Three-phase voltage drop
Cable Sizing · Lesson 14 · Intermediate
Purpose
Calculate balanced three-phase voltage drop using the three-phase table column and declared power-factor basis.
Learning objectives
- Select three-phase data
- Avoid duplicate root-three factors
- Handle r/x data
- Check line voltage
Three-phase table coefficients normally embody the stated balanced line-to-line relationship. Adding another √3 to a combined mV/A/m coefficient can double-count it.
Core theory
When using a combined three-phase mV/A/m column, follow its formula directly. When using separate r and x components, apply the current Appendix 4 expression with load power factor and phase convention.
Unbalanced loads, neutral drop and triplen harmonics are not proven by a balanced line-voltage calculation. Assess the actual conductor loading and load type.
Motor starting and large step loads may produce a temporary voltage depression far greater than the steady-state result; coordinate with starting method, source impedance and equipment limits.
| Term | Meaning | Symbol | Unit |
|---|---|---|---|
| Line voltage | Voltage between phase conductors | UL | V |
| Balanced load | Equal phase impedances/currents at the stated power factor | Not applicable | Not applicable |
| Power factor | Active-to-apparent power ratio for the load case | PF | Not applicable |
Assumptions: Coefficient already embodies the table's three-phase relationship; Balanced steady load.
- Calculate: ΔV = 1.6×80×55/1000 = 7.04 V.
- Percent: On 400 V, 100×7.04/400 = 1.76%.
- Do not duplicate: No extra √3 is inserted into this combined-coefficient method.
Illustrative line-voltage drop is 7.04 V or 1.76% of 400 V.
Reasonableness check: The table coefficient is already smaller than comparable single-phase values.
- Adding √3 twice
- Using a single-phase column
- Ignoring starting voltage depression
Where this appears in practice
Three-phase feeders, motors and distribution boards need steady-state and sometimes transient assessment.
Knowledge check
When is an extra √3 inappropriate?
When the selected combined three-phase mV/A/m coefficient already includes the relationship. Follow the exact table formula.
Answer: When the selected combined three-phase mV/A/m coefficient already includes the relationship. Follow the exact table formula.
Practical exercise
Compare a combined-coefficient result with a supplied r/x and power-factor calculation on the same declared basis.
Summary
- Use the three-phase column
- Do not double-count √3
- Balanced steady drop has limits
Sources and review
- BS 7671:2018+A4:2026 Requirements for Electrical Installations: IET/BSI; Current edition and corrigenda must be confirmed; United Kingdom
- Earthing and Bonding FAQs: SWA armour as CPC: IET; Current online guidance; United Kingdom
- Avoiding danger from underground services (HSG47): Health and Safety Executive; Third edition; Great Britain
Editorial review date: 2026-08-22. Professional electrical review is pending.