GATE EE 2015 Set 1 — Question 53
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Power Electronics → Inverters → Sinusoidal PWM
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Question
A generating unit has -constant of . The machine is initially operating in steady state at synchronous speed, and producing of real power. The initial value of the rotor angle is , when a bolted three phase to ground short circuit fault occurs at the terminal of the generator. Assuming the input mechanical power to remain at , the value of in degrees, second after the fault is ________.
Correct answer
5.7 to 6.1
Solution
Step 1: Write the swing equationWith in electrical radians and all quantities in per unit,Step 2: Electrical power during the faultA bolted three-phase-to-ground fault at the generator terminals makes the terminal voltage zero, so no power can be delivered:Step 3: Angular accelerationThis is constant, so the angle grows as a parabola.Step 4: Integrate twiceThe machine starts at synchronous speed, so andAt :Step 5: Rotor angle after 0.02 sAnswer:
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