# Horsepower to Kilovolt-Amps (kVA) Conversion Calculator

Convert horsepower (HP) to kilovolt-amps (kVA) by entering the power, motor efficiency, and power factor below.

## Kilovolt-Amps Results:

## On this page:

## How to Convert Horsepower to kVA

*Electrical horsepower* is a measure of real power equivalent to 746 watts, while *kilovolt-amps* measure apparent power. Because power factor and motor efficiency reduce the amount of actual work performed for the amount of apparent power in the circuit, the conversion from horsepower to kVA requires a formula.

### Horsepower to kVA Formula

Use the following formula to convert horsepower to kilovolt-amps.

S_{kVA} = P_{HP} × 0.746 / η × PF

Thus, the apparent power *S* in kVA is equal to the real power *P* in horsepower times 0.746 kilowatts per horsepower, divided by the motor efficiency *η* times the power factor *PF*.

To convert, substitute the power, efficiency, and power factor values in the formula above and solve. A simpler alternative is to use the calculator above, which does the same thing. If the efficiency is unknown, leave it at 100% for the equation.

The formula is derived by following these simple steps.

### Step One: Convert Horsepower to kW

To convert horsepower to kVA, start by multiplying it by 0.746 to convert to kilowatts.

P_{kW} = P_{HP} × 0.746

### Step Two: Account for Motor Efficiency and Power Factor

Next, divide the motor efficiency as a percentage by 100 to get the decimal value, or use a percent to decimal calculator. Then, divide the power in kilowatts by the product of the efficiency and power factor to calculate the apparent power in kilovolt-amps.

S_{kVA} = P_{kW} ÷ (η × PF)

To convert the real power in kilowatts to the apparent power in kilovolt-amps, divide the power in kilowatts by the motor efficiency multiplied by the power factor.

**For example,** let’s convert 25 horsepower to kVA given a power factor of 0.8 and a motor efficiency of 84%

S_{kVA} = 25 HP × 0.746 / 0.84 × 0.8

S_{kVA} = 18.65 kW / 0.672

S_{kVA} = 27.753 kVA

In this example, 25 horsepower is equal to 27.753 kVA.

## Equivalent Horsepower and kVA Ratings

HP | kVA |
---|---|

1 HP | 0.933 kVA |

2 HP | 1.87 kVA |

3 HP | 2.8 kVA |

4 HP | 3.73 kVA |

5 HP | 4.66 kVA |

6 HP | 5.6 kVA |

7 HP | 6.53 kVA |

8 HP | 7.46 kVA |

9 HP | 8.39 kVA |

10 HP | 9.33 kVA |

15 HP | 13.99 kVA |

20 HP | 18.65 kVA |

25 HP | 23.31 kVA |

30 HP | 27.98 kVA |

35 HP | 32.64 kVA |

40 HP | 37.3 kVA |

45 HP | 41.96 kVA |

50 HP | 46.63 kVA |

55 HP | 51.29 kVA |

60 HP | 55.95 kVA |

65 HP | 60.61 kVA |

70 HP | 65.28 kVA |

75 HP | 69.94 kVA |

80 HP | 74.6 kVA |

85 HP | 79.26 kVA |

90 HP | 83.93 kVA |

95 HP | 88.59 kVA |

100 HP | 93.25 kVA |

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