Download - 14.3.2 Power Delta
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PK = VP IP cos ΦK
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3 PK = 3 VP IP cos ΦK
OR
3 PK = 3 VP IP pf
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VL = VP, and IL = √3 IP.
(P) = 3 VL IL pf √3
P = √3 V I pf
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ExampleA three-phase 415 V motor draws 10 A at 0.8 power factor. How much power does it consume?
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P = √3 V I λP = √3 x 415 x 10 x 0.8P = 1.732 x 415 x 10 x 0.8 = 5750.41 WP = 5.75 kW