kW to Amps Calculator [ I=Px1000/CosφxV ]

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kW to Amps Calculator

To convert kilowatts (kW) to Amps (A) to , you need to know the active power rating, voltage rating and power factor (PF). Use these formulas for quick conversions from kilowatts to amps. Here are the formulas:

kW to Amps Formulas

1. DC Formula : : The formula to convert Amps to kW in a DC system is:
   \[ \text{I} = \frac{\text{P} \times \text{1000}} {\text{V}} \]
2. Single Phase: : The formula to convert Amps to kW in a single phase system is:
   \[ \text{I} = \frac{\text{P} \times \text{1000}} {\text{Cosφ} \times \text{V}} \]
3. Three Phase: The formula to convert Amps to kW in a three phase system is:
   • Calculation with line to line voltage
   \[ \text{I} = \frac{\text{P} \times \text{1000}}{\sqrt{3} \times \text{Cosφ} \times \text{U}} \]
   • Calculation with line to neutral voltage
   \[ \text{I} = \frac{\text{P} \times \text{1000}}{3 \times \text{Cosφ} \times \text{U}} \]

Unit of Measurement:

International System of Units - \( P \): Active Power is measured in kilowatt (kW).
- \(√3\): 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.
- \(V\): is the rms voltage in volt (V) represents the line-to-neutral voltage.
- \(U\): is the rms voltage in volt represents the line to line voltage
- \(I\): is the rms current in amps represents the line current in the system.
- \(1000\): Factor to convert W to kW. (1000W = 1kW)
- \(Cosφ\) = \(PF\): Power Factor

Practical Examples

• Example 1 For DC :- Let’s say, we have an electronic device with a power 0.36kw and operates at 24 volts (V).
\[\text{I} = \frac{\text{0.36} \times \text{1000}}{\text{24}} = 15 \text{ A } \]
• Example 2 For Sigle Phase:- Let’s say, we have an electrical device with a power 6.528 kW, power facetor 0.85 and operates at 240 volts (V) in sigle phase.
\[\text{I} = \frac{\text{6.528} \times \text{1000} \times \text{0.85}}{\text{240}} = 32 \text{ A } \]
• Example 3 For Three Phase:- Let’s say, we have an electrical device with a power 58.89 kW, power facetor 0.85 and operates at 400 volts (V) line to line voltage in three phase . \[\text{I} = \frac{\text{58.89} \times \text{1000}}{\sqrt{3} \times \text{0.85} \times \text{400}} = 100 \text{ A } \]

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