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只加一个QD的收敛了，准备加所有QD。 

Signed-off-by: unknown <dmy@dmy-PC.(none)>
This commit is contained in:
unknown 2012-11-04 12:37:11 +08:00
parent 1855619714
commit d882a21b65
19 changed files with 161 additions and 220 deletions
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29
FormG.asv
View File

@ -1,26 +1,11 @@
function Mat_G=FormG(Volt,PVi,PG,GB,AngleIJMat,indexi,indexj)
t1=PG(PVi);
%GP=t1;%发电机P
GP=[4.5 4.5]';
%%线路
t1=Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
t4=zeros(size(indexi,2),1);
for I=1:size(indexi,2)
t4(I)=Volt(indexi(I))*real(GB(indexi(I),indexj(I)))+t3(indexi(I),indexj(I));%线路
end
LP=t4;
%发电机Q
t1=Volt'*Volt;
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t3=t1.*t2;
t4=sum(t3,2);%发电机Q
GQ=t4;
function Mat_G=FormG(Volt,PVi,PGi,PG,QG,PD,QD,Loadi)
Mat_G=[
GP;
GQ(PVi);
PG(PGi);
QG(PVi);
sparse(PD(Loadi));
sparse(QD(Loadi));
Volt';
LP;
];
end

2
FormG.m
View File

@ -4,7 +4,7 @@ Mat_G=[
PG(PGi);
QG(PVi);
sparse(PD(Loadi));
sparse(QD(Loadi));
sparse(QD(Loadi(1)));
Volt';
];
end

3
FormH.m
View File

@ -1,9 +1,10 @@
function Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,QD_NON_ZERO,QD_NON_ZERO_IND)
function Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,QD_NON_ZERO,QD_NON_ZERO_IND,Loadi)
%%
%QDcos=textread('D:\Project\×îС»¯³±Á÷\×îС³±Á÷ËãÀý\Ïɺ£919PDQDglys.txt');
%QD(QD~=0)=PD(QD~=0)./tan(QDcos);
%QD(QD_NON_ZERO_IND)=QD_NON_ZERO;
%%
%PD(Loadi)=QD(Loadi)./tan(acos(0.98));
AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum);
dP=PG-PD-diag(Volt)*Y.*cos(AngleIJ)*Volt';
dQ=QG-QD-diag(Volt)*Y.*sin(AngleIJ)*Volt';

4
FormLw.m
View File

@ -9,10 +9,10 @@ PDU(PDU>0)=1.200*PDU(PDU>0);
PDU(PDU<0)=0.800*PDU(PDU<0);
PDU(PDU==0)=0.400;
%PDU=10*ones(length(Loadi),1);
QDU=QD0(Loadi);
QDU=QD0(Loadi(1));
QDU(QDU>0)=1.200*QDU(QDU>0);
QDU(QDU<0)=0.800*QDU(QDU<0);
QDU(QDU==0)=0.400;
QDU(QDU==0)=0.200;
t1=([PU',QU',PDU',QDU',VoltU])';
t2=Mat_G+Init_U'-t1;
Lw=t2;

7
FormLz.m
View File

@ -9,10 +9,13 @@ PDL(PDL>0)=0.800*PDL(PDL>0);
PDL(PDL<0)=1.200*PDL(PDL<0);
PDL(PDL==0)=-0.400;
%PDL=-10*ones(length(Loadi),1);
QDL=QD0(Loadi);
QDL=QD0(Loadi(1));
QDL(QDL>0)=0.800*QDL(QDL>0);
QDL(QDL<0)=1.200*QDL(QDL<0);
QDL(QDL==0)=-0.400;
QDL(QDL==0)=-0.200;
% QDL(QDL>0)=1;
% QDL(QDL<0)=-1;
% QDL(QDL==0)=-0.200;
t1=([PL',QL',PDL',QDL',VoltL])';
t2=Mat_G-Init_L'-t1;
Lz=t2;

6
Modification.m
View File

@ -13,10 +13,10 @@ 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:size(PVi,1)+size(PGi,1)+size(Loadi,1)*2);
t=deltX(size(PVi,1)+size(PGi,1)+1:size(PVi,1)+size(PGi,1)+size(Loadi,1)*1+1);
PD(Loadi)=PD(Loadi)+AlphaP*t(1:length(Loadi));
QD(Loadi)=QD(Loadi)+AlphaP*t(length(Loadi)+1:2*length(Loadi));
t=deltX(size(PVi,1)+size(PGi,1)+size(Loadi,1)*2+1:ContrlCount)';
QD(Loadi(1))=QD(Loadi(1))+AlphaP*t(length(Loadi)+1:length(Loadi)+1);
t=deltX(size(PVi,1)+size(PGi,1)+size(Loadi,1)*1+2: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

39
OPF.asv
View File

@ -1,11 +1,12 @@
tic
clc
clear
[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('D:\Project\×îС»¯³±Á÷\×îС³±Á÷ËãÀý\ԭʼ\standard.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,Liner,Linex,Lineb,Transforr,Transforx,Transfork0]= ...
pf('ieee4.dat');
%pf('D:\Project\青秀降损项目\最小化潮流\最小潮流算例\原始\津头站津视922（3-1）_0.5_120%.txt');
%pf('D:\Project\最小化潮流\最小潮流算例\仙海919.txt');
%pf('c:/file31.txt');
%pf('ieee118PG.dat');
%% 计算功率因数
%atan(PD(QD~=0 | PD~=0)./QD(QD~=0 | PD~=0));
@ -14,21 +15,23 @@ UAngel*180/3.1415926;
%% 通过潮流计算PG
AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum);
PGBal=diag(Volt)*Y.*cos(AngleIJ)*Volt';
QGBal=diag(Volt)*Y.*sin(AngleIJ)*Volt';
%% 初值-即测量值
PG0=PG;
QG0=QG;
PD0=PD;
QD0=QD;
PDReal=PD;%真值
%PD0(12)=PD0(12)+0.001;
%%
PG0(Balance)=PGBal(Balance);
QG0(Balance)=QGBal(Balance);
%%
[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wG,wD,PD,PD0,randPDind,Loadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD,PD);
[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wPG,wQG,wD,PD,PD0,QD,randPDind,Loadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD0,QD,PD);
Gap=(Init_L*Init_Z'-Init_U*Init_W');
KK=0;
plotGap=zeros(1,50);
ContrlCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)+Busnum*2;
ContrlCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)*2+Busnum*2;
kmax=60;
%% 20120523 临时
QD_NON_ZERO=QD(PD==0 & QD~=0);
@ -50,34 +53,35 @@ 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(PVi,wG,wD,ContrlCount);
deltdeltF=func_deltdeltF(PVi,wPG,wQG,wD,ContrlCount);
%% 形成ddHy
ddh=func_ddh(Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle,Loadi,ContrlCount);
%% 开始构建ddg
ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi);
%% 开始构建deltF
deltF=func_deltF(PG,PVi,PGi,wG,wD,PG0,PD0,PD,Busnum,Loadi);
deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wD,PG0,QG0,PD0,PD,Busnum,Loadi);
%% 形成方程矩阵
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,PD,Loadi);
Mat_G=FormG(Volt,PVi,PGi,PG,QG,PD,QD,Loadi);
Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,QD_NON_ZERO,QD_NON_ZERO_IND);
Ly=Mat_H;
Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD0,Loadi,KK);
Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD0,Loadi,KK);
Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD0,QD0,Loadi,KK);
Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD0,QD0,Loadi,KK);
Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
%% 开始解方程
fprintf(')
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,Loadi);
%%取各分量
[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,Busnum);
[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,Loadi);
[Init_Z,Init_L,Init_W,Init_U,Init_Y,PG,QG,Volt,UAngel,PD,QD]=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,QD,Loadi);
Gap=(Init_L*Init_Z'-Init_U*Init_W');
KK=KK+1;
end
fprintf('迭代次数%d\n',KK);
ObjectiveFun(PG,PG0,PGi,PD,PD0,wG,wD,Loadi)
%fprintf('目标值%f\n',full(ObjectiveFun(PG,PG0,PGi,PD,PD0,wG,wD,Loadi)));
DrawGap(plotGap);
%%
%Volt=full(Volt');
@ -88,7 +92,10 @@ absPDLoad=abs( (PD(Loadi)-PDReal(Loadi))./PDReal(Loadi) );
maxPDError=max(absPDLoad);
disp('index');
Loadi(absPDLoad==maxPDError);
%% ¼ÆËãÏßËð
Lineloss(Linei,Linej,Liner,Linex,Lineb2,Transfori,Transj,Transx,k0,Volt,Angle)
%% 计算总线损
totalLoss=(sum(PG)-sum(PD(Loadi)))*100;
fprintf('总的损耗为%f(MW 有名值)\n',full(totalLoss));
%% 计算各线损
Lineloss(Linei,Linej,Liner,Linex,Lineb,Transfori,Transforj,Transforr,Transforx,Transfork0,Volt,UAngel);
toc

25
OPF.m
View File

@ -2,7 +2,7 @@ tic
clc
clear
[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,Liner,Linex,Lineb,Transforr,Transforx,Transfork0]= ...
pf('ieee4PG.dat');
pf('ieee3001.dat');
%pf('D:\Project\青秀降损项目\最小化潮流\最小潮流算例\原始\津头站津视922（3-1）_0.5_120%.txt');
%pf('D:\Project\最小化潮流\最小潮流算例\仙海919.txt');
%pf('c:/file31.txt');
@ -15,21 +15,23 @@ UAngel*180/3.1415926;
%% 通过潮流计算PG
AngleIJ=sparse(r,c,UAngel(r)-UAngel(c)-Angle',Busnum,Busnum);
PGBal=diag(Volt)*Y.*cos(AngleIJ)*Volt';
QGBal=diag(Volt)*Y.*sin(AngleIJ)*Volt';
%% 初值-即测量值
PG0=PG;
QG0=QG;
PD0=PD;
QD0=QD;
PDReal=PD;%真值
%PD0(12)=PD0(12)+0.001;
%%
PG0(Balance)=PGBal(Balance);
QG0(Balance)=QGBal(Balance);
%%
[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wG,wD,PD,PD0,randPDind,Loadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD,PD);
[Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wPG,wQG,wD,PD,PD0,QD,randPDind,Loadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD0,QD,PD);
Gap=(Init_L*Init_Z'-Init_U*Init_W');
KK=0;
plotGap=zeros(1,50);
ContrlCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)*2+Busnum*2;
plotGap=zeros(1,60);
ContrlCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)*1+Busnum*2+1;
kmax=60;
%% 20120523 临时
QD_NON_ZERO=QD(PD==0 & QD~=0);
@ -46,30 +48,31 @@ while(abs(Gap)>Precision)
%% 形成等式约束的雅克比
deltH=func_deltH(Busnum,Volt,PVi,Y,PGi,UAngel,r,c,Angle,Loadi);
%% 形成不等式约束的雅克比
deltG=func_deltG(Busnum,PVi,PGi,Loadi);
deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD);
%%
L_1Z=diag(Init_Z./Init_L);
U_1W=diag(Init_W./Init_U);
%% 形成海森阵
deltdeltF=func_deltdeltF(PVi,wG,wD,ContrlCount);
deltdeltF=func_deltdeltF(PVi,wPG,wQG,wD,ContrlCount);
%% 形成ddHy
ddh=func_ddh(Volt,Init_Y,Busnum,PVi,PGi,Y,UAngel,r,c,Angle,Loadi,ContrlCount);
%% 开始构建ddg
ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi);
ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi,PD,QD);
%% 开始构建deltF
deltF=func_deltF(PG,PVi,PGi,wG,wD,PG0,PD0,PD,Busnum,Loadi);
deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wD,PG0,QG0,PD0,PD,Busnum,Loadi);
%% 形成方程矩阵
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,PD,QD,Loadi);
Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,QD_NON_ZERO,QD_NON_ZERO_IND);
Mat_H=FormH(Busnum,Volt,PG,PD,QG,QD,Y,UAngel,r,c,Angle,QD_NON_ZERO,QD_NON_ZERO_IND,Loadi);
Ly=Mat_H;
Lz=FormLz(Mat_G,Init_L,GenL,Busnum,PVQL,PD0,QD0,Loadi,KK);
Lw=FormLw(Mat_G,Init_U,GenU,Busnum,PVQU,PD0,QD0,Loadi,KK);
Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
%% 开始解方程
fprintf('µü´ú´ÎÊý %d Gap %f\n',KK+1,plotGap(KK+1));
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,Loadi);
%%取各分量
[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,Busnum);
@ -78,7 +81,7 @@ while(abs(Gap)>Precision)
KK=KK+1;
end
fprintf('迭代次数%d\n',KK);
fprintf('Ä¿±êÖµ%f\n',full(ObjectiveFun(PG,PG0,PGi,PD,PD0,wG,wD,Loadi)));
%fprintf('Ä¿±êÖµ%f\n',full(ObjectiveFun(PG,PG0,PGi,PD,PD0,wG,wD,Loadi)));
DrawGap(plotGap);
%%
%Volt=full(Volt');

34
OPF_Init.asv
View File

@ -1,13 +1,15 @@
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wG,wD,PD,PD0,randPDind]=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
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wPG,wQG,wD,PD,PD0,QD,randPDind,Loadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD0,QD,PD)
Loadi=find(QD~=0 | PD~=0);
%Loadi=[1:Busnum]';
RestraintCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)*1+Busnum*1+1; %约束条件数,只放开一个QD
t_Bal_volt=Volt(Balance);
Volt=sparse(ones(1,Busnum));
Volt=sparse(1*ones(1,Busnum));
Volt(Balance)=t_Bal_volt;
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_L=1*sparse(ones(1,RestraintCount));
Init_U=1*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
@ -15,15 +17,17 @@ tPL=sparse(GenL(:,2));%
tQL=sparse(PVQL(:,1));% 无功下限
PG(PGi)=(tPU+tPL)/2;
QG(PVi)=(tQU+tQL)/2;
wG=ones(size(PGi,1),1);
randInt=randperm(300);
asc_randInt=sort(randInt,2,'ascend' );
randPDind=randInt(1:200);
wD=ones(Busnum,1);
wD(randPDind)=0;%一些负荷不约束
%wD(Balance)=0;
PD0(randPDind)=0;
wPG=1*ones(size(PGi,1),1);
wQG=1*zeros(size(PVi,1),1);
%randInt=randperm(size(Loadi,1));
%randPDind=randInt(1:10);
randPDind=0;
wD=1*zeros(size(Loadi,1),1);
%wD(randPDind)=0;%一些负荷不约束
%wD(7)=0;
% wD(11)=0;
PD=1*PD0;
%PD(PD==0)=.2;
%powerFacter=0.98;
%QD=PD*sqrt((1-powerFacter^2)/powerFacter^2);
QD=QD0;
end

11
OPF_Init.m
View File

@ -1,7 +1,7 @@
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wG,wD,PD,PD0,randPDind,Loadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD,PD)
function [Volt,UAngel,Init_Z,Init_W,Init_L,Init_U,Init_Y,PG,QG,RestraintCount,wPG,wQG,wD,PD,PD0,QD,randPDind,Loadi]=OPF_Init(Busnum,Balance,PG,QG,Volt,GenU,GenL,PVi,PGi,PVQU,PVQL,PD0,QD0,QD,PD)
Loadi=find(QD~=0 | PD~=0);
%Loadi=[1:Busnum]';
RestraintCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)*2+Busnum*1; %约束条件数
RestraintCount=size(PVi,1)+size(PGi,1)+size(Loadi,1)*1+Busnum*1+1; %约束条件数,只放开一个QD
t_Bal_volt=Volt(Balance);
Volt=sparse(1*ones(1,Busnum));
Volt(Balance)=t_Bal_volt;
@ -17,7 +17,8 @@ tPL=sparse(GenL(:,2));%
tQL=sparse(PVQL(:,1));% 无功下限
PG(PGi)=(tPU+tPL)/2;
QG(PVi)=(tQU+tQL)/2;
wG=1*ones(size(PGi,1),1);
wPG=1*ones(size(PGi,1),1);
wQG=1*ones(size(PVi,1),1);
%randInt=randperm(size(Loadi,1));
%randPDind=randInt(1:10);
randPDind=0;
@ -26,5 +27,7 @@ wD=1*ones(size(Loadi,1),1);
%wD(7)=0;
% wD(11)=0;
PD=1*PD0;
%powerFacter=0.98;
%QD=PD*sqrt((1-powerFacter^2)/powerFacter^2);
QD=QD0;
end

4
SolveIt.m
View File

@ -10,14 +10,14 @@ aa=[
];
yy=[LxComa;-Ly];
%% 平衡节点电压不变
t=size(PVi,1)+size(PGi,1)+size(Loadi,1);
t=size(PVi,1)+size(PGi,1)+size(Loadi,1)+1;
aa(t+Balance,:)=0;
aa(:,t+Balance)=0;
%aa(t+Balance,t+Balance)=1;
aa=aa+sparse(t+Balance,t+Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum);
deltG(t+Balance,:)=0;
%%
t=size(PVi,1)+size(PGi,1)+size(Loadi,1)+Busnum*1;
t=size(PVi,1)+size(PGi,1)+size(Loadi,1)+1+Busnum*1;
aa(t+Balance,:)=0;
aa(:,t+Balance)=0;
%aa(t+Balance,t+Balance)=1;

98
func_ddg.asv
View File

@ -1,93 +1,9 @@
function ddg=func_ddg(AngleIJMat,GB,Volt,Init_W,Init_Z,Busnum,indexi,indexj,PVi,RestraintCount)
c=Init_W+Init_Z;
%% dg4_dTdT 对角元素
%t1=-Volt'*Volt;
t1=Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
t4=t3(sub2ind(size(t3),indexi,indexj));
t5=zeros(Busnum);
offset=2*size(PVi,1)+Busnum;
for I=1:size(indexi,2)
t5(indexi(I),indexi(I))=t4(I)*c(offset+I);
t5(indexj(I),indexj(I))=t4(I)*c(offset+I);
end
dPdTidTi=t5; %@@@
%% dg4_dTdT 非对角元素
%t1=Volt'*Volt;
t1=-Volt'*Volt;
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t3=t1.*t2;
t5=zeros(Busnum);
for I=1:size(indexi,2)
t5(indexi(I),indexj(I))=t3(indexi(I),indexj(I))*c(offset+I);
t5(indexj(I),indexi(I))=t3(indexi(I),indexj(I))*c(offset+I);
end
dPdTidTj=t5;% @@@
%% dg4_dVdV 对角元素
t1=real(GB)*2;
%dPijdVidVi=t1;
t2=zeros(Busnum);
for I=1:size(indexi,2)
t2(indexi(I),indexi(I))=t1(indexi(I),indexj(I))*c(offset+I);
end
dPdVidVi=t2; % @
%% dg4_dVdV 非对角元素
t2=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
t4=zeros(Busnum);
for I=1:size(indexi,2)
%t4(indexi(I),indexj(I))=t2(indexi(I),indexj(I))*c(offset+I);
t4(indexi(I),indexj(I))=-t2(indexi(I),indexj(I))*c(offset+I);
%t4(indexj(I),indexi(I))=t2(indexi(I),indexj(I))*c(offset+I);
t4(indexj(I),indexi(I))=-t2(indexi(I),indexj(I))*c(offset+I);
end
dPdVidVj=t4; %@@
%% dg4_dTdV 对角元素
t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t4=zeros(Busnum);
for I=1:size(indexi,2)
%t4(indexi(I),indexi(I))=-Volt(indexj(I))*t2(indexi(I),indexi(I))*c(offset+I);
t4(indexi(I),indexi(I))=Volt(indexj(I))*t2(indexi(I),indexj(I))*c(offset+I);
%t4(indexj(I),indexj(I))=Volt(indexi(I))*t2(indexj(I),indexj(I))*c(offset+I);
t4(indexj(I),indexj(I))=-Volt(indexi(I))*t2(indexi(I),indexj(I))*c(offset+I);
end
dPdTidVi=t4; % @@
%% dg4_dTdV 非对角元素
t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=zeros(Busnum);
for I=1:size(indexi,2)
%t2(indexi(I),indexj(I))=-Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I);
t2(indexi(I),indexj(I))=Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I);
%t2(indexj(I),indexi(I))=Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I);
t2(indexj(I),indexi(I))=-Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I);
end
dPdTidVj=t2; % @@
%% dg4_dVdT 对角元素
dPdVidTi=dPdTidVi;
%% dg4_dVdT 非对角元素
t1=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
t2=zeros(Busnum);
for I=1:size(indexi,2)
%t2(indexi(I),indexj(I))=Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I);
t2(indexi(I),indexj(I))=-Volt(indexj(I))*t1(indexi(I),indexj(I))*c(offset+I);
%t2(indexj(I),indexi(I))=Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I);
t2(indexj(I),indexi(I))=Volt(indexi(I))*t1(indexi(I),indexj(I))*c(offset+I);
end
dPdVidTj=t2; % @
%% 生成ddg4ddx
ddg4ddx=zeros(2*Busnum,2*Busnum);
ddg4ddx(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTj;%%非对角 TT
ddg4ddx(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVj;%%非对角 TV
ddg4ddx(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTj;%%非对角 VT
ddg4ddx(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVj;%%非对角 VV
ddg4ddx(1:2:2*Busnum,1:2:2*Busnum)=dPdTidTi;%%对角
ddg4ddx(1:2:2*Busnum,2:2:2*Busnum)=dPdTidVi;%%对角
ddg4ddx(2:2:2*Busnum,1:2:2*Busnum)=dPdVidTi;%%对角
ddg4ddx(2:2:2*Busnum,2:2:2*Busnum)=dPdVidVi;%%对角
%% 生成ddg
t=[zeros(2*size(PVi,1),RestraintCount);
zeros(2*Busnum,RestraintCount-size(PVi,1)-2*Busnum),ddg4ddx;
];
function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi,PD,QD)
ddg=t;
ddg1=sparse(size(PVi,1)+size(PGi,1)+Loadi*2+Busnum,RestraintCount);
t1=sparse(length(Loadi),size(PVi,1)+size(PGi,1)+Busnum)
ddg2=sparse(length(Loadi),diag(-2./PD.^2-2*(QD.^2-PD.^2)/(PD.^2+QD.^2)));
ddg3=diag(2*(PD.^2-QD.^2)/(PD.^2+QD.^2));
ddg4=sparse(Busnum,RestraintCount);
ddg=[ddg1;ddg2;ddg3;ddg4];
end

5
func_ddg.m
View File

@ -1,5 +1,4 @@
function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi)
ddg=sparse(size(PVi,1)+size(PGi,1)+size(Loadi,1)*2+1*Busnum,RestraintCount);
function ddg=func_ddg(PGi,PVi,Busnum,RestraintCount,Loadi,PD,QD)
ddg=0;
end

2
func_ddh.m
View File

@ -50,7 +50,7 @@ t=[ddPdVdV+ddQdVdV,ddPdVdT+ddQdVdT;
];
sizePGi=size(PGi,1);
sizePVi=size(PVi,1);
sizeLoadi=size(Loadi,1)*2;
sizeLoadi=size(Loadi,1)*1+1;
ddh=[
sparse(sizePGi+sizePVi+sizeLoadi,ContrlCount);
sparse(2*Busnum,sizePVi+sizePGi+sizeLoadi),-t;

11
func_deltF.m
View File

@ -1,12 +1,13 @@
function deltF=func_deltF(PG,PVi,PGi,wG,wD,PG0,PD0,PD,Busnum,Loadi)
function deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wD,PG0,QG0,PD0,PD,Busnum,Loadi)
t1=2*wG.*(PG(PGi) - PG0(PGi) );
t2=2*wD.*(PD(Loadi)-PD0(Loadi));
t1=2*wPG.*(PG(PGi) - PG0(PGi) );
t2=2*wQG.*(QG(PVi) - QG0(PVi) );
t3=2*wD.*(PD(Loadi)-PD0(Loadi));
deltF=[
sparse(t1);
sparse(size(PVi,1),1);
sparse(t2);
sparse(length(Loadi),1);
sparse(t3);
sparse(length(Loadi(1)),1);
sparse(2*Busnum,1);
];

70
func_deltG.asv
View File

@ -1,30 +1,46 @@
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);
function deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD)
%%
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);
sizePGi=size(PGi,1);
sizePVi=size(PVi,1);
sizeLoadi=size(Loadi,1);
%%
dg1_dPg=sparse(1:sizePGi,1:sizePGi,ones(sizePGi,1),sizePGi,sizePGi);
dg2_dPg=sparse(sizePGi,sizePVi);
dg3_dPg=sparse(sizePGi,sizeLoadi);
dg4_dPg=sparse(sizePGi,sizeLoadi);
dg5_dPg=sparse(sizePGi,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;ÔÝĘą¸ÄŇťĎÂ
dg4_dx(I,I)=1;
end
dg1_dQr=sparse(sizePVi,sizePGi);
dg2_dQr=sparse(1:sizePVi,1:sizePVi,ones(sizePVi,1),sizePVi,sizePVi);
dg3_dQr=sparse(sizePVi,sizeLoadi);
dg4_dQr=sparse(sizePVi,sizeLoadi);
dg5_dQr=sparse(sizePVi,Busnum);
%%
dg1_dPD=sparse(size(Loadi,1),size(PGi,1));
dg2_dPD=sparse(size(Loadi,1),size(PVi,1));
dg3_dPD=sparse(1:size(Loadi,1),1:size(Loadi,1),ones(size(Loadi,1),1),size(Loadi,1),size(Loadi,1));
dg4_dPD=sparse(size(Loadi,1),sizeLoadi);
dg5_dPD=sparse(size(Loadi,1),Busnum);
%%
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;
];
dg1_dQD=sparse(size(Loadi(1),1),size(PGi,1));
dg2_dQD=sparse(size(Loadi(1),1),size(PVi,1));
dg3_dQD=sparse(length(Loadi(1)),length(Loadi));
dg4_dQD=sparse(1:size(Loadi(1),1),1:size(Loadi(1),1),ones(size(Loadi(1),1),1),size(Loadi(1),1),size(Loadi(1),1));
dg5_dQD=sparse(size(Loadi(1),1),Busnum);
%%
dg1_dx=sparse(2*Busnum,sizePGi);
dg2_dx=sparse(2*Busnum,sizePVi);
dg3_dx=sparse(2*Busnum,sizeLoadi);
dg4_dx=sparse(2*Busnum,sizeLoadi);
dg5_dx=[sparse(1:Busnum,1:Busnum,ones(Busnum,1),Busnum,Busnum);
sparse(Busnum,Busnum);
];
%%
deltG=[dg1_dPg,dg2_dPg,dg3_dPg,dg4_dPg,dg5_dPg;
dg1_dQr,dg2_dQr,dg3_dQr,dg4_dQr,dg5_dQr;
dg1_dPD,dg2_dPD,dg3_dPD,dg4_dPD,dg5_dPD;
dg1_dQD,dg2_dQD,dg3_dQD,dg4_dQD,dg5_dQD,dg6_dQD;
dg1_dx,dg2_dx,dg3_dx,dg4_dx,dg5_dx,dg6_dx;
];
end

24
func_deltG.m
View File

@ -1,4 +1,4 @@
function deltG=func_deltG(Busnum,PVi,PGi,Loadi)
function deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD)
%%
sizePGi=size(PGi,1);
sizePVi=size(PVi,1);
@ -7,31 +7,32 @@ sizeLoadi=size(Loadi,1);
dg1_dPg=sparse(1:sizePGi,1:sizePGi,ones(sizePGi,1),sizePGi,sizePGi);
dg2_dPg=sparse(sizePGi,sizePVi);
dg3_dPg=sparse(sizePGi,sizeLoadi);
dg4_dPg=sparse(sizePGi,sizeLoadi);
dg4_dPg=sparse(sizePGi,1);
dg5_dPg=sparse(sizePGi,Busnum);
%%
dg1_dQr=sparse(sizePVi,sizePGi);
dg2_dQr=sparse(1:sizePVi,1:sizePVi,ones(sizePVi,1),sizePVi,sizePVi);
dg3_dQr=sparse(sizePVi,sizeLoadi);
dg4_dQr=sparse(sizePVi,sizeLoadi);
dg4_dQr=sparse(sizePVi,1);
dg5_dQr=sparse(sizePVi,Busnum);
%%
dg1_dPD=sparse(size(Loadi,1),size(PGi,1));
dg2_dPD=sparse(size(Loadi,1),size(PVi,1));
dg3_dPD=sparse(1:size(Loadi,1),1:size(Loadi,1),ones(size(Loadi,1),1),size(Loadi,1),size(Loadi,1));
dg4_dPD=sparse(size(Loadi,1),sizeLoadi);
dg4_dPD=sparse(size(Loadi,1),1);
dg5_dPD=sparse(size(Loadi,1),Busnum);
%%
dg1_dQD=sparse(size(Loadi,1),size(PGi,1));
dg2_dQD=sparse(size(Loadi,1),size(PVi,1));
dg3_dQD=sparse(length(Loadi),length(Loadi));
dg4_dQD=sparse(1:size(Loadi,1),1:size(Loadi,1),ones(size(Loadi,1),1),size(Loadi,1),size(Loadi,1));
dg5_dQD=sparse(size(Loadi,1),Busnum);
dg1_dQD=sparse(size(Loadi(1),1),size(PGi,1));
dg2_dQD=sparse(size(Loadi(1),1),size(PVi,1));
dg3_dQD=sparse(length(Loadi(1)),length(Loadi));
dg4_dQD=sparse(1:size(Loadi(1),1),1:size(Loadi(1),1),ones(size(Loadi(1),1),1),size(Loadi(1),1),size(Loadi(1),1));
dg5_dQD=sparse(size(Loadi(1),1),Busnum);
%%
dg1_dx=sparse(2*Busnum,sizePGi);
dg2_dx=sparse(2*Busnum,sizePVi);
dg3_dx=sparse(2*Busnum,sizeLoadi);
dg4_dx=sparse(2*Busnum,sizeLoadi);
dg4_dx=sparse(2*Busnum,1);
dg5_dx=[sparse(1:Busnum,1:Busnum,ones(Busnum,1),Busnum,Busnum);
sparse(Busnum,Busnum);
];
@ -41,4 +42,5 @@ deltG=[dg1_dPg,dg2_dPg,dg3_dPg,dg4_dPg,dg5_dPg;
dg1_dPD,dg2_dPD,dg3_dPD,dg4_dPD,dg5_dPD;
dg1_dQD,dg2_dQD,dg3_dQD,dg4_dQD,dg5_dQD;
dg1_dx,dg2_dx,dg3_dx,dg4_dx,dg5_dx;
];
];
end

3
func_deltH.m
View File

@ -3,7 +3,8 @@ function deltH=func_deltH(Busnum,Volt,PVi,Y,PGi,UAngel,r,c,Angle,Loadi)
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_dPD=[sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum) sparse(size(Loadi,1),Busnum)];
dH_dQD=[sparse(size(Loadi,1),Busnum) sparse(1:size(Loadi,1),Loadi,-ones(size(Loadi,1),1),size(Loadi,1),Busnum)];
dH_dQD=[sparse(size(Loadi(1),1),Busnum) sparse(1:size(Loadi(1),1),Loadi(1),-ones(size(Loadi(1),1),1),size(Loadi(1),1),Busnum)];
dH_dx = jacobian_M(Busnum,Volt,Y,Angle,UAngel,r,c); %形成雅克比矩阵
deltH=[dH_dPg;dH_dQr;dH_dPD;dH_dQD;dH_dx'];
end

4
func_deltdeltF.m
View File

@ -1,7 +1,7 @@
function deltdeltF=func_deltdeltF(PVi,wG,wD,ContrlCount)
function deltdeltF=func_deltdeltF(PVi,wPG,wQG,wD,ContrlCount)
%ContrlCount=size(PVi,1)+size(PGi,1)+size(wD,1)+Busnum*2; %P,Q,Volt theta这些控制变量数
C=[wG' zeros(size(PVi))' wD'];
C=[wPG' wQG' wD'];
sizeC=size(C,2);
diagC=sparse(1:sizeC,1:sizeC,C,sizeC,sizeC);
deltdeltF=[