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Three Phase Motor Power Calculation Formula

Three Phase Power Formula:

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

V
A
(dimensionless)

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1. What is the Three Phase Motor Power Formula?

The three phase power formula calculates the electrical power in a three-phase system using voltage, current, and power factor. It is essential for determining the power consumption and efficiency of three-phase motors and electrical systems.

2. How Does the Calculator Work?

The calculator uses the three phase power formula:

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

Where:

Explanation: The formula accounts for the phase relationship in three-phase systems, where the √3 factor converts line-to-line voltage to phase voltage in balanced systems.

3. Importance of Power Calculation

Details: Accurate power calculation is crucial for sizing electrical equipment, determining energy consumption, assessing system efficiency, and ensuring proper motor selection for industrial applications.

4. Using the Calculator

Tips: Enter line voltage in volts, line current in amperes, and power factor (between 0 and 1). All values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is power factor and why is it important?
A: Power factor represents the ratio of real power to apparent power. It indicates how effectively electrical power is being used, with values closer to 1 indicating better efficiency.

Q2: Is this formula for line or phase values?
A: This formula uses line voltage and line current values, which are the measurable quantities between any two phases in a three-phase system.

Q3: What is a typical power factor for motors?
A: Induction motors typically have power factors between 0.8-0.9 at full load, which decreases at lighter loads. Synchronous motors can maintain unity power factor (1.0).

Q4: Can this formula be used for unbalanced systems?
A: This formula assumes a balanced three-phase system. For unbalanced systems, power must be calculated for each phase separately and summed.

Q5: How does this differ from single-phase power calculation?
A: Single-phase power is calculated as P = V × I × PF, without the √3 factor. Three-phase systems deliver more power with less conductor material compared to single-phase.

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