kVA to HP Calculator
Evaluate mechanical output in Horsepower from apparent power in kVA, or convert motor Horsepower back to kVA. Settle power system capacities dynamically.
kVA to Horsepower Converter
How to Use the kVA to HP Calculator
Converting apparent power in kilovolt-amperes (kVA) to mechanical output in Horsepower (HP) is direct. Follow these steps:
- 1Enter Apparent Power: Input the apparent power value in kVA into the designating field.
- 2Enter Power Factor: Input the system power factor (PF), which usually ranges from 0.1 to 1.0 (standard is 0.8).
- 3Calculate: Click the "Calculate to HP" button to run the conversion.
How to Convert kVA to HP
In electrical engineering, kilovolt-amperes (kVA) represent apparent power, which is the total power supplied to a circuit. Horsepower (HP) measures the actual mechanical power output generated by an electric motor. Sizing motor supply connections, substation transformers, and generator ratings requires converting apparent power to mechanical output. Since apparent power includes reactive losses, you must multiply kVA by the system power factor (PF) to isolate the real active power in kilowatts (kW), and then convert kilowatts to horsepower by dividing by the electrical constant of 0.746 kW per HP.
Real-Life Sizing Scenarios
Scenario 1: Sizing Motors from Transformer Supplies
An industrial workshop runs a feeder from a 25 kVA transformer supply with a power factor of 0.8. Sizing the equivalent motor capacity in horsepower:
HP = (25 kVA × 0.8 × 1000) ÷ 746 = 26.81 HP
Scenario 2: Sizing Backup Generator Loads
A standby generator provides 15 kVA of apparent power to an extraction motor running at a power factor of 0.85. Sizing the mechanical power output limit:
HP = (15 kVA × 0.85 × 1000) ÷ 746 = 17.09 HP
Step-by-Step Manual Sizing Guide
- 1Identify apparent power: Settle the kVA value of your supply system.
- 2Determine power factor: Check the equipment nameplate (usually 0.8 for standard inductive loads).
- 3Apply kVA to HP Formula: Write:
HP = (kVA × PF × 1000) ÷ 746.
kVA to HP Conversion Chart
The table below displays standard apparent power ratings in kVA and their equivalent mechanical horsepower (HP) capacities, assuming a power factor of 0.8:
| Apparent Power (kVA) | Active Power (kW) | Mechanical Output (HP) |
|---|---|---|
| 7.5 kVA | 6.0 kW | 8.04 HP |
| 10 kVA | 8.0 kW | 10.72 HP |
| 15 kVA | 12.0 kW | 16.09 HP |
| 25 kVA | 20.0 kW | 26.81 HP |
| 50 kVA | 40.0 kW | 53.62 HP |
| 100 kVA | 80.0 kW | 107.24 HP |
| 500 kVA | 400.0 kW | 536.20 HP |
100 kVA to HP
Sizing mechanical output for a large industrial load rated at 100 kVA apparent power at 0.8 power factor:
HP = (100 kVA × 0.8 × 1000) ÷ 746 = 107.24 HP
500 kVA to HP
Converting a high-capacity facility transformer feeder of 500 kVA apparent power at a power factor of 0.8:
HP = (500 kVA × 0.8 × 1000) ÷ 746 = 536.20 HP
25 kVA to HP
Determining the mechanical horsepower capacity equivalent to a 25 kVA apparent power load with 0.8 power factor:
HP = (25 kVA × 0.8 × 1000) ÷ 746 = 26.81 HP
15 kVA to HP
Determining the mechanical capacity matching a 15 kVA standby generator running at 0.8 power factor:
HP = (15 kVA × 0.8 × 1000) ÷ 746 = 16.09 HP
10 kVA to HP
Converting a standard commercial load rating of 10 kVA apparent power at a power factor of 0.8:
HP = (10 kVA × 0.8 × 1000) ÷ 746 = 10.72 HP
7.5 kVA to HP
Sizing the mechanical horsepower output equivalent to a 7.5 kVA generator capacity at a power factor of 0.8:
HP = (7.5 kVA × 0.8 × 1000) ÷ 746 = 8.04 HP
Frequently Asked Questions (FAQs)
To convert apparent power in kVA to mechanical horsepower, multiply kVA by the system power factor to find kilowatts, then divide by 0.746: HP = (kVA × PF × 1000) ÷ 746.
Assuming a standard power factor of 0.8, 1 HP requires approximately 0.93 kVA of apparent power capacity to operate: kVA = (1 × 746) ÷ (0.8 × 1000) = 0.93 kVA.
kVA stands for kilovolt-amperes. It represents apparent power, which is the total electrical power capacity (active plus reactive power) flowing through a generator or transformer.
A 10 HP motor operating at a standard power factor of 0.8 requires: kVA = (10 × 746) ÷ (0.8 × 1000) = 9.33 kVA of apparent power capacity.
1 horsepower (HP) is equal to 746 Watts (0.746 kW) of electrical power or 550 foot-pounds per second of mechanical work.
At a standard power factor of 0.8, a 5 HP motor requires: kVA = (5 × 746) ÷ (0.8 × 1000) = 4.66 kVA.
A rating of 15 kVA is standard for small residential backup generators or rural service transformers. It can supply roughly 16 HP of motor loads or power a standard single-family home.