Home Back

3 Phase Motor Power Calculation Formula

3 Phase Motor Power Formula:

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

V
A
dimensionless

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the 3 Phase Motor Power Calculation Formula?

The 3 Phase Motor Power Calculation Formula is used to calculate the real power consumed by a three-phase electrical motor. It provides an accurate measurement of power consumption based on voltage, current, and power factor.

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 relationship between voltage and current through the power factor.

3. Importance of Power Calculation

Details: Accurate power calculation is crucial for motor sizing, energy consumption analysis, electrical system design, and determining operational efficiency of three-phase motors.

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 valid positive numbers.

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. A higher power factor means more efficient power usage.

Q2: What is the difference between line voltage and phase voltage?
A: In a three-phase system, line voltage is the voltage between any two lines, while phase voltage is the voltage across each phase winding. For a balanced wye system, line voltage = √3 × phase voltage.

Q3: Can this formula be used for unbalanced three-phase systems?
A: This formula is designed for balanced three-phase systems. For unbalanced systems, power must be calculated for each phase separately and then summed.

Q4: What are typical power factor values 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 operate at unity or leading power factors.

Q5: How does motor efficiency relate to power calculation?
A: The calculated power is the electrical input power. Mechanical output power is input power multiplied by motor efficiency. Efficiency accounts for losses in the motor.

3 Phase Motor Power Calculation Formula© - All Rights Reserved 2025