Modeling of resonant mode occurrence in electrical systems of coal mines
L.A. Plashchanskiy1, S.N. Reshetnyak1, 2, M.Y. Reshetnyak1, Yu.L. Zhukovskiy3, S.S. Gracheva1
1 National University of Science and Technology “MISIS”, Moscow, Russian Federation
2 Institute of Comprehensive Exploitation of Mineral Resources of Russian Academy of Sciences, Moscow, Russian Federation
3 Empress Catherine II Saint Petersburg Mining University, Saint Petersburg, Russian Federation
Russian Mining Industry №4S/ 2026 p. 127-133
Abstract: The publication presents the results of a simulation study into the probability of resonant mode in electrical systems of coal mines. The study was conducted using simulation modeling in the MATLAB software suite. A simulation model has been developed for the electrical system of a coal mine with the possibility of connecting a bank of power capacitors and a detuned reactor. A potential has been established for occurrence of the current and voltage resonances at harmonic numbers corresponding to 6-pulse converter devices. The result of the study helped to establish dependences of the total coefficients of the harmonic components of voltage and current at fixed values of the detuned reactor inductance. An assessment was also conducted of the possibility of resonant mode occurring in an electrical system with linear and nonlinear loads when it includes a bank of power capacitors. The conducted research will improve the stability of the electrical system of the coal mine.
Keywords: coal mine, power supply system, electrotechnical system, higher harmonic components, resonant mode, bank of power capacitors, detuned reactor
For citation: Plashchanskiy L.A., Reshetnyak S.N., Reshetnyak M.Y., Zhukovskiy Yu.L., Gracheva S.S. Modeling of resonant mode occurrence in electrical systems of coal mines. Russian Mining Industry. 2026;(4S):127–133. (In Russ.) https://doi.org/10.30686/1609-9192-2026-4S-127-133
Article info
Received: 03.06.2026
Revised: 29.07.2026
Accepted: 03.08.2026
Information about the authors
Leonid A. Plashchanskiy – Cand. Sci. (Eng.), Professor at the Department of Energy and Energy Efficiency of the Mining Industry, National University of Science and Technology “MISIS”, Moscow, Russian Federation
Sergey N. Reshetnyak – Dr. Sci. (Eng.), Professor at the Department of Energy and Energy Efficiency of the Mining Industry, National University of Science and Technology “MISIS”, Moscow, Russian Federation; Senior Research Associate, Laboratory of Geotechnological Risks in Mining of Gas-Bearing Coal and Ore Fields, Institute of Comprehensive Exploitation of Mineral Resources of Russian Academy of Sciences, Moscow, Russian Federation; https://orcid.org/0000-0002-6982-5583; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Maria Y. Reshetnyak – Cand. Sci. (Eng.), Senior Lecturer of the Department of Energy and Energy Efficiency of the Mining Industry, National University of Science and Technology “MISIS”, Moscow, Russian Federation
Yuriy L. Zhukovskiy – Dr. Sci. (Eng.), Head of the Department of Electric Power and Electromechanics, Empress Catherine II Saint Petersburg Mining University, Saint Petersburg, Russian Federation; https://orcid.org/0000-0003-0312-0019
Sofya S. Gracheva – Student of the Department of Mining Equipment, Transport and Mechanical Engineering, National University of Science and Technology “MISIS”, Moscow, Russian Federation
References
1. Reshetnyak S.N., Zotov V.V., Kuziev D.A., Kozlova O.Yu. Enhancing performance efficiency of electric consumers within surface infrastructure of coal mines. Eurasian Mining. 2025;(1):100–104. https://doi.org/10.17580/em.2025.01.20
2. Reshetnyak S.N., Reshetnyak M.Yu., Saparov R.B., Iskandyarov N.A., Kuziev D.A. Enhancing the efficiency of electrical systems in coal mines. Ugol’. 2026;(3):111–115. (In Russ.) Available at: https://ugolinfo.ru/index.php?article=202603111 (accessed: 27.03.2026).
3. Рубан А.Д., Артемьев В.Б., Забурдяев В.С., Забурдяев Г.С., Руденко Ю.Ф. Проблемы обеспечения высокой производительности очистных забоев в метанообильных шахтах. М.: ИПКОН РАН; 2009. 395 с.
4. Babaei Z., Samet H., Serikov V.A. New power balance equations for modelling electric arc furnace. IET Generation, Transmission and Distribution. 2025;19(1):e70116. https://doi.org/10.1049/gtd2.70116
5. Zhang Z., Serikov V. Modeling of non-sinusoidal modes of operation of the power supply system at resonance. E3S Web of Conferences. 2023;470:01032. https://doi.org/10.1051/e3sconf/202347001032
6. Abramovich B.N., Sychev Yu.A., Zimin R.Yu. Hybrid harmonic compensation device adapted for variable speed drive system. IOP Conference Series: Earth and Environmental Science. 2017;87(3):032002. https://doi.org/10.1088/1755-1315/87/3/032002
7. Abramovich B.N., Sychev Yu.A. Shunt active correction system analysis in conditions of industrial enterprises networks. International Journal of Applied Engineering Research. 2016;11(4):2640–2645.
8. Samet H., Sadeghi R., Ghanbari T. Time-varying frequency model for electric arc furnaces. IET Generation, Transmission & Distribution. 2022;16(6):1122–1138. https://doi.org/10.1049/gtd2.12355
9. Yanchenko S., Kulikov A., Tsyruk S. Modeling harmonic amplification effects of modern household devices. Electric Power Systems Research. 2018;163:28–37. https://doi.org/10.1016/j.epsr.2018.05.021
10. Bulycheva E.A., Yanchenko S.A. Real-time harmonic identification under varying grid conditions. Serbian Journal of Electrical Engineering. 2021;18(1):29–48. https://doi.org/10.2298/SJEE2101029B
11. Tien D.L., Trung T.V., Anh S.D., Babyr N.V. Ground pressure and methods to enhance roof stability in mechanized coal mining. International Journal of Engineering, Transactions A: Basics. 2026;39(4):862–869. https://doi.org/10.5829/ije.2026.39.04a.05
12. Phuc L.Q., Linh N.K., Babyr N.V., Thang N.V. Stress environment and roof support needs for roadways ahead of the coal face: Case study from Ha Lam coal mine. Geology and Geophysics of Russian South. 2025;15(4):270–284. https://doi.org/10.46698/o0885-5581-1938-j
13. Zhilin E.V., Prasol D.A., Savvin N.Yu. Optimization of the structure of filter-compensating devices in networks with powerful non-linear power consumers based on fuzzy logic. International Journal of Electrical and Computer Engineering. 2022;12(6):5730–5737. https://doi.org/10.11591/ijece.v12i6.pp5730-5737
14. Averbukh M.A., Zhilin E.V. Optimization of coefficients specified with non-sinusoidal and non-symmetry feeding voltage in electrical supply systems in individual residential sector. Journal of Physics: Conference Series. 2018;1066:012019. https://doi.org/10.1088/1742-6596/1066/1/012019
15. Klyuev R.V. Development of a methodology for calculating swings in an electrical system. Sustainable Development of Mountain Territories. 2024;16(3):1205–1213. (In Russ.) https://doi.org/10.21177/1998-4502-2024-16-3-1205-1213
16. Klyuev R.V. Development of a methodology for planning an experiment to study the parameters of mills at a mining and processing plant. Russian Mining Industry. 2024;(5S):105–109. (In Russ.) https://doi.org/10.30686/1609-9192-2024-5S-105-109
17. Karpenko S.M., Karpenko N.V., Bezginov G.Y. Forecasting of power consumption at mining enterprises using statistical methods. Russian Mining Industry. 2022;(1):82–88. (In Russ.) https://doi.org/10.30686/1609-9192-2022-1-82-88
18. Petrochenkov A.B., Mishurinskikh S.V. Development of a method for optimizing power consumption of an electric driven centrifugal pump. In: 2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus), St. Petersburg, Moscow, 26–29 January 2021. IEEE; 2021, pp. 1520–1524. https://doi.org/10.1109/lConRus51938.2021.9396730
19. Cheremushkina M.S., Poddubniy D.A. Reducing the risk of fires in conveyor transport. IOP Conference Series: Earth and Environmental Science. 2017;50:012043. https://doi.org/10.1088/1755-1315/50/1/012043
20. Lyakhomskii A., Petrochenkov A., Romodin A., Perfil’eva E., Mishurinskikh S., Kokorev A. et al. Assessment of the harmonics influence on the power consumption of an electric submersible pump installation. Energies. 2022;15(7):2409. https://doi.org/10.3390/en15072409
21. Morenov V., Buslaev G., Leusheva E., Lavrik A., Alikhanov N., Parsaei R. Assessing possibility of carbon dioxide injection into formations of oil and gas fields for geothermal energy production: a case study. International Journal of Engineering, Transactions B: Applications. 2025;38(11):2486–2492. https://doi.org/10.5829/ije.2025.38.11b.01
22. Charafeddine K., Tsyruk S., Matiunina Yu. Integration on the consumer side to improve energy efficiency and power system reliability. In: 2025 International Ural Conference on Electrical Power Engineering (UralCon), Magnitogorsk, 25–28 September 2025. IEEE; 2025, pp. 101–106. https://doi.org/10.1109/UralCon67204.2025.11206628
23. Sosnina E.N., Asabin A.A., Bedretdinov R.S., Kryukov E.V., Gusev D.A. Thyristor booster device for voltage fluctuation reduction in power supply systems of ore mining enterprises. Journal of Mining Institute. 2025;272:159–170. Available at: https://pmi.spmi.ru/pmi/article/view/16450 (accessed: 25.03.2026).
24. Nazarychev A., Tereshchenko I. Power quality disturbances and operating regimes as determinants of reliability and technical condition of industrial electrical equipment: a comprehensive review. Energies. 2026;19(11):2685. https://doi.org/10.3390/en19112685
25. Nazarychev A., Iliev I., Manukian D., Beloev H., Suslov K., Beloev I. Methodology for developing a maintenance action program for power units of captive power plants based on an integrated priority indicator. Energies. 2026;19(6):1584. https://doi.org/10.3390/en19061584
26. Avdeev B.A., Vyngra A.V., Chernyi S.G., Zhilenkov A.A., Degtyarev A., Mamunts D., Kustov A. Parametric correction in the control system of the electric propulsion of autonomous underwater vehicles affected by random inputs. Discover Applied Sciences. 2024;6(10):510. https://doi.org/10.1007/s42452-024-06199-0
27. Avdeev B., Vyngra A., Chernyi S. Improving the electricity quality by means of a single-phase solid-state transformer. Designs. 2020;4(3):35. https://doi.org/10.3390/designs4030035
28. Muratbakeev E., Kozhubaev Y., Novak D., Kuzmenko E., Yao Y. Research of control systems and predictive diagnostics of electric motors. Symmetry. 2025;17(5):751. https://doi.org/10.3390/sym17050751
29. Petrov V.L., Kuznetsov N.M. The energy complex of the Yamalo-Nenets autonomous okrug. Mining Informational and Analytical Bulletin. 2025;(11):166–181. (In Russ.) https://doi.org/10.25018/0236_1493_2025_11_0_166
30. Fazylov I.R., Gendler S.G., Prokhorova E.A. Peculiarities of thermal design of mine openings in case of induced temperature anomalies. Mining Informational and Analytical Bulletin. 2026;(2):86–100. (In Russ.) Available at: https://giab-online.ru/files/Data/2026/2/Фазылов_86-100.pdf (accessed: 25.03.2026).
31. Lyakhomskii A.V., Perfil'eva E.N., Kutepov A.G. Analysis of the coal industry organizations activities on provision improve energy efficiency. Ugol’. 2021;(4):32–36. (In Russ.) https://doi.org/10.18796/0041-5790-2021-4-32-36
32. Korzhev A.A., Malarev V.I., Minakova T.E. Measuring self-oscillator circuits for oil humidity control using dielcometric method. Gornyi Zhurnal. 2025;(9):58–62. (In Russ.) https://doi.org/10.17580/gzh.2025.09.07
33. Podarevsky R.D., Merkulov M.V., Kormes A.A., Adamova L.S. Enhancement of energy efficiency of mining industry in the North owing to heat energy facilities with recycling of secondary energy resources. Mining Informational and Analytical Bulletin. 2026;(6):145–158. (In Russ.) Available at: https://giab-online.ru/files/Data/2026/6/06_2026_145-158.pdf (accessed: 25.03.2026).
34. Dmitrieva V.V., Arinich A.E., Kravchenko V.A., Sizin P.E. Virtual lab-scale simulator of relay protection and automation for power supply systems and electrical installations. Mining Informational and Analytical Bulletin. 2026;(5):95–109. (In Russ.) Available at: https://giab-online.ru/files/Data/2026/5/05_2026_95-109.pdf (accessed: 25.03.2026).
35. Karpenko S.M., Karpenko N.V., Ematin E.A., Abelyants U.V. Statistical analysis and predictive modelling of electric power consumption of excavators and sites of a coal strip mine. Ugol’. 2024;(3):79–86. (In Russ.) https://doi.org/10.18796/0041-5790-2024-3-79-86
36. Rao K.V.G., Kumar M.K. The harmonic reduction techniques in shunt active power filter when integrated with nonconventional energy sources. Indonesian Journal of Electrical Engineering and Computer Science. 2022;25(3):1236–1245. https://doi.org/10.11591/ijeecs.v25.i3.pp1236-1245
