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GREI guide

The voltage drop of a circuit

A cable that is too long or too thin lowers the voltage at the end of the circuit. The GREI requires the drop to be limited, but gives no figure itself. Here are the values used and the calculation.

What the GREI says

Section 5.2.5 of the GREI only says that voltage drops in wiring systems must be limited to the values described in codes of good practice.

The usual values: 3 % and 5 %

For an installation supplied from the public low-voltage network, codes of good practice use the values of standard HD 60364-5-52 (annex G): 3 % for lighting and 5 % for other uses, between the origin of the installation and the appliance.

These figures are not GREI articles: they are good-practice references, to be cited as such.

The calculation

In single phase, the voltage drop of a circuit is approximately:

ΔU = 2 × L × I × ρ / S

  • L: the cable length, in metres, one way;
  • I: the current, in amperes;
  • S: the cross-section, in mm²;
  • ρ: the resistivity of copper, about 0.0225 Ω·mm²/m in service.

This formula ignores the cable’s reactance, which is very small for small cross-sections.

Example: a 2.5 mm² socket circuit, 25 m long, carrying 16 A. ΔU = 2 × 25 × 16 × 0.0225 / 2.5 = 7.2 V, i.e. 3.1 % of 230 V: below 5 %.

In balanced three phase, the factor 2 becomes √3 and the result is compared with the line-to-line voltage.

With Vonkcad

The voltage drop of every circuit, no calculator needed

  • Voltage drop calculated for every circuit, from its length, cross-section and load
  • Exceeding 3 % or 5 % flagged, with the source cited
  • Simulation on the plan: the voltage drop at a socket
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