Question $3$

Consider the simple power system shown below. The power flow solution can be solved without resorting to numerical methods.

Base $\backslash ($ S $\backslash )$ is $100$ MVA, base voltage is $15$ kV at bus $2,$ and $345$ kV at buses $1,3,4.$

Determine the DC power flow solution $($get the angles$)$ for the four$-$bus system. $($Neglect the reactive powers with active power only in DC power flow analysis$)[20$ marks$]$