IEC 60287-1-1 / IEC 60287-2-18 min read

Worked Example: IEC 60287 Current Rating of a Buried MV Cable — Three-Core vs Three Single-Core Cables

The suite's IEC 60287 module with its default inputs: external thermal resistance T4, the rating equation in Ω/m, and how mutual heating changes T4 for a trefoil group.

Scenario

Conductorθmax 90 °C, ground 30 °C, Rac = 0.161 Ω/km at 90 °C
LossesSheath loss factor λ1 = 0.10, armour λ2 = 0, dielectric loss neglected
Thermal resistancesT1 = 0.35, T2 = 0.03, T3 = 0.05 K·m/W (from the data sheet)
InstallationBuried at L = 1.0 m in soil of 1.2 K·m/W, cable diameter De = 95 mm

Step-by-step calculation

Step 1: External thermal resistance, one isolated cable

T4 = (ρ/2π) · ln(u + √(u² − 1)), u = 2L/De
u = 2000/95 = 21.05 → T4 = (1.2/2π) × ln(42.08)
T4 = 0.714 K·m/W

Step 2: Continuous rating, three-core cable (n = 3)

I = √[ Δθ / (R · (T1 + n(1+λ1)T2 + n(1+λ1+λ2)(T3+T4))) ]
R = 0.161 × 10⁻³ Ω/m; denominator = 0.35 + 3 × 1.1 × 0.03 + 3 × 1.1 × (0.05 + 0.714) = 2.971 K·m/W → I = √(60 / (0.161 × 10⁻³ × 2.971))
I = 354 A

R must be in Ω/m. Using Ω/km in this formula gives a rating about 32 times too high.

Step 3: Three single-core cables in trefoil (mutual heating)

For three equally loaded single-core cables touching in trefoil, IEC 60287-2-1 gives T4 for the group, which already includes the heating of each cable by the other two. Use n = 1 for each single-core cable.

T4 = (1.5/π) · ρ · [ln(2u) − 0.630]
(1.5/π) × 1.2 × [ln(42.1) − 0.630]
T4 = 1.782 K·m/W (2.5 × the isolated value)

Result summary

CheckRequirementActualStatus
T4, isolated cableIEC 60287-2-1 §2.2.20.714 K·m/W✓ PASS
Rating, three-core cableIEC 60287-1-1 eq. (1)354 A✓ PASS
T4, trefoil groupIEC 60287-2-1 §2.2.31.782 K·m/W✓ PASS
The three-core cable is rated 354 A continuously in these conditions. For single-core cables in trefoil, T4 rises to 1.782 K·m/W because the cables heat each other; select the trefoil formation in the module so the rating includes it.

Key insight: Ignoring mutual heating is the most common error in hand IEC 60287 calculations for single-core cables: the group's T4 is two to three times that of one isolated cable.

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Frequently asked questions

Where do T1, T2 and T3 come from?

From the cable's dimensions and material resistivities (IEC 60287-2-1 §2.1), or the manufacturer's data sheet. The suite's module takes them as inputs.

What about cables in ducts?

Use module H3 (Current Rating — Trench / Duct Bank), which adds the duct air space T4′ and duct wall T4″ and the mutual heating of several circuits.

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