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Three-Phase Power Calculator

Find real power delivered by a balanced three-phase electrical system.

Inputs

Saved Scenarios

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Real Power (kW)

6.235

Spark says

How it's calculated

Formula

P=3×Vline×Iline×PFP = \sqrt{3} \times V_{line} \times I_{line} \times PF
\sqrt{3}
— ≈1.732, from the 120° phase relationship between the three phases

What is the Three-Phase Power Calculator?

Three-phase power delivers roughly 1.73× (√3) more power than a single-phase circuit at the same voltage and current, which is why three-phase is standard for higher-power industrial and commercial loads.

How to use it

  1. 1 Enter the line-to-line voltage.
  2. 2 Enter the line current.
  3. 3 Enter the load's power factor (1.0 for a purely resistive load).

Worked examples

400V, 10A, 0.9 power factor

About 6.235 kW of real power.

Try it

Limitations

  • •Assumes a balanced three-phase system (equal loading across all three phases) — unbalanced systems require phase-by-phase calculation.

Frequently asked questions

Why does three-phase power use √3 instead of 3?

Because the three phases are 120° apart, not all three reach peak voltage/current simultaneously — √3 accounts for this phase relationship in a balanced system.