Home Back

Power Formula For 3 Phase

Three-phase Power Formula:

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

V
A
(0-1)

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Three-phase Power Formula?

The three-phase power formula calculates the total power in a balanced three-phase electrical system. It is widely used in industrial and commercial electrical systems for accurate power measurement and system design.

2. How Does the Calculator Work?

The calculator uses the three-phase power formula:

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

Where:

Explanation: The formula accounts for the phase relationship in three-phase systems, where √3 represents the relationship between line and phase quantities in balanced systems.

3. Importance of Three-phase Power Calculation

Details: Accurate three-phase power calculation is essential for electrical system design, load balancing, equipment sizing, energy management, and power quality analysis in 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, with power factor typically ranging from 0.8 to 1.0 for efficient systems.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between line voltage and phase voltage?
A: Line voltage is the voltage between any two lines, while phase voltage is between any line and neutral. In star connection, line voltage = √3 × phase voltage.

Q2: Why is power factor important in three-phase systems?
A: Power factor indicates the efficiency of power usage. Low power factor results in higher current for the same power, increasing losses and requiring larger conductors.

Q3: When should this formula be used?
A: This formula applies to balanced three-phase systems with sinusoidal waveforms. For unbalanced systems, individual phase calculations are needed.

Q4: What are typical power factor values?
A: Industrial systems: 0.8-0.95, commercial buildings: 0.85-0.95, residential: 0.9-1.0. Power factor correction may be needed below 0.9.

Q5: Can this formula be used for reactive power calculation?
A: No, this calculates active power. For reactive power, use Q = √3 × V × I × sinφ, and for apparent power, use S = √3 × V × I.

Power Formula For 3 Phase Calculator© - All Rights Reserved 2025