function deltG=func_deltG(busNum,Loadi)
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=[
    dgPD_dPD,dgQD_dPD,dgV_dPD;
    dgPD_dQD,dgQD_dQD,dgV_dQD;
    dgPD_dx,dgQD_dx,dgV_dx;
];
end