Question $3$:

$[15$ marks$]$

$($a$)$ Consider the $3-$bus power system shown in Figure Q$3($a$).$ Line impedances are shown on the one$-$line diagram in per unit.

Determine the bus admittance matrix $Y_{\text{b}\text{u}\text{s}}$ for the system.

$[5$ marks$]$

Page $|5$

Figure Q$3($a$)$ Single line diagram of a $3-$bus power system