Question: A ( 1 5 0 mathrm { MVA } , 1 1 mathrm { kV } , 3 ) phase, 5

\ (150 \

mathrm

{

MVA

}, 11 \

mathrm

{

}, 3 \)

phase,

50

Hz alternator is protected by a current differential protection system. Synchronous reactance of the alternator winding is

\ (40 \ % \)

per phase. The protective relay is set to operate when the out of balance current exceeds

\ (15 \ % \)

of the full load current. Neutral of the alternator is grounded with a resistance of

\ (2 \

Omega

\) .

If a ground fault occurs in

'

'

phase winding at

\ (10 \ % \)

from the neutral end, will the relay operate? Justify your answer. If the relay does not operate, suggest a suitable grounding resistance to make the relay operate.

Neglect the resistance of the alternator winding.

$A \ ( 1 5 0 \ mathrm { MVA } , 1 1 \ mathrm { kV$

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