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Calculate kW for Three Phase Power

Three Phase Power Formula:

\[ P_{kW} = \frac{V \times I \times PF \times \sqrt{3}}{1000} \]

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1. What is Three Phase Power Calculation?

Definition: This calculator computes the real power (in kilowatts) in a three-phase electrical system based on voltage, current, and power factor.

Purpose: It helps electrical engineers, technicians, and electricians determine the actual power consumption in three-phase systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{kW} = \frac{V \times I \times PF \times \sqrt{3}}{1000} \]

Where:

Explanation: The formula accounts for all three phases in the system and converts the result to kilowatts.

3. Importance of Three Phase Power Calculation

Details: Accurate power calculation is essential for proper equipment sizing, energy efficiency analysis, and electrical system design.

4. Using the Calculator

Tips: Enter the line-to-line voltage in volts, current in amps, and power factor (default 0.8). All values must be > 0, with PF between 0 and 1.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between line-to-line and line-to-neutral voltage?
A: Line-to-line is between any two phases (higher), while line-to-neutral is between a phase and neutral. This calculator uses line-to-line voltage.

Q2: What is a typical power factor value?
A: Motors typically have PF of 0.8-0.9, while purely resistive loads have PF of 1.0.

Q3: Why do we multiply by √3?
A: The √3 factor accounts for the phase difference in three-phase systems (120° between phases).

Q4: How does this differ from single-phase power calculation?
A: Single-phase uses P=VI×PF, without the √3 factor, as there's only one phase.

Q5: Can I calculate current if I know the power?
A: Yes, rearrange the formula: I = P × 1000 / (V × PF × √3).

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