AC Three-Phase Amps to Kilowatts Calculator
Result:
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Amps to kW Converter (AC Three-Phase)
Amps to kW calculator for three-phase AC: required for the calculation of power in kilowatts from amps in a three-phase electrical circuit. It comes in handy for electricians and engineers working on large electrical systems as they would be able to estimate the power usage and size the electrical components appropriately, thus ensuring good operation of the said system.
You can convert amps to kw (AC three phase using the following formulas .
AC Three-Phase Amps to Kilowatts Conversion
Calculation with Line-to-Line Voltage
For an AC three-phase system using line-to-line voltage \(V_{\text{L-L}}\):
\[ P(\text{kW}) = \frac{\sqrt{3} \times \text{PF} \times I(\text{A}) \times V_{\text{L-L}} (\text{V})}{1000} \]
Where:
- \( P(\text{kW}) \) = Power in kilowatts
- \( \text{PF} \) = Power Factor (a value between 0 and 1)
- \( I(\text{A}) \) = Phase current in amps
- \( V_{\text{L-L}} (\text{V}) \) = Line-to-line RMS voltage in volts
- \( \sqrt{3} \) ≈ 1.732 (used in three-phase calculations)
Calculation with Line-to-Neutral Voltage
For an AC three-phase system using line-to-neutral voltage \(V_{\text{L-N}}\):
\[ P(\text{kW}) = \frac{3 \times \text{PF} \times I(\text{A}) \times V_{\text{L-N}} (\text{V})}{1000} \]
Where:
- \( P(\text{kW}) \) = Power in kilowatts
- \( \text{PF} \) = Power Factor (a value between 0 and 1)
- \( I(\text{A}) \) = Phase current in amps
- \( V_{\text{L-N}} (\text{V}) \) = Line-to-neutral RMS voltage in volts
Example Calculation
If the current is 20 amps, the power factor is 0.9, and:
- Using line-to-line voltage of 400V:
- Using line-to-neutral voltage of 230V:
\[ P(\text{kW}) = \frac{\sqrt{3} \times 0.9 \times 20 \times 400}{1000} = 12.46 \text{ kW} \]
\[ P(\text{kW}) = \frac{3 \times 0.9 \times 20 \times 230}{1000} = 12.42 \text{ kW} \]
Why You Need an Amps to kW Calculator
This calculator is very useful in the change of amps to kW. Saving time and minimizing the possibilities of errors while doing this calculation, especially when dealing with complicated electrical systems, will be the result of using it during the installation and maintenance of the motor or transformer. Its usefulness also lies in estimating the usage of energy, electrical billing, and in the choice of components that are to be integrated into your system.
How to use Amps to kW Calculator (AC three phase)
- Enter the phase current (amps).
- Select the voltage type (line-to-line or line-to-neutral).
- Input the RMS voltage (volts).
- Add the power factor (between 0 and 1).
- Click “Calculate” to get power in kilowatts (kW).
- View the result in kilowatts (kW).