Amps to kW Calculator [ P=VICosφ/1000 ]

Related Posts

Calculate Box

DC AC - Single Phase AC - Three Phase

A

Line to line voltage Line to neutral voltage

V

kW

---

Amps to kW Calculator

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

Amps to kW Formula

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

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. (1kW = 1000W)
- \(Cosφ\) = \(PF\): Power Factor

Practical Examples

• DC :- Lets' say, we have a power supply for LED lighting it's current rating 33.3 Amps and operate on voltage 12 volts.
  \[\text{P} = \frac{33.3 \times 12}{1000} = 0.3995\text{ kW} \approx \text{0.40} \text{ kW} \]
• Single Phase :- Lets' say, we have a water pump it's nameplate show that max current rating 5 Amps and operate on voltage 230 volts power factor 0.85.
  \[\text{P} = \frac{5\times 230\times \text{0.85}}{1000} = 0.9774\text{ kW} \approx \text{0.98} \text{ kW} \]
• Three Phase :- Lets' say, we have a three phase motor it's nameplate show that max current rating 90 Amps and operate on voltage 400 volts power factor 0.85.
  \[\text{P} = \frac{90\times 400\times \text{0.85}}{1000} = 53\text{ kW} \]

Keywords:Amps to kW Amps to kW calculator convert Amps to kW Amps to kW formula Amps to kW conversion how to convert Amps to kW Amps to kW single phase Amps to kW three phase electrical power conversion Amps to kW chart Amps to kW calculation how to calculate kW from Amps and voltage Amps to kW conversion calculator for 3 phase online Amps to kW calculator free easy formula to convert Amps to kW Amps to kW calculator with power factor