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 $V_1 = 1.025\angle0^\circ$. Voltage magnitude at bus 3 is fixed at 1.03 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.
$V_1 = 1.025\angle0^\circ$
$P_3 = 300 \text{ MW}$
$|V_3| = 1.03$
400 MW 200 Mvar
Figure: C
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.