GATE 2024 Electrical Engineering Q56

Question

The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the generator being P_max sin δ, where δ is the load angle and the mechanical power input is 0.5P_max. A fault occurs on line 2 such that the power output of the generator is less than 0.5P_max during the fault. After the fault is cleared by opening line 2, the power output of the generator is {P_max/√2} sin δ. If the critical fault clearing angle is π/2 radians, the accelerating area on the power angle curve is ________ times P_max (rounded off to 2 decimal places).