The figure shows a two-generator system supplying a load of $P_D = 40$ MW, connected at bus $2$.
The fuel cost of generations $G_1$ and $G_2$ are:
$C_1(P_{G1})=10,000$ Rs/MWh and $C_2(P_{G2})=12,500$ Rs/MWh and the loss in the line is $P_{\text{loss(pu)}}=0.5 \: P_{G1(pu)}^2$, where the loss coefficient is specified in $pu$ on a $100$ MVA base. The most economic power generation schedule in MW is
- $P_{G1}=20$, $P_{G2}=22$
- $P_{G1}=22$, $P_{G2}=20$
- $P_{G1}=20$, $P_{G2}=20$
- $P_{G1}=0$, $P_{G2}=42$
