FIGURE $6\mathrm{.}20$

One$-$line diagram for Problem $6\mathrm{.}7.$

$6\mathrm{.}7.$ Figure $6\mathrm{.}20$ shows the one$-$line diagram of a simple three$-$bus power system

with generation at bus $1.$ The voltage at bus $1$ is V$\_(1)=1\mathrm{.}0/\_0^($@$)$ per unit.

The scheduled loads on buses $2$ and $3$ are marked on the diagram. Line

impedances are marked in per unit on a $100-$MVA base. For the purpose

of hand calculations, line resistances and line charging susceptances are ne$-$

glected.

a$)$ Find the bus admittance matrix of the system.

b$)$ Find the voltage $($magnitude and phase$)$ of bus $2$ and $3$ using Gauss$-$Seidel method: $1)$ by hand $($at least $2$ iterations$),$ and, $2)$ by

MATLAB $(10$ iterations$).$

Solve it by paper not typing please also i found the matrix check if it right $,$ row $1[-110$j $30$j $80$j$]$ row $2[30$j $-50$j $20$j$]$ row $3[80$j $20$j $-100$j$]$