P = √3·U·I·cosφ

Three-phase AC power

√3 applies to line voltage and balanced load; cosφ accounts for phase shift.

MINTSI
01

Inputs

Consumed real power.

RMS voltage between two line conductors.

RMS current per line.

Ratio of real to apparent power.

02

Result

Select a target and calculate.

Calculation

P = √3 · U · I · cosφ

√3 applies to line voltage and balanced load; cosφ accounts for phase shift.

Understand the inputs
  • Real power PConsumed real power.
  • Line voltage URMS voltage between two line conductors.
  • Line current IRMS current per line.
  • Power factor cos φRatio of real to apparent power.
Example

√3 · 400 V · 10 A · 1 = 6.93 kW.

Assumptions and limits

Balanced 50 Hz system; harmonics and imbalance are excluded.

Sources