Engineering

Three-Phase Power Calculator

Real power for a balanced three-phase electrical load.

Enter your values

ⓘ Live results

Results
Real power
37.41 kW
Apparent power
41.57 kVA
Reactive power
18.12 kVAR

Quick answer

P = sqrt(3) x V_line x I_line x power factor.

P = sqrt(3) V I pf

How to use the Three-Phase Power Calculator

  1. 1Enter the line-to-line voltage and line current of the three-phase circuit.
  2. 2Enter the load's power factor (1.0 for purely resistive loads).
  3. 3Read the real, apparent and reactive power.

Worked example

Using the values the calculator loads with:

Inputs

  • Line voltage480 V
  • Line current50 A
  • Power factor0.9

Results

  • Real power37.41 kW
  • Apparent power41.57 kVA
  • Reactive power18.12 kVAR

Frequently asked questions

Why the square root of 3?

It accounts for the 120-degree phase offset between the three phases in a balanced system.

What is reactive power?

Power that oscillates between source and load without doing real work, caused by inductive or capacitive loads.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.