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Formula for 3 Phase Power

3-Phase Power Formula:

\[ P = \sqrt{3} \times V \times I \times PF \]

volts
amperes
(0 to 1)

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1. What is 3-Phase Power?

Three-phase power is a common method of alternating-current electric power generation, transmission, and distribution. It is more efficient than single-phase power for large loads and industrial applications.

2. How Does the Calculator Work?

The calculator uses the 3-phase power formula:

\[ P = \sqrt{3} \times V \times I \times PF \]

Where:

Explanation: The formula calculates the real power in a balanced three-phase system, accounting for the phase difference between voltage and current through the power factor.

3. Importance of Power Factor

Details: Power factor represents the ratio of real power flowing to the load to the apparent power. A higher power factor (closer to 1) indicates more efficient power usage, while lower power factors may incur penalties from utilities.

4. Using the Calculator

Tips: Enter line-to-line voltage in volts, current in amperes, and power factor (between 0 and 1). All values must be valid (voltage > 0, current > 0, 0 ≤ PF ≤ 1).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between line-to-line and line-to-neutral voltage?
A: In 3-phase systems, line-to-line voltage is between any two phases, while line-to-neutral is between a phase and neutral. Line-to-line is √3 times line-to-neutral.

Q2: What is a typical power factor value?
A: Industrial loads typically range from 0.7 to 0.9. Resistive loads have PF=1, while inductive loads (motors) have lower PF.

Q3: Can this formula be used for unbalanced loads?
A: No, this formula assumes a balanced 3-phase system. Unbalanced systems require more complex calculations.

Q4: How does 3-phase power compare to single-phase?
A: 3-phase provides more power with less conductor material and has constant power delivery (no power pulsations).

Q5: What is the significance of √3 in the formula?
A: The √3 factor accounts for the 120° phase difference between the three phases in a balanced system.

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