POWER FACTOR

Power Factor, kW, kVAR & kVA Explained

Real power, reactive power, and apparent power answer three different questions. Here's how they relate, why low power factor costs money, and how to size a capacitor bank to fix it.

Power Factor & Capacitor Sizing Calculator

Find kVA and power factor from kW and kVAR, or size the capacitor bank needed to hit a target power factor.

Find PF & kVA
Capacitor Sizing
kVA² = kW² + kVAR² PF = kW ÷ kVA Qc = kW × (tanφ1 − tanφ2)
Power Factor

Enter values and click Calculate

Sizing Notes

Improving power factor lowers kVA demand for the same kW, which reduces current, cable losses, and utility penalties.

Power Factor (PF) is one of the most important concepts in electrical engineering — it indicates how efficiently electrical power is actually being used in a system. Industrial plants, factories, commercial buildings, and large electrical loads often run inductive equipment such as motors, transformers, welding machines, and compressors, and these loads consume both useful power and reactive power at the same time. Understanding how kW, kVAR, and kVA relate to each other is what lets engineers improve system efficiency, reduce electricity bills, and avoid utility penalties.

1. What is kW (Real Power)?

kW (kilowatt) is the actual useful power that performs work — it runs motors, lights lamps, heats heaters, and powers equipment. This is the power that produces useful output, and it's the power you're normally billed for.

Real Power = kW Examples: - Motor rotating a conveyor belt - Electric heater producing heat - Lighting system producing light

2. What is kVAR (Reactive Power)?

kVAR (kilovolt-ampere reactive) is the power required to establish the magnetic fields inside inductive equipment. Motors, transformers, reactors, and other inductive loads need reactive power simply to operate. kVAR doesn't perform useful work directly, but it's still necessary for many electrical devices to function.

Reactive Power = kVAR Examples: - Motor magnetizing current - Transformer excitation current - Inductive coils and reactors

3. What is kVA (Apparent Power)?

kVA (kilovolt-ampere) is the total power supplied by the source — it combines both real power (kW) and reactive power (kVAR). Generators, transformers, UPS systems, and distribution equipment are usually rated in kVA precisely because they have to carry both the useful and the reactive components of the load.

Apparent Power = kVA

4. The Power Triangle

The relationship between kW, kVAR, and kVA is best visualized as a right-angled power triangle, with kVA as the hypotenuse.

kVAR | | | |\ | \ | \ | \ kVA | \ | \ |______\ kW

Using the Pythagorean theorem:

kVA² = kW² + kVAR²

5. What is Power Factor?

Power Factor is the ratio of real power to apparent power, and it indicates how effectively electrical power is being converted into useful work. The value always falls between 0 and 1.

Power Factor = kW ÷ kVA
PFCondition
1.0Excellent
0.95Very Good
0.85Acceptable
Below 0.80Poor

6. Why Low Power Factor Is Bad

A low power factor means more current is required to deliver the same amount of useful power. This causes:

7. How to Improve Power Factor

The most common fix is installing capacitor banks. Capacitors generate reactive power that opposes the reactive demand of inductive loads, which directly reduces the kVAR the utility has to supply.

Before Correction Utility -----> kW + High kVAR -----> Motor PF = 0.75 After Capacitor Installation Capacitor Bank | V Utility -----> kW -----> Motor PF = 0.95+

Methods of PF Improvement

8. Example Calculation

Suppose a factory consumes:

kW = 100 kW Power Factor = 0.80

Then:

kVA = kW ÷ PF kVA = 100 ÷ 0.80 kVA = 125 kVA

If the PF is improved to 0.95:

kVA = 100 ÷ 0.95 kVA = 105.26 kVA

Notice that apparent power drops significantly, which reduces current and losses — that's the efficiency gain from power factor correction, and it lowers operating costs. Try your own numbers in the calculator above.

Conclusion

kW represents useful power, kVAR represents reactive power, and kVA represents total apparent power — power factor tells you how efficiently that apparent power is being converted into useful work. A higher power factor reduces losses, decreases current, improves voltage regulation, and lowers electricity costs. Installing capacitor banks and APFC systems is the most effective way to improve power factor in industrial and commercial electrical systems, and maintaining a power factor above 0.95 is generally considered good engineering practice.

Related Calculators

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Select the correct conductor size, since low PF means higher current.

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