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3 Phase Power Formula Derivation

3 Phase Power Formula:

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

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1. What is 3 Phase Power Calculation?

Definition: This calculator computes the real power in kilowatts (kW) for a balanced three-phase electrical system.

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

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 the phase difference (120°) between the three phases in a balanced system.

3. Importance of 3 Phase Power Calculation

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

4. Using the Calculator

Tips: Enter the line-to-line voltage in volts, line 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: Why is √3 used in the formula?
A: The √3 factor accounts for the 120° phase difference between the three phases in a balanced system.

Q2: What's a typical power factor value?
A: Motors typically have PF 0.8-0.9, while resistive loads have PF 1.0. The default 0.8 is common for industrial loads.

Q3: Is this formula for line or phase values?
A: This formula uses line-to-line voltage and line current (not phase voltage/current).

Q4: How does this differ from single-phase power?
A: Single-phase uses P = V×I×PF, while three-phase adds the √3 factor for balanced systems.

Q5: What if my system is unbalanced?
A: For unbalanced systems, calculate each phase separately and sum the results.

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