Line to Phase Voltage Formula:
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In three-phase systems, line voltage (also called line-to-line voltage) is the voltage between any two phases, while phase voltage is the voltage between any phase and neutral. The relationship between them is fundamental in three-phase power calculations.
The calculator uses the following formula:
Where:
For power calculations: \[ P = \sqrt{3} \times V_{line} \times I \]
Explanation: The √3 factor comes from the 120° phase difference between the three phases in a balanced system.
Details: Understanding the relationship between line and phase voltages is crucial for designing and analyzing three-phase systems, transformer connections, motor specifications, and power distribution networks.
Tips: Enter line voltage in volts. You can optionally enter either power or current to calculate the other value. All values must be positive numbers.
Q1: When is this conversion needed?
A: When working with wye-connected systems where equipment ratings are in phase voltage but you only have line voltage measurements.
Q2: Does this apply to delta connections?
A: In delta connections, line and phase voltages are equal, so no conversion is needed.
Q3: What's the difference between line and phase current?
A: In wye connections, line and phase currents are equal. In delta connections, line current is √3 times phase current.
Q4: How accurate is this calculation?
A: It's mathematically exact for balanced three-phase systems. Real-world systems may have slight imbalances.
Q5: Can I use this for single-phase systems?
A: No, in single-phase systems, line and phase voltages are the same (no √3 factor).