A 3-phase, 20MVA, 11KV star connected alternator is protected by Merz-Price circulating current system. The star point is earthed through a resistance of 5 ohms. If the CTs have a ratio of 1000/5 and the relay is set to operate when there is an out of balance current of 1.5A, calculate : 1) the percentage of each phase of the stator winding which is unprotected. 2) the minimum value of earthing resistance to protect 90% of the winding.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
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ISBN:9781337399128
Author:Russell E. Smith
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Chapter7: Alternating Current, Power Distribution, And Voltage Systems
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A 3-phase, 20MVA, 11KV star connected alternator is protected by Merz-Price circulating current system. The star point is earthed through a resistance of 5 ohms. If the CTs have a ratio of 1000/5 and the relay is set to operate when there is an out of balance current of 1.5A, calculate :

1) the percentage of each phase of the stator winding which is unprotected.

2) the minimum value of earthing resistance to protect 90% of the winding.

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