pes2014-wronglowervoltagebound/func_deltG.asv

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function deltG=func_deltG(Busnum,PVi,GB,Volt,UAngel,indexi,indexj,PGi)
dg1_dPg=eye(size(PGi,1));
dg2_dPg=zeros(size(PGi,1));
dg3_dPg=zeros(size(PGi,1),Busnum);
dg4_dPg=zeros(size(PGi,1),Busnum);
%%
dg1_dQr=zeros(size(PVi,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';
%% Ïß·
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)';
%% ¿ªÊ¼ÐγÉdg4_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);
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;
];