Phase Voltage Calculator

Phase Voltage Formula:

\[ V_{phase} = \frac{V_{line}}{\sqrt{3}} \]

Phase Voltage (V_phase):

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1. What Is Phase Voltage?

Phase voltage refers to the voltage measured between any one phase and the neutral point in a three-phase electrical system. It is a fundamental parameter in electrical engineering for analyzing and designing AC power systems.

2. How Does The Calculator Work?

The calculator uses the phase voltage formula:

\[ V_{phase} = \frac{V_{line}}{\sqrt{3}} \]

Where:

\( V_{phase} \) — Phase voltage (volts)
\( V_{line} \) — Line voltage (volts)
\( \sqrt{3} \) — Mathematical constant (approximately 1.732)

Explanation: This formula converts line voltage (voltage between any two phases) to phase voltage in a balanced three-phase system.

3. Importance Of Phase Voltage Calculation

Details: Accurate phase voltage calculation is essential for proper equipment sizing, protection device coordination, and ensuring electrical system safety and efficiency in three-phase power systems.

4. Using The Calculator

Tips: Enter line voltage in volts. The value must be valid (greater than 0). The calculator will automatically compute the corresponding phase voltage.

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 phases, while phase voltage is the voltage between any phase and the neutral point in a three-phase system.

Q2: When is this calculation most commonly used?
A: This calculation is essential in three-phase power systems for transformer design, motor operations, and electrical distribution system analysis.

Q3: Does this formula work for both star and delta connections?
A: This specific formula applies to star (wye) connections. For delta connections, phase voltage equals line voltage.

Q4: What are typical values for three-phase systems?
A: Common three-phase systems include 208V/120V, 480V/277V, and 400V/230V configurations (line voltage/phase voltage).

Q5: Why is the square root of 3 used in this calculation?
A: The square root of 3 (approximately 1.732) comes from the trigonometric relationships in a balanced three-phase system where phases are 120 degrees apart.