FDTD Evaluation of LEMP Considering the Lossy Dispersive Ground.

Authors

  • Zheng Sun National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering PLA Army Engineering University, Nanjing, 210007, China
  • Lihua Shi National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering PLA Army Engineering University, Nanjing, 210007, China
  • Yinghui Zhou National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering PLA Army Engineering University, Nanjing, 210007, China
  • Bo Yang National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering PLA Army Engineering University, Nanjing, 210007, China
  • Wenwen Jiang National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering PLA Army Engineering University, Nanjing, 210007, China

Keywords:

Dispersive soil, FDTD, LEMP, SARC, vector-fitting

Abstract

An accurate evaluation of lightning electromagnetic pulse (LEMP) using the finite-difference time-domain (FDTD) method in 2-D cylindrical coordinates is studied, which takes the soil dispersion into account. The parameters of engineering soil models are reformed by the vector-fitting (VF) scheme, for an efficient handling in FDTD. The FDTD updating equations for the dispersive soil are developed with the semi-analytical recursive convolution (SARC) algorithm. The cylindrical CPML is also developed for truncating the dispersive soil. The efficiency of the proposed method is validated by comparing the numerical results with the Cooray-Rubinstein (CR) approximation. The proposed method provides an accurate FDTD evaluation of LEMP considering the soil dispersion and can be further incorporated into the simulations of more complicated LEMP problems.

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References

M. Paolone, F. Rachidi, A. Borghetti, et al., “Lightning electromagnetic field coupling to overhead lines: Theory, numerical simulations, and experimental validation,” IEEE Trans. Electromagn. Compat., vol. 51, no. 3, pp. 532-547, 2009.

M. Albani, A. Mazzinghi, and A. Freni, “Rigorous MoM analysis of finite conductivity effects in RLSA antennas,” IEEE Trans. Antennas Propagat., vol. 59, no. 11, pp. 4023-4032, 2011.

C. Yang and B. Zhou, “Calculation method of electromagnetic field very close to lightning,” IEEE Trans. Electromagn. Compat., vol. 49, no. 1, pp. 133-141, 2004.

Y. Baba and V. A. Rakov, “Voltages induced on an overhead wire by lightning strikes to a nearby tall grounded object,” IEEE Trans. Electromagn. Compat., vol. 48, no. 1, pp. 212-224, 2006.

B. Yang, B. Zhou, C. Gao, et al., “Using a two-step finite-difference time-domain method to analyze lightning induced voltages on transmission lines,” IEEE Trans. Electromagn. Compat., vol. 53, no. 1, pp. 256-260, 2011.

M. Akbari, K. Sheshyekani, A. Pirayesh, et al., “Evaluation of lightning electromagnetic fields soil electrical parameters and their induced voltages on overhead lines considering the frequency dependence,” IEEE Trans. Electromagn. Compat., vol. 55, no. 6, pp. 1210-1219, 2013.

J. Paknahad, K. Sheshyekani, F. Rachidi, et al., “Evaluation of lightning-induced currents on cables buried in a lossy dispersive ground,” IEEE Trans. Electromagn. Compat., vol. 56, no. 6, pp. 1522-1529, 2014.

P. B. Johns and R. B. Beurle, “Numerical solutions of 2-dimensional scattering problems using a transmission-line matrix,” Proc. IEE, vol. 118, no. 9, pp. 1203-1208, 1971.

A. Ruehli, “Equivalent circuit models for threedimensional multiconductor systems,” IEEE Trans. Microw. Theory Techn., vol. 22, no. 3, pp. 216-221, 1974.

B. Gustavsen and A. Semlyen, “Rational approx.- imation of frequency domain responses by vector fitting,” IEEE Transactions on Power Delivery, vol. 14, no. 3, pp. 1052-1061, 1999.

Y. Q. Zhang and D. B. Ge, “A unified FDTD approach for electromagnetic analysis of dispersive objects,” Progress in Electromagnetics Research, vol. 96, pp. 155-172, 2009.

V. Cooray, “Some considerations on the ‘Cooray– Rubinstein’ approximation used in deriving the horizontal electric field over finitely conducting ground,” IEEE Trans. Electromagn. Compat., vol. 44, no. 4, pp. 560-565, 2002.

A. Taflove and S. C. Hagness, Computational Electrodynamics The Finite-Difference TimeDomain Method, 3rd ed., Norwood, MA: Artech House, 2005.

C. L. Longmire and K. S. Smith, “A universal impedance for soils,” Defense Nuclear Agency, Topical Report for Period, Santa Barbara, CA, USA, 1975.

D. Cavka, N. Mora, and F. Rachidi, “A comparison of frequency-dependent soil models: Application to the analysis of grounding systems,” IEEE Trans. Electromagn. Compat., vol. 48, no. 1, pp. 177-187, 2013.

G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations,” IEEE Trans. Electromagn. Compat., vol. 23, pp. 377-382, 1981.

J. A. Roden and S. D. Gedney, “Convolution PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media,” Microw. Opt. Tech. Lett., vol. 27, no. 5, pp. 334-339, 2000.

J. Liu, G. Wan, J. Zhang, and X. Xi, “An effective CFS-PML implementation for cylindrical coordinate FDTD method,” IEEE Microw. Wireless Compon. Lett., vol. 22, no. 6, pp. 300-302, 2012.

V. A. Rakov and A. A. Dulzon, “Calculated electromagnetic fields of lightning return stroke,” Tekh. Elektr., no. 1, pp. 87-89, 1987.

F. Heidler, “Travelling current source model for LEMP calculation,” Proc. 6th Int. Symp. Electromagn. Compat., Zurich, Switzerland, pp. 157-162, 1985.

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Published

2021-07-27

How to Cite

[1]
Zheng Sun, Lihua Shi, Yinghui Zhou, Bo Yang, and Wenwen Jiang, “FDTD Evaluation of LEMP Considering the Lossy Dispersive Ground”., ACES Journal, vol. 33, no. 01, pp. 7–14, Jul. 2021.

Issue

2018: Vol 33 Iss 1

Section

General Submission