Calculate Phase Voltage From Line

Phase Voltage Formula:

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

Phase Voltage (V_phase):

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1. What is Phase Voltage Calculation?

The phase voltage calculation converts line voltage (also known as line-to-line voltage) to phase voltage in a balanced three-phase electrical system. This is a fundamental calculation in electrical engineering for understanding and designing three-phase 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)
\( \sqrt{3} \) — Approximately 1.732 (mathematical constant)

Explanation: In a balanced three-phase system, the line voltage is √3 times the phase voltage. This relationship is derived from the trigonometric relationships between the three phases.

3. Importance of Phase Voltage Calculation

Details: Accurate voltage calculation is essential for proper equipment sizing, protection device selection, and ensuring compatibility between different components in a three-phase power system. It helps prevent equipment damage and ensures efficient power distribution.

4. Using the Calculator

Tips: Enter the line voltage in volts. The value must be positive and greater than zero. 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 lines in a three-phase system, while phase voltage is the voltage between any line and the neutral point.

Q2: When is this calculation applicable?
A: This calculation applies to balanced three-phase systems, typically in star (wye) configurations where the relationship V_line = √3 × V_phase holds true.

Q3: Does this work for delta configurations?
A: In delta configurations, the line voltage equals the phase voltage, so this calculation would not apply.

Q4: What is the typical application of this calculation?
A: This is commonly used in power system design, motor calculations, transformer sizing, and electrical system analysis.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for ideal balanced three-phase systems. In real-world applications, slight variations may occur due to system imbalances.