3 Phase Transformer Voltage Calculator

3 Phase Transformer Voltage Formula:

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

Line Voltage (V_line):

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1. What is the 3 Phase Transformer Voltage Formula?

The 3 Phase Transformer Voltage formula calculates the line voltage (V_line) from the phase voltage (V_phase) in a three-phase electrical system. This relationship is fundamental in power systems engineering and transformer applications.

2. How Does the Calculator Work?

The calculator uses the 3 Phase Transformer Voltage formula:

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

Where:

\( V_{line} \) — Line voltage (Volts)
\( V_{phase} \) — Phase 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 due to the 120-degree phase difference between phases.

3. Importance of Line Voltage Calculation

Details: Accurate voltage calculation is essential for proper transformer sizing, electrical system design, equipment compatibility, and ensuring safe operation of three-phase power systems.

4. Using the Calculator

Tips: Enter the phase voltage in volts (V). The value must be positive and greater than zero for accurate calculation.

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 (phases), while phase voltage is the voltage between any line and the neutral point.

Q2: When is this calculation most commonly used?
A: This calculation is essential in three-phase power systems, transformer design, industrial electrical systems, and motor applications.

Q3: Does this formula apply to both delta and wye configurations?
A: Yes, the relationship V_line = V_phase × √3 holds true for both delta and wye configurations in balanced three-phase systems.

Q4: What is the typical value of √3 used in calculations?
A: √3 is approximately 1.73205080757, though 1.732 is typically sufficient for most engineering calculations.

Q5: Are there any limitations to this formula?
A: This formula assumes a balanced three-phase system. It may not be accurate for unbalanced systems or systems with significant harmonic distortion.