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Q#1 Power System Stability GATE EE 2024 NAT +2 marks -0 marks

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 , where  is the load angle and the mechanical power input is . A fault occurs on line 2 such that the power output of the generator is less than  during the fault. After the fault is cleared by opening line 2 , the power output of the generator is . If the critical fault clearing angle is  radians, the accelerating area on the power angle curve is ________times  (rounded off to 2 decimal places).

Explanation:

Assume maximum power transferrable before the fault

Before fault the system is operating under steady state so

After fault clearance,

 

Accelerating area = Decelerating area (by equal area criterion)

Decelerating Area 

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