public void calc()
{
int len = Barray.Length;
// table phid-fz
Vector <double> Fz_vector = mybuilder.Dense(len, i => Harray[i] * lz);
Vector <double> phid_Fz_vector = mybuilder.Dense(len, i => Barray[i] * Sz + Fz_vector[i] * Pslot);
// table phid-fy
Vector <double> Fy_vector = mybuilder.Dense(len, i => Harray[i] * ly);
Vector <double> phid_Fy_vector = mybuilder.Dense(len, i => Barray[i] * Sy);
// reshape phid-fy, using interpolation to create new vector corresponding with phid_fy = phid_fz
Vector <double> phid_vector = mybuilder.DenseOfVector(phid_Fz_vector);//same phid table for all
LinearSpline ls = LinearSpline.Interpolate(phid_Fy_vector.ToArray(), Fy_vector.ToArray());
Vector <double> eqvFy_vector = mybuilder.Dense(len, i => ls.Interpolate(phid_vector[i]));
// table f_phid
Vector <double> f_phid = mybuilder.Dense(len, i => phid_vector[i] / Pd + Fz_vector[i] + eqvFy_vector[i] - (phiR - phiHFe - phid_vector[i]) / (PM + PFe + Pb));
// calc phiD
ls = LinearSpline.Interpolate(f_phid.ToArray(), phid_vector.ToArray());
phiD = ls.Interpolate(0);
FM = (phiR - phiHFe - phiD) / (PM + PFe + Pb);
phib = FM * Pb;
phiFe = phiHFe + FM * PFe;
phiM = phiD + phib + phiFe;
ls = LinearSpline.Interpolate(phid_vector.ToArray(), Fz_vector.ToArray());
Fz = ls.Interpolate(phiD);
ls = LinearSpline.Interpolate(phid_vector.ToArray(), eqvFy_vector.ToArray());
Fy = ls.Interpolate(phiD);
}
private static Vector <double> Euler(string assignmentPath, double tmax, double T, Vector <double> start,
Matrix <double> A,
Matrix <double> B, Func <double, double> r, bool verbose = false, bool saveToFile = false)
{
Console.WriteLine($"\nEULER(tmax: {tmax}, T: {T}, start: [{string.Join(' ', start.ToArray())}])");
var time = new List <double> {
0.0
};
var data = new List <Vector <double> > {
start
};
var pendulumData = new List <Vector <double> > {
start
};
var x = VectorBuilder.DenseOfVector(start);
var cumulativeError = VectorBuilder.Dense(A.RowCount);
for (var t = T; t <= tmax; t += T)
{
var pendulum = Generator.GeneratePendulum(start, t);
x += T * (A * x + B * VectorBuilder.Dense(new[] { r(t - T), r(t - T) }));
cumulativeError += Vector <double> .Abs(x - pendulum);
if (verbose)
{
Console.WriteLine(
$"t: {t:F2} -- x: [{string.Join(' ', x.ToArray())}] -- pendulum: {string.Join(' ', pendulum.ToArray())}]");
}
data.Add(x);
pendulumData.Add(pendulum);
time.Add(t);
}
Console.WriteLine($"Cumulative error: [{string.Join(' ', cumulativeError.ToArray())}]");
if (saveToFile)
{
FileHelper.WriteToFile(time, data, assignmentPath, pendulumData);
}
return(x);
}
public override void RunAnalysis()
{
int len = Barray.Length;
// table phid-fz
Vector <double> Fz_vector = mybuilder.Dense(len, i => Harray[i] * lz);
Vector <double> phid_Fz_vector = mybuilder.Dense(len, i => Barray[i] * Sz + Fz_vector[i] * Pslot);
// table phid-fy
Vector <double> Fy_vector = mybuilder.Dense(len, i => Harray[i] * ly);
Vector <double> phid_Fy_vector = mybuilder.Dense(len, i => Barray[i] * Sy);
// reshape phid-fy, using interpolation to create new vector corresponding with phid_fy = phid_fz
Vector <double> phid_vector = mybuilder.DenseOfVector(phid_Fz_vector);//same phid table for all
LinearSpline ls = LinearSpline.Interpolate(phid_Fy_vector.ToArray(), Fy_vector.ToArray());
Vector <double> eqvFy_vector = mybuilder.Dense(len, i => ls.Interpolate(phid_vector[i]));
// table f_phid
Vector <double> f_phid = mybuilder.Dense(len, i => phid_vector[i] / Pd + Fz_vector[i] + eqvFy_vector[i] - (phiR - phiHFe - phid_vector[i]) / (PM + PFe + Pb));
var Results = new PMAnalyticalResults();
Results.Analyser = this;
this.Results = Results;
// calc phiD
ls = LinearSpline.Interpolate(f_phid.ToArray(), phid_vector.ToArray());
double phiD = ls.Interpolate(0);
double FM = (phiR - phiHFe - phiD) / (PM + PFe + Pb);
double phib = FM * Pb;
double phiFe = phiHFe + FM * PFe;
double phiM = phiD + phib + phiFe;
ls = LinearSpline.Interpolate(phid_vector.ToArray(), Fz_vector.ToArray());
double Fz = ls.Interpolate(phiD);
ls = LinearSpline.Interpolate(phid_vector.ToArray(), eqvFy_vector.ToArray());
double Fy = ls.Interpolate(phiD);
double Bdelta = phiD / (L * wd * 1e-6);
double BM = phiM / (L * wm * 1e-6);
double HM = FM / (lm * 1e-3);
double pc = phiM / (PM * FM);
double Bz = phiD / Sz;
double By = phiD / Sy;
double Vz = Sz * lz;
double Vy = Sy * ly;
double ro_ = 7800;//kg/m^3 - specific weight
double kPMz = 1.3 * Bz * Bz * ro_ * Vz;
double kPMy = 1.3 * By * By * ro_ * Vy;
Results.kPMz = kPMz;
Results.kPMy = kPMy;
// assign results
Results.phiD = phiD;
Results.Bdelta = Bdelta;
Results.phiM = phiM;
Results.BM = BM;
Results.FM = FM;
Results.HM = HM;
Results.pc = pc;
Results.phib = phib;
Results.phiFe = phiFe;
Results.Fz = Fz;
Results.Fy = Fy;
Results.Bz = Bz;
Results.By = By;
Results.wd = wd;
Results.gammaM = gammaM;
int q = Q / 3 / p / 2;
double kp = Math.Sin(Math.PI / (2 * 3)) / (q * Math.Sin(Math.PI / (2 * 3 * q)));
//Results.psiM = phiD * Nstrand * p * q * kp /*4 / Math.PI * Math.Sin(gammaM / 2 * Math.PI / 180)*/;
// Ld, Lq
//double In = 3;//Ampe whatever
//double Fmm = q * kp * Nstrand * In;
//double phidelta = (Fmm) / (1 / PMd + Fz / phiD + Fy / phiD) / 2;//2time,PMd=PM+Pdelta
//double psi = phidelta * q * kp * Nstrand;
//double LL = p * psi / In;
//Results.LL = LL;
//Results.Ld = 1.5 * LL;//M=-1/2L
//phidelta = (Fmm) / (1 / PMq + Fz / phiD + Fy / phiD) / 2;//
//psi = phidelta * q * kp * Nstrand;
//LL = p * psi / In;
//Results.Lq = 1.5 * LL;
// Resistant
Stator3Phase stator = Motor.Stator as Stator3Phase;
Results.R = stator.resistancePhase;
double delta2 = delta * 1.1;
double ns = 4 / Math.PI * kp * stator.NStrands * q;
double dmin = delta2;
double alphaM = Motor.Rotor is VPMRotor ? (Motor.Rotor as VPMRotor).alphaM : 180;
//double dmax = delta2 + lm / Math.Sin(alphaM);
double dmax = delta2 + Constants.mu_0 * L * wd * 1e-3 * (1 / (PM + PFe + Pb) + Fy / phiD + Fz / phiD);//* wd / wm2 * ((VPMRotor)Motor.Rotor).mu_M;
//double dmax = L * wd * 1e-3 * Constants.mu_0 / PMd;
//double dmin2 = 1 / Math.PI * ((180 - gammaM) * dmin + gammaM * dmax) * Math.PI / 180 - 2 / Math.PI * Math.Sin(gammaM * Math.PI / 180) * (dmax - dmin);
//double dmax2 = 1 / Math.PI * ((180 - gammaM) * dmin + gammaM * dmax) * Math.PI / 180 + 2 / Math.PI * Math.Sin(gammaM * Math.PI / 180) * (dmax - dmin);
//double a1 = 0.5 * (1 / dmin2 + 1 / dmax2) * 1e3;
//double a2 = 0.5 * (1 / dmin2 - 1 / dmax2) * 1e3;
//double a1 = 0.5 * (dmin + dmax) / (dmin * dmax) * 1e3;
//double a2 = 0.5 * (dmax - dmin) / (dmin * dmax) * 1e3;
// test override
double gm = gammaM * Math.PI / 180;
double a1 = 1 / Math.PI * (gm / dmax + (Math.PI - gm) / dmin) * 1e3;
double a2 = -2 / Math.PI * Math.Sin(gm) * (1 / dmax - 1 / dmin) * 1e3;
double L1 = (ns / 2) * (ns / 2) * Math.PI * Motor.Rotor.RGap * Motor.GeneralParams.MotorLength * 1e-6 * a1 * 4 * Math.PI * 1e-7;
double L2 = 0.5 * (ns / 2) * (ns / 2) * Math.PI * Motor.Rotor.RGap * Motor.GeneralParams.MotorLength * 1e-6 * a2 * 4 * Math.PI * 1e-7;
Results.dmin = dmin;
Results.dmax = dmax;
Results.L1 = L1;
Results.L2 = L2;
Results.Ld = 1.5 * (L1 - L2);
Results.Lq = 1.5 * (L1 + L2);
double psim = 2 * Math.Sin(gammaM * Math.PI / 180 / 2) * ns * Bdelta * Motor.Rotor.RGap * Motor.GeneralParams.MotorLength * 1e-6;
Results.psiM = psim;
// current demagnetizing
//Results.Ikm = 2 * phiR / PM / (kp * Nstrand * q); //old
double hck = Motor.Rotor is VPMRotor ? (Motor.Rotor as VPMRotor).Hck : 0;
Results.Ikm = Math.PI * (hck - HM) * lm * 1e-3 / (2 * q * Nstrand * kp);
dataValid = (Results.Ld > 0 && Results.Lq > 0 && Results.psiM >= 0 && gm > 0);
}
