pes2014-wronglowervoltagebound/func_deltG.m

function deltG=func_deltG(Busnum,PVi,PGi,Loadi,PD,QD,Vbi)
sizeLoadi=size(Loadi,1);
%dg3 PD-M*b-t-PD0
dg3_dPD=sparse(1:size(Loadi,1),1:size(Loadi,1),ones(size(Loadi,1),1),size(Loadi,1),size(Loadi,1));
%dg32 PD+M*B+t+PD0
dg32_dPD=dg3_dPD;
dg4_dPD=sparse(size(Loadi,1),length(Loadi));
dg42_dPD=dg4_dPD;
dg5_dPD=sparse(size(Loadi,1),Busnum);
dg6_dPD=dg5_dPD;
dg7_dPD=sparse(sizeLoadi,Busnum);
dgPDbi_dPD=sparse(sizeLoadi,sizeLoadi);
dgQDbi_dPD=sparse(sizeLoadi,sizeLoadi);
%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>
dgCCVbi_dPD=sparse(length(Loadi),Busnum);
%% 
dg3_dQD=sparse(length(Loadi),length(Loadi));
dg32_dQD=dg3_dQD;
dg4_dQD=sparse(1:size(Loadi,1),1:size(Loadi,1),ones(size(Loadi,1),1),size(Loadi,1),size(Loadi,1));
dg42_dQD=dg4_dQD;
dg5_dQD=sparse(size(Loadi,1),Busnum);
dg6_dQD=dg5_dQD;
dg7_dQD=sparse(sizeLoadi,Busnum);
dgPDbi_dQD=sparse(sizeLoadi,sizeLoadi);
dgQDbi_dQD=sparse(sizeLoadi,sizeLoadi);
%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>
dgCCVbi_dQD=sparse(length(Loadi),Busnum);
%% 
dg3_dx=sparse(2*Busnum,sizeLoadi);
dg32_dx=dg3_dx;
dg4_dx=sparse(2*Busnum,length(Loadi));
dg42_dx=dg4_dx;
dg5_dx=[sparse(1:Busnum,1:Busnum,ones(Busnum,1),Busnum,Busnum);
    sparse(Busnum,Busnum);
    ];
dg6_dx=dg5_dx;
dg7_dx=sparse(2*Busnum,Busnum);
dgPDbi_dx=sparse(2*Busnum,sizeLoadi);
dgQDbi_dx=sparse(2*Busnum,sizeLoadi);
%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>
dgCCVbi_dx=sparse(Busnum*2,Busnum);
%%
dg3_dvbi=sparse(Busnum,sizeLoadi);
dg32_dvbi=dg3_dvbi;
dg4_dvbi=sparse(Busnum,length(Loadi));
dg42_dvbi=dg4_dvbi;
dg5_dvbi=sparse(-eye(Busnum,Busnum));
dg6_dvbi=sparse(eye(Busnum,Busnum));
dg7_dvbi=sparse(eye(Busnum,Busnum));
dgPDbi_dvbi=sparse(Busnum,sizeLoadi);
dgQDbi_dvbi=sparse(Busnum,sizeLoadi);
%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>
dgCCVbi_dvbi=sparse(diag(1-2*Vbi));%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>Ϊ(1-Vbi).*Vbi
%%
dg3_dPDbi=sparse(-eye(sizeLoadi));
dg32_dPDbi=sparse(eye(sizeLoadi));
dg4_dPDbi=sparse(length(Loadi),length(Loadi));
dg42_dPDbi=dg4_dPDbi;
dg5_dPDbi=sparse(length(Loadi),Busnum);
dg6_dPDbi=sparse(length(Loadi),Busnum);
dg7_dPDbi=sparse(length(Loadi),Busnum);
dgPDbi_dPDbi=sparse(eye(length(Loadi)));
dgQDbi_dPDbi=sparse(zeros(length(Loadi)));
%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>
dgCCVbi_dPDbi=sparse(length(Loadi),Busnum);
%%
dg3_dQDbi=sparse(-eye(sizeLoadi));
dg32_dQDbi=sparse(eye(sizeLoadi));
dg4_dQDbi=sparse(length(Loadi),length(Loadi));
dg42_dQDbi=dg4_dPDbi;
dg5_dQDbi=sparse(length(Loadi),Busnum);
dg6_dQDbi=sparse(length(Loadi),Busnum);
dg7_dQDbi=sparse(length(Loadi),Busnum);
dgPDbi_dQDbi=sparse(zeros(length(Loadi)));
dgQDbi_dQDbi=sparse(eye(length(Loadi)));
%<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>
dgCCVbi_dQDbi=sparse(length(Loadi),Busnum);
%%
deltG=[dg3_dPD,dg32_dPD,dg4_dPD,dg42_dPD,dg5_dPD,dg6_dPD,dg7_dPD,dgPDbi_dPD,dgQDbi_dPD,dgCCVbi_dPD;
       dg3_dQD,dg32_dQD,dg4_dQD,dg42_dQD,dg5_dQD,dg6_dQD,dg7_dQD,dgPDbi_dQD,dgQDbi_dQD,dgCCVbi_dQD;
       dg3_dx,dg32_dx,dg4_dx,dg42_dx,dg5_dx,dg6_dx,dg7_dx,dgPDbi_dx,dgQDbi_dx,dgCCVbi_dx;
       dg3_dvbi,dg32_dvbi,dg4_dvbi,dg42_dvbi,dg5_dvbi,dg6_dvbi,dg7_dvbi,dgPDbi_dvbi,dgQDbi_dvbi,dgCCVbi_dvbi;
       dg3_dPDbi,dg32_dPDbi,dg4_dPDbi,dg42_dPDbi,dg5_dPDbi,dg6_dPDbi,dg7_dPDbi,dgPDbi_dPDbi,dgQDbi_dPDbi,dgCCVbi_dPDbi;
       dg3_dQDbi,dg32_dQDbi,dg4_dQDbi,dg42_dQDbi,dg5_dQDbi,dg6_dQDbi,dg7_dQDbi,dgPDbi_dQDbi,dgQDbi_dQDbi,dgCCVbi_dQDbi;
];

end