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Enter the active power value in Watts (W) or kilowatts (kW), Enter the apperent power in Volt amperes (VA) or kilovolt amperes (kVA), then click on " Calculate " button.
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The power factor (Cosφ) is a measure of how effectively electrical power is being used in a circuit. It is defined as the ratio of the real power (measured in watts or kilowatts) used to do work to the apparent power (measured in volt-amperes or kilovolt-amperes) supplied to the circuit. Mathematically, it is expressed as:
General Formula
The formula for power factor is: \[ Cosφ=\frac{P}{S} \]
Unit of Measurement:
- \(S\): is the apparent power in volt-amperes or kilovolt- amperes (VA, kVA).
- \(P\): is the active power in watts or kilowatts (W,kW).
- \(PF\) = Cosφ: is the phase angle between the voltage and current.
Practical Examples
Let's say we have one generator and it's nameplate given as: P=480kW and S=600kVA
\[ Cosφ=\frac{P}{S} \notag\\ Cosφ=\frac{480kW}{600kVA} \notag\\ Cosφ=0.8 \]Therefore, the power factor is Cosφ=0.8.
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