Intermediate

Generator Power Calculator — Real, Apparent & Reactive Power

Find the real, apparent and reactive power output of a generator. Enter the voltage, current, power factor and efficiency to see exactly how many kilowatts your generator delivers to the load.

Generator type

V

Line voltage (single-phase) or line-to-line voltage (three-phase)

A

cos φ — typically 0.8–0.95 for AC generators

%

Mechanical-to-electrical efficiency (leave at 100 to ignore losses)
Real (True) Power
2.160kW

Actual electrical work output delivered to the load

Real power (W)
2,160 W
Apparent power
2.4 kVA
Reactive power
1,046.14 VAR
Input power required
2,400 W
240V24ΩI = 10AGenerator delivers real power P = V × I × PF to the load
Step by step
  1. 1

    Apparent power S = V × I

    240 × 10 = 2,400
  2. 2

    Real power P = S × PF

    2,400 × 0.9 = 2,160
    Power factor (cos φ) is the fraction of apparent power that does real work on the load.
  3. 3

    Real power in kilowatts

    2,160 ÷ 1000 = 2.160
Results are estimates for general information only and are not professional advice — always verify important results independently before relying on them. Read the full disclaimer.
Quick answer

How does this calculator work?

Real power P = V × I × PF (single-phase) or √3 × V × I × PF (three-phase); apparent power S = V × I. A 240 V, 10 A generator at PF 0.9 delivers 2.16 kW real power and 2.4 kVA apparent power. Reactive power Q = √(S² − P²). Divide real output by efficiency to get the mechanical input required.

Formula
P (real) = V × I × PF (single-phase) • P = √3 × V × I × PF (three-phase) • S (apparent) = V × I • Q = √(S² − P²)
How this is calculated

A generator converts mechanical energy (from an engine, turbine or motor) into electrical energy. The key quantity users care about is real power (P, in watts or kilowatts) — the actual work done on the load. For a DC generator the relationship is simply P = V × I. For AC generators a third factor enters: the power factor (PF = cos φ), which captures the phase angle between voltage and current. A purely resistive load has PF = 1 (all power is real); inductive loads such as motors and transformers introduce a lag, reducing PF and raising the apparent power (S = V × I) above the real power.

For three-phase generators — the most common type for industrial and commercial use — the apparent power picks up a √3 factor: S = √3 × V_L × I_L, where V_L is the line-to-line voltage and I_L is the line current. The real power remains P = S × PF. The reactive power Q = √(S² − P²) represents energy that sloshes back and forth without doing net work, and it determines how much current the generator windings must carry above what the load actually consumes.

The efficiency field accounts for losses inside the generator itself (copper losses in the windings, iron losses in the core, mechanical friction). At 90% efficiency the generator must receive 100 W of mechanical input to deliver 90 W of electrical output. This calculator uses the 2025 IEC standard definition of apparent power. Power factor and efficiency values are editable estimates — check your generator nameplate for the rated values.

Frequently asked questions

kW (kilowatts) is real power — the actual electrical work delivered to a load. kVA (kilovolt-amperes) is apparent power — the total current capacity the generator must supply, including reactive current that does no net work. They are equal only when the power factor is 1.0 (purely resistive loads).

Most AC generators are rated at a power factor of 0.8 (lagging), which is the IEC/IEEE standard design point. In practice, loads can range from 0.7 to near 1.0 depending on the mix of resistive, inductive and capacitive equipment on the circuit.

A three-phase system carries three voltage waves 120° apart. When you measure the line-to-line voltage and the line current, the three-phase apparent power is S = √3 × V_L × I_L. This factor arises from the geometry of the phasor sum of the three phases and is exact for balanced loads.

Also known as

generator power output calculator
kva to kw generator
ac generator real power
three phase generator power calculator
apparent power reactive power calculator
power factor generator
generator wattage calculator

APA

TG we-Calculate Editorial Team. (2026). Generator Power Calculator — Real, Apparent & Reactive Power [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/generator-power-calculator

Chicago

TG we-Calculate Editorial Team. "Generator Power Calculator — Real, Apparent & Reactive Power." TG we-Calculate. 2026. https://we-calculate.com/calculator/generator-power-calculator.

IEEE

TG we-Calculate Editorial Team, "Generator Power Calculator — Real, Apparent & Reactive Power," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/generator-power-calculator

BibTeX

@misc{wecalculate_generator_power_calculator, title = {Generator Power Calculator — Real, Apparent & Reactive Power}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/generator-power-calculator}}, year = {2026}, note = {TG we-Calculate} }

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