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. EDN LEQTWD

3. Manakov A. D., Baluev N. N. Usilenie zaschity vvodov pitaniya ustroystv zheleznodorozhnoy avtomatiki i telemehaniki pri blizkih grozovyh razryadah // Izvestiya Peterburgskogo universiteta putey soobscheniya. 2011. № 1 (26). S. 73–80. EDN NTZCCD

4. Rakov V. A., Uman M. A. Lightning: Physics and Effects. Cambridge: Cambridge University Press, 2003. 687 p.

5. Malcolm N., Aggarwal R. K. The Impact of Multiple Lightning Strokes on the Energy Absorbed by MOV Surge Arresters in Wind Farms During Direct Lightning Strikes // Renewable Energy. 2015. Vol. 83. Pp. 1305– 1314. DOI:https://doi.org/10.1016/j.renene.2015.05.010

6. Efficient Procedure to Evaluate Electromagnetic Transients: Transmission Line Model Based on Lumped Elements and State-Space Techniques / E. C. M. Costa [et al.] // IET Generation, Transmission & Distribution. 2010. DOI:https://doi.org/10.1049/iet-gtd.2009.0660

7. Power System Transients: Theory and Applications / A. Ametani [et al.]. 2nd ed. Boca Raton: CRC Press, 2016. 600 p.

8. Mamiş M. S., Nacaroğlu A. Transient Voltage and Current Distributions on Transmission Lines // IEE Proceedings — Generation, Transmission and Distribution. 2002. Vol. 149, no. 6. Pp. 705–712. DOI:https://doi.org/10.1049/ip-gtd:20020625

9. Hosseini S. M. A., Mohammadirad A., Akmal A. A. Surge Analysis on Wind Farm Considering Lightning Strike to Multi-Blade // Renewable Energy. 2022. Vol. 186. Pp. 312– 326. DOI:https://doi.org/10.1016/j.renene.2021.12.061

10. Grcev L. Impulse Efficiency of Ground Electrodes // IEEE Transactions on Power Delivery. 2009. Vol. 24, no. 1. Pp. 441–451. DOI:https://doi.org/10.1109/TPWRD.2008.923396

11. Diagnostic Analysis and Protective Measures of Transient Ground Potential Rise in a 1000 kV UHV Substation / F. Pang [et al.] // The Journal of Engineering. 2018. No. 17. Pp. 1670–1674. DOI:https://doi.org/10.1049/joe.2018.8638

12. Gustavsen B., Semlyen A. Rational Approximation of Frequency Domain Responses by Vector Fitting // IEEE Transactions on Power Delivery. 1999. Vol. 14, no. 3. Pp. 1052–1061. DOI:https://doi.org/10.1109/61.772353

13. Lee B.-H., Joe J.-H., Choi J.-H. Simulations of Frequency-dependent Impedance of Ground Rods Considering Multi-layered Soil Structures // Journal of Electrical Engineering & Technology. 2009. Vol. 4, no. 4. Pp. 531– 537. DOI:https://doi.org/10.5370/JEET.2009.4.4.531

14. On the Computation of the Voltage Distribution along the Non-Linear Resistor of Gapless Metal Oxide Surge Arresters / C. A. Christodoulou [et al.] // Energies. 2018. Vol. 11, no. 11. Art. 3046. DOI:https://doi.org/10.3390/en11113046

15. Quality Assessment of Low Voltage Surge Arresters / L. S. Litzbarski [et al.] // IEEE Access. 2022. Vol. 10. Pp. 129313–129321. DOI:https://doi.org/10.1109/ACCESS.2022.3226401

16. Bel'skiy R. A., Frolov V. Ya., Podporkin G. V. Elektricheskaya prochnost' razryadnika dlya molniezaschity liniy 6–35 kV pri grozovyh perenapryazheniyah // Zapiski Gornogo instituta. 2018. T. 232. S. 401–406. DOI:https://doi.org/10.31897/PMI.2018.4.401

17. Shampine L. F., Reichelt M. W. The MATLAB ODE Suite // SIAM Journal on Scientific Computing. 1997. Vol. 18, no. 1. Pp. 1–22. DOI:https://doi.org/10.1137/S1064827594276424

18. Critical Insight into Performance Requirements and Test Methods for Surge Protective Devices Connected to Low-Voltage Power Systems / T. E. Tsovilis [et al.] // IEEE Transactions on Power Delivery. 2021. Vol. 36, no. 5. Pp. 3055–3064. DOI:https://doi.org/10.1109/TPWRD.2020.3032763

19. Lightning Performance Analysis of a Rooftop Grid-Connected Solar Photovoltaic Without External Lightning Protection System / M. S. M. Nasir [et al.] // PLOS ONE. 2019. Vol. 14, no. 7. Art. e0219326. DOI:https://doi.org/10.1371/journal. pone.0219326

20. Rakov V. A. A Review of Positive and Bipolar Lightning Discharges // Bulletin of the American Meteorological Society. 2003. Vol. 84, no. 6. Pp. 767–776. DOI: 10.1175/ BAMS‑84-6-767