Electrical Engineering
Voltage Drop — Three Phase AC
Calculate voltage drop in three-phase AC cables. Three-phase transport is significantly more efficient than single-phase for the same cable cross-section.
Units:
Three-phase voltage drop uses factor √3 (≈1.732) instead of factor 2, making it more efficient than single-phase for the same conductor size. Maximum voltage drop IEC 60364: 5% from transformer to the furthest point.
Uv = √3 × ρ × L × I × cos(φ) / A
Input
Cable length (one way) iOne-way cable length in metres.
m
Current I iPhase current in Ampères.
A
Conductor cross-section iCross-section of one phase conductor in mm².
mm²
Power factor cos φ iPower factor of the load. Motors typically 0.78–0.92.
Phase voltage (L-N) iPhase-to-neutral voltage (230V in EU). Line voltage = 230×√3 = 400V.
V
Result
Voltage drop (phase) [V]
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Voltage drop (line) [V]
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Percentage drop [%]
—
Residual line voltage [V]
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IEC 60364 assessment
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