GATE EE 2017 Set 2 — Question 54
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Power Systems → Power System Stability → Swing Equation & Power-Angle
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Question
A 3-phase, 2-pole, 50 Hz, synchronous generator has a rating of 250 MVA, 0.8 pf lagging. The kinetic energy of the machine at synchronous speed is 1000 MJ. The machine is running steadily at synchronous speed and delivering 60 MW power at a power angle of 10 electrical degrees. If the load is suddenly removed, assuming the acceleration is constant for 10 cycles, the value of the power angle after 5 cycles is _______ electrical degrees.
Correct answer
12.5 to 12.9
Solution
Given:
(initially)
Inertia constant .
When load is removed, , so accelerating power .Swing equation:
where .Acceleration .Time for 5 cycles .Power angle after time :
.
(initially)
Inertia constant .
When load is removed, , so accelerating power .Swing equation:
where .Acceleration .Time for 5 cycles .Power angle after time :
.
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