Billing
How power factor penalty is calculated
The charge is not arbitrary. It follows from how the utility measures your demand — and once you know which structure applies, the payback period becomes arithmetic.
A power factor penalty is a billing adjustment applied when the ratio of real power (kW) to apparent power (kVA) falls below a threshold set in the tariff, commonly 0.95. The utility must supply and carry the extra current needed for reactive power, so it recovers that cost from the customer causing it.
Three structures account for most tariffs: a multiplier on the demand charge, a direct charge per kVAR of excess reactive demand, or a ratchet that steps the surcharge as power factor drops.
Why the utility charges for it
Real power does work. Reactive power establishes the magnetic field that motors, transformers and ballasts need in order to operate, and it is not consumed — it sloshes back and forth between the load and the source sixty times a second, or fifty.
The problem is that the utility must size cables, transformers and generators for the total current, and that current includes the reactive component. A plant drawing 500 kW at 0.75 power factor pulls 667 kVA through equipment that only needs to deliver 500 kW of useful work. The utility funds the difference and bills it back.
kVA = √( kW² + kVAR² )
PF = kW / kVA
# at 500 kW and 0.75 PF
kVA = 500 / 0.75 = 667 kVA ← billed demand
kVAR = √(667² − 500²) = 441 kVAR
The three penalty structures you are likely to face
| Structure | How it is applied | Typical magnitude |
|---|---|---|
| Demand charge multiplier | Billed demand is calculated as kW ÷ PF, or kW × a multiplier that grows as PF falls. | +5% to +30% of demand charge |
| Reactive demand charge | A separate rate per kVAR, applied only to the portion above a threshold such as 50% of kW. | $0.50–$2.00 per kVAR |
| Stepped ratchet | No penalty above 0.95; increasing surcharge at 0.90–0.95 and steeper below 0.90. | 0% / +2% / +5% or similar |
| Incentive (the inverse) | A credit applied for PF above 0.95, sometimes up to 0.99. | −1% to −3% of demand |
The fourth row is worth checking before assuming the only outcome is a penalty. Some tariffs pay a credit for power factor above 0.95, which changes the economics of over-correction in the opposite direction.
A worked example
Take a plant with 500 kW maximum demand, operating at 0.75 power factor, on a tariff that charges $12 per kVA of billed demand and applies no separate reactive charge.
| Present (0.75) | After correction (0.95) | Difference | |
|---|---|---|---|
| Maximum demand | 500 kW | 500 kW | — |
| Power factor | 0.75 | 0.95 | +0.20 |
| Billed demand | 667 kVA | 526 kVA | −141 kVA |
| Monthly demand charge | $8,004 | $6,312 | −$1,692 |
| Annual saving | $20,304 | ||
| Compensation required | 277 kVAR |
At roughly $25–45 per kVAR installed for a conventional capacitor bank, the 277 kVAR installation costs somewhere between $7,000 and $12,000 and pays back in under eight months. That ratio is why power factor correction is usually the first project approved in an energy audit.
If the plant also has a reactive demand charge of $1.50 per kVAR above 50% of kW, the saving roughly doubles.
Sizing the compensation
The capacitor rating is not the difference between present and target kVAR measured directly — it is the difference between the tangents of the two power factor angles, multiplied by real power.
# P = real power (kW)
# φ1 = acos(present PF), φ2 = acos(target PF)
# 500 kW, 0.75 → 0.95
tan(acos 0.75) = 0.8819
tan(acos 0.95) = 0.3287
Qc = 500 × (0.8819 − 0.3287) = 277 kVAR
Two corrections are almost always needed on top of the calculation. First, size against the maximum demand that will actually occur, not the annual average, because the penalty is applied at peak. Second, if harmonic distortion is present, add a detuning reactor and recalculate at the detuned voltage — a 7% reactor reduces the effective capacitor output by roughly 7%.
Use the kVAR calculator to run the numbers for your own figures.
Four traps that make the correction fail
- Correcting to 0.99 or above. At light load the plant can go leading, which some tariffs penalise and which can cause voltage rise. Target 0.95–0.98.
- Ignoring harmonics. A capacitor bank on a network with significant distortion can enter resonance and fail within months. Check the resonance order before specifying.
- Sizing on annual averages. The penalty is triggered by the peak billing demand, so average load data systematically under-sizes the bank.
- Step control that is too coarse. A single fixed bank cannot track a plant whose load swings between 20% and 100%. Automatic step control, or a static var generator, is needed in that case.
True versus displacement power factor
This distinction catches out plants that installed drives. Displacement power factor looks only at the phase shift between fundamental voltage and current. True power factor includes distortion, and a six-pulse rectifier can have a displacement factor near 0.98 while its true power factor sits at 0.70.
The practical consequence: if the utility meters true power factor, capacitors will not fix the shortfall, because capacitors cannot correct distortion. In that case the correct answer is filtration or an active front end, and a capacitor bank may make the situation worse.
Working out whether correction still pays?
Send us the last three utility invoices and the single-line diagram. We will identify which billing structure applies and model the payback before you commit to hardware.