Volt-Amps (VA) to Kilowatts (kW) Calculator

How to Convert Volt-Amps (VA) to Kilowatts (kW)

Converting volt-amps (VA) to kilowatts (kW) is an essential calculation in electrical engineering and power systems. This conversion helps in determining the actual power consumption, taking into account the power factor. Understanding this relationship is crucial for properly sizing electrical equipment and managing power distribution systems.

Conversion Formula

The formula to convert VA to kW is:

\[kW = \frac{VA \times PF}{1000}\]

Where:

• kW is the power in kilowatts
• VA is the apparent power in volt-amps
• PF is the power factor (a value between 0 and 1)

Calculation Steps

1. Identify the apparent power value in volt-amps (VA)
2. Determine the power factor (PF) of the system
3. Multiply the VA value by the power factor
4. Divide the result by 1000 to convert to kilowatts

Example Calculation

Let's convert 5000 VA to kW with a power factor of 0.8:

1. Identify the given values: \[VA = 5000 \text{ VA}\] \[PF = 0.8\]
2. Apply the formula: \[kW = \frac{VA \times PF}{1000} = \frac{5000 \times 0.8}{1000} = 4 \text{ kW}\]

Therefore, 5000 VA with a power factor of 0.8 is equal to 4 kW.

Calculation Visualization

This bar chart visually compares the input apparent power in volt-amps (5000 VA) and the resulting real power in kilowatts (4 kW) from our example calculation. The height of each bar is proportional to its value, illustrating the relationship between VA and kW when considering the power factor.