Three-Phase Power Calculator
Calculate real, reactive, and apparent power in a balanced three-phase AC system.
V
A
Real Power
14.13 kW
Apparent Power16.63 kVA
Reactive Power8.76 kVAR
Phase Voltage277.1 V
Real Power vs Line-to-Line Voltage
Three-Phase Power Calculations
Three-phase systems are the standard for industrial and commercial power distribution.
Formulas (Balanced Load)
Apparent Power = sqrt(3) x V_line x I_line
Real Power = Apparent x Power Factor
Reactive Power = sqrt(Apparent^2 - Real^2)
Phase Voltage = Line Voltage / sqrt(3)
The sqrt(3) factor (approximately 1.732) arises from the 120-degree phase separation between the three phases.
Example Calculation
480 V three-phase, 20 A line current, 0.85 power factor.
- 01Apparent: sqrt(3) x 480 x 20 = 16,627 VA = 16.63 kVA
- 02Real: 16,627 x 0.85 = 14,133 W = 14.13 kW
- 03Reactive: sqrt(16627^2 - 14133^2) = 8,744 VAR = 8.74 kVAR
- 04Phase voltage: 480 / 1.732 = 277.1 V
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