Amps to kW Calculator

Convert a current in amps to kilowatts for single-phase, three-phase and DC supplies

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Supply

V

Line-to-line, 400 V in Australia and New Zealand

cos φ

0.8 is a common assumption; 1 for resistive loads such as heaters

Current

A

The current in each line of a balanced load

Power

Enter the current in amps to get the power.

How It's Calculated

Voltage times current gives the apparent power; the power factor turns that into the real power in kW:

  • Three-phase: , with the line-to-line voltage and the line current
  • Single-phase:
  • DC:

The apparent power is (or single-phase) and the reactive power . The three-phase formula assumes a balanced load.

Worked Example

A 32 A load on a 400 V three-phase supply at a power factor of 0.8:

  • S = 1.732 × 400 × 32 / 1000 = 22.17 kVA
  • P = 22.17 × 0.8 = 17.74 kW
  • Q = 13.30 kVAr

Frequently Asked Questions

Amps to kW Questions Answered

How do I convert amps to kW for three-phase?

Multiply √3 by the line-to-line voltage, the line current and the power factor, then divide by 1000: P = √3 × V × I × cos φ / 1000. 32 A at 400 V and a power factor of 0.8 is about 17.7 kW.

How do I convert amps to kW for single-phase?

Multiply the voltage, the current and the power factor, then divide by 1000: P = V × I × cos φ / 1000. 32 A at 230 V is 7.36 kW at unity power factor, or 5.89 kW at 0.8.

How many kW is a 32 A three-phase supply?

A 32 A, 400 V three-phase supply delivers 22.2 kVA, which is 22.2 kW for a resistive load or about 17.7 kW at a power factor of 0.8. That is the capacity at full current; the usable load also depends on the protection and the maximum demand.

What is the difference between kW and kVA?

kVA is the apparent power, voltage times current, and sets the heating in cables and transformers. kW is the real power that does work. The power factor is the ratio kW / kVA, so for a resistive load they are equal.

Should I use the line or phase voltage?

For three-phase use the line-to-line voltage (400 V in Australia and New Zealand) with the line current; the √3 in the formula accounts for the three phases. For single-phase use the phase-to-neutral voltage (230 V).

Does a clamp meter reading give the kW?

It gives the current. Multiply by the voltage and, for AC, the power factor. Without a power analyser the power factor is an estimate, so the result is the apparent power in kVA at best and the kW is approximate.

Reviewed by Ahmed Tayeh, electrical engineer at CableHero. The calculator is a design aid: the designer remains responsible for checking the installation against the standards.

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Work out the maximum demand to AS/NZS 3000 Appendix C before choosing the supply.