Russian Federation
UDC 621.316.9
UDC 621.315.1
the objective of this study is to investigate wave processes in a 10 kV high-voltage automatic block line under multiple lightning strokes, taking into account energy accumulation and degradation of surge arresters, as well as to assess the influence of these factors on the effectiveness of lightning protection. Methods: the study employs mathematical and numerical modeling in the time domain based on the state-space method. Lightning currents are represented using the analytical Heidler function, combined with a dynamic model of the lightning channel and an energy-dependent model of surge arresters. Results: it is shown that under multiple lightning strokes, wave processes in the line overlap in time, leading to increased overvoltage levels. It is established that the energy dissipated in surge arresters accumulates from stroke to stroke and reaches critical values after only a few events. It is demonstrated that the performance of surge arresters is determined not only by instantaneous voltage and current values, but also by the cumulative energy load, which may lead to degradation and eventual failure. Practical significance: the practical significance of the study lies in the applicability of the developed model for analyzing multiple lightning events and evaluating the energy loading of surge arresters in the design of lightning protection systems for high-voltage automatic block lines. The results substantiate the necessity of accounting for cumulative effects and transitioning to energy-coordinated protection schemes, including the implementation of protected approaches for railway automation and remote control systems.
lightning, serial lightning strikes, wave processes, railway automation and remote control, energy withstand capability
1. Solov'ev A. D., Manakov A. D. Analiz vozdeystviya atmosfernyh perenapryazheniy na ustroystva zheleznodorozhnoy avtomatiki i telemehaniki // Avtomatika na transporte. 2025. T. 11, № 4. S. 287–302. DOI:https://doi.org/10.20295/2412-9186-2025-11-04-287-302. EDN MYPJAE
2. Solov'ev A. D., Manakov A. D. Volnovye processy pri vozdeystvii molnii v vysokovol'tnoy linii avtoblokirovki 10 kV // Avtomatika na transporte. 2026. T. 12, № 1. S. 56–72. DOI:https://doi.org/10.20295/2412-9186-2026-12-01-56-72
3. Rakov V. A., Uman M. A., Thottappillil R. Review of Lightning Properties from Electric Field and TV Observations // Journal of Geophysical Research. 1994. Vol. 99, no. D5. Pp. 10745–10750. DOI:https://doi.org/10.1029/93JD01205
4. Bazelyan E. M., Raizer Y. P. Lightning Physics and Lightning Protection. Bristol: Institute of Physics Publishing, 2000.
5. Lightning-Induced Voltages on Overhead Lines / C. A. Nucci [et al.] // IEEE Transactions on Electromagnetic Compatibility. 1993. Vol. 35, no. 1. Pp. 75–86.
6. Rachidi F. A Review of Field-to-Transmission Line Coupling Models with Special Emphasis to Lightning-Induced Voltages on Overhead Lines // IEEE Transactions on Electromagnetic Compatibility. 2012. Vol. 54, no. 4. Pp. 898–911. DOI:https://doi.org/10.1109/TEMC.2011.2181519
7. Borghetti A., Nucci C. A. Paolone, M. An Improved Procedure for the Assessment of Overhead Line Indirect Lightning Performance and Its Comparison with the IEEE Std. 1410 Method // IEEE Transactions on Power Delivery. 2007. Vol. 22, no. 1. Pp. 684–692. DOI:https://doi.org/10.1109/TPWRD.2006.881463
8. Rakov V. A., Uman M. A. Lightning: Physics and Effects. Cambridge University Press, 2003. DOI:https://doi.org/10.1017/CBO9781107340886
9. Heidler F. Analytische Blitzstromfunktion zur LEMP-Berechnung // Proceedings of the 18th International Conference on Lightning Protection (ICLP). Munich, 1985. Rp. 63–66.
10. Furgal J. Influence of Lightning Current Model on Simulations of Overvoltages in High Voltage Overhead Transmission Systems // Energies. 2020. Vol. 13, no. 2. Art. 296. DOI:https://doi.org/10.3390/en13020296
11. Mitigation of Lightning-Induced Overvoltages in Medium Voltage Distribution Lines by Means of Periodical Grounding of Shielding Wires and of Surge Arresters: Modeling and Experimental Validation / M. Paolone [et al.] // IEEE Transactions on Power Delivery. 2004. Vol. 19, no. 1. Pp. 423–431. DOI:https://doi.org/10.1109/TPWRD.2003.8201
12. The Impact of Multiple Lightning Strokes on the Energy Absorbed by MOV Surge Arresters in Wind Farms during Direct Lightning Strikes / N. Malcolm [et al.] // Renewable Energy. 2015. Vol. 83. Pp. 1305–1315. DOI:https://doi.org/10.1016/j.renene.2015.05.046
13. Zanetta L. C. Jr. Evaluation of Line Surge Arrester Failure Rate for Multipulse Lightning Stresses // IEEE Transactions on Power Delivery. 2003. Vol. 18, no. 3. Pp. 796–801. DOI:https://doi.org/10.1109/TPWRD.2003.813862
14. Features of the First and the Subsequent Return Strokes in Positive Ground Flashes Based on Electric Field Measurements / D. Johari [et al.] // Electric Power Systems Research, 2017. DOI:https://doi.org/10.1016/j.epsr.2017.04.031
15. Lightning Current Distribution of the First and Subsequent Strokes Based on the Lightning Location System: Survey in Yunnan Power Grid / Y. Ma [et al.] // Atmosphere. 2025. DOI:https://doi.org/10.3390/atmos16010015
