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There are two generators in a power system. N o-l oad fr equenci es of t he gener at or s ar e 51.5 Hz and 51 Hz, respectively, and both are having droop constant of 1 Hz/MW. Total load in the system is 2.5 M W. Assuming that the generators are operating under their respective droop characteristics, the frequency of the power system in Hz in the steady state is ________.
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- 0.20 Hz.
- 50 Hz.
- 0.50 Hz.
- 5.020 Hz.
- 0.20 Hz.
Correct Option: B
Given, P1 + P2 = 2.5 MW
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Now P1 + P2 = 2.5
⇒ 51.5 – ƒ + 51 – ƒ = 2.5
⇒ ƒ = 50 Hz.