Mathematical modeling of the influence of external factors on characteristics of cable line

Electric power is a branch of the power industry, which includes the production, transmission and sale of electricity. Electric power is the most important branch of the power industry, which is explained by such advantages of electricity over the other types of energy as the relative ease of transmission over long distances. Activity of “IDGC of the South – Astrakhanenergo”, PJCS is organized to supply electricity to the consumer. One of the important factors of electricity supply is timely testing and inspecting the cable. The subject of research are cable lines. There have been considered different types of cables (designation, specifications) that are put into operation in four districts in Astrakhan. The statistics data obtained during 2001-2017 demonstrate the change in insulation resistance over the time. There has been found the influence of the environment and ground characteristics on soundness of the cable line insulation. Assessment of the impact of soil parameters on the cable line in the Sovetsky district in Astrakhan has been carried out. When modelling dependence of insulation from external factors there were studied models of two types: linear and logarithmic. It has been stated that the logarithmic model is more suitable for mathematical modelling due to its adequate evaluation of dependence of resistance on the ground characteristics. Mathematical calculations done and the choice of logarithmic models helped to propose a method of predicting the continuous working time of the cable line without involvement of electrical personnel in testing and visual inspection, which in future will significantly reduce the number of emergency situations in the facilities and save the budget.