Problem $4(10$ pts$)$:

The figure below shows the single line diagram of a $2-$bus system. The technical parameters of the system are as follows:

S $S_{DI}=15+j5p.u$

$S_{D2}=25+j15p.u$

$|V_1|=|V_2|=1$ p$.$u$.$

$\frac{1}{2}=\frac{1}{{?}_0^2}$ P$..$

${}^p$ angles

The total load of the system is equally shared between G$1$ and G$2$

$($b$)$ Determine the active power flows at each end of the transmission line and the active power $P_S=$

$($c$)$ Determine the reactive power flows at each end of the transmission line and the reactive power produced by each generator $($Place the values on the figure below$)$