A 3-Bus network is shown. Consider generators as ideal voltage sources. If rows 1, 2 and 3 of the \(Y_{\text{Bus}}\) matrix correspond to Bus 1, 2 and 3 respectively, then \(Y_{\text{Bus}}\) of the network is
In the figure shown, self-impedances of the two transmission lines are 1.5j p.u each, and $Z_m = 0.5j$ p.u is the mutual impedance. Bus voltages shown in the figure are in p.u. Given that $\delta > 0$, the maximum steady-state real power that can be transferred in p.u from Bus-1 to Bus-2 is
Two generators have cost functions with incremental-cost characteristics: \[ \frac{dF_1}{dP_1} = 40 + 0.2 P_1, \frac{dF_2}{dP_2} = 32 + 0.4 P_2 \] They must supply a total load of 260 MW. Find the optimal generation (economic dispatch) ignoring losses.