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Formula for Three Phase Power

Three Phase Power Formula:

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

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amps
kW

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1. What is Three Phase Power?

Definition: Three-phase power is a common method of alternating-current power generation, transmission, and distribution.

Purpose: It's more efficient than single-phase power for delivering large amounts of electricity to motors and industrial equipment.

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 calculates real power in a three-phase AC circuit, accounting for the phase difference between voltage and current.

3. Importance of Power Factor

Details: Power factor represents the ratio of real power to apparent power. A higher PF (closer to 1) indicates more efficient power usage.

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 ≤ 1.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between line and phase voltage?
A: Line voltage is between two phases, while phase voltage is between a phase and neutral. Line voltage = √3 × phase voltage.

Q2: What's a typical power factor value?
A: Industrial loads typically range from 0.75-0.95. Resistive loads have PF=1, while inductive loads have lower PF.

Q3: Why divide by 1000 in the formula?
A: This converts the result from watts to kilowatts (1 kW = 1000 W).

Q4: Can I use this for single-phase calculations?
A: No, for single-phase use P = V × I × PF / 1000 (without the √3 factor).

Q5: How does this relate to apparent power (kVA)?
A: Apparent power = V × I × √3 / 1000 (without PF). Real power = apparent power × PF.

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