The Use of Mathematical Models of Overhead Power Transmission Line Elements for Equipment

Abstract

A method for diagnosing the technical condition of electrical insulators installed on overhead power transmission lines is considered. The purpose of the study is to develop tools for assessing the operability of electrical equipment, which will improve the reliability of power supply and the safety of operation of overhead power transmission lines. An approach to the diagnosis of insulators based on mathematical modeling of their electrical and physical characteristics is proposed. The use of such models makes it possible to predict changes in insulation parameters under the influence of various factors, including climatic conditions, aging of materials and operational loads. The results demonstrate the prospects of using mathematical modeling in the tasks of diagnostics and preventive maintenance of high-voltage line equipment. The mathematical models take into account the mechanical and electrical effects on insulators, such as mechanical loads, temperature, humidity, and pollution levels. In particular, material state equations, fracture criteria, and damage accumulation models are used to assess the current condition and predict future failures. The use of machine learning methods makes it possible to automate the process of classifying the condition of equipment and predict the probability of its failure. The practical application of these approaches can significantly reduce the risks of emergencies and optimize equipment maintenance.