For the three-bus system whose (boldsymbol{Y}_{text {bus }}) is given, calculate the second iteration value of (mathrm{V}_{3})

Question:

For the three-bus system whose $\boldsymbol{Y}_{\text {bus }}$ is given, calculate the second iteration value of $\mathrm{V}_{3}$ using the Gauss-Seidel method. Assume bus 1 as the slack (with $V_{1}=1.0 / 0^{\circ}$ ), and buses 2 and 3 are load buses with a per-unit load of $S_{2}=1+j 0.5 $ and $S_{3}=1.5+j 0.75 $. Use voltage guesses of $1.0 \angle 0^{\circ}$ at both buses 2 and 3 . The bus admittance matrix for a three-bus system is

image text in transcribed