PPolySim OS

Three-Phase Power

The power system that runs the world. Three sinusoids 120 degrees apart deliver constant power and self-starting motors — see the waveforms, phasors, and the power triangle.

Three-Phase PowerLive

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Three-phase power delivers energy on three conductors carrying sinusoids 120° apart, so total power is constant and motors self-start. Line and phase voltages differ by √3, and real power is P = √3·V_line·I·cosφ. The power factor cosφ measures how much current actually does useful work.

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Data Inspector

Phase voltage231 V
Real power P12.5 kW
Apparent S13.9 kVA
Reactive Q6.0 kVAR

Governing equation

Reading this result: Real power P = √3·V_line·I·cosφ = 12.5 kW, trailing the 13.9 kVA apparent power by the angle φ = 26°.

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How it works

Three-phase power distributes energy on three conductors carrying voltages 120° apart, so instantaneous total power stays constant. Line and phase voltages differ by a factor of √3, and real power is P = √3·V_line·I·cosφ. The power factor cosφ sets how much of the apparent power does useful work — the basis of grid and industrial electrical engineering.

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Frequently asked questions

Is this three-phase power calculator tool really free?▾
Yes. Three-Phase Power runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.