GATE EE 2020 Set 1 — Question 33
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Power Systems → Economic Operation & Compensation → Load Frequency Control
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Question
A single 50 Hz synchronous generator on droop control was delivering 100 MW power to a system. Due to increase in load, generator power had to be increased by 10 MW, as a result of which, system frequency dropped to 49.75 Hz. Further increase in load in the system resulted in a frequency of 49.25 Hz. At this condition, the power in MW supplied by the generator is ________ (rounded off to 2 decimal places).
Correct answer
123 to 135
Solution
The droop characteristic is given by , where is the droop in Hz/MW.
From the first change:
Initial state: MW, Hz (assuming this is the reference or no-load frequency for the initial setting).
Second state: MW, Hz.
Droop Hz/MW.
For the third state where Hz:
MW.
From the first change:
Initial state: MW, Hz (assuming this is the reference or no-load frequency for the initial setting).
Second state: MW, Hz.
Droop Hz/MW.
For the third state where Hz:
MW.
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