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kVA, kW and power factor: the difference, simply

Your installation consumes kW, but a transformer is bought in kVA. The difference between the two comes down to a single number, cos φ, and ignoring it leads straight to undersizing.

Three powers, three roles

  • kW, active power. The power that actually works: heat, motion, light, computing. It is what your energy meter measures.
  • kvar, reactive power. The power that motors, transformers and electronics exchange with the grid to build their magnetic fields. It "produces" nothing, but it makes current flow.
  • kVA, apparent power. The combination of the two: the total current the equipment must genuinely carry.
The link: cos φ. kW = kVA × cos φ. The power factor (cos φ) says what share of the apparent power actually works. A cos φ of 1 = everything works; 0.8 = only 80 %.

Why a transformer is sized in kVA

What heats a transformer is the current through its windings, whether that current "works" or not. Two 800 kW loads do not impose the same current: at cos φ = 1, 800 kVA are needed; at cos φ = 0.8, 1 000 kVA, and the transformer genuinely carries the current of the 1 000 kVA even though only 800 kW work. That is why its nameplate shows kVA: a current capability, independent of the nature of the load.

The three-phase 400 V formula: S (kVA) = √3 × U × I ÷ 1000. A feeder of 1 443 A at 400 V ≈ 1 000 kVA. Our calculators convert both ways.

A worked example (400 / 230 V installation)

  • A workshop consuming 800 kW with a motor fleet, measured cos φ = 0.8;
  • Apparent power needed: 800 ÷ 0.8 = 1 000 kVA;
  • With the usual growth margin (about 20 %), target 1 250 kVA, the IEC standard rating just above.

Had you ordered "800 kVA because we consume 800 kW", the transformer would have been in permanent overload from day one. The full method lives in the sizing guide.

Improving cos φ: compensation

Capacitor banks (reactive power compensation) raise cos φ towards 0.95–1. A double benefit: the distributor bills reactive energy beyond a threshold (depending on your contract and tariff period), and a better cos φ frees kVA capacity on the existing transformer. Compensation is sized with your design office; state it in your request, it influences the choice.

Watch the harmonics

Power electronics (drives, servers, UPS, charging points) distort the current: beyond cos φ, the K-factor then enters the sizing. If your load is electronics-heavy, read that guide next.

General sizing pointers; reactive billing thresholds depend on your contract and are confirmed with your supplier / DSO.

Frequently asked

1 kVA is how many kW?

It depends on cos phi: kW = kVA x cos phi. At cos phi = 1, 1 kVA = 1 kW; at cos phi = 0.8, 1 kVA delivers only 0.8 kW of useful power.

Why is my transformer rated in kVA and my genset sometimes in kW?

The transformer is limited by current (hence kVA). A generating set is limited both by its alternator (kVA) and by its engine (kW), hence the display of both values.

Which cos phi should I assume if I do not know it?

Absent a measurement, 0.8 is the classic prudent assumption for a mixed load with motors. A heavily compensated or very resistive installation can approach 0.95 to 1. A site measurement remains the best answer.

Does a poor cos phi cost money?

Yes, twice: reactive energy can be billed by the distributor beyond a contractual threshold, and it occupies kVA capacity; transformer, cables and protections must be larger for the same useful power.

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