GATE 2020 EE – Question 33
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).
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Correct answer: 123.00 to 135.00
Explanation
The droop is $\frac{0.25\text{ Hz}}{10\text{ MW}}=0.025$ Hz/MW, i.e. a 10 MW rise per 0.25 Hz drop. The frequency is now $0.75$ Hz below nominal, so the output is $100+\frac{0.75}{0.025}=130$ MW.