Q$.[15]$ Figure $\backslash ($ C $\backslash )$ shows the one$-$line diagram of a simple three$-$bus power system with generation at buses I and $3.$ The voltage at bus $1$ is $\backslash ($ V$\_\{1\}=1\mathrm{.}025\backslash$angle $0^\{\backslash$circ$\}\backslash ).$ 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 $\backslash ($ C $\backslash ).$ What will be the matrix size of Jacobian and their sub$-$matrix $\backslash ($ J$\_\{1\},$ J$\_\{2\},$ J$\_\{3\}\backslash )$ and $\backslash ($ J$\_\{4\}\backslash )?$ Also, write the step$-$wise solution procedure of power flow using Newton$-$Raphson method for figure C$.$