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To convert between Amps (A) and kilovolt-amperes (kVA) , you need to know the voltage rating and current rating . Use these formulas for quick conversions from amps to kVA. Here are the formulas:
Amps to kVA Formulas
- Single Phase :
For single-phase systems, you can use the following formula:
-
\[
\text{S} = \frac{\text{V} \times \text{I}}{1000}
\]
- Three Phase: For three-phase systems, the formula is slightly different due to the √3 (square root of 3) factor in three-phase power calculations. The formula is:
- Calculation with Line to line voltage \[ \text{S} = \frac{\sqrt{3} \times \text{U} \times \text{I}}{1000} \]
- Calculation with Line to neutral voltage \[ \text{S} = \frac{\text{3} \times \text{U} \times \text{I}}{1000} \]
Unit of Measurement:
International System of Units
- \( S \): Apparent Power in kilovolt-amperes (kVA).
- \( V \): RMS Voltage in volt (V) represents the L-N voltage.
- \( √3 \): This factor (approximately 1.732) accounts for the relationship between line voltage and phase voltage in a three phase system. It ensures that the calculation correctly reflects the distribution of power among the three phases.
- \( U \): RMS Voltage in volt represents the L-L voltage.
- \( I \): RMS Current in amperes (A)
- \( 1000 \): The Factor to convert VA to kVA. (1000 VA = 1 kVA )
- \( V \): RMS Voltage in volt (V) represents the L-N voltage.
- \( √3 \): This factor (approximately 1.732) accounts for the relationship between line voltage and phase voltage in a three phase system. It ensures that the calculation correctly reflects the distribution of power among the three phases.
- \( U \): RMS Voltage in volt represents the L-L voltage.
- \( I \): RMS Current in amperes (A)
- \( 1000 \): The Factor to convert VA to kVA. (1000 VA = 1 kVA )
Practical Examples
- Single Phase Example :- Let’s say we have a single phase generator with a max current 65.22 Amps (A) and operates at 230 volts (V).
\[ \text{S} = \frac{230 \times 65.22}{1000} = \text{15} \text{ kVA} \]
- Three Phase Example :- Let’s say we have a three phase generator with a max current 350 Amps (A) and operates at 400 volts (V).
\[ \text{S} = \frac{\text{√3} \times \text{400} \times \text{350}}{1000} = \text{242.487} \text{ kVA} \]
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