VA to kW calculator

The VA (Volt-Amps) to kW (Kilowatts) calculator is a simple and effective tool for converting apparent power (VA) into real power (kW). This calculation is essential for understanding electrical systems and ensuring equipment functions correctly. Below, we explain the basic concepts, the formula used, and why this tool is helpful for various users.

What Are VA and kW?

• VA (Volt-Amperes): Apparent power in an electrical system. It represents the total power supplied, including both useful and wasted energy.
• kW (Kilowatts): Real power in an electrical system. It is the actual energy consumed or used by devices.

The difference arises from the power factor (PF), which accounts for inefficiencies in the system.

Formulas for Single-Phase and Three-Phase Systems

1. Single-Phase Formula:
   \[
   \text{kW} = \frac{\text{VA} \times \text{Power Factor (PF)}}{1000}
   \]
2. Three-Phase Formula:
   \[
   \text{kW} = \frac{\text{VA} \times \text{Power Factor (PF)} \times \sqrt{3}}{1000}
   \]

In three-phase systems, the factor
\[
\sqrt{3}
\]
accounts for the relationship between line voltage and phase voltage.

Example Calculations

Single-Phase Example

• Input: 2000 VA, Power Factor = 0.8
• Calculation:
  \[
  \text{kW} = \frac{2000 \times 0.8}{1000} = 1.6 \, \text{kW}
  \]

The device requires 1.6 kW of real power to operate.

Three-Phase Example

• Input: 3000 VA, Power Factor = 0.9
• Calculation:
  \[
  \text{kW} = \frac{3000 \times 0.9 \times \sqrt{3}}{1000} = 4.67 \, \text{kW}
  \]

The system needs 4.67 kW of real power.