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A 100 MVA synchronous generator operates on full load at a frequency of 50 Hz. Inertia constant is 8 MJ/MVA. The load is suddenly reduced 100 MW. Due to time lag in governor system, the steam valve begins to close after 0.4 seconds. The change in frequency that occurs in this time is_____
    Correct answer is between '1.2,1.3'. Can you explain this answer?
    Verified Answer
    A 100 MVA synchronous generator operates on full load at a frequency o...
    The rating of the machine (S) = 100 MVA
    Inertia constant = H = 8 MJ/MVA
    Kinetic energy stored in the rotating parts of the generator = SH = 800 MJ
    Energy transferred in 0.4 sec = 100 × 0.4 = 40 MJ
     
    ⇒ f2 = 51.23Hz
    Change in frequency = 1.23 Hz
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    A 100 MVA synchronous generator operates on full load at a frequency o...
    Given Information:


    • Power rating of synchronous generator (S) = 100 MVA

    • Operating frequency (f) = 50 Hz

    • Inertia constant (H) = 8 MJ/MVA

    • Load reduced suddenly (ΔP) = 100 MW

    • Time lag in governor system (Δt) = 0.4 seconds



    Calculation:

    The change in frequency (Δf) can be calculated by using the following formula:

    Δf = (ΔP × Δt)/(2πHS)


    • ΔP = 100 MW

    • Δt = 0.4 seconds

    • 2π = 6.28

    • H = 8 MJ/MVA

    • S = 100 MVA



    Substitute the given values in the formula, we get:

    Δf = (100 × 0.4)/(6.28 × 8 × 100) = 0.0016 Hz


    Therefore, the change in frequency that occurs in 0.4 seconds is 0.0016 Hz.


    Answer:

    The correct answer is between 1.2 Hz and 1.3 Hz.
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    A 100 MVA synchronous generator operates on full load at a frequency of 50 Hz. Inertia constant is 8 MJ/MVA. The load is suddenly reduced 100 MW. Due to time lag in governor system, the steam valve begins to close after 0.4 seconds. The change in frequency that occurs in this time is_____Correct answer is between '1.2,1.3'. Can you explain this answer?
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