MATHEMATICAL MODEL FOR DETERMINING TEMPERATURE VARIATIONS IN POWER CABLES THE EFFECTS OF UNSTABLE LOADS

Abstract

The electric cables of the power transmission system always get hot when current flows through them due to the Joule - Lenz effect. Based on the analysis
of the heat transfer mechanism of the wire and the heat exchange process between the wire surface and the surrounding environment, by dividing the wire
radially into elements and establishing the heat balance equation for the parts. From there, a mathematical model is obtained that determines the temperature
distribution law in the wire when the load is unstable. The calculation results have determined the temperature distribution rules and the maximum temperature
increase in the layers of the cable. From there, research is conducted on the influence of the conductive material layer and the influence of surrounding
environmental conditions on the level of heating of the wire. Research results show that the influence of the conductive material layer and the influence of
surrounding environmental conditions on the level of heating of the wire is very significant. The research results are the basis for calculating, designing, and
testing cables to ensure safety and save costs when choosing cables for power transmission systems.