journal article·2025-06-07Open access

Lightning-Induced Voltages over Gaussian-Shaped Terrain Considering Different Lightning Strike Locations

Jiawei Niu, Jinbo Zhang, Yan Tao, Junhua Zou, Qilin Zhang, Zhibin Xie, Yajun Wang, Xiaolong Li

Applied Sciences· Volume 15· Issue 12

Abstract

Lightning-induced voltages (LIVs) computation is crucial for lightning protection of power systems and equipment, yet the effect of complex terrain on LIVs remains not fully evaluated. This study establishes a three-dimensional finite-difference time-domain model to investigate the LIVs over Gaussian-shaped mountainous terrain, considering different lightning strike locations. Simulation results show that the influence of Gaussian-shaped mountains on LIVs is directly related to the lightning strike location. Compared with the flat ground scenario, the LIVs’ amplitude can increase by approximately 56% when lightning strikes the mountain top. However, for lightning strikes to the ground adjacent to the mountain, the LIVs’ amplitude is attenuated to varying degrees due to the shielding effect of the mountain. Additionally, the influences of line configuration, as well as mountain height and width on the LIVs, are evaluated.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Lightning and Electromagnetic Phenomena · Fire effects on ecosystems · Plant responses to water stress

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Ocean College, Jiangsu University of Science and Technology, Zhenjiang 212013, China

Key Laboratory of Meteorological Disaster, Ministry of Education (KLME)/Joint International Research Laboratory of Climate and Environment Change (ILCEC)/Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disaster (CIC-FEMD)/Key Laboratory for Aerosol-Cloud-Precipitation of China Meteorological Administration, Nanjing University of Information Science and Technology, Nanjing 210044, China

Funding

National Natural Science Foundation of China · Natural Science Foundation of Jiangsu Province · PhD Research Startup Foundation of Jiangsu University of Science and Technology

References (55)

Show source-provided references
1. Overview of Recent Progress in Lightning Research and Lightning Protection10.1109/TEMC.2009.2019267 ↗
2. Lightning Protection on Photovoltaic Systems: A Review on Current and Recommended Practices10.1016/j.rser.2017.07.008 ↗
3. Chowdhuri, P. (2001, January 2). Parameters of Lightning Strokes and Their Effects on Power Systems. Proceedings of the 2001 IEEE/PES Transmission and Distribution Conference and Exposition: Developing New Perspectives, Atlanta, GA, USA.
4. Electromagnetic Fields Radiated from a Lightning Return Stroke: Application of an Exact Solution to Maxwell’s Equations10.1029/JC083iC05p02377 ↗
5. Determination of the Striking Distance of a Lightning Rod Using Finite Element Analysis10.3906/elk-1311-175 ↗
6. Use of the Full-Wave Finite Element Method for the Numerical Electromagnetic Analysis of LEMP and Its Coupling to Overhead Lines10.1016/j.epsr.2012.05.002 ↗
7. Applications of the FDTD Method to Lightning Electromagnetic Pulse and Surge Simulations10.1109/TEMC.2014.2331323 ↗
8. Computation of Lightning Horizontal Field Over the Two-Dimensional Rough Ground by Using the Three-Dimensional FDTD10.1109/TEMC.2013.2266479 ↗
9. An FDTD Model for Low and High-Altitude Lightning-Generated EM Fields10.1109/TAP.2006.874336 ↗
10. Analysis of Electromagnetic Fields Inside a Reinforced Concrete Building with Layered Reinforcing Bar Due to Direct and Indirect Lightning Strikes Using the FDTD Method10.1109/TEMC.2015.2400132 ↗
11. La Fata, A., Nicora, M., Mestriner, D., Aramini, R., Procopio, R., Brignone, M., and Delfino, F. (2023). Lightning Electromagnetic Fields Computation: A Review of the Available Approaches. Energies, 16.10.3390/en16052436 ↗
12. A Review of Field-to-Transmission Line Coupling Models with Special Emphasis to Lightning-Induced Voltages on Overhead Lines10.1109/TEMC.2011.2181519 ↗
13. The Response of Terminated Two-Wire Transmission Line Excited by Nonuniform Electromagnetic Field10.1109/TAP.1965.1138574 ↗
14. Formulation of Field-to-Transmission Line Coupling Equations in Terms of Magnetic Excitation Field10.1109/15.277316 ↗
15. Transient Response of Multiconductor Transmission Lines Excited by a Nonuniform Electromagnetic Field10.1109/TEMC.1980.303824 ↗
16. Numerical Electromagnetic Analysis of Lightning-Induced Voltage over Ground of Finite Conductivity10.1109/TEMC.2003.819065 ↗
17. Liu, Y., Jiang, Y., Gao, Q., Li, X., Yang, G., Zhang, Q., and Tang, B. (2022). Influences of Soil Water Content and Porosity on Lightning Electromagnetic Fields and Lightning-Induced Voltages on Overhead Lines. Front. Environ. Sci., 10.10.3389/fenvs.2022.946551 ↗
18. A Field Study of Lightning Overvoltages in Low-Voltage Distribution Lines10.1002/eej.21299 ↗
19. Analysis of the Impact of Ground Conductivity, Source Current Speed, and Source Current Rise Time on Peak Induced Voltage on Overhead Conductors10.1007/s44291-025-00044-3 ↗
20. Three-Dimensional Modeling on Lightning Induced Overvoltage for Photovoltaic Arrays Installed on Mountain10.1016/j.jclepro.2020.125084 ↗
21. The Indirect-Lightning Performance of Overhead Distribution Line Considering the Mixed Ocean–Land Propagation Path
22. On Lightning Electromagnetic Field Propagation Along an Irregular Terrain10.1109/TEMC.2015.2483018 ↗
23. Mestriner, D., Marchesoni, F., Procopio, R., and Brignone, M. (2022). Attenuation of Lightning-Induced Effects on Overhead Distribution Systems in Urban Areas. Appl. Sci., 12.10.3390/app12157632 ↗
24. Estimation of the Lightning Performance of Overhead Lines Accounting for Different Types of Strokes and Multiple Strike Points10.1109/TEMC.2021.3060139 ↗
25. 3-D FDTD Analysis of Lightning-Induced Voltages in Distribution Lines Due to Inclined Lightning10.1109/TEMC.2020.3009096 ↗
26. Petrarca, C., Balato, M., Verolino, L., Andreotti, A., and Assante, D. (2023). Computation of Electric and Magnetic Fields Generated by Cloud-to-Cloud Lightning Channels. Energies, 16.10.3390/en16114524 ↗
27. Computation of Lightning-Induced Voltages Considering Ground Impedance of Multi-Conductor Line for Lossy Dispersive Soil10.1109/TPWRD.2021.3111149 ↗
28. Evaluation of the Lightning-Induced Voltages of Multiconductor Lines for Striking Cone-Shaped Mountain10.1109/TEMC.2018.2869752 ↗
29. Electromagnetic Field Due to Lightning Striking on Top of a Cone-Shaped Mountain Using the FDTD10.1109/TEMC.2014.2301138 ↗
30. Lightning-Induced Voltages on Overhead Lines over Irregular Terrains10.1016/j.epsr.2019.105941 ↗
31. Computation of Lightning-Induced Voltages for Striking Oblique Cone-Shaped Mountain by 3-D FDTD Method10.1109/TEMC.2018.2869607 ↗
32. 3-D FDTD Computation of Electromagnetic Fields Associated with Lightning Strikes to a Tower Climbed on a Trapezoidal Mountain10.1109/TEMC.2019.2895689 ↗
33. Zaini, N.H., Ab Kadir, M.Z.A., Mohd Radzi, M.A., Izadi, M., Azis, N., Ahmad, N.I., and Nasir, M.S.M. (2017). Lightning Surge Analysis on a Large Scale Grid-Connected Solar Photovoltaic System. Energies, 10.10.3390/en10122149 ↗
34. Ahmad, N.I., Ali, Z., Ab Kadir, M.Z.A., Osman, M., Zaini, N.H., and Roslan, M.H. (2021). Impacts of Lightning-Induced Overvoltage on a Hybrid Solar PV–Battery Energy Storage System. Appl. Sci., 11.10.3390/app11083633 ↗
35. Investigation on Induced Voltage of Photovoltaic System on Complex Terrain10.1016/j.epsr.2021.107549 ↗
36. Electromagnetic-Wave Propagation along Curved Surfaces10.1103/PhysRevA.80.043805 ↗
37. Propagation Modeling over Terrain Using the Parabolic Wave Equation10.1109/8.833076 ↗
38. Yu, J., Gu, S., Liu, J., and Liu, H. (2024). Indirect lightning performance of 10-kV overhead distribution lines. Front. Energy Res., 12.10.3389/fenrg.2024.1367183 ↗
39. Finite-Difference Time-Domain Methods10.1038/s43586-023-00257-4 ↗
40. Simulation and Analysis of Lightning Strikes in Electrical Systems by MATLAB/SIMULINK and ATP/EMTP10.5935/jetia.v10i47.1116 ↗
41. Using a two-step finite-difference time-domain method to analyze lightning-induced voltages on transmission lines10.1109/TEMC.2010.2087413 ↗
42. Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations10.1109/TEMC.1981.303970 ↗
43. A Conformal Finite Difference Time Domain Technique for Modeling Curved Dielectric Surfaces10.1109/7260.905957 ↗
44. A Conformal FDTD Algorithm for Modeling Perfectly Conducting Objects with Curve-Shaped Surfaces and Edges10.1002/1098-2760(20001020)27:2<136::AID-MOP16>3.0.CO;2-Q ↗
45. Calculation of Lightning Current Parameters10.1109/61.754080 ↗
46. Lightning-Induced Voltages on Overhead Lines10.1109/15.249398 ↗
47. Nucci, C.A., Mazzetti, C., Rachidi, F., and Ianoz, M.V. (1988, January 25–29). On Lightning Return Stroke Models for LEMP Calculations. Proceedings of the 19th International Conference on Lightning Protection, Graz, Austria.
48. On the Transmission Line Model for Lightning Return Stroke Representation10.1029/2003GL018407 ↗
49. Comparison of Lightning Return-Stroke Models10.1029/93JD02185 ↗
50. Survey on Analytical and Numerical Methods for Lightning-Induced Voltages Calculations10.1007/s00202-023-02024-w ↗
51. Analysis of Lightning Electromagnetic Field Propagation in Mountainous Terrain and Its Effects on ToA-Based Lightning Location Systems10.1002/2015JD024234 ↗
52. Effect of Striking a Cone-Shaped Mountain Top on the Far Lightning-Radiated Electromagnetic Field10.1109/TEMC.2018.2843772 ↗
53. Shielding Effect of Surrounding Buildings on the Lightning-Generated Vertical Electric Field at the Top of a Tall Building
54. On the Propagation of Lightning-Radiated Electromagnetic Fields Across a Mountain10.1109/TEMC.2019.2947095 ↗
55. The Field Shielding Effect of Mountain on the Lightning Electromagnetic Field