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Two watt-meters, which are connected to measure the total power on a three-phase system supplying a balanced load, read 20.5 kW and -3.5 kW respectively. The total power is?

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Two watt-meters, which are connected to measure the total power on a three-phase system supplying a balanced load, read 20.5 kW and -3.5 kW respectively. The total power is?

(a) 13.0 kW

(b) 17 kW

(c) 15 kW

(d) 19 kW

This question was addressed to me in unit test.

The question is from Advanced Miscellaneous Problems on Measurement of Power in chapter Measurement of Power and Related Parameters of Electrical Measurements

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Right option is (d) 19 kW

Easiest explanation: w1 = 20.5 kW, w2 = -3.5 kW

∴ w = w1 + w2 = 20.5 – 3.5 = 17 kW.

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