GATE Electrical Engineering (EE) 2012 Solved Paper

The figure shows a two – generator system applying a load of P_D = 40 MW, connected at bus 2.

The fuel cost of generators G₁ and G₂ are :
C₁(P_G1) = 10000 Rs/MWh and C₂(P_G2) = 12500 Rs/MWh and the loss in the line is
 ${\mathit{P}}_{\mathit{l}\mathit{o}\mathit{s}\mathit{s}\left(\mathit{P}\mathit{u}\right)}=0.5{\mathit{P}}_{\mathit{G}1\left(\mathit{P}\mathit{u}\right)}^2$, Where the loss coefficient is specified in pu on a 100 MVA base. The most economic power generation schedule in MW is