Line to Line Voltage Calculator
Calculate line-to-line voltage (VLL) from line-to-neutral voltage (VLN) for three-phase systems.
Formula Used:
VLL = VLN × √3
Note: For balanced three-phase systems with 120° phase angle.
About Line-to-Line Voltage
Line-to-line voltage (VLL) is the voltage between any two of the three phase conductors in a three-phase system. In balanced systems, the line-to-line voltage is √3 (approximately 1.732) times the line-to-neutral voltage (VLN).
Three-Phase Voltage Relationships
- Line-to-Line Voltage (VLL): Voltage between any two phase conductors
- Line-to-Neutral Voltage (VLN): Voltage between any phase conductor and neutral
- Conversion Formula: VLL = VLN × √3 (for balanced systems with 120° phase separation)
Frequently Asked Questions
What is the difference between line-to-line and line-to-neutral voltage?
Line-to-line voltage is measured between any two phase conductors, while line-to-neutral voltage is measured between a phase conductor and the neutral point. In balanced three-phase systems, line-to-line voltage is √3 times higher than line-to-neutral voltage.
Why is the √3 factor used in three-phase calculations?
The √3 factor (approximately 1.732) comes from the trigonometric relationship between the phase voltages in a balanced three-phase system with 120° separation between phases. It represents the vector sum of two phase voltages.
Can I use this calculator for single-phase systems?
No, this calculator is specifically for three-phase systems. In single-phase systems, line-to-line and line-to-neutral voltages have different relationships depending on the system configuration.