kVA to kW Calculator

How to Calculate Kilowatts from Kilovolt-Amperes

Converting kilovolt-amperes (kVA) to kilowatts (kW) is a fundamental calculation in electrical engineering, particularly when dealing with power systems. This conversion helps engineers and technicians understand the relationship between apparent power and real power. Our calculator simplifies this process, but it's important to understand the underlying principles.

Calculation Formula

The formula to calculate kilowatts from kilovolt-amperes is:

\[kW = kVA \times PF\]

Where:

• kW is the real power in kilowatts
• kVA is the apparent power in kilovolt-amperes
• PF is the power factor

Calculation Steps

1. Determine the apparent power in kVA
2. Identify the power factor of the system
3. Apply the formula: multiply kVA by the power factor
4. The result is the real power in kilowatts

Example Calculation

Let's calculate the real power for a system with 100 kVA of apparent power and a power factor of 0.8:

1. Identify the given values: \[kVA = 100\] \[PF = 0.8\]
2. Apply the formula: \[kW = 100 \times 0.8 = 80 \text{ kW}\]

Therefore, in a system with 100 kVA of apparent power and a power factor of 0.8, the real power is 80 kW.

Calculation Visualization

This bar chart visually compares the input apparent power (100 kVA) and the resulting real power (80 kW) from our example calculation. The height of each bar is proportional to its value, illustrating the relationship between apparent and real power in electrical systems.