Formula & Calculator
kVA to kW Conversion
Converts apparent power in kVA to real power in kW using the power factor.
Variables
| Symbol | Quantity | Unit |
|---|---|---|
| kW | Real power | kW |
| kVA | Apparent power | kVA |
| cos θ | Power factor | dimensionless |
What it means
The conversion from apparent power (kVA) to real power (kW) is given by kW = kVA × cosθ, where cosθ is the power factor. This conversion is essential for sizing electrical equipment and for understanding the actual power consumed. For a purely resistive load, cosθ=1, so kW = kVA. For inductive loads (motors, transformers), the power factor is less than 1. Example: A 10 kVA generator with a load having a power factor of 0.8 can deliver 10 × 0.8 = 8 kW of real power. The remaining 2 kVA is reactive power. This relationship is used to determine the required kVA rating for a given kW load.
Worked example
kVA to kW – Practical Example
Real‑World| Parameter | Value |
|---|---|
| kVA | 10 |
| cos θ | 0.8 |
| Formula | kW = kVA × cos θ |
Common mistakes
Watch for unit mismatches (W vs kW, single- vs three-phase) and remember to include power factor or efficiency where the formula requires it.Applications
kVA to kW conversion kW = kVA × cosθ converts apparent power to real power. This is used to calculate the actual useful power from a transformer or generator rating. Engineers use it to size equipment, to manage power factor, and to avoid overloading. This conversion is common in power system design.
- Transformer and generator sizing for real power
- Power factor and load management
- Electrical installation design and capacity planning
- Energy efficiency analysis
- Educational understanding of power factor