Free Three-Phase Power Calculator
Calculate real, apparent, and reactive power for a balanced three-phase electrical system.
Real Power (P)
29.44 kW
Real Power (P) vs Line-to-Line Voltage (V_LL)
Three-Phase Power Calculations
Three-phase systems are the standard for industrial power distribution.
Formulas
P = sqrt(3) x V_LL x I x cos(phi) (real power in watts)
S = sqrt(3) x V_LL x I (apparent power in VA)
Q = sqrt(3) x V_LL x I x sin(phi) (reactive power in VAR)
where V_LL is the line-to-line voltage, I is the line current, and cos(phi) is the power factor. These apply to balanced loads.
Example Calculation
A 400 V three-phase supply with 50 A line current at 0.85 power factor.
- 01S = sqrt(3) x 400 x 50 = 34,641 VA = 34.64 kVA
- 02P = 34,641 x 0.85 = 29,445 W = 29.44 kW
- 03Q = 34,641 x sin(acos(0.85)) = 34,641 x 0.5268 = 18.25 kVAR
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