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Power electrics

Cable sizing: current, voltage drop and coordination with the protection

Calculate the design current of a three-phase, single-phase or DC circuit, the cable voltage drop with resistance at operating temperature and reactance, the minimum section by the drop limit and the Ib ≤ In ≤ Iz coordination with the breaker.

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Cable sizing tool with a 15 kW three-phase motor at 380 V, 50 m of copper cable and the drop by section chart
Circuit and load on the left; voltage drop in % and volts, design current, minimum section and losses on the right. The drop-by-section chart sits just below, in the tool. Real screenshot of the tool with the example on this page.

Where it helps at work

  • Check whether the cable of a motor far from the MCC will deliver enough voltage at start and in operation.
  • Assess a load increase on an existing circuit without changing the cable.
  • Compare copper and aluminium, or parallel cables, for a long feeder.
  • Document the voltage drop check of an installation change.

What you enter

  • System and voltage
  • Load
  • Cable
  • Limits and protection

What you get

  • Design current
  • Voltage drop
  • Minimum section by drop
  • Coordination and losses

Worked example: feeding a 15 kW motor

A 15 kW (shaft) three-phase motor, 380 V, power factor 0.85 and 90 % efficiency, is 50 m from the panel. The planned cable is copper, 6 mm², PVC insulation (conductor at 70 °C), with 0.08 mΩ/m reactance. The maximum drop allowed in the circuit is 4 %. Does the cable meet it?

Data
SystemThree-phase
Line-to-line voltage380 V
Shaft power15 kW
Power factor0.85
Efficiency90 %
Length (one way)50 m
ConductorCopper · 6 mm² · PVC 70 °C
Drop limit4 %
Result
Design current Ib29.79 A
Voltage drop7.649 V
Voltage drop (%)2.01 %
Minimum section by voltage drop4 mm²
Conductor losses457.7 W

How to read it

The design current is 29.79 A. With 6 mm² the drop is 7.649 V, or 2.01 % of the voltage, below the 4 % limit. By voltage drop alone, the smallest section would be 4 mm², but that is not enough to choose the cable: the current-carrying capacity Iz for the installation method comes from the IEC 60364-5-52 (NBR 5410) table or the manufacturer. Entering the breaker In and that Iz, the tool checks Ib ≤ In ≤ Iz. Conductor losses add up to 457.7 W.

Limits and cautions

  • It does not calculate the current-carrying capacity Iz: it depends on the installation method, grouping, ambient temperature and insulation, and comes from IEC 60364-5-52 (NBR 5410) or the manufacturer.
  • Short circuit, shock protection, neutral and protective conductor sections, harmonics and motor starting drop are not included.
  • The reactance is a typical value you enter; check it in the cable catalogue.
  • It does not replace the electrical design signed by a qualified professional.

Technical basis

Design current and voltage drop with temperature-corrected resistance (IEC 60228) and reactance; coordination with the protection per IEC 60364 / NBR 5410.

  • ABNT NBR 5410 — instalações elétricas de baixa tensão
  • IEC 60364-5-52 — seleção e instalação de linhas elétricas
  • IEC 60228 — condutores de cabos isolados

In the full version, you can

  • Check three-phase, single-phase and DC circuits from power or current.
  • Compare copper and aluminium, insulations and parallel cables.
  • See the drop for each commercial section and check Ib ≤ In ≤ Iz with the Iz from the standard.
  • Export an unbranded PDF report and keep the work on your device, with a backup file.

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Frequently asked questions

Is the length out and back?

No. Enter only the one-way length. The factor k already accounts for the return: √3 in three-phase and 2 in single-phase and DC.

Why can the cable still be wrong if the drop passed?

Because voltage drop and current-carrying capacity are different checks. Short cables with high current are usually decided by Iz; long cables, by the drop. Both must be met.

Which drop limit should I use?

It depends on the circuit and the origin of the installation. IEC 60364-5-52 and NBR 5410 give limits for final circuits and from the supply point; use the value for your case.