Mathematical modeling of transients in the mine electric network using matrix-topological method

Authors

  • Віталій Федорович Сивокобиленко State Institution of Higher Education "Donetsk National Technical University", Sybankov sq., 2, Krasnoarmeysk, Donetsk region, Ukraine, 85300, Ukraine https://orcid.org/0000-0002-7720-0540
  • Святослав Володимирович Василець State Institution of Higher Education "Donetsk National Technical University", Sybankov sq., 2, Krasnoarmeysk, Donetsk region, Ukraine, 85300, Ukraine https://orcid.org/0000-0003-1299-8026

DOI:

https://doi.org/10.15587/2312-8372.2015.39267

Keywords:

model, network, mine, differential equation, matrix, graph, tree, transients

Abstract

It is developed a mathematical model of the mine electric network, which allows us to analyze the transient and steady-state processes in normal and emergency modes. The model is a matrix differential equation in the form of Cauchy, compiled using matrix-topological method, which is different, taking into account the mutual influence of network components. The relevance of the analysis of transients in the mine electric network due to low precision of existing methods and the need to improve the technical and economic performance of the mining equipment. This mathematical model is applied in the form of a computer program with a graphical interface, which automatically calculates the matrix coefficients of the differential equation of condition of mine electric network and integrates its by hard-sustainable Gear-Nordsieck method. Using the proposed computer program by design organizations will increase the efficiency of the design process and increase the accuracy of determining the settings of protective devices.

Author Biographies

Віталій Федорович Сивокобиленко, State Institution of Higher Education "Donetsk National Technical University", Sybankov sq., 2, Krasnoarmeysk, Donetsk region, Ukraine, 85300

Doctor of Technical Sciences, Professor, Head of the Department

Department of electric power stations, systems and power supply

Святослав Володимирович Василець, State Institution of Higher Education "Donetsk National Technical University", Sybankov sq., 2, Krasnoarmeysk, Donetsk region, Ukraine, 85300

Candidate of Technical Science, Associate Professor, Doctoral Candidate

Department of mining electrotechnics and automation named after R. M. Leybov

References

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Published

2015-04-02

How to Cite

Сивокобиленко, В. Ф., & Василець, С. В. (2015). Mathematical modeling of transients in the mine electric network using matrix-topological method. Technology Audit and Production Reserves, 2(1(22), 4–8. https://doi.org/10.15587/2312-8372.2015.39267

Issue

Vol. 2 No. 1(22) (2015): Energy, energy-saving technologies and equipment. Electrical engineering and industrial electronics

Section

Energy, energy-saving technologies and equipment

License

Copyright (c) 2016 Віталій Федорович Сивокобиленко, Святослав Володимирович Василець

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