From 7566fd250fa40f8cf89c29e12f4321e4e4783b47 Mon Sep 17 00:00:00 2001 From: "dmy@lab" Date: Fri, 5 Jun 2015 14:17:10 +0800 Subject: [PATCH] =?UTF-8?q?=E6=88=91=E7=9A=84OPF=E7=A8=8B=E5=BA=8F?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: dmy@lab --- .gitignore | 1 + 5sj.txt | 32 + AssignXX.m | 9 + AssignXX1.m | 23 + CalCost.m | 13 + DrawGap.m | 6 + FormAA.m | 12 + FormAA1.m | 17 + FormAlphaD.m | 9 + FormAlphaP.m | 9 + FormG.m | 20 + FormH.m | 24 + FormLw.m | 10 + FormLx.m | 4 + FormLxComa.m | 11 + FormLz.m | 10 + FormYY.m | 11 + FormYY1.m | 10 + IEEE1047.dat | 3515 ++++++++++++++++++++++++++++++++++++++++++++ IEEE10471.dat | 3516 +++++++++++++++++++++++++++++++++++++++++++++ IEEE118.dat | 398 +++++ IEEE14.dat | 58 + IEEE30.dat | 96 ++ IEEE300.dat | 824 +++++++++++ IEEE3001.dat | 824 +++++++++++ IEEE4.dat | 23 + Initial.m | 13 + Modification.m | 22 + OPF.m | 76 + OPF_Init.m | 19 + ReadMe.txt | 1 + SolveIt.m | 36 + admmatrix.m | 31 + func_ddf.m | 176 +++ func_ddg.m | 6 + func_ddh.m | 187 +++ func_ddh1.m | 204 +++ func_ddh2.m | 206 +++ func_ddh3.m | 58 + func_deltF.m | 18 + func_deltG.m | 35 + func_deltH.m | 9 + func_deltdeltF.m | 14 + imbalance.m | 13 + jacobian.m | 38 + jacobian_M.m | 61 + jacobian_M1.m | 84 ++ jacobian_M2.m | 84 ++ jacobian_M3.m | 49 + jacobian_M4.m | 77 + modifyadmmatrix.m | 23 + openfile.m | 76 + pf.m | 35 + solvefun.m | 13 + sy.m | 14 + 55 files changed, 11163 insertions(+) create mode 100644 .gitignore create mode 100644 5sj.txt create mode 100644 AssignXX.m create mode 100644 AssignXX1.m create mode 100644 CalCost.m create mode 100644 DrawGap.m create mode 100644 FormAA.m create mode 100644 FormAA1.m create mode 100644 FormAlphaD.m create mode 100644 FormAlphaP.m create mode 100644 FormG.m create mode 100644 FormH.m create mode 100644 FormLw.m create mode 100644 FormLx.m create mode 100644 FormLxComa.m create mode 100644 FormLz.m create mode 100644 FormYY.m create mode 100644 FormYY1.m create mode 100644 IEEE1047.dat create mode 100644 IEEE10471.dat create mode 100644 IEEE118.dat create mode 100644 IEEE14.dat create mode 100644 IEEE30.dat create mode 100644 IEEE300.dat create mode 100644 IEEE3001.dat create mode 100644 IEEE4.dat create mode 100644 Initial.m create mode 100644 Modification.m create mode 100644 OPF.m create mode 100644 OPF_Init.m create mode 100644 ReadMe.txt create mode 100644 SolveIt.m create mode 100644 admmatrix.m create mode 100644 func_ddf.m create mode 100644 func_ddg.m create mode 100644 func_ddh.m create mode 100644 func_ddh1.m create mode 100644 func_ddh2.m create mode 100644 func_ddh3.m create mode 100644 func_deltF.m create mode 100644 func_deltG.m create mode 100644 func_deltH.m create mode 100644 func_deltdeltF.m create mode 100644 imbalance.m create mode 100644 jacobian.m create mode 100644 jacobian_M.m create mode 100644 jacobian_M1.m create mode 100644 jacobian_M2.m create mode 100644 jacobian_M3.m create mode 100644 jacobian_M4.m create mode 100644 modifyadmmatrix.m create mode 100644 openfile.m create mode 100644 pf.m create mode 100644 solvefun.m create mode 100644 sy.m diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..21229f7 --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +*.asv \ No newline at end of file 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.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.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.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.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.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.m b/FormH.m new file mode 100644 index 0000000..a1ad7de --- /dev/null +++ b/FormH.m @@ -0,0 +1,24 @@ +function Mat_H=FormH(Busnum,GB,AngleIJMat,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle) +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(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); +AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum); +%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=[dP;dQ;]; + +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.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.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 +++ b/IEEE1047.dat @@ -0,0 +1,3515 @@ +1047 1182 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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.m b/Modification.m new file mode 100644 index 0000000..f4634ca --- /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',full(AlphaP)); +AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW); +fprintf('AlphaD %f\n',full(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.m b/OPF.m new file mode 100644 index 0000000..45fd1cc --- /dev/null +++ b/OPF.m @@ -0,0 +1,76 @@ +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('C:\Users\dmy\Desktop\解南线_252750_2013-10-29_iPso_newFile.txt'); + +%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 +PG=sparse(PG); +PD=sparse(PD); +QG=sparse(QG); +QD=sparse(QD); +[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); + %% 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,UAngel,r,c,Angle); + %% 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,UAngel,r,c,Angle); + %% 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,UAngel,r,c,Angle); + 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.m b/OPF_Init.m new file mode 100644 index 0000000..40eb1c5 --- /dev/null +++ b/OPF_Init.m @@ -0,0 +1,19 @@ +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=sparse(ones(1,Busnum)); +%Volt(Balance)=t_Bal_volt; +Volt(Balance)=1; +UAngel=sparse(1,Busnum); +Init_Z=sparse(ones(1,RestraintCount)); +Init_W=sparse(-1*ones(1,RestraintCount)); +Init_L=sparse(ones(1,RestraintCount)); +Init_U=sparse(ones(1,RestraintCount)); +Init_Y=sparse(1,2*Busnum);%与学姐一致 +tPU=sparse(GenU(:,2));% 发电机有功上限 +tQU=sparse(PVQU(:,1));% 无功上限 +tPL=sparse(GenL(:,2));% 发电机有功下限 +tQL=sparse(PVQL(:,1));% 无功下限 +PG(PGi)=(tPU+tPL)/2; +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.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.m b/admmatrix.m new file mode 100644 index 0000000..f7286eb --- /dev/null +++ b/admmatrix.m @@ -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/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.m b/func_ddg.m new file mode 100644 index 0000000..9e778fa --- /dev/null +++ b/func_ddg.m @@ -0,0 +1,6 @@ +function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount) + +t=sparse(size(PVi,1)+size(PGi,1)+2*Busnum,RestraintCount); + +ddg=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.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.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.m b/func_ddh3.m new file mode 100644 index 0000000..d8f277c --- /dev/null +++ b/func_ddh3.m @@ -0,0 +1,58 @@ +function ddh=func_ddh3(AngleIJMat,GB,Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle) +%决定用循环重写 +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +%% 以下是学姐给的公式 +AngleIJ=AngleIJMat-angle(GB); +mat_AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum); +mat_INV_AngleIJ=mat_AngleIJ'; +yP=Init_Y(1:size(Init_Y,2)/2);%暂时改这里 20111227 +yQ=Init_Y(size(Init_Y,2)/2+1:size(Init_Y,2));%暂时改这里 20111227 +t1=-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yP'); +t2=diag(diag(Volt)*yP')*Y.*cos(mat_AngleIJ); +t3=(t1+t2)*diag(Volt); +t4=-(diag(Y.*cos(mat_AngleIJ)*Volt') -diag(Volt)*Y.*cos(mat_INV_AngleIJ) )*diag(diag(Volt)*yP'); +ddPdTdT=t3+t4;%ok1 +t1=(-diag(Y.*sin(mat_AngleIJ)*Volt')+diag(Volt)*Y.*sin(mat_INV_AngleIJ) )*diag(yP); +t2= -diag( diag(Volt)*yP' )*Y.*sin(mat_AngleIJ)+diag(Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yP'); +ddPdVdT=t1+t2;%ok1 +t1=diag( Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yP'); +t2=diag(yP)*Y.*sin(mat_AngleIJ)*diag(Volt); +t3=-diag(yP)*diag(Y.*sin(mat_AngleIJ)*Volt'); +t4=-Y.*sin(mat_INV_AngleIJ)*diag( diag(Volt)*yP' ); +ddPdTdV=t1+t2+t3+t4;%存疑与我的不一样 +t1=Y.*cos(mat_INV_AngleIJ)*diag(yP); +t2=diag(yP)*Y.*cos(mat_AngleIJ); +ddPdVdV=t1+t2; +t1=-diag(Y.*sin(mat_AngleIJ)*Volt'); +t2=diag(Volt)*Y.*sin(mat_INV_AngleIJ); +t3=(t1+t2)*diag( diag(Volt)*yQ' ); +t4=-diag( diag(Volt)*yQ' )*Y.*sin(mat_AngleIJ); + +t5=diag(Y.*sin(mat_INV_AngleIJ)*diag(Volt)*yQ'); +t6=-(t4+t5)*diag(Volt); +ddQdTdT=t3+t6;%ok1 +t1=(diag(Y.*cos(mat_AngleIJ)*Volt')-diag(Volt)*Y.*cos(mat_INV_AngleIJ) )*diag(yQ); +t2=+diag( diag(Volt)*yQ' )*Y.*cos(mat_AngleIJ)-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yQ'); +ddQdVdT=t1+t2; +t1=Y.*cos(mat_INV_AngleIJ)*diag(diag(Volt)*yQ'); +t2=diag(yQ)*diag(Y.*cos(mat_AngleIJ)*Volt'); +t3=-diag(Y.*cos(mat_INV_AngleIJ)*diag(Volt)*yQ'); +t4=-diag(yQ)*Y.*cos(mat_AngleIJ)*diag(Volt); +ddQdTdV=t1+t2+t3+t4; +t1=Y.*sin(mat_INV_AngleIJ)*diag(yQ); +t2=diag(yQ)*Y.*sin(mat_AngleIJ); +ddQdVdV=t1+t2; +t=[ddPdVdV+ddQdVdV,ddPdTdV+ddQdTdV ; + ddPdVdT+ddQdVdT,ddPdTdT+ddQdTdT; +]; +sizePGi=size(PGi,1); +sizePVi=size(PVi,1); +% t=[zeros(size(PGi,1)+size(PVi,1),ContrlCount); +% zeros(2*Busnum,size(PVi,1)+size(PGi,1)),-t; +% ]; +t=[ + sparse(sizePGi+sizePVi,ContrlCount); + sparse(2*Busnum,sizePVi+sizePGi),-t; + ]; +ddh=t; +end \ No newline at end of file diff --git a/func_deltF.m b/func_deltF.m new file mode 100644 index 0000000..3716933 --- /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=[ + sparse(t1); + sparse(ContrlCount-size(PGi,1),1); +]; + +end \ No newline at end of file diff --git a/func_deltG.m b/func_deltG.m new file mode 100644 index 0000000..ac05cf3 --- /dev/null +++ b/func_deltG.m @@ -0,0 +1,35 @@ +function deltG=func_deltG(Busnum,PVi,PGi) +%dg1_dPg=eye(size(PGi,1)); +sizePGi=size(PGi,1); +sizePVi=size(PVi,1); +%% +dg1_dPg=sparse(1:sizePGi,1:sizePGi,ones(sizePGi,1),sizePGi,sizePGi); +%dg2_dPg=zeros(size(PGi,1),size(PVi,1)); +dg2_dPg=sparse(sizePGi,sizePVi); +%dg3_dPg=zeros(size(PGi,1),Busnum); +dg3_dPg=sparse(sizePGi,Busnum); +%% +% dg1_dQr=zeros(size(PVi,1),size(PGi,1)); +% dg2_dQr=eye(size(PVi,1)); +% dg3_dQr=zeros(size(PVi,1),Busnum); +dg1_dQr=sparse(sizePVi,sizePGi); +dg2_dQr=sparse(1:sizePVi,1:sizePVi,ones(sizePVi,1),sizePVi,sizePVi); +dg3_dQr=sparse(sizePVi,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 +dg1_dx=sparse(2*Busnum,sizePGi); +dg2_dx=sparse(2*Busnum,sizePVi); +dg3_dx=[sparse(1:Busnum,1:Busnum,ones(Busnum,1),Busnum,Busnum); + sparse(Busnum,Busnum); + ]; +%% +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.m b/func_deltH.m new file mode 100644 index 0000000..30351fa --- /dev/null +++ b/func_deltH.m @@ -0,0 +1,9 @@ +function deltH=func_deltH(Busnum,Volt,PVi,AngleIJMat,Y,GB,PGi,UAngel,r,c,Angle) + +dH_dPg=sparse(1:size(PGi,1),PGi,ones(size(PGi,1),1),size(PGi,1),2*Busnum); + +dH_dQr=sparse(1:size(PVi,1),PVi+Busnum,ones(size(PVi,1),1),size(PVi,1),2*Busnum); +dH_dx = jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat,UAngel,r,c); %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.m b/func_deltdeltF.m new file mode 100644 index 0000000..0c5bfa5 --- /dev/null +++ b/func_deltdeltF.m @@ -0,0 +1,14 @@ +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); + ]; %#ok + sizeGenC=size(GenC(:,2),1); +diagC=sparse(1:sizeGenC,1:sizeGenC,GenC(:,2),sizeGenC,sizeGenC); +deltdeltF=[ + diagC*2,sparse(sizeGenC,ContrlCount-sizeGenC); + sparse(ContrlCount-sizeGenC,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.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.m b/jacobian_M3.m new file mode 100644 index 0000000..013275a --- /dev/null +++ b/jacobian_M3.m @@ -0,0 +1,49 @@ +function [Jacob]=jacobian_M3(Busnum,Volt,Y,Angle,AngleIJMat,UAngel,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 +%************************************************************************** +%%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=UAngel(r)-UAngel(c)-Angle'; +mat_AngleIJ=sparse(r,c,AngleIJ,Busnum,Busnum); +mat_IvAngleIJ=mat_AngleIJ'; +H=diag(Volt)*Y.*sin(mat_IvAngleIJ)*diag(Volt)-diag(Y.*sin(mat_AngleIJ)*Volt')*diag(Volt); +N=-diag(Volt)*Y.*cos(mat_IvAngleIJ)*diag(Volt)+diag(Y.*cos(mat_AngleIJ)*Volt')*diag(Volt); +J=diag(Y.*cos(mat_AngleIJ)*Volt')+Y.*cos(mat_IvAngleIJ)*diag(Volt); +L=diag(Y.*sin(mat_AngleIJ)*Volt')+Y.*sin(mat_IvAngleIJ)*diag(Volt); +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.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.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.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.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