Amps to kVA Calculator

Single-phase amps to kVA calculation formula
The formula for calculating the apparent power (S) in kilovolt-amps (kVA) in a single-phase system is straightforward. It is based on the relationship between current (I) in amps, and voltage (V) in volts:

$$S(\text{kVA}) = \frac{I(\text{A}) \times V(\text{V})}{1000}$$

In this formula:

• I represents the current in Amps.
• V is the voltage in Volts.
• The division by 1000 converts the result from volt-amps (VA) to kilovolt-amps (kVA), as 1 kVA equals 1000 VA.

This formula is used for single-phase circuits where the current and voltage are in phase.

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3-phase amps to kVA calculation formula (Line to Line Voltage)
In a three-phase system, the calculation is different because the power distribution involves three phases. When calculating kVA using line-to-line voltage (VL-L), the formula incorporates the square root of 3 (√3), which reflects the relationship between line-to-line and phase voltages in a three-phase system:

$$S(\text{kVA}) = \frac{\sqrt{3} \times I(\text{A}) \times V_{L-L}(\text{V})}{1000}$$

Here:

• I is the current in Amps.
• V_{L-L} is the line-to-line RMS voltage in Volts.
• The square root of 3 (approximately 1.732) accounts for the phase shift in a three-phase system.

This formula applies to systems where you are working with line-to-line voltage values.

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3-phase amps to kVA calculation formula (Line to Neutral Voltage)
If you are using line-to-neutral voltage (VL-N) in a three-phase system, the formula changes slightly. Instead of using √3, the formula multiplies by 3, because in this case, the total power is the sum of power in each of the three phases:

$$S(\text{kVA}) = \frac{3 \times I(\text{A}) \times V_{L-N}(\text{V})}{1000}$$

In this formula:

• I is the current in Amps.
• V_{L-N} is the line-to-neutral voltage in Volts.
• The factor of 3 represents the three phases of the system.

This formula is useful when the voltage between each phase and neutral is known.