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FEMM/fkn/prob2big.cpp

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#include"stdafx.h"
#include<stdio.h>
#include<math.h>
#include "fkn.h"
#include "fknDlg.h"
#include "complex.h"
#include "mesh.h"
#include "spars.h"
#include "FemmeDocCore.h"
// #define NEWTON
// since all node positions were converted to units of cm
// the proper LengthConv is converts centimeters to meters
#define LengthConv 0.01
double Power(double x, int y);
void CFemmeDocCore::GetPrev2DB(int k, double &B1p, double &B2p)
{
int i,n[3];
double b[3],c[3],da;
for(i=0;i<3;i++) n[i]=meshele[k].p[i];
b[0]=meshnode[n[1]].y - meshnode[n[2]].y;
b[1]=meshnode[n[2]].y - meshnode[n[0]].y;
b[2]=meshnode[n[0]].y - meshnode[n[1]].y;
c[0]=meshnode[n[2]].x - meshnode[n[1]].x;
c[1]=meshnode[n[0]].x - meshnode[n[2]].x;
c[2]=meshnode[n[1]].x - meshnode[n[0]].x;
da=(b[0]*c[1]-b[1]*c[0]);
B1p=0;
B2p=0;
for(i=0;i<3;i++)
{
B1p+=Aprev[n[i]]*c[i]/(da*LengthConv);
B2p-=Aprev[n[i]]*b[i]/(da*LengthConv);
}
}
BOOL CFemmeDocCore::Harmonic2D(CBigComplexLinProb &L)
{
int i,j,k,ww,s,pctr;
CComplex Mx[3][3],My[3][3],Mxy[3][3];
CComplex Me[3][3],be[3]; // element matrices;
double l[3],p[3],q[3]; // element shape parameters;
int n[3]; // numbers of nodes for a particular element;
double a,r,t,x,y,B,w,res,lastres,ds,Cduct;
CComplex K,mu,dv,B1,B2,v[3],u[3],mu1,mu2,lag,halflag,deg45,Jv;
CComplex **Mu,*V_old;
double c=PI*4.e-05;
double units[]={2.54,0.1,1.,100.,0.00254,1.e-04};
CElement *El;
int Iter=0;
BOOL LinearFlag=TRUE;
BOOL bIncremental=FALSE;
if (PrevSoln.GetLength()>0) bIncremental=TRUE;
res=0;
// #ifndef NEWTON
CComplex murel,muinc;
// #else;
CComplex Mnh[3][3];
CComplex Mna[3][3];
CComplex Mns[3][3];
// #endif
CComplex Mn[3][3];
deg45=1+I;
w=Frequency*2.*PI;
CComplex *CircInt1,*CircInt2,*CircInt3;
// Can't handle LamType==1 or LamType==2 in AC problems.
// Detect if this is being attempted.
for(i=0;i<NumEls;i++)
{
if( (blockproplist[meshele[i].blk].LamType==1) ||
(blockproplist[meshele[i].blk].LamType==2) ){
MsgBox("On-edge lamination not supported in AC analyses");
return FALSE;
}
}
// Go through and evaluate permeability for regions subject to prox effects
for(i=0;i<NumBlockLabels;i++) GetFillFactor(i);
V_old=(CComplex *) calloc(NumNodes+NumCircProps,sizeof(CComplex));
// check to see if any circuits have been defined and process them;
if (NumCircProps>0)
{
CircInt1=(CComplex *)calloc(NumCircProps,sizeof(CComplex));
CircInt2=(CComplex *)calloc(NumCircProps,sizeof(CComplex));
CircInt3=(CComplex *)calloc(NumCircProps,sizeof(CComplex));
for(i=0;i<NumEls;i++){
if(meshele[i].lbl>=0)
if(labellist[meshele[i].lbl].InCircuit!=-1){
El=&meshele[i];
// get element area;
for(k=0;k<3;k++) n[k]=El->p[k];
p[0]=meshnode[n[1]].y - meshnode[n[2]].y;
p[1]=meshnode[n[2]].y - meshnode[n[0]].y;
p[2]=meshnode[n[0]].y - meshnode[n[1]].y;
q[0]=meshnode[n[2]].x - meshnode[n[1]].x;
q[1]=meshnode[n[0]].x - meshnode[n[2]].x;
q[2]=meshnode[n[1]].x - meshnode[n[0]].x;
a=(p[0]*q[1]-p[1]*q[0])/2.;
// r=(meshnode[n[0]].x+meshnode[n[1]].x+meshnode[n[2]].x)/3.;
// if coils are wound, they act like they have
// a zero "bulk" conductivity...
Cduct=blockproplist[El->blk].Cduct;
if (labellist[El->lbl].bIsWound) Cduct=0;
// evaluate integrals;
// total cross-section of circuit;
CircInt1[labellist[El->lbl].InCircuit]+=a;
// integral of conductivity over the circuit;
CircInt2[labellist[El->lbl].InCircuit]+=a*Cduct;
// integral of applied J over current;
CircInt3[labellist[El->lbl].InCircuit]+=
(blockproplist[El->blk].Jr+I*blockproplist[El->blk].Ji)*a*100.;
}
}
for(i=0;i<NumCircProps;i++)
{
// Case 0 :: a priori known voltage gradient is applied to the region;
// Case 1 :: flat current density is applied to the region;
// Case 2 :: voltage gradient applied to the region, but we gotta solve for it...
if (circproplist[i].CircType==0) // specified current
{
if(CircInt2[i]==0){ //circuit composed of zero cond. materials
circproplist[i].Case=1;
if (CircInt1[i]==0.) circproplist[i].J=0.;
else circproplist[i].J=0.01*(
(circproplist[i].Amps_re+I*circproplist[i].Amps_im) -
CircInt3[i])/CircInt1[i];
}
else{
circproplist[i].Case=2; // need to include an extra
// entry in matrix to solve for
// voltage grad in the circuit
}
}
else{
// case where voltage gradient is specified a priori...
circproplist[i].Case=0;
circproplist[i].dV=circproplist[i].dVolts_re +
I*circproplist[i].dVolts_im;
}
}
}
// compute effective permeability for each block type;
Mu=(CComplex **)calloc(NumBlockProps,sizeof(CComplex *));
for(i=0;i<NumBlockProps;i++) Mu[i]=(CComplex *)calloc(2,sizeof(CComplex));
for(k=0;k<NumBlockProps;k++){
if (blockproplist[k].LamType==0){
Mu[k][0]=blockproplist[k].mu_x*exp(-I*blockproplist[k].Theta_hx*DEG);
Mu[k][1]=blockproplist[k].mu_y*exp(-I*blockproplist[k].Theta_hy*DEG);
if(blockproplist[k].Lam_d!=0){
if (blockproplist[k].Cduct != 0){
halflag=exp(-I*blockproplist[k].Theta_hx*DEG/2.);
ds=sqrt(2./(0.4*PI*w*blockproplist[k].Cduct*blockproplist[k].mu_x));
K=halflag*deg45*blockproplist[k].Lam_d*0.001/(2.*ds);
Mu[k][0]=((Mu[k][0]*tanh(K))/K)*blockproplist[k].LamFill +
(1.- blockproplist[k].LamFill);
halflag=exp(-I*blockproplist[k].Theta_hy*DEG/2.);
ds=sqrt(2./(0.4*PI*w*blockproplist[k].Cduct*blockproplist[k].mu_y));
K=halflag*deg45*blockproplist[k].Lam_d*0.001/(2.*ds);
Mu[k][1]=((Mu[k][1]*tanh(K))/K)*blockproplist[k].LamFill +
(1. - blockproplist[k].LamFill);
}
else{
Mu[k][0]=Mu[k][0]*blockproplist[k].LamFill +
(1.- blockproplist[k].LamFill);
Mu[k][1]=Mu[k][1]*blockproplist[k].LamFill +
(1. - blockproplist[k].LamFill);
}
}
}
else{
Mu[k][0]=1;
Mu[k][1]=1;
}
}
do{
TheView->SetDlgItemText(IDC_FRAME1,"Matrix Construction");
TheView->m_prog1.SetPos(0);
pctr=0;
if(Iter>0) L.Wipe();
// first, tack in air gap element contributions
for(i=0;i<NumAGEs;i++)
{
double K,Ki;
double MG[10][10];
double ci,co;
int nn[10];
double ww[10];
// K = dr/(R*dtta)
K=2.*(agelist[i].ro-agelist[i].ri)/
((PI/180.)*(agelist[i].totalArcLength/agelist[i].totalArcElements)*
(agelist[i].ro+agelist[i].ri));
Ki=1./K;
ci=agelist[i].InnerShift;
co=agelist[i].OuterShift;
if (ci>co)
{
ci=ci-co;
co=0;
}
else{
ci=1-co+ci;
co=1;
}
// build the element matrix for each quad element in the annulus (same for each element)
// matrix for quad element derived from serendipity element
MG[0][0] = (5*Power (-1 + ci,2)*Power (ci,4)*(K + Ki))/48.;
MG[0][1] = -((-1 + ci)*Power (ci,3)*(5*(-1 + ci*(-5 + 4*ci))*K + (-5 + ci*(-19 + 14*ci))*Ki))/48.;
MG[0][2] = ((-1 + ci)*Power (ci,2)*(5*(2 + ci*(-1 - 9*ci + 6*Power (ci,2)))*K + (10 + ci*(1 + 3*ci*(-7 + 4*ci)))*Ki))/48.;
MG[0][3] = -(Power (-1 + ci,2)*Power (ci,2)*(5*(-2 + ci*(-3 + 4*ci))*K + (2 + ci*(-3 + 2*ci))*Ki))/48.;
MG[0][4] = (Power (-1 + ci,3)*Power (ci,3)*(5*K - Ki))/48.;
MG[0][5] = ((-1 + ci)*Power (ci,2)*(-1 + co)*Power (co,2)*(K - 5*Ki))/48.;
MG[0][6] = -((-1 + ci)*Power (ci,2)*co*((-1 + co*(-5 + 4*co))*K + (5 + (19 - 14*co)*co)*Ki))/48.;
MG[0][7] = ((-1 + ci)*Power (ci,2)*((2 + co*(-1 - 9*co + 6*Power (co,2)))*K - (10 + co*(1 + 3*co*(-7 + 4*co)))*Ki))/48.;
MG[0][8] = -((-1 + ci)*Power (ci,2)*(-1 + co)*((-2 + co*(-3 + 4*co))*K + (-2 + (3 - 2*co)*co)*Ki))/48.;
MG[0][9] = ((-1 + ci)*Power (ci,2)*Power (-1 + co,2)*co*(K + Ki))/48.;
MG[1][1] = (Power (ci,2)*(5*Power (1 + (5 - 4*ci)*ci,2)*K + (5 + ci*(38 + ci*(49 + 4*ci*(-29 + 11*ci))))*Ki))/48.;
MG[1][2] = (-5*ci*(-1 + 2*ci)*(-2 + 3*(-1 + ci)*ci)*(-1 + ci*(-5 + 4*ci))*K + ci*(10 + ci*(39 - ci*(50 + ci*(85 + 6*ci*(-23 + 8*ci)))))*Ki)/48.;
MG[1][3] = ((-1 + ci)*ci*(5*(2 + ci*(13 + ci*(3 + 16*(-2 + ci)*ci)))*K + (-2 + 5*ci*(1 + ci*(3 + 4*(-2 + ci)*ci)))*Ki))/48.;
MG[1][4] = -(Power (-1 + ci,2)*Power (ci,2)*(5*(-1 + ci*(-5 + 4*ci))*K + Ki + ci*(-1 + 2*ci)*Ki))/48.;
MG[1][5] = -(ci*(-1 + co)*Power (co,2)*((-1 + ci*(-5 + 4*ci))*K + (5 + (19 - 14*ci)*ci)*Ki))/48.;
MG[1][6] = (ci*co*((-1 + ci*(-5 + 4*ci))*(-1 + co*(-5 + 4*co))*K + (-5 + ci*(-19 + 14*ci) - 19*co + ci*(-77 + 58*ci)*co + 2*(7 + (29 - 22*ci)*ci)*Power (co,2))*Ki))/48.;
MG[1][7] = (-(ci*(-1 + ci*(-5 + 4*ci))*(2 + co*(-1 - 9*co + 6*Power (co,2)))*K) + ci*(-10 + co*(-1 + 3*(7 - 4*co)*co) + ci*(-38 + co + 99*Power (co,2) - 60*Power (co,3)) + Power (ci,2)*(28 + 2*co*(-1 + 3*co*(-13 + 8*co))))*Ki)/48.;
MG[1][8] = (ci*(-1 + co)*((-1 + ci*(-5 + 4*ci))*(-2 + co*(-3 + 4*co))*K + (2 + co*(-3 + 2*co) + Power (ci,2)*(4 + 2*(9 - 10*co)*co) + ci*(-2 + co*(-21 + 22*co)))*Ki))/48.;
MG[1][9] = -(ci*Power (-1 + co,2)*co*((-1 + ci*(-5 + 4*ci))*K + (-1 + ci - 2*Power (ci,2))*Ki))/48.;
MG[2][2] = (5*Power (-2 + ci + 9*Power (ci,2) - 6*Power (ci,3),2)*K + (20 + (-1 + ci)*ci*(-4 + 3*(-1 + ci)*ci*(-25 + 24*(-1 + ci)*ci)))*Ki)/48.;
MG[2][3] = (-5*(4 + Power (ci,2)*(-33 + ci*(18 + ci*(65 + 6*ci*(-13 + 4*ci)))))*K + (4 + Power (ci,2)*(39 - ci*(30 + ci*(115 + 6*ci*(-25 + 8*ci)))))*Ki)/48.;
MG[2][4] = (Power (-1 + ci,2)*ci*(5*(2 + ci*(-1 - 9*ci + 6*Power (ci,2)))*K + (-2 + ci*(-5 + 3*ci*(-5 + 4*ci)))*Ki))/48.;
MG[2][5] = ((-1 + co)*Power (co,2)*((2 + ci*(-1 - 9*ci + 6*Power (ci,2)))*K - (10 + ci*(1 + 3*ci*(-7 + 4*ci)))*Ki))/48.;
MG[2][6] = (-((2 + ci*(-1 - 9*ci + 6*Power (ci,2)))*co*(-1 + co*(-5 + 4*co))*K) + co*(-10 - 38*co + 28*Power (co,2) + Power (ci,2)*(21 + 99*co - 78*Power (co,2)) + ci*(-1 + co - 2*Power (co,2)) + 12*Power (ci,3)*(-1 + co*(-5 + 4*co)))*Ki)/48.;
MG[2][7] = ((2 + ci*(-1 - 9*ci + 6*Power (ci,2)))*(2 + co*(-1 - 9*co + 6*Power (co,2)))*K - (2*(10 + co) + 6*Power (co,2)*(-7 + 4*co) + 3*Power (ci,2)*(-14 + co*(5 + (55 - 36*co)*co)) + ci*(2 + co*(5 + 3*(5 - 4*co)*co)) + 12*Power (ci,3)*(2 + co*(-1 - 9*co + 6*Power (co,2))))*Ki)/48.;
MG[2][8] = (-((2 + ci*(-1 - 9*ci + 6*Power (ci,2)))*(2 + co - 7*Power (co,2) + 4*Power (co,3))*K) + (-1 + co)*(4 + 2*ci*(5 + 3*(5 - 4*ci)*ci) + 3*(-2 + ci*(3 + (17 - 12*ci)*ci))*co + 2*(2 + ci*(-7 + 3*ci*(-11 + 8*ci)))*Power (co,2))*Ki)/48.;
MG[2][9] = (Power (-1 + co,2)*co*((2 + ci*(-1 - 9*ci + 6*Power (ci,2)))*K + (2 + ci*(5 + 3*(5 - 4*ci)*ci))*Ki))/48.;
MG[3][3] = (Power (-1 + ci,2)*(5*Power (2 + (3 - 4*ci)*ci,2)*K + (20 + ci*(36 + ci*(-35 - 60*ci + 44*Power (ci,2))))*Ki))/48.;
MG[3][4] = -(Power (-1 + ci,3)*ci*(5*(-2 + ci*(-3 + 4*ci))*K + (-10 + ci*(-9 + 14*ci))*Ki))/48.;
MG[3][5] = -((-1 + ci)*(-1 + co)*Power (co,2)*((-2 + ci*(-3 + 4*ci))*K + (-2 + (3 - 2*ci)*ci)*Ki))/48.;
MG[3][6] = ((-1 + ci)*co*((-2 + ci*(-3 + 4*ci))*(-1 + co*(-5 + 4*co))*K + (2 + ci*(-3 + 2*ci) - 2*co + ci*(-21 + 22*ci)*co + 2*(2 + (9 - 10*ci)*ci)*Power (co,2))*Ki))/48.;
MG[3][7] = (-((2 + ci - 7*Power (ci,2) + 4*Power (ci,3))*(2 + co*(-1 - 9*co + 6*Power (co,2)))*K) + (-1 + ci)*(4 + 2*co*(5 + 3*(5 - 4*co)*co) + ci*(-6 + 3*co*(3 + (17 - 12*co)*co)) + 2*Power (ci,2)*(2 + co*(-7 + 3*co*(-11 + 8*co))))*Ki)/48.;
MG[3][8] = ((-1 + ci)*(-1 + co)*((-2 + ci*(-3 + 4*ci))*(-2 + co*(-3 + 4*co))*K + (-20 + 3*ci*(1 + 2*co)*(-6 + 5*co) + 2*co*(-9 + 14*co) + Power (ci,2)*(28 + 30*co - 44*Power (co,2)))*Ki))/48.;
MG[3][9] = -((-1 + ci)*Power (-1 + co,2)*co*((-2 + ci*(-3 + 4*ci))*K + (10 + (9 - 14*ci)*ci)*Ki))/48.;
MG[4][4] = (5*Power (-1 + ci,4)*Power (ci,2)*(K + Ki))/48.;
MG[4][5] = (Power (-1 + ci,2)*ci*(-1 + co)*Power (co,2)*(K + Ki))/48.;
MG[4][6] = -(Power (-1 + ci,2)*ci*co*((-1 + co*(-5 + 4*co))*K + (-1 + co - 2*Power (co,2))*Ki))/48.;
MG[4][7] = (Power (-1 + ci,2)*ci*((2 + co*(-1 - 9*co + 6*Power (co,2)))*K + (2 + co*(5 + 3*(5 - 4*co)*co))*Ki))/48.;
MG[4][8] = -(Power (-1 + ci,2)*ci*(-1 + co)*((-2 + co*(-3 + 4*co))*K + (10 + (9 - 14*co)*co)*Ki))/48.;
MG[4][9] = (Power (-1 + ci,2)*ci*Power (-1 + co,2)*co*(K - 5*Ki))/48.;
MG[5][5] = (5*Power (-1 + co,2)*Power (co,4)*(K + Ki))/48.;
MG[5][6] = -((-1 + co)*Power (co,3)*(5*(-1 + co*(-5 + 4*co))*K + (-5 + co*(-19 + 14*co))*Ki))/48.;
MG[5][7] = ((-1 + co)*Power (co,2)*(5*(2 + co*(-1 - 9*co + 6*Power (co,2)))*K + (10 + co*(1 + 3*co*(-7 + 4*co)))*Ki))/48.;
MG[5][8] = -(Power (-1 + co,2)*Power (co,2)*(5*(-2 + co*(-3 + 4*co))*K + (2 + co*(-3 + 2*co))*Ki))/48.;
MG[5][9] = (Power (-1 + co,3)*Power (co,3)*(5*K - Ki))/48.;
MG[6][6] = (Power (co,2)*(5*Power (1 + (5 - 4*co)*co,2)*K + (5 + co*(38 + co*(49 + 4*co*(-29 + 11*co))))*Ki))/48.;
MG[6][7] = (-5*co*(-1 + 2*co)*(-2 + 3*(-1 + co)*co)*(-1 + co*(-5 + 4*co))*K + co*(10 + co*(39 - co*(50 + co*(85 + 6*co*(-23 + 8*co)))))*Ki)/48.;
MG[6][8] = ((-1 + co)*co*(5*(2 + co*(13 + co*(3 + 16*(-2 + co)*co)))*K + (-2 + 5*co*(1 + co*(3 + 4*(-2 + co)*co)))*Ki))/48.;
MG[6][9] = -(Power (-1 + co,2)*Power (co,2)*(5*(-1 + co*(-5 + 4*co))*K + Ki + co*(-1 + 2*co)*Ki))/48.;
MG[7][7] = (5*Power (-2 + co + 9*Power (co,2) - 6*Power (co,3),2)*K + (20 + (-1 + co)*co*(-4 + 3*(-1 + co)*co*(-25 + 24*(-1 + co)*co)))*Ki)/48.;
MG[7][8] = (-5*(4 + Power (co,2)*(-33 + co*(18 + co*(65 + 6*co*(-13 + 4*co)))))*K + (4 + Power (co,2)*(39 - co*(30 + co*(115 + 6*co*(-25 + 8*co)))))*Ki)/48.;
MG[7][9] = (Power (-1 + co,2)*co*(5*(2 + co*(-1 - 9*co + 6*Power (co,2)))*K + (-2 + co*(-5 + 3*co*(-5 + 4*co)))*Ki))/48.;
MG[8][8] = (Power (-1 + co,2)*(5*Power (2 + (3 - 4*co)*co,2)*K + (20 + co*(36 + co*(-35 - 60*co + 44*Power (co,2))))*Ki))/48.;
MG[8][9] = -(Power (-1 + co,3)*co*(5*(-2 + co*(-3 + 4*co))*K + (-10 + co*(-9 + 14*co))*Ki))/48.;
MG[9][9] = (5*Power (-1 + co,4)*Power (co,2)*(K + Ki))/48.;
// Add each annulus element to the global stiffness matrix
for(k=0;k<agelist[i].totalArcElements;k++)
{
// inner nodes
if ((k-1)<0){
nn[0]=agelist[i].node[agelist[i].totalArcElements-1].n0;
ww[0]=agelist[i].node[agelist[i].totalArcElements-1].w0;
}
else{
nn[0]=agelist[i].node[k-1].n0;
ww[0]=agelist[i].node[k-1].w0;
}
nn[1]=agelist[i].node[k].n0;
nn[2]=agelist[i].node[k].n1;
nn[3]=agelist[i].node[k+1].n1;
ww[1]=agelist[i].node[k].w0;
ww[2]=agelist[i].node[k].w1;
ww[3]=agelist[i].node[k+1].w1;
if((k+2)>agelist[i].totalArcElements){
nn[4]=agelist[i].node[1].n1;
ww[4]=agelist[i].node[1].w1;
}
else{
nn[4]=agelist[i].node[k+2].n1;
ww[4]=agelist[i].node[k+2].w1;
}
// outer nodes
if ((k-1)<0){
nn[5]=agelist[i].node[agelist[i].totalArcElements-1].n2;
ww[5]=agelist[i].node[agelist[i].totalArcElements-1].w2;
}
else{
nn[5]=agelist[i].node[k-1].n2;
ww[5]=agelist[i].node[k-1].w2;
}
nn[6]=agelist[i].node[k].n2;
nn[7]=agelist[i].node[k].n3;
nn[8]=agelist[i].node[k+1].n3;
ww[6]=agelist[i].node[k].w2;
ww[7]=agelist[i].node[k].w3;
ww[8]=agelist[i].node[k+1].w3;
if((k+2)>agelist[i].totalArcElements){
nn[9]=agelist[i].node[1].n3;
ww[9]=agelist[i].node[1].w3;
}
else{
nn[9]=agelist[i].node[k+2].n3;
ww[9]=agelist[i].node[k+2].w3;
}
// fix antiperiodic weights...
if ((k==0) && (agelist[i].BdryFormat==1))
{
ww[0]=-ww[0];
ww[5]=-ww[5];
}
if ((k==agelist[i].totalArcElements) && (agelist[i].BdryFormat==1))
{
ww[4]=-ww[4];
ww[9]=-ww[9];
}
// scale by weight to get periodic/antiperiodic right
for(int ii=0;ii<10;ii++)
for(int jj=ii;jj<10;jj++)
L.AddTo(-MG[ii][jj]*ww[ii]*ww[jj],nn[ii],nn[jj]); //needs different sign than prob1big version
}
}
// build element matrices using the matrices derived in Allaire's book.
for(i=0;i<NumEls;i++){
// update ``building matrix'' progress bar...
j=(i*20)/NumEls+1;
if(j>pctr){
j=pctr*5; if (j>100) j=100;
TheView->m_prog1.SetPos(j);
pctr++;
}
// zero out Me, be;
for(j=0;j<3;j++){
for(k=0;k<3;k++)
{
Me[j][k]=0;
Mx[j][k]=0;
My[j][k]=0;
Mxy[j][k]=0;
//#ifdef NEWTON
if (ACSolver==1)
{
Mnh[j][k]=0;
Mna[j][k]=0;
Mns[j][k]=0;
}
//#endif
Mn[j][k]=0;
}
be[j]=0;
}
// Determine shape parameters.
// l == element side lengths;
// p corresponds to the `b' parameter in Allaire
// q corresponds to the `c' parameter in Allaire
El=&meshele[i];
for(k=0;k<3;k++) n[k]=El->p[k];
p[0]=meshnode[n[1]].y - meshnode[n[2]].y;
p[1]=meshnode[n[2]].y - meshnode[n[0]].y;
p[2]=meshnode[n[0]].y - meshnode[n[1]].y;
q[0]=meshnode[n[2]].x - meshnode[n[1]].x;
q[1]=meshnode[n[0]].x - meshnode[n[2]].x;
q[2]=meshnode[n[1]].x - meshnode[n[0]].x;
for(j=0,k=1;j<3;k++,j++){
if (k==3) k=0;
l[j]=sqrt( pow(meshnode[n[k]].x-meshnode[n[j]].x,2.) +
pow(meshnode[n[k]].y-meshnode[n[j]].y,2.) );
}
a=(p[0]*q[1]-p[1]*q[0])/2.;
// x-contribution;
K = (-1./(4.*a));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
{
Mx[j][k] += K*p[j]*p[k];
if (j!=k) Mx[k][j]+=K*p[j]*p[k];
}
// y-contribution;
K = (-1./(4.*a));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
{
My[j][k] +=K*q[j]*q[k];
if (j!=k) My[k][j]+=K*q[j]*q[k];
}
// xy-contribution;
K = (-1./(4.*a));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
{
Mxy[j][k] += K*(p[j]*q[k] + p[k]*q[j]);
if (j!=k) Mxy[k][j] += K*(p[j]*q[k] + p[k]*q[j]);
}
// contribution from eddy currents;
K=-I*a*w*blockproplist[meshele[i].blk].Cduct*c/12.;
// in-plane laminated blocks appear to have no conductivity;
// eddy currents are accounted for in these elements by their
// frequency-dependent permeability.
if((blockproplist[El->blk].LamType==0) &&
(blockproplist[El->blk].Lam_d>0)) K=0;
// if this element is part of a wound coil,
// it should have a zero "bulk" conductivity...
if(labellist[El->lbl].bIsWound) K=0;
for(j=0;j<3;j++)
{
for(k=j;k<3;k++){
Me[j][k]+=K;
Me[k][j]+=K;
}
}
// contributions to Me, be from derivative boundary conditions;
for(j=0;j<3;j++){
if (El->e[j] >= 0)
{
if (lineproplist[El->e[j]].BdryFormat==2)
{
// conversion factor is 10^(-4) (I think...)
K=(-0.0001*c*lineproplist[ El->e[j] ].c0*l[j]/6.);
k=j+1; if(k==3) k=0;
Me[j][j]+=2*K;
Me[k][k]+=2*K;
Me[j][k]+=K;
Me[k][j]+=K;
K=(lineproplist[ El->e[j] ].c1*l[j]/2.)*0.0001;
be[j]+=K;
be[k]+=K;
}
if (lineproplist[El->e[j]].BdryFormat==1)
{
ds=sqrt(2./(0.4*PI*w*lineproplist[El->e[j]].Sig*
lineproplist[El->e[j]].Mu));
K=deg45/(-ds*lineproplist[El->e[j]].Mu*100.);
K*=(l[j]/6.);
k=j+1; if(k==3) k=0;
Me[j][j]+=2*K;
Me[k][k]+=2*K;
Me[j][k]+=K;
Me[k][j]+=K;
}
}
}
// contribution to be from current density in the block
for(j=0;j<3;j++){
Jv=0;
if(labellist[El->lbl].InCircuit>=0)
{
k=labellist[El->lbl].InCircuit;
if(circproplist[k].Case==1) Jv=circproplist[k].J;
if(circproplist[k].Case==0)
Jv=-circproplist[k].dV*blockproplist[El->blk].Cduct;
}
K=-(blockproplist[El->blk].Jr+I*blockproplist[El->blk].Ji+Jv)*a/3.;
be[j]+=K;
if(labellist[El->lbl].InCircuit>=0){
k=labellist[El->lbl].InCircuit;
if(circproplist[k].Case==2) L.b[NumNodes+k]+=K;
}
}
// do Case 2 circuit stuff for element
if(labellist[El->lbl].InCircuit>=0){
k=labellist[El->lbl].InCircuit;
if(circproplist[k].Case==2){
K=-I*a*w*blockproplist[meshele[i].blk].Cduct*c;
for(j=0;j<3;j++) L.Put(L.Get(n[j],NumNodes+k)+K/3.,n[j],NumNodes+k);
L.Put(L.Get(NumNodes+k,NumNodes+k)+K,NumNodes+k,NumNodes+k);
}
}
///////////////////////////////////////////////////////////////
//
// New Nonlinear stuff
//
///////////////////////////////////////////////////////////////
// update permeability for the element;
if (Iter==0){
k=meshele[i].blk;
meshele[i].mu1=Mu[k][0];
meshele[i].mu2=Mu[k][1];
meshele[i].v12=0;
if (blockproplist[k].BHpoints>0)
{
if (bIncremental==FALSE)
{
// There's no previous solution. This is a standard nonlinear time harmonic problem
LinearFlag=FALSE;
}
else{
double B1p,B2p;
// Get B from previous solution
GetPrev2DB(i,B1p,B2p);
B = sqrt(B1p*B1p + B2p*B2p);
// look up incremental permeability and assign it to the element;
blockproplist[k].IncrementalPermeability(B,w,muinc,murel);
if (B==0)
{
meshele[i].mu1=muinc;
meshele[i].mu2=muinc;
meshele[i].v12=0;
}
else{
// need to actually compute B1 and B2 to build incremental permeability tensor
meshele[i].mu1=B*B*muinc*murel/(B1p*B1p*murel + B2p*B2p*muinc);
meshele[i].mu2=B*B*muinc*murel/(B1p*B1p*muinc + B2p*B2p*murel);
meshele[i].v12=-B1p*B2p*(murel-muinc)/(B*B*murel*muinc);
}
}
}
}
else{
k=meshele[i].blk;
if ((blockproplist[k].LamType==0) &&
(meshele[i].mu1==meshele[i].mu2)
&&(blockproplist[k].BHpoints>0))
{
for(j=0,B1=0.,B2=0.;j<3;j++){
B1+=L.V[n[j]]*q[j];
B2+=L.V[n[j]]*p[j];
}
B=c*sqrt(abs(B1*conj(B1))+abs(B2*conj(B2)))/(0.02*a);
// correction for lengths in cm of 1/0.02
// #ifdef NEWTON
if(ACSolver==1){
// find out new mu from saturation curve;
blockproplist[k].GetBHProps(B,mu,dv);
mu=1./(muo*mu);
meshele[i].mu1=mu;
meshele[i].mu2=mu;
for(j=0;j<3;j++){
for(ww=0,v[j]=0;ww<3;ww++)
v[j]+=(Mx[j][ww]+My[j][ww])*L.V[n[ww]];
}
//Newton-like Iteration
//Comment out for successive approx
K=-200.*c*c*c*dv/a;
for(j=0;j<3;j++)
for(ww=0;ww<3;ww++)
{
// Still compute Mn, the approximate N-R matrix used in
// the complex-symmetric approx. This will be useful
// w.r.t. preconditioning. However, subtract it off of Mnh and Mna
// so that there is no net addition.
Mn[j][ww] =K*Re(v[j]*conj(v[ww]));
Mnh[j][ww]= 0.5*Re(K)*v[j]*conj(v[ww])-Re(Mn[j][ww]);
Mna[j][ww]=I*0.5*Im(K)*v[j]*conj(v[ww])-I*Im(Mn[j][ww]);
Mns[j][ww]= 0.5*K*v[j]*v[ww];
}
}
//#else
else{
// find out new mu from saturation curve;
murel=1./(muo*blockproplist[k].Get_v(B));
muinc=1./(muo*blockproplist[k].GetdHdB(B));
// successive approximation;
// K=muinc; // total incremental
// K=murel; // total updated
K=2.*murel*muinc/(murel+muinc); // averaged
meshele[i].mu1=K;
meshele[i].mu2=K;
K=-(1./murel - 1/K);
for(j=0;j<3;j++)
for(ww=0;ww<3;ww++)
Mn[j][ww]=K*(Mx[j][ww]+My[j][ww]);
}
//#endif
}
}
// Apply correction for elements subject to prox effects
if((blockproplist[meshele[i].blk].LamType>2) && (Iter==0))
{
meshele[i].mu1=labellist[meshele[i].lbl].ProximityMu;
meshele[i].mu2=labellist[meshele[i].lbl].ProximityMu;
}
// combine block matrices into global matrices;
for(j=0;j<3;j++)
for(k=0;k<3;k++){
// #ifdef NEWTON
if (ACSolver==1){
Me[j][k]+= (Mx[j][k]/(El->mu2) + My[j][k]/(El->mu1) + Mxy[j][k]*(El->v12) + Mn[j][k] );
be[j]+=(Mnh[j][k]+Mna[j][k]+Mn[j][k])*L.V[n[k]];
be[j]+=Mns[j][k]*L.V[n[k]].Conj();
}
// #else
else{
Me[j][k]+= (Mx[j][k]/(El->mu2) + My[j][k]/(El->mu1) + Mxy[j][k] * (El->v12));
be[j]+=Mn[j][k]*L.V[n[k]];
}
// #endif
}
for (j=0;j<3;j++){
for (k=j;k<3;k++)
{
// L.Put(L.Get(n[j],n[k]) + Me[j][k],n[j],n[k]);
L.AddTo(Me[j][k],n[j],n[k]);
//#ifdef NEWTON
if (ACSolver==1){
if (Mnh[j][k]!=0) L.Put(L.Get(n[j],n[k],1) + Mnh[j][k],n[j],n[k],1);
if (Mns[j][k]!=0) L.Put(L.Get(n[j],n[k],2) + Mns[j][k],n[j],n[k],2);
if (Mna[j][k]!=0) L.Put(L.Get(n[j],n[k],3) + Mna[j][k],n[j],n[k],3);
}
//#endif
}
L.b[n[j]]+=be[j];
}
}
// add in contribution from point currents;
for(i=0;i<NumNodes;i++)
if(meshnode[i].bc>=0){
K=0.01*(nodeproplist[meshnode[i].bc].Jr
+I*nodeproplist[meshnode[i].bc].Ji);
L.b[i]+=(-K);
}
// add in total current constraints for circuits;
for(i=0;i<NumCircProps;i++)
if (circproplist[i].Case==2){
L.b[NumNodes+i]+=0.01*(circproplist[i].Amps_re +
I*circproplist[i].Amps_im);
}
// apply fixed boundary conditions at points;
for(i=0;i<NumNodes;i++)
if(meshnode[i].bc >=0)
if((nodeproplist[meshnode[i].bc].Jr==0) &&
(nodeproplist[meshnode[i].bc].Ji==0))
{
K= (nodeproplist[meshnode[i].bc].Ar +
I*nodeproplist[meshnode[i].bc].Ai)/c;
L.SetValue(i,K);
}
// apply fixed boundary conditions along segments;
for(i=0;i<NumEls;i++)
for(j=0;j<3;j++){
k=j+1; if(k==3) k=0;
if(meshele[i].e[j]>=0)
if(lineproplist[ meshele[i].e[j] ].BdryFormat==0)
{
if(Coords==0){
// first point on the side;
x=meshnode[meshele[i].p[j]].x;
y=meshnode[meshele[i].p[j]].y;
x/=units[LengthUnits]; y/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + x*lineproplist[s].A1 +
y*lineproplist[s].A2;
K=(a/c)*exp(I*lineproplist[s].phi*DEG);
L.SetValue(meshele[i].p[j],K);
// second point on the side;
x=meshnode[meshele[i].p[k]].x;
y=meshnode[meshele[i].p[k]].y;
x/=units[LengthUnits]; y/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + x*lineproplist[s].A1 +
y*lineproplist[s].A2;
K=(a/c)*exp(I*lineproplist[s].phi*DEG);
L.SetValue(meshele[i].p[k],K);
}
else{
// first point on the side;
x=meshnode[meshele[i].p[j]].x;
y=meshnode[meshele[i].p[j]].y;
r=sqrt(x*x+y*y);
if ((x==0) && (y==0)) t=0;
else t=atan2(y,x)/DEG;
r/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + r*lineproplist[s].A1 +
t*lineproplist[s].A2;
K=(a/c)*exp(I*lineproplist[s].phi*DEG);
L.SetValue(meshele[i].p[j],K);
// second point on the side;
x=meshnode[meshele[i].p[k]].x;
y=meshnode[meshele[i].p[k]].y;
r=sqrt(x*x+y*y);
if((x==0) && (y==0)) t=0;
else t=atan2(y,x)/DEG;
r/=units[LengthUnits];
s=meshele[i].e[j];
a=lineproplist[s].A0 + r*lineproplist[s].A1 +
t*lineproplist[s].A2;
K=(a/c)*exp(I*lineproplist[s].phi*DEG);
L.SetValue(meshele[i].p[k],K);
}
}
}
// "fix" diagonal entries associated with circuits that have
// applied current or voltage that is known a priori
// so that solver doesn't throw a "singular" flag
for(j=0;j<NumCircProps;j++)
if (circproplist[j].Case<2) L.Put(L.Get(0,0),NumNodes+j,NumNodes+j);
for(k=0;k<NumPBCs;k++)
{
if (pbclist[k].t==0) L.Periodicity(pbclist[k].x,pbclist[k].y);
if (pbclist[k].t==1) L.AntiPeriodicity(pbclist[k].x,pbclist[k].y);
}
// solve the problem;
for(j=0;j<NumNodes+NumCircProps;j++) V_old[j]=L.V[j];
if (L.bNewton){
L.Precision=__min(1.e-4,0.001*res);
if (L.Precision<Precision) L.Precision=Precision;
}
if (L.PBCGSolveMod(Iter)==FALSE) return FALSE;
if (LinearFlag==FALSE){
for(j=0,x=0,y=0;j<NumNodes;j++){
x+=Re((L.V[j]-V_old[j])*conj(L.V[j]-V_old[j]));
y+=Re(L.V[j]*conj(L.V[j]));
}
if (y==0) LinearFlag=TRUE;
else{
lastres=res;
res=sqrt(x/y);
}
// relaxation if we need it
if(Iter>5)
{
if ((res>lastres) && (Relax>0.1)) Relax/=2.;
else Relax+= 0.1 * (1. - Relax);
for(j=0;j<NumNodes+NumCircProps;j++) L.V[j]=Relax*L.V[j]+(1.0-Relax)*V_old[j];
}
// report some results
char outstr[256];
// #ifdef NEWTON
if (ACSolver==1) sprintf(outstr,"Newton Iteration(%i) Relax=%.4g",Iter,Relax);
// #else
else sprintf(outstr,"Successive Approx(%i) Relax=%.4g",Iter,Relax);
// #endif
TheView->SetDlgItemText(IDC_FRAME2,outstr);
j=(int) (100.*log10(res)/(log10(Precision)+2.));
if (j>100) j=100;
TheView->m_prog2.SetPos(j);
}
// nonlinear iteration has to have a looser tolerance
// than the linear solver--otherwise, things can't ever
// converge. Arbitrarily choose 100*tolerance.
if((res<100.*Precision) && Iter>0) LinearFlag=TRUE;
Iter++;
} while(LinearFlag==FALSE);
for (i=0;i<NumNodes;i++) L.b[i]=(L.V[i]*c); // convert answer back to AMPS
for (i=0;i<NumCircProps;i++)
L.b[NumNodes+i]=(I*c*w*L.V[NumNodes+i]);
// free up space allocated in this routine
for(k=0;k<NumBlockProps;k++) free(Mu[k]);
free(Mu);
free(V_old);
if(NumCircProps>0){
free(CircInt1);
free(CircInt2);
free(CircInt3);
}
return TRUE;
}
BOOL CFemmeDocCore::WriteHarmonic2D(CBigComplexLinProb &L)
{
// write solution to disk;
char c[1024];
FILE *fp,*fz;
int i,k;
double cf;
double unitconv[]={2.54,0.1,1.,100.,0.00254,1.e-04};
// first, echo input .fem file to the .ans file;
sprintf(c,"%s.fem",PathName);
if((fz=fopen(c,"rt"))==NULL){
Sleep(500);
if((fz=fopen(c,"rt"))==NULL){
MsgBox("Couldn't open %s.fem\n",PathName);
return FALSE;
}
}
sprintf(c,"%s.ans",PathName);
if((fp=fopen(c,"wt"))==NULL){
Sleep(500);
if((fp=fopen(c,"wt"))==NULL){
MsgBox("Couldn't write to %s.ans\n",PathName);
return FALSE;
}
}
while(fgets(c,1024,fz)!=NULL) fputs(c,fp);
fclose(fz);
// then print out node, line, and element information
fprintf(fp,"[Solution]\n");
cf=unitconv[LengthUnits];
fprintf(fp,"%i\n",NumNodes);
for(i=0;i<NumNodes;i++)
{
fprintf(fp,"%.17g %.17g %.17g %.17g %i ",meshnode[i].x/cf,
meshnode[i].y/cf,L.b[i].re,L.b[i].im,meshnode[i].bc);
// include A from previous solution if this is an incremental permeability problem
if (Aprev!=NULL) fprintf(fp,"%.17g\n",Aprev[i]);
else fprintf(fp,"\n");
}
fprintf(fp,"%i\n",NumEls);
for(i=0;i<NumEls;i++)
{
fprintf(fp,"%i %i %i %i %i %i %i",
meshele[i].p[0],meshele[i].p[1],meshele[i].p[2],meshele[i].lbl,
meshele[i].e[0],meshele[i].e[1],meshele[i].e[2]);
// include J from previous problem if this is an incremental permeability problem
if (Aprev!=NULL) fprintf(fp," %.17g\n",meshele[i].Jprev);
else fprintf(fp,"\n");
}
/*
// print out circuit info
fprintf(fp,"%i\n",NumCircPropsOrig);
for(i=0;i<NumCircPropsOrig;i++){
if (circproplist[i].Case==0)
fprintf(fp,"0 %.17g %.17g\n",circproplist[i].dV.Re(),
circproplist[i].dV.Im());
if (circproplist[i].Case==1)
fprintf(fp,"1 %.17g %.17g\n",circproplist[i].J.Re(),
circproplist[i].J.Im());
if (circproplist[i].Case==2)
fprintf(fp,"0 %.17g %.17g\n",L.b[NumNodes+i].Re(),
L.b[NumNodes+i].Im());
}
*/
// print out circuit info on a blocklabel by blocklabel basis;
fprintf(fp,"%i\n",NumBlockLabels);
for(k=0;k<NumBlockLabels;k++){
i=labellist[k].InCircuit;
if(i<0) // if block not associated with any particular circuit
{
// print out some "dummy" propeties that say that
// there is a fixed additional current density,
// but that that additional current density is zero.
fprintf(fp,"1 0 0\n");
}
else{
if (circproplist[i].Case==0)
fprintf(fp,"0 %.17g %.17g\n",circproplist[i].dV.Re(),
circproplist[i].dV.Im());
if (circproplist[i].Case==1)
fprintf(fp,"1 %.17g %.17g\n",circproplist[i].J.Re(),
circproplist[i].J.Im());
if (circproplist[i].Case==2)
fprintf(fp,"0 %.17g %.17g\n",L.b[NumNodes+i].Re(),
L.b[NumNodes+i].Im());
}
}
// print out information on periodic boundary conditions
fprintf(fp,"%i\n",NumPBCs);
for(k=0;k<NumPBCs;k++) fprintf(fp,"%i %i %i\n",pbclist[k].x,pbclist[k].y,pbclist[k].t);
// print out air gap element info
fprintf(fp,"%i\n",NumAGEs);
for(i=0;i<NumAGEs;i++){
fprintf(fp,"%s",agelist[i].BdryName);
fprintf(fp,"%i %.17g %.17g %.17g %.17g %.17g %.17g %.17g %i %.17g %.17g\n",
agelist[i].BdryFormat,agelist[i].InnerAngle,agelist[i].OuterAngle,
agelist[i].ri,agelist[i].ro,agelist[i].totalArcLength,
agelist[i].agc.re,agelist[i].agc.im,agelist[i].totalArcElements,
agelist[i].InnerShift,agelist[i].OuterShift);
for(k=0;k<=agelist[i].totalArcElements;k++){
fprintf(fp,"%i %.17g %i %.17g %i %.17g %i %.17g\n",
agelist[i].node[k].n0, agelist[i].node[k].w0,
agelist[i].node[k].n1, agelist[i].node[k].w1,
agelist[i].node[k].n2, agelist[i].node[k].w2,
agelist[i].node[k].n3, agelist[i].node[k].w3);
}
}
fclose(fp);
return TRUE;
}
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