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Question

A generator operating at 50 Hz delivering 50 % of maximum power to an infinite bus through a transmission line. Suddenly, a short circuit occurs, and power is reduced to zero. The critical clearing angle is ________degree (Give answer upto 3 decimals).
  1. 79.562

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Solution

The correct option is A 79.562


Pm=Pmaxsin δ0
sin δ0=0.5

δ0=30 or π6 rad

and δmax=πδ0=ππ6=5π6 rad or 150

cos δcr=PmPmax(δmaxδ0)+cosδmax=0.51(5π6π6)+cos(150)

The critial clearning angle,

δcr=cos1(0.18117)=79.562

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