Add Lundin's geometry correction to the
inductance formula
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@ -10,6 +10,10 @@ Author: 1985 Thomas L. Quarles
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#include "ngspice/sperror.h"
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#include "ngspice/suffix.h"
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#define PI 3.141592654
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static double Lundin(double l, double csec);
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int
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INDsetup(SMPmatrix *matrix, GENmodel *inModel, CKTcircuit *ckt, int *states)
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/* load the inductor structure with those pointers needed later
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@ -56,8 +60,18 @@ INDsetup(SMPmatrix *matrix, GENmodel *inModel, CKTcircuit *ckt, int *states)
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* model->INDcsect) / model->INDlength;
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} else {
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model->INDspecInd = 0.0;
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}
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}
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/* Lundin's geometry correction factor */
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model->INDspecInd *= Lundin(model->INDlength, model->INDcsect);
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/*
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double kl = Lundin(model->INDlength, model->INDcsect);
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double Dl = model->INDlength / sqrt(model->INDcsect / PI) / 2.;
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fprintf(stdout, "Lundin's correction factor %f at l/D %f\n", kl, Dl);
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*/
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/* How many turns ? */
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if (!model->INDmIndGiven)
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model->INDmInd = model->INDmodNt * model->INDmodNt * model->INDspecInd;
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@ -118,3 +132,32 @@ INDunsetup(GENmodel *inModel, CKTcircuit *ckt)
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}
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return OK;
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}
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/* Calculates Nagaoka's coeff. using Lundin's handbook formula.
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D: W. Knight, https://g3ynh.info/zdocs/magnetics/Solenoids.pdf, p. 36 */
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static double Lundin(double l, double csec)
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{
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/* x = solenoid diam. / length */
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double num, den, kk, x, xx, xxxx;
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if (csec < 1e-12 || l < 1e-6)
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return 1;
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x = sqrt(csec / PI) * 2. / l;
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xx = x * x;
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xxxx = xx * xx;
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if (x < 1) {
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num = 1 + 0.383901 * xx + 0.017108 * xxxx;
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den = 1 + 0.258952 * xx;
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return num / den - 4 * x / (3 * PI);
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}
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else {
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num = (log(4 * x) - 0.5) * (1 + 0.383901 / xx + 0.017108 / xxxx);
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den = 1 + 0.258952 / xx;
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kk = 0.093842 / xx + 0.002029 / xxxx - 0.000801 / (xx * xxxx);
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return 2 * (num / den + kk) / (PI * x);
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}
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}
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