Analysis of transient processes in a power transmission line with lightning protection cables during controlled switching
DOI:
https://doi.org/10.31734/agroengineering2023.27.051Keywords:
transient electromagnetic processes, controlled switching, long line, lightning protection cables, mathematical model, boundary conditionsAbstract
The article analyzes scientific publications related to the study of transient processes in the elements of electrotechnical systems of energy transmission during controlled commutations by electric and gas switches. The analysis shows that the issue of researching transient processes during controlled switching is relevant, but insufficiently explored with respect to transient processes in lightning protection cables.
The author has developed a mathematical model of a fragment of an electrotechnical energy transmission system with the key element of which is a long power transmission line with lightning protection cables of ultra-high voltage, taking into account the parameters distribution. The developed mathematical model is based on the equation of a long line with partial derivatives of the second order. Neumann and Poincaré boundary conditions are proposed to solve the mentioned equation. Equations of a long line with second-order partial equations are solved by the method of straight lines using the concept of the central derivative. The search for voltages in fictitious nodes of the power transmission line was carried out and their appearance was presented for the phase wires at the end of the power transmission line and lightning protection cables at the beginning and end of the power transmission line. Based on the developed mathematical model, a program code was written in the algorithmic programming language Visual Fortran, with the help of which two numerical experiments were carried out. In the first experiment, transient processes in the power transmission line were studied without considering the controlled switching, and in the second – with it. The results of the computer simulation of transient electromagnetic processes in the phase wires of the line and lightning protection cables are presented in the form of drawings that are analyzed. Functional dependences marked in yellow on the oscillograms refer to phase A, green to phase B, and red to phase C.
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