintf('\n In design point code, LPC eta is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (hpc.pr >10 || hpc.pr<1)
fprintf('\n In design point code, HPC pr is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (hpc.eta >1 || hpc.eta <0.6)
fprintf('\n In design point code, HPC eta is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
% if (splitter.bpr>1 || splitter.bpr <0.41)
% fprintf('\n In design point code, bypass ratio is unrealistic; pausing executiona and going into debug mode');
% keyboard;
% end
if (burner.pr>1 || burner.pr<0.4)
fprintf('\n In design point code, burner PR is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (hpt.eta >1 || hpt.eta <0.6)
fprintf('\n In design point code, HPT eta is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (lpt.eta >1 || lpt.eta <0.6)
fprintf('\n In design point code, LPT eta is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (lpt.exitPr >1 || lpt.exitPr <0.6)
fprintf('\n In design point code, LPT exit Pr is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (nozzle.cd >1 || nozzle.cd <0.8)
fprintf('\n In design point code, Coeffecient Discharge of nozzle is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
if (nozzle.ct >1 || nozzle.ct <0.8)
fprintf('\n In design point code, Thrust coeffecient nozzle is unrealistic; pausing executiona and going into debug mode');
keyboard;
end
%% Inlet
mach.ambient = machFreestream;
tP.inletEntry = pAmb*(1+0.2* mach.ambient* mach.ambient)^3.5;
tK.inletEntry = tAmb*(1+0.2* mach.ambient* mach.ambient);
m.inletEntry = lpc.mDot;
theta.inletEntry = tK.inletEntry /288.15;
delta.inletEntry = tP.inletEntry /101325;
mc.inletEntry = m.inletEntry*sqrt(theta.inletEntry)/delta.inletEntry;
tP.inletExit = tP.inletEntry*inlet.pr;
tK.inletExit = tK.inletEntry ;
m.inletExit = lpc.mDot;
theta.inletExit = tK.inletExit /288.15;
delta.inletExit = tP.inletExit /101325;
mc.inletExit = m.inletExit*sqrt(theta.inletExit)/delta.inletExit;
[g.inletExit,~,cp.inletExit] = gordonMcBrideAir_withG(tK.inletExit);
% LPC
m.lpcExit = m.inletExit;
tP.lpcExit = tP.inletExit*lpc.pr;
tKisen.lpcExit = tK.inletExit*(lpc.pr)^((g.inletExit-1)/g.inletExit);
tK.lpcExit = tK.inletExit + tK.inletExit*((((lpc.pr)^((g.inletExit-1)/g.inletExit))-1)/lpc.eta);
work.lpc = m.lpcExit*cp.inletExit*(tK.lpcExit-tK.inletExit);
theta.lpcExit = tK.lpcExit/288.15;
delta.lpcExit = tP.lpcExit/101325;
mc.lpcExit = m.lpcExit*sqrt(theta.lpcExit)/delta.lpcExit;
[g.lpcExit,~,cp.lpcExit] = gordonMcBrideAir_withG(tK.lpcExit);
tP.lpcExit = tP.lpcExit*lpc.exitPr;
% sP.lpcExit = staticFromTotal(m.lpcExit,tP.lpcExit,tK.lpcExit, lpc.exitArea,g.lpcExit,'LPC exit');
% HPC
m.hpcExit = m.lpcExit - hpc.bleedOutFractionOfInletAir*m.inletExit;
tP.hpcExit = tP.lpcExit*hpc.pr;
tKisen.hpcExit = tK.lpcExit*(hpc.pr)^((g.lpcExit-1)/g.lpcExit);
tK.hpcExit = tK.lpcExit+ tK.lpcExit*((((hpc.pr)^((g.lpcExit-1)/g.lpcExit))-1)/hpc.eta);
work.hpc = m.lpcExit*cp.lpcExit*(tK.hpcExit-tK.lpcExit);
theta.hpcExit = tK.hpcExit/288.15;
delta.hpcExit = tP.hpcExit/101325;
mc.hpcExit = m.hpcExit*sqrt(theta.hpcExit)/delta.hpcExit;
[g.hpcExit,~,cp.hpcExit] = gordonMcBrideAir_withG(tK.hpcExit);
% sP.hpcExit = staticFromTotal(m.hpcExit,tP.hpcExit,tK.hpcExit, hpc.exitArea,g.hpcExit,'HPC exit');
tP.hpcExit = tP.hpcExit*hpc.exitPr;
% Main combustion chamber
tK.burnerExit = TIT_k;
[g.burnerExit,~,cp.burnerExit]= gordonMcBrideAir_withG(tK.burnerExit);
burner.mfDot = ((m.hpcExit * cp.burnerExit * tK.burnerExit) - (m.hpcExit * cp.hpcExit * tK.hpcExit))/(burner.eta*burner.fhv- cp.burnerExit * tK.burnerExit);
m.burnerExit = m.hpcExit + burner.mfDot;
tP.burnerExit = tP.hpcExit*burner.pr;
tK.burnerExit = ((m.hpcExit*cp.hpcExit*tK.hpcExit) + (burner.eta*burner.fhv*burner.mfDot))/(m.burnerExit*cp.burnerExit);
work.burner = (burner.eta*burner.fhv*burner.mfDot);
theta.burnerExit = tK.burnerExit/288.15;
delta.burnerExit = tP.burnerExit/101325;
mc.burnerExit = m.burnerExit*sqrt(theta.burnerExit)/delta.burnerExit;
% HPT
m.hptExit = m.burnerExit + hpt.fractionOfBleedAirReturningInFrontOfHptAndDoingWork*hpc.bleedOutFractionOfInletAir*m.inletExit;
tK.hptExit = tK.burnerExit - (work.hpc/hpSpool.eta + hpt.excessWork)/(m.hptExit*cp.burnerExit);
tKisen.hptExit = tK.burnerExit - (tK.burnerExit - tK.hptExit)/hpt.eta;
tP.hptExit = tP.burnerExit*(tKisen.hptExit/tK.burnerExit)^(g.burnerExit/(g.burnerExit-1));
tP.hptExit = tP.hptExit*hpt.exitPr;
work.hpt = (tK.burnerExit - tK.hptExit)*m.hptExit*cp.burnerExit;
theta.hptExit = tK.hptExit/288.15;
delta.hptExit = tP.hptExit/101325;
mc.hptExit = m.hptExit*sqrt(theta.hptExit)/delta.hptExit;
[g.hptExit,~,cp.hptExit] = gordonMcBrideAir_withG(tK.hptExit);
hpt.pr = tP.burnerExit/tP.hptExit;
% LPT
m.lptExit = m.hptExit + lpt.fractionOfBleedAirReturningInFrontOfLptAndDoingWork*hpc.bleedOutFractionOfInletAir*m.inletExit;
tK.lptExit = tK.hptExit - (work.lpc/lpSpool.eta + lpt.excessWork)/(m.lptExit*cp.hptExit);
tKisen.lptExit = tK.hptExit - (tK.hptExit - tK.lptExit)/lpt.eta;
tP.lptExit = tP.hptExit*(tKisen.lptExit/tK.hptExit)^(g.hptExit/(g.hptExit-1));
tP.lptExit = tP.lptExit*lpt.exitPr;
work.lpt = (tK.hptExit - tK.lptExit)*m.lptExit*cp.hptExit;
theta.lptExit = tK.lptExit/288.15;
delta.lptExit = tP.lptExit/101325;
mc.lptExit = m.lptExit*sqrt(theta.lptExit)/delta.lptExit;
[g.lptExit,~,cp.lptExit] = gordonMcBrideAir_withG(tK.lptExit);
lpt.pr = tP.hptExit/tP.lptExit;
% [sP.lptExit,flag,dev] = staticFromTotal(m.lptExit,tP.lptExit,tK.lptExit, lpt.exitArea, g.lptExit,'LPT exit');
if ((strcmp(flag,'mDot_not_reached_even4_mach0p99_at_LPT_exit')) || ...
(strcmp(flag,'mDot_not_reached_even4_mach0p05_at_LPT_exit')))
fprintf('\n *************************************');
fprintf('\n ILLOGICAL VALUE OF Ps AT LPT EXIT');
fprintf('\n *************************************');
fprintf('\n Could not find sP at LPT exit because %s',flag);
fprintf('\n Could not find sP at LPT exit because %s',flag);
fprintf('\n Thrust and static pressure values will be');
fprintf('\n altered so that the error is very high at this guess.');
fprintf('\n The alteration will be a function of deviation of sP ');
fprintf('\n from max or min possible value');
sP.afterburnerEntry = dev*1e7;
th.momentum = dev*1e7;
th.pressure = dev*1e7;
th.pressure = dev*1e7;
area.nozzleThroat = 777;
area.nozzleExit = 777;
area.geometricNozzleExit = 777;
return;
end
%% Power turbine
m.fptExit = m.lptExit + fpt.fractionOfBleedAirReturningInFrontOfFptAndDoingWork*hpc.bleedOutFractionOfInletAir*m.inletExit;
tK.fptExit = tK.lptExit - (propeller.powerTakeOff_kW*1000/fpSpool.eta + gearBox.excessWork)/(m.fptExit*cp.lptExit);
tKisen.fptExit = tK.lptExit - (tK.lptExit - tK.fptExit)/fpt.eta;
tP.fptExit = tP.lptExit*(tKisen.fptExit/tK.lptExit)^(g.lptExit/(g.lptExit-1));
tP.fptExit = tP.fptExit*fpt.exitPr;
work.lpt = (tK.lptExit - tK.fptExit)*m.fptExit*cp.lptExit;
theta.fptExit = tK.fptExit/288.15;
delta.fptExit = tP.fptExit/101325;
mc.fptExit = m.fptExit*sqrt(theta.fptExit)/delta.fptExit;
[g.fptExit,~,cp.fptExit,~,R.fptExit] = gordonMcBrideAir_withG(tK.fptExit);
fpt.pr = tP.lptExit/tP.fptExit;
% [sP.fptExit,flag,dev] = staticFromTotal(m.fptExit,tP.fptExit,tK.fptExit, lpt.exitArea, g.fptExit,'LPT exit');
%% Nozzle
m.nozzleThroat = m.fptExit;
m.nozzleExit = m.nozzleThroat;
tP.nozzleEntry = tP.fptExit;
tK.nozzleEntry = tK.fptExit;
nozzleEntryThroatPressureRatio = tP.nozzleEntry/pAmb;
mach.nozzleThroat = sqrt((((nozzleEntryThroatPressureRatio )^((g.fptExit -1)/g.fptExit ))-1)*(2/(g.fptExit -1)));
if(mach.nozzleThroat >=1)
mach.nozzleThroat = 1;
end
% Get exit temperature
tK.nozzleThroat = tK.nozzleEntry;
tP.nozzleThroat = tP.nozzleEntry;
sK.nozzleThroat = tK.nozzleThroat / (1+(((g.fptExit -1)/2)*(mach.nozzleThroat*mach.nozzleThroat)));
sP.nozzleThroat = tP.nozzleThroat*(sK.nozzleThroat/tK.nozzleThroat)^(g.fptExit /(g.fptExit - 1));
a.nozzleThroat = sqrt(g.fptExit*R.fptExit*sK.nozzleThroat);
v.nozzleThroat = a.nozzleThroat*mach.nozzleThroat;
rho.nozzleThroat = sP.nozzleThroat/(R.fptExit*sK.nozzleThroat);
area.nozzleThroat = m.nozzleExit/(rho.nozzleThroat*v.nozzleThroat);
% Now assume expansion to optimum mach number at the exit of the divergent
% section
nozzleThroatExitPressureRatio = tP.nozzleThroat/pAmb;
mach.nozzleExit = sqrt((((nozzleThroatExitPressureRatio )^((g.fptExit -1)/g.fptExit ))-1)*(2/(g.fptExit -1)));
tK.nozzleExit = tK.nozzleEntry;
tP.nozzleExit = tP.nozzleEntry;
sK.nozzleExit = tK.nozzleExit / (1+(((g.fptExit -1)/2)*(mach.nozzleExit*mach.nozzleExit)));
sP.nozzleExit = tP.nozzleExit*(sK.nozzleExit/tK.nozzleExit)^(g.fptExit /(g.fptExit - 1));
a.nozzleExit = sqrt(g.fptExit*R.fptExit*sK.nozzleExit);
v.nozzleExit = a.nozzleExit*mach.nozzleExit;
rho.nozzleExit = sP.nozzleExit/(R.fptExit*sK.nozzleExit);
area.nozzleExit = m.nozzleExit/(rho.nozzleExit*v.nozzleExit);
area.geometricNozzleExit = area.nozzleExit/nozzle.cd;
th.pressure = (sP.nozzleExit-pAmb)*area.geometricNozzleExit;
th.momentum = m.nozzleExit * nozzle.ct*(v.nozzleExit - mach.ambient*sqrt(g.inletExit*287*tK.inletEntry));
th.total = th.pressure + th.momentum;
theta.nozzleThroat = tK.nozzleThroat/288.15;
delta.nozzleThroat = tP.nozzleThroat/101325;
mc.nozzleThroat = m.nozzleThroat*sqrt(theta.nozzleThroat)/delta.nozzleThroat;
theta.nozzleExit = tK.nozzleExit/288.15;
delta.nozzleExit = tP.nozzleExit/101325;
mc.nozzleExit = m.nozzleExit*sqrt(theta.nozzleExit)/delta.nozzleExit;
[g.nozzleExit,~,cp.nozzleExit] = gordonMcBrideAir_withG(tK.nozzleExit);
%% Powers
lpc.power = m.inletExit*cp.inletExit*(tK.inletExit - tK.lpcExit);
hpc.power = m.lpcExit*cp.lpcExit*(tK.lpcExit - tK.hpcExit);
burner.power = work.burner;
hpt.power = m.burnerExit*cp.burnerExit*(tK.burnerExit - tK.hptExit);
lpt.power = m.hptExit*cp.hptExit*(tK.hptExit - tK.lptExit);
fpt.power = m.fptExit*cp.lptExit*(tK.lptExit - tK.fptExit);
%% Output matrices populate
fpt_power_out(rowIndex,colIndex) = fpt.power;
sfc_out(rowIndex,colIndex) = burner.mfDot / fpt_power_out(rowIndex,colIndex) * 3600 * 1000; % Approx value = 250 kg/(kw hr)
Thspec_out(rowIndex,colIndex) = th.total / lpc.mDot; % Approx value = 250 kg/(kw hr)
Powspec_out(rowIndex,colIndex) = propeller.powerTakeOff_kW / lpc.mDot; % Approx value = 250 kg/(kw hr)
mfDot_out(rowIndex,colIndex) = burner.mfDot;
end
end
%% Print key results
if ( size(prGrid,1) == 1)
list_keyPerformance = [sfc_out;
tK.lptExit;
th.total;
lpc.power;
hpc.power;
burner.mfDot];
display('SFC ITT Thrust LPCpower HPCpower FuelFlowRate');
fprintf('\n SFC = %f kg/(kW*hr)',list_keyPerformance(1));
fprintf('\n SFC = %f lb/(hp*hr)',list_keyPerformance(1)/0.746*0.4535);
fprintf('\n ITT = %f K',list_keyPerformance(2));
fprintf('\n Th = %f N',list_keyPerformance(3));
fprintf('\n LPCpower = %f MW',list_keyPerformance(4)/1e6);
fprintf('\n HPCpower = %f MW',list_keyPerformance(5)/1e6);
fprintf('\n Mf = %f kg/s',list_keyPerformance(6));
%% Plot results of parametric search:
close all;
% Station wise Plot
stationNamesLabels={'Inlet Entry','Inlet Exit','LPC Exit','HPC Exit','Combustor Exit','HPT Exit','LPT Exit','FPT Exit','Nozzle Exit'};
yQuantities={'Mass flow rate $$\frac{kg}{sec}$$','Corrected mass flow rate $$\frac{kg}{sec}$$','Temperature total,( Kelvin)','Pressure Total (Pascals)'};
yQs = [m.inletEntry m.inletExit m.lpcExit m.hpcExit m.burnerExit m.hptExit m.lptExit m.fptExit m.nozzleExit;
mc.inletEntry mc.inletExit mc.lpcExit mc.hpcExit mc.burnerExit mc.hptExit mc.lptExit mc.fptExit mc.nozzleExit;
tK.inletEntry tK.inletExit tK.lpcExit tK.hpcExit tK.burnerExit tK.hptExit tK.lptExit tK.fptExit tK.nozzleExit;
tP.inletEntry tP.inletExit tP.lpcExit tP.hpcExit tP.burnerExit tP.hptExit tP.lptExit tP.fptExit tP.nozzleExit;];
titles=char('Mass flow rate','Corrected mass flow rate','Total Temperature ','Total Pressure ');
fn = char('Mass','CorrMass','Tt','Pt');
for i=[1 3 4]
figure('Name',fn(i,:),'units','normalized','position',[0 0 1 1]);
plot( [1 2 3 4 5 6 7 8 9 ],yQs(i,:),'-ok','linewidth',3);
set(gca, 'XTick', 1:9, 'XTickLabel', stationNamesLabels);
set(gca,'fontsize',14);
xlabel('Station Name','fontsize',14,'fontweight','b','color','k');
xticklabel_rotate([],45,[],'fontsize',14,'fontweight','b','color','k');
ylabel(yQuantities(i),'interpreter','latex','fontsize',14,'fontweight','b','color','k');
fileName=strcat(titles(i,:) ,' variation along the engine');
title(fileName,'fontsize',16,'fontweight','b','color','k');
fileName=strcat('.\..\output\pngFiles\',fn(i,:) ,'-var');
export_fig(strcat(fileName ,'.png'));
fileName=strcat('.\..\output\figFiles\',fn(i,:) ,'-var');
saveas(gcf,strcat(fileName ,'.fig'));
%saveas(gcf,strcat('E:\01Balajis_dd_Work\01_PR\01_genratedDocs\03_sgt\sgtAnalysisReport_pd\', fn(i,:), '-variationStationWise.png'));
end
end
%% Use only if you are doing parametric plot
if ( size(prGrid,1)>1)
figure('units','normalized','outerposition',[0 0 1 1]);
% subplot(131)
contourf(prGrid,mDotGrid,sfc_out);
xlabel('Pressure ratio');
ylabel('Mass flow rate kg/s');
zlabel('SFC kg/(kW*hr)');
title (sprintf(' SFC $$\\frac{lb}{shp \\times hr}$$ = f($$ \\dot{m}$$ , $$\\pi$$) , %d HP power',targetHp),'interpreter','latex','fontsize',20,'fontweight','n','color','k');
colorbar
set(findall(gcf,'-Property','fontsize'),'fontsize',36)
end
%%
% subplot(132)
% contourf(prGrid,mDotGrid,Thspec_out);
% xlabel('Pressure ratio');
% ylabel('Mass flow rate kg/s');
% zlabel('Specifice power kW/(kg/s)');
% title (sprintf('Specific thrust with $$ \\dot{m}$$ and $$\\pi$$ \n %d HP power',targetHp),'interpreter','latex','fontsize',20,'fontweight','n','color','k');
% colorbar
% set(findall(gcf,'-Property','fontsize'),'fontsize',36)
%
% subplot(133)
% contourf(prGrid,mDotGrid,Thspec_out./max(max(Thspec_out))+sfc_out./max(max(sfc_out)));
% xlabel('Pressure ratio');
% ylabel('Mass flow rate kg/s');
% zlabel('Specifice power kW/(kg/s)');
% title (sprintf('Specific thrust with $$ \\dot{m}$$ and $$\\pi$$ \n %d HP power',targetHp),'interpreter','latex','fontsize',20,'fontweight','n','color','k');
% colorbar
% set(findall(gcf,'-Property','fontsize'),'fontsize',36)
% figure('units','normalized','outerposition',[0 0 1 1]);
% contourf(prGrid,mDotGrid,mfDot_out);
% xlabel('Pressure ratio');
% ylabel('Mass flow rate kg/s');
% zlabel('Fuel flow rate, kg/s');
% title (sprintf('Variation of fuel flow rate with Mass flow rate and pressure ratio\n 2500 HP propeller useful power'),'fontsize',20,'fontweight','n','color','k');
% colorbar
% set(findall(gcf,'-Property','fontsize'),'fontsize',36)
%
%
% figure('units','normalized','outerposition',[0 0 1 1]);
% contourf(prGrid,mDotGrid,fpt_power_out/746);
% xlabel('Pressure ratio');
% ylabel('Mass flow rate kg/s');
% zlabel('Propeller power, HP');
% title (sprintf('Variation of fuel flow rate with Mass flow rate and pressure ratio\n 2500 HP propeller useful power'),'fontsize',20,'fontweight','n','color','k');
% colorbar
% set(findall(gcf,'-Property','fontsize'),'fontsize',16)
%

Python program for controlling NI-cDAQ device without LABView installation

  1.  Requires NI-MAX driver more than 17.0
  2. Lots of dependencies for nidaqmx python wrapper for the C API given by NI
  3. Plotting is using Matplotlib
  4. Use pip download option to download all the required dependencies as whl files on the computer with internet and then transfer the folder with whl files to the DAQ computer that is without internet
  5. Use pip install --find-links --no-index option to install the nidaqmx on the DAQ computer without internet
  6. The python program below generates signals used to excite the power amplifiers.Force from power amplifiers is measured via FX293 load cells via NI9205 input card.
  7. Generation and acquisition tasks must be committed before being used. Other wise there is big lag between start of generation task and start of acquisition tas
  8. See if you can use same clock source for both generation and acquisition to ensure synchronous use
  9. Trigger can be used on output task. Output tasks trigger is given by input task. input task should be committed before taking trigger from it.
  10. If you are using a task in a loop, always close the task for each loop use. Other wise the task will not read new data.
  11. Program below:
import nidaqmx
import numpy as np
import matplotlib.pyplot as plt
import time
import pdb
print("===========================================");
print("Revised = Balaji Sankar, 07 September 2022")
print("Revised = Balaji Sankar, 08 September 2022: trigger AO and AI simulatneously")
print("Original = Balaji Sankar, 18 September 2018")
print("Code to interact with CDAQ Analog input 9205 and output 9264 cards")
print("To generate signal for actuator excitation and to acquire data from load cell")
print("Input card 9205 is in slot 1 of cDAQ9189 chassis")
print("Output card 9264 is in slot 2 of cDAQ9189 chassis")
print("Using cDAQ 9189 chassis with serial number 01C8D546")
print("Host name cDAQ9189-1C8D546")
print("Check test panel of MAX to get the channel and chassis details.")
print(" ");
print("Always ensure computer ipV4 setting is in DHCP mode for auto assigning of IP address to CDAQ. Other wise you get error 201252 that there is no route to device or network adapter not fournd. I wasted 2 days full on googling this issue.")
print(" ");
print(" Virtual channel = Physical channel + Terminal connection + Scaling");
print(" Task = Virtual channel + Timing + Triggering");
print("===========================================");
def query_devices():
local_system = nidaqmx.system.System.local()
driver_version = local_system.driver_version
print('Version information = DAQmx {0}.{1}.{2}'.format(driver_version.major_version, driver_version.minor_version,
driver_version.update_version))
for device in local_system.devices:
print('Device Name: {0}, Product Category: {1}, Product Type: {2}'.format(
device.name, device.product_category, device.product_type))
# Setup
#--------
# Number of steps in the generated staircase given as excitation signal to the bottom amplifier.
bcvSigSeq = np.append(np.linspace(0,5,10),0);
bcvSigSeq = np.linspace(0,5,10);
# second and third row supply the 5 volt input supply for load cell
# DAQ output current nominal = 4mA
# Load cell current flow = 3mA
outputData = np.array([bcvSigSeq,5*np.ones(bcvSigSeq.shape),5*np.ones(bcvSigSeq.shape)]);
outputData[1,-1] = 0;
outputData[2,-1] = 0;
numStepsInGenSignal = outputData.shape[1];
samplingFrequency_GEN = 1;#Hz
samplingFrequency_ACQ = 10#Hz
acquisitionRunTime = numStepsInGenSignal*1/samplingFrequency_GEN;
samplesPerChannel_ACQ = int(samplingFrequency_ACQ*acquisitionRunTime);
#0 = Time
#1 = BCV Excitation signal loop back
#2 = Load cell 1
#3 = Load cell 2
#4 = 5V supply to load cell?
data = np.zeros((4,samplesPerChannel_ACQ))# Declare buffer array
data[0] = np.linspace(0,acquisitionRunTime-(1/samplingFrequency_ACQ) ,samplesPerChannel_ACQ) # Time
# Create output tasks
try:
print('Closing pending tasks')
inputTask.stop()
outputTask.stop()
inputTask.close()
outputTask.close()
print('Closed pending tasks')
except NameError:
print('Tasks are already closed.')
except:
print('Escapting errors like this should not be done.')
outputTask = nidaqmx.task.Task('balajiOutputTask');
outputTask.ao_channels.add_ao_voltage_chan("cDAQ9189-1C8D546Mod2/ao0")
outputTask.ao_channels.add_ao_voltage_chan("cDAQ9189-1C8D546Mod2/ao3")
outputTask.ao_channels.add_ao_voltage_chan("cDAQ9189-1C8D546Mod2/ao4")
# If rate =1, each sample of the data array will last for 1 second.
# If samps_per_chan is 10 and input data given to DAQ has 2 samples, the input data will be repeated 5 times.
# Then the pulse train will last for 10 seconds.
# If samps_per_chan is 5 and input data given to DAQ has 7 samples, only the first 5 samples of input data will be written.
outputTask.timing.cfg_samp_clk_timing(rate=samplingFrequency_GEN,\
samps_per_chan=numStepsInGenSignal,\
sample_mode=nidaqmx.constants.AcquisitionType.FINITE);
# Create input task
inputTask = nidaqmx.task.Task('balajiInputTask');
# Creating input channel
inputTask.ai_channels.add_ai_voltage_chan("cDAQ9189-1C8D546Mod1/ai0",\
name_to_assign_to_channel='Generated signal loop back', max_val=5, min_val=0,\
terminal_config=nidaqmx.constants.TerminalConfiguration.RSE)
inputTask.ai_channels.add_ai_voltage_chan("cDAQ9189-1C8D546Mod1/ai1",\
name_to_assign_to_channel='Load cell 1', max_val=5, min_val=0,\
terminal_config=nidaqmx.constants.TerminalConfiguration.RSE)
inputTask.ai_channels.add_ai_voltage_chan("cDAQ9189-1C8D546Mod1/ai2",\
name_to_assign_to_channel='Load cell 2', max_val=5, min_val=0,\
terminal_config=nidaqmx.constants.TerminalConfiguration.RSE)
#inputTask.ai_channels.add_ai_voltage_chan("cDAQ9189-1C8D546Mod1/ai3",\
#name_to_assign_to_channel='Supply 5V to load cell ', max_val=6, min_val=0,\
#terminal_config=nidaqmx.constants.TerminalConfiguration.RSE)
# Timing configureation
inputTask.timing.cfg_samp_clk_timing(rate=samplingFrequency_ACQ,\
sample_mode=nidaqmx.constants.AcquisitionType.FINITE,\
samps_per_chan=samplesPerChannel_ACQ)
#pdb.set_trace()
print(" ")
print("=======================")
print("Signal details:")
print("BCV start = {} V".format(outputData[0,0]))
print("BCV first value = {} V".format(outputData[0,1]))
print("BCV penultimate = {} V".format(outputData[0,-2]))
print("BCV end = {} V".format(outputData[0,-1]))
print("Acquisition run time = {} s".format(acquisitionRunTime))
print("Acquisition samples = {} nos".format(samplesPerChannel_ACQ))
print("Sample frequency ACQ = {} kHz".format(samplingFrequency_ACQ/1e3))
print(" ")
print("outputData = ")
print(outputData)
print(" ")
# Start writing
#pdb.set_trace()
# Each row of data is one channel.
# From page 51 (55 of 303) in nidaqmx-python.pdf
#outputTask.out_stream.relative_to = nidaqmx.constants.WriteRelativeTo.FIRST_SAMPLE
# From page 51 (55 of 303) in nidaqmx-python.pdf
#nidaqmx.constants.WriteRelativeTo
# From https://github.com/fhchl
# Commiting both the tasks reduces lag between read and write
# Before this, there is 1.3 second lag between input and output TASK.
# After only committing , even without trigger modifications, the lag is unnoticeable at 10s/s. It seems to be 5ms from online posts
# In addition, to this also configure start trigger of write task to take the trigger from the read task.
inputTask.control(nidaqmx.constants.TaskMode.TASK_COMMIT)
#After committing the input task, the inputTask.triggers.start_trigger.term property becomes
#available. Use this as the trigger setting for outputTask.
outputTask.triggers.start_trigger.cfg_dig_edge_start_trig(inputTask.triggers.start_trigger.term);
# Not sure committing output task helps.
outputTask.control(nidaqmx.constants.TaskMode.TASK_COMMIT)
outputTask.write(data=outputData,auto_start=False)
# Now you have to start the output task as auto start is set to false. It will start and wait for trigger from input task.
outputTask.start();
# outputTask.wait_until_done()
# Do not use wait until done. It pauses execution.
# So input task starts only after output tasks gets over. THere is no parallel execution.
# Start acquiring immediately after output task start.
data[1:4] = inputTask.read(number_of_samples_per_channel=nidaqmx.constants.READ_ALL_AVAILABLE, timeout=20.0);
inputTask.wait_until_done()
t = time.localtime();
prepend = 'straight'
# Write data to csv file for post processing.
fileName = './output/'+prepend +'loadCellData_t_{}_{}_{}_{}_{}_{}.csv'.format(t.tm_year,t.tm_mon,t.tm_mday,t.tm_hour,t.tm_min,t.tm_sec)
np.savetxt(fileName,data.transpose(),delimiter=',',)
# Plot the main signals
plt.figure(figsize=(10, 16))
plt.subplot(311)
plt.plot(data[0],data[1],'-o')
plt.axis([0 , np.max(data[0]), -0.1, 6])
plt.ylabel('BCV Signal V'.format())
plt.title('BCV loop back Smpl={:4.1f} Hz'.format(samplingFrequency_ACQ))
plt.subplot(312)
plt.plot(data[0],data[2],'-o')
plt.axis([0 , np.max(data[0]), -0.1, 3])
plt.ylabel('Load cell signal 1'.format())
plt.title('Load cell V 1 Smpl={:4.1f} Hz'.format(samplingFrequency_ACQ))
plt.subplot(313)
plt.plot(data[0],data[3],'-o')
plt.axis([0 , np.max(data[0]), -0.1, 3])
plt.ylabel('Load cell signal 2'.format())
plt.title('Load cell V 2 Smpl={:4.1f} Hz'.format(samplingFrequency_ACQ))
fileName = './output/'+prepend +'plot_t_{}_{}_{}_{}_{}_{}.png'.format(t.tm_year,t.tm_mon,t.tm_mday,t.tm_hour,t.tm_min,t.tm_sec)
plt.savefig(fileName, bbox_inches='tight')
#plt.show()
plt.close();
# Stop the tasks to make the next loop execution start afresh.
# Otherwise, you get the error
#DaqWriteError: Attempted to write a sample beyond the final sample generated. The generation has stopped, therefore the sample specified by the combination of position and offset w
#ill never be available.
#
#Specify a position and offset which selects a sample up to, but not beyond, the final sample generated. The final sample generated can be determined by querying the total samples g
#enerated after a generation has stopped.
#Attempted to Write Sample: 4
#Property: DAQmx_Write_RelativeTo
#Corresponding Value: DAQmx_Val_FirstSample
#Property: DAQmx_Write_Offset
#Corresponding Value: 0
inputTask.stop()
outputTask.stop()
# Close and cleanup
inputTask.close()
outputTask.close()
if __name__ == "__main__":
query_devices()

Thursday, September 1, 2022

NIKOTTO presentation on IC engine DAQ

  • NIKotto  = startup by IITM PHD students
  • Data acquisition through NI PXI system 
  • Data transferred from NI PXI to workstation through LAN
  • Python code does data processing in workstation
  • DASH python used for making UI running in browser connected to local host
  • Data is stored in file formal HDF5
  • DASH good for presenting plots, writing reports

  •