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Electrical / Power & Wattage

Horsepower to Kilovolt-Amps (kVA) Conversion Calculator

Estimate the apparent electrical rating needed for a motor.

Apparent Power
5.181 kVA
Real Power
4.144 kW
002.52.5955.187.57.771010.36hpkVA5 hp5.18 kVA
1 hp = 1.03611 kVA

Use the stated electrical relationship and enter values in the displayed units.

Source: Formula conventions follow standard electrical engineering relationships. Verify equipment ratings and local code requirements before installation.

Written by
MPhil in Mathematics, Founder of Mathovia
Updated

Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work

Horsepower to Kilovolt-Amps (kVA) Conversion Calculator formula
The Horsepower to Kilovolt-Amps (kVA) Conversion formula

Bridging a mechanical rating to an electrical supply

A motor’s nameplate is in horsepower — a mechanical output. The generator, transformer, or panel that has to feed it is rated in kVA — apparent electrical power. Getting from one to the other means walking backward through the motor: from shaft output, up through the internal losses to the real electrical input, then out to the apparent power the source must supply.

This is the calculation for sizing a standby generator to run a well pump, spec’ing a transformer for a shop’s largest machine, or checking whether an existing feeder can take a new motor.

The horsepower to kVA formula

is the mechanical output in watts. Dividing by efficiency (a decimal) scales up to the real electrical input; dividing by the power factor converts real power to apparent power; dividing by 1,000 gives kilovolt-amps.

Worked example

The calculator’s defaults are 5 hp, 90% efficiency, power factor 0.8.

Mechanical watts:

Electrical input (real power):

Apparent power:

So a 5 hp motor needs about 5.18 kVA of running supply — and a fair bit more headroom for its starting surge.

Horsepower to Kilovolt-Amps (kVA) Conversion Calculator worked example diagram
A visual read of the worked example above — the same numbers the calculator returns for its default inputs.

Approximate running kVA by motor size

At 88% efficiency, power factor 0.85:

MotorRunning kVASuggested source (with start margin)
1 hp~1.0 kVA3–5 kVA
2 hp~2.0 kVA5–7 kVA
5 hp~5.0 kVA10–15 kVA
10 hp~9.9 kVA20–30 kVA
15 hp~15 kVA30–45 kVA
20 hp~20 kVA40–60 kVA
25 hp~25 kVA50–75 kVA
30 hp~30 kVA60–90 kVA
50 hp~50 kVA100–150 kVA
75 hp~75 kVA150–225 kVA
100 hp~100 kVA200–300 kVA

That’s where the everyday rule of thumb comes from: 1 hp is roughly 1 kVA of running load for a typical induction motor, so 10 hp in kVA is about 10 and 50 hp is about 50. Larger motors are usually a little more efficient than 88%, which pulls their kVA slightly below the table; small single-phase motors are less efficient and land above it.

The source column is deliberately generous: a direct-on-line motor start pulls three or more times the running kVA, and a generator has to hold its voltage through that without stalling. A soft starter or variable-frequency drive cuts that surge sharply, so motors started that way can sit closer to the low end of the range.

What the estimate assumes

Efficiency and power factor are nameplate values at full load. A lightly loaded motor runs at a worse power factor, which raises the kVA it demands. Use the actual nameplate figures, and add the starting-inrush margin, before committing to a feeder, transformer, or generator size.

Common mistakes

  • Sizing a generator to the running kVA with no allowance for starting inrush.
  • Multiplying by efficiency instead of dividing.
  • Using the kW figure to size the alternator — the alternator is rated in kVA; kW sizes the engine.

For the reverse, use the kVA to horsepower calculator. For line current, see horsepower to amps.

Sizing for motor starting

Running kVA is only half the story. A motor started straight across the line can draw roughly five to seven times its running current for a second or two. Using typical values of 85% efficiency and a 0.85 power factor, a 5 hp motor needs about:

At around six times that during starting, the generator briefly sees more than 30 kVA. A soft starter or variable-speed drive can cut the starting surge to about two to three times running, which allows a much smaller generator.

Several motors on one supply

Add the running kVA of every motor that runs at the same time, then add the starting surge of the largest motor, assuming the others are already running. Starting the motors one at a time, largest first, keeps the peak demand down.

About the formula: Use the stated electrical relationship and enter values in the displayed units.

Frequently Asked Questions

How does this horsepower to kVA conversion work?+

Multiply horsepower by 746 for mechanical watts, divide by efficiency to get the electrical input, then divide by power factor to reach apparent power in kVA — the quantity a generator or transformer is rated in.

How many kVA does a 5 hp motor need?+

About 5.2 kVA at 90% efficiency and a power factor of 0.8. That's the running demand; the starting surge is several times higher, which is why a generator for a 5 hp motor is usually rated well above 5 kVA.

Is 1 hp equal to 1 kVA?+

Roughly, for a running induction motor. One horsepower is 746 W of mechanical output; at a typical 88% efficiency and 0.85 power factor that takes about 1.0 kVA of supply. It's a handy estimate, but use the nameplate efficiency and power factor for anything you're sizing.

Why divide by efficiency instead of multiplying?+

The electrical input is larger than the mechanical output because of internal losses. Dividing the output by efficiency (a decimal under 1) scales up to that larger input figure.

Why does this divide by power factor while kVA to horsepower multiplies?+

Real power equals apparent power times power factor. Going from horsepower up to kVA reverses that, so it divides. The two calculators run the same relationship in opposite directions.

Does this size the generator by itself?+

No. It gives the running kVA. Add margin for motor starting inrush — often 3× or more for a direct-on-line start — and for any other loads on the same source.

The calculator also shows kW. What's that for?+

It's the real power the motor draws, useful for the prime-mover (engine) side of a generator, which is rated in kW. The alternator side is rated in kVA.