56 lines
2.8 KiB
Mathematica
56 lines
2.8 KiB
Mathematica
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function ddh=func_ddh(Volt,Init_Y,Busnum,Y,UAngel,r,c,YAngle,Loadi,ContrlCount)
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%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѭ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>д
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%ContrlCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)+Busnum*2;
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%AngleIJ=AngleIJMat-angle(GB);
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mat_AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-YAngle,Busnum*3,Busnum*3);
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mat_INV_AngleIJ=mat_AngleIJ';
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yP=Init_Y(1:size(Init_Y,2)/2);%<EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> 20111227
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yQ=Init_Y(size(Init_Y,2)/2+1:size(Init_Y,2));%<EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> 20111227
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t1=-sparse(1:Busnum*3,1:Busnum*3,Y.*cos(mat_INV_AngleIJ)*sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3)*yP',Busnum*3,Busnum*3);
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t2=sparse(1:Busnum*3,1:Busnum*3,sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3)*yP',Busnum*3,Busnum*3)*Y.*cos(mat_AngleIJ);
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t3=(t1+t2)*sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3);
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t4=-(sparse(1:Busnum*3,1:Busnum*3,Y.*cos(mat_AngleIJ)*Volt,Busnum*3,Busnum*3) -sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3)*Y.*cos(mat_INV_AngleIJ) )*sparse(1:Busnum*3,1:Busnum*3,sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3)*yP',Busnum*3,Busnum*3);
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ddPdTdT=t3+t4;%ok1
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t1=(-sparse(1:Busnum*3,1:Busnum*3,Y.*sin(mat_AngleIJ)*Volt,Busnum*3,Busnum*3)+sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3)*Y.*sin(mat_INV_AngleIJ) )*sparse(1:Busnum*3,1:Busnum*3,yP,Busnum*3,Busnum*3);
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t2= -sparse(1:Busnum*3,1:Busnum*3, sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3)*yP' ,Busnum*3,Busnum*3)*Y.*sin(mat_AngleIJ)+sparse(1:Busnum*3,1:Busnum*3,Y.*sin(mat_INV_AngleIJ)*sparse(1:Busnum*3,1:Busnum*3,Volt,Busnum*3,Busnum*3)*yP',Busnum*3,Busnum*3);
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ddPdVdT=t1+t2;%ok1
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t1=diag( Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yP');
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t2=diag(yP)*Y.*sin(mat_AngleIJ)*diag(Volt);
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t3=-diag(yP)*diag(Y.*sin(mat_AngleIJ)*Volt);
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t4=-Y.*sin(mat_INV_AngleIJ)*diag( diag(Volt)*yP' );
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ddPdTdV=t1+t2+t3+t4;%<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ҵIJ<EFBFBD>һ<EFBFBD><EFBFBD>
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t1=Y.*cos(mat_INV_AngleIJ)*diag(yP);
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t2=diag(yP)*Y.*cos(mat_AngleIJ);
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ddPdVdV=t1+t2;
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t1=-diag(Y.*sin(mat_AngleIJ)*Volt);
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t2=diag(Volt)*Y.*sin(mat_INV_AngleIJ);
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t3=(t1+t2)*diag( diag(Volt)*yQ' );
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t4=-diag( diag(Volt)*yQ' )*Y.*sin(mat_AngleIJ);
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t5=diag(Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yQ');
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t6=-(t4+t5)*diag(Volt);
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ddQdTdT=t3+t6;%ok1
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t1=(diag(Y.*cos(mat_AngleIJ)*Volt)-diag(Volt)*Y.*cos(mat_INV_AngleIJ) )*diag(yQ);
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t2=+diag( diag(Volt)*yQ' )*Y.*cos(mat_AngleIJ)-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yQ');
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ddQdVdT=t1+t2;
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t1=Y.*cos(mat_INV_AngleIJ)*diag(diag(Volt)*yQ');
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t2=diag(yQ)*diag(Y.*cos(mat_AngleIJ)*Volt);
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t3=-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yQ');
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t4=-diag(yQ)*Y.*cos(mat_AngleIJ)*diag(Volt);
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ddQdTdV=t1+t2+t3+t4;
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t1=Y.*sin(mat_INV_AngleIJ)*diag(yQ);
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t2=diag(yQ)*Y.*sin(mat_AngleIJ);
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ddQdVdV=t1+t2;
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% t=[ddPdVdV+ddQdVdV,ddPdTdV+ddQdTdV;
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% ddPdVdT+ddQdVdT,ddPdTdT+ddQdTdT;
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% ];
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t=[ddPdVdV+ddQdVdV,ddPdVdT+ddQdVdT;
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ddPdTdV+ddQdTdV,ddPdTdT+ddQdTdT;
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];
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sizeLoadi=size(Loadi,1)*2;
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ddh=[
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sparse(sizeLoadi,ContrlCount);
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sparse(2*Busnum*3,sizeLoadi),-t;
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];
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end
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