Three-Phase Voltage Drop Calculations Explained
Master three-phase voltage drop calculations for commercial and industrial applications. Covers balanced loads, line vs phase voltage, and the √3 factor.
Three-Phase Power Fundamentals
Three-phase power is the backbone of commercial and industrial electrical distribution. Unlike single-phase power, three-phase systems use three conductors carrying currents that are 120 degrees out of phase with each other. This configuration provides significant advantages: more efficient power transmission, smaller conductors for equivalent power, and smoother power delivery to motors and other rotating equipment.
Understanding three-phase voltage drop is essential for designing feeders, motor circuits, and distribution systems in commercial and industrial facilities. The calculations differ from single-phase because of the phase relationships between conductors.
The √3 Factor Explained
The key difference in three-phase voltage drop calculations is the use of √3 (approximately 1.732) instead of the factor of 2 used in single-phase calculations. This factor emerges from the vector relationship between the three phases. In a balanced three-phase system, the voltages are equal in magnitude but displaced by 120°.
Three-Phase Voltage Drop Formula
Line vs Phase Voltage
Understanding the relationship between line and phase voltages is critical for three-phase calculations. Line voltage is measured between any two phase conductors, while phase voltage is measured from any phase to neutral.
Wye (Star) Configuration
- • VLine = VPhase × √3
- • ILine = IPhase
- • Common: 208Y/120V, 480Y/277V
- • Neutral available
Delta Configuration
- • VLine = VPhase
- • ILine = IPhase × √3
- • Common: 480V, 240V delta
- • No inherent neutral
Common Three-Phase Systems
| System | Configuration | Line Voltage | Phase Voltage |
|---|---|---|---|
| Small Commercial | 208Y/120V | 208V | 120V |
| Industrial | 480Y/277V | 480V | 277V |
| Heavy Industrial | 480V Delta | 480V | 480V |
| Medium Voltage | 4160V | 4160V | 2400V |
Three-Phase Voltage Drop Calculator
Calculate voltage drop for your three-phase circuits with our professional calculator. Select three-phase mode for automatic application of the √3 factor and accurate results for balanced loads.
Three-Phase Calculator