(Solved): 1. The below given Figure shows the one-line diagram of a simple three-bus po ...

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1. The below given Figure shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 2. The voltage at bus 1 is \( \mathrm{V}_{1}=1.0 \angle 0^{\circ} \) per unit. Voltage magnitude at bus 2 is fixed at \( 1.05 \mathrm{pu} \) with a real power generation of \( 450 \mathrm{MW} \). A load consisting of \( 500 \mathrm{MW} \) and \( 400 \mathrm{MVAr} \) is taken from bus 3. Line admitances are marked in per unit on a 100 MVA base. For the purpose of hand calculations, line resistances and line charging susceptances are neglected. Using Gauss-Seidel method and initial estimates of \( V_{2}^{(0)}=1.05+0 \mathrm{j} \) pu and \( V_{3}^{(0)}=1.0+0 \mathrm{j} \) and keepin \( \left|\mathrm{V}_{2}\right|=1.05 \) pu, determine the phasor values of \( \mathrm{V}_{2} \) and \( \mathrm{V}_{3} \). Perform two iterations.