From 18dea8045f4be2ae11fa08a972b7ced4ecb4be9a Mon Sep 17 00:00:00 2001 From: facat Date: Wed, 23 May 2012 09:26:35 +0800 Subject: [PATCH] =?UTF-8?q?=E6=9A=82=E6=97=B6=20Signed-off-by:=20facat=20?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- FormG.m | 3 +- FormLw.m | 12 +- FormLz.m | 11 +- IEEE10471PG.dat | 3516 ++++++++++++++++++++++++++++++++++++++++++++++ IEEE118PG.dat | 398 ++++++ IEEE14PG.dat | 58 + IEEE3001PG.dat | 824 +++++++++++ IEEE30PG.dat | 96 ++ IEEE4PG.dat | 23 + Modification.m | 6 +- OPF.m | 33 +- OPF_Init.asv | 23 +- OPF_Init.m | 8 +- ObjectiveFun.m | 5 + SolveIt.m | 4 +- func_ddg.m | 2 +- func_ddh3.m | 6 +- func_deltF.asv | 26 +- func_deltF.m | 10 +- func_deltG.asv | 86 +- func_deltG.m | 17 +- func_deltH.m | 3 +- func_deltdeltF.m | 9 +- 23 files changed, 5038 insertions(+), 141 deletions(-) create mode 100644 IEEE10471PG.dat create mode 100644 IEEE118PG.dat create mode 100644 IEEE14PG.dat create mode 100644 IEEE3001PG.dat create mode 100644 IEEE30PG.dat create mode 100644 IEEE4PG.dat create mode 100644 ObjectiveFun.m diff --git a/FormG.m b/FormG.m index d2f7fac..003f7c4 100644 --- a/FormG.m +++ b/FormG.m @@ -1,4 +1,4 @@ -function Mat_G=FormG(Volt,PVi,PGi,PG,QG) +function Mat_G=FormG(Volt,PVi,PGi,PG,QG,PD) %t1=PG(PVi); %GP=t1;%发电机P %GP=[4.5 4.5]'; @@ -13,6 +13,7 @@ Mat_G=[ %GP; PG(PGi); QG(PVi); + PD; %GQ(PVi); %[0 1.45]'; Volt'; diff --git a/FormLw.m b/FormLw.m index 2096de7..9bce6d9 100644 --- a/FormLw.m +++ b/FormLw.m @@ -1,10 +1,12 @@ -function Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU) +function Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD0) -PU=GenU(:,2);%发电机有功上界 +PU=20*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])'; +VoltU=1.5*ones(1,Busnum); +%PDU=20*PD0'; +%PDU(PDU==0)=20; +PDU=25*ones(Busnum,1)'; +t1=([PU',QU',PDU,VoltU])'; t2=Mat_G+Init_U'-t1; Lw=t2; end \ No newline at end of file diff --git a/FormLz.m b/FormLz.m index 132a91b..578d717 100644 --- a/FormLz.m +++ b/FormLz.m @@ -1,9 +1,12 @@ -function Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL) +function Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD0) -PL=GenL(:,2);%发电机有功下界 +PL=0.0001*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])'; +VoltL=0.5*ones(1,Busnum); +%PDL=-0.001*PD0'; +%PDL(PD0<=0)=-20; +PDL=-25*ones(Busnum,1)'; +t1=([PL',QL',PDL,VoltL])'; t2=Mat_G-Init_L'-t1; Lz=t2; diff --git a/IEEE10471PG.dat b/IEEE10471PG.dat new file mode 100644 index 0000000..d3f1fd0 --- /dev/null +++ b/IEEE10471PG.dat @@ -0,0 +1,3516 @@ +1047 1182 100 28 0.1 0 0 0 +1.00E-05 5 0 0 0 0 0 0 +1 339 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 +1 581 843 0.083 0.22 0.0123 0 0 +2 1029 1003 0.015 0.0825 0.0737 0 0 +3 1029 938 0.0159 0.088 0.0791 0 0 +4 362 363 0.0215 0.1127 0.1029 0 0 +5 1029 362 0 0.0001 0 0 0 +6 363 1046 0 0.0001 0 0 0 +7 1026 928 0.019 0.088 0.0775 0 0 +8 1047 1001 0.0114 0.0569 0.0929 0 0 +9 1047 1046 0.0023 0.0115 0.0716 0 0 +10 1047 938 0.006 0.026 0.0308 0 0 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a/IEEE4PG.dat b/IEEE4PG.dat new file mode 100644 index 0000000..4478dec --- /dev/null +++ b/IEEE4PG.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 0.568188176 0 0 0 +4 0.300000011 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/Modification.m b/Modification.m index 977785d..2cfb824 100644 --- a/Modification.m +++ b/Modification.m @@ -1,4 +1,4 @@ -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) +function [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD]=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,PD) AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU); fprintf('AlphaP %f\n',AlphaP); AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW); @@ -13,7 +13,9 @@ Init_Y=Init_Y+AlphaD*deltY'; 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=deltX(size(PVi,1)+size(PGi,1)+1:size(PVi,1)+size(PGi,1)+Busnum); +PD=PD+AlphaP*t; +t=deltX(size(PVi,1)+size(PGi,1)+Busnum+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 diff --git a/OPF.m b/OPF.m index 902bf09..98dcdc0 100644 --- a/OPF.m +++ b/OPF.m @@ -10,12 +10,13 @@ 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); +PD0=PD; +[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wD,PD]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0); Gap=(Init_L*Init_Z'-Init_U*Init_W'); KK=0; plotGap=zeros(1,50); -ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*2; +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*3; +kmax=600; while(abs(Gap)>Precision) if KK>kmax break; @@ -23,8 +24,6 @@ while(abs(Gap)>Precision) 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); @@ -34,42 +33,36 @@ while(abs(Gap)>Precision) 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); + deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi,wD,PD0); %% 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); + deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi,wD,PD0,PD,Busnum); %% 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_G=FormG(Volt,PVi,PGi,PG,QG,PD); 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); + Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD0); + Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD0); 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); + [Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD]=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,PD); 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); +%CalCost(GenC,PG,PGi); +ObjectiveFun(PG,PGi,PD,PD0,wD) DrawGap(plotGap); +Volt=Volt'; toc diff --git a/OPF_Init.asv b/OPF_Init.asv index f244411..9461ddf 100644 --- a/OPF_Init.asv +++ b/OPF_Init.asv @@ -1,22 +1,27 @@ -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 +function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wD,PD]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0) +RestraintCount=size(PVi,1)+size(PGi,1)+Busnum*2; %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=-.5*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(1:2:2*Busnum)=1e-10; -Init_Y(2:2:2*Busnum)=-1e-10; +%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=GenU(:,3);% 发电机无功上限 +tQU=PVQU(:,1);% 无功上限 tPL=GenL(:,2);% 发电机有功下限 -tQL=GenL(:,3);% 发电机无功下限 +tQL=PVQL(:,1);% 无功下限 %PG(4:5)=[4.5 4.5]; -PG(PVi)=(tPU+tPL)/2; +PG(PGi)=(tPU+tPL)/2; %QG(4:5)=[0 1.45]; QG(PVi)=(tQU+tQL)/2; +wD=ones(Busnum,1); +PD=.5*PD0 end \ No newline at end of file diff --git a/OPF_Init.m b/OPF_Init.m index f533a3c..df39a9c 100644 --- a/OPF_Init.m +++ b/OPF_Init.m @@ -1,5 +1,5 @@ -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 +function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wD,PD]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0) +RestraintCount=size(PVi,1)+size(PGi,1)+Busnum*2; %约束条件数 t_Bal_volt=Volt(Balance); Volt=ones(1,Busnum); Volt(Balance)=t_Bal_volt; @@ -22,4 +22,8 @@ tQL=PVQL(:,1);% PG(PGi)=(tPU+tPL)/2; %QG(4:5)=[0 1.45]; QG(PVi)=(tQU+tQL)/2; +wD=ones(Busnum,1); +wD(Balance)=0; +PD=.5*PD0; +PD(PD==0)=.2; end \ No newline at end of file diff --git a/ObjectiveFun.m b/ObjectiveFun.m new file mode 100644 index 0000000..2eb1fcd --- /dev/null +++ b/ObjectiveFun.m @@ -0,0 +1,5 @@ +function [out_arg]=ObjectiveFun(PG,PGi,PD,PD0,wD) + +t3=wD.*((PD-PD0).*(PD-PD0)); +out_arg= sum(t3); +end \ No newline at end of file diff --git a/SolveIt.m b/SolveIt.m index 98405a4..0c61fd1 100644 --- a/SolveIt.m +++ b/SolveIt.m @@ -9,13 +9,13 @@ aa=[ ]; yy=[LxComa;-Ly]; %% 平衡节点电压不变 -t=size(PVi,1)+size(PGi,1); +t=size(PVi,1)+size(PGi,1)+Busnum; aa(t+Balance,:)=0; aa(:,t+Balance)=0; aa(t+Balance,t+Balance)=1; deltG(t+Balance,:)=0; %% -t=size(PVi,1)+size(PGi,1)+Busnum; +t=size(PVi,1)+size(PGi,1)+Busnum*2; aa(t+Balance,:)=0; aa(:,t+Balance)=0; aa(t+Balance,t+Balance)=1; diff --git a/func_ddg.m b/func_ddg.m index a85bde4..fe38d77 100644 --- a/func_ddg.m +++ b/func_ddg.m @@ -1,6 +1,6 @@ function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount) -t=zeros(size(PVi,1)+size(PGi,1)+2*Busnum,RestraintCount); +t=zeros(size(PVi,1)+size(PGi,1)+3*Busnum,RestraintCount); ddg=t; end \ No newline at end of file diff --git a/func_ddh3.m b/func_ddh3.m index 9136b93..3a71958 100644 --- a/func_ddh3.m +++ b/func_ddh3.m @@ -1,6 +1,6 @@ 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; +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*3; %deltaPi/deltaThytai_deltaThytaj 非对角元素 % dPidTidTj=zeros(Busnum); % t1=-Volt'*Volt; @@ -406,8 +406,8 @@ ddQdVdV=t1+t2; 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; +t=[zeros(size(PGi,1)+size(PVi,1)+Busnum,ContrlCount); + zeros(2*Busnum,size(PVi,1)+size(PGi,1)+Busnum),-t; ]; ddh=t; end \ No newline at end of file diff --git a/func_deltF.asv b/func_deltF.asv index c705f46..74784d3 100644 --- a/func_deltF.asv +++ b/func_deltF.asv @@ -1,14 +1,18 @@ -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])'; +function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi,wD,PD0,PD) +%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(:,1); -c1=GenC(:,2); -t1=PPG.*c2+c1; +t1=2*wD.*(PD-PD0); +deltF=[ + zeros(size(PGi)); + zeros(size(PVi)); + t1; + zeros(ContrlCount-size(PGi,1)-,1); +]; end \ No newline at end of file diff --git a/func_deltF.m b/func_deltF.m index 83d3081..b00a169 100644 --- a/func_deltF.m +++ b/func_deltF.m @@ -1,4 +1,4 @@ -function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi) +function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi,wD,PD0,PD,Busnum) %t1=PG(setdiff(PVi,Balance)); % t2=Volt'*Volt; % t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat); @@ -7,12 +7,12 @@ function deltF=func_deltF(PG,PVi,GenC,ContrlCount,PGi) % 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; +t1=2*wD.*(PD-PD0); deltF=[ + zeros(size(PGi)); + zeros(size(PVi)); t1; - zeros(ContrlCount-size(PGi,1),1); + zeros(2*Busnum,1); ]; end \ No newline at end of file diff --git a/func_deltG.asv b/func_deltG.asv index f3a7d0f..6d5851c 100644 --- a/func_deltG.asv +++ b/func_deltG.asv @@ -1,78 +1,30 @@ -function deltG=func_deltG(Busnum,PVi,GB,Volt,UAngel,indexi,indexj,PGi) +function deltG=func_deltG(Busnum,PVi,PGi) dg1_dPg=eye(size(PGi,1)); -dg2_dPg=zeros(size(PGi,1)); +dg2_dPg=zeros(size(PGi,1),size(PVi,1)); dg3_dPg=zeros(size(PGi,1),Busnum); dg4_dPg=zeros(size(PGi,1),Busnum); - %% -dg1_dQr=zeros(size(PVi,1)); +dg1_dQr=zeros(size(PVi,1),size(PGi,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); +dg1_dPD=zeros(Busnum,size(PGi,1)); +dg2_dPD=zeros(Busnum,size(PVi,1)); +dg3_dPD=zeros(Busnum,Busnum); +dg4_dPD=zeros(Busnum,2*Busnum); +%% +dg1_dx=zeros(2*Busnum,size(PGi,1)); +dg2_dx=zeros(2*Busnum,size(PVi,1)); +dg3_dx=zeros(2*Busnum,Busnum); +dg4_dx=zeros(2*Busnum,Busnum); +for I=1:Busnum + %dg3_dx(2*I,I)=1;暂时改一下 + dg4_dx(I,I)=1; 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; +deltG=[dg1_dPg,dg2_dPg,dg3_dPg; + dg1_dQr,dg2_dQr,dg3_dQr; + dg1_dPD,dg1_dPD,dg3_dPD,dg4_dPD; + dg1_dx,dg2_dx,dg3_dx; ]; \ No newline at end of file diff --git a/func_deltG.m b/func_deltG.m index cb2b272..23c3719 100644 --- a/func_deltG.m +++ b/func_deltG.m @@ -2,20 +2,29 @@ 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); +dg4_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); +dg4_dQr=zeros(size(PVi,1),Busnum); +%% +dg1_dPD=zeros(Busnum,size(PGi,1)); +dg2_dPD=zeros(Busnum,size(PVi,1)); +dg3_dPD=eye(Busnum,Busnum); +dg4_dPD=zeros(Busnum,Busnum); %% dg1_dx=zeros(2*Busnum,size(PGi,1)); dg2_dx=zeros(2*Busnum,size(PVi,1)); dg3_dx=zeros(2*Busnum,Busnum); +dg4_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; + dg4_dx(I,I)=1; end %% -deltG=[dg1_dPg,dg2_dPg,dg3_dPg; - dg1_dQr,dg2_dQr,dg3_dQr; - dg1_dx,dg2_dx,dg3_dx; +deltG=[dg1_dPg,dg2_dPg,dg3_dPg,dg4_dPg; + dg1_dQr,dg2_dQr,dg3_dQr,dg4_dQr; + dg1_dPD,dg2_dPD,dg3_dPD,dg4_dPD; + dg1_dx,dg2_dx,dg3_dx,dg4_dx; ]; \ No newline at end of file diff --git a/func_deltH.m b/func_deltH.m index 6143885..ced053c 100644 --- a/func_deltH.m +++ b/func_deltH.m @@ -13,8 +13,9 @@ for I=1:size(PVi,1) %dH_dQr(I,2*PVi(I))=1;暂时改一下20111227 dH_dQr(I,PVi(I)+Busnum)=1; end +dH_dPD=[-eye(Busnum) zeros(Busnum)]; 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']; +deltH=[dH_dPg;dH_dQr;dH_dPD;dH_dx']; end \ No newline at end of file diff --git a/func_deltdeltF.m b/func_deltdeltF.m index f6bdaaa..55773d3 100644 --- a/func_deltdeltF.m +++ b/func_deltdeltF.m @@ -1,8 +1,9 @@ -function deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi) +function deltdeltF=func_deltdeltF(Busnum,GenC,PVi,PGi,wD,PD0) -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); +ContrlCount=size(PVi,1)+size(PGi,1)+Busnum*3; %P,Q,Volt theta这些控制变量数 +C=[zeros(size(PGi))' zeros(size(PVi))' wD']; +deltdeltF=[diag(C)*2,zeros(size(C,2),ContrlCount-size(C,2)); + zeros(ContrlCount-size(C,2),ContrlCount); ]; end \ No newline at end of file