Valeriy V. Polyanov
Siberian Transport University, Novosibirsk, Russia, polyanovvv@mail.ru
Sergey V. Toropov
OJSC Russian Railways, Novosibirsk regional communications center, Novosibirsk, Russia, toropovs@wsr.ru
DOI: 10.36724/2664-066X-2025-11-6-2-11
SYNCHROINFO JOURNAL. Volume 11, Number 6 (2025). P. 2-11.
Abstract
This paper presents a quantitative model of induced voltage in power supply cables of industrial equipment, focusing on the shielding effectiveness provided by the cable screen (PE conductor) as a function of its grounding resistance and the frequency of the disturbing magnetic field in the range up to 10 kHz. Based on a quasi-stationary three-conductor approximation with dominant inductive coupling, the analytical expression reveals a sharp threshold behavior: induced voltage magnitude remains low only at very small grounding resistances (1-4 Ω at power frequency). At audio and higher frequencies (0.8-10 kHz), shielding efficiency degrades markedly due to the growing inductive reactance of the “screen-ground” drainage path, rendering compensation ineffective even at resistances still considered acceptable under some 50 Hz norms (up to 30 Ω). Numerical results for grounding resistances spanning 0.1 Ω to 100 MΩ and selected frequencies explain several persistent field observations: seasonal surges in failures of CNC electronics and control modules during periods of elevated soil resistivity (drought, freezing), damage to microcontrollers, power switches, and input circuits despite conventional overcurrent protection, and limited success of localized mitigation when long parallel cable routes act as open inductive loops. The study emphasizes that grounding impedance must be regarded as strongly frequency-dependent. Reliable electromagnetic immunity in industrial environments, where soil resistivity often ranges from 500 to 5000 Ω·m or higher, requires low-impedance designs across the relevant spectrum: extended electrode configurations (multiple rods, grids, deep wells), ground enhancement materials, rational cable routing, consistent shielded cabling, staged surge protection with minimized inductance, and, where practical, fiber-optic interfaces. In multilayered soils typical of industrial sites, accurate high-frequency prediction necessitates Wenner/Schlumberger measurements followed by layered inversion modeling. The findings advocate a systemic approach to EMC rather than isolated fixes. Future investigations will target optimized grounding topologies for high-resistivity soils, inclusion of distributed parameters at tens of kHz, detailed multilayer simulations, and field verification.
Keywords: electromagnetic compatibility, EMC, grounding, induced voltage, CNC, machine tool industry, industrial equipment, industrial automation
References
[1] V. M. Avanesov, F. V. Yashchenko, A. Yu. Gaivoronsky, “Ensuring electromagnetic compatibility of secondary power supply sources,” Sovremennye problemy fiziki, biofiziki i infokommunikatsionnykh tekhnologiy. 2024. No. 14. URL: https://cyberleninka.ru/article/n/obespechenie-elektromagnitnoy-sovmestimosti-istochnikov-vtorichnogo-elektropitaniya (accessed: 12.12.2025).
[2] A. S. Podgorny, “Ensuring vehicle quality using an integrated electromagnetic environment monitoring system and prevention of electromagnetic compatibility conflicts,” Izvestiya TulGU. Tekhnicheskie nauki. 2024. No. 1. URL: https://cyberleninka.ru/article/n/obespechenie-kachestva-avtomobiley-s-ispolzovaniem-kompleksnoy-sistemy-monitoringa-elektromagnitnoy-obstanovki-i-preduprezhdeniya (accessed: 12.12.2025).
[3] L. A. Myasoedova, “Electromagnetic compatibility of power electrical network and electronic devices,” Vestnik Amurskogo gosudarstvennogo universiteta. Seriya: Estestvennye i ekonomicheskie nauki. 2023. No. 103. URL: https://cyberleninka.ru/article/n/elektromagnitnaya-sovmestimost-silovoy-elektricheskoy-seti-i-elektronnyh-ustroystv (accessed: 12.12.2025).
[4] H. W. Ott, “Electromagnetic Compatibility Engineering,” Hoboken: Wiley, 2009. 872 p. ISBN 978-0-470-18930-6.
[5] O. G. Evdokimova, “Development of methods and means to improve the efficiency of grounding devices in railway automation and telemechanics systems,” abstract of the dissertation for the degree of Candidate of Technical Sciences. St. Petersburg, 2013. 16 p.
[6] V. V. Polyanov, “Methodology for modeling electromagnetic compatibility on heavy-haul train sections,” Vestnik Uralskogo gosudarstvennogo universiteta putei soobshcheniya. 2016. No. 2(30). pp. 119–127. DOI 10.20291/2079-0392-2016-2-119-127.
[7] K. V. Suslov, A. V. Kryukov, P. V. Ilyushin, “Modeling electromagnetic influences of multi-wire traction networks on pipelines,” Vestnik IrGTU. 2023. No. 3. URL: https://cyberleninka.ru/article/n/modelirovanie-elektromagnitnyh-vliyaniy-mnogoprovodnyh-tyagovyh-setey-na-truboprovody (accessed: 12.12.2025).
[8] M. N. Movenko, B. S. Kompanets, “Influence of electromagnetic fields on the operation of relay protection and automation devices,” Forum Molodykh Uchenykh. 2025. No. 5(105). URL: https://cyberleninka.ru/article/n/vliyanie-elektromagnitnyh-poley-na-rabotu-ustroystvo-releynoy-zaschity-i-avtomatiki (accessed: 12.12.2025).
[9] V. V. Sapozhnikov, Vl. V. Sapozhnikov, V. I. Shamanov et al., “Reliability of railway automation, telemechanics and communication systems,” textbook. Moscow: Transport, 2002. 263 p.
[10] V. V. Polyanov, “Standardization of electromagnetic compatibility,” Avtomatika, svyaz, informatika. 2016. No. 7. pp. 18-21.
[11] “Rules for technical operation of consumer electrical installations,” Moscow: Prospekt, 2019. 280 p.
[12] V. V. Polyanov, S. A. Bessonko, “Methodology for calculating the error of linear structures diagnostic systems on heavy-haul train sections,” Transport Aziatsko-Tikhookeanskogo Regiona. 2023. No. 4(37). pp. 85-93.
[13] V. S. Verba, V. I. Merkulov, A. G. Teterukov, “Electromagnetic compatibility. Part 1. The role and place in on-board electronic complexes. Analysis of the problem status,” Electromagnetic Waves and Electronic Systems. 2025. pp. 5-19. DOI 10.18127/j5604128-202501-01.
[14] M. Pantelyat, P. Miasoedov, “Electromagnetic compatibility of technical objects and systems: a preliminary review of some software for computer modelling,” Bulletin of NTU KhPI. Series: Problems of Electrical Machines and Apparatus Perfection. The Theory and Practice. 2025. pp. 21-25. DOI 10.20998/2079-3944.2025.1.05.
[15] J. R. Carson, “Wave Propagation in Overhead Wires with Ground Return,” Bell System Technical Journal. 1926. Vol. 5. pp. 539-556.
[16] GOST 33398-2015, “Railway telecommunication. Protection regulation of lines communication against influence of a traction network of the electrified railways constant and alternating current,” 2015. Introduced 01.06.2016.
[17] A. A. Fedorov, G. V. Serbinovsky (eds.), “Handbook on Power Supply of Industrial Enterprises. In 2 books. Book 1. Design and Calculation Data,” Moscow: Energiya, 1973. 520 p.
[18] GOST 30331.1-2013 (IEC 60364-1:2005), “Low-voltage electrical installations. Part 1. Fundamental principles, assessment of general characteristics, definitions,” Moscow: Standartinform, 2014.
[19] V. Ďuriš, S. Chumarov, V. Ivanov, “Ensuring Electromagnetic Compatibility of Microprocessor Relay Protection Devices,” TEM Journal. 2025. pp. 1941–1947. DOI 10.18421/TEM143-03.
[20] R. Herrick, In. Chief, M. Akay et al., “Printed Circuit Board Design Techniques for EMC Compliance,” Series: IEC 62305: Protection against lightning. 2000.