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To convert between kilovolt-amps (kVA) and Amperes (A) , you need to know the apparent power rating and voltage rating . Use these formulas for quick conversions from kVA to Amps. Here are the formulas:
kVA to Amps Formulas
- Single Phase: :
The formula to convert kVA to amperes in a single-phase system is:
-
\[
\text{I} = \frac{\text{S} \times 1000}{\text{V}}
\]
- Three Phase: The formula to convert kVA to amperes in a three-phase system is:
- Calculation with line to line voltage \[ \text{I} = \frac{\text{S} \times 1000}{\sqrt{3} \times \text{U}} \]
- Calculation with line to neutral voltage \[ \text{I} = \frac{\text{S} \times 1000}{\text{3} \times \text{V}} \]
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 apparent power rating 15 kilovolts amps (kVA) and operates at 230 volts (V).
\[ \text{I} = \frac{15 \times 1000}{220} = \text{65.217} \text{A} \]
- 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).
\[ \text{I} = \frac{\text{√3} \times \text{400} \times \text{350}}{1000} = \text{242.487} \text{ kVA} \]
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