Power factor to kVA per 100 kW
Type a value in cos φ to get it in kVA instantly.
125kVA
That's 1.14× as good as a half-loaded motor, while a fully loaded motor is 1.06× better. A 100 kW load at that factor draws 125 kVA.
What it means
How much is wasted?
This is displacement power factor, for clean sine waves. Electronic loads add harmonics, and their true power factor is worse than the phase angle suggests.
The math
How to convert cos φ to kVA
Power factor is the cosine of the phase angle: PF = cos φ, so φ = arccos(PF) and tan φ = √(1 − PF²) ÷ PF. Apparent power is kW ÷ PF.
Example: 0.8 cos φ = 125 kVA.
Every unit
Your power factor in every unit
Tables
cos φ to kVA conversion table
| cos φ | kVA |
|---|---|
| 0.2 cos φ | 500 kVA |
| 0.4 cos φ | 250 kVA |
| 0.5 cos φ | 200 kVA |
| 0.6 cos φ | 166.667 kVA |
| 0.7 cos φ | 142.857 kVA |
| 0.8 cos φ | 125 kVA |
| 0.85 cos φ | 117.647 kVA |
| 0.9 cos φ | 111.111 kVA |
| 0.95 cos φ | 105.263 kVA |
| 0.99 cos φ | 101.01 kVA |
| 1 cos φ | 100 kVA |
kVA to cos φ conversion table
| kVA | cos φ |
|---|---|
| 100 kVA | 1 cos φ |
| 101 kVA | 0.990099 cos φ |
| 105 kVA | 0.952381 cos φ |
| 111 kVA | 0.900901 cos φ |
| 118 kVA | 0.847458 cos φ |
| 125 kVA | 0.8 cos φ |
| 143 kVA | 0.699301 cos φ |
| 167 kVA | 0.598802 cos φ |
| 200 kVA | 0.5 cos φ |
| 250 kVA | 0.4 cos φ |
| 500 kVA | 0.2 cos φ |
Quick answers
Quick answers
- How many kVA is 1 cos φ?
- 1 cos φ is 100 kVA.
- How many kVA is 10 cos φ?
- 10 cos φ is 10 kVA.
- How many kVA is 0.8 cos φ?
- 0.8 cos φ is 125 kVA.
The units
About these units
Power factor (cos φ)
The ratio of real power to apparent power.
kVA per 100 kW (kVA)
The apparent power a 100 kW load would draw.
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