{"source":"Electric Motor Temperature, W. Kirchgaessner, O. Wallscheid, J. Boecker, Paderborn University, Kaggle 2021, DOI 10.34740/KAGGLE/DSV/2161054","license":"CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Adapted: profiles 4 and 60, every 20th sample, rounded; NAI-fnet's estimates added. This file is shared under the same 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0.327·(log(⟨T_sw⟩74m·√(T_st)))   (inside exp)","− 0.000222·(hinge(⟨i_q⟩74m − 108.2))   (inside exp)","+ 5.2e-06·(√(⟨T_sw⟩18m·hinge(⟨Sn⟩33m)))   (inside exp)","+ 0.0048·(⟨i_d⟩33m)   (inside exp)","− 0.0382·(√(⟨T_sw⟩18m/T_sy))   (inside exp)","+ 0.000253·(⟨|i|⟩74m)   (inside exp)","+ 0.0179·(hinge(23.95 − ⟨T_a⟩4m))   (inside exp)","− 0.00552·(⟨u_q⟩18m)   (inside exp)","+ 0.121·(log(⟨|u|⟩74m))   (inside exp)","+ 1.22e-07·(⟨|i|n⟩4m)   (inside exp)","− 0.911·(⟨T_a⟩18m)   (inside exp)","+ 0.00205·(hinge(⟨T_c⟩4m − 33.79))   (inside exp)","+ 0.00256·(⟨T_c⟩18m)   (inside exp)","− 4.39e-11·(⟨Sn⟩33m·⟨T_sw⟩74m)   (inside exp)","+ 0.000423·(√(⟨S⟩33m))   (inside exp)","+ 0.000428·(hinge(⟨i_q⟩33m))   (inside exp)","− 7.93e-05·(hinge(46.88 − ⟨T_sw⟩74m)·⟨i_d⟩33m)   (inside exp)","+ 0.235·(√(⟨T_sw⟩33m/√(T_st)))   (inside exp)","− 0.028·(√(⟨|i|⟩74m))   (inside exp)","+ 0.000856·(hinge(⟨u_q⟩33m − 83.1))   (inside exp)","+ 0.00109·(⟨|i|⟩4m)   (inside exp)","+ 0.72·(√(⟨T_c⟩33m))   (inside exp)","+ 0.000159·(⟨n⟩18m)   (inside exp)","+ 0.000211·(⟨|u|⟩18m)   (inside exp)","− 5.23e-12·(⟨Sn⟩18m·√(hinge(⟨|i|n⟩33m)))   (inside exp)","+ 1.55e-09·(⟨Sn⟩33m·log(⟨T_sw⟩4m))   (inside exp)","− 0.000128·(hinge(1014 − ⟨n⟩74m))   (inside exp)","− 0.000578·(√(hinge(⟨Sn⟩33m))/⟨T_sw⟩18m)   (inside exp)","− 0.0842·(log(⟨|u|⟩33m))   (inside exp)","− 0.00733·(√(hinge(T_sw − ⟨T_sw⟩33m)))   (inside exp)","− 0.0163·(log(⟨|u|⟩4m))   (inside exp)","− 0.00255·(⟨u_q⟩74m)   (inside exp)","− 6.01e-06·(⟨S⟩33m)   (inside exp)","− 0.00052·(T_c)   (inside exp)","− 0.0322·(⟨T_c⟩33m)   (inside exp)","− 1.18·(log(⟨T_c⟩33m))   (inside exp)","+ 23.5·(log(⟨T_a⟩18m))   (inside exp)","+ 1.63·(⟨T_a⟩33m)   (inside exp)","− 16.4·(√(⟨T_a⟩33m))   (inside exp)","+ 0.0337·(√(⟨|u|⟩18m))   (inside exp)","+ 0.00195·(hinge(⟨u_q⟩74m − 48.95))   (inside exp)","+ 0.00269·(⟨T_sw⟩74m)   (inside exp)","− 0.000896·(√(⟨S⟩4m))   (inside exp)","+ 0.000934·(⟨|u|⟩4m)   (inside exp)","− 0.000679·(⟨u_q⟩4m)   (inside exp)","− 0.00113·(T_sw)   (inside exp)","− 6.53e-06·(√(hinge(⟨Sn⟩33m − ⟨Sn⟩18m)))   (inside exp)"],"best":47},"code":{"bytes":86816,"ns":1107,"lines":["#include <math.h>","","/* part of the model: its neurons, as formulas */","static double fnet_core0(const double x[67]) {","    double s = (double)-9.3459909262975387;","    s += (double)0.3268895265459682 * log((x[66] * sqrt(x[61])));","    s += (double)-0.00022201042355905927 * fnet_hinge_d((x[53] - (double)108.20337255637283));","    s += (double)5.1978517536303937e-06 * sqrt((x[64] * fnet_hinge_d(x[47])));","    s += (double)0.0047992597335040597 * x[40];","    s += (double)-0.038247153035775576 * sqrt((x[64] / x[60]));","    s += (double)0.00025302460479705605 * x[56];","    s += (double)0.017906997187552436 * fnet_hinge_d(((double)23.948339096228988 - x[12]));","    s += (double)-0.0055154533481170812 * x[27];","    s += (double)0.12076788428164634 * log(x[55]);","    s += (double)1.2215231630497056e-07 * x[22];","    s += (double)-0.91104026047872799 * x[24];","    s += (double)0.0020494114736141896 * fnet_hinge_d((x[13] - (double)33.79146245089553));","    s += (double)0.0025634772281229183 * x[25];","    s += (double)-4.386350417024372e-11 * (x[47] * x[66]);","    s += (double)0.00042320617219025335 * sqrt(x[45]);","    s += (double)0.00042827255945843547 * fnet_hinge_d(x[41]);","    s += (double)-7.9272951070532695e-05 * (fnet_hinge_d(((double)46.883239192518175 - x[66])) * x[40]);","    s += (double)0.23540987416159548 * sqrt((x[65] / sqrt(x[61])));","    s += (double)-0.028040564302581776 * sqrt(x[56]);","    s += (double)0.0008557234103396716 * fnet_hinge_d((x[39] - (double)83.09539078635656));","    s += (double)0.0010889847294517732 * x[20];","    s += (double)0.72021140376870396 * sqrt(x[37]);","    s += (double)0.00015856175557530145 * x[30];","    s += (double)0.00021135906584720211 * x[31];","    s += (double)-5.2322964003584473e-12 * (x[35] * sqrt(fnet_hinge_d(x[46])));","    s += (double)1.5515026641034355e-09 * (x[47] * log(x[63]));","    s += (double)-0.00012845634306290544 * fnet_hinge_d(((double)1013.5111197639634 - x[54]));","    s += (double)-0.00057754140272591836 * (sqrt(fnet_hinge_d(x[47])) / x[64]);","    s += (double)-0.084172613263967994 * log(x[43]);","    s += (double)-0.0073336391141484636 * sqrt(fnet_hinge_d((x[62] - x[65])));","    s += (double)-0.016295178473065056 * log(x[19]);","    s += (double)-0.002552867269899054 * x[51];","    s += (double)-6.0095185336288424e-06 * x[45];","    s += (double)-0.00052025559304287583 * x[1];","    s += (double)-0.032188216325551133 * x[37];","    s += (double)-1.180629311932424 * log(x[37]);","    s += (double)23.501645241605743 * log(x[24]);","    s += (double)1.6277540309220764 * x[36];","    /* ... */","}","","/* ... the rest of the model ... */","","FNET_REAL fnet_predict(const FNET_REAL xin[]);","FNET_REAL fnet_predict(const FNET_REAL xin[]) { /* ... */ }"]},"text":{"record":{"title":"1 · Record","body":"On the test bench a telemetry unit reads four sensors on the spinning magnets; a production motor has none. The bench logs it with what the inverter always has: currents, voltages, speed, the coolant and three thermistors in the stator. 66 recorded drives, every 30 s: <b>21,149 rows</b>, 67 inputs (the signals and their moving averages)."},"train":{"title":"2 · Train","body":"On a PC, NAI-fnet grows a network for the magnets' temperature. Each neuron is a short formula over the signals and their averages over 4 to 74 minutes, the motor's thermal memory. Growth stops at <b>47 neurons</b>."},"flash":{"title":"3 · Flash","body":"The model becomes plain C: <b>86,816 bytes</b>, about 1,107 ns a prediction. It goes into the inverter's controller, which already keeps the moving averages."},"run":{"title":"4 · Run","body":"A two-hour drive the model has never seen. Without a model the inverter knows only the stator: here it is off the magnets by <b>23.0 K</b> on average. The chip's estimate is off by <b>1.22 K</b>: the drive can use the motor to its limit and derate only when the magnets really heat up."},"status":{"record":"recording · a test-bench drive · {t} h","train":"training on a PC · the recorded rows only","flash":"writing the C code into the inverter","run":"running · test drive 60 (never seen) · {t} h","unit":"h","scale":100}}}