Power factor tool

Power Factor, kW, and kVA Calculator

Solve kW, kVA, or power factor from the other two values for commercial load and power-quality worksheets.

Solve kW, kVA, and Power Factor

Solve the power-triangle relationship between real power, apparent power, and power factor without adding capacitor-sizing assumptions.

Result

Power factor

0.80

Result notes

Keep the entered values, assumptions, and result together when adding this calculation to job notes or submittal records. Final installation choices should align with the applicable code edition, equipment listing, manufacturer instructions, local amendments, and AHJ requirements.

Formula and field context

Solve kW, kVA, or power factor from the other two values for commercial load and power-quality worksheets.

Formula context

Power Factor Triangle Chart

A power factor triangle chart is a calculator result record for the kW-kVAR-kVA relationship. It helps an electrician separate real power, reactive power, apparent power, phase angle, and displacement power factor before moving to capacitor correction, utility billing review, or harmonic screening.

Formula

kVA = sqrt(kW^2 + kVAR^2). PF = kW / kVA. Phase angle = acos(PF).

Variables to keep with the result

  • kW is active power that performs useful work.
  • kVAR is reactive power associated with magnetic or capacitive fields.
  • kVA is apparent power carried by conductors, transformers, and upstream equipment.
  • PF is the displacement power factor for the calculator result unless harmonic distortion is documented separately.

Formula and variables

Power factor equals kW divided by kVA. Real power is the useful work in kW, apparent power is the total volt-ampere load in kVA, and power factor shows how much of that apparent power becomes useful work. The same family also gives kW = kVA x PF and kVA = kW / PF.

Commercial field example

If a service interval shows 100 kW and 125 kVA, the power factor is 0.80. If the same 100 kW load improves to 0.95 power factor, the apparent power falls to about 105.3 kVA. That relationship helps explain demand, transformer loading, and power-factor correction discussions.

When to use a broader calculator

Use the power-factor calculator when reactive power, correction capacitor kVAR, voltage, frequency, or cost impact must be reviewed. Use the transformer calculator or kVA-to-amps chart when apparent power needs to move into line-current or equipment-schedule review. This worksheet covers the kW, kVA, and PF relationship, not final capacitor selection or utility-bill interpretation.

Common Questions

Can power factor be greater than 1?
No. For this planning relationship, power factor should be greater than 0 and no more than 1.
Why are kW, kVA, and power factor reviewed together?
They describe the same AC power relationship. Keeping the three values together helps preserve the load assumptions behind the result.
Does this calculate capacitor size?
No. It only solves kW, kVA, and power factor. Use the power-factor correction calculator for capacitor kVAR context.