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Three-Phase Energy Calculator — kW, kWh & Current

Calculate balanced three-phase real power and energy from line voltage, line current, power factor and time, or reverse-solve current from target kW.

Line voltage V (V)Line current I (A)Power factor (0–1)Operating time (h)Target real power (kW, optional)

Result

12.471 kW

99.766 kWh over 8 h

Enter target kW for reverse current solve.

P = √3 × 400 V × 20 A × 0.9 ÷ 1000 = 12.470765814495916 kW

E = 12.470765814495916 kW × 8 h = 99.76612651596733 kWh

Reverse current is not requested.

Formula and worked example

P = √3 × V_L × I_L × PF; energy = P × time; I = P ÷ (√3 × V_L × PF).

400 V, 20 A and 0.9 PF gives about 12.471 kW; for 8 hours that is about 99.766 kWh.

The load is modeled as balanced three-phase using line-to-line voltage and line current.
Power factor is an entered real-power ratio; harmonics, demand charges and unbalance are outside this arithmetic.

Last updated: 2026-09-16

For a balanced three-phase system expressed with line voltage and line current, total apparent power includes the √3 factor.

This calculator first uses power factor to obtain real kW, then multiplies real power by the entered operating time.