List of top Power Systems Questions on Types of losses and efficiency calculations of electric machines asked in GATE EE

Two generating units rated for 250 MW and 400 MW have governor speed regulations of 6% and 6.4%, respectively, from no load to full load. Both the generating units are operating in parallel to share a load of 500 MW. Assuming free governor action, the load shared in MW, by the 250 MW generating unit is _________. (round off to nearest integer)

The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given by \[ \text{Plant 1: } C_1 = 350 + 6P_1 + 0.004P_1^2 \] \[ \text{Plant 2: } C_2 = 450 + aP_2 + 0.003P_2^2 \] where \( P_1 \) and \( P_2 \) are the power generated by plant 1 and plant 2, respectively, in MW and \( a \) is constant. The incremental cost of power (\( \lambda \)) is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are

Two balanced three-phase loads, as shown in the figure, are connected to a 100$\sqrt{3}$ V three-phase, 50 Hz main supply. Given \( Z_1 = (18 + j24) \, \Omega \) and \( Z_2 = (6 + j8) \, \Omega \), the ammeter reading, in amperes, is ________. (round off to nearest integer)