LIGHTNING-INDUCED WAVE PROCESSES IN A 10 KV HIGH-VOLTAGE AUTOMATIC BLOCK SYSTEM
Abstract and keywords
Abstract:
this paper investigates wave processes occurring in a 10 kV high-voltage automatic block system exposed to lightning impact. The objective is to research a three-phase overhead transmission line with distributed parameters that powers railway signalling and interlocking systems. The study focuses on the impulse overvoltages and currents in the line caused by lightning discharges. A mathematical model of the overhead line based on multi-conductor telegraph equations and expressed in a state-variable format has been created in order to study these impacts. The model is implemented with spatial discretization along the line via a pi-approximation, providing an explicit three-phase representation that accounts for inter-phase inductive and capacitive couplings. Nonlinear surge limiters, a dynamic depiction of the lightning channel, and a lightning impact source are all included in the model. The model has been numerically implemented in the time domain, using robust methods for integrating differential equations. The model is intended to compute the temporal and spatial distributions of voltages and currents at characteristic points along the line, in addition to analyzing the influence of line parameters and protective device configuration on the generating of wave overvoltages.

Keywords:
lightning discharge, impulse overvoltage, mathematical model, high-voltage line, railway automation and remote control system, state-variable method
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References

1. Solov'ev, A.D. Analiz vozdeystviya atmosfernyh perenapryazheniy na ustroystva zheleznodorozhnoy avtomatiki i telemehaniki / A. D. Solov'ev, A. D. Manakov // Avtomatika na transporte — 2025. — T. 11, № 4. — S. 287–302. — DOIhttps://doi.org/10.20295/2412-9186-2025-11-04-287-302. — EDN MYPJAE.

2. Rachidi, F. Electromagnetic Fields Associated with Lightning Strikes to Overhead Lines / F. Rachidi, M. Rubinstein // IEEE Transactions on Electromagnetic Compatibility — 2008. — Vol. 50, no. 3. — Pp. 497–508.—DOI:https://doi.org/10.1109/TEMC.2008.919139.

3. Nucci, C. A. Lightning-Induced Overvoltages on Overhead Power Lines / C. A. Nucci, F. Rachidi / IEEE Transactions on Power Delivery.—2009.— Vol. 4, no. 1. — Pp. 360–369. — DOI:https://doi.org/10.1109/TPWRD.2008.2002980.

4. Paolone, M. Numerical Analysis of Lightning-Induced Voltages on Overhead Lines Including FrequencyDependent Parameters / M. Paolone, F. Rachidi, M. Rubinstein // IEEE Transactions on Power Delivery. — 2010. — Vol. 25, no. 4. — Pp. 2603–2611. — DOI:https://doi.org/10.1109/TPWRD.2010.2045410.

5. Bermudez, J. L. Lightning-Induced Voltages on Overhead Lines: Models and Numerical Analysis / J. L. Bermudez, M. Rubinstein, F. Rachidi // Electric Power Systems Research — 2013. — Vol. 94. — Pp. 1–10.—DOI:https://doi.org/10.1016/j.epsr.2012.07.003.

6. Bassi, W. Energy Absorption Capability of Surge Arresters under Multiple Lightning Strokes / W. Bassi, S. Visacro // IEEE Transactions on Power Delivery. — 2016.—Vol. 31, no. 2.—Pp. 610–618.—DOI: 10.1109/ TPWRD.2015.2451616.

7. Dommel, H.W. Calculation of Electromagnetic Transients In Transmission Lines with Frequency Dependent Parameters / H.W. Dommel, J. R. Marti // IEEE Transactions on Power Apparatus and Systems — 1978.—Vol. PAS‑97, no. 4.—Pp. 1023–1032.—DOI:https://doi.org/10.1109/TPAS.1978.354464.

8. Ametani, A. Power System Transients: Theory and Applications / A. Ametani, N. Nagaoka, Y. Baba, T. Ohno. — Wiley-IEEE Press, 2013.

9. Hairer, E. Solving Ordinary Differential Equations Ii: Stiff and Differential-Algebraic Problems / E. Hairer, G. Wanner. — Springer, 2010. — DOI:https://doi.org/10.1007/978- 3-642-05221-7.

10. Paolone, M. On the Modeling of Lightning-Induced Voltages on Power Lines / M. Paolone, M. Pignati, F. Rachidi // Electric Power Systems Research. — 2012.—Vol. 82, no. 1.—Pp. 5–15. — DOI:https://doi.org/10.1016/j. epsr.2011.08.006

11. He, J. Performance of Surge Arresters SubjecTed to Lightning Overvoltages / J. He, R. Zeng, S. Chen // IEEE Transactions on Power Delivery. — 2014. — Vol. 29, no. 1. — Pp. 310–317. — DOI:https://doi.org/10.1109/TPWRD.2013.228201212.

12. Cooray, V. Modified Transmission Line Model with a Current Attenuation Function Derived from the Lightning Radiation Field — MTLD Model / V. Cooray, M. Rubinstein, F. Rachidi // Atmosphere. — 2021. — Vol. 12 (2). — Art. 249. — DOI: 10.3390/ atmos12020249.

13. Overvoltages Caused by Direct Lightning Strokes to a Hybrid Overhead Line / L. B. Moraes, A. Piantini, M. Shigihara [et al.] // Electric Power Systems Research. — 2024. — Vol. 229. — Art. 110152. — DOI:https://doi.org/10.1016/j.epsr.2024.110152.

14. Chilan, M. Analysis of Multiconductor Transmission Lines Using the Time Domain Method of Lines / M. Chilan, A. Pirhadi, S. Asadi, S. Helfert // AEU—International Journal of Electronics and Communications. — 2021. — Vol. 138. — Art. 153863. — DOI:https://doi.org/10.1016/j.aeue.2021.153863.

15. Escamilla, J.C. New Model for Overhead Lossy Multiconductor Transmission Lines / J. C. Escamilla, P. Moreno, P. Gómez // IET Generation, Transmission & Distribution. — 2013. — Vol. 7 (11). — Pp. 1185– 1193.—DOI:https://doi.org/10.1049/iet-gtd.2012.0284.

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

17. Lightning-Induced Overvoltage on Overhead Distribution Line. / R. Fu [et al.] // High Voltage.—2025.— DOI:https://doi.org/10.1049/hve2.70095.

18. A Comprehensive Lightning Surge Analysis in Offshore Wind Farm / Q. Sun, L. Yang, Z. Zheng [et al.] // Electric Power Systems Research. — 2022. — Vol. 211. — Art. 108259. — DOI:https://doi.org/10.1016/j. epsr.2022.108259.

19. Shampine, L. F. The MATLAB ODE Suite / L.F. Shampine, M.W. Reichelt // SIAM Journal on Scientific Computing. — 1997. — Vol. 18 (1). — Pp. 1–22. — DOIhttps://doi.org/10.1137/S1064827594276424.

20. Vujević, S. Exponential Approximation of the Heidler Function for the Reproduction of Lightning Current Waveshapes / S. Vujević, D. Lovrić // Electric Power Systems Research. — 2010. — Vol. 80 (10). — Pp. 1293–1298.—DOI:https://doi.org/10.1016/j.epsr.2010.04.012.

21. Development of a Model for Calculation of Energy Absorbed by a ZnO Surge Arrester During Transients / G. Vilar Lira [et al.] // IEEE Transactions on Power Delivery.—2021.—DOI:https://doi.org/10.1109/TPWRD.2021.3054247.

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

23. Venikov, V.A. Teoriya elektricheskih sistem. Elektricheskie sistemy i seti: uchebnik dlya vuzov / V. A. Venikov. — 3‑e izd., pererab. i dop. — M.: Vysshaya shkola, 1988.—512 s.

24. Kim, I. Modeling of Metal-Oxide Surge Arresters / I. Kim, T. Funabashi, H. Sasaki [et al.] // IEEE Transactions on Power Delivery.—1998.—Vol. 13, no. 3.— Pp. 812–819.—DOI:https://doi.org/10.1109/61.686987.

25. Paul, C. R. Analysis of Multiconductor Transmission Lines. — 2nd ed. — Hoboken: Wiley, 2008. — DOI:https://doi.org/10.1002/9780470195474.

26. Cooray, V. Validation and Verification of Lightning Electromagnetic Field Models / V. Cooray, M. Rubinstein // IEEE Transactions on Electromagnetic Compatibility.—2019.—Vol. 61, no. 5.—Pp. 1535– 1545.—DOI:https://doi.org/10.1109/TEMC.2018.2880564.

27. Borghetti, A. Influence of Line Terminations on Lightning-Induced Overvoltages / A. Borghetti, F. Napolitano, C. A. Nucci // IEEE Transactions on Power Delivery.—2014.—Vol. 29, no. 1.—Pp. 402– 409.—DOI:https://doi.org/10.1109/TPWRD.2013.2274082.

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

29. Triverio, P. Time-Domain Modeling of Multiconductor Transmission Lines / P. Triverio, M. Nakhla // IEEE Transactions on Components, Packaging and Manufacturing Technology. — 2012. — Vol. 2, no. 5. — Pp. 837–845. — DOI:https://doi.org/10.1109/TCPMT.2012.2190734.

30. Chilan, M. Convergence Analysis of Multiconductor Transmission-Line Models / M. Chilan, A. Pirhadi, S. Helfert // AEU—International Journal of Electronics and Communications. — 2020. — Vol. 123. — Art. 153304.—DOI:https://doi.org/10.1016/j.aeue.2020.153304.

31. Grcev, L. On the Stability and Accuracy of LightningInduced Voltage Calculations / L. Grcev, F. Rachidi // IEEE Transactions on Electromagnetic Compatibility.—2004.—Vol. 46, no. 3.—P. 443–450.—DOI:https://doi.org/10.1109/TEMC.2004.832814.

32. Escamilla, J. C. Accuracy Assessment of LumpedParameter Transmission Line Models / J. C. Escamilla, P. Moreno // IET Generation, Transmission & Transport automation research. No. 1, Vol. 12, March 2026 71 Distribution. — 2015. — Vol. 9, no. 9. — Pp. 834– 842.—DOI:https://doi.org/10.1049/iet-gtd.2014.0604.

33. Vilar Lira, G. Energy Stress on ZnO Surge Arresters Due to Lightning-Induced Overvoltages / G.Vilar Lira, S.Visacro // IEEE Transactions on Power Delivery. — 2019. Vol. — 34, no. 3. Pp. 1124–1132. — DOI:https://doi.org/10.1109/TPWRD.2018.2877621.

34. Piantini, A. Lightning-Induced Voltages on Overhead Lines: Experimental Validation and Numerical Modeling / A. Piantini, J. M. Janiszewski // IEEE Transactions on Power Delivery. — 2009. — Vol. 24, no. 4. — Pp. 2056–2063. — DOI:https://doi.org/10.1109/TPWRD.2009.2027515.

35. Borghetti, A. Accuracy of Transmission Line Models for Lightning Studies / A. Borghetti, C. A. Nucci, M. Paolone // IEEE Transactions on Power Delivery. — 2011. — Vol. 26, no. 4. — Pp. 1983–1991. — DOI:https://doi.org/10.1109/TPWRD.2011.2159231.

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