Circuits

Three-Phase Power Calculator

Line and phase currents, P, Q, S and power factor of balanced wye and delta loads, with power factor correction.

Tool no.
ECT-K10
Rev
1.0
Updated
Oct 2026
Method
Per-phase analysis
How to use this calculator

Choose wye or delta, enter the line voltage and either the impedance per phase or the total power and power factor. Add a target power factor to size the correction capacitors.

Formulas

WyeVL = √3 Vφ,  IL = Iφ
DeltaVL = Vφ,  IL = √3 Iφ
PowerP = √3 VLIL cos θ,  Q = √3 VLIL sin θ

Worked example

480 V line voltage, wye load of 8 + j6 Ω per phase (the default)

  1. Vφ = 480/√3 = 277.1 V and |Z| = 10 Ω, so IL = 27.7 A.
  2. P = 3 × 27.7² × 8 = 18.4 kW, Q = 13.8 kVAR, S = 23.0 kVA.
  3. pf = 0.8 lagging.

Frequently asked questions

Why correct the power factor?

Reactive current loads the lines and transformers without doing work. Capacitors supply it locally, lowering the line current and losses.