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A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero sequence reactance’s of 0.25 pu, 0.15 pu, and 0.05 pu, respectively. The neutral of the generator is grounded with a reactance so that the fault current for a bolted LG fault and that of a bolted three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimal 
    Correct answer is between '1.7,1.9'. Can you explain this answer?
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    A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero ...
    Of X1 = 0.15 pu, X2 = 0.25 pu, and X0 = 0.05 pu, respectively. Calculate the short-circuit current at the generator terminals for a three-phase fault at the generator terminals.

    Solution:

    The short-circuit current can be calculated using the symmetrical component method as follows:

    1) Positive sequence current:

    I1 = 1/3 * MVA / kV / √3 = 50e6 / 30e3 / √3 = 962.25 A

    2) Negative sequence current:

    I2 = K * I1 = 0.25 * 962.25 = 240.56 A

    3) Zero sequence current:

    I0 = K * I1 = 0.05 * 962.25 = 48.11 A

    where K = X2 / X1 = 0.25 / 0.15 = 1.67

    The total short-circuit current is the vector sum of the three components:

    Isc = √(I1^2 + I2^2 + I0^2) = √(962.25^2 + 240.56^2 + 48.11^2) = 996.35 A

    Therefore, the short-circuit current at the generator terminals for a three-phase fault is 996.35 A.
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    Community Answer
    A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero ...
    Given that,
    X1 = 0.25 pu
    X2 = 0.15 pu
    X0 = 0.05 pu
    Fault current for LG fault


    Fault current for three phase fault,

    Given that both the fault currents are equal.

    ⇒ Xn = 0.1 pu
    Base kV = 30 kV
    Base MVA = 50 MVA
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    A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero sequence reactance’s of 0.25 pu, 0.15 pu, and 0.05 pu, respectively. The neutral of the generator is grounded with a reactance so that the fault current for a bolted LG fault and that of a bolted three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimalCorrect answer is between '1.7,1.9'. Can you explain this answer?
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    A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero sequence reactance’s of 0.25 pu, 0.15 pu, and 0.05 pu, respectively. The neutral of the generator is grounded with a reactance so that the fault current for a bolted LG fault and that of a bolted three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimalCorrect answer is between '1.7,1.9'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero sequence reactance’s of 0.25 pu, 0.15 pu, and 0.05 pu, respectively. The neutral of the generator is grounded with a reactance so that the fault current for a bolted LG fault and that of a bolted three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimalCorrect answer is between '1.7,1.9'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 30 kV, 50 Hz, 50 MVA generator has the positive, negative, and zero sequence reactance’s of 0.25 pu, 0.15 pu, and 0.05 pu, respectively. The neutral of the generator is grounded with a reactance so that the fault current for a bolted LG fault and that of a bolted three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimalCorrect answer is between '1.7,1.9'. Can you explain this answer?.
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