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There are two generators in a power system. No-load frequencies of the generators are 51.5 Hz and 51Hz, respectively, and both are having droop constant of 1 Hz/MW. Total load in the system is 2.5 MW. Assuming that the generators are operating under their respective droop characteristics, the frequency of the power system in Hz in the steady state is __________.
    Correct answer is '50'. Can you explain this answer?
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    There are two generators in a power system. No-load frequencies of the...
    Given, two generators in a power system has no load frequency of 51.5 & 51 Hz.
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    There are two generators in a power system. No-load frequencies of the...
    Given Information:


    • Two generators in a power system

    • No-load frequency of generator 1 = 51.5 Hz

    • No-load frequency of generator 2 = 51 Hz

    • Droop constant of both generators = 1 Hz/MW

    • Total load in the system = 2.5 MW



    Solution:


    • Let's assume that the load is shared equally by both generators i.e. 1.25 MW each.

    • Let's calculate the frequency of each generator under this load:

      Frequency of generator 1 = No-load frequency - (Droop constant * Load sharing)

      = 51.5 - (1 * 1.25) = 50.25 Hz

      Frequency of generator 2 = 51 - (1 * 1.25) = 49.75 Hz

    • As we can see, the frequencies of both generators are different.

    • Now, the power system frequency is given by the average of the frequencies of both generators under their respective load sharing:

      Power system frequency = (50.25 + 49.75) / 2 = 50 Hz

    • Hence, the frequency of the power system in the steady state is 50 Hz.



    Final Answer:

    The frequency of the power system in Hz in the steady state is 50.
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    There are two generators in a power system. No-load frequencies of the generators are 51.5 Hz and 51Hz, respectively, and both are having droop constant of 1 Hz/MW. Total load in the system is 2.5 MW. Assuming that the generators are operating under their respective droop characteristics, the frequency of the power system in Hz in the steady state is __________.Correct answer is '50'. Can you explain this answer?
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