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Q2. The load on a vessel’s distribution system comprises:

- motors totalling 1200 kW at a p.f. of 0.7 lag

- lighting totalling 500 kW at unity p.f.

- an over excited synchronous motor taking 200 kW at p.f. 0.5 lead

This total load is shared by two identical alternators, one of which provides 1000 kVA at a p.f. of 0.85 lag.

Calculate EACH of the following:

(a) the kW supplied by the second alternator; (3)

(b) the kVA supplied by the second alternator; (5)

(c) the power factor of the second alternator; (3)

(d) the power factor of the synchronous motor if the overall p.f of the system is to be raised to unity. (5)