commit cb34aec845a0839ef71115063c2224b32ef7dd2d Author: facat Date: Tue May 22 11:33:21 2012 +0800 original.not modified. diff --git a/5sj.txt b/5sj.txt new file mode 100644 index 0000000..eae6681 --- /dev/null +++ b/5sj.txt @@ -0,0 +1,32 @@ +5 5 1. 50 .1 +1.e-5 2 +1 5 +0 +1 1 2 0.04 0.25 0.25 +2 1 3 0.1 0.35 0 +3 2 3 0.08 0.30 0.25 +0 +0 +1 2 4 0 0.015 1.05 1 1.06 +2 3 5 0 0.03 1.05 1 1.06 +0 +1 0 0 1.6 0.8 +2 0 0 2 1 +3 0 0 3.7 1.3 +4 5 0 0 0 +5 0 0 0 0 +0 +4 1.05 -3 3 +5 1.05 -2.1 5 +0 +4 1200.6485 200.4335 50.439 1 8 +5 1857.201 500.746 200.55 1 8 +0 +1 1 2 2 +2 1 3 0.65 +3 2 3 2 +4 2 4 6 +5 3 5 5 +0 +0 +0 \ No newline at end of file diff --git a/AssignXX.m b/AssignXX.m new file mode 100644 index 0000000..c9cee6a --- /dev/null +++ b/AssignXX.m @@ -0,0 +1,9 @@ +function [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX) +deltZ=XX(1:14); +deltL=XX(15:28); +deltW=XX(29:42); +deltU=XX(43:56); +deltX=XX(57:70); +deltY=XX(71:80); + +end \ No newline at end of file diff --git a/AssignXX1.asv b/AssignXX1.asv new file mode 100644 index 0000000..d32c420 --- /dev/null +++ b/AssignXX1.asv @@ -0,0 +1,23 @@ +function [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX1(XX,ContrlCount,RestraintCount,Busnum) +% deltX=XX(1:14); +% deltY=XX(15:24); +% deltZ=XX(25:38); +% deltW=XX(39:52); +% deltL=XX(53:66); +% deltU=XX(67:80); +k1=0; +k2=0; +deltX=XX(1:ContrlCount); +k1=ContrlCount+2*Busnum; +deltY=XX(ContrlCount+1:,k1); +k2=k1; +k1=k2+RestraintCount +deltZ=XX(k2+1,k1); +k2=k1; +k1=k2+RestraintCount; +deltW=XX(k2+1:k1); +k2=k1; +k1=k2+RestraintCount; +deltL=XX(53:66); +deltU=XX(67:80); +end \ No newline at end of file diff --git a/AssignXX1.m b/AssignXX1.m new file mode 100644 index 0000000..2ff0f36 --- /dev/null +++ b/AssignXX1.m @@ -0,0 +1,23 @@ +function [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX1(XX,ContrlCount,RestraintCount,Busnum) +% deltX=XX(1:14); +% deltY=XX(15:24); +% deltZ=XX(25:38); +% deltW=XX(39:52); +% deltL=XX(53:66); +% deltU=XX(67:80); +deltX=XX(1:ContrlCount); +k1=ContrlCount+2*Busnum; +deltY=XX(ContrlCount+1:k1); +k2=k1; +k1=k2+RestraintCount; +deltZ=XX(k2+1:k1); +k2=k1; +k1=k2+RestraintCount; +deltW=XX(k2+1:k1); +k2=k1; +k1=k2+RestraintCount; +deltL=XX(k2+1:k1); +k2=k1; +k1=k2+RestraintCount; +deltU=XX(k2+1:k1); +end \ No newline at end of file diff --git a/CalCost.m b/CalCost.m new file mode 100644 index 0000000..1975144 --- /dev/null +++ b/CalCost.m @@ -0,0 +1,13 @@ +function CalCost(GenC,PG,PGi) +cost=GenC(:,2).*PG(PGi).^2+GenC(:,3).*PG(PGi)+GenC(:,4); +% Org_PG=[5; +% 2.5794]; +% book_PG=[5.5056; +% 2.1568]; +% cost2=GenC(:,2).*Org_PG(1:2).^2+GenC(:,3).*Org_PG(1:2)+GenC(:,4); +% cost3=GenC(:,2).*book_PG(1:2).^2+GenC(:,3).*book_PG(1:2)+GenC(:,4); +fprintf('总花费为%f\n',sum(cost,1)); +% fprintf('PF总花费为%f\n',sum(cost2,1)); +% fprintf('书上OPF总花费为%f\n',sum(cost3,1)); +% fprintf('较书上减少费用为为%f\n',sum(cost3,1)-sum(cost,1)); +end \ No newline at end of file diff --git a/DrawGap.asv b/DrawGap.asv new file mode 100644 index 0000000..c9d0645 --- /dev/null +++ b/DrawGap.asv @@ -0,0 +1,6 @@ +function DrawGap(plotGap) +x=find(plotGap); +ts=size(x,2); + + +end \ No newline at end of file diff --git a/DrawGap.m b/DrawGap.m new file mode 100644 index 0000000..f8d8727 --- /dev/null +++ b/DrawGap.m @@ -0,0 +1,6 @@ +function DrawGap(plotGap) +x=find(plotGap); +ts=size(x,2); +plot(1:ts,plotGap(1:ts)); + +end \ No newline at end of file diff --git a/FormAA.asv b/FormAA.asv new file mode 100644 index 0000000..0d82338 --- /dev/null +++ b/FormAA.asv @@ -0,0 +1,12 @@ +function AA=FormAA(L_1Z,deltG,U_1W,Hcoma,deltH) +tOnes=eye(14); +tZeros=zeros(14); +AA=[ + tOnes,L_1Z,tZeros,tZeros,tZeros,zeros(14,10); + tZeros,tOnes,tZeros,tZeros,-deltG',zeros(14,10); + tZeros,tZeros,tOnes,U_1W,tZeros,zeros(14,10); + tZeros,tZeros,tZeros,tOnes,deltG,zeros(14,10); + tZeros,tZeros,tZeros,tZeros,Hcoma,deltH; + zeros(10,14),zeros(10,14),zeros(10,14),zeros(10,14),deltH',zeros(10,10); + ]; +end \ No newline at end of file diff --git a/FormAA.m b/FormAA.m new file mode 100644 index 0000000..4b4d6de --- /dev/null +++ b/FormAA.m @@ -0,0 +1,12 @@ +function AA=FormAA(L_1Z,deltG,U_1W,Hcoma,deltH) +tOnes=eye(14); +tZeros=zeros(14); +AA=[ + tOnes,L_1Z,tZeros,tZeros,tZeros,zeros(14,10); + tZeros,tOnes,tZeros,tZeros,-deltG',zeros(14,10); + tZeros,tZeros,tOnes,U_1W,tZeros,zeros(14,10); + tZeros,tZeros,tZeros,tOnes,deltG',zeros(14,10); + tZeros,tZeros,tZeros,tZeros,Hcoma,deltH; + zeros(10,14),zeros(10,14),zeros(10,14),zeros(10,14),deltH',zeros(10,10); + ]; +end \ No newline at end of file diff --git a/FormAA1.m b/FormAA1.m new file mode 100644 index 0000000..4db3351 --- /dev/null +++ b/FormAA1.m @@ -0,0 +1,17 @@ +function AA=FormAA1(deltG,deltdeltF,ddh,ddg,deltH,Init_L,Init_U,Init_W,Init_Z,Busnum,PVi,PGi,RestraintCount,Balance) +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +H=-deltdeltF+ddh;%+ddg; +AA=[ + H,deltH,deltG,deltG,zeros(ContrlCount,RestraintCount),zeros(ContrlCount,RestraintCount); + deltH',zeros(2*Busnum,2*Busnum),zeros(2*Busnum,RestraintCount),zeros(2*Busnum,RestraintCount),zeros(2*Busnum,RestraintCount),zeros(2*Busnum,RestraintCount); + deltG',zeros(RestraintCount,2*Busnum),zeros(RestraintCount,RestraintCount),zeros(RestraintCount,RestraintCount),-eye(RestraintCount,RestraintCount),zeros(RestraintCount,RestraintCount); + deltG',zeros(RestraintCount,2*Busnum),zeros(RestraintCount),zeros(RestraintCount),zeros(RestraintCount),eye(RestraintCount); + zeros(RestraintCount,ContrlCount),zeros(RestraintCount,2*Busnum),diag(Init_L),zeros(RestraintCount),diag(Init_Z),zeros(RestraintCount); + zeros(RestraintCount,ContrlCount),zeros(RestraintCount,2*Busnum),zeros(RestraintCount),diag(Init_U),zeros(RestraintCount),diag(Init_W); + ]; +%处理平衡节点 +t=size(PVi,1)+size(PGi,1); +AA(t+2*Balance-1,:)=0; +AA(:,t+2*Balance-1)=0; +AA(t+2*Balance-1,t+2*Balance-1)=1; +end \ No newline at end of file diff --git a/FormAlphaD.m b/FormAlphaD.m new file mode 100644 index 0000000..38816b9 --- /dev/null +++ b/FormAlphaD.m @@ -0,0 +1,9 @@ +function AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW) +tdeltZinx=find(deltZ<0); +tdeltWinx=find(deltW>0); +t1=-Init_Z(tdeltZinx)./deltZ(tdeltZinx)'; +t2=-Init_W(tdeltWinx)./deltW(tdeltWinx)'; +t3=[t1,t2]; +t4=min(t3); +AlphaD=0.9995*min([t4 1]); +end \ No newline at end of file diff --git a/FormAlphaP.asv b/FormAlphaP.asv new file mode 100644 index 0000000..3a8f5d9 --- /dev/null +++ b/FormAlphaP.asv @@ -0,0 +1,7 @@ +function AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU) +ti=deltL(delt) +t1=-Init_L./deltL'; +t2=-Init_U./deltU'; +t3=[t1,t2]; +t4=t3() +end \ No newline at end of file diff --git a/FormAlphaP.m b/FormAlphaP.m new file mode 100644 index 0000000..a5757cc --- /dev/null +++ b/FormAlphaP.m @@ -0,0 +1,9 @@ +function AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU) +tdeltLinx=find(deltL<0); +tdeltUinx=find(deltU<0); +t1=-Init_L(tdeltLinx)./deltL(tdeltLinx)'; +t2=-Init_U(tdeltUinx)./deltU(tdeltUinx)'; +t3=[t1,t2]; +t4=min(t3); +AlphaP=0.9995*min([t4 1]); +end \ No newline at end of file diff --git a/FormG.asv b/FormG.asv new file mode 100644 index 0000000..a334575 --- /dev/null +++ b/FormG.asv @@ -0,0 +1,26 @@ +function Mat_G=FormG(Volt,PVi,PG,GB,AngleIJMat,indexi,indexj) +t1=PG(PVi); +%GP=t1;%发电机P +GP=[4.5 4.5]'; +%%线路 +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t4=zeros(size(indexi,2),1); +for I=1:size(indexi,2) + t4(I)=Volt(indexi(I))*real(GB(indexi(I),indexj(I)))+t3(indexi(I),indexj(I));%线路 +end +LP=t4; +%发电机Q +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=sum(t3,2);%发电机Q +GQ=t4; +Mat_G=[ + GP; + GQ(PVi); + Volt'; + LP; + ]; +end \ No newline at end of file diff --git a/FormG.m b/FormG.m new file mode 100644 index 0000000..d2f7fac --- /dev/null +++ b/FormG.m @@ -0,0 +1,20 @@ +function Mat_G=FormG(Volt,PVi,PGi,PG,QG) +%t1=PG(PVi); +%GP=t1;%发电机P +%GP=[4.5 4.5]'; +%%线路 +%发电机Q +% t1=Volt'*Volt; +% t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t3=t1.*t2; +% t4=sum(t3,2);%发电机Q +%GQ=t4; +Mat_G=[ + %GP; + PG(PGi); + QG(PVi); + %GQ(PVi); + %[0 1.45]'; + Volt'; + ]; +end \ No newline at end of file diff --git a/FormH.asv b/FormH.asv new file mode 100644 index 0000000..ee51ec9 --- /dev/null +++ b/FormH.asv @@ -0,0 +1,24 @@ +function Mat_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y) +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=Volt'*Volt; +t3=t1.*t2; +t4=sum(-t3,2);%P +t5=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t6=t2.*t5; +t7=sum(-t6,2);%Q +t8=PG-PD; +t9=QG-QD; +%Mat_H=([(PG-PD)',(QG-QD)'])'+([t4',t7'])'; +Mat_H(1:2:2*Busnum)=t8(1:Busnum)+t4(1:Busnum); +Mat_H(2:2:2*Busnum)=t9(1:Busnum)+t7(1:Busnum); +Mat_H=Mat_H'; +%%%%一下是学姐给的公式 +AngleIJ=AngleIJMat-angle(GB); +%dP=PG-PD-diag(Volt)*Y*cos(AngleIJ)*Volt'; +dP=PG-PD-diag(Volt)*Y.*cos(AngleIJ)*Volt'; +dQ=QG-QD-diag(Volt)*Y.*sin(AngleIJ)*Volt'; +%Mat_H(1:2:2*Busnum)=dP(1:Busnum);暂时改一下 20111227 +%Mat_H(2:2:2*Busnum)=dQ(1:Busnum);暂时改一下 20111227 +Mat_H=[]' + +end \ No newline at end of file diff --git a/FormH.m b/FormH.m new file mode 100644 index 0000000..e87423d --- /dev/null +++ b/FormH.m @@ -0,0 +1,24 @@ +function Mat_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y) +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=Volt'*Volt; +t3=t1.*t2; +t4=sum(-t3,2);%P +t5=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t6=t2.*t5; +t7=sum(-t6,2);%Q +t8=PG-PD; +t9=QG-QD; +%Mat_H=([(PG-PD)',(QG-QD)'])'+([t4',t7'])'; +Mat_H(1:2:2*Busnum)=t8(1:Busnum)+t4(1:Busnum); +Mat_H(2:2:2*Busnum)=t9(1:Busnum)+t7(1:Busnum); +Mat_H=Mat_H'; +%%%%一下是学姐给的公式 +AngleIJ=AngleIJMat-angle(GB); +%dP=PG-PD-diag(Volt)*Y*cos(AngleIJ)*Volt'; +dP=PG-PD-diag(Volt)*Y.*cos(AngleIJ)*Volt'; +dQ=QG-QD-diag(Volt)*Y.*sin(AngleIJ)*Volt'; +%Mat_H(1:2:2*Busnum)=dP(1:Busnum);暂时改一下 20111227 +%Mat_H(2:2:2*Busnum)=dQ(1:Busnum);暂时改一下 20111227 +Mat_H=[dP;dQ;]; + +end \ No newline at end of file diff --git a/FormLw.asv b/FormLw.asv new file mode 100644 index 0000000..35736b1 --- /dev/null +++ b/FormLw.asv @@ -0,0 +1,8 @@ +function FormLw(Mat_G,Init_L,GenU,LinePLimt) +PL=GenU(:,1);%发电机有功下界 +QL=GenU(:,2);%发电机无功下界 +VoltL=0.8*ones(1,5); +t1=([PL',QL',VoltL,LinePLimt'])'; +t2=Mat_G-Init_L'-t1; +Lz=t2; +end \ No newline at end of file diff --git a/FormLw.m b/FormLw.m new file mode 100644 index 0000000..2096de7 --- /dev/null +++ b/FormLw.m @@ -0,0 +1,10 @@ +function Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU) + +PU=GenU(:,2);%发电机有功上界 +QU=PVQU(:,1);%发电机无功上界 +VoltU=1.1*ones(1,Busnum); + +t1=([PU',QU',VoltU])'; +t2=Mat_G+Init_U'-t1; +Lw=t2; +end \ No newline at end of file diff --git a/FormLx.m b/FormLx.m new file mode 100644 index 0000000..895f91e --- /dev/null +++ b/FormLx.m @@ -0,0 +1,4 @@ +function Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W) +t1=deltF-deltH*Init_Y'-deltG*(Init_Z'+Init_W'); +Lx=t1; +end \ No newline at end of file diff --git a/FormLxComa.m b/FormLxComa.m new file mode 100644 index 0000000..9d25a12 --- /dev/null +++ b/FormLxComa.m @@ -0,0 +1,11 @@ +function LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx) +%t1=deltG*(Init_Z'+Init_W');%% +t2=Lul+diag(Init_Z)*Lz; +t3=inv(diag(Init_L)); +t4=t3*t2;% +t5=Luu-diag(Init_W)*Lw; +t6=inv(diag(Init_U)); +t7=t6*t5;% +t8=deltG*(t4+t7);%% +LxComa=Lx+t8; +end \ No newline at end of file diff --git a/FormLz.asv b/FormLz.asv new file mode 100644 index 0000000..5e7ddd4 --- /dev/null +++ b/FormLz.asv @@ -0,0 +1,10 @@ +function Lz=FormLz(Mat_G,Init_L,GenL,LinePLimt,LineCount,Busnum,PVQL) + +PL=GenL(:,2);%发电机有功下界 +QL=PVQL(:,1);%发电机无功下界 +VoltL=0.9*ones(1,Busnum); +t1=([PL',QL',VoltL])'; + +t2=Mat_G-Init_L'-t1; +Lz=t2; +end \ No newline at end of file diff --git a/FormLz.m b/FormLz.m new file mode 100644 index 0000000..132a91b --- /dev/null +++ b/FormLz.m @@ -0,0 +1,10 @@ +function Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL) + +PL=GenL(:,2);%发电机有功下界 +QL=PVQL(:,1);%发电机无功下界 +VoltL=0.9*ones(1,Busnum); +t1=([PL',QL',VoltL])'; + +t2=Mat_G-Init_L'-t1; +Lz=t2; +end \ No newline at end of file diff --git a/FormYY.asv b/FormYY.asv new file mode 100644 index 0000000..85d2a13 --- /dev/null +++ b/FormYY.asv @@ -0,0 +1,5 @@ +function FormYY(Init_L,Lul.Lz,Init_U,Luu,Lw,Lz,LxComa) +t=[ + - +] +end \ No newline at end of file diff --git a/FormYY.m b/FormYY.m new file mode 100644 index 0000000..2a9f61e --- /dev/null +++ b/FormYY.m @@ -0,0 +1,11 @@ +function YY=FormYY(Init_L,Lul,Lz,Ly,Init_U,Luu,Lw,LxComa) +t=[ + -inv(diag(Init_L))*Lul; + Lz; + -inv(diag(Init_U))*Luu; + -Lw; + LxComa; + -Ly; +]; +YY=t; +end \ No newline at end of file diff --git a/FormYY1.m b/FormYY1.m new file mode 100644 index 0000000..0049526 --- /dev/null +++ b/FormYY1.m @@ -0,0 +1,10 @@ +function YY=FormYY1(Lul,Lz,Ly,Luu,Lw,Lx) +YY=[ + Lx; + -Ly; + -Lz; + -Lw; + -Lul; + -Luu; +]; +end \ No newline at end of file diff --git a/IEEE1047.dat b/IEEE1047.dat new file mode 100644 index 0000000..810debe --- /dev/null +++ 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0.360000000000000 0.125000000000000 0.235000000000000 400 800 0 0 +0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 diff --git a/IEEE4.dat b/IEEE4.dat new file mode 100644 index 0000000..65c80a5 --- /dev/null +++ b/IEEE4.dat @@ -0,0 +1,23 @@ +4 4 1. 18 .1 +1.e-5 2 +1 4 +0 +1 1 2 .1 .4 0.01528 +2 1 4 .12 .5 0.0192 +3 2 4 .08 .4 0.01413 +0 +0 +1 1 3 .0 .3 0.90909 .9 1.15 +0 +1 0. 0. 0.3 0.18 +2 0. 0. 0.55 0.13 +3 0.5 0. 0. 0. +4 0.36 0.26 0. 0. +0 +3 1.1 -0.1 0.6 +4 1.05 -0.6 0.6 +0 +3 44.4 351. 50. 0.3 1.2 +4 40.6 389. 50. 0.3 1.2 +0 +0 diff --git a/Initial.m b/Initial.m new file mode 100644 index 0000000..71a11df --- /dev/null +++ b/Initial.m @@ -0,0 +1,13 @@ +function [P0,Q0,U,Uangle] = Initial(PG,PD,PQstandard,Pointpoweri,QG,QD,Busnum) +%************************************************************************** +% 程序功能 : 子函数——计算功率不平衡分量等 +% 编 者： +% 编制时间 ：2010.12 +%************************************************************************** +%% 计算功率的不平衡分量 +P0 = sparse(1, Pointpoweri,(PG-PD)/PQstandard); % 求取节点注入有功功率的标幺值 +Q0 = sparse(1, Pointpoweri,(QG-QD)/PQstandard); % 求取节点注入无功功率的标幺值 +%% 平启动赋电压初值 +U = ones(1,Busnum); % 按照平启动给电压幅值赋值 +Uangle = zeros(1,Busnum); % 按照平启动给电压相角赋值 +end \ No newline at end of file diff --git a/Modification.asv b/Modification.asv new file mode 100644 index 0000000..ec3486f --- /dev/null +++ b/Modification.asv @@ -0,0 +1,18 @@ +function [Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi) +AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU); +fprintf('AlphaP %f\n',AlphaP); +AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW); +fprintf('AlphaD %f\n',AlphaD); + +Init_Z=Init_Z+AlphaD*deltZ'; +Init_L=Init_L+AlphaP*deltL'; +Init_W=Init_W+AlphaD*deltW'; +Init_U=Init_U+AlphaP*deltU'; +Init_Y=Init_Y+AlphaD*deltY'; +PG(PVi)=PG(PGi)+deltX(size(PGi,1)); +QG(PVi)=QG(PVi)+deltX(size(PGi,1)+1,1:(size(PVi,1)+size(PGi,1))); +t=deltX(size(PVi,1)+size(PGi,1)+1,ContrlCount)'; +t(2*Balance-1)=0; +Volt=Volt+AlphaP*t(2:2:2*Busnum); +UAngel=UAngel+AlphaP*t(1:2:2*Busnum); +end \ No newline at end of file diff --git a/Modification.m b/Modification.m new file mode 100644 index 0000000..cbe7d32 --- /dev/null +++ b/Modification.m @@ -0,0 +1,22 @@ +function [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi) +AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU); +fprintf('AlphaP %f\n',AlphaP); +AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW); +fprintf('AlphaD %f\n',AlphaD); + +Init_Z=Init_Z+AlphaD*deltZ'; +Init_L=Init_L+AlphaP*deltL'; +Init_W=Init_W+AlphaD*deltW'; +Init_U=Init_U+AlphaP*deltU'; +Init_Y=Init_Y+AlphaD*deltY'; +%PG(PGi)=PG(PGi)+deltX(1:size(PGi,1)); +PG(PGi)=PG(PGi)+AlphaP*deltX(1:size(PGi,1)); +%QG(PVi)=QG(PVi)+deltX(size(PGi,1)+1:size(PVi,1)+size(PGi,1) ); +QG(PVi)=QG(PVi)+AlphaP*deltX(size(PGi,1)+1:size(PVi,1)+size(PGi,1) ); +t=deltX(size(PVi,1)+size(PGi,1)+1:ContrlCount)'; +t(Busnum+Balance)=0; +%Volt=Volt+AlphaP*t(2:2:2*Busnum);暂时改一下20111227 +%UAngel=UAngel+AlphaP*t(1:2:2*Busnum);暂时改一下20111227 +Volt=Volt+AlphaP*t(1:Busnum); +UAngel=UAngel+AlphaP*t(Busnum+1:2*Busnum); +end \ No newline at end of file diff --git a/OPF.asv b/OPF.asv new file mode 100644 index 0000000..36d3a2a --- /dev/null +++ b/OPF.asv @@ -0,0 +1,75 @@ +tic +clear +%[kmax,Precision,UAngel,Volt,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,LineLimti,LineLimtj,LinePLimt,PG,QG,PD,QD,CenterA,LineCount,PGi,PVQU,PVQL]=pf('5sj.txt'); +[kmax,Precision,UAngel,Volt,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,PG,QG,PD,QD,CenterA,PGi,PVQU,PVQL]=pf('ieee14.dat'); +GB=full(GB); +%PVi电压节点序号 +%PVu电压节点电压标幺值 +Volt +UAngel*180/3.1415926 +%sprintf('%f\n',Volt); +%sprintf('%f\n',Angel); +%% 初值 + +[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL); +Gap=(Init_L*Init_Z'-Init_U*Init_W'); +KK=0; +plotGap=zeros(1,50); +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +while(abs(Gap)>Precision) + if KK>kmax + break; + end + plotGap(KK+1)=Gap; + Init_u=Gap/2/RestraintCount*CenterA; + AngleIJMat=repmat(UAngel',1,Busnum)-repmat(UAngel,Busnum,1); + %indexi=[Linei',Transfori']; + %indexj=[Linej',Transforj']; + %% 开始计算OPF + %% 形成等式约束的雅克比 + deltH=func_deltH(Busnum,Volt,PVi,AngleIJMat,Y,GB,PGi); + %% 形成不等式约束的雅克比 + deltG=func_deltG(Busnum,PVi,PGi); + %% + L_1Z=diag(Init_Z./Init_L); + U_1W=diag(Init_W./Init_U); + %% 形成海森阵 + deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi); + %% 形成ddHy + ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y); + %% 开始构建ddg + ddg=func_ddg(PGi,PVi,Busnum,RestraintCount); + %% 开始构建deltF + deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi); + + %% 形成方程矩阵 +% Hcoma=-deltdeltF+ddh+ddg-deltG*(L_1Z-U_1W)*deltG'; + %AA=FormAA1(deltG,deltdeltF,ddh,ddg,deltH,Init_L,Init_U,Init_W,Init_Z,Busnum,PVi,PGi,RestraintCount,Balance); + %AA=FormAA(L_1Z,deltG,U_1W,Hcoma,deltH); + %% + Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1); + Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1); + Mat_G=FormG(Volt,PVi,PGi,PG,QG); + Mat_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y); + Ly=Mat_H; + Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL); + Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU); + Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W); + %LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw); + YY=FormYY1(Lul,Lz,Ly,Luu,Lw,Lx); + %YY=FormYY(Init_L,Lul,Lz,Ly,Init_U,Luu,Lw,LxComa); + %% 开始解方程 + %XX=AA\YY; + XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,PVi,PGi,Busnum); + %%取各分量 + [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX1(XX,ContrlCount,RestraintCount,Busnum); + %[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX); + [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi); + Gap=(Init_L*Init_Z'-Init_U*Init_W'); + KK=KK+1; +end +fprintf('迭代次数%d\n',KK); +CalCost(GenC,PG,PGi); +DrawGap(plotGap); +toc + diff --git a/OPF.m b/OPF.m new file mode 100644 index 0000000..340ce87 --- /dev/null +++ b/OPF.m @@ -0,0 +1,75 @@ +tic +clear +%[kmax,Precision,UAngel,Volt,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,LineLimti,LineLimtj,LinePLimt,PG,QG,PD,QD,CenterA,LineCount,PGi,PVQU,PVQL]=pf('5sj.txt'); +[kmax,Precision,UAngel,Volt,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,PG,QG,PD,QD,CenterA,PGi,PVQU,PVQL]=pf('ieee3001.dat'); +GB=full(GB); +%PVi电压节点序号 +%PVu电压节点电压标幺值 +Volt +UAngel*180/3.1415926 +%sprintf('%f\n',Volt); +%sprintf('%f\n',Angel); +%% 初值 + +[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL); +Gap=(Init_L*Init_Z'-Init_U*Init_W'); +KK=0; +plotGap=zeros(1,50); +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +while(abs(Gap)>Precision) + if KK>kmax + break; + end + plotGap(KK+1)=Gap; + Init_u=Gap/2/RestraintCount*CenterA; + AngleIJMat=repmat(UAngel',1,Busnum)-repmat(UAngel,Busnum,1); + %indexi=[Linei',Transfori']; + %indexj=[Linej',Transforj']; + %% 开始计算OPF + %% 形成等式约束的雅克比 + deltH=func_deltH(Busnum,Volt,PVi,AngleIJMat,Y,GB,PGi); + %% 形成不等式约束的雅克比 + deltG=func_deltG(Busnum,PVi,PGi); + %% + L_1Z=diag(Init_Z./Init_L); + U_1W=diag(Init_W./Init_U); + %% 形成海森阵 + deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi); + %% 形成ddHy + ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y); + %% 开始构建ddg + ddg=func_ddg(PGi,PVi,Busnum,RestraintCount); + %% 开始构建deltF + deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi); + + %% 形成方程矩阵 +% Hcoma=-deltdeltF+ddh+ddg-deltG*(L_1Z-U_1W)*deltG'; + %AA=FormAA1(deltG,deltdeltF,ddh,ddg,deltH,Init_L,Init_U,Init_W,Init_Z,Busnum,PVi,PGi,RestraintCount,Balance); + %AA=FormAA(L_1Z,deltG,U_1W,Hcoma,deltH); + %% + Luu=Init_U'.*Init_W'+Init_u*ones(RestraintCount,1); + Lul=Init_L'.*Init_Z'-Init_u*ones(RestraintCount,1); + Mat_G=FormG(Volt,PVi,PGi,PG,QG); + Mat_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y); + Ly=Mat_H; + Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL); + Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU); + Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W); + %LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw); + YY=FormYY1(Lul,Lz,Ly,Luu,Lw,Lx); + %YY=FormYY(Init_L,Lul,Lz,Ly,Init_U,Luu,Lw,LxComa); + %% 开始解方程 + %XX=AA\YY; + XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,PVi,PGi,Busnum); + %%取各分量 + [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX1(XX,ContrlCount,RestraintCount,Busnum); + %[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX); + [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,PG,QG,Volt,UAngel,PVi,ContrlCount,Balance,Busnum,PGi); + Gap=(Init_L*Init_Z'-Init_U*Init_W'); + KK=KK+1; +end +fprintf('迭代次数%d\n',KK); +CalCost(GenC,PG,PGi); +DrawGap(plotGap); +toc + diff --git a/OPF_Init.asv b/OPF_Init.asv new file mode 100644 index 0000000..f244411 --- /dev/null +++ b/OPF_Init.asv @@ -0,0 +1,22 @@ +function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount]=OPF_Init(Busnum,Balance,PG,QG,Volt,LineNum,GenU,GenL,PVi,PGi) +RestraintCount=size(PVi,1)+size(PGi,1)+Busnum+LineNum; %约束条件数 +t_Bal_volt=Volt(Balance); +Volt=ones(1,Busnum); +Volt(Balance)=t_Bal_volt; +UAngel=zeros(1,Busnum); +Init_Z=ones(1,RestraintCount); +Init_W=-.5*ones(1,RestraintCount); +Init_L=ones(1,RestraintCount); +Init_U=ones(1,RestraintCount); +Init_Y=zeros(1,2*Busnum); +Init_Y(1:2:2*Busnum)=1e-10; +Init_Y(2:2:2*Busnum)=-1e-10; +tPU=GenU(:,2);% 发电机有功上限 +tQU=GenU(:,3);% 发电机无功上限 +tPL=GenL(:,2);% 发电机有功下限 +tQL=GenL(:,3);% 发电机无功下限 +%PG(4:5)=[4.5 4.5]; +PG(PVi)=(tPU+tPL)/2; +%QG(4:5)=[0 1.45]; +QG(PVi)=(tQU+tQL)/2; +end \ No newline at end of file diff --git a/OPF_Init.m b/OPF_Init.m new file mode 100644 index 0000000..6a80fb1 --- /dev/null +++ b/OPF_Init.m @@ -0,0 +1,25 @@ +function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL) +RestraintCount=size(PVi,1)+size(PGi,1)+Busnum; %约束条件数 +t_Bal_volt=Volt(Balance); +Volt=ones(1,Busnum); +%Volt(Balance)=t_Bal_volt; +Volt(Balance)=1; +UAngel=zeros(1,Busnum); +Init_Z=ones(1,RestraintCount); +Init_W=-1*ones(1,RestraintCount); +Init_L=ones(1,RestraintCount); +Init_U=ones(1,RestraintCount); +%Init_Y=zeros(1,2*Busnum); +%Init_Y=ones(1,2*Busnum); +Init_Y=zeros(1,2*Busnum);%与学姐一致 +%Init_Y(1:2:2*Busnum)=1e-10; +%Init_Y(2:2:2*Busnum)=-1e-10; +tPU=GenU(:,2);% 发电机有功上限 +tQU=PVQU(:,1);% 无功上限 +tPL=GenL(:,2);% 发电机有功下限 +tQL=PVQL(:,1);% 无功下限 +%PG(4:5)=[4.5 4.5]; +PG(PGi)=(tPU+tPL)/2; +%QG(4:5)=[0 1.45]; +QG(PVi)=(tQU+tQL)/2; +end \ No newline at end of file diff --git a/ReadMe.txt b/ReadMe.txt new file mode 100644 index 0000000..22b1747 --- /dev/null +++ b/ReadMe.txt @@ -0,0 +1 @@ +对照学姐给的公式 \ No newline at end of file diff --git a/SolveIt.asv b/SolveIt.asv new file mode 100644 index 0000000..1558133 --- /dev/null +++ b/SolveIt.asv @@ -0,0 +1,36 @@ +function XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,PVi,PGi,Busnum) +LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx); +H=-deltdeltF+ddh;%+ddg*(Init_Z'+Init_W'); +t1=diag(Init_L.\Init_Z-Init_U.\Init_W); +t2=-deltG*( t1 )*deltG'; +aa=[ + (H+t2),deltH; + deltH',zeros(size(Init_Y,),ContrlCount); + ]; +yy=[LxComa;-Ly]; +% t=size(PVi,1)+size(PGi,1); +% aa(t+2*Balance-1,:)=0; +% aa(:,t+2*Balance-1)=0; +% aa(t+2*Balance-1,t+2*Balance-1)=1; +%暂时改一下 +t=size(PVi,1)+size(PGi,1)+Busnum; +aa(t+Balance,:)=0; +aa(:,t+Balance)=0; +aa(t+Balance,t+Balance)=1; +dxdy=aa\yy; +dX=dxdy(1:ContrlCount); +dY=dxdy(ContrlCount+1:RestraintCount+ContrlCount); +dL=Lz+deltG'*dX; +dU=-Lw-deltG'*dX; +dZ=-diag(Init_L)\Lul-diag(Init_L)\diag(Init_Z)*dL; +dW=-diag(Init_U)\Luu-diag(Init_U)\diag(Init_W)*dU; +XX=[ + dX; + dY; + dZ; + dW; + dL; + dU; + +]; +end \ No newline at end of file diff --git a/SolveIt.m b/SolveIt.m new file mode 100644 index 0000000..e7e8fe2 --- /dev/null +++ b/SolveIt.m @@ -0,0 +1,36 @@ +function XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,RestraintCount,Lx,Balance,PVi,PGi,Busnum) +LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx); +H=-deltdeltF+ddh;%+ddg*(Init_Z'+Init_W'); +t1=diag(Init_L.\Init_Z-Init_U.\Init_W); +t2=-deltG*( t1 )*deltG'; +aa=[ + (H+t2),deltH; + deltH',zeros(size(Init_Y,2)); + ]; +yy=[LxComa;-Ly]; +% t=size(PVi,1)+size(PGi,1); +% aa(t+2*Balance-1,:)=0; +% aa(:,t+2*Balance-1)=0; +% aa(t+2*Balance-1,t+2*Balance-1)=1; +%暂时改一下 +t=size(PVi,1)+size(PGi,1)+Busnum; +aa(t+Balance,:)=0; +aa(:,t+Balance)=0; +aa(t+Balance,t+Balance)=1; +dxdy=aa\yy; +dX=dxdy(1:ContrlCount); +dY=dxdy(ContrlCount+1:ContrlCount+2*Busnum); +dL=Lz+deltG'*dX; +dU=-Lw-deltG'*dX; +dZ=-diag(Init_L)\Lul-diag(Init_L)\diag(Init_Z)*dL; +dW=-diag(Init_U)\Luu-diag(Init_U)\diag(Init_W)*dU; +XX=[ + dX; + dY; + dZ; + dW; + dL; + dU; + +]; +end \ No newline at end of file diff --git a/admmatrix.asv b/admmatrix.asv new file mode 100644 index 0000000..1896345 --- /dev/null +++ b/admmatrix.asv @@ -0,0 +1,31 @@ +function [G,B,GB,Y,r,c,Angle] = admmatrix(Busnum,Linei,Linej,Liner,Linex,Lineb,Transfori... + ,Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb) +%************************************************************************** +% 程序功能 : 子函数——形成节点导纳矩阵Y +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 支路导纳计算 +G = -sparse(Linei,Linej,Liner./(Liner.^2+Linex.^2),Busnum,Busnum) - sparse(Linej,Linei,Liner./(Liner.^2+Linex.^2),Busnum,Busnum); +G = G - sparse(1:Busnum,1:Busnum,sum(G,2)'); % 计算各线路支路电导 +B = sparse(Linei,Linej,Linex./(Liner.^2+Linex.^2),Busnum,Busnum)+sparse(Linej,Linei,Linex./(Liner.^2+Linex.^2),Busnum,Busnum); +B = B - sparse(1:Busnum,1:Busnum,sum(B,2)')+sparse(Linei,Linei,Lineb,Busnum,Busnum)+sparse(Linej,Linej,Lineb,Busnum,Busnum); +%% 变压器支路计算 +if Transfori>0 + mr = Transforr./(Transforr.^2+Transforx.^2); % 计算变压器支路电导 + mx = -Transforx./(Transforr.^2+Transforx.^2); % 计算变压器支路电纳 + G = G-sparse(Transfori,Transforj,mr./Transfork0,Busnum,Busnum)-sparse(Transforj,Transfori,mr./Transfork0,Busnum,Busnum)... + +sparse(Transfori,Transfori,mr./Transfork0./Transfork0,Busnum,Busnum)+sparse(Transforj,Transforj,mr,Busnum,Busnum); + B = B-sparse(Transfori,Transforj,mx./Transfork0,Busnum,Busnum)-sparse(Transforj,Transfori,mx./Transfork0,Busnum,Busnum)... + +sparse(Transfori,Transfori,mx./Transfork0./Transfork0,Busnum,Busnum)+sparse(Transforj,Transforj,mx,Busnum,Busnum); +end +%% 接地支路计算 +if Branchi>0 % 判断有无接地支路 + B = B+sparse(Branchi,Branchi,Branchb,Busnum,Busnum); +end +%% 化作极坐标形式 +GB = G+B.*1i; %将电导，电纳合并，写成复数形式 +Y = abs(GB); %求节点导纳幅值 +[r,c] = find(Y); +Angle = angle(GB(GB~=0)); %求节点导纳角度 +%Angle=angle(GB); \ No newline at end of file diff --git a/admmatrix.m b/admmatrix.m new file mode 100644 index 0000000..f73ce63 --- /dev/null +++ b/admmatrix.m @@ -0,0 +1,32 @@ +function [G,B,GB,Y,r,c,Angle] = admmatrix(Busnum,Linei,Linej,Liner,Linex,Lineb,Transfori... + ,Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb) +%************************************************************************** +% 程序功能 : 子函数——形成节点导纳矩阵Y +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 支路导纳计算 +G = -sparse(Linei,Linej,Liner./(Liner.^2+Linex.^2),Busnum,Busnum) - sparse(Linej,Linei,Liner./(Liner.^2+Linex.^2),Busnum,Busnum); +G = G - sparse(1:Busnum,1:Busnum,sum(G,2)'); % 计算各线路支路电导 +B = sparse(Linei,Linej,Linex./(Liner.^2+Linex.^2),Busnum,Busnum)+sparse(Linej,Linei,Linex./(Liner.^2+Linex.^2),Busnum,Busnum); +B = B - sparse(1:Busnum,1:Busnum,sum(B,2)')+sparse(Linei,Linei,Lineb,Busnum,Busnum)+sparse(Linej,Linej,Lineb,Busnum,Busnum); +%% 变压器支路计算 +if Transfori>0 + mr = Transforr./(Transforr.^2+Transforx.^2); % 计算变压器支路电导 + mx = -Transforx./(Transforr.^2+Transforx.^2); % 计算变压器支路电纳 + G = G-sparse(Transfori,Transforj,mr./Transfork0,Busnum,Busnum)-sparse(Transforj,Transfori,mr./Transfork0,Busnum,Busnum)... + +sparse(Transfori,Transfori,mr./Transfork0./Transfork0,Busnum,Busnum)+sparse(Transforj,Transforj,mr,Busnum,Busnum); + B = B-sparse(Transfori,Transforj,mx./Transfork0,Busnum,Busnum)-sparse(Transforj,Transfori,mx./Transfork0,Busnum,Busnum)... + +sparse(Transfori,Transfori,mx./Transfork0./Transfork0,Busnum,Busnum)+sparse(Transforj,Transforj,mx,Busnum,Busnum); +end +%% 接地支路计算 +if Branchi>0 % 判断有无接地支路 + B = B+sparse(Branchi,Branchi,Branchb,Busnum,Busnum); +end +%% 化作极坐标形式 +GB = G+B.*1i; %将电导，电纳合并，写成复数形式 +Y = abs(GB); %求节点导纳幅值 +Y=full(Y); +[r,c] = find(Y); +Angle = angle(GB(GB~=0)); %求节点导纳角度 +%Angle=angle(GB); \ No newline at end of file diff --git a/func_ddf.m b/func_ddf.m new file mode 100644 index 0000000..594161d --- /dev/null +++ b/func_ddf.m @@ -0,0 +1,176 @@ +function ddf=func_ddh(AngleIJMat,GB,Volt,Init_Y,Busnum) +%% deltaPi/deltaThytai_deltaThytaj 非对角元素 +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +dPdTidTj=t1.*t2; %%(保留了对角元素的) +dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的 +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的 +t3=repmat(Init_Y,size(Init_Y,2),1); +dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@ +%% deltaP/deltaThyta_deltaThyta 对角元素 +t1=sum(-dPidTidTj_2,2); +t2=diag(t1'.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数 +t3=sum(-dPidTidTj_2,1); +t4=diag(t3.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数 +dPdTidTi=t2+t4;%%最终对角元素 @@ +%% deltaP/deltaThytai_dVi 对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); +dPidTjdVj=-t3; +t6=sum(dPidTjdVj,1);%乘y的系数 +t6=t6.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@ +%% deltaP/deltaThytai_dVj 非对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=ones(Busnum,1)*Volt.*real(GB).*(sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=t2'; +dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@ +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=t1-diag(diag(t1)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 +%% deltaPi/dVi_deltaThyta 对角元素 +dPdVidTi=dPdTidVi;%最终对角元素 @@ +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*(cos(AngleIJMat)+imag(GB).*sin(AngleIJMat))); +dPidVidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-(real(GB).*(cos(AngleIJMat)-imag(GB).*sin(AngleIJMat))); +dPjdVidVj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@ +%% deltaP/dVi_dVi 对角元素 +t1=diag(real(GB)); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@ +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +t1=-Volt'*Volt; +t2=real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的 +t3=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*(sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dQjdTidTj=t1.*t2; +t3=t3'; +dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 +%% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=dQidTidTj-diag(diag(dQidTidTj)); +t2=sum(t1,2); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidTi=diag(t3); +t1=-Volt'*Volt; +t2=real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=sum(t4,1); +t6=t5.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQjdTidTi=diag(t6); +dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 +%% deltaQ/deltaThyta_deltaV 非对角元素 +t1=-Volt; +t2=real(GB).*(cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t3=ones(Busnum,1)*t1.*t2; +t4=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*(cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +t3=Volt'*ones(1,Busnum).*t2; +t4=t4'; +dQjdTidVj=t2.*t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 +%% deltaQ/deltaThyta_deltaV 对角元素 +t1=sum(dQidTidVj,2)-diag(dQidTidVj); +t2=t1'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidVi=diag(t2); +t1=-Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +t3=sum(t2,1); +t4=t3.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQjdTidVi=diag(t4); +dQdTidVi=dQidTidVi+dQjdTidVi; +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidVj=t3; +t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=t2'; +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVj=t3; +dQdVidVj=dQidVidVj+dQjdVidVj; +%% deltaQ/deltaV_deltaV 对角元素 +t1=2*(real(GB).*(sin(AngleIJMat)-imag(GB).*cos(AngleIJMat))); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); +t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=diag(t1); +t3=t1-diag(t2); +t4=sum(t3,1); +t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVi=diag(t5); +dQdVidVi=dQidVidVi+dQjdVidVi; +%% deltaQ/deltaV_deltaThyta 非对角元素 +t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidTj=t4; +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=t3'; +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidTj=t4; +dQdVidTj=dQidVidTj+dQjdVidTj; +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi; +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角 +%% 生成ddf +t=[zeros(2*14-2*5,2*14); + zeros(2*5,2*14-2*5),AQi+APi; +]; +ddf=t; +end \ No newline at end of file diff --git a/func_ddg.asv b/func_ddg.asv new file mode 100644 index 0000000..9ea0021 --- /dev/null +++ b/func_ddg.asv @@ -0,0 +1,93 @@ +function ddg=func_ddg(AngleIJMat,GB,Volt,Init_W,Init_Z,Busnum,indexi,indexj,PVi,RestraintCount) +c=Init_W+Init_Z; +%% dg4_dTdT 对角元素 +%t1=-Volt'*Volt; +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t4=t3(sub2ind(size(t3),indexi,indexj)); +t5=zeros(Busnum); +offset=2*size(PVi,1)+Busnum; +for I=1:size(indexi,2) + t5(indexi(I),indexi(I))=t4(I)*c(offset+I); + t5(indexj(I),indexj(I))=t4(I)*c(offset+I); +end +dPdTidTi=t5; %@@@ +%% dg4_dTdT 非对角元素 +%t1=Volt'*Volt; +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t5=zeros(Busnum); +for I=1:size(indexi,2) + t5(indexi(I),indexj(I))=t3(indexi(I),indexj(I))*c(offset+I); + t5(indexj(I),indexi(I))=t3(indexi(I),indexj(I))*c(offset+I); +end +dPdTidTj=t5;% @@@ +%% dg4_dVdV 对角元素 +t1=real(GB)*2; +%dPijdVidVi=t1; +t2=zeros(Busnum); +for I=1:size(indexi,2) + t2(indexi(I),indexi(I))=t1(indexi(I),indexj(I))*c(offset+I); +end +dPdVidVi=t2; % @ +%% dg4_dVdV 非对角元素 +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t4=zeros(Busnum); +for I=1:size(indexi,2) + %t4(indexi(I),indexj(I))=t2(indexi(I),indexj(I))*c(offset+I); + t4(indexi(I),indexj(I))=-t2(indexi(I),indexj(I))*c(offset+I); + %t4(indexj(I),indexi(I))=t2(indexi(I),indexj(I))*c(offset+I); + t4(indexj(I),indexi(I))=-t2(indexi(I),indexj(I))*c(offset+I); +end +dPdVidVj=t4; %@@ +%% dg4_dTdV 对角元素 +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t4=zeros(Busnum); +for I=1:size(indexi,2) + %t4(indexi(I),indexi(I))=-Volt(indexj(I))*t2(indexi(I),indexi(I))*c(offset+I); + t4(indexi(I),indexi(I))=Volt(indexj(I))*t2(indexi(I),indexj(I))*c(offset+I); + %t4(indexj(I),indexj(I))=Volt(indexi(I))*t2(indexj(I),indexj(I))*c(offset+I); + t4(indexj(I),indexj(I))=-Volt(indexi(I))*t2(indexi(I),indexj(I))*c(offset+I); +end +dPdTidVi=t4; % @@ +%% dg4_dTdV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=zeros(Busnum); +for I=1:size(indexi,2) + %t2(indexi(I),indexj(I))=-Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I); + t2(indexi(I),indexj(I))=Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I); + %t2(indexj(I),indexi(I))=Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I); + t2(indexj(I),indexi(I))=-Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I); +end +dPdTidVj=t2; % @@ +%% dg4_dVdT 对角元素 +dPdVidTi=dPdTidVi; +%% dg4_dVdT 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=zeros(Busnum); +for I=1:size(indexi,2) + %t2(indexi(I),indexj(I))=Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I); + t2(indexi(I),indexj(I))=-Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I); + %t2(indexj(I),indexi(I))=Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I); + t2(indexj(I),indexi(I))=Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I); +end +dPdVidTj=t2; % @ +%% 生成ddg4ddx +ddg4ddx=zeros(2*Busnum,2*Busnum); +ddg4ddx(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +ddg4ddx(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +ddg4ddx(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +ddg4ddx(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +ddg4ddx(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +ddg4ddx(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +ddg4ddx(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +ddg4ddx(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% 生成ddg +t=[zeros(2*size(PVi,1),RestraintCount); + zeros(2*Busnum,RestraintCount-size(PVi,1)-2*Busnum),ddg4ddx; +]; + +ddg=t; +end \ No newline at end of file diff --git a/func_ddg.m b/func_ddg.m new file mode 100644 index 0000000..a85bde4 --- /dev/null +++ b/func_ddg.m @@ -0,0 +1,6 @@ +function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount) + +t=zeros(size(PVi,1)+size(PGi,1)+2*Busnum,RestraintCount); + +ddg=t; +end \ No newline at end of file diff --git a/func_ddh.asv b/func_ddh.asv new file mode 100644 index 0000000..e1d5441 --- /dev/null +++ b/func_ddh.asv @@ -0,0 +1,185 @@ +function ddh=func_ddh(AngleIJMat,GB,Volt,Init_Y,Busnum) +%% deltaPi/deltaThytai_deltaThytaj 非对角元素 +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +dPdTidTj=t1.*t2; %%(保留了对角元素的) +dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的 +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的 +t3=repmat(Init_Y,size(Init_Y,2),1); +dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@ +%% deltaP/deltaThyta_deltaThyta 对角元素 +t1=sum(-dPidTidTj_2,2); +t2=diag(t1'.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数 +t3=sum(-dPidTidTj_2,1); +t4=diag(t3.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数 +dPdTidTi=t2+t4;%%最终对角元素 @@@ +%% deltaP/deltaThytai_dVi 对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); +dPidTjdVj=-t3; +t6=sum(dPidTjdVj,1); +t6=t6.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@ +%% deltaP/deltaThytai_dVj 非对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=t2'; +dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@ +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=t1-diag(diag(t1)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@ +%% deltaPi/dVi_deltaThyta 对角元素 +dPdVidTi=dPdTidVi;%最终对角元素 @@ +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +dPidVidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +dPjdVidVj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@ +%% deltaP/dVi_dVi 对角元素 +t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t1=diag(diag(t0)); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@ +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +%t1=-Volt'*Volt; +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的 +t3=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +dQjdTidTj=-t1.*t2; +t3=t3'; +dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@ +%% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=dQidTidTj-diag(diag(dQidTidTj));%去对角元素 +t2=sum(t1,2); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +%dQidTidTi=diag(t3); +dQidTidTi=-diag(t3); +t1=-Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +t6=t4.*t5; +t7=sum(t6,1); +dQjdTidTi=diag(t7); +dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@ +%% deltaQ/deltaThyta_deltaV 非对角元素 +%t1=-Volt; +t1=Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1'*ones(1,Busnum).*t2; +t4=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=-Volt'*ones(1,Busnum).*t2; +t4=t4'; +dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@ +%% deltaQ/deltaThyta_deltaV 对角元素 +%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素 +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=ones(Busnum,1)*Volt.*t +t2=t1'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidVi=diag(t2); +t1=-Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +t3=sum(t2,1); +t4=t3.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQjdTidVi=diag(t4); +dQdTidVi=dQidTidVi+dQjdTidVi;% @@ +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidVj=t3; +t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=t2'; +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVj=t3; +dQdVidVj=dQidVidVj+dQjdVidVj;% @@ +%% deltaQ/deltaV_deltaV 对角元素 +t1=2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); +% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t2=diag(t1); +% t3=t1-diag(t2); +% t4=sum(t3,1); +% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +% dQjdVidVi=diag(t5); +dQjdVidVi=0; +dQdVidVi=dQidVidVi+dQjdVidVi; % @@ +%% deltaQ/deltaV_deltaThyta 非对角元素 +%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidTj=t4; +t1=-real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=t3'; +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidTj=t4; +dQdVidTj=dQidVidTj+dQjdVidTj;% @ +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi;% @ +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角 +%% 生成ddh +t=[zeros(4,14); + zeros(2*5,4),AQi+APi; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_ddh.m b/func_ddh.m new file mode 100644 index 0000000..e69e8bd --- /dev/null +++ b/func_ddh.m @@ -0,0 +1,187 @@ +function ddh=func_ddh(AngleIJMat,GB,Volt,Init_Y,Busnum) +%% deltaPi/deltaThytai_deltaThytaj 非对角元素 +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +dPdTidTj=t1.*t2; %%(保留了对角元素的) +dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的 +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的 +t3=repmat(Init_Y,size(Init_Y,2),1); +dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@ +%% deltaP/deltaThyta_deltaThyta 对角元素 +t1=sum(-dPidTidTj_2,2); +t2=diag(t1'.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数 +t3=sum(-dPidTidTj_2,1); +t4=diag(t3.*Init_Y(1:2:size(Init_Y,2)));%乘y的系数 +dPdTidTi=t2+t4;%%最终对角元素 @@@ +%% deltaP/deltaThytai_dVi 对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); +dPidTjdVj=-t3; +t6=sum(dPidTjdVj,1); +t6=t6.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@ +%% deltaP/deltaThytai_dVj 非对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=t2'; +dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@ +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=t1-diag(diag(t1)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@ +%% deltaPi/dVi_deltaThyta 对角元素 +dPdVidTi=dPdTidVi;%最终对角元素 @@ +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +dPidVidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +dPjdVidVj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@ +%% deltaP/dVi_dVi 对角元素 +t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t1=diag(t0); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@ +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +%t1=-Volt'*Volt; +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的 +t3=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +dQjdTidTj=-t1.*t2; +t3=t3'; +dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@ +%% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=dQidTidTj-diag(diag(dQidTidTj));%去对角元素 +t2=sum(t1,2); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +%dQidTidTi=diag(t3); +dQidTidTi=-diag(t3); +t1=-Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2)); +t7=sum(t6,1); +dQjdTidTi=diag(t7); +dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@ +%% deltaQ/deltaThyta_deltaV 非对角元素 +%t1=-Volt; +t1=Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1'*ones(1,Busnum).*t2; +t4=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=-Volt'*ones(1,Busnum).*t2; +t4=t4'; +dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@ +%% deltaQ/deltaThyta_deltaV 对角元素 +%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素 +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=ones(Busnum,1)*Volt.*t1; +t3=sum(t2,2); +t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidVi=diag(t4); +t1=-Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t5=sum(t4,1); +dQjdTidVi=diag(t5); +dQdTidVi=dQidTidVi+dQjdTidVi;% @@ +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidVj=t3; +t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=t2'; +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVj=t3; +dQdVidVj=dQidVidVj+dQjdVidVj;% @@@ +%% deltaQ/deltaV_deltaV 对角元素 +t1=2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); +% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t2=diag(t1); +% t3=t1-diag(t2); +% t4=sum(t3,1); +% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +% dQjdVidVi=diag(t5); +dQjdVidVi=0; +dQdVidVi=dQidVidVi+dQjdVidVi; % @@ +%% deltaQ/deltaV_deltaThyta 非对角元素 +%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidTj=t4; +t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=t3'; +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidTj=t4; +dQdVidTj=dQidVidTj+dQjdVidTj;% @ +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi;% @ +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角 +%% 生成ddh +t=[zeros(4,14); + zeros(2*5,4),AQi+APi; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_ddh1.asv b/func_ddh1.asv new file mode 100644 index 0000000..ea116b8 --- /dev/null +++ b/func_ddh1.asv @@ -0,0 +1,203 @@ +function ddh=func_ddh1(AngleIJMat,GB,Volt,Init_Y,Busnum) +%% deltaPi/deltaThytai_deltaThytaj 非对角元素 +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +dPdTidTj=t1.*t2; %%(保留了对角元素的) +dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的 +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的 +t3=repmat(Init_Y,size(Init_Y,2),1); +dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@@@@ +%% deltaP/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=sum(t4,2); +t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidTi=diag(t6); +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=t2-diag(diag(t2)); +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +t4=t1.*t2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t5=sum(t4,1); +dPidTjdTj=diag(t5); +dPdTidTi=dPidTidTi+dPidTjdTj;%%最终对角元素 @@@@@@ +%% deltaP/deltaThytai_dVi 对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); +t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t1=t1-diag(diag(t1));%去掉对角元素 +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=t1.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t6=sum(t3,1); +dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@@@@ +%% deltaP/deltaThytai_dVj 非对角元素 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=t2'; +dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@@@ +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=t1-diag(diag(t1)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@@ +%% deltaPi/dVi_deltaThyta 对角元素 +dPdVidTi=dPdTidVi;%最终对角元素 @@ +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +dPidVidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +dPjdVidVj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@@ +%% deltaP/dVi_dVi 对角元素 +t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t1=diag(t0); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@@ +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +t1=-Volt'*Volt; +%t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的 +t3=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +dQjdTidTj=-t1.*t2; +t3=t3'; +dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@@ +%% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=repmat(Init_Y',1,size(Init_Y,2)); +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,2); +dQidTidTi=diag(t7); +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +%t5=t5'; +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,1); +dQjdTidTi=diag(t7); +dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@@ +%% deltaQ/deltaThyta_deltaV 非对角元素 +t1=-Volt; +%t1=Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1'*ones(1,Busnum).*t2; +t4=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=Volt'*ones(1,Busnum).*t2; +t4=t4'; +dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@@@ +%% deltaQ/deltaThyta_deltaV 对角元素 +%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素 +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*t1; +t2=t2-diag(diag(t2)); +t3=sum(t2,2); +t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidVi=diag(t4); +t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t5=sum(t4,1); +dQjdTidVi=diag(t5); +dQdTidVi=dQidTidVi+dQjdTidVi;% @@@@ +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=-t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidVj=t3; +t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t2=t2'; +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVj=t3; +dQdVidVj=dQidVidVj+dQjdVidVj;% @@@@@ +%% deltaQ/deltaV_deltaV 对角元素 +t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); +% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t2=diag(t1); +% t3=t1-diag(t2); +% t4=sum(t3,1); +% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +% dQjdVidVi=diag(t5); +dQjdVidVi=0; +dQdVidVi=dQidVidVi+dQjdVidVi; % @@@@ +%% deltaQ/deltaV_deltaThyta 非对角元素 +%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=ones(Busnum,1)*Volt.*(t1); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidTj=t4; +t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=t3'; +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidTj=t4; +dQdVidTj=dQidVidTj+dQjdVidTj;% @@@ +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi;% @ +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角 +%% 生成ddh +t=[zeros(4,14); + zeros(2*Busnum,2*size(PVi,1)),AQi+APi; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_ddh1.m b/func_ddh1.m new file mode 100644 index 0000000..c327fa8 --- /dev/null +++ b/func_ddh1.m @@ -0,0 +1,204 @@ +function ddh=func_ddh1(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi) +%% deltaPi/deltaThytai_deltaThytaj 非对角元素 +ContrlCount=size(PVi,1)*2+Busnum*2; +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +dPdTidTj=t1.*t2; %%(保留了对角元素的) +dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的 +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的 +t3=repmat(Init_Y,size(Init_Y,2),1); +dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@@@@ +%% deltaP/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=sum(t4,2); +t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidTi=diag(t6); +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=t2-diag(diag(t2)); +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +t4=t1.*t2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t5=sum(t4,1); +dPidTjdTj=diag(t5); +dPdTidTi=dPidTidTi+dPidTjdTj;%%最终对角元素 @@@@@@ +%% deltaP/deltaThytai_dVi 对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); +t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t1=t1-diag(diag(t1));%去掉对角元素 +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=t1.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t6=sum(t3,1); +dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@@@@ +%% deltaP/deltaThytai_dVj 非对角元素 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=t2'; +dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@@@ +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=t1-diag(diag(t1)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@@ +%% deltaPi/dVi_deltaThyta 对角元素 +dPdVidTi=dPdTidVi;%最终对角元素 @@ +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +dPidVidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +dPjdVidVj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@@ +%% deltaP/dVi_dVi 对角元素 +t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t1=diag(t0); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@@ +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +t1=-Volt'*Volt; +%t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的 +t3=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +dQjdTidTj=-t1.*t2; +t3=t3'; +dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@@ +%% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=repmat(Init_Y',1,size(Init_Y,2)); +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,2); +dQidTidTi=diag(t7); +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +%t5=t5'; +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,1); +dQjdTidTi=diag(t7); +dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@@ +%% deltaQ/deltaThyta_deltaV 非对角元素 +t1=-Volt; +%t1=Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1'*ones(1,Busnum).*t2; +t4=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=Volt'*ones(1,Busnum).*t2; +t4=t4'; +dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@@@ +%% deltaQ/deltaThyta_deltaV 对角元素 +%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素 +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*t1; +t2=t2-diag(diag(t2)); +t3=sum(t2,2); +t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidVi=diag(t4); +t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t5=sum(t4,1); +dQjdTidVi=diag(t5); +dQdTidVi=dQidTidVi+dQjdTidVi;% @@@@ +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=-t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidVj=t3; +t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t2=t2'; +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVj=t3; +dQdVidVj=dQidVidVj+dQjdVidVj;% @@@@@ +%% deltaQ/deltaV_deltaV 对角元素 +t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); +% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t2=diag(t1); +% t3=t1-diag(t2); +% t4=sum(t3,1); +% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +% dQjdVidVi=diag(t5); +dQjdVidVi=0; +dQdVidVi=dQidVidVi+dQjdVidVi; % @@@@ +%% deltaQ/deltaV_deltaThyta 非对角元素 +%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=ones(Busnum,1)*Volt.*(t1); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidTj=t4; +t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=t3'; +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidTj=t4; +dQdVidTj=dQidVidTj+dQjdVidTj;% @@@ +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi;% @ +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角 +%% 生成ddh +t=[zeros(2*size(PVi,1),ContrlCount); + zeros(2*Busnum,2*size(PVi,1)),AQi+APi; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_ddh2.asv b/func_ddh2.asv new file mode 100644 index 0000000..65ee39b --- /dev/null +++ b/func_ddh2.asv @@ -0,0 +1,205 @@ +function ddh=func_ddh2(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi) +%% deltaPi/deltaThytai_deltaThytaj 非对角元素 +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +dPdTidTj=t1.*t2; %%(保留了对角元素的) +dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的 +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的 +t3=repmat(Init_Y,size(Init_Y,2),1); +dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@@@@@ +%% deltaP/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=sum(t4,2); +t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidTi=diag(t6); +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=t1.*t2; +t2=t2-diag(diag(t2)); +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +t4=t2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t5=sum(t4,1); +dPidTjdTj=diag(t5); +dPdTidTi=dPidTidTi+dPidTjdTj;%%最终对角元素 @@@@@@@ +%% deltaP/deltaThytai_dVi 对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); +t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t1=t1-diag(diag(t1));%去掉对角元素 +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=t1.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t6=sum(t3,1); +dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@@@@ +%% deltaP/deltaThytai_dVj 非对角元素 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=t2'; +dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@@@@ +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=t1-diag(diag(t1)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@@@ +%% deltaPi/dVi_deltaThyta 对角元素 +dPdVidTi=dPdTidVi;%最终对角元素 @@ +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +dPidVidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +dPjdVidVj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@@@ +%% deltaP/dVi_dVi 对角元素 +t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t1=diag(t0); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@@@ +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +t1=-Volt'*Volt; +%t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的 +t3=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +dQjdTidTj=-t1.*t2; +t3=t3'; +dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@@@ +%% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=repmat(Init_Y',1,size(Init_Y,2)); +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,2); +dQidTidTi=diag(t7); +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +%t5=t5'; +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,1); +dQjdTidTi=diag(t7); +dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@@@ +%% deltaQ/deltaThyta_deltaV 非对角元素 +t1=-Volt; +%t1=Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1'*ones(1,Busnum).*t2; +t4=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=Volt'*ones(1,Busnum).*t2; +t4=t4'; +dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@@@@ +%% deltaQ/deltaThyta_deltaV 对角元素 +%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素 +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*t1; +t2=t2-diag(diag(t2)); +t3=sum(t2,2); +t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidVi=diag(t4); +t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t5=sum(t4,1); +dQjdTidVi=diag(t5); +dQdTidVi=dQidTidVi+dQjdTidVi;% @@@@ +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=-t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidVj=t3; +t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t2=t2'; +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVj=t3; +dQdVidVj=dQidVidVj+dQjdVidVj;% @@@@@ +%% deltaQ/deltaV_deltaV 对角元素 +t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); +% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t2=diag(t1); +% t3=t1-diag(t2); +% t4=sum(t3,1); +% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +% dQjdVidVi=diag(t5); +dQjdVidVi=0; +dQdVidVi=dQidVidVi+dQjdVidVi; % @@@@ +%% deltaQ/deltaV_deltaThyta 非对角元素 +%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=ones(Busnum,1)*Volt.*(t1); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidTj=t4; +t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=t3'; +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidTj=t4; +dQdVidTj=dQidVidTj+dQjdVidTj;% @@@ +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi;% @ +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角 +%% 生成ddh +t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount); + zeros(2*Busnum,size(PVi,1)+size(PGi,1)),AQi+APi; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_ddh2.m b/func_ddh2.m new file mode 100644 index 0000000..3259fdf --- /dev/null +++ b/func_ddh2.m @@ -0,0 +1,206 @@ +function ddh=func_ddh2(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi) +%% deltaPi/deltaThytai_deltaThytaj 非对角元素 +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +dPdTidTj=t1.*t2; %%(保留了对角元素的) +dPidTidTj_2=dPdTidTj-diag(diag(dPdTidTj));%去掉了对角元素的 +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +dPidTidTj_2=dPidTidTj_2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=t3-diag(diag(t3));%去掉了对角元素的 +t3=repmat(Init_Y,size(Init_Y,2),1); +dPjdTidTj=dPjdTidTj.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidTj=dPidTidTj_2+dPjdTidTj;%最终非对角元素 @@@@@@@ +%% deltaP/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=sum(t4,2); +t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidTi=diag(t6); +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=t1.*t2; +t2=t2-diag(diag(t2)); +t3=repmat(Init_Y',1,size(Init_Y,2));%乘y的系数 +t4=t2.*t3(1:2:size(Init_Y,2),1:2:size(Init_Y,2)); +t5=sum(t4,1); +dPidTjdTj=diag(t5); +dPdTidTi=dPidTidTi+dPidTjdTj;%%最终对角元素 @@@@@@@ +%% deltaP/deltaThytai_dVi 对角元素 +t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); +t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t1=t1-diag(diag(t1));%去掉对角元素 +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=t1.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t6=sum(t3,1); +dPdTidVi=dPidTidVi+diag(t6);%%最终对角元素 @@@@@@ +%% deltaP/deltaThytai_dVj 非对角元素 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=t1-diag(diag(t1));%%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidTidVj=dPidTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdTidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=t2'; +dPjdTidVj=dPjdTidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdTidVj=dPidTidVj+dPjdTidVj;%最终非对角元素 @@@@@@ +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=t1-diag(diag(t1)); +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidTj=dPidVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidTj=dPjdVidTj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidTj=dPidVidTj+dPjdVidTj;%最终非对角元素 @@@@@ +%% deltaPi/dVi_deltaThyta 对角元素 +dPdVidTi=dPdTidVi;%最终对角元素 @@ +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +dPidVidVj=t1-diag(diag(t1));%去掉对角元素的 +t2=repmat(Init_Y',1,size(Init_Y,2)); +dPidVidVj=dPidVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +dPjdVidVj=t1-diag(diag(t1)); +t2=t2'; +dPjdVidVj=dPjdVidVj.*t2(1:2:size(Init_Y,2),1:2:size(Init_Y,2));%乘y的系数 +dPdVidVj=dPidVidVj+dPjdVidVj;%最终非对角元素 @@@@@@ +%% deltaP/dVi_dVi 对角元素 +t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t1=diag(t0); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj;%最终对角元素 @@@@@ +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +t1=-Volt'*Volt; +%t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +dQidTidTj=t1.*t2;%不去掉对角元素了，反正最后是要修正的 +t3=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidTj=dQidTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +dQjdTidTj=-t1.*t2; +t3=t3'; +dQjdTidTj=dQjdTidTj.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidTj=dQidTidTj+dQjdTidTj;%最终非对角元素 @@@@@ +%% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=repmat(Init_Y',1,size(Init_Y,2)); +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,2); +dQidTidTi=diag(t7); +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +%t5=t5'; +t6=t4.*t5(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t7=sum(t6,1); +dQjdTidTi=diag(t7); +dQdTidTi=dQjdTidTi+dQidTidTi;%最终对角元素 @@@@@ +%% deltaQ/deltaThyta_deltaV 非对角元素 +t1=-Volt; +%t1=Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1'*ones(1,Busnum).*t2; +t4=repmat(Init_Y',1,size(Init_Y,2)); +dQidTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=Volt'*ones(1,Busnum).*t2; +t4=t4'; +dQjdTidVj=t3.*t4(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQdTidVj=dQidTidVj+dQjdTidVj;%最终非对角元素 @@@@@@ +%% deltaQ/deltaThyta_deltaV 对角元素 +%t1=sum(dQidTidVj,2)-diag(dQidTidVj);%去掉对角元素 +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*t1; +t2=t2-diag(diag(t2)); +t3=sum(t2,2); +t4=t3'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidTidVi=diag(t4); +t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +t3=repmat(Init_Y',1,size(Init_Y,2)); +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t5=sum(t4,1); +dQjdTidVi=diag(t5); +dQdTidVi=dQidTidVi+dQjdTidVi;% @@@@ +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=repmat(Init_Y',1,size(Init_Y,2)); +t3=-t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidVj=t3; +t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t2=t2'; +t3=t1.*t2(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidVj=t3; +dQdVidVj=dQidVidVj+dQjdVidVj;% @@@@@@ +%% deltaQ/deltaV_deltaV 对角元素 +t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); +% t1=-real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t2=diag(t1); +% t3=t1-diag(t2); +% t4=sum(t3,1); +% t5=t4.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +% dQjdVidVi=diag(t5); +dQjdVidVi=0; +dQdVidVi=dQidVidVi+dQjdVidVi; % @@@@@ +%% deltaQ/deltaV_deltaThyta 非对角元素 +%t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=ones(Busnum,1)*Volt.*(t1); +t3=repmat(Init_Y',1,size(Init_Y,2)); +%t4=t2'.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQidVidTj=t4; +t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +t3=t3'; +t4=t2.*t3(2:2:size(Init_Y,2),2:2:size(Init_Y,2));%乘y的系数 +dQjdVidTj=t4; +dQdVidTj=dQidVidTj+dQjdVidTj;% @@@@ +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi;% @ +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVi;%%对角 +%% 生成ddh +t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount); + zeros(2*Busnum,size(PVi,1)+size(PGi,1)),AQi+APi; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_ddh3.asv b/func_ddh3.asv new file mode 100644 index 0000000..5704364 --- /dev/null +++ b/func_ddh3.asv @@ -0,0 +1,409 @@ +function ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y) +%决定用循环重写 +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +%deltaPi/deltaThytai_deltaThytaj 非对角元素 +dPidTidTj=zeros(Busnum); +t1=-Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +for I=1:Busnum + for J=1:Busnum + dPidTidTj(I,J)=dPidTidTj(I,J)+Init_Y(2*I-1)*t3(I,J); + end +end +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +dPjdTidTj=zeros(Busnum); + +for I=1:Busnum + for J=1:Busnum + dPjdTidTj(I,J)=dPjdTidTj(I,J)+Init_Y(2*J-1)*t3(I,J); + end +end +dPdTidTj=dPidTidTj+dPjdTidTj;%最终非对角元素 + + + + %% deltaP/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=sum(t4,2); +t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidTi=diag(t6); +t1=Volt'*Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=t1.*t2; +dPidTjdTj=zeros(Busnum); +for J=1:Busnum + for I=1:Busnum + + if I==J + continue; + end + dPidTjdTj(J,J)=dPidTjdTj(J,J)+Init_Y(2*I-1)*t2(I,J); + + end +end + +dPdTidTi=dPidTidTi+dPidTjdTj; +%%%%%%%%% +dPdTidTj=dPdTidTj-diag(diag(dPdTidTj)); +hh=dPdTidTj+dPdTidTi; %#ok + %% deltaP/deltaThytai_dVi 对角元素 + t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t1-diag(t2);%去掉了对角元素的 +t4=sum(t3,2); +t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidTidVi=diag(t4); + +t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPjdTidVi=zeros(Busnum); +for J=1:Busnum + for I=1:Busnum + + if I==J + continue; + end + dPjdTidVi(J,J)=dPjdTidVi(J,J)+Init_Y(2*I-1)*t1(I,J); + + end +end +dPdTidVi=dPidTidVi+dPjdTidVi; +%% deltaP/deltaThytai_dVj 非对角元素 + +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));%20111224 存疑与学姐给的公式不一致 +%t1=ones(1,Busnum)'*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidTidVj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dPidTidVj(I,J)=dPidTidVj(I,J)+Init_Y(2*I-1)*t1(I,J); + end +end + +dPjdTidVj=zeros(Busnum); +t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +for I=1:Busnum + for J=1:Busnum + dPjdTidVj(I,J)=dPjdTidVj(I,J)+Init_Y(2*J-1)*t1(I,J); + end +end + +dPdTidVj=dPidTidVj+dPjdTidVj; +%%%%%%%%%%%%%%%%%%%%%% +dPdTidVj=dPdTidVj-diag(diag(dPdTidVj)); +hh=dPdTidVj+dPdTidVi; %#ok +%% deltaP/dVi_deltaThytaj 非对角元素 +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +dPidVidTj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dPidVidTj(I,J)=dPidVidTj(I,J)+Init_Y(2*I-1)*t1(I,J); + end +end +t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +dPjdVidTj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dPjdVidTj(I,J)=dPjdVidTj(I,J)+Init_Y(2*J-1)*t1(I,J); + end +end +dPdVidTj=dPidVidTj+dPjdVidTj; +%% deltaPi/dVi_deltaThyta 对角元素 + +dPdVidTi=dPdTidVi; +%%%%%%%%%%%%%%%% +dPdVidTj=dPdVidTj-diag(diag(dPdVidTj)); +hh=dPdVidTj+dPdVidTi; +%% deltaP/dVi_dVj 非对角元素 +t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +dPidVidVj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dPidVidVj(I,J)=dPidVidVj(I,J)+Init_Y(2*I-1)*t1(I,J); + end +end + + +t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +dPjdVidVj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dPjdVidVj(I,J)=dPjdVidVj(I,J)+Init_Y(2*J-1)*t1(I,J); + end +end +dPdVidVj=dPidVidVj+dPjdVidVj; + %% deltaP/dVi_dVi 对角元素 +t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t1=diag(t0); +t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +dPidVidVi=-2*diag(t2); +dPidVjdVj=0; +dPdVidVi=dPidVidVi+dPidVjdVj; +%%%%%%%%%%% +dPdVidVj=dPdVidVj-diag(diag(dPdVidVj)); +hh=dPdVidVj+dPdVidVi; +%% 生成APi +APi=zeros(2*Busnum,2*Busnum); +dPdTidTj=dPdTidTj-diag(diag(dPdTidTj)); +dPdTidVj=dPdTidVj-diag(diag(dPdTidVj)); +dPdVidTj=dPdVidTj-diag(diag(dPdVidTj)); +dPdVidVj=dPdVidVj-diag(diag(dPdVidVj)); + +APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV + +APi(1:2:2*Busnum,1:2:2*Busnum)=APi(1:2:2*Busnum,1:2:2*Busnum)+dPdTidTi;%%对角 +APi(1:2:2*Busnum,2:2:2*Busnum)=APi(1:2:2*Busnum,2:2:2*Busnum)+dPdTidVi;%%对角 +APi(2:2:2*Busnum,1:2:2*Busnum)=APi(2:2:2*Busnum,1:2:2*Busnum)+dPdVidTi;%%对角 +APi(2:2:2*Busnum,2:2:2*Busnum)=APi(2:2:2*Busnum,2:2:2*Busnum)+dPdVidVi;%%对角 +%% deltaQ/deltaThyta_deltaThyta 非对角元素 +t1=-Volt'*Volt; +% %t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +dQidTidTj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dQidTidTj(I,J)=dQidTidTj(I,J)+Init_Y(2*I)*t3(I,J); + end +end + +t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +t3=-t1.*t2; + +dQjdTidTj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dQjdTidTj(I,J)=dQjdTidTj(I,J)+Init_Y(2*J)*t3(I,J); + end +end + +dQdTidTj=dQidTidTj+dQjdTidTj; + %% deltaQ/deltaThyta_deltaThyta 对角元素 +t1=Volt'*Volt; +t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t3=t1.*t2; +t4=t3-diag(diag(t3)); +t5=sum(t4,2); +t6=t5'.*Init_Y(2:2:size(Init_Y,2)); +dQidTidTi=diag(t6); +t1=Volt'*Volt; + t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); + t3=t1.*t2; + dQjdTidTi=zeros(Busnum); + for J=1:Busnum + for I=1:Busnum + + if I==J + continue; + end + dQjdTidTi(J,J)=dQjdTidTi(J,J)+Init_Y(2*I)*t3(I,J); + + end + end + +dQdTidTi=dQjdTidTi+dQidTidTi; +%%%%%%%%%%%% +dQdTidTj=dQdTidTj-diag(diag(dQdTidTj)); +hh=dQdTidTj+dQdTidTi; +%% deltaQ/deltaThyta_deltaV 非对角元素 +t1=-Volt; +t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t3=t1'*ones(1,Busnum).*t2; +dQidTidVj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dQidTidVj(I,J)=dQidTidVj(I,J)+Init_Y(2*I)*t3(I,J); + end +end +t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t3=Volt'*ones(1,Busnum).*t2; +dQjdTidVj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + %dQjdTidVj(I,J)=dQidTidVj(I,J)+Init_Y(2*J)*t3(I,J); 20111225 + dQjdTidVj(I,J)=dQjdTidVj(I,J)+Init_Y(2*J)*t3(I,J); + end +end + +dQdTidVj=dQidTidVj+dQjdTidVj; + %% deltaQ/deltaThyta_deltaV 对角元素 + +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*t1; +t2=t2-diag(diag(t2)); +t3=sum(t2,2); +t3=t3'.*Init_Y(2:2:size(Init_Y,2)); +dQidTidVi=diag(t3); + + + +t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +t2=t1-diag(diag(t1)); +dQjdTidVi=zeros(Busnum); +for J=1:Busnum + for I=1:Busnum + + if I==J + continue; + end + dQjdTidVi(J,J)=dQjdTidVi(J,J)+Init_Y(2*I)*t2(I,J); + + end +end + +dQdTidVi=dQidTidVi+dQjdTidVi; +dQdTidVj=dQdTidVj-diag(diag(dQdTidVj)); +hh=dQdTidVj+dQdTidVi; +%% deltaQ/deltaV_deltaV 非对角元素 +t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +t2=-t1; +dQidVidVj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dQidVidVj(I,J)=dQidVidVj(I,J)+Init_Y(2*I)*t2(I,J); + end +end + + t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +dQjdVidVj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dQjdVidVj(I,J)=dQjdVidVj(I,J)+Init_Y(2*J)*t1(I,J); + end +end + +dQdVidVj=dQidVidVj+dQjdVidVj; +%% deltaQ/deltaV_deltaV 对角元素 +t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +t2=diag(t1); +t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +dQidVidVi=diag(t3); + +dQjdVidVi=0; +dQdVidVi=dQidVidVi+dQjdVidVi; +%%%%%%%%%%%%%% +dQdVidVj=dQdVidVj-diag(diag(dQdVidVj)); +hh=dQdVidVi+dQdVidVj; + %% deltaQ/deltaV_deltaThyta 非对角元素 + +t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t2=ones(Busnum,1)*Volt.*(t1); +dQidVidTj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dQidVidTj(I,J)=dQidVidTj(I,J)+Init_Y(2*I)*t2(I,J); + end +end + + +t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +t2=-ones(Busnum,1)*Volt.*(t1); +dQjdVidTj=zeros(Busnum); +for I=1:Busnum + for J=1:Busnum + dQjdVidTj(I,J)=dQjdVidTj(I,J)+Init_Y(2*J)*t2(I,J); + end +end + + dQdVidTj=dQidVidTj+dQjdVidTj; +%% deltaQ/deltaV_deltaThyta 对角元素 +dQdVidTi=dQdTidVi;% @ +dQdVidTj=dQdVidTj-diag(diag(dQdVidTj)); +hhd=dQdVidTi+dQdVidTj; +%% 生成AQi +AQi=zeros(2*Busnum,2*Busnum); +dQdTidTj=dQdTidTj-diag(diag(dQdTidTj)); +dQdTidVj=dQdTidVj-diag(diag(dQdTidVj)); +dQdVidTj=dQdVidTj-diag(diag(dQdVidTj)); +dQdVidVj=dQdVidVj-diag(diag(dQdVidVj)); + +AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV + +AQi(1:2:2*Busnum,1:2:2*Busnum)=AQi(1:2:2*Busnum,1:2:2*Busnum)+dQdTidTi;%%对角 +AQi(1:2:2*Busnum,2:2:2*Busnum)=AQi(1:2:2*Busnum,2:2:2*Busnum)+dQdTidVi;%%对角 +AQi(2:2:2*Busnum,1:2:2*Busnum)=AQi(2:2:2*Busnum,1:2:2*Busnum)+dQdVidTi;%%对角 +AQi(2:2:2*Busnum,2:2:2*Busnum)=AQi(2:2:2*Busnum,2:2:2*Busnum)+dQdVidVi;%%对角 +%% 生成ddh +t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount); + zeros(2*Busnum,size(PVi,1)+size(PGi,1)),AQi+APi; +]; +ddh=t; +%% 以下是学姐给的公式 +AngleIJ=AngleIJMat-angle(GB); +%yP=Init_Y(1:2:size(Init_Y,2)); +yP=Init_Y(1:2:size(Init_Y,2));%暂时改这里 20111227 +%yQ=Init_Y(2:2:size(Init_Y,2)); +t1=-diag(Y.*cos(AngleIJ')*diag(Volt)*yP'); +t2=diag(diag(Volt)*yP')*Y.*cos(AngleIJ); +t3=(t1+t2)*diag(Volt); +t4=-(diag(Y.*cos(AngleIJ)*Volt') -diag(Volt)*Y.*cos(AngleIJ') )*diag(diag(Volt)*yP'); +ddPdTdT=t3+t4;%ok1 +tttt=t2*diag(Volt);%ok1 +ttttt=diag(Volt)*Y.*cos(AngleIJ')*diag(diag(Volt)*yP');%ok1 +tttttt=tttt+ttttt;%ok1 +ttttttt=-diag(Y.*cos(AngleIJ)*Volt')*diag(diag(Volt)*yP')+tttt;%ok1 +tttttttt=diag(Volt)*Y.*cos(AngleIJ')*diag(diag(Volt)*yP')+t1*diag(Volt);%ok1 +t1=(-diag(Y.*sin(AngleIJ)*Volt')+diag(Volt)*Y.*sin(AngleIJ') )*diag(yP); +t2= -diag( diag(Volt)*yP' )*Y.*sin(AngleIJ)+diag(Y.*sin(AngleIJ')*diag(Volt)*yP'); +ddPdVdT=t1+t2;%ok1 +tttt=-diag( diag(Volt)*yP' )*Y.*sin(AngleIJ); +t1=diag( Y.*sin(AngleIJ')*diag(Volt)*yP'); +t2=diag(yP)*Y.*sin(AngleIJ)*diag(Volt); +t3=-diag(yP)*diag(Y.*sin(AngleIJ)*Volt'); +t4=-Y.*sin(AngleIJ')*diag( diag(Volt)*yP' ); +ddPdTdV=t1+t2+t3+t4;%存疑与我的不一样 +tttt=t2; +ttttt=t4; +t1=Y.*cos(AngleIJ')*diag(yP); +t2=diag(yP)*Y.*cos(AngleIJ); +ddPdVdV=t1+t2; +t1=-diag(Y.*sin(AngleIJ)*Volt'); +t2=diag(Volt)*Y.*sin(AngleIJ'); +t3=(t1+t2)*diag( diag(Volt)*yQ' ); +t4=-diag( diag(Volt)*yQ' )*Y.*sin(AngleIJ); + +t5=diag(Y.*sin(AngleIJ')*diag(Volt)*yQ'); +t6=-(t4+t5)*diag(Volt); +ddQdTdT=t3+t6;%ok1 +tttt=-(t4)*diag(Volt); +ttttt=t2*diag( diag(Volt)*yQ' ); +tttttt=t1*diag( diag(Volt)*yQ' )+tttt; +ttttttt=-t5*diag(Volt)+t2*diag( diag(Volt)*yQ' ); +t1=(diag(Y.*cos(AngleIJ)*Volt')-diag(Volt)*Y.*cos(AngleIJ') )*diag(yQ); +t2=+diag( diag(Volt)*yQ' )*Y.*cos(AngleIJ)-diag(Y.*cos(AngleIJ')*diag(Volt)*yQ'); +tttt=diag( diag(Volt)*yQ' )*Y.*cos(AngleIJ); +ttttt=-diag(Volt)*Y.*cos(AngleIJ') *diag(yQ); +ddQdVdT=t1+t2; +t1=Y.*cos(AngleIJ')*diag(diag(Volt)*yQ'); +t2=diag(yQ)*diag(Y.*cos(AngleIJ)*Volt'); +t3=-diag(Y.*cos(AngleIJ')*diag(Volt)*yQ'); +t4=-diag(yQ)*Y.*cos(AngleIJ)*diag(Volt); +ddQdTdV=t1+t2+t3+t4; +t1=Y.*sin(AngleIJ')*diag(yQ); +t2=diag(yQ)*Y.*sin(AngleIJ); +ddQdVdV=t1+t2; +%%%% +t=zeros(2*Busnum); +% t(1:2:2*Busnum,1:2:2*Busnum)=ddPdTdT+ddQdTdT; +% %t(1:2:2*Busnum,2:2:2*Busnum)=ddPdTdV+ddQdTdV; +% %t(2:2:2*Busnum,1:2:2*Busnum)=ddPdVdT+ddQdVdT; +% t(1:2:2*Busnum,2:2:2*Busnum)=ddPdVdT+ddQdVdT; +% t(2:2:2*Busnum,1:2:2*Busnum)=ddPdTdV+ddQdTdV; +% t(2:2:2*Busnum,2:2:2*Busnum)=ddPdVdV+ddQdVdV;暂时改一下 20111227 +t=[ddPdVdV+ddQdVdV,ddPdVdT+ddQdVdT; + ddPdTdV+ddQdTdV,ddPdTdT+ddQdTdT; +]; +t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount); + zeros(2*Busnum,size(PVi,1)+size(PGi,1)),-t; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_ddh3.m b/func_ddh3.m new file mode 100644 index 0000000..9136b93 --- /dev/null +++ b/func_ddh3.m @@ -0,0 +1,413 @@ +function ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y) +%决定用循环重写 +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +%deltaPi/deltaThytai_deltaThytaj 非对角元素 +% dPidTidTj=zeros(Busnum); +% t1=-Volt'*Volt; +% t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t3=t1.*t2; +% for I=1:Busnum +% for J=1:Busnum +% dPidTidTj(I,J)=dPidTidTj(I,J)+Init_Y(2*I-1)*t3(I,J); +% end +% end +% t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +% t3=t1.*t2; +% dPjdTidTj=zeros(Busnum); +% +% for I=1:Busnum +% for J=1:Busnum +% dPjdTidTj(I,J)=dPjdTidTj(I,J)+Init_Y(2*J-1)*t3(I,J); +% end +% end +% dPdTidTj=dPidTidTj+dPjdTidTj;%最终非对角元素 +% +% +% +% %% deltaP/deltaThyta_deltaThyta 对角元素 +% t1=Volt'*Volt; +% t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t3=t1.*t2; +% t4=t3-diag(diag(t3)); +% t5=sum(t4,2); +% t6=t5'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +% dPidTidTi=diag(t6); +% t1=Volt'*Volt; +% t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t2=t1.*t2; +% dPidTjdTj=zeros(Busnum); +% for J=1:Busnum +% for I=1:Busnum +% +% if I==J +% continue; +% end +% dPidTjdTj(J,J)=dPidTjdTj(J,J)+Init_Y(2*I-1)*t2(I,J); +% +% end +% end +% +% dPdTidTi=dPidTidTi+dPidTjdTj; +% %%%%%%%%% +% dPdTidTj=dPdTidTj-diag(diag(dPdTidTj)); +% hh=dPdTidTj+dPdTidTi; %#ok +% %% deltaP/deltaThytai_dVi 对角元素 +% t1=ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +% t2=diag(t1); +% t3=t1-diag(t2);%去掉了对角元素的 +% t4=sum(t3,2); +% t4=t4'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +% dPidTidVi=diag(t4); +% +% t1=-Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +% dPjdTidVi=zeros(Busnum); +% for J=1:Busnum +% for I=1:Busnum +% +% if I==J +% continue; +% end +% dPjdTidVi(J,J)=dPjdTidVi(J,J)+Init_Y(2*I-1)*t1(I,J); +% +% end +% end +% dPdTidVi=dPidTidVi+dPjdTidVi; +% %% deltaP/deltaThytai_dVj 非对角元素 +% +% t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat));%20111224 存疑与学姐给的公式不一致 +% %t1=ones(1,Busnum)'*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +% dPidTidVj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dPidTidVj(I,J)=dPidTidVj(I,J)+Init_Y(2*I-1)*t1(I,J); +% end +% end +% +% dPjdTidVj=zeros(Busnum); +% t1=Volt'*ones(1,Busnum).*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +% for I=1:Busnum +% for J=1:Busnum +% dPjdTidVj(I,J)=dPjdTidVj(I,J)+Init_Y(2*J-1)*t1(I,J); +% end +% end +% +% dPdTidVj=dPidTidVj+dPjdTidVj; +% %%%%%%%%%%%%%%%%%%%%%% +% dPdTidVj=dPdTidVj-diag(diag(dPdTidVj)); +% hh=dPdTidVj+dPdTidVi; %#ok +% %% deltaP/dVi_deltaThytaj 非对角元素 +% t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +% dPidVidTj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dPidVidTj(I,J)=dPidVidTj(I,J)+Init_Y(2*I-1)*t1(I,J); +% end +% end +% t1=-ones(Busnum,1)*Volt.*(real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat)); +% dPjdVidTj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dPjdVidTj(I,J)=dPjdVidTj(I,J)+Init_Y(2*J-1)*t1(I,J); +% end +% end +% dPdVidTj=dPidVidTj+dPjdVidTj; +% %% deltaPi/dVi_deltaThyta 对角元素 +% +% dPdVidTi=dPdTidVi; +% %%%%%%%%%%%%%%%% +% dPdVidTj=dPdVidTj-diag(diag(dPdVidTj)); +% hh=dPdVidTj+dPdVidTi; +% %% deltaP/dVi_dVj 非对角元素 +% t1=-(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +% dPidVidVj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dPidVidVj(I,J)=dPidVidVj(I,J)+Init_Y(2*I-1)*t1(I,J); +% end +% end +% +% +% t1=-(real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat)); +% dPjdVidVj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dPjdVidVj(I,J)=dPjdVidVj(I,J)+Init_Y(2*J-1)*t1(I,J); +% end +% end +% dPdVidVj=dPidVidVj+dPjdVidVj; +% %% deltaP/dVi_dVi 对角元素 +% t0=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t1=diag(t0); +% t2=t1'.*Init_Y(1:2:size(Init_Y,2));%乘y的系数 +% dPidVidVi=-2*diag(t2); +% dPidVjdVj=0; +% dPdVidVi=dPidVidVi+dPidVjdVj; +% %%%%%%%%%%% +% dPdVidVj=dPdVidVj-diag(diag(dPdVidVj)); +% hh=dPdVidVj+dPdVidVi; +% %% 生成APi +% APi=zeros(2*Busnum,2*Busnum); +% dPdTidTj=dPdTidTj-diag(diag(dPdTidTj)); +% dPdTidVj=dPdTidVj-diag(diag(dPdTidVj)); +% dPdVidTj=dPdVidTj-diag(diag(dPdVidTj)); +% dPdVidVj=dPdVidVj-diag(diag(dPdVidVj)); +% +% APi(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT +% APi(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV +% APi(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT +% APi(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV +% +% APi(1:2:2*Busnum,1:2:2*Busnum)=APi(1:2:2*Busnum,1:2:2*Busnum)+dPdTidTi;%%对角 +% APi(1:2:2*Busnum,2:2:2*Busnum)=APi(1:2:2*Busnum,2:2:2*Busnum)+dPdTidVi;%%对角 +% APi(2:2:2*Busnum,1:2:2*Busnum)=APi(2:2:2*Busnum,1:2:2*Busnum)+dPdVidTi;%%对角 +% APi(2:2:2*Busnum,2:2:2*Busnum)=APi(2:2:2*Busnum,2:2:2*Busnum)+dPdVidVi;%%对角 +% %% deltaQ/deltaThyta_deltaThyta 非对角元素 +% t1=-Volt'*Volt; +% % %t1=Volt'*Volt; +% t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t3=t1.*t2; +% dQidTidTj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dQidTidTj(I,J)=dQidTidTj(I,J)+Init_Y(2*I)*t3(I,J); +% end +% end +% +% t2=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +% t3=-t1.*t2; +% +% dQjdTidTj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dQjdTidTj(I,J)=dQjdTidTj(I,J)+Init_Y(2*J)*t3(I,J); +% end +% end +% +% dQdTidTj=dQidTidTj+dQjdTidTj; +% %% deltaQ/deltaThyta_deltaThyta 对角元素 +% t1=Volt'*Volt; +% t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t3=t1.*t2; +% t4=t3-diag(diag(t3)); +% t5=sum(t4,2); +% t6=t5'.*Init_Y(2:2:size(Init_Y,2)); +% dQidTidTi=diag(t6); +% t1=Volt'*Volt; +% t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t3=t1.*t2; +% dQjdTidTi=zeros(Busnum); +% for J=1:Busnum +% for I=1:Busnum +% +% if I==J +% continue; +% end +% dQjdTidTi(J,J)=dQjdTidTi(J,J)+Init_Y(2*I)*t3(I,J); +% +% end +% end +% +% dQdTidTi=dQjdTidTi+dQidTidTi; +% %%%%%%%%%%%% +% dQdTidTj=dQdTidTj-diag(diag(dQdTidTj)); +% hh=dQdTidTj+dQdTidTi; +% %% deltaQ/deltaThyta_deltaV 非对角元素 +% t1=-Volt; +% t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t3=t1'*ones(1,Busnum).*t2; +% dQidTidVj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dQidTidVj(I,J)=dQidTidVj(I,J)+Init_Y(2*I)*t3(I,J); +% end +% end +% t2=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +% t3=Volt'*ones(1,Busnum).*t2; +% dQjdTidVj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% %dQjdTidVj(I,J)=dQidTidVj(I,J)+Init_Y(2*J)*t3(I,J); 20111225 +% dQjdTidVj(I,J)=dQjdTidVj(I,J)+Init_Y(2*J)*t3(I,J); +% end +% end +% +% dQdTidVj=dQidTidVj+dQjdTidVj; +% %% deltaQ/deltaThyta_deltaV 对角元素 +% +% t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t2=-ones(Busnum,1)*Volt.*t1; +% t2=t2-diag(diag(t2)); +% t3=sum(t2,2); +% t3=t3'.*Init_Y(2:2:size(Init_Y,2)); +% dQidTidVi=diag(t3); +% +% +% +% t1=Volt'*ones(1,Busnum).*(real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat)); +% t2=t1-diag(diag(t1)); +% dQjdTidVi=zeros(Busnum); +% for J=1:Busnum +% for I=1:Busnum +% +% if I==J +% continue; +% end +% dQjdTidVi(J,J)=dQjdTidVi(J,J)+Init_Y(2*I)*t2(I,J); +% +% end +% end +% +% dQdTidVi=dQidTidVi+dQjdTidVi; +% dQdTidVj=dQdTidVj-diag(diag(dQdTidVj)); +% hh=dQdTidVj+dQdTidVi; +% %% deltaQ/deltaV_deltaV 非对角元素 +% t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat); +% t2=-t1; +% dQidVidVj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dQidVidVj(I,J)=dQidVidVj(I,J)+Init_Y(2*I)*t2(I,J); +% end +% end +% +% t1=real(GB).*sin(AngleIJMat)+imag(GB).*cos(AngleIJMat); +% dQjdVidVj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dQjdVidVj(I,J)=dQjdVidVj(I,J)+Init_Y(2*J)*t1(I,J); +% end +% end +% +% dQdVidVj=dQidVidVj+dQjdVidVj; +% %% deltaQ/deltaV_deltaV 对角元素 +% t1=-2*(real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat)); +% t2=diag(t1); +% t3=t2'.*Init_Y(2:2:size(Init_Y,2));%乘y的系数 +% dQidVidVi=diag(t3); +% +% dQjdVidVi=0; +% dQdVidVi=dQidVidVi+dQjdVidVi; +% %%%%%%%%%%%%%% +% dQdVidVj=dQdVidVj-diag(diag(dQdVidVj)); +% hh=dQdVidVi+dQdVidVj; +% %% deltaQ/deltaV_deltaThyta 非对角元素 +% +% t1=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t2=ones(Busnum,1)*Volt.*(t1); +% dQidVidTj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dQidVidTj(I,J)=dQidVidTj(I,J)+Init_Y(2*I)*t2(I,J); +% end +% end +% +% +% t1=real(GB).*cos(AngleIJMat)-imag(GB).*sin(AngleIJMat); +% t2=-ones(Busnum,1)*Volt.*(t1); +% dQjdVidTj=zeros(Busnum); +% for I=1:Busnum +% for J=1:Busnum +% dQjdVidTj(I,J)=dQjdVidTj(I,J)+Init_Y(2*J)*t2(I,J); +% end +% end +% +% dQdVidTj=dQidVidTj+dQjdVidTj; +% %% deltaQ/deltaV_deltaThyta 对角元素 +% dQdVidTi=dQdTidVi;% @ +% dQdVidTj=dQdVidTj-diag(diag(dQdVidTj)); +% hhd=dQdVidTi+dQdVidTj; +% %% 生成AQi +% AQi=zeros(2*Busnum,2*Busnum); +% dQdTidTj=dQdTidTj-diag(diag(dQdTidTj)); +% dQdTidVj=dQdTidVj-diag(diag(dQdTidVj)); +% dQdVidTj=dQdVidTj-diag(diag(dQdVidTj)); +% dQdVidVj=dQdVidVj-diag(diag(dQdVidVj)); +% +% AQi(1:2:2*Busnum,1:2:2*Busnum)=dQdTidTj;%%非对角 TT +% AQi(1:2:2*Busnum,2:2:2*Busnum)=dQdTidVj;%%非对角 TV +% AQi(2:2:2*Busnum,1:2:2*Busnum)=dQdVidTj;%%非对角 VT +% AQi(2:2:2*Busnum,2:2:2*Busnum)=dQdVidVj;%%非对角 VV +% +% AQi(1:2:2*Busnum,1:2:2*Busnum)=AQi(1:2:2*Busnum,1:2:2*Busnum)+dQdTidTi;%%对角 +% AQi(1:2:2*Busnum,2:2:2*Busnum)=AQi(1:2:2*Busnum,2:2:2*Busnum)+dQdTidVi;%%对角 +% AQi(2:2:2*Busnum,1:2:2*Busnum)=AQi(2:2:2*Busnum,1:2:2*Busnum)+dQdVidTi;%%对角 +% AQi(2:2:2*Busnum,2:2:2*Busnum)=AQi(2:2:2*Busnum,2:2:2*Busnum)+dQdVidVi;%%对角 +% %% 生成ddh +% t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount); +% zeros(2*Busnum,size(PVi,1)+size(PGi,1)),AQi+APi; +% ]; +% ddh=t; +%% 以下是学姐给的公式 +AngleIJ=AngleIJMat-angle(GB); +%yP=Init_Y(1:2:size(Init_Y,2)); +yP=Init_Y(1:size(Init_Y,2)/2);%暂时改这里 20111227 +%yQ=Init_Y(2:2:size(Init_Y,2)); +yQ=Init_Y(size(Init_Y,2)/2+1:size(Init_Y,2));%暂时改这里 20111227 +t1=-diag(Y.*cos(AngleIJ')*diag(Volt)*yP'); +t2=diag(diag(Volt)*yP')*Y.*cos(AngleIJ); +t3=(t1+t2)*diag(Volt); +t4=-(diag(Y.*cos(AngleIJ)*Volt') -diag(Volt)*Y.*cos(AngleIJ') )*diag(diag(Volt)*yP'); +ddPdTdT=t3+t4;%ok1 +% tttt=t2*diag(Volt);%ok1 +% ttttt=diag(Volt)*Y.*cos(AngleIJ')*diag(diag(Volt)*yP');%ok1 +% tttttt=tttt+ttttt;%ok1 +% ttttttt=-diag(Y.*cos(AngleIJ)*Volt')*diag(diag(Volt)*yP')+tttt;%ok1 +% tttttttt=diag(Volt)*Y.*cos(AngleIJ')*diag(diag(Volt)*yP')+t1*diag(Volt);%ok1 +t1=(-diag(Y.*sin(AngleIJ)*Volt')+diag(Volt)*Y.*sin(AngleIJ') )*diag(yP); +t2= -diag( diag(Volt)*yP' )*Y.*sin(AngleIJ)+diag(Y.*sin(AngleIJ')*diag(Volt)*yP'); +ddPdVdT=t1+t2;%ok1 +%tttt=-diag( diag(Volt)*yP' )*Y.*sin(AngleIJ); +t1=diag( Y.*sin(AngleIJ')*diag(Volt)*yP'); +t2=diag(yP)*Y.*sin(AngleIJ)*diag(Volt); +t3=-diag(yP)*diag(Y.*sin(AngleIJ)*Volt'); +t4=-Y.*sin(AngleIJ')*diag( diag(Volt)*yP' ); +ddPdTdV=t1+t2+t3+t4;%存疑与我的不一样 +% tttt=t2; +% ttttt=t4; +t1=Y.*cos(AngleIJ')*diag(yP); +t2=diag(yP)*Y.*cos(AngleIJ); +ddPdVdV=t1+t2; +t1=-diag(Y.*sin(AngleIJ)*Volt'); +t2=diag(Volt)*Y.*sin(AngleIJ'); +t3=(t1+t2)*diag( diag(Volt)*yQ' ); +t4=-diag( diag(Volt)*yQ' )*Y.*sin(AngleIJ); + +t5=diag(Y.*sin(AngleIJ')*diag(Volt)*yQ'); +t6=-(t4+t5)*diag(Volt); +ddQdTdT=t3+t6;%ok1 +% tttt=-(t4)*diag(Volt); +% ttttt=t2*diag( diag(Volt)*yQ' ); +% tttttt=t1*diag( diag(Volt)*yQ' )+tttt; +% ttttttt=-t5*diag(Volt)+t2*diag( diag(Volt)*yQ' ); +t1=(diag(Y.*cos(AngleIJ)*Volt')-diag(Volt)*Y.*cos(AngleIJ') )*diag(yQ); +t2=+diag( diag(Volt)*yQ' )*Y.*cos(AngleIJ)-diag(Y.*cos(AngleIJ')*diag(Volt)*yQ'); +% tttt=diag( diag(Volt)*yQ' )*Y.*cos(AngleIJ); +% ttttt=-diag(Volt)*Y.*cos(AngleIJ') *diag(yQ); +ddQdVdT=t1+t2; +t1=Y.*cos(AngleIJ')*diag(diag(Volt)*yQ'); +t2=diag(yQ)*diag(Y.*cos(AngleIJ)*Volt'); +t3=-diag(Y.*cos(AngleIJ')*diag(Volt)*yQ'); +t4=-diag(yQ)*Y.*cos(AngleIJ)*diag(Volt); +ddQdTdV=t1+t2+t3+t4; +t1=Y.*sin(AngleIJ')*diag(yQ); +t2=diag(yQ)*Y.*sin(AngleIJ); +ddQdVdV=t1+t2; +%%%% +%t=zeros(2*Busnum); +% t(1:2:2*Busnum,1:2:2*Busnum)=ddPdTdT+ddQdTdT; +% %t(1:2:2*Busnum,2:2:2*Busnum)=ddPdTdV+ddQdTdV; +% %t(2:2:2*Busnum,1:2:2*Busnum)=ddPdVdT+ddQdVdT; +% t(1:2:2*Busnum,2:2:2*Busnum)=ddPdVdT+ddQdVdT; +% t(2:2:2*Busnum,1:2:2*Busnum)=ddPdTdV+ddQdTdV; +% t(2:2:2*Busnum,2:2:2*Busnum)=ddPdVdV+ddQdVdV;暂时改一下 20111227 +% t=[ddPdVdV+ddQdVdV,ddPdVdT+ddQdVdT; +% ddPdTdV+ddQdTdV,ddPdTdT+ddQdTdT; +% ];再改20111227 +t=[ddPdVdV+ddQdVdV,ddPdTdV+ddQdTdV ; + ddPdVdT+ddQdVdT,ddPdTdT+ddQdTdT; +]; +t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount); + zeros(2*Busnum,size(PVi,1)+size(PGi,1)),-t; +]; +ddh=t; +end \ No newline at end of file diff --git a/func_deltF.asv b/func_deltF.asv new file mode 100644 index 0000000..c705f46 --- /dev/null +++ b/func_deltF.asv @@ -0,0 +1,14 @@ +function deltF=func_deltF(PG,GB,Balance,PVi,AngleIJMat,GenC) +t1=PG(PVi); +t2=Volt'*Volt; +t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +t4=t2.*t3; +t5=sum(t4,2); +PBal=t5(Balance); +PPG=([PG',PBal])'; +%% +c2=GenC(:,1); +c1=GenC(:,2); +t1=PPG.*c2+c1; + +end \ No newline at end of file diff --git a/func_deltF.m b/func_deltF.m new file mode 100644 index 0000000..83d3081 --- /dev/null +++ b/func_deltF.m @@ -0,0 +1,18 @@ +function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi) +%t1=PG(setdiff(PVi,Balance)); +% t2=Volt'*Volt; +% t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); +% t4=t2.*t3; +% t5=sum(t4,2); +% PBal=t5(Balance); +% PPG=([PQ(1),PBal])';%暂时用土办法处理一下 +%% +c2=GenC(:,2); +c1=GenC(:,3); +t1=2*PG(PGi).*c2+c1; +deltF=[ + t1; + zeros(ContrlCount-size(PGi,1),1); +]; + +end \ No newline at end of file diff --git a/func_deltG.asv b/func_deltG.asv new file mode 100644 index 0000000..f3a7d0f --- /dev/null +++ b/func_deltG.asv @@ -0,0 +1,78 @@ +function deltG=func_deltG(Busnum,PVi,GB,Volt,UAngel,indexi,indexj,PGi) +dg1_dPg=eye(size(PGi,1)); +dg2_dPg=zeros(size(PGi,1)); +dg3_dPg=zeros(size(PGi,1),Busnum); +dg4_dPg=zeros(size(PGi,1),Busnum); + +%% +dg1_dQr=zeros(size(PVi,1)); +dg2_dQr=eye(size(PVi,1)); +dg3_dQr=zeros(size(PVi,1),Busnum); +dg4_dQr=zeros(size(PVi,1),Busnum); +%% +dg1_dx=zeros(2*Busnum,2); +dg2_dx=zeros(2*Busnum,2); +dg3_dx=zeros(2*Busnum,Busnum); +for I=1:Busnum + dg3_dx(2*I,I)=1; +end + +dg4_dx=zeros(2*Busnum,Busnum); +indexi=indexi'; +indexj=indexj'; + +%% 线路 +t1=Volt(indexi).*Volt(indexj); +t2=real(... + GB( ... + sub2ind(size(GB),indexi,indexj) ... + ... + )... + ).*... + sin(... + UAngel(indexi)'-UAngel(indexj)'... + ); + + t3=imag(... + GB( sub2ind(size(GB),indexi,indexj) )... + ).*... + cos(... + UAngel(indexi)'-UAngel(indexj)'... + ); +dPij_dThytai=t1.*(t2-t3)'; +%% +t1=-Volt(indexj); +t2=real(... + GB( ... + sub2ind(size(GB),indexi,indexj) ... + ... + )... + ).*... + cos(... + UAngel(indexi)'-UAngel(indexj)' ... + ); + + t3=imag(... + GB( sub2ind(size(GB),indexi,indexj) )... + ).*... + sin(... + UAngel(indexi)'-UAngel(indexj)'... + ); + + t4=2*Volt(indexi).*real(... + GB( sub2ind(size(GB),indexi,indexj) )... + )'; +dPij_dVi=t4+t1.*(t2+t3)'; +dPij_dVj=-Volt(indexi).*(t2+t3)'; +%% 开始形成dg4_dx +for I=1:size(indexi,1) + dg4_dx(2*indexi(I)-1,I)=dPij_dThytai(I); + dg4_dx(2*indexj(I)-1,I)=-dPij_dThytai(I); + dg4_dx(2*indexi(I),I)=dPij_dVi(I); + dg4_dx(2*indexj(I),I)=dPij_dVj(I); +end +%% +deltG=[dg1_dPg,dg2_dPg,dg3_dPg,dg4_dPg; + dg1_dQr,dg2_dQr,dg3_dQr,dg4_dQr; + dg1_dx,dg2_dx,dg3_dx,dg4_dx; +]; \ No newline at end of file diff --git a/func_deltG.m b/func_deltG.m new file mode 100644 index 0000000..cb2b272 --- /dev/null +++ b/func_deltG.m @@ -0,0 +1,21 @@ +function deltG=func_deltG(Busnum,PVi,PGi) +dg1_dPg=eye(size(PGi,1)); +dg2_dPg=zeros(size(PGi,1),size(PVi,1)); +dg3_dPg=zeros(size(PGi,1),Busnum); +%% +dg1_dQr=zeros(size(PVi,1),size(PGi,1)); +dg2_dQr=eye(size(PVi,1)); +dg3_dQr=zeros(size(PVi,1),Busnum); +%% +dg1_dx=zeros(2*Busnum,size(PGi,1)); +dg2_dx=zeros(2*Busnum,size(PVi,1)); +dg3_dx=zeros(2*Busnum,Busnum); +for I=1:Busnum + %dg3_dx(2*I,I)=1;暂时改一下 + dg3_dx(I,I)=1; +end +%% +deltG=[dg1_dPg,dg2_dPg,dg3_dPg; + dg1_dQr,dg2_dQr,dg3_dQr; + dg1_dx,dg2_dx,dg3_dx; +]; \ No newline at end of file diff --git a/func_deltH.asv b/func_deltH.asv new file mode 100644 index 0000000..56dfec9 --- /dev/null +++ b/func_deltH.asv @@ -0,0 +1,20 @@ +function deltH=func_deltH(Busnum,Volt,PVi,AngleIJMat,Y,GB,PGi) +dH_dPg=zeros(size(PGi,1)+size(PVi,1),2*Busnum); + +for I=1:size(PGi,1) + %dH_dPg(I,2*PVi(I)-1)=-1;王锡凡书上的公式 + %dH_dPg(I,2*PGi(I)-1)=1;暂时改一下20111227 + dH_dPg(I,PGi(I))=1; +end + +dH_dQr=zeros(size(PVi,1)+size(PGi,1),2*Busnum); +for I=1:size(PVi,1) + %dH_dQr(I,2*PVi(I))=-1;王锡凡书上的公式 + %dH_dQr(I,2*PVi(I))=1;暂时改一下20111227 + dH_dQr(I,PVi(I))=1; +end +Angle=angle(GB); +dH_dx = jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat); %形成雅克比矩阵 +%deltH=[dH_dPg;dH_dQr;dH_dx'];%dH_dx 需要使用一下转置 暂时改一下 +deltH=[dH_dPg;dH_dQr;dH_dx']; +end \ No newline at end of file diff --git a/func_deltH.m b/func_deltH.m new file mode 100644 index 0000000..6143885 --- /dev/null +++ b/func_deltH.m @@ -0,0 +1,20 @@ +function deltH=func_deltH(Busnum,Volt,PVi,AngleIJMat,Y,GB,PGi) +dH_dPg=zeros(size(PGi,1),2*Busnum); + +for I=1:size(PGi,1) + %dH_dPg(I,2*PVi(I)-1)=-1;王锡凡书上的公式 + %dH_dPg(I,2*PGi(I)-1)=1;暂时改一下20111227 + dH_dPg(I,PGi(I))=1; +end + +dH_dQr=zeros(size(PVi,1),2*Busnum); +for I=1:size(PVi,1) + %dH_dQr(I,2*PVi(I))=-1;王锡凡书上的公式 + %dH_dQr(I,2*PVi(I))=1;暂时改一下20111227 + dH_dQr(I,PVi(I)+Busnum)=1; +end +Angle=angle(GB); +dH_dx = jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat); %形成雅克比矩阵 +%deltH=[dH_dPg;dH_dQr;dH_dx'];%dH_dx 需要使用一下转置 暂时改一下 +deltH=[dH_dPg;dH_dQr;dH_dx']; +end \ No newline at end of file diff --git a/func_deltdeltF.asv b/func_deltdeltF.asv new file mode 100644 index 0000000..10ebf6b --- /dev/null +++ b/func_deltdeltF.asv @@ -0,0 +1,16 @@ +function deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi) +%t1=deltG*[L_1Z-U_1W]*deltG'; +%TotalDim=2*Busnum+2*size(PVi,1); +% deltdeltF=[diag(GenC(:,2))*2,zeros(size(GenC,1),TotalDim-size(GenC,1)); +% zeros(TotalDim-size(GenC,1),TotalDim) +% ]; +% deltdeltF=[diag(GenC(:,2))*2,zeros(2,12); +% zeros(12,14); +% ]; +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; %P,Q,Volt theta这些控制变量数 +t=zeros(size(PGi,1)); +t(PGi,PGi)=GenC(:,2); +deltdeltF=[t*2,zeros()); + zeros(ContrlCount-size(GenC,1),ContrlCount); + ]; +end \ No newline at end of file diff --git a/func_deltdeltF.m b/func_deltdeltF.m new file mode 100644 index 0000000..f6bdaaa --- /dev/null +++ b/func_deltdeltF.m @@ -0,0 +1,8 @@ +function deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi) + +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; %P,Q,Volt theta这些控制变量数 +deltdeltF=[diag(GenC(:,2))*2,zeros(size(GenC,1),ContrlCount-size(GenC,1)); + zeros(ContrlCount-size(GenC,1),ContrlCount); + ]; + +end \ No newline at end of file diff --git a/imbalance.m b/imbalance.m new file mode 100644 index 0000000..1c8da92 --- /dev/null +++ b/imbalance.m @@ -0,0 +1,13 @@ +function [P0,Q0,U,Uangle]=imbalance(PG,PD,PQstandard,Pointpoweri,QG,QD,Busnum) +%************************************************************************** +% 程序功能 : 子函数——计算功率不平衡分量等 +% 编 者： 梁 捷 +% 编制时间 ：2010.12 +%************************************************************************** +%% 计算功率的不平衡分量 +P0=(PG-PD)/PQstandard; % 求取节点注入有功功率的标幺值 +Q0=(QG-QD)/PQstandard; % 求取节点注入无功功率的标幺值 +%% 平启动赋电压初值 +U=ones(1,Busnum); % 按照平启动给电压幅值赋值 +Uangle=zeros(1,Busnum); % 按照平启动给电压相角赋值 +end \ No newline at end of file diff --git a/jacobian.m b/jacobian.m new file mode 100644 index 0000000..4c8d657 --- /dev/null +++ b/jacobian.m @@ -0,0 +1,38 @@ +function [Jacob,PQ,U,Uangle]=jacobian(Busnum,Balance,PVi,PVu,U,Uangle,Y,Angle,P0,Q0,r,c) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +AngleIJ = Uangle(r) - Uangle(c)- Angle'; +U(PVi) = PVu; +temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量 +temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2); +temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2); +temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum); +temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum); +H = temp1.*sparse(r,c,sin(AngleIJ))-temp4; +L = temp1.*sparse(r,c,sin(AngleIJ))+temp4; +N = temp1.*sparse(r,c,cos(AngleIJ))+temp5; +J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5; + +Q = Q0+temp2'; %求有功分量P +P = P0+temp3'; %求无功分量Q +%% 处理平衡节点和pv节点 +H(:,Balance) = 0; +H(Balance,:) = 0; +H(Balance,Balance) = 100; % 平衡节点对应的对角元素置一个有限数 +L(:,PVi) = 0; +L(PVi,:) = 0; +L = L+sparse(PVi,PVi,ones(1,length(PVi)),Busnum,Busnum); % PV节点对应的对角元素置为1 +J(:,Balance) = 0; +J(PVi,:) = 0; +N(:,PVi) = 0; +N(Balance,:) = 0; +Q(PVi) = 0; % 将pv节点的无功不平衡分量置零 +P(Balance) = 0; % 平衡节点的有功功率不平衡分量置零 +%% 合成PQ和雅可比矩阵 +PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +end \ No newline at end of file diff --git a/jacobian_M.asv b/jacobian_M.asv new file mode 100644 index 0000000..f838a14 --- /dev/null +++ b/jacobian_M.asv @@ -0,0 +1,60 @@ +function Jacob=jacobian_M(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +temp1=-Volt'*Volt.*Y; +AngleIJ=AngleIJMat-Angle; +temp11=Volt'*ones(1,Busnum).*Y; +temp2=sum(temp1.*sin(AngleIJ),2); +temp22 = sum(temp11.*sin(AngleIJ),2); +temp3 = sum(temp1.*cos(AngleIJ),2); +temp33 = sum(temp11.*cos(AngleIJ),2); +temp4=diag(temp2); +temp44=diag(temp22); +temp5=diag(temp3); +temp55=diag(temp33); +%计算Lii的累加项 +t1=ones(Busnum,1)*Volt.*Y; +t2=sum(t1.*sin(AngleIJ),2); +t3=sum(t1.*cos(AngleIJ),2); + +t4=diag(t2); +H = temp1.*sin(AngleIJ)-temp4;% +L = -temp11.*sin(AngleIJ);% +%L(1:Busnum,1:Busnum)=-temp44+; +L=L-t3.* +N=-temp11.*cos(AngleIJ);% +N(1:Busnum,1:Busnum)=-temp55-diag(diag(temp11.*cos(Angle) ) ); +J = -temp1.*cos(AngleIJ)+temp5;% +%% + + +%Q = Q0+temp2'; %求有功分量P +%P = P0+temp3'; %求无功分量Q +%% 处理平衡节点和pv节点 +% H(:,Balance) = 0; +% H(Balance,:) = 0; +% H(Balance,Balance) = 100; % 平衡节点对应的对角元素置一个有限数 +% L(:,PVi) = 0; +% L(PVi,:) = 0; +% L = L+sparse(PVi,PVi,ones(1,length(PVi)),Busnum,Busnum); % PV节点对应的对角元素置为1 +% J(:,Balance) = 0; +% J(PVi,:) = 0; +% N(:,PVi) = 0; +% N(Balance,:) = 0; +% Q(PVi) = 0; % 将pv节点的无功不平衡分量置零 +% P(Balance) = 0; % 平衡节点的有功功率不平衡分量置零 +%% 合成PQ和雅可比矩阵 +t1=zeros(2*Busnum); +t1(1:2:2*Busnum,1:2:2*Busnum)=H; +t1(1:2:2*Busnum,2:2:2*Busnum)=N; +t1(2:2:2*Busnum,1:2:2*Busnum)=J; +t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% t1(1:) +% PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +%Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +Jacob=t1; +end \ No newline at end of file diff --git a/jacobian_M.m b/jacobian_M.m new file mode 100644 index 0000000..e01eb26 --- /dev/null +++ b/jacobian_M.m @@ -0,0 +1,61 @@ +function Jacob=jacobian_M(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +temp1=-Volt'*Volt.*Y; +AngleIJ=AngleIJMat-Angle; +temp11=Volt'*ones(1,Busnum).*Y; +temp2=sum(temp1.*sin(AngleIJ),2); +temp22 = sum(temp11.*sin(AngleIJ),2); +temp3 = sum(temp1.*cos(AngleIJ),2); +temp33 = sum(temp11.*cos(AngleIJ),2); +temp4=diag(temp2); +temp44=diag(temp22); +temp5=diag(temp3); +temp55=diag(temp33); +%计算Lii的累加项 +t1=ones(Busnum,1)*Volt.*Y; +t2=sum(t1.*sin(AngleIJ),2); +t3=sum(t1.*cos(AngleIJ),2); +t4=diag(t2); +t5=diag(t3); +H = temp1.*sin(AngleIJ)-temp4;% +L = -temp11.*sin(AngleIJ);% +%L(1:Busnum,1:Busnum)=-temp44+; +L=L-t4; +N=-temp11.*cos(AngleIJ);% +%N(1:Busnum,1:Busnum)=-temp55-diag(diag(temp11.*cos(Angle) ) ); +N=N-t5; +J = -temp1.*cos(AngleIJ)+temp5;% +%% + + +%Q = Q0+temp2'; %求有功分量P +%P = P0+temp3'; %求无功分量Q +%% 处理平衡节点和pv节点 +% H(:,Balance) = 0; +% H(Balance,:) = 0; +% H(Balance,Balance) = 100; % 平衡节点对应的对角元素置一个有限数 +% L(:,PVi) = 0; +% L(PVi,:) = 0; +% L = L+sparse(PVi,PVi,ones(1,length(PVi)),Busnum,Busnum); % PV节点对应的对角元素置为1 +% J(:,Balance) = 0; +% J(PVi,:) = 0; +% N(:,PVi) = 0; +% N(Balance,:) = 0; +% Q(PVi) = 0; % 将pv节点的无功不平衡分量置零 +% P(Balance) = 0; % 平衡节点的有功功率不平衡分量置零 +%% 合成PQ和雅可比矩阵 +t1=zeros(2*Busnum); +t1(1:2:2*Busnum,1:2:2*Busnum)=H; +t1(1:2:2*Busnum,2:2:2*Busnum)=N; +t1(2:2:2*Busnum,1:2:2*Busnum)=J; +t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% t1(1:) +% PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +%Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +Jacob=t1; +end \ No newline at end of file diff --git a/jacobian_M1.m b/jacobian_M1.m new file mode 100644 index 0000000..a2684ab --- /dev/null +++ b/jacobian_M1.m @@ -0,0 +1,84 @@ +function [Jacob]=jacobian_M1(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +%Volt(PVi) = PVu; +temp1=Volt'*Volt.*Y; +AngleIJ=AngleIJMat-Angle; +temp2=sum(temp1.*sin(AngleIJ),2); +temp3 = sum(temp1.*cos(AngleIJ),2); +temp4=diag(temp2); +temp5=diag(temp3); +%t1=Volt'*ones(1,Busnum).*Y; +t1=ones(Busnum,1)*Volt.*Y; +%t1=Volt'*Volt.*Y; +t2=sum(t1.*sin(AngleIJ),2); +t3=sum(t1.*cos(AngleIJ),2); +t4=diag(t2); +t5=diag(t3); +H = -temp1.*sin(AngleIJ)+temp4;% +L = -t1.*sin(AngleIJ);% +%L(1:Busnum,1:Busnum)=-temp44+; +L=L-t4; +N=-t1.*cos(AngleIJ);% +%N(1:Busnum,1:Busnum)=-temp55-diag(diag(temp11.*cos(Angle) ) ); +N=N-t5; +J = temp1.*cos(AngleIJ)-temp5;% + + +%%%% +%t=diag(Volt); +%N=t*N;%*t; +%L=t*L;%*t; + + +%%%% +%% + %求无功分量Q + % 平衡节点的有功功率不平衡分量置零 +%% 合成PQ和雅可比矩阵 + +% t1(1:) + % 形成功率不平衡分量列向量 +%Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 + + +t1=zeros(2*Busnum); +t1(1:2:2*Busnum,1:2:2*Busnum)=H; +t1(1:2:2*Busnum,2:2:2*Busnum)=N; +t1(2:2:2*Busnum,1:2:2*Busnum)=J; +t1(2:2:2*Busnum,2:2:2*Busnum)=L; +Jacob=t1; +end + + + + +% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c) +% AngleIJ = Uangle(r) - Uangle(c)- Angle'; +% U(PVi) = PVu; +% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量 +% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2); +% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2); +% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum); +% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum); +% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4; +% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4; +% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% +% +% t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=H; +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=J; +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% % t1(1:) +% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +% Jacob=t1; +% +% end \ No newline at end of file diff --git a/jacobian_M2.m b/jacobian_M2.m new file mode 100644 index 0000000..432d13f --- /dev/null +++ b/jacobian_M2.m @@ -0,0 +1,84 @@ +function [Jacob]=jacobian_M2(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +temp1=Volt'*Volt.*Y; +AngleIJ=AngleIJMat-Angle; +temp2=sum(temp1.*sin(AngleIJ),2); +temp3 = sum(temp1.*cos(AngleIJ),2); +temp4=diag(temp2); +temp5=diag(temp3); +%t1=Volt'*ones(1,Busnum).*Y; +t1=ones(Busnum,1)*Volt.*Y; +t11=Volt'*ones(1,Busnum).*Y; +%t1=Volt'*Volt.*Y; +t2=sum(t1.*sin(AngleIJ),2); +t3=sum(t1.*cos(AngleIJ),2); +t4=diag(t2); +t5=diag(t3); +H = -temp1.*sin(AngleIJ)+temp4;% +L = -t11.*sin(AngleIJ);% +%L(1:Busnum,1:Busnum)=-temp44+; +L=L-t4; +N=-t11.*cos(AngleIJ);% +%N(1:Busnum,1:Busnum)=-temp55-diag(diag(temp11.*cos(Angle) ) ); +N=N-t5; +J = temp1.*cos(AngleIJ)-temp5;% + + +%%%% +%t=diag(Volt); +%N=t*N;%*t; +%L=t*L;%*t; + + +%%%% +%% + %求无功分量Q + % 平衡节点的有功功率不平衡分量置零 +%% 合成PQ和雅可比矩阵 + +% t1(1:) + % 形成功率不平衡分量列向量 +%Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 + + +t1=zeros(2*Busnum); +t1(1:2:2*Busnum,1:2:2*Busnum)=H; +t1(1:2:2*Busnum,2:2:2*Busnum)=N; +t1(2:2:2*Busnum,1:2:2*Busnum)=J; +t1(2:2:2*Busnum,2:2:2*Busnum)=L; +Jacob=t1; +end + + + + +% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c) +% AngleIJ = Uangle(r) - Uangle(c)- Angle'; +% U(PVi) = PVu; +% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量 +% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2); +% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2); +% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum); +% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum); +% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4; +% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4; +% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% +% +% t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=H; +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=J; +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% % t1(1:) +% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +% Jacob=t1; +% +% end \ No newline at end of file diff --git a/jacobian_M3.asv b/jacobian_M3.asv new file mode 100644 index 0000000..a83f479 --- /dev/null +++ b/jacobian_M3.asv @@ -0,0 +1,115 @@ +function [Jacob]=jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%%参照图书馆6楼的书编写 +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +AngleIJ=AngleIJMat-Angle; +t1=Volt'*Volt; +H=t1.*Y.*sin(AngleIJ); +N=-t1.*Y.*cos(AngleIJ); +%J=Volt'*ones(1,Busnum).*cos(AngleIJ);这里错了 +J=Volt'*ones(1,Busnum).*cos(AngleIJ).*Y; + +%L=Volt'*ones(1,Busnum).*sin(AngleIJ);这里错了 +L=Volt'*ones(1,Busnum).*sin(AngleIJ).*Y; + +%%对角 +t1=Volt'*Volt; +t2=t1.*Y.*sin(AngleIJ); +t3=diag(t2); +t4=t2-diag(t3); +t5=sum(t4,2); +HH=-diag(t5); +t2=t1.*Y.*cos(AngleIJ); +t3=diag(t2); +t4=t2-diag(t3); +t5=sum(t4,2); +NN=diag(t5); +%t1=ones(Busnum,1)*Volt; +t1=ones(Busnum,1)*Volt.*Y; +t2=t1.*cos(AngleIJ); +t3=sum(t2,2); +JJ=diag(t3); +t1=Volt'*ones(1,Busnum).*cos(AngleIJ).*Y; +%t1=Volt'*ones(1,Busnum).*cos(AngleIJ); +t2=diag(t1);% +JJ=JJ+diag(t2); +t1=ones(Busnum,1)*Volt.*Y; +%t1=ones(Busnum,1)*Volt; +t2=t1.*sin(AngleIJ); +t3=sum(t2,2); +LL=diag(t3); +%t1=Volt'*ones(1,Busnum).*sin(AngleIJ); +t1=Volt'*ones(1,Busnum).*sin(AngleIJ).*Y; +t2=diag(t1);% +%LL=LL-diag(t2);这里错了 +LL=LL+diag(t2); + +H=H-diag(diag(H)); +N=N-diag(diag(N)); +J=J-diag(diag(J)); +L=L-diag(diag(L)); + +H=H+HH; +J=J+JJ; +N=N+NN; +L=L+LL; + +t1=zeros(2*Busnum); +t1(1:2:2*Busnum,1:2:2*Busnum)=H; +t1(1:2:2*Busnum,2:2:2*Busnum)=N; +t1(2:2:2*Busnum,1:2:2*Busnum)=J; +t1(2:2:2*Busnum,2:2:2*Busnum)=L; +Jacob=-t1; +%%以下是学姐给的公式 +H=diag(Volt)*Y.*sin(AngleIJ')*diag(Volt)-diag(Y.*sin(AngleIJ)*Volt')*diag(Volt); +N=-diag(Volt)*Y.*cos(AngleIJ')*diag(Volt)+diag(Y.*cos(AngleIJ)*Volt')*diag(Volt); +J=diag(Y.*cos(AngleIJ)*Volt')+Y.*cos(AngleIJ')*diag(Volt); +L=diag(Y.*sin(AngleIJ)*Volt')+Y.*sin(AngleIJ')*diag(Volt); +H=H; +N=N; +J=J; +L=L; +t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=-H;%10111227 +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=-J;%10111227 +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +%暂时改一下 +t1=[J,L; + H,N; +]'; +Jacob=-t1; +end + + + + +% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c) +% AngleIJ = Uangle(r) - Uangle(c)- Angle'; +% U(PVi) = PVu; +% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量 +% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2); +% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2); +% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum); +% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum); +% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4; +% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4; +% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% +% +% t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=H; +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=J; +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% % t1(1:) +% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +% Jacob=t1; +% +% end \ No newline at end of file diff --git a/jacobian_M3.m b/jacobian_M3.m new file mode 100644 index 0000000..1f3a9a9 --- /dev/null +++ b/jacobian_M3.m @@ -0,0 +1,115 @@ +function [Jacob]=jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%%参照图书馆6楼的书编写 +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +AngleIJ=AngleIJMat-Angle; +% t1=Volt'*Volt; +% H=t1.*Y.*sin(AngleIJ); +% N=-t1.*Y.*cos(AngleIJ); +% %J=Volt'*ones(1,Busnum).*cos(AngleIJ);这里错了 +% J=Volt'*ones(1,Busnum).*cos(AngleIJ).*Y; +% +% %L=Volt'*ones(1,Busnum).*sin(AngleIJ);这里错了 +% L=Volt'*ones(1,Busnum).*sin(AngleIJ).*Y; +% +% %%对角 +% t1=Volt'*Volt; +% t2=t1.*Y.*sin(AngleIJ); +% t3=diag(t2); +% t4=t2-diag(t3); +% t5=sum(t4,2); +% HH=-diag(t5); +% t2=t1.*Y.*cos(AngleIJ); +% t3=diag(t2); +% t4=t2-diag(t3); +% t5=sum(t4,2); +% NN=diag(t5); +% %t1=ones(Busnum,1)*Volt; +% t1=ones(Busnum,1)*Volt.*Y; +% t2=t1.*cos(AngleIJ); +% t3=sum(t2,2); +% JJ=diag(t3); +% t1=Volt'*ones(1,Busnum).*cos(AngleIJ).*Y; +% %t1=Volt'*ones(1,Busnum).*cos(AngleIJ); +% t2=diag(t1);% +% JJ=JJ+diag(t2); +% t1=ones(Busnum,1)*Volt.*Y; +% %t1=ones(Busnum,1)*Volt; +% t2=t1.*sin(AngleIJ); +% t3=sum(t2,2); +% LL=diag(t3); +% %t1=Volt'*ones(1,Busnum).*sin(AngleIJ); +% t1=Volt'*ones(1,Busnum).*sin(AngleIJ).*Y; +% t2=diag(t1);% +% %LL=LL-diag(t2);这里错了 +% LL=LL+diag(t2); +% +% H=H-diag(diag(H)); +% N=N-diag(diag(N)); +% J=J-diag(diag(J)); +% L=L-diag(diag(L)); +% +% H=H+HH; +% J=J+JJ; +% N=N+NN; +% L=L+LL; +% +% t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=H; +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=J; +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% Jacob=-t1; +%%以下是学姐给的公式 +H=diag(Volt)*Y.*sin(AngleIJ')*diag(Volt)-diag(Y.*sin(AngleIJ)*Volt')*diag(Volt); +N=-diag(Volt)*Y.*cos(AngleIJ')*diag(Volt)+diag(Y.*cos(AngleIJ)*Volt')*diag(Volt); +J=diag(Y.*cos(AngleIJ)*Volt')+Y.*cos(AngleIJ')*diag(Volt); +L=diag(Y.*sin(AngleIJ)*Volt')+Y.*sin(AngleIJ')*diag(Volt); +H=H; +N=N; +J=J; +L=L; +t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=-H;%10111227 +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=-J;%10111227 +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +%暂时改一下 +t1=[J,L; + H,N; +]'; +Jacob=-t1; +end + + + + +% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c) +% AngleIJ = Uangle(r) - Uangle(c)- Angle'; +% U(PVi) = PVu; +% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量 +% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2); +% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2); +% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum); +% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum); +% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4; +% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4; +% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% +% +% t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=H; +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=J; +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% % t1(1:) +% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +% Jacob=t1; +% +% end \ No newline at end of file diff --git a/jacobian_M4.asv b/jacobian_M4.asv new file mode 100644 index 0000000..3a5f486 --- /dev/null +++ b/jacobian_M4.asv @@ -0,0 +1,77 @@ +function [Jacob]=jacobian_M4(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +temp1=Volt'*Volt.*Y; +AngleIJ=AngleIJMat-Angle; +tt1=temp1.*sin(AngleIJ); +tt2=temp1.*cos(AngleIJ); +tt3=diag(tt1); +tt4=diag(tt2); +tt5=tt1-diag(tt3); +tt6=tt2-diag(tt4); +temp2=sum(tt5,2); +temp3 = sum(tt6,2); +HH=temp2; +JJ=temp3; +t1=ones(Busnum,1)*Volt.*Y; +t11=Volt'*ones(1,Busnum).*Y; +t2=sum(t1.*sin(AngleIJ),2); +t3=sum(t1.*cos(AngleIJ),2); +t4=diag(t1.*sin(AngleIJ)); +t5=diag(t1.*cos(AngleIJ)); +NN=-diag(t3)-diag(t5); +LL=-diag(t2)+diag(t4); +H = -temp1.*sin(AngleIJ); +L = -t11.*sin(AngleIJ);% +N=-t11.*cos(AngleIJ);% +J = temp1.*cos(AngleIJ);% +H=H-diag(diag(H)); +N=N-diag(N)); +J=J-diag(J); +L=L-diag(L); +H=H+diag(HH); +N=N+diag(NN); +J=J+diag(JJ); +L=L+diag(LL); + + +t1=zeros(2*Busnum); +t1(1:2:2*Busnum,1:2:2*Busnum)=H; +t1(1:2:2*Busnum,2:2:2*Busnum)=N; +t1(2:2:2*Busnum,1:2:2*Busnum)=J; +t1(2:2:2*Busnum,2:2:2*Busnum)=L; +Jacob=t1; +end + + + + +% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c) +% AngleIJ = Uangle(r) - Uangle(c)- Angle'; +% U(PVi) = PVu; +% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量 +% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2); +% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2); +% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum); +% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum); +% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4; +% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4; +% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% +% +% t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=H; +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=J; +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% % t1(1:) +% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +% Jacob=t1; +% +% end \ No newline at end of file diff --git a/jacobian_M4.m b/jacobian_M4.m new file mode 100644 index 0000000..83925a5 --- /dev/null +++ b/jacobian_M4.m @@ -0,0 +1,77 @@ +function [Jacob]=jacobian_M4(Busnum,Volt,Y,Angle,AngleIJMat) +%************************************************************************** +% 程序功能 : 子函数——形成雅可比矩阵Jacobian +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 分别求雅克比矩阵的子阵H,L,N,J及有功无功分量P,Q +temp1=Volt'*Volt.*Y; +AngleIJ=AngleIJMat-Angle; +tt1=temp1.*sin(AngleIJ); +tt2=temp1.*cos(AngleIJ); +tt3=diag(tt1); +tt4=diag(tt2); +tt5=tt1-diag(tt3); +tt6=tt2-diag(tt4); +temp2=sum(tt5,2); +temp3 = sum(tt6,2); +HH=temp2; +JJ=-temp3; +t1=ones(Busnum,1)*Volt.*Y; +t11=Volt'*ones(1,Busnum).*Y; +t2=sum(t1.*sin(AngleIJ),2); +t3=sum(t1.*cos(AngleIJ),2); +t4=diag(t1.*sin(AngleIJ)); +t5=diag(t1.*cos(AngleIJ)); +NN=-diag(t3)-diag(t5); +LL=-diag(t2)+diag(t4); +H = -temp1.*sin(AngleIJ); +L = -t11.*sin(AngleIJ);% +N=-t11.*cos(AngleIJ);% +J = temp1.*cos(AngleIJ);% +H=H-diag(diag(H)); +N=N-diag(diag(N)); +J=J-diag(diag(J)); +L=L-diag(diag(L)); +H=H+diag(HH); +N=N+NN; +J=J+diag(JJ); +L=L+LL; + + +t1=zeros(2*Busnum); +t1(1:2:2*Busnum,1:2:2*Busnum)=H; +t1(1:2:2*Busnum,2:2:2*Busnum)=N; +t1(2:2:2*Busnum,1:2:2*Busnum)=J; +t1(2:2:2*Busnum,2:2:2*Busnum)=L; +Jacob=t1; +end + + + + +% function Jacob=jacobian_M1(Busnum,PVi,PVu,U,Uangle,Y,Angle,r,c) +% AngleIJ = Uangle(r) - Uangle(c)- Angle'; +% U(PVi) = PVu; +% temp1= -sparse(1:Busnum,1:Busnum,U,Busnum,Busnum)*Y*sparse(1:Busnum,1:Busnum,U,Busnum,Busnum); % 计算雅克比矩阵可利用的中间变量 +% temp2 = sum(temp1.*sparse(r,c,sin(AngleIJ)),2); +% temp3 = sum(temp1.*sparse(r,c,cos(AngleIJ)),2); +% temp4=sparse(1:Busnum,1:Busnum,temp2,Busnum,Busnum); +% temp5=sparse(1:Busnum,1:Busnum,temp3,Busnum,Busnum); +% H = temp1.*sparse(r,c,sin(AngleIJ))-temp4; +% L = temp1.*sparse(r,c,sin(AngleIJ))+temp4; +% N = temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% J = -temp1.*sparse(r,c,cos(AngleIJ))+temp5; +% +% +% t1=zeros(2*Busnum); +% t1(1:2:2*Busnum,1:2:2*Busnum)=H; +% t1(1:2:2*Busnum,2:2:2*Busnum)=N; +% t1(2:2:2*Busnum,1:2:2*Busnum)=J; +% t1(2:2:2*Busnum,2:2:2*Busnum)=L; +% % t1(1:) +% % PQ = cat(2,P,Q); % 形成功率不平衡分量列向量 +% %Jacob = cat(1,cat(2,H,N),cat(2,J,L)); % 形成Jacobian矩阵 +% Jacob=t1; +% +% end \ No newline at end of file diff --git a/modifyadmmatrix.asv b/modifyadmmatrix.asv new file mode 100644 index 0000000..a917e8d --- /dev/null +++ b/modifyadmmatrix.asv @@ -0,0 +1,18 @@ +function [new_G,new_B,GB,Y,r,c,Angle] = modifyadmmatrix(ii,jj,G,GG,B,BB) +%************************************************************************** +% 程序功能 : 子函数——形成节点导纳矩阵Y +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 支路导纳计算 +new_G=G; +new_G(ii,jj)=new_G(ii,jj)-G(ii,jj); +new_G(jj,ii)=new_G(jj,ii)-G(jj,ii); +new_G(ii,ii)=new_G(ii,ii)+G(ii,jj); +new_G(jj,jj)=new_G(jj,jj)+G(ii,jj); + +%% 化作极坐标形式 +GB = G+B.*1i; %将电导，电纳合并，写成复数形式 +Y = abs(GB); %求节点导纳幅值 +[r,c] = find(Y); +Angle = angle(GB(GB~=0)); %求节点导纳角度 \ No newline at end of file diff --git a/modifyadmmatrix.m b/modifyadmmatrix.m new file mode 100644 index 0000000..de48607 --- /dev/null +++ b/modifyadmmatrix.m @@ -0,0 +1,23 @@ +function [new_G,new_B,GB,Y,r,c,Angle] = modifyadmmatrix(ii,jj,G,B) +%************************************************************************** +% 程序功能 : 子函数——形成节点导纳矩阵Y +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 支路导纳计算 +new_G=G; +new_G(ii,jj)=new_G(ii,jj)-G(ii,jj); +new_G(jj,ii)=new_G(jj,ii)-G(jj,ii); +new_G(ii,ii)=new_G(ii,ii)+G(ii,jj); +new_G(jj,jj)=new_G(jj,jj)+G(ii,jj); +new_B=B; +new_B(ii,jj)=new_B(ii,jj)-B(ii,jj); +new_B(jj,ii)=new_B(jj,ii)-B(jj,ii); +new_B(ii,ii)=new_B(ii,ii)+B(ii,jj); +new_B(jj,jj)=new_B(jj,jj)+B(ii,jj); + +%% 化作极坐标形式 +GB = new_G+new_B.*1i; %将电导，电纳合并，写成复数形式 +Y = abs(GB); %求节点导纳幅值 +[r,c] = find(Y); +Angle = angle(GB(GB~=0)); %求节点导纳角度 \ No newline at end of file diff --git a/openfile.asv b/openfile.asv new file mode 100644 index 0000000..5095547 --- /dev/null +++ b/openfile.asv @@ -0,0 +1,64 @@ +function [Busnum,Balance,PQstandard,Precision,Linei,Linej,Liner,Linex,Lineb,kmax,Transfori ,... + Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb,Pointpoweri,PG,QG,PD,QD,PVi,PVu,Gen,GenU,GenL,GenC,CenterA,PGi,PVQU,PVQL] = openfile(FileName) +%************************************************************************** +% 程序简介 : 子函数——读取潮流计算所需数据 +% 编 者： +% 编制时间 ：2010.12 +%************************************************************************** +data = dlmread(FileName); % 一次读入全部数据 +Busnum= data(1,1); % 节点数 +PQstandard = data(1,3); % 基准容量 +kmax = data(1,4); %最大迭代次数 +Precision = data(2,1); % 精度 +Balance = data(3,2); % 生成1到节点号的列向量 +CenterA=data(1,5); %中心参数 +LineNum=data(1,2); %支路数 +%% 各参数矩阵分块 +zeroRow = find(data(:,1)==0); %查找第一列元素为零的行号 +line = data(zeroRow(1)+1:zeroRow(2)-1,:); % 形成线路参数矩阵 +ground = data(zeroRow(2)+1:zeroRow(3)-1,:); % 形成对地支路参数矩阵 +tran = data(zeroRow(3)+1:zeroRow(4)-1,:); % 形成变压器参数矩阵 +buspq = data(zeroRow(4)+1:zeroRow(5)-1,:); % 形成节点功率参数矩阵 +PV = data(zeroRow(5)+1:zeroRow(6)-1,:); % 形成pv节点功率参数矩阵 +Gen=data(zeroRow(6)+1:zeroRow(7)-1,:); +%% 线路参数矩阵分块 +Linei = line(:,2); % 节点i +Linej= line(:,3); % 节点j +Liner = line(:,4); % 线路电阻 +Linex = line(:,5); % 线路电抗 +Lineb = line(:,6); % b/2 +%% 对地支路参数矩阵 +Branchi = ground(:,1); % 对地支路节点号 +Branchb = ground(:,2); % 对地支路的导纳 +%% 变压器参数矩阵 +Transfori = tran(:,2); % 节点i +Transforj= tran(:,3); % 节点j +Transforr = tran(:,4); % 变压器电阻 +Transforx= tran(:,5); % 变压器电抗 +Transfork0 = tran(:,6); % 变压器变比 +%% 节点功率参数矩阵 +Pointpoweri = buspq(:,1); +PG=buspq(:,2); % 发电机有功 +QG=buspq(:,3); % 发电机无功 +PD=buspq(:,4); % 负荷有功 +QD=buspq(:,5); % 负荷无功 +%% pv节点功率参数矩阵 +PVi = PV(:,1); % PV节点的节点号 +PVu = PV(:,2); % PV节点电压 +PVQL=PV(:,3);%PV节点无功下限 +PVQU=PV(:,4); %PV节点无功上限 +%% 发电机参数 +%GenU=Gen(:,[1 5 6]); +%GenL=Gen(:,[1 7 8]); +GenC=Gen(:,[1 2:4]); +t=GenC(:,2); +GenC(:,2)=GenC(:,4); +GenC(:,4)=t; +t=Gen(:,[1 5]); +%GenL=[t,PVQL(PVi)]; +GenL=t;%有功下界 +t=Gen(:,[1 6]); +%GenU=[t,PVQU(PVi)]; +GenU=t;%有功上届 +PGi=Gen(:,1);%发电机节点号 +end \ No newline at end of file diff --git a/openfile.m b/openfile.m new file mode 100644 index 0000000..8171214 --- /dev/null +++ b/openfile.m @@ -0,0 +1,76 @@ +function [Busnum,Balance,PQstandard,Precision,Linei,Linej,Liner,Linex,Lineb,kmax,Transfori ,... + Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb,Pointpoweri,PG,QG,PD,QD,PVi,PVu,Gen,GenU,GenL,GenC,CenterA,PGi,PVQU,PVQL] = openfile(FileName) +%************************************************************************** +% 程序简介 : 子函数——读取潮流计算所需数据 +% 编 者： +% 编制时间 ：2010.12 +%************************************************************************** +data = dlmread(FileName); % 一次读入全部数据 +Busnum= data(1,1); % 节点数 +PQstandard = data(1,3); % 基准容量 +kmax = data(1,4); %最大迭代次数 +Precision = data(2,1); % 精度 +Balance = data(3,2); % 生成1到节点号的列向量 +CenterA=data(1,5); %中心参数 +LineNum=data(1,2); %支路数 +Base=data(1,3); +%% 各参数矩阵分块 +zeroRow = find(data(:,1)==0); %查找第一列元素为零的行号 +line = data(zeroRow(1)+1:zeroRow(2)-1,:); % 形成线路参数矩阵 +ground = data(zeroRow(2)+1:zeroRow(3)-1,:); % 形成对地支路参数矩阵 +tran = data(zeroRow(3)+1:zeroRow(4)-1,:); % 形成变压器参数矩阵 +buspq = data(zeroRow(4)+1:zeroRow(5)-1,:); % 形成节点功率参数矩阵 +PV = data(zeroRow(5)+1:zeroRow(6)-1,:); % 形成pv节点功率参数矩阵 +Gen=data(zeroRow(6)+1:zeroRow(7)-1,:); +%% 线路参数矩阵分块 +Linei = line(:,2); % 节点i +Linej= line(:,3); % 节点j +Liner = line(:,4); % 线路电阻 +Linex = line(:,5); % 线路电抗 +Lineb = line(:,6); % b/2 +%% 对地支路参数矩阵 +Branchi = ground(:,1); % 对地支路节点号 +Branchb = ground(:,2); % 对地支路的导纳 +%% 变压器参数矩阵 +Transfori = tran(:,2); % 节点i +Transforj= tran(:,3); % 节点j +Transforr = tran(:,4); % 变压器电阻 +Transforx= tran(:,5); % 变压器电抗 +Transfork0 = tran(:,6); % 变压器变比 +%% 节点功率参数矩阵 +Pointpoweri = buspq(:,1); +PG=buspq(:,2); % 发电机有功 +QG=buspq(:,3); % 发电机无功 +PD=buspq(:,4); % 负荷有功 +QD=buspq(:,5); % 负荷无功 +%%除以基值 +PG=PG/Base; +QG=QG/Base; +PD=PD/Base; +QD=QD/Base; +%% pv节点功率参数矩阵 +PVi = PV(:,1); % PV节点的节点号 +PVu = PV(:,2); % PV节点电压 +PVQL=PV(:,3);%PV节点无功下限 +PVQL=PVQL/Base; +PVQU=PV(:,4); %PV节点无功上限 +PVQU=PVQU/Base; +%% 发电机参数 +%GenU=Gen(:,[1 5 6]); +%GenL=Gen(:,[1 7 8]); +GenC=Gen(:,[1 2:4]); +t=GenC(:,2); +GenC(:,2)=GenC(:,4); +GenC(:,4)=t; +%%%%%%%%%%%%%%%%%%%% +%GenC(:,2:4)=100*GenC(:,2:4); +t=Gen(:,[1 5]); +%GenL=[t,PVQL(PVi)]; +GenL=t;%有功下界 +GenL(:,2)=GenL(:,2)/Base; +t=Gen(:,[1 6]); +%GenU=[t,PVQU(PVi)]; +GenU=t;%有功上届 +GenU(:,2)=GenU(:,2)/Base; +PGi=Gen(:,1);%发电机节点号 +end \ No newline at end of file diff --git a/pf.asv b/pf.asv new file mode 100644 index 0000000..2758c87 --- /dev/null +++ b/pf.asv @@ -0,0 +1,35 @@ +function [kmax,Precision,Uangle,U,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,PG,QG,PD,QD,CenterA,PGi,PVQU,PVQL]=pf(FileName) +%************************************************************************** +% 程序名称：电力系统潮流计算程序 +% 程序算法：极坐标下的牛顿-拉夫逊法 +% 程序功能：主函数 +% 程序编者： +% 编制时间：2010.12 +%************************************************************************** +clc; +tic; +%% 读取数据文件 +[Busnum,Balance,PQstandard,Precision,Linei,Linej,Liner,Linex,Lineb,kmax,Transfori ,... + Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb,Pointpoweri,PG,QG,PD,QD,PVi,PVu,Gen,GenU,GenL,GenC,CenterA,PGi,PVQU,PVQL]= openfile(FileName); +%% 形成节点导纳矩阵 +[G,B,GB,Y,r,c,Angle] = admmatrix(Busnum,Linei,Linej,Liner,Linex,Lineb,Transfori,Transforj,Transforr,... + Transforx,Transfork0,Branchi,Branchb); +[P0,Q0,U,Uangle] = Initial(PG,PD,PQstandard,Pointpoweri,QG,QD,Busnum); %求功率不平衡量 +disp('迭代次数i 最大不平衡量'); +%% 循环体计算 +for i = 0:kmax + [Jacob,PQ,U,Uangle] = jacobian(Busnum,Balance,PVi,PVu,U,Uangle,Y,Angle,P0,Q0,r,c); %形成雅克比矩阵 + % disp('第一次雅克比'); + %full(Jacob); + m = max(abs(PQ)); + m = full(m); + fprintf(' %u %.8f \n',i,m); + if m > Precision %判断不平衡量是否满足精度要求 + [Uangle,U] = solvefun(Busnum,Jacob,PQ,Uangle,U); %求解修正方程，更新电压变量 + else + disp(['收敛，迭代次数为',num2str(i),'次']); + break %若满足精度要求，则计算收敛 + end +end +toc; +end \ No newline at end of file diff --git a/pf.m b/pf.m new file mode 100644 index 0000000..2758c87 --- /dev/null +++ b/pf.m @@ -0,0 +1,35 @@ +function [kmax,Precision,Uangle,U,Busnum,PVi,PVu,Balance,Y,Angle,P0,Q0,r,c,GB,Linei,Linej,Transfori,Transforj,GenU,GenL,GenC,PG,QG,PD,QD,CenterA,PGi,PVQU,PVQL]=pf(FileName) +%************************************************************************** +% 程序名称：电力系统潮流计算程序 +% 程序算法：极坐标下的牛顿-拉夫逊法 +% 程序功能：主函数 +% 程序编者： +% 编制时间：2010.12 +%************************************************************************** +clc; +tic; +%% 读取数据文件 +[Busnum,Balance,PQstandard,Precision,Linei,Linej,Liner,Linex,Lineb,kmax,Transfori ,... + Transforj,Transforr,Transforx,Transfork0,Branchi,Branchb,Pointpoweri,PG,QG,PD,QD,PVi,PVu,Gen,GenU,GenL,GenC,CenterA,PGi,PVQU,PVQL]= openfile(FileName); +%% 形成节点导纳矩阵 +[G,B,GB,Y,r,c,Angle] = admmatrix(Busnum,Linei,Linej,Liner,Linex,Lineb,Transfori,Transforj,Transforr,... + Transforx,Transfork0,Branchi,Branchb); +[P0,Q0,U,Uangle] = Initial(PG,PD,PQstandard,Pointpoweri,QG,QD,Busnum); %求功率不平衡量 +disp('迭代次数i 最大不平衡量'); +%% 循环体计算 +for i = 0:kmax + [Jacob,PQ,U,Uangle] = jacobian(Busnum,Balance,PVi,PVu,U,Uangle,Y,Angle,P0,Q0,r,c); %形成雅克比矩阵 + % disp('第一次雅克比'); + %full(Jacob); + m = max(abs(PQ)); + m = full(m); + fprintf(' %u %.8f \n',i,m); + if m > Precision %判断不平衡量是否满足精度要求 + [Uangle,U] = solvefun(Busnum,Jacob,PQ,Uangle,U); %求解修正方程，更新电压变量 + else + disp(['收敛，迭代次数为',num2str(i),'次']); + break %若满足精度要求，则计算收敛 + end +end +toc; +end \ No newline at end of file diff --git a/solvefun.m b/solvefun.m new file mode 100644 index 0000000..9d5debb --- /dev/null +++ b/solvefun.m @@ -0,0 +1,13 @@ +function[Uangle,U] = solvefun(Busnum,Jacob,PQ,Uangle,U) +%************************************************************************** +% 程序功能 : 子函数——求解修正方程 +% 编 者： +% 编制时间：2010.12 +%************************************************************************** +%% 计算修正方程 +PQ = sparse(PQ); +X = (Jacob\-PQ')'; +%% 更新电压变量 +Uangle = Uangle+X(1:Busnum); % 更新电压相角 +U = U+U.*X(Busnum+1:end); % 更新电压幅值 +end \ No newline at end of file diff --git a/sy.m b/sy.m new file mode 100644 index 0000000..e00889f --- /dev/null +++ b/sy.m @@ -0,0 +1,14 @@ +clear +clc +syms T11 T12 T21 T22; +syms V1 V2; +syms Y11 Y12 Y21 Y22; +yP=ones(1,2); +AngleIJ=[T11,T12;T21,T22]; +Volt=[V1,V2]; +Y=[Y11,Y12;Y21,Y22]; +t1=-diag(Y.*cos(AngleIJ')*diag(Volt)*yP'); +t2=diag(diag(Volt)*yP')*Y.*cos(AngleIJ); +t3=(t1+t2)*diag(Volt); +t4=-(diag(Y.*cos(AngleIJ)*Volt') -diag(Volt)*Y.*cos(AngleIJ') )*diag(diag(Volt)*yP'); +ddPdTdT=t1+t2+t3+t4 \ No newline at end of file