Star Connected Three-Phase Line Voltage Simulation

Star (Y) Connected Three-Phase System

Interactive demonstration of Phase Voltage, Line Voltage and the √3 relationship
230 V
2 Hz

1. Star Connection Diagram

2. Three-Phase Waveforms

3. Voltage Results

Phase Voltage
230 V
Calculated Line Voltage
398.4 V
VAB Magnitude
398.4 V
Line/Phase Ratio
1.732
VL = √3 × Vph

What the Simulation Demonstrates

In a balanced star-connected three-phase system, the three phase voltages are separated by 120°. The voltage between two line conductors is obtained from the vector difference of the two corresponding phase voltages.

For example, when Vph = 230 V:

VL = √3 × 230 = 398.4 V

The simulation also shows that the line voltage VAB is shifted by approximately 30° relative to phase voltage VAN for the positive/ABC phase sequence.

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