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pulipakaa24
2026-02-11 17:33:18 -06:00
parent 48961ef0b8
commit 2d80505006
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RL Testing/polynomial_equations.txt Normal file
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Magnetic Levitation Force & Torque — Explicit Polynomial Equations
Polynomial Degree: 6
Variables:
currL [A] = Left coil current
currR [A] = Right coil current
rollDeg [deg] = Roll angle
invGap = 1 / GapHeight [1/mm]
================================================================================
FORCE [N] =
-1.3837763236e+01
+ (+3.4900958018e-01) * currL [A]
+ (+3.4444782070e-01) * currR [A]
+ (+1.3948921341e-07) * rollDeg [deg]
+ (+6.3404397040e+02) * invGap
+ (+2.0808153074e-02) * currL [A]^2
+ (-8.2940557511e-04) * currL [A] * currR [A]
+ (+2.2629904125e-02) * currL [A] * rollDeg [deg]
+ (-1.4941727622e+01) * currL [A] * invGap
+ (+2.1137560003e-02) * currR [A]^2
+ (-2.2629886279e-02) * currR [A] * rollDeg [deg]
+ (-1.4834895226e+01) * currR [A] * invGap
+ (-7.3648244412e-01) * rollDeg [deg]^2
+ (-7.6740357314e-06) * rollDeg [deg] * invGap
+ (+1.3767217831e+03) * invGap^2
+ (-1.1531758728e-04) * currL [A]^3
+ (+7.2971576377e-05) * currL [A]^2 * currR [A]
+ (+5.4868393021e-06) * currL [A]^2 * rollDeg [deg]
+ (-1.0521912466e+00) * currL [A]^2 * invGap
+ (+5.2348894922e-05) * currL [A] * currR [A]^2
+ (+2.1794350221e-09) * currL [A] * currR [A] * rollDeg [deg]
+ (+3.2678067078e-02) * currL [A] * currR [A] * invGap
+ (-6.3017520966e-03) * currL [A] * rollDeg [deg]^2
+ (-2.6462505434e-01) * currL [A] * rollDeg [deg] * invGap
+ (-2.9510804409e+01) * currL [A] * invGap^2
+ (-7.2152022082e-05) * currR [A]^3
+ (-5.4823932308e-06) * currR [A]^2 * rollDeg [deg]
+ (-1.0708822638e+00) * currR [A]^2 * invGap
+ (-6.3914882711e-03) * currR [A] * rollDeg [deg]^2
+ (+2.6462554272e-01) * currR [A] * rollDeg [deg] * invGap
+ (-3.0234998506e+01) * currR [A] * invGap^2
+ (+4.5881294085e-09) * rollDeg [deg]^3
+ (+2.5797308313e+01) * rollDeg [deg]^2 * invGap
+ (+4.6682794236e-05) * rollDeg [deg] * invGap^2
+ (-5.3401486713e+03) * invGap^3
+ (+1.3320765542e-06) * currL [A]^4
+ (+3.2152411427e-06) * currL [A]^3 * currR [A]
+ (+1.2629467079e-05) * currL [A]^3 * rollDeg [deg]
+ (+1.7892402808e-03) * currL [A]^3 * invGap
+ (+3.0619624267e-06) * currL [A]^2 * currR [A]^2
+ (-1.5568499556e-07) * currL [A]^2 * currR [A] * rollDeg [deg]
+ (-1.0714912904e-03) * currL [A]^2 * currR [A] * invGap
+ (+8.7713928261e-05) * currL [A]^2 * rollDeg [deg]^2
+ (+4.5854056157e-03) * currL [A]^2 * rollDeg [deg] * invGap
+ (+2.0746027602e+01) * currL [A]^2 * invGap^2
+ (+3.8655549044e-06) * currL [A] * currR [A]^3
+ (+1.5545726439e-07) * currL [A] * currR [A]^2 * rollDeg [deg]
+ (-7.0411774478e-04) * currL [A] * currR [A]^2 * invGap
+ (-3.8261231547e-05) * currL [A] * currR [A] * rollDeg [deg]^2
+ (-9.5017239129e-09) * currL [A] * currR [A] * rollDeg [deg] * invGap
+ (+7.0646804762e-01) * currL [A] * currR [A] * invGap^2
+ (-2.5574383917e-03) * currL [A] * rollDeg [deg]^3
+ (-3.3355499360e-02) * currL [A] * rollDeg [deg]^2 * invGap
+ (-2.1337761184e+01) * currL [A] * rollDeg [deg] * invGap^2
+ (+1.2343471808e+02) * currL [A] * invGap^3
+ (+7.7592074199e-07) * currR [A]^4
+ (-1.2629426979e-05) * currR [A]^3 * rollDeg [deg]
+ (+8.6147973530e-04) * currR [A]^3 * invGap
+ (+8.0130692138e-05) * currR [A]^2 * rollDeg [deg]^2
+ (-4.5854241649e-03) * currR [A]^2 * rollDeg [deg] * invGap
+ (+2.1139446060e+01) * currR [A]^2 * invGap^2
+ (+2.5574380197e-03) * currR [A] * rollDeg [deg]^3
+ (-2.9857453053e-02) * currR [A] * rollDeg [deg]^2 * invGap
+ (+2.1337762097e+01) * currR [A] * rollDeg [deg] * invGap^2
+ (+1.2514911864e+02) * currR [A] * invGap^3
+ (+2.9443521553e-02) * rollDeg [deg]^4
+ (-7.9265644452e-09) * rollDeg [deg]^3 * invGap
+ (-2.3563990269e+02) * rollDeg [deg]^2 * invGap^2
+ (+1.6353835994e-04) * rollDeg [deg] * invGap^3
+ (-2.2354105572e+03) * invGap^4
+ (+3.1117360777e-07) * currL [A]^5
+ (-1.8750259301e-07) * currL [A]^4 * currR [A]
+ (-8.5198564648e-08) * currL [A]^4 * rollDeg [deg]
+ (-6.3869937977e-05) * currL [A]^4 * invGap
+ (-1.4911217505e-07) * currL [A]^3 * currR [A]^2
+ (+1.7061909929e-07) * currL [A]^3 * currR [A] * rollDeg [deg]
+ (-7.4262537249e-06) * currL [A]^3 * currR [A] * invGap
+ (+7.2402232831e-07) * currL [A]^3 * rollDeg [deg]^2
+ (+2.1841125430e-05) * currL [A]^3 * rollDeg [deg] * invGap
+ (-3.4357925518e-03) * currL [A]^3 * invGap^2
+ (-1.6416880300e-07) * currL [A]^2 * currR [A]^3
+ (+3.6385798723e-05) * currL [A]^2 * currR [A]^2 * invGap
+ (+5.2924336558e-07) * currL [A]^2 * currR [A] * rollDeg [deg]^2
+ (+8.5467922645e-05) * currL [A]^2 * currR [A] * rollDeg [deg] * invGap
+ (+4.5573594510e-03) * currL [A]^2 * currR [A] * invGap^2
+ (-2.9680843072e-05) * currL [A]^2 * rollDeg [deg]^3
+ (-3.7951808035e-03) * currL [A]^2 * rollDeg [deg]^2 * invGap
+ (+4.7717250306e-02) * currL [A]^2 * rollDeg [deg] * invGap^2
+ (-1.4608679078e+02) * currL [A]^2 * invGap^3
+ (-1.2370955460e-07) * currL [A] * currR [A]^4
+ (-1.7060417434e-07) * currL [A] * currR [A]^3 * rollDeg [deg]
+ (-1.3936700967e-05) * currL [A] * currR [A]^3 * invGap
+ (+4.5908154078e-07) * currL [A] * currR [A]^2 * rollDeg [deg]^2
+ (-8.5469212391e-05) * currL [A] * currR [A]^2 * rollDeg [deg] * invGap
+ (+1.6991917750e-03) * currL [A] * currR [A]^2 * invGap^2
+ (-3.7373312737e-04) * currL [A] * currR [A] * rollDeg [deg]^2 * invGap
+ (+1.5086926031e-07) * currL [A] * currR [A] * rollDeg [deg] * invGap^2
+ (-7.5987537316e+00) * currL [A] * currR [A] * invGap^3
+ (+6.6508849418e-04) * currL [A] * rollDeg [deg]^4
+ (+9.6378055653e-02) * currL [A] * rollDeg [deg]^3 * invGap
+ (+2.4435308561e+00) * currL [A] * rollDeg [deg]^2 * invGap^2
+ (+1.2664933542e+02) * currL [A] * rollDeg [deg] * invGap^3
+ (+5.1887450366e+01) * currL [A] * invGap^4
+ (+2.3180087538e-07) * currR [A]^5
+ (+8.5217195078e-08) * currR [A]^4 * rollDeg [deg]
+ (-6.9233585420e-05) * currR [A]^4 * invGap
+ (+7.5608402383e-07) * currR [A]^3 * rollDeg [deg]^2
+ (-2.1841873013e-05) * currR [A]^3 * rollDeg [deg] * invGap
+ (+3.1131797033e-03) * currR [A]^3 * invGap^2
+ (+2.9680840171e-05) * currR [A]^2 * rollDeg [deg]^3
+ (-3.7292231655e-03) * currR [A]^2 * rollDeg [deg]^2 * invGap
+ (-4.7717023731e-02) * currR [A]^2 * rollDeg [deg] * invGap^2
+ (-1.4923564858e+02) * currR [A]^2 * invGap^3
+ (+6.6540367362e-04) * currR [A] * rollDeg [deg]^4
+ (-9.6378069105e-02) * currR [A] * rollDeg [deg]^3 * invGap
+ (+2.3836959223e+00) * currR [A] * rollDeg [deg]^2 * invGap^2
+ (-1.2664937015e+02) * currR [A] * rollDeg [deg] * invGap^3
+ (+5.2627468646e+01) * currR [A] * invGap^4
+ (+1.4646059365e-10) * rollDeg [deg]^5
+ (-1.0417153181e+00) * rollDeg [deg]^4 * invGap
+ (+1.1431957446e-06) * rollDeg [deg]^3 * invGap^2
+ (+9.2056028147e+02) * rollDeg [deg]^2 * invGap^3
+ (-3.1228040188e-04) * rollDeg [deg] * invGap^4
+ (-5.9623186232e+02) * invGap^5
+ (+2.9763214116e-09) * currL [A]^6
+ (-6.2261733547e-09) * currL [A]^5 * currR [A]
+ (-3.7175269085e-08) * currL [A]^5 * rollDeg [deg]
+ (-3.1125615720e-06) * currL [A]^5 * invGap
+ (-9.9876729109e-09) * currL [A]^4 * currR [A]^2
+ (-1.3294041423e-08) * currL [A]^4 * currR [A] * rollDeg [deg]
+ (+2.2610334440e-06) * currL [A]^4 * currR [A] * invGap
+ (+2.4101829865e-08) * currL [A]^4 * rollDeg [deg]^2
+ (+2.5320289563e-06) * currL [A]^4 * rollDeg [deg] * invGap
+ (+2.0532678993e-04) * currL [A]^4 * invGap^2
+ (-7.0411871889e-09) * currL [A]^3 * currR [A]^3
+ (+1.1956544199e-08) * currL [A]^3 * currR [A]^2 * rollDeg [deg]
+ (+1.9188820701e-06) * currL [A]^3 * currR [A]^2 * invGap
+ (+6.3643952330e-08) * currL [A]^3 * currR [A] * rollDeg [deg]^2
+ (-3.3660324359e-06) * currL [A]^3 * currR [A] * rollDeg [deg] * invGap
+ (+1.0594658745e-05) * currL [A]^3 * currR [A] * invGap^2
+ (-2.5937761805e-07) * currL [A]^3 * rollDeg [deg]^3
+ (-7.2227672945e-06) * currL [A]^3 * rollDeg [deg]^2 * invGap
+ (+9.6876113423e-05) * currL [A]^3 * rollDeg [deg] * invGap^2
+ (+8.5422144858e-03) * currL [A]^3 * invGap^3
+ (-1.0519386251e-08) * currL [A]^2 * currR [A]^4
+ (-1.1957411061e-08) * currL [A]^2 * currR [A]^3 * rollDeg [deg]
+ (+2.1222821118e-06) * currL [A]^2 * currR [A]^3 * invGap
+ (+4.4935102750e-08) * currL [A]^2 * currR [A]^2 * rollDeg [deg]^2
+ (-1.2807847845e-04) * currL [A]^2 * currR [A]^2 * invGap^2
+ (+5.7679319987e-08) * currL [A]^2 * currR [A] * rollDeg [deg]^3
+ (-1.4777475671e-05) * currL [A]^2 * currR [A] * rollDeg [deg]^2 * invGap
+ (-2.5449360510e-04) * currL [A]^2 * currR [A] * rollDeg [deg] * invGap^2
+ (-1.2272562713e-02) * currL [A]^2 * currR [A] * invGap^3
+ (+8.8287809685e-07) * currL [A]^2 * rollDeg [deg]^4
+ (+4.4586018461e-04) * currL [A]^2 * rollDeg [deg]^3 * invGap
+ (+3.8576999819e-02) * currL [A]^2 * rollDeg [deg]^2 * invGap^2
+ (+3.4044411238e-01) * currL [A]^2 * rollDeg [deg] * invGap^3
+ (+3.5950095140e+02) * currL [A]^2 * invGap^4
+ (-8.4967268776e-09) * currL [A] * currR [A]^5
+ (+1.3295050394e-08) * currL [A] * currR [A]^4 * rollDeg [deg]
+ (+1.7032328259e-06) * currL [A] * currR [A]^4 * invGap
+ (+7.0043846279e-08) * currL [A] * currR [A]^3 * rollDeg [deg]^2
+ (+3.3657944138e-06) * currL [A] * currR [A]^3 * rollDeg [deg] * invGap
+ (+6.8900834879e-05) * currL [A] * currR [A]^3 * invGap^2
+ (-5.7674824028e-08) * currL [A] * currR [A]^2 * rollDeg [deg]^3
+ (-1.4623729019e-05) * currL [A] * currR [A]^2 * rollDeg [deg]^2 * invGap
+ (+2.5450219980e-04) * currL [A] * currR [A]^2 * rollDeg [deg] * invGap^2
+ (-1.0593500843e-03) * currL [A] * currR [A]^2 * invGap^3
+ (+1.0484950490e-06) * currL [A] * currR [A] * rollDeg [deg]^4
+ (-3.0932389983e-10) * currL [A] * currR [A] * rollDeg [deg]^3 * invGap
+ (+5.6370243409e-03) * currL [A] * currR [A] * rollDeg [deg]^2 * invGap^2
+ (-6.1682354633e-07) * currL [A] * currR [A] * rollDeg [deg] * invGap^3
+ (+2.2923219836e+01) * currL [A] * currR [A] * invGap^4
+ (-2.3420164800e-05) * currL [A] * rollDeg [deg]^5
+ (-9.2739975478e-03) * currL [A] * rollDeg [deg]^4 * invGap
+ (-7.4080422659e-01) * currL [A] * rollDeg [deg]^3 * invGap^2
+ (-2.1756879968e+01) * currL [A] * rollDeg [deg]^2 * invGap^3
+ (-3.5929041347e+02) * currL [A] * rollDeg [deg] * invGap^4
+ (+1.3909390562e+01) * currL [A] * invGap^5
+ (+6.1617129177e-09) * currR [A]^6
+ (+3.7175730938e-08) * currR [A]^5 * rollDeg [deg]
+ (-2.1826492898e-06) * currR [A]^5 * invGap
+ (+3.0887363778e-08) * currR [A]^4 * rollDeg [deg]^2
+ (-2.5321109476e-06) * currR [A]^4 * rollDeg [deg] * invGap
+ (+2.0057675659e-04) * currR [A]^4 * invGap^2
+ (+2.5936417813e-07) * currR [A]^3 * rollDeg [deg]^3
+ (-7.9156716870e-06) * currR [A]^3 * rollDeg [deg]^2 * invGap
+ (-9.6870862064e-05) * currR [A]^3 * rollDeg [deg] * invGap^2
+ (-1.1576514633e-02) * currR [A]^3 * invGap^3
+ (+1.0210733379e-06) * currR [A]^2 * rollDeg [deg]^4
+ (-4.4586066717e-04) * currR [A]^2 * rollDeg [deg]^3 * invGap
+ (+3.8287512141e-02) * currR [A]^2 * rollDeg [deg]^2 * invGap^2
+ (-3.4044501906e-01) * currR [A]^2 * rollDeg [deg] * invGap^3
+ (+3.6814992351e+02) * currR [A]^2 * invGap^4
+ (+2.3420159192e-05) * currR [A] * rollDeg [deg]^5
+ (-9.2337309491e-03) * currR [A] * rollDeg [deg]^4 * invGap
+ (+7.4080431520e-01) * currR [A] * rollDeg [deg]^3 * invGap^2
+ (-2.1520950367e+01) * currR [A] * rollDeg [deg]^2 * invGap^3
+ (+3.5929051935e+02) * currR [A] * rollDeg [deg] * invGap^4
+ (+1.4109361400e+01) * currR [A] * invGap^5
+ (+1.7232857807e-04) * rollDeg [deg]^6
+ (-1.5228368774e-09) * rollDeg [deg]^5 * invGap
+ (+7.4229949571e+00) * rollDeg [deg]^4 * invGap^2
+ (-4.7116044996e-06) * rollDeg [deg]^3 * invGap^3
+ (+4.0058823232e+02) * rollDeg [deg]^2 * invGap^4
+ (+7.4032294285e-04) * rollDeg [deg] * invGap^5
+ (-1.3151563792e+02) * invGap^6
================================================================================
TORQUE [mN*m] =
-2.5609643910e+00
+ (+1.2736755974e+01) * currL [A]
+ (-1.3082527996e+01) * currR [A]
+ (-1.3305641735e+01) * rollDeg [deg]
+ (+4.4151637366e+01) * invGap
+ (-6.3923649292e-02) * currL [A]^2
+ (-1.1560951475e-02) * currL [A] * currR [A]
+ (+1.8386370689e+00) * currL [A] * rollDeg [deg]
+ (-4.5922645259e+02) * currL [A] * invGap
+ (+9.8233200925e-02) * currR [A]^2
+ (+1.8386371393e+00) * currR [A] * rollDeg [deg]
+ (+4.7236896866e+02) * currR [A] * invGap
+ (+9.1214755261e-01) * rollDeg [deg]^2
+ (-1.0749540976e+03) * rollDeg [deg] * invGap
+ (-1.7435331556e+02) * invGap^2
+ (+1.3682740756e-03) * currL [A]^3
+ (+1.9533070101e-03) * currL [A]^2 * currR [A]
+ (+1.9657240805e-02) * currL [A]^2 * rollDeg [deg]
+ (+2.0525258396e+00) * currL [A]^2 * invGap
+ (-2.0087168696e-03) * currL [A] * currR [A]^2
+ (-7.7704180912e-03) * currL [A] * currR [A] * rollDeg [deg]
+ (+4.6783332660e-01) * currL [A] * currR [A] * invGap
+ (-1.5697787523e-01) * currL [A] * rollDeg [deg]^2
+ (-2.5279026405e+01) * currL [A] * rollDeg [deg] * invGap
+ (-2.6796288784e+03) * currL [A] * invGap^2
+ (-6.9397567186e-04) * currR [A]^3
+ (+1.9657238531e-02) * currR [A]^2 * rollDeg [deg]
+ (-3.1136966908e+00) * currR [A]^2 * invGap
+ (+1.8298169417e-01) * currR [A] * rollDeg [deg]^2
+ (-2.5279027176e+01) * currR [A] * rollDeg [deg] * invGap
+ (+2.5386184669e+03) * currR [A] * invGap^2
+ (+6.2974733858e-01) * rollDeg [deg]^3
+ (-1.3210284466e+01) * rollDeg [deg]^2 * invGap
+ (+4.7007171607e+04) * rollDeg [deg] * invGap^2
+ (-3.3555302551e+02) * invGap^3
+ (-1.4305035722e-04) * currL [A]^4
+ (-1.6602474226e-05) * currL [A]^3 * currR [A]
+ (-1.2886823540e-04) * currL [A]^3 * rollDeg [deg]
+ (+6.0143039665e-03) * currL [A]^3 * invGap
+ (+1.2951511025e-05) * currL [A]^2 * currR [A]^2
+ (-5.1776437670e-04) * currL [A]^2 * currR [A] * rollDeg [deg]
+ (-3.8569371878e-02) * currL [A]^2 * currR [A] * invGap
+ (+5.2166822420e-03) * currL [A]^2 * rollDeg [deg]^2
+ (-6.2117182881e-01) * currL [A]^2 * rollDeg [deg] * invGap
+ (+9.0620919904e+01) * currL [A]^2 * invGap^2
+ (+1.3270592660e-06) * currL [A] * currR [A]^3
+ (-5.1776417343e-04) * currL [A] * currR [A]^2 * rollDeg [deg]
+ (+4.2265553856e-02) * currL [A] * currR [A]^2 * invGap
+ (-2.2041148798e-04) * currL [A] * currR [A] * rollDeg [deg]^2
+ (+2.4509139646e-01) * currL [A] * currR [A] * rollDeg [deg] * invGap
+ (-4.9160159525e+00) * currL [A] * currR [A] * invGap^2
+ (-1.7295894521e-01) * currL [A] * rollDeg [deg]^3
+ (-6.7494817486e+00) * currL [A] * rollDeg [deg]^2 * invGap
+ (-8.6427297569e+02) * currL [A] * rollDeg [deg] * invGap^2
+ (+8.5965909925e+03) * currL [A] * invGap^3
+ (-1.6550913550e-05) * currR [A]^4
+ (-1.2886821877e-04) * currR [A]^3 * rollDeg [deg]
+ (-3.0326211668e-02) * currR [A]^3 * invGap
+ (-5.1175783571e-03) * currR [A]^2 * rollDeg [deg]^2
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