A transformer on no-load has a core loss of 50 W, draws a current of 2A and has an induced EMF of 230 V. Determine the no-load power factor and core-loss current.

A transformer on no-load has a core loss of 50 W, draws a current of 2A and has an induced EMF of 230 V. Determine the no-load power factor and core-loss current.

Right Answer is:

Power factor = 0.108 lagging, core-loss current = 0.216 A

SOLUTION

Given:

wattmeter reading Wo = 50 W

voltmeter reading V1 = 230 V

Ammeter reading I­0 = 2 A

Iron loss of the transformer, Pi = W0

W0 = V1 I0 cos ϕ

50 = 230 × 2 × cos ϕo

cos ϕ0  = 0.108 lagging

Core loss component

IW = Iocos ϕo

IW = 2 × 0.108 = 0.216 A

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