# Kilowatts (kW) to Kilovolt-Amps (kVA) Conversion Calculator

Convert kilowatts (kW) to kilovolt-amps (kVA) by entering the power and power factor in the form below.

## Kilovolt-Amps Results:

## On this page:

## How to Convert KW to kVA

Kilowatts and kilovolt-amps are both a measure of power, but they’re a little different. Kilowatts (kW) measure the real power in an electrical circuit, while kilovolt-amps (kVA) measure the apparent power.

In electrical equipment with an inductive characteristic, such as a generator or transformer, the real power and apparent power are often not equal.

Real power is the amount of power that does real work in the circuit and is always the same or less than the apparent power. Apparent power is determined by the magnitude of voltage and current that must be transmitted to the device.

For reactive (inductive and/or capacitive) loads, electrical energy is stored in the device and pushed back to the power supply as opposed to doing real work. This phenomenon is called reactive power and is measured in kilovolt-amps-reactive (kVAR). Therefore, typically we try to maximize the real power and minimize reactive power.

The ratio of real power to apparent power is called the power factor (PF) and is between 0 and 1, where 1 is a pure resistive load and both inductive and capacitive loads have a PF less than 1.

To convert from kilowatts to kilovolt-amps considering all of this, you’ll need a simple formula.

### kW to kVA Formula

The formula to convert kW to kVA accounting for the power factor is:

S_{(kVA)} = P_{(kW)} ÷ PF

The apparent power *S* in kVA is equal to the real power *P* in kW divided by the power factor *PF*.

To convert to kVA, substitute the power in kW and the equipment power factor in the formula above.

**For example,** let’s find the apparent power in kVA for a 10 kW electric motor with a power factor of 0.8.

S_{(kVA)} = 10 kW ÷ 0.8

S_{(kVA)} = 12.5 kVA

In this example, 10 kilowatts with a power factor of 0.8 is equivalent to 12.5 kilovolt-amps.

## kW to kVA Conversion Chart

This chart shows kilovolt-amps (kVA) converted to kilowatt (kW) ratings for equipment with a power factor of 0.8.

kW | kVA |
---|---|

5 kW | 6.3 kVA |

7.5 kW | 9.4 kVA |

10 kW | 12.5 kVA |

15 kW | 18.7 kVA |

20 kW | 25 kVA |

25 kW | 31.3 kVA |

30 kW | 37.5 kVA |

40 kW | 50 kVA |

50 kW | 62.5 kVA |

60 kW | 75 kVA |

75 kW | 93.8 kVA |

80 kW | 100 kVA |

100 kW | 125 kVA |

125 kW | 156 kVA |

150 kW | 187 kVA |

175 kW | 219 kVA |

200 kW | 250 kVA |

250 kW | 312 kVA |

300 kW | 375 kVA |

350 kW | 438 kVA |

400 kW | 500 kVA |

500 kW | 625 kVA |

600 kW | 750 kVA |

700 kW | 875 kVA |

800 kW | 1,000 kVA |

900 kW | 1,125 kVA |

1,000 kW | 1,250 kVA |

1,250 kW | 1,563 kVA |

1,500 kW | 1,875 kVA |

1,750 kW | 2,188 kVA |

2,000 kW | 2,500 kVA |

2,250 kW | 2,812 kVA |

You might also be interested in our kVA to kW calculator.