Repeat Problem 6.37 except use an initial voltage guess of \(0.25 / 0^{\circ}\).

Data From Problem 6.37:-

The bus admittance matrix of a three-bus power system is given by

\[
Y_{\text {bus }}=-j\left[\begin{array}{rrr}
7 & -2 & -5 \\
-2 & 6 & -4 \\
-5 & -4 & 9
\end{array}\right] \text { per unit }
\]

with \(V_{1}=1.0 / 0^{\circ}\) per unit; \(\mathrm{V}_{2}=1.0\) per unit; \(\mathrm{P}_{2}=60 \mathrm{MW} ; \mathrm{P}_{3}=-80 \mathrm{MW} ; \mathrm{Q}_{3}=-60\) MVAR (lagging) as a part of the power-flow solution of the system, find \(V_{2}\) and \(V_{3}\) within a tolerance of 0.01 per unit, by using Gauss-Seidel iteration method. Start with \(\delta_{2}=0, \mathrm{~V}_{3}=1.0\) per unit, and \(\delta_{3}=0\).