Three Phase Power Calculator

Three Phase Power Formula:

\[ P = \sqrt{3} \times V_{line} \times I_{line} \times PF \]

Power (P):

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1. What is Three Phase Power?

Three phase power is a common method of alternating current electric power generation, transmission, and distribution. It is used for power delivery in industrial and commercial applications due to its efficiency and ability to provide constant power.

2. How Does the Calculator Work?

The calculator uses the three phase power formula:

\[ P = \sqrt{3} \times V_{line} \times I_{line} \times PF \]

Where:

\( P \) — Power in watts (W)
\( V_{line} \) — Line voltage in volts (V)
\( I_{line} \) — Line current in amperes (A)
\( PF \) — Power factor (unitless, range 0-1)
\( \sqrt{3} \) — Mathematical constant (approximately 1.732)

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

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 electrical safety compliance in industrial and commercial 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 valid (voltage > 0, current > 0, power factor between 0-1).

5. Frequently Asked Questions (FAQ)

Q1: What is line voltage in three phase systems?
A: Line voltage (also called phase-to-phase voltage) is the voltage measured between any two of the three phases in a three-phase system.

Q2: What is power factor and why is it important?
A: Power factor is the ratio of real power to apparent power, representing the efficiency of power usage. Low power factor indicates poor electrical efficiency.

Q3: When is this formula used?
A: This formula is used for balanced three-phase systems to calculate real power consumption in motors, generators, transformers, and other three-phase equipment.

Q4: What is the difference between line and phase values?
A: In three-phase systems, line values are measured between phases, while phase values are measured between phase and neutral. Line voltage = √3 × phase voltage in star connection.

Q5: Can this calculator be used for single-phase systems?
A: No, this calculator is specifically for three-phase systems. Single-phase power calculation uses P = V × I × PF without the √3 factor.