stateestimation-ipm/run.asv

clear
clc
% yalmip('clear')
addpath('.\Powerflow')
[~, ~, ~, ~,Volt,Vangle,Y,Yangle,r,c,newwordParameter,PG,QG,PD,QD,Balance]=pf('ieee14.dat', '0');
%% <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
% <20><>ѹ <20>ڵ<EFBFBD><DAB5><EFBFBD><EFBFBD><EFBFBD> ֧·<D6A7><C2B7><EFBFBD><EFBFBD> <20>ڵ㹦<DAB5><E3B9A6> ֧·<D6A7><C2B7><EFBFBD><EFBFBD>
%%
%% ״̬<D7B4><CCAC>
% <20><>ѹ <20><><EFBFBD><EFBFBD>
%%
%% <20><>ʼ<EFBFBD><CABC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
sigma=0.05;% <20><>׼<EFBFBD><D7BC>
%% <20><>ѹ
%<25><>ѹ<EFBFBD><D1B9>ֵ
rVolt=Volt; %<25><>ֵ
BalanceVolt=Volt(Balance);
mVolt=rVolt.*(normrnd(0,sigma,length(Volt),1)+1);%<25><>ѹ<EFBFBD><D1B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
rVAngel=Vangle;
%% <20><><EFBFBD><EFBFBD>
%ע<><D7A2><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
cmpY=Y.*exp(1j*sparse(r,c,Yangle,length(Y),length(Y)));%<25><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɾ<EFBFBD><C9BE><EFBFBD>
cmpV=Volt.*exp(1j*Vangle); %<25><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѹ
cmpI=cmpY*cmpV;% ע<><D7A2><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
rI=abs(cmpI); %ע<><D7A2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD><D2AA><EFBFBD>ǵ<EFBFBD><C7B5><EFBFBD><EFBFBD><EFBFBD>ֵ
mI=rI.*(normrnd(0,sigma,length(rI),1)+1);%<25><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
%% ֧·<D6A7><C2B7><EFBFBD><EFBFBD>
% ֧·<D6A7><C2B7><EFBFBD><EFBFBD>
lineI=newwordParameter.line.lineI;
lineJ=newwordParameter.line.lineJ;
lineR=newwordParameter.line.lineR;
lineX=newwordParameter.line.lineX;
lineB2=newwordParameter.line.lineB2;
lineG=1./lineR;
lineB=1./lineX;
cmpBranchI=(cmpV(lineI)-cmpV(lineJ))./(lineR+1j*lineX);%<25><><EFBFBD><EFBFBD>֧·<D6A7><C2B7><EFBFBD><EFBFBD>
rBranchI=abs(cmpBranchI);% ֧·<D6A7><C2B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
mBranchI=rBranchI.*(normrnd(0,sigma,length(rBranchI),1)+1);%֧·<D6A7><C2B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
%% ֧·<D6A7><C2B7><EFBFBD><EFBFBD>
rBranchP=real((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI));
rBranchP=rBranchP(abs(rBranchP)>1e-5);
mBranchP=rBranchP.*(normrnd(0,sigma,length(rBranchP),1)+1);%֧·<D6A7><C2B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
rBranchQ=imag((cmpV(lineI)-cmpV(lineJ)).*conj(cmpBranchI));
rBranchQ=rBranchQ(abs(rBranchQ)>1e-5);
mBranchQ=rBranchQ.*(normrnd(0,sigma,length(rBranchQ),1)+1);%֧·<D6A7><C2B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
%% ע<>빦<EFBFBD><EBB9A6>
rPD=PD;
PDi=find(PD~=0);
rQD=QD;
QDi=find(QD~=0);
rPG=PG;
PGi=find(PG~=0);
rQG=QG;
QGi=find(QG~=0);
mPD=rPD.*(normrnd(0,sigma,length(rPD),1)+1);
mQD=rQD.*(normrnd(0,sigma,length(rQD),1)+1);
mPG=rPG.*(normrnd(0,sigma,length(rPG),1)+1);
mQG=rQG.*(normrnd(0,sigma,length(rQG),1)+1);
%% 0ע<30><D7A2><EFBFBD>ڵ<EFBFBD>
zerosInjectionIndex=1:length(Volt);
zerosInjectionIndex=zerosInjectionIndex( ~(PD~=0|QD~=0|PG~=0|QG~=0) );
%% <20><>ѹ<EFBFBD><D1B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
rTransP=TransPower( newwordParameter,cmpY,rVolt,rVAngel );
rTransQ=TransReactivePower( newwordParameter,cmpY,rVolt,rVAngel );
mTransP=rTransP.*(normrnd(0,sigma,length(rTransP),1)+1);
mTransQ=rTransQ.*(normrnd(0,sigma,length(rTransQ),1)+1);
%% <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ע<EFBFBD>빦<EFBFBD><EBB9A6>
% <20><><EFBFBD>ҵ<EFBFBD>ֻ<EFBFBD>з<EFBFBD><D0B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ľڵ<C4BD>
PDQDi=union(PDi,QDi);
onlyPG=setdiff(PGi,PDQDi);
onlyQG=setdiff(QGi,PDQDi);
%% <20><><EFBFBD><EFBFBD><EFBFBD>ȼ<EFBFBD><C8BC><EFBFBD>
stateVarCount=2*length(Volt);
measurements=length(mVolt)+length(mBranchI)+length(mBranchP)+length(mBranchQ)+length(mPG)+length(mQG)+length(mTransP)+length(mTransQ);
fprintf('<27><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> %f\n',measurements/stateVarCount);
%% Opti ToolBox
Busnum=length(Volt);
%% save
% save('mVolt','mVolt');
% save('mPG','mPG');
% save('mQG','mQG');
% save('mBranchI','mBranchI');
% save('mBranchP','mBranchP');
% save('mBranchQ','mBranchQ');
% save('mTransP','mTransP');
% save('mTransQ','mTransQ');
%% load
% load('mVolt');
% load('mPG');
% load('mQG');
% load('mBranchI');
% load('mBranchP');
% load('mBranchQ');
% load('mTransP');
% load('mTransQ');
%% <20>Լ<EFBFBD>д<EFBFBD><D0B4>΢<EFBFBD>ִ<EFBFBD><D6B4><EFBFBD>
% <20><><EFBFBD>¶<EFBFBD><C2B6><EFBFBD>Jacobi<62><69><EFBFBD><EFBFBD>
SEVolt=sparse(ones(length(mVolt),1));
SEVAngel=sparse(zeros(length(mVolt),1));

dV_dV=sparse(1:length(mVolt),1:length(mVolt),1,length(mVolt),length(mVolt));%<25><>ѹ<EFBFBD><D1B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>΢<EFBFBD><CEA2>
dV_dTyta=sparse(length(mVolt),length(mVolt));
dLPij_dVi=sparse(1:length(lineI),lineJ, ...
    -SEVolt(lineJ).*( ...
    lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))...
    )... 
    +2*(lineG).*SEVolt(lineI) ...
    ,length(lineI),length(mVolt));%<25><>·<EFBFBD><C2B7>
dLPij_dVj=sparse(1:length(lineI),lineJ, ...
    -SEVolt(lineI).*( ...
    lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) +lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))...
    ) ...
    ,length(lineI),length(mVolt));%<25><>·<EFBFBD><C2B7>
% <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><C2B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>翹Ϊ0<CEAA><30><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>NaN
zerosRXInd=union(find(abs(lineR)<1e-5),find(abs(lineX)<1e-5));
dLPij_dVi=dLPij_dVi(setdiff( 1:size(dLPij_dVi,1),zerosRXInd),:);
dLPij_dVj=dLPij_dVj(setdiff( 1:size(dLPij_dVj,1),zerosRXInd),:);
dLQij_dVi=sparse(1:length(lineI),lineJ, ...
    -SEVolt(lineJ).*( ...
    lineG.*cos(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*sin(SEVAngel(lineI)-SEVAngel(lineJ))...
    )... 
    -2*(lineB+lineB2).*SEVolt(lineI) ...
    ,length(lineI),length(mVolt));%<25><>·<EFBFBD><C2B7>
dLQij_dVj=sparse(1:length(lineI),lineJ, ...
    -SEVolt(lineI).*( ...
    lineG.*sin(SEVAngel(lineI)-SEVAngel(lineJ)) -lineX.*cos(SEVAngel(lineI)-SEVAngel(lineJ))...
    ) ...
    ,length(lineI),length(mVolt));%<25><>·<EFBFBD><C2B7>
dLQij_dVi=dLQij_dVi(setdiff( 1:size(dLQij_dVi,1),zerosRXInd),:);
dLQij_dVj=dLQij_dVj(setdiff( 1:size(dLQij_dVj,1),zerosRXInd),:);
%% <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
H=[dV_dV ;dV_dTyta]';
h=SEVolt;
z=mVolt;
W=sparse(1:length(mVolt),1:length(mVolt),1/sigma.^2,length(mVolt),length(mVolt));
G=H'*W*H;
g=-H'*W*(z-h);
% ƽ<><C6BD><EFBFBD>ڵ<EFBFBD><DAB5><EFBFBD><EFBFBD>Ǻ㶨;
G(length(mVolt)+Balance,:)=0;
G(:,length(mVolt)+Balance)=0;
G=G+sparse(length(mVolt)+Balance,length(mVolt)+Balance,1,length(mVolt)*2,length(mVolt)*2);
g(length(mVolt)+Balance)=0;
dX=-g\G;
% <20><><EFBFBD>±<EFBFBD><C2B1><EFBFBD>
SEVolt=SEVolt+
%% <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
fprintf('Ŀ<>꺯<EFBFBD><EABAAF>Ϊ:%f\n',fval);
fprintf('<27><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\n');
(abs(rVolt-double(SEVolt)))./(rVolt)
MaxDeviation(rVolt,SEVolt,rVAngel,SEVAngel)
plotAndComparison( rVolt,rVAngel,SEVolt,SEVAngel )
seOpti.fun(x);