Electrical

Three-Phase Power Calculator

Calculate real power (kW) for a three-phase electrical load from voltage, current, and power factor.

  • Answers as you type
  • Every formula cited
  • Calculated in your browser
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Imperial · sales tax
The line-to-line voltage of the three-phase system.

Common commercial/industrial three-phase voltages include 208V, 240V, and 480V.

The current draw per phase, in amps.

Check the equipment's nameplate rating or a clamp meter reading.

The load's power factor — 1.0 is purely resistive, motors are typically lower.

0.8-0.9 is a common range for industrial motor loads when the exact value isn't specified.

Real power

35.33 kW

High confidence
Apparent power
41.57 kVA
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Standard three-phase power formula: P = sqrt(3) x V x I x power factor

Inputs used

Line Voltage (V)
480
Current (A)
50
Power Factor
0.85

Intermediate steps

Apparent power
41.57 kVA
Final result35.33 kW

What this calculation does not cover

  • BALANCED loads only. The square root of three assumes the three phases carry equal current; an unbalanced load puts current in the neutral and the phase currents stop being interchangeable, so a single measured current no longer describes the system.
  • The power factor entered has to be the TRUE power factor, not the displacement factor alone. Variable-speed drives, LED drivers and switched-mode supplies draw harmonic current that adds to the apparent power without adding real power, and a meter reporting only displacement will flatter the answer.
  • Sizing conductors and protection from this figure means going through current, not kilowatts: ampacity, voltage drop, the protective device and any derating for grouping or ambient temperature are separate calculations, and the kW here is an input to none of them directly.
  • Motor loads draw far more than their running current at start-up — several times, depending on the starting method — and it is the starting condition that sizes the protection and stresses the supply.
  • Harmonic current also loads the neutral in a way the phase figures do not show. On a three-phase supply with many single-phase electronic loads, the triplen harmonics add rather than cancel in the neutral, which is why a neutral sized to match the phases can still run hot.

Add the equipment this sizes

This result is a specification — 35.33 kW — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-02 · in the site-wide review of 2026-09-06 · v1.0.1

Regulatory standards & verification citations1
  1. Standard three-phase power formula: P = sqrt(3) x V x I x power factor
Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

How to calculate three-phase power in 4 steps

  1. Line Voltage (V)The line-to-line voltage of the three-phase system.
  2. Current (A)The current draw per phase, in amps.
  3. Power FactorThe load's power factor — 1.0 is purely resistive, motors are typically lower.
  4. Real powerThe tool computes the real power from those figures and shows the formula, its sources, and a confidence rating alongside it.

Real power by line voltage (V)

Page defaults, not your figures above.

Line Voltage (V)Real power (kW)
1007.36
20014.7
50036.8
1,00073.6

Frequently asked questions

Why does three-phase power use sqrt(3) instead of just multiplying voltage by current?
In a three-phase system, the three phases are offset by 120°, so their combined power isn't a simple sum — the sqrt(3) factor (approximately 1.732) accounts for this phase relationship in the standard line-to-line voltage power formula.
What's the difference between kW and kVA?
kVA is apparent power (voltage x current, ignoring phase angle), and kW is real power, the actual usable power after accounting for power factor, so kW is always less than or equal to kVA. Equipment ratings sometimes use one or the other depending on the context.
Where would I use this calculation?
Common uses include sizing generators, transformers, or panels for three-phase equipment like large HVAC units, industrial motors, or commercial pump systems.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.