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

with \(\mathrm{V}_{1}=1.0 \angle 0^{\circ}\) 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 the GaussSeidel iteration method. Start with \(\delta_{2}=0, \mathrm{~V}_{3}=1.0\) per unit, and \(\delta_{3}=0\).

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7 Ybus - -2 -5 -2 6 -4 -5 -4 per unit 9