Calculating the mode of power distribution lines using sensitivity functions

by

A.M. Oleinikov, L.N. Kanov

1Institute of Natural and Technical Systems, RF, Sevastopol, Gogol St., 14

 E–mail: oma091041@gmail.com

2Sevastopol State University, RF, Sevastopol, Universitetskaya St., 33

 E–mail: lnkanov48@mail.ru

DOI: 10.33075/2220-5861-2025-2-120-127

UDC 620.92                                                  

EDN: https://elibrary.ru/lrbtje

Abstract:     

The possibility of numerical simulation of the mode of the distribution line of an electric power system consisting of two power and load points is presented. In order to improve the methodology for calculating the modes of such systems, it is taken into account that in different sections of overhead and cable lines, due to natural conditions, the resistivity significantly depends on the temperature of the line section, while the specific conductivity depends on the humidity of the environment. This is especially true for distribution lines in offshore electric power systems. A very convenient method for solving the problem is the approximation of the dependence of specific parameters by functions along the length of the line with fluctuations in the value of resistivity, or with a smooth change in this resistance. The approximation coefficients are selected by comparing theoretical assumptions and the results of experimental determination of the mode parameters. A mathematical model of a line with a load is built on the basis of the theory of electrical circuits with distributed parameters. It is shown that the determination of voltage and current in a cable line is reduced to the solution of a system of non-stationary complex equations using sensitivity functions to solve a boundary value problem. An algorithm for compiling sensitivity equations is described, an example of calculating the load regime of cable lines is given.

Keywords: electric power system, line, parameters, sensitivity, modeling, voltage, current

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