Power Factor Calculator

Power Factor is evaluated from Real Power, Apparent Power and Power Factor. The calculation reports Power Factor, Phase Angle and Real Power.

Results

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About the Power Factor Calculator

Power Factor is treated here as a quantitative relation between Real Power, Apparent Power, Power Factor and Line Voltage and Power Factor, Phase Angle, Real Power and Apparent Power.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
PF = P / S = cos(φ)
P = S x PF (Real Power in kW)
S = P / PF (Apparent Power in kVA)
Q = sqrt(S^2 - P^2) (Reactive Power in kVAR)
From V and I: S = V x I / 1000 (kVA)
Phase angle: φ = arccos(PF) in degrees

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

PF = P / S = cos(φ)
P = S x PF (Real Power in kW)
S = P / PF (Apparent Power in kVA)
Q = sqrt(S^2 - P^2) (Reactive Power in kVAR)
From V and I: S = V x I / 1000 (kVA)
Phase angle: φ = arccos(PF) in degrees

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Industrial Motor — PF Correction

Inputs

real_power: 50 apparent_power: 62.5
Power Factor: 0.8. Phase Angle: 36.87 deg. Real Power: 50 kW. Apparent Power: 62.5 kVA. Reactive Power: 37.5 kVAR

With Real Power = 50 and Apparent Power = 62.5 as the stated inputs, the result is Power Factor = 0.8, Phase Angle = 36.87 deg and Real Power = 50 kW. Each value corresponds to the declared output fields.

Example 2: Residential HVAC Unit

Inputs

power_factor: 0.92 voltage: 240 current: 20
Power Factor: 0.92. Phase Angle: 23.07 deg. Real Power: 4.416 kW. Apparent Power: 4.8 kVA

With Power Factor = 0.92, Line Voltage = 240 and Line Current = 20 as the stated inputs, the result is Power Factor = 0.92, Phase Angle = 23.07 deg and Real Power = 4.416 kW. Each value corresponds to the declared output fields.

Example 3: Unity Power Factor Check — Resistive Load

Inputs

real_power: 3 apparent_power: 3
Power Factor: 1. Phase Angle: 0 deg. Real Power: 3 kW. Apparent Power: 3 kVA. Reactive Power: 0 kVAR

With Real Power = 3 and Apparent Power = 3 as the stated inputs, the result is Power Factor = 1, Phase Angle = 0 deg and Real Power = 3 kW. Each value corresponds to the declared output fields.

Example 4: Data Center UPS Sizing

Inputs

real_power: 800 power_factor: 0.9
Power Factor: 0.9. Phase Angle: 25.84 deg. Real Power: 800 kW. Apparent Power: 888.8889 kVA. Reactive Power: 387.4577 kVAR

With Real Power = 800 and Power Factor = 0.9 as the stated inputs, the result is Power Factor = 0.9, Phase Angle = 25.84 deg and Real Power = 800 kW. Each value corresponds to the declared output fields.

Common Use Cases

  • Find power factor correction capacitor size for an inductive motor
  • Calculate real power from kVA rating and power factor
  • Determine reactive power (kVAR) drawn by equipment