Kilowatts (kW) to Kilovolt-Amps (kVA) Calculator

Convert Kilowatts (kW) to Kilovolt-Amps (kVA)

How to Convert Kilowatts (kW) to Kilovolt-Amps (kVA)

Converting kilowatts (kW) to kilovolt-amps (kVA) is a fundamental calculation in electrical engineering and power systems analysis. This conversion is essential for understanding the relationship between real power (kW) and apparent power (kVA) in electrical systems.

Conversion Formula

The formula to convert kW to kVA is:

\[kVA = \frac{kW}{PF}\]

Where:

  • kVA is the apparent power in kilovolt-amperes
  • kW is the real power in kilowatts
  • PF is the power factor (a value between 0 and 1)

Calculation Steps

  1. Determine the real power in kilowatts (kW)
  2. Identify the power factor of the system
  3. Divide the kW value by the power factor
  4. The result is the apparent power in kVA

Example Calculation

Let's convert 100 kW to kVA with a power factor of 0.8:

  1. Identify the given values: \[kW = 100\] \[PF = 0.8\]
  2. Apply the formula: \[kVA = \frac{kW}{PF} = \frac{100}{0.8} = 125\]

Therefore, 100 kW with a power factor of 0.8 is equal to 125 kVA.

Calculation Visualization

kW kVA 100 kW 125 kVA kW to kVA Comparison

This bar chart visually compares the input real power (100 kW) and the resulting apparent power (125 kVA) from our example calculation. The height of each bar is proportional to its value, illustrating the relationship between kW and kVA in electrical systems. Note that the kVA value is always greater than or equal to the kW value, as apparent power accounts for both real and reactive power in the system.

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