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Question

Statement:
A generator feeds power to an infinite bus through a double circuit transmission line. A 3-phase fault occurs at the middle point of one of the lines. The infinite bus voltage is 1 pu, the transient internal voltage of the generator is 1.1 pu and the equivalent transfer admittance during fault is 0.8 pu. The 100 MVA generator has an inertia constant of 5MJ/MVA and it was delivering 1.0 pu power prior of the fault with rotor power angle of 30. The system frequency is 50 Hz.

If the initial accelerating power is X pu, the initial acceleration in elect deg/sec2, and the inertia constant in MJ-sec/elect deg respectively will be

A
31.4 X, 18
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B
1800 X, 0.056
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C
X/1800, 0.056
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D
X/31.4, 18
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Solution

The correct option is B 1800 X, 0.056
Inertia constant (in MJ-s/elec deg)
=M=GH180f

where,
G= Machine rating =100 MVA
H= Inertia constant in MJ/MVA =5 MJ/MVA

M=GH180f=5×100180×50

=0.056 MJ-s/elec deg

M(inp.u.)=H180f=5180×50

α=Acceleration in elect deg/sec2

Mα=Pa

Pa= Accelerating power =X

αPaM=X(5/180×50)

=1800Xelecdeg/sec2

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