Home » Power Systems » Power systems miscellaneous » Question
  1. 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 ________.
    1. 0.20 Hz.
    2. 50 Hz.
    3. 0.50 Hz.
    4. 5.020 Hz.
Correct Option: B


Given, P1 + P2 = 2.5 MW
style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">

51.5 - ƒ
=
51 - ƒ
= 1P1P2
Now P1 + P2 = 2.5
⇒ 51.5 – ƒ + 51 – ƒ = 2.5
⇒ ƒ = 50 Hz.



Your comments will be displayed only after manual approval.