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18 February, 21:30

A three-phase, Y-connected, 75MVA, 27kV synchronous generator has a synchronous reactance of 9.0/phase. Using rated MVA and voltage as the base values, determine the per-unit reactance. Then refer this per-unit value to a 100-MVA, 30kV base.

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  1. 18 February, 22:31
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    Given Information:

    ZΩ = 9 per phase

    Sbase = 75 MVA

    Sbase = 100 MVA

    kV = 27 kV

    kV = 30 kV

    Required Information:

    Zpu = ?

    Zpu_new = ?

    Answer:

    Zpu = 0.925 pu

    Zpu_new = 1 pu

    Explanation:

    Zbase = (kVbase) ²/Sbase

    Zbase = (27x10³) ²/75x10⁶

    Zbase = 9.72

    Zpu = Zactual/Zbase

    Zpu = 9/9.72

    Zpu = 0.925 pu

    Now base MVA is changed to 100 MVA and base kV is changed to 30kV so the per unit value becomes

    Zbase = (kVbase) ²/Sbase

    Zbase = (30x10³) ²/100x10⁶

    Zbase = 9

    Zpu_new = Zactual/Zbase

    Zpu_new = 9/9

    Zpu_new = 1 pu
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