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Question

A 6.6 kV, 3-phase, 10 MVA alternator has positive, negative and zero sequence reactances as j0.05 p.u. j0.0375 p.u. and j0.045 p.u. respectively. A double line to ground faults occurs, then the magnitude of positive sequence voltage is

A
0.29 p.u
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B
6.45 p.u.
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C
14.19 p.u.
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D
can not determined
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Solution

The correct option is A 0.29 p.u

Ia1=EZ1+Z2Z0Z2+Z0

=1j0.05+j0.0375×j0.045j0.0375+j0.045

Ia1=(Ia2+Ia0))

=j14.19p.u.

Ia0=Ia1j0.0375j0.0375+j0.045

=j6.45p.u.

Va1=Va2=Va0=j0.045×j6.45

=0.29p.u.

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