function deltF=func_deltF(PG,QG,PVi,PGi,wPG,wQG,wPD,PG0,QG0,PD0,PD,Busnum,Loadi)
t1=2*wPG.*(PG(PGi) - PG0(PGi) );
t2=2*wQG.*(QG(PVi) - QG0(PVi) );
t3=2*wPD.*(PD(Loadi)-PD0(Loadi));
deltF=[
sparse(t1);
sparse(t2);
sparse(t3);
sparse(length(Loadi),1);
sparse(2*Busnum,1);
];
end