ClueLuma

Balanced 3-phase real power calculator

Use line quantities and the square-root-of-three factor for balanced three-phase real power.

P=3×VLL×IL×PFP = \sqrt{3} \times V_{\text{LL}} \times I_{L} \times \mathrm{PF}

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

V
A
decimal
W

Worked example

Given

  • VLLV_{\text{LL}} = 480 V
  • ILI_{L} = 100 A
  • PF\mathrm{PF} = 0.85 decimal
P=3×480×100×0.85≈70,668P = \sqrt{3} \times 480 \times 100 \times 0.85 \approx 70{,}668

Symbols and units

SymbolMeaningUnit
PPreal powerW
VLLV_{\text{LL}}line-to-line RMS voltageV
ILI_{L}line RMS currentA
PF\mathrm{PF}power factordecimal

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.