Power systems miscellaneous


  1. If the fault current is 2000 A, the relay setting is 50% and CT ratio is 400: 5, then plug setting multiplier will be _________ A









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    NA

    Correct Option: A

    NA


  1. A small generating station has a busbar divided into three sections each section is connected to a tie bar with reactor each rated at 5 mVA, 0.1 p.u. reactance. A generator of 8mVA, rating and 0.15 p.u. reactance is connected to each section of the busbar. The short circuit capacit y of the breaker, if a 3 – φ fault takes place on one of the sections of the busbar, will be _________ mVA









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    Let the base MVA be 8MVA,
    Per unit reactance of the generator is 0.15 p.u., and per unit resistance of the reactor

    = 0.1 ×
    8
    = 0.16 p.u.
    5


    Equivalent impedance,
    Zeq =
    j0.15 × j0.315
    = j0.10161
    j0.465

    Short circuit capacity
    =
    Base MVA
    =
    8
    = 78.73 MVA
    j0.10161

    Correct Option: B

    Let the base MVA be 8MVA,
    Per unit reactance of the generator is 0.15 p.u., and per unit resistance of the reactor

    = 0.1 ×
    8
    = 0.16 p.u.
    5


    Equivalent impedance,
    Zeq =
    j0.15 × j0.315
    = j0.10161
    j0.465

    Short circuit capacity
    =
    Base MVA
    =
    8
    = 78.73 MVA
    j0.10161



  1. The line currents in ampere in phases a, b and c respectively are (400 + j100), (75 – j600) and (– 300 + j500) referred to the same reference vector. The negative sequence components of currents will be _______ Amp.









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    NA

    Correct Option: D

    NA


  1. When a line-to-ground fault occurs, the current in the phase is 100 A. The zero sequence current in this case will be _______ A









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    For a L – G fault,
    Ia0 = Ia1 = Ia2 and Ia = 3 Ia1

    ∴ Ia0 =
    Ia
    =
    100
    = 33.3 A 212
    33

    Ia =(400 + j 100), Ib = (75 – j 600), Ic = (– 300 + j 500)
    Ia2 = 1/3 (Ia + α² Ib + αIc)
    =
    1
    [(400 + j100) + (75 - j 600) |240° + (-300 + j 500)|120°]
    3

    =
    1
    [400 + j100 + (75 - j 600) + (-300 + j 500)(-0.5 + j0.86)]
    3

    =
    1
    [(400 + j100) + -553.5 + j235.5 - 280 - j 508]
    3

    =
    1
    [ - 415.5 - j 172.5]
    3

    = 149.96 |202.5°

    Correct Option: C

    For a L – G fault,
    Ia0 = Ia1 = Ia2 and Ia = 3 Ia1

    ∴ Ia0 =
    Ia
    =
    100
    = 33.3 A 212
    33

    Ia =(400 + j 100), Ib = (75 – j 600), Ic = (– 300 + j 500)
    Ia2 = 1/3 (Ia + α² Ib + αIc)
    =
    1
    [(400 + j100) + (75 - j 600) |240° + (-300 + j 500)|120°]
    3

    =
    1
    [400 + j100 + (75 - j 600) + (-300 + j 500)(-0.5 + j0.86)]
    3

    =
    1
    [(400 + j100) + -553.5 + j235.5 - 280 - j 508]
    3

    =
    1
    [ - 415.5 - j 172.5]
    3

    = 149.96 |202.5°



  1. In a power system with negligible resistance, the fault current at a point is 8.00 p.u. The series reactance to be included at the fault point to limit the short-circuit current to 5.00 p.u. is ______p.u.









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    NA

    Correct Option: B

    NA