EngiRef / Formulas

Three-Phase Power

Total power in three-phase system

AC Circuits

Source Details

Id

elec-three-phase-power

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

Variables
[
  {
    "symbol": "P",
    "name": "Total Power",
    "unit": "W",
    "siUnit": "W"
  },
  {
    "symbol": "Vₗ",
    "name": "Line Voltage",
    "unit": "V",
    "siUnit": "V"
  },
  {
    "symbol": "Iₗ",
    "name": "Line Current",
    "unit": "A",
    "siUnit": "A"
  },
  {
    "symbol": "φ",
    "name": "Phase Angle",
    "unit": "°",
    "siUnit": "rad"
  }
]
Solve For

P, Vₗ, Iₗ

Tags

three-phase, power, line, voltage, current

Is Custom

false