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FEMM/fkn/prob4big.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 Log log
// #define NEWTON
// since all node positions were converted to units of cm
// the proper LengthConv is converts centimeters to meters
#define LengthConv 0.01
void CFemmeDocCore::GetPrevAxiB(int k, double &B1p, double &B2p)
{
// for axisymmetric incremental problem,
// get flux density from the previous solution.
// Code cribbed from CFemmviewDoc::GetElementB(CElement &elm) in femm source
int i,n[3];
double b[3],c[3],da;
double v[6],dp,dq;
double R[3],Z[3],r;
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;
for(i=0,r=0;i<3;i++){
R[i]=meshnode[n[i]].x;
Z[i]=meshnode[n[i]].y;
r+=R[i]/3.;
}
// corner nodes
v[0]=Aprev[n[0]];
v[2]=Aprev[n[1]];
v[4]=Aprev[n[2]];
// construct values for mid-side nodes;
if ((R[0]<1.e-06) && (R[1]<1.e-06)) v[1]=(v[0]+v[2])/2.;
else v[1]=(R[1]*(3.*v[0] + v[2]) + R[0]*(v[0] + 3.*v[2]))/
(4.*(R[0] + R[1]));
if ((R[1]<1.e-06) && (R[2]<1.e-06)) v[3]=(v[2]+v[4])/2.;
else v[3]=(R[2]*(3.*v[2] + v[4]) + R[1]*(v[2] + 3.*v[4]))/
(4.*(R[1] + R[2]));
if ((R[2]<1.e-06) && (R[0]<1.e-06)) v[5]=(v[4]+v[0])/2.;
else v[5]=(R[0]*(3.*v[4] + v[0]) + R[2]*(v[4] + 3.*v[0]))/
(4.*(R[2] + R[0]));
// derivatives w.r.t. p and q:
dp=(-v[0] + v[2] + 4.*v[3] - 4.*v[5])/3.;
dq=(-v[0] - 4.*v[1] + 4.*v[3] + v[4])/3.;
// now, compute flux.
da=(b[0]*c[1]-b[1]*c[0]);
da*=2.*PI*r*LengthConv*LengthConv;
B1p=Re(-(c[1]*dp+c[2]*dq)/da);
B2p=Re( (b[1]*dp+b[2]*dq)/da);
}
BOOL CFemmeDocCore::HarmonicAxisymmetric(CBigComplexLinProb &L)
{
int i,j,k,s,flag,ww,Iter=0;
int pctr;
CComplex Mx[3][3],My[3][3],Mxy[3][3],Mn[3][3],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,R,rn[3],g[3],a_hat,R_hat,vol,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;
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
extRo*=units[LengthUnits];
extRi*=units[LengthUnits];
extZo*=units[LengthUnits];
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 / R over the circuit;
CircInt2[labellist[El->lbl].InCircuit]+=a*Cduct/(0.01*r);
// 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++)
{
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*PI/180.);
Mu[k][1]=blockproplist[k].mu_y*exp(-I*blockproplist[k].Theta_hy*PI/180.);
if(blockproplist[k].Lam_d!=0){
if (blockproplist[k].Cduct != 0){
halflag=exp(-I*blockproplist[k].Theta_hx*PI/360.);
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*PI/360.);
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();
// 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;
Mn[j][k]=0;
// #ifdef NEWTON
if (ACSolver==1){
Mnh[j][k]=0;
Mna[j][k]=0;
Mns[j][k]=0;
}
// #endif
}
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];
rn[k]=meshnode[n[k]].x;
}
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;
g[0]=(meshnode[n[2]].x + meshnode[n[1]].x)/2.;
g[1]=(meshnode[n[0]].x + meshnode[n[2]].x)/2.;
g[2]=(meshnode[n[1]].x + meshnode[n[0]].x)/2.;
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.;
R=(meshnode[n[0]].x+meshnode[n[1]].x+meshnode[n[2]].x)/3.;
for(j=0,a_hat=0;j<3;j++) a_hat+=(rn[j]*rn[j]*p[j]/(4.*R));
vol=2.*R*a_hat;
for(j=0,flag=0;j<3;j++) if(rn[j]<1.e-06) flag++;
switch(flag)
{
case 2:
R_hat=R;
break;
case 1:
if(rn[0]<1.e-06){
if (fabs(rn[1]-rn[2])<1.e-06) R_hat=rn[2]/2.;
else R_hat=(rn[1] - rn[2])/(2.*log(rn[1]) - 2.*log(rn[2]));
}
if(rn[1]<1.e-06){
if (fabs(rn[2]-rn[0])<1.e-06) R_hat=rn[0]/2.;
else R_hat=(rn[2] - rn[0])/(2.*log(rn[2]) - 2.*log(rn[0]));
}
if(rn[2]<1.e-06){
if (fabs(rn[0]-rn[1])<1.e-06) R_hat=rn[1]/2.;
else R_hat=(rn[0] - rn[1])/(2.*log(rn[0]) - 2.*log(rn[1]));
}
break;
default:
if (fabs(q[0])<1.e-06)
R_hat=(q[1]*q[1])/(2.*(-q[1] + rn[0]*log(rn[0]/rn[2])));
else if (fabs(q[1])<1.e-06)
R_hat=(q[2]*q[2])/(2.*(-q[2] + rn[1]*log(rn[1]/rn[0])));
else if (fabs(q[2])<1.e-06)
R_hat=(q[0]*q[0])/(2.*(-q[0] + rn[2]*log(rn[2]/rn[1])));
else
R_hat=-(q[0]*q[1]*q[2])/
(2.*(q[0]*rn[0]*log(rn[0]) +
q[1]*rn[1]*log(rn[1]) +
q[2]*rn[2]*log(rn[2])));
break;
}
// Mr Contribution
// Derived from flux formulation with c0 + c1 r^2 + c2 z
// interpolation in the element.
K=(-1./(2.*a_hat*R));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
Mx[j][k] += K*p[j]*rn[j]*p[k]*rn[k];
// need this loop to avoid singularities. This just puts something
// on the main diagonal of nodes that are on the r=0 line.
// The program later sets these nodes to zero, but it's good to
// for scaling reasons to grab entries from the neighboring diagonals
// rather than just setting these entries to 1 or something....
for(j=0;j<3;j++)
if (rn[j]<1.e-06) Mx[j][j]+=Mx[0][0]+Mx[1][1]+Mx[2][2];
// Mz Contribution;
// Derived from flux formulation with c0 + c1 r^2 + c2 z
// interpolation in the element.
K=(-1./(2.*a_hat*R_hat));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
My[j][k] += K*(q[j]*rn[j])*(q[k]*rn[k])*(g[j]/R)*(g[k]/R);
// Mrz Contribution;
// Derived from flux formulation with c0 + c1 r^2 + c2 z
// interpolation in the element.
K=(-1./(2.*a_hat*R_hat));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
// My[j][k] += K * ((q[j]*rn[j])*(g[j]/R)) * ((q[k]*rn[k])*(g[k]/R));
// Mx[j][j] += K * (p[j]*rn[j]) * (p[k]*rn[k]);
Mxy[j][k] += K*((q[j]*rn[j])*(g[j]/R))*(p[k]*rn[k]) + K*((q[k]*rn[k])*(g[k]/R))*(p[j]*rn[j]);
// Fill out rest of entries of Mx, My and Mxy;
Mx[1][0] =Mx[0][1]; Mx[2][0] =Mx[0][2]; Mx[2][1] =Mx[1][2];
My[1][0] =My[0][1]; My[2][0] =My[0][2]; My[2][1] =My[1][2];
Mxy[1][0]=Mxy[0][1]; Mxy[2][0]=Mxy[0][2]; Mxy[2][1]=Mxy[1][2];
// contribution from eddy currents;
// induced current interpolated as constant (avg. of nodal values)
// over the entire element;
K = -I*R*a*w*blockproplist[meshele[i].blk].Cduct*c/6.;
// radially 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=0;k<3;k++)
Me[j][k]+=K*4./3.;
// contributions to Me, be from derivative boundary conditions;
for(j=0;j<3;j++){
k=j+1; if(k==3) k=0;
r=(meshnode[n[j]].x+meshnode[n[k]].x)/2.;
if (El->e[j] >= 0){
if (lineproplist[El->e[j]].BdryFormat==2)
{
// conversion factor is 10^(-4) (I think...)
K = -0.0001*c*2.*r*lineproplist[ El->e[j] ].c0*l[j]/6.;
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.)*2.*r*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*=(2.*r*l[j]/6.);
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=-100.*circproplist[k].dV*
blockproplist[El->blk].Cduct/R;
}
K=-2.*R*(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/R;
}
}
// do Case 2 circuit stuff for element
if(labellist[El->lbl].InCircuit>=0){
k=labellist[El->lbl].InCircuit;
if(circproplist[k].Case==2){
K=-2.*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/R,NumNodes+k,NumNodes+k);
}
}
/////////////////////////
//
// 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) LinearFlag=FALSE;
else{
double B1p,B2p;
// Get B from previous solution
GetPrevAxiB(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))
{
// Derive B directly from energy;
v[0]=0;v[1]=0;v[2]=0;
for(j=0;j<3;j++)
for(ww=0;ww<3;ww++)
v[j]+=(Mx[j][ww]+My[j][ww])*L.V[n[ww]];
for(j=0,dv=0;j<3;j++) dv+=conj(L.V[n[j]])*v[j];
dv*=(10000.*c*c/vol);
B=sqrt(abs(dv));
// #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 iteration
K=-200.*c*c*c*dv/vol;
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;
}
// "Warp" the permeability of this element if part of
// the conformally mapped external region
if((labellist[meshele[i].lbl].IsExternal) && (Iter==0))
{
double Z=(meshnode[n[0]].y+meshnode[n[1]].y+meshnode[n[2]].y)/3. - extZo;
double kludge=(R*R+Z*Z)*extRi/(extRo*extRo*extRo);
meshele[i].mu1/=kludge;
meshele[i].mu2/=kludge;
}
// 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]);
//#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){
r=meshnode[i].x;
K = (2.*r*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]+=2.*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].x<(units[LengthUnits]*1.e-06)){
K=0;
L.SetValue(i,K);
}
else 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);
// convert answer back to webers
for (i=0;i<NumNodes;i++) L.b[i]=L.V[i]*c*2.*PI*meshnode[i].x*0.01;
for (i=0;i<NumCircProps;i++)
L.b[NumNodes+i]=(I*w*c*0.01*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;
}
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