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 $P_{max} \sin \delta$, where $\delta$ is the load angle and the mechanical power input is $0.5 P_{max}$. A fault occurs on line 2 such that the power output of the generator is less than $0.5 P_{max}$ during the fault. After the fault is cleared by opening line 2, the power output of the generator is $\left\{\frac{P_{max}}{\sqrt{2}} \right\} \sin \delta$. If the critical fault clearing angle is $\frac{\pi}{2}$ radians, the accelerating area on the power angle curve is ______ times $P_{max}$ (rounded off to 2 decimal places).
![GATE EE 2024 Power System Analysis - Power System Stability Question 1 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lxom4zjr/27e9df42-6820-4ee5-8dd4-80a615fbdad7/24961070-2fc2-11ef-9032-99cc6a311420/file-jaoe38c1lxom4zjs.png?format=png)
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).
A 20 MVA, 11.2 kV, 4-pole, 50 Hz alternator has an inertia constant of 15 MJ/MVA. If the input and output powers of the alternator are 15 MW and 10 MW, respectively, the angular acceleration in mechanical degree/s2 is _________. (round off to nearest integer).
![GATE EE 2017 Set 1 Power System Analysis - Power System Stability Question 12 English](https://imagex.cdn.examgoal.net/KM1P88qbYX0ONbqzz/0rq3GgWDwABadb6jKOF2Wy4hUP24U/0wdC7xS01p0tHQzHvZx37D/uploadfile.jpg)