EngiRef / Electrical Engineering Formula

Three-Phase Power

Three-Phase Power: Total power in three-phase system. An AC Circuits formula in electrical engineering. Variables P, Vₗ, Iₗ and φ, each with SI and imperial…

AC Circuits

Specification

Name
Three-Phase Power
Discipline
electrical
Category
AC Circuits
LaTeX
P = \sqrt{3} V_L I_L \cos(\phi)
Description
Total power in three-phase system
Conditions
Balanced three-phase system
Can solve for
P, Vₗ, Iₗ
Tags
three-phase, power, line, voltage, current

Variables

Variables for Three-Phase Power
SymbolNameUnitSi Unit
PTotal PowerWW
VₗLine VoltageVV
IₗLine CurrentAA
φPhase Angle°rad

Common questions

What is the Three-Phase Power formula?
Total power in three-phase system. It sits under AC Circuits, Electrical engineering in the EngiRef reference.
What do the symbols in the Three-Phase Power formula mean?
In Three-Phase Power, P is total power in W; Vₗ is line voltage in V; Iₗ is line current in A; φ is phase angle in °.
When does the Three-Phase Power formula apply?
Three-Phase Power holds under this condition: Balanced three-phase system.