GATE EE 2024 Set 1 — Question 56
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Power Systems → Power System Stability → Critical Clearing Angle & Time
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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 , 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).
Correct answer
0.1 to 0.12
Solution
Given:
Pre-fault:
Post-fault:
Initial angle : rad.
Critical clearing angle rad.
Maximum swing angle : rad.
By Equal Area Criterion, Accelerating Area = Decelerating Area .
.
Accelerating area .
Pre-fault:
Post-fault:
Initial angle : rad.
Critical clearing angle rad.
Maximum swing angle : rad.
By Equal Area Criterion, Accelerating Area = Decelerating Area .
.
Accelerating area .
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