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Q5. Two three phase, 3.3 kV alternators operating in parallel supply the following three loads:

à A lighting load of 600 kW at unity power factor

à Motors totalling 2500 kW at p.f. 0.7 lag

à A synchronous motor driving a bow thruster

One alternator supplies 350 A at p.f. 0.9 lag and the other supplies 330 A at p.f. 0.95 lag.

Determine EACH of the following:

(a) The kW supplied to the synchronous motor;(11)

(b) The p.f. of the synchronous motor; (3)

(c) The overall p.f. of the system. (2)