Q$.[15]$ Figure C shows the one$-$line diagram of a simple three$-$bus power system with generation at buses $1$ and $3.$ The voltage at bus $1$ is V$\_(1)=1\mathrm{.}025/\_0^($@$).$ Voltage magnitude at bus $3$ is fixed at $1\mathrm{.}03$ p$.$u$.$ with a real power generation of $300$ MW $.$ A load consisting of $400$ MW and $200$ MVAR is taken from bus $2.$ Line impedances are marked in per unit on a $100$ MVA base and line charging susceptances are neglected. Obtain the power flow solution by the Gauss$-$Seidel method for the first iteration only. Determine the line flows and line losses. Construct a power flow diagram showing the direction of line flow.

Q$.[16]$ Make the Jacobian matrix for network shown in figure C$.$ What will be the matrix size of Jacobian and their sub$-$matrix J$\_(1),$J$\_(2),$J$\_(3)$ and J$\_(4)?$ Also, write the step$-$wise solution procedure of power flow using Newton$-$Raphson method for figure C$.$

PLEASE SOLVE THIS QUESTION ON A PAPER AND SOLVE EACH PART PLEASE