把原来的OPF重新加入这里面,收敛了,但总觉得有地方不太对。

Signed-off-by: dugg@lab-desk <dugg@lab-desk>
This commit is contained in:
dugg@lab-desk 2014-10-19 11:42:44 +08:00
parent 9de3ff5b2d
commit 17412d8ec5
13 changed files with 79 additions and 126 deletions

14
FormG.m
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@ -1,8 +1,14 @@
function Mat_G=FormG(I1r,I1i) function Mat_G=FormG(I1r,I1i)
% Mat_G=[ %t1=PG(PVi);
% I1r; %GP=t1;%P
% I1i; %GP=[4.5 4.5]';
% ]; %%线
%Q
% t1=Volt'*Volt;
% t2=real(GB).*sin(AngleIJMat)-imag(GB).*cos(AngleIJMat);
% t3=t1.*t2;
% t4=sum(t3,2);%Q
%GQ=t4;
Mat_G=[ Mat_G=[
I1r.^2+I1i.^2; I1r.^2+I1i.^2;
]; ];

14
FormH.m
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@ -1,15 +1,6 @@
function Mat_H=FormH(fsY11,Loadi,V1r,V1i,I1r,I1i,BalI1r,BalI1i,Balance) function Mat_H=FormH(fsY11,Loadi,V1r,V1i,I1r,I1i,BalI1r,BalI1i,Balance)
%%
%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;
%
% Mat_H=[dP;dQ;];
H=[ H=[
real(fsY11),-imag(fsY11); real(fsY11),-imag(fsY11);
imag(fsY11),real(fsY11); imag(fsY11),real(fsY11);
@ -21,4 +12,5 @@ Mat_H=H*[V1r;V1i];
Mat_H=Mat_H+sparse(Loadi,1,-I1r,busNum*2,1)+sparse(Loadi+busNum,1,-I1i,busNum*2,1); Mat_H=Mat_H+sparse(Loadi,1,-I1r,busNum*2,1)+sparse(Loadi+busNum,1,-I1i,busNum*2,1);
Mat_H(Balance)=Mat_H(Balance)-BalI1r; Mat_H(Balance)=Mat_H(Balance)-BalI1r;
Mat_H(Balance+busNum)=Mat_H(Balance+busNum)-BalI1i; Mat_H(Balance+busNum)=Mat_H(Balance+busNum)-BalI1i;
end end

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@ -1,12 +1,5 @@
function Lw=FormLw(Loadi,Mat_G,Init_U) function Lw=FormLw(Loadi,Mat_G,Init_U)
% VoltU=sparse(1.2*ones(Busnum,1));
% PDU=sparse(2*ones(length(Loadi),1));
% QDU=sparse(2*ones(length(Loadi),1));
% t1=[PDU;
% QDU;
% VoltU];
% t2=Mat_G+Init_U-t1;
% Lw=t2;
upper=2*sparse(ones(length(Loadi)*1,1)); upper=2*sparse(ones(length(Loadi)*1,1));
Lw=Mat_G+Init_U-upper; Lw=Mat_G+Init_U-upper;
end end

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@ -1,14 +1,5 @@
function Lz=FormLz(Loadi,Mat_G,Init_L) function Lz=FormLz(Loadi,Mat_G,Init_L)
% VoltL=sparse(0.8*ones(Busnum,1));
% PDL=sparse(-2*ones(length(Loadi),1));
% QDL=sparse(-2*ones(length(Loadi),1));
% t1=[PDL;
% QDL;
% VoltL
% ];
% t2=Mat_G-Init_L-t1;
% Lz=t2;
lower=0*sparse(ones(length(Loadi)*1,1)); lower=0*sparse(ones(length(Loadi)*1,1));
Lz=Mat_G-Init_L-lower; Lz=Mat_G-Init_L-lower;
% Lz=-[]
end end

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@ -2,8 +2,8 @@ function [ V1r,V1i,I1r,I1i ] = IPMLoop(measurement,BalI1r,BalI1i,busNum,Loadi,fs
% %
V1r=1*ones(busNum,1); V1r=1*ones(busNum,1);
V1i=0*ones(busNum,1); V1i=0*ones(busNum,1);
I1r=0.01*ones(length(Loadi),1);% I1r=0.1*ones(length(Loadi),1);%
I1i=0.01*ones(length(Loadi),1);% I1i=0.1*ones(length(Loadi),1);%
KK=0; KK=0;
plotGap=zeros(1,60); plotGap=zeros(1,60);
% %
@ -12,32 +12,36 @@ RestraintCount=length(Loadi)*1;
ContrlCount=busNum*2+length(Loadi)*2; ContrlCount=busNum*2+length(Loadi)*2;
CenterA=0.1; CenterA=0.1;
Init_Z=sparse(ones(RestraintCount,1)); Init_Z=sparse(ones(RestraintCount,1));
Init_W=sparse(-1*ones(RestraintCount,1)); Init_W=sparse(-1.0*ones(RestraintCount,1));
Init_L=1*sparse(ones(RestraintCount,1)); Init_L=1*sparse(ones(RestraintCount,1));
Init_U=1*sparse(ones(RestraintCount,1)); Init_U=1*sparse(ones(RestraintCount,1));
Init_Y=sparse(2*busNum,1);% Init_Y=sparse(2*busNum,1);%
Gap=(Init_L'*Init_Z-Init_U'*Init_W); Gap=(Init_L'*Init_Z-Init_U'*Init_W);
% PG=sparse(busNum,1); kmax=60;
% PG(Balance)=0.1105; while(abs(Gap)>0.000001)
% QG=sparse(busNum,1); if KK>kmax
% QG(Balance)=0.0984; break;
% SEPD(2)=0.1105; end
% SEQD(2)=0.0984; plotGap(KK+1)=Gap;
while Gap>1e-5 && KK<20
KK=KK+1;
Init_u=Gap/2/RestraintCount*CenterA; Init_u=Gap/2/RestraintCount*CenterA;
%% OPF
%%
deltH=func_deltH(busNum,fsY1,Loadi,Balance); deltH=func_deltH(busNum,fsY1,Loadi,Balance);
%%
deltG=func_deltG(busNum,Loadi,I1r,I1i); deltG=func_deltG(busNum,Loadi,I1r,I1i);
% deltG=0; %%
% L_1Z=diag(Init_Z./Init_L); L_1Z=diag(Init_Z./Init_L);
% U_1W=diag(Init_W./Init_U); U_1W=diag(Init_W./Init_U);
%%
deltdeltF=func_deltdeltF(busNum,fsY1,Loadi); deltdeltF=func_deltdeltF(busNum,fsY1,Loadi);
% deltdeltF=0; %% ddHy
% ddh=func_ddh(SEVmf1,Init_Y,busNum,fsY1amp,SEVaf1,r,c,fsY1ang,Loadi,ContrlCount); % ddh=func_ddh(busNum,Loadi,Init_Z,Init_W);
ddh=0; ddh=0;
%% ddg
ddg=func_ddg(busNum,Loadi,Init_Z,Init_W); ddg=func_ddg(busNum,Loadi,Init_Z,Init_W);
%% deltF
deltF=func_deltF(measurement,busNum,fsY1,Loadi,V1r,V1i,I1r,I1i); deltF=func_deltF(measurement,busNum,fsY1,Loadi,V1r,V1i,I1r,I1i);
% deltF=0; %%
Luu=Init_U.*Init_W+Init_u*ones(RestraintCount,1); Luu=Init_U.*Init_W+Init_u*ones(RestraintCount,1);
Lul=Init_L.*Init_Z-Init_u*ones(RestraintCount,1); Lul=Init_L.*Init_Z-Init_u*ones(RestraintCount,1);
Mat_G=FormG(I1r,I1i); Mat_G=FormG(I1r,I1i);
@ -46,14 +50,15 @@ while Gap>1e-5 && KK<20
Lz=FormLz(Loadi,Mat_G,Init_L); Lz=FormLz(Loadi,Mat_G,Init_L);
Lw=FormLw(Loadi,Mat_G,Init_U); Lw=FormLw(Loadi,Mat_G,Init_U);
Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W); Lx=FormLx(deltF,deltH,Init_Y,deltG,Init_Z,Init_W);
% YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx); YY=FormYY(Lul,Lz,Ly,Luu,Lw,Lx);
%% %%
plotGap(KK)=Gap; 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,busNum);
fprintf(' %d Gap %f\n',KK,plotGap(KK)); %%
XX=SolveIt(deltF,deltG,Init_L,Init_Z,Init_U,Init_W,deltdeltF,ddh,ddg,deltH,Init_Y,Ly,Lz,ContrlCount,Lw,Lul,Luu,Lx,Balance,busNum,Loadi);
[deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,busNum); [deltZ,deltL,deltW,deltU,deltX,deltY]=AssignXX(XX,ContrlCount,RestraintCount,busNum);
[Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi,Vref); [Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi);
Gap=(Init_L'*Init_Z-Init_U'*Init_W); Gap=(Init_L'*Init_Z-Init_U'*Init_W);
fprintf('Gap %f\n',full(Gap));
KK=KK+1;
end end
f=sum(([real(measurement);imag(measurement)]-[-I1r;-I1i]).^2); f=sum(([real(measurement);imag(measurement)]-[-I1r;-I1i]).^2);

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@ -1,22 +1,27 @@
function [Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY, ... function [Init_Z,Init_L,Init_W,Init_U,Init_Y,V1r,V1i,I1r,I1i]=Modification(Init_Z,Init_L,Init_W,Init_U,Init_Y,deltZ,deltL,deltW,deltU,deltX,deltY,V1r,V1i,I1r,I1i,ContrlCount,Balance,Busnum,Loadi)
V1r,V1i,I1r,I1i,ContrlCount,Balance,busNum,Loadi,Vref)
AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU); AlphaP=FormAlphaP(Init_L,deltL,Init_U,deltU);
% fprintf('AlphaP %f\n',full(AlphaP));
AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW); AlphaD=FormAlphaD(Init_Z,deltZ,Init_W,deltW);
% fprintf('AlphaD %f\n',full(AlphaD));
Init_Z=Init_Z+AlphaD*deltZ; Init_Z=Init_Z+AlphaD*deltZ;
Init_L=Init_L+AlphaP*deltL; Init_L=Init_L+AlphaP*deltL;
Init_W=Init_W+AlphaD*deltW; Init_W=Init_W+AlphaD*deltW;
Init_U=Init_U+AlphaP*deltU; Init_U=Init_U+AlphaP*deltU;
Init_Y=Init_Y+AlphaD*deltY; Init_Y=Init_Y+AlphaD*deltY;
t=deltX(1:busNum*2); %PG(PGi)=PG(PGi)+deltX(1:size(PGi,1));
V1r=V1r+AlphaP*t(1:busNum); % PG(PGi)=PG(PGi)+AlphaP*deltX(1:size(PGi,1));
V1r(Balance)=Vref; V1r=V1r+AlphaP*deltX(1:Busnum);
V1i=V1i+AlphaP*t(busNum+1:end); V1r(Balance)=1;
V1i=V1i+AlphaP*deltX(Busnum+1:2*Busnum);
V1i(Balance)=0; V1i(Balance)=0;
t=deltX(busNum*2+1:ContrlCount); %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(Busnum*2+1:ContrlCount);
I1r=I1r+AlphaP*t(1:length(Loadi)); I1r=I1r+AlphaP*t(1:length(Loadi));
I1i=I1i+AlphaP*t(length(Loadi)+1:end); I1i=I1i+AlphaP*t(length(Loadi)+1:end);
%balVolt=1;%Volt(Balance);
%Volt=Volt+AlphaP*t(1:Busnum); %Volt=Volt+AlphaP*t(2:2:2*Busnum);ÔÝʱ¸ÄÒ»ÏÂ20111227
%Volt(Balance)=balVolt; %UAngel=UAngel+AlphaP*t(1:2:2*Busnum);ÔÝʱ¸ÄÒ»ÏÂ20111227
%UAngel=UAngel+AlphaP*t(Busnum+1:2*Busnum);
end end

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@ -1,31 +1,26 @@
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,Lx,Balance,Busnum,Loadi) 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,ConstraintCount,Lx,Balance,Busnum)
LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx); LxComa=FormLxComa(deltF,deltG,deltH,Init_L,Luu,Lul,Init_Z,Init_Y,Lz,Init_U,Init_W,Lw,Lx);
H=-deltdeltF+ddh+ddg; H=-deltdeltF+ddh+ddg;%+ddg*(Init_Z'+Init_W');
t1=diag(Init_Z./Init_L-Init_W./Init_U); t1=diag(Init_L.\Init_Z-Init_U.\Init_W);
t2=-deltG*( t1 )*deltG'; t2=-deltG*( t1 )*deltG';
aa=[ aa=[
(H+t2),deltH; (H+t2),deltH;
deltH',zeros(length(Init_Y)); deltH',sparse(length(Init_Y),length(Init_Y));
]; ];
yy=[LxComa;-Ly]; yy=[LxComa;-Ly];
%%
% t=size(PVi,1)+size(PGi,1);%
% yy(t+Balance)=0;
aa(Balance,:)=0; aa(Balance,:)=0;
aa(:,Balance)=0; aa(:,Balance)=0;
aa=aa+sparse(Balance,Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum); aa=aa+sparse(Balance,Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum);
deltG(Balance,:)=0;
%% %
t=Busnum*1; t=Busnum;%
aa(t+Balance,:)=0; aa(t+Balance,:)=0;
aa(:,t+Balance)=0; aa(:,t+Balance)=0;
aa=aa+sparse(t+Balance,t+Balance,ones(length(Balance),1),ContrlCount+2*Busnum,ContrlCount+2*Busnum); aa(t+Balance,t+Balance)=1;
deltG(t+Balance,:)=0;
%%
dxdy=aa\yy; dxdy=aa\yy;
%% KLU
%spy(aa)
%dxdy = klu(aa,'\',full(yy));
%%
dX=dxdy(1:ContrlCount); dX=dxdy(1:ContrlCount);
dY=dxdy(ContrlCount+1:ContrlCount+2*Busnum); dY=dxdy(ContrlCount+1:ContrlCount+2*Busnum);
dL=Lz+deltG'*dX; dL=Lz+deltG'*dX;

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@ -5,8 +5,8 @@
0 0
632 30 0 0 632 30 0 0
0 0
632 120 120 120 110 90 90
631 90 100 110 80 90 90 631 90 100 110 80 90 90
632 120 120 120 110 90 90
0 0

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@ -1,5 +1,5 @@
function ddg=func_ddg(busNum,Loadi,Init_Z,Init_W) function ddg=func_ddg(busNum,Loadi,Init_Z,Init_W)
% ddg=0;
Init_ZW=Init_Z+Init_W; Init_ZW=Init_Z+Init_W;
t=[2*diag( ones(length(Loadi),1).*Init_ZW),zeros(length(Loadi)); t=[2*diag( ones(length(Loadi),1).*Init_ZW),zeros(length(Loadi));
zeros(length(Loadi)),2*diag( ones(length(Loadi),1).*Init_ZW); zeros(length(Loadi)),2*diag( ones(length(Loadi),1).*Init_ZW);

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@ -1,15 +1,15 @@
function deltF=func_deltF(measurement,busNum,fsY11,Loadi,V1r,V1i,I1r,I1i) function deltF=func_deltF(measurement,busNum,fsY11,Loadi,V1r,V1i,I1r,I1i)
% H=[ %t1=PG(setdiff(PVi,Balance));
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2); % t2=Volt'*Volt;
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2); % t3=real(GB).*cos(AngleIJMat)+imag(GB).*sin(AngleIJMat);
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi)); % t4=t2.*t3;
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi)); % t5=sum(t4,2);
% ]; % PBal=t5(Balance);
% X=[V1r;V1i;I1r;I1i]; % PPG=([PQ(1),PBal])';%
% deltF=-H'*(measurement-H*X); %%
deltF=[ deltF=[
zeros(busNum*2,1); zeros(busNum*2,1);
-2*( [real(measurement);imag(measurement)]-[I1r;I1i]); -2*( [real(measurement);imag(measurement)]-[I1r;I1i]);
]; ];
% deltF=0;
end end

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@ -1,19 +1,4 @@
function deltG=func_deltG(busNum,Loadi,I1r,I1i) function deltG=func_deltG(busNum,Loadi,I1r,I1i)
% dgV_dPD=sparse(length(Loadi),busNum);
% dgV_dQD=sparse(length(Loadi),busNum);
% dgV_dx=[sparse(1:busNum,1:busNum,ones(busNum,1),busNum,busNum);
% sparse(busNum,busNum);
% ];
% %
% dgPD_dPD=sparse(eye(length(Loadi)));
% dgPD_dQD=sparse(length(Loadi),length(Loadi));
% dgPD_dx=sparse(busNum*2,length(Loadi));
% %
% dgQD_dPD=sparse(length(Loadi),length(Loadi));
% dgQD_dQD=sparse(eye(length(Loadi)));
% dgQD_dx=sparse(busNum*2,length(Loadi));
% %%
deltG=[ deltG=[
zeros(busNum*2,length(Loadi)*1); zeros(busNum*2,length(Loadi)*1);
2*eye(length(Loadi)*1)*diag(I1r); 2*eye(length(Loadi)*1)*diag(I1r);

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@ -1,8 +1,4 @@
function deltH=func_deltH(busNum,fsY11,Loadi,Balance) function deltH=func_deltH(busNum,fsY11,Loadi,Balance)
% 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_dx = jacobian(Busnum,Volt,Y,Angle,UAngel,r,c); %
% deltH=[dH_dPD;dH_dQD;dH_dx'];
H=[ H=[
real(fsY11),-imag(fsY11); real(fsY11),-imag(fsY11);
imag(fsY11),real(fsY11); imag(fsY11),real(fsY11);

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@ -1,22 +1,7 @@
function deltdeltF=func_deltdeltF(busNum,fsY11,Loadi) function deltdeltF=func_deltdeltF(busNum,fsY11,Loadi)
% H=[
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
% ];
% H=[
% real(fsY11),-imag(fsY11),zeros(busNum,length(Loadi)*2);
% imag(fsY11),real(fsY11),zeros(busNum,length(Loadi)*2);
% zeros(length(Loadi),busNum*2), eye(length(Loadi)),zeros(length(Loadi));
% zeros(length(Loadi),busNum*2), zeros(length(Loadi)),eye(length(Loadi));
% ];
% deltdeltF=H'*H;
deltdeltF=[ deltdeltF=[
zeros(busNum*2,busNum*2+length(Loadi)*2); zeros(busNum*2,busNum*2+length(Loadi)*2);
zeros(length(Loadi)*2,busNum*2),2*eye(length(Loadi)*2); zeros(length(Loadi)*2,busNum*2),2*eye(length(Loadi)*2);
]; ];
% deltdeltF=0;
end end