Cable Design

Estimating Cable Life: Insulation Temperature and Arrhenius Ageing

How cable insulation life can be estimated from operating temperature using Arrhenius ageing, thermal endurance data and manufacturer curves.

Updated May 27, 2026

Estimating cable life is inherently uncertain and should normally be treated as an engineering estimate rather than a precise prediction. A key factor is the temperature at which the cable insulation operates over time.

IEC 60216 provides guidance on estimating the thermal endurance of insulating materials from measurements on test samples. For a particular cable construction, manufacturer data should be used where it is available.

This topic sits alongside Cable Insulation and Cable Thermal Analysis: the insulation material sets the thermal limit, while the installation determines the operating temperature.

Arrhenius equation

An Arrhenius-type relationship is often used to estimate insulation ageing and life expectancy as a function of temperature:

k=AeERT
kExpected life, h
APre-exponential factor
EActivation energy
RBoltzmann or gas constant, depending on units used for E
TTemperature, K

Taking the natural logarithm and rearranging gives a straight-line relationship:

lnk=lnA(ER)×(1T)

Because A, E and R are constants for a fitted material model, the result can be plotted as a straight line. In practice, engineers normally fit the relationship to manufacturer test data rather than relying on generic constants.

Rule of thumb

A common rule of thumb is that every 10 °C rise in operating temperature halves insulation life. Conversely, a 10 °C reduction in operating temperature doubles insulation life. This rule is a simplified consequence of Arrhenius-type ageing behaviour and should be used with care.

Arrhenius relationship chart for estimating cable insulation life from temperature
Example Arrhenius-type relationship between insulation temperature and estimated life.

Application example

From manufacturer data, the temperature-life relationship may be treated as log-linear:

ln(y)=mx+b

Using the example values shown in the source data, the slope is:

m=ln(20,000)ln(5,000)125145=0.0693

The intercept is:

b=ln(20,000)m×125=18.5678

Therefore:

ln(y)=0.0693x+18.5678

At 110 °C, the estimated life is:

y=exp(0.0693×110+18.5678)=56,500 hours, approximately 6.5 years

The result is only as good as the ageing model and the underlying test data. Real cable life also depends on installation conditions, load profile, moisture, mechanical damage, voltage stress, accessories and manufacturing details.

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