Analysis of the methods and means to investigation transient electromagnetic processes in long power lines
DOI:
https://doi.org/10.31734/agroengineering2020.24.101Keywords:
transient electromagnetic processes, long power line, equation solving methods, differential line equations, telegraph equations, mathematical modelAbstract
The paper analyzes scientific publications related to the study of transient electromagnetic processes in long power lines. The analysis has shown that there are currently no common approaches to the study of these processes, but instead there are a large number of methods and means for their reproduction. The advantage of field approaches over wheeled ones in the mathematical modeling of the mentioned processes is substantiated. Possible ways to obtain differential equations of a long line are presented, in particular on the basis electromagnetic field theory and variable approaches, using the modified Hamilton – Ostrogradsky principle.
The work supplies analysis of the methods and means of solving the differential equations of a long power line and generalizes solutions of those equations in the form of mathematical formulas by the following methods: D'Alembert, Fourier, Cauchy, Laplace transform, Fourier transforms, as well as methods of discretization partial differential equations. The paper deals with the study of transient electromagnetic processes in long power lines by almost each of those methods. The others, less used approaches, are also considered, in particular: diakoptic, spectral (frequency), «wandering waves» as well as existing software for analyzing the mentioned processes. The analysis shows that nowadays, the majority of studies of transient electromagnetic processes are carried out using ready-made computer programs that are designed for engineering calculations rather than scientific ones. The main problems concerning creating new and improving the existing software systems for the analysis of transient electromagnetic processes are revealed. The prospects for further research are indicated.
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