Current Carrying Capacity
Current Carrying Capacity Calculator
Calculate the continuous steady-state cable current rating using the IEC 60287 thermal and electrical loss model.
Standard calculation
IEC 60287-1-1:2023
AC steady-state current rating and cable losses
Thermal resistance inputs T1, T2, T3 and T4
FORMULA USED
I = sqrt{[Δθ - Wd(0.5T1 + n(T2+T3+T4))] / [R T1 + n Rc(1+λ1)T2 + n Rc(1+λ1+λ2)(T3+T4)]}
Δθ : Permissible conductor temperature rise50.000 K
n : Number of loaded conductors3
R : Conductor resistance0.000100000 Ω/m
Rc : Corrected conductor resistance0.000100000 Ω/m
Wd : Dielectric loss0.000000 W/m
λ1 : Sheath loss factor0.000000
λ2 : Armour loss factor0.000000
T1 : Insulation thermal resistance0.500000 K·m/W
T2 : Bedding thermal resistance0.200000 K·m/W
T3 : Serving thermal resistance0.100000 K·m/W
T4 : External thermal resistance1.000000 K·m/W
Technical Reference
IEC 60287 Calculation Basis
AC permissible current rating
I = sqrt{[Δθ - Wd(0.5T1 + n(T2+T3+T4))] / [R T1 + n Rc(1+λ1)T2 + n Rc(1+λ1+λ2)(T3+T4)]}
IEC 60287-1-1:2023, current rating equations
IEC 60287 steady state rating equation. The 2023 edition distinguishes R and Rc where applicable.
IEC 60287 steady state rating equation. The 2023 edition distinguishes R and Rc where applicable.
DC permissible current rating
I = sqrt{Δθ / [R′T1 + nR′T2 + nR′(T3+T4)]}
IEC 60287-1-1:2023, DC cables up to 5 kV
Simplified DC equation for direct voltages up to 5 kV. R′ is conductor DC resistance per unit length at maximum operating temperature.
Simplified DC equation for direct voltages up to 5 kV. R′ is conductor DC resistance per unit length at maximum operating temperature.
Permissible temperature rise
Δθ = θmax - θambient
IEC 60287-1-1:2023
Temperature difference between maximum conductor operating temperature and ambient/reference environment.
Temperature difference between maximum conductor operating temperature and ambient/reference environment.
Metallic loss factors
λ1 = Ws/Wc ; λ2 = Wa/Wc
IEC 60287-1-1:2023, calculation of losses
Sheath and armour losses are represented as ratios to conductor losses in the current rating equation.
Sheath and armour losses are represented as ratios to conductor losses in the current rating equation.
Generic annular layer thermal resistance
T = ρ/(2π) × ln(Dout/Din)
IEC 60287-2-1:2023, 4.1.2.1 and 4.1.3
Used for concentric cylindrical insulation, bedding and serving layers. For single-core conductor-to-sheath T1, CLL may be applied where relevant.
Used for concentric cylindrical insulation, bedding and serving layers. For single-core conductor-to-sheath T1, CLL may be applied where relevant.
Single-core T1
T1 = ρ1/(2π) × ln(1 + 2t1/dc) / CLL
IEC 60287-2-1:2023, 4.1.2.1
Single-core conductor-to-sheath thermal resistance.
Single-core conductor-to-sheath thermal resistance.
Single isolated buried cable T4
T4 = ρe/(2π) × ln(u + √(u²−1)), u = 2L/De
IEC 60287-2-1:2023, 4.2.2
External thermal resistance for the supported single isolated direct-buried geometry.
External thermal resistance for the supported single isolated direct-buried geometry.
Conductor DC resistance at operating temperature
Rθ = R20 × [1 + α20(θ−20)]
IEC 60287 electrical-loss calculation basis
Temperature correction used before optional AC resistance correction factor.
Temperature correction used before optional AC resistance correction factor.
Conductor resistance from material resistivity and area
R20 = ρ20/A
Engineering relation used as IEC 60287 input
A in m². Allows resistance to be derived from conductor material and actual cross-section.
A in m². Allows resistance to be derived from conductor material and actual cross-section.
References
Standards Used
IEC 60287-1-1:2023
Current rating equations at 100% load factor and calculation of losses. Edition 3.0, published 2023-05-22.
https://webstore.iec.ch/en/publication/68118
IEC 60287-2-1:2023
Calculation of thermal resistance for steady-state cable current rating.
https://webstore.iec.ch/en/publication/68134
IEC 60287-3-1:2017
Site reference operating conditions. National requirements can supersede general reference values.
https://webstore.iec.ch/en/publication/33164