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06 Numbers and Powers

Amp to kW Load Calculator: Convert Electrical Power

Card No. 06·13587 · Updated · Standard formula, shown below

The calculator on this card is switched off while it is checked. The formula is below, and the worked example shows how to do the sum by hand.

An amp to kW load calculator estimates electrical power in kilowatts from current in amperes, along with voltage and the type of electrical supply. Enter amps, volts, and—where relevant—the power factor to calculate the load; the result is an estimate of real power, not a recommendation for choosing wiring or protective equipment.

Formula

For a single-phase circuit, real power in kilowatts is voltage in volts multiplied by current in amperes and power factor, divided by 1,000:

kW = V × A × PF ÷ 1,000

For a balanced three-phase circuit using line-to-line voltage, the formula is:

kW = √3 × V × A × PF ÷ 1,000

Here, V is voltage in volts, A is current in amperes, and PF is power factor, a unitless value from 0 to 1. The calculator’s supply-type input uses a multiplier of 1 for single phase and 3 for three phase, and applies the three-phase factor √3 automatically. Thus its general real-power expression is kW = multiplier × V × A × PF ÷ 1,000, where the multiplier is 1 or √3, respectively.

Apparent power is also provided for comparison: kVA = multiplier × V × A ÷ 1,000. This is the product of voltage and current (with the appropriate phase factor), without power factor. The calculator’s first result is real power in kW, which is the quantity asked for.

Worked Example

Using the calculator’s defaults—10 A, 230 V, single phase, and a power factor of 1:

  1. Single-phase multiplier = 1.
  2. Real power = 1 × 230 V × 10 A × 1 ÷ 1,000.
  3. Real power = 2,300 W ÷ 1,000 = 2.30 kW.
  4. Apparent power = 1 × 230 V × 10 A ÷ 1,000 = 2.30 kVA.

The result assumes the entered values describe the same operating condition. A device’s actual current and power factor can vary with its load.

Why Amps Alone Do Not Give Kilowatts

Amps measure electric current: the rate of electrical charge flow. Kilowatts measure power, or the rate at which energy is transferred or used. To relate the two, you also need voltage. In AC systems, real power can additionally depend on power factor, which describes how effectively voltage and current combine to deliver usable power.

For example, 10 A at 120 V does not represent the same power as 10 A at 230 V. Even at a fixed voltage, two AC loads drawing the same current can have different real power if their power factors differ. Consequently, there is no universal amps-to-kW conversion factor.

The calculator assumes a balanced three-phase load when that option is selected. It uses line-to-line voltage, the voltage measured between two phase conductors. Do not enter phase-to-neutral voltage into that formula unless you have converted it appropriately; doing so can produce a result that is too low.

How to Choose the Inputs

  • Current: Use the current in amperes for the load and operating condition you want to estimate. If a label gives milliamps, divide by 1,000 to convert to amps.
  • Voltage: Use the voltage supplied to the load, not a nominal value from a different circuit. The calculator accepts volts; for example, 0.23 kV equals 230 V.
  • Supply type: Select single phase for a single-phase load or three phase for a three-phase load. This changes the formula, not just the displayed unit.
  • Power factor: Use a value from 0 to 1 if you know it from reliable equipment information or measurement. A value of 1 means voltage and current are fully aligned for real-power calculation. Do not assume 1 for every AC motor or other inductive load.

If you only know amps and voltage, the kVA result can still be calculated, but real kW needs power factor. Leaving the default power factor at 1 is a mathematical assumption, not a measurement. The resulting kW equals kVA only under that assumption.

Reading kW, kVA, and Energy

One kilowatt is 1,000 watts. Kilowatts describe power at a moment or over a particular operating condition. Kilowatt-hours (kWh), by contrast, measure energy accumulated over time. A load drawing 2 kW continuously for 3 hours uses 6 kWh, assuming its power remains constant. A kW result by itself does not tell you the energy used over a day or month.

kVA is apparent power, commonly useful when considering the combined voltage and current demand of AC equipment. kW is real power—the rate of energy transfer associated with the load. The relationship for the same circuit is kW = kVA × power factor. For a power factor below 1, kW is lower than kVA.

For direct current, the basic power relationship is P = V × A; a power-factor adjustment is not normally part of that calculation. The calculator’s phase selection is intended for single- or three-phase AC formulas, so use a single-phase setting and an appropriate power factor of 1 for a simple DC estimate. For complex waveforms or specialized power systems, a qualified measurement or system-specific calculation may be needed.

Common Errors and Limits

  • Using amps alone: Current without voltage cannot determine power. Find the relevant supply voltage first.
  • Confusing phase voltage and line voltage: The three-phase formula here expects line-to-line voltage and assumes a balanced load.
  • Ignoring power factor: This can overstate real power, especially for loads with a low power factor. Conversely, entering an unsupported low value can understate it.
  • Mixing units: Convert milliamps to amps and kilovolts to volts before entering them. The formula divides by 1,000 to turn watts into kilowatts.
  • Treating a rounded result as exact: Displayed values are rounded to two decimal places. Keep more precision for intermediate calculations when comparing measurements.

The calculation does not account for changing load, voltage variation, harmonics, unbalanced phases, transient startup current, or losses elsewhere in a system. It is a general power estimate, not a method for sizing cables, breakers, generators, or other electrical equipment. Such choices depend on conditions and applicable requirements; consult a qualified electrical professional rather than sizing equipment from this calculator.

Frequently Asked Questions

How many kW is 1 amp?
There is no single answer. At 230 V, single phase, and power factor 1, 1 A corresponds to 0.23 kW. At another voltage, phase arrangement, or power factor, the result changes.

How do I convert amps to kW for three phase?
For a balanced three-phase load, multiply line-to-line volts by amps by power factor and by √3, then divide by 1,000. The calculator applies this three-phase factor when you select three phase.

Is kW the same as kVA?
No. kW is real power and kVA is apparent power. They are equal when power factor is 1; otherwise, kW equals kVA multiplied by power factor.

Can I calculate kW if I do not know the power factor?
You can calculate apparent power from voltage and current, but you cannot determine real AC power precisely without power factor or equivalent measurement information. Assuming a power factor of 1 gives an estimate under that assumption.

Does this calculator tell me what size breaker or cable to use?
No. It estimates power only. Electrical equipment sizing requires additional information and must be handled using applicable requirements by a qualified professional.

Related

Formula used
in a | Current | A | 10 | 0
in v | Voltage | V | 230 | 0
in ph | Supply type | 1=Single-phase, 3=Three-phase
in pf | Power factor | - | 1 | 0 | 1
out kw | Real power | kW | ph * v * a * pf / 1000 | 2
out kva | Apparent power | kVA | ph * v * a / 1000 | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

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