Mathematical model of cable power line with XLPE insulation with underground installation

Abstract

This paper considers mathematical modeling of a stationary thermal field in the cross section of a single-conductor cable with
XLPE insulation. The equivalent circuit of thermal processes is made using the method of homogeneous bodies and it includes dielectric losses, it takes into account the ambient temperature, as well as the temperature dependence of the active resistance of the cable core. The assessment of the adequacy of the mathematical model is performed by comparing the obtained results with the calculation of thermal and electrical processes using the finite element method carried out in the software ANSYS Workbench. The resulting mathematical model can be used to control the capacity of cable lines with XLPE insulation and limit their service life due to temperature aging of insulation.