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On the Use of Electromagnetic Models and the 3D-FDTD Method in the Evaluation of Radiations Due to Lightning Strikes to Tall Objects


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DOI: https://doi.org/10.15866/iree.v18i1.22833

Abstract


The purpose of this paper is the investigation of the use of a lightning return stroke current electromagnetic model and the Finite Difference Time Domain (FDTD) method, in three dimensions, in order to study the Lightning Electromagnetic Pulse (LEMP) due to lightning strikes to tall objects (towers). The proposed approach and the developed code are validated by the comparison with the measured data taken obtained in the specialized literature. The evaluation of the LEMP propagation, in presence of different values of ground conductivity, is finally presented and discussed. It is found out that the use of electromagnetic models, which are close to the physical reality of the lightning phenomena, yields reasonably accurate results. The obtained simulation results, using a calculation code developed on Matlab, have turned out to be in very good agreement with measurement data. It has been found out also that the spatiotemporal current distribution along the tower and the lightning channel is influenced by the conductivity variation. Indeed, the LEMP propagation is significantly affected by both lightning current change and ground conductivity variation. It can be noted that the simulation results obtained can be exploited in order to study the coupling problems between LEMP due to lightning strikes to tall objects with different electrical, electronic and telecommunication systems.
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Keywords


Electromagnetic Models; 3D Finite Difference Time Domain (3D-FDTD) Method; Lightning; Tall Objects; Ground Conductivity; Lightning Electromagnetic Pulse (LEMP); Lightning Current

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References


V. A. Rakov, and M. A. Uman, Review and evaluation of lightning return stroke models including some aspects of their application, IEEE Trans. Electromagnetic Compatibility, vol. 40, n. 4, Nov. 1998, pp. 403 - 426.
https://doi.org/10.1109/15.736202

F. Rachidi, V. A Rakov, C. A Nucci, and J. L. Bermudez, Effect of vertically extended strike object on the distribution of current along the lightning channel, Journal of Geophysical Research, vol. 107, no. D23, p. 4699, 2002.
https://doi.org/10.1029/2002JD002119

Y. Baba and V. A. Rakov On the use of lumped sources in lightning return stroke models, Journal of Geophysical research, Vol. 110, D03101, 2005.
https://doi.org/10.1029/2004JD005202

B. Kordi, R. Moini, W. Janischewskyj, A. M. Hussein, V. O. Shostak, and V. A. Rakov, "Application of the antenna theory model to a tall tower struck by lightning", Journal of Geophysical Research, vol. 108, No. D17, 4542, 2003.
https://doi.org/10.1029/2003JD003398

R. F. Harrington, Field Computation by Moment Methods, (New York: Macmillan, 1968).

Y. Baba and V. A. Rakov, Influence of strike object grounding on close lightning electric field, Journal of Geophysical Research, vol. 113, No. D12109, 2008.
https://doi.org/10.1029/2008JD009811

K. S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas and Propagation. Vol. AP-14, NO 3 pp 302-307, May, 1966.
https://doi.org/10.1109/TAP.1966.1138693

Z. P. Liao, H. L. Wong, B. P. Yang, Y. F. Yuan, A transmitting boundary for transient wave analysis, Scientia Sinica, A27 (10): 1063 - 1076, 1984.

Y. Baba and V. A. Rakov, Electromagnetic Computation Methods for Lightning Surge Protection Studies, (Singapore: Wiley-IEEE Press, 2016).
https://doi.org/10.1002/9781118275658

Y. Baba and V. A. Rakov, Lightning strikes to tall objects: Currents inferred from far electromagnetic fields versus directly measured currents, Geophysical Research Letter., vol. 34, no. L19810, pp. 1-5, 2007.
https://doi.org/10.1029/2007GL030870

F. Rachidi, Modeling lightning return strokes to tall structures: A review, Journal of Lightning Research, vol. 1, pp. 16-31, 2007.

J. L. Bermudez, Far-field-current relationship based on the TL model for lightning return strokes to elevated strike objects, IEEE Transaction on Electromagnetic Compatibility., vol. 47, no. 1, pp. 146-159, Feb. 2005.
https://doi.org/10.1109/TEMC.2004.842102

D. Pavanello, F. Rachidi, M. Rubinstein, J. L. Bermudez, and C. A. Nucci, Electromagnetic field radiated by lightning to tall towers: Treatment of the discontinuity at the return stroke wave front, Journal of Geophysical Research, vol. 109, no. D06114, pp. 1-7, 2004
https://doi.org/10.1029/2003JD004185

A. Mosaddeghi, Radiated Fields from lightning strikes to tall structures: Effect of upward-connecting leader and reflections at the return stroke wave front, IEEE Transaction on Electromagnetic Compatibility., vol. 53, no. 2, pp. 437-445, May 2011.
https://doi.org/10.1109/TEMC.2010.2076815

A. Mimouni, F. Rachidi, and Z. Azzouz, A finite-difference time domain approach for the evaluation of electromagnetic fields radiated by lightning strikes to tall structures, Journal of Electrostatics, vol. 66, no. 9, pp. 504- 513, Sep. 2008.
https://doi.org/10.1016/j.elstat.2008.05.002

M. Omari and A. Mimouni, Electromagnetic Fields at Very Close Range From a Tower Struck by Lightning in Presence of a Horizontally Stratified Ground, IEEE Transaction on Electromagnetic Compatibility, vol. PP, no. 99, pp. 1-8, 2018.
https://doi.org/10.1109/TEMC.2018.2790166

K. Arzag, Z. Azzouz, Y. Baba and B. Ghemri, 3-D FDTD Computation of the electromagnetic fields associated with lightning strikes to a tower climbed on a trapezoidal mountain IEEE Transaction on Electromagnetic Compatibility, Vol. 61, No. 3, pp. 606-616, June 2019.
https://doi.org/10.1109/TEMC.2019.2895689

K. Arzag, Z. Azzouz, Y. Baba 3D-FDTD Calculation of Lightning-Induced Voltages on an Overhead Wire in Presence of a Tower and a Mountain, ICLP-SIPDA-2021, 35 th International Conference on Lightning Protection and XVI International symposium on Lightning Protection, Colombo-Sri Lanka, 20-24 Sept. 2021.
https://doi.org/10.1109/ICLPandSIPDA54065.2021.9627466

Ziane, A., Arzag, K., Azzouz, Z., Computation of Electromagnetic Field Generated by Lightning Strikes to a Tall Object in Presence of a Vertically Stratified Ground Using the 3D-FDTD Method, (2021) International Review of Electrical Engineering (IREE), 16 (3), pp. 257-266.
https://doi.org/10.15866/iree.v16i3.19478

C. Paul and F. H. Heidler, Simultaneous Upward Lightning From Small Structures and From the 150 m High Peissenberg Tower, Germany, in IEEE Transactions on Electromagnetic Compatibility, vol. 64, no. 4, pp. 1198-1205, Aug. 2022.
https://doi.org/10.1109/TEMC.2022.3168491

M. A. Talbi, K. Arzag, Z. Azzouz Analysis of Lightning Current Using Electromagnetic Models and 3D-FDTD Method in Presence of a Tall Object ICLP 2021, 36 th International Conference on Lightning Protection, Cape Town, Soth Africa, 2-7 Oct. 2022.
https://doi.org/10.1109/ICLP56858.2022.9942509

Y. Baba and V. A. Rakov Electromagnetic models of the lightning return stroke, Journal of Geophysical research. Vol. 112, D04102, 2007.
https://doi.org/10.1029/2006JD007222

A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain method (Second Edition, Artech House, Boston-London, 2000).

S. Guerrieri, F. Heidler, C.A. Nucci, F. Rachidi, M. Rubinstein, Extension of two return stroke models to consider the influence of elevated strike objects on the lightning return stroke current and the radiated electromagnetic field: comparison with experimental results, International Symposium on Electromagnetic Compatibility, EMC'96 Roma, September 17-20, 1996.

S. Guerrieri , C. Nucci, F. Rachidi, and M. Rubinstein On the Influence of Elevated Strike Objects on Directly Measured and Indirectly Estimated Lightning Currents, IEEE Transaction on Power Delivery, Vol. 13, NO 4, October 1998.
https://doi.org/10.1109/61.714865

YJ. L. Bermudez, M. Rubinstein, F. Rachidi, F. Heidler and M. Paolone Determination of reflection coefficients at the top and bottom of elevated strike objects struck by lightning, Journal of Geophysical research. Vol. 108, D14, 4413, 2003.
https://doi.org/10.1029/2002JD002973

Arzag, K., Azzouz, Z., Ghemri, B., 3D-FDTD Computation of Lightning Return Stroke Current and Associated Electromagnetic Field Using Electromagnetic Models, (2016) International Review of Electrical Engineering (IREE), 11 (5), pp. 517-525.
https://doi.org/10.15866/iree.v11i5.9697

K. Arzag, Z. Azzouz, Y. Baba, B. Ghemri, 3D Computation of lightning electromagnetic fields in the presence of a horizontally stratified ground, International Journal of Power and Energy Systems, Vol. 37, No. 4, pp 120-128, 2017.
https://doi.org/10.2316/Journal.203.2017.4.203-6284

K. Arzag, Z. Azzouz, and B. Ghemri, Lightning Radiation Evaluation Using Electromagnetic Models, Journal of Electrical Systems, Vol. 14, No. 2, pp.53-63, 2018.

K. Arzag, B. Ghemri, Z. Azzouz, Lightning Electric and Magnetic Fields Computation using the 3D-FDTD Method and Electromagnetic Models in Presence of Different Ground Configurations, IEEJ. Transaction on Power and Energy, Vol. 138, No. 5, pp 315-320, Mai, 2018.
https://doi.org/10.1541/ieejpes.138.315

F. Heidler, Analytic lightning current functions for LEMP calculations, 18th ICLP International Conference on Lightning Protection, pp. 63-66 Munich, Germany, 1985.

Belikova, M., Baranovskiy, N., Karanin, A., Karanina, S., Skrypnik, A., Assessment of the Uncertainty for the Spatial Distribution of Lightning Discharge Density Based on the Smoothed Bootstrap Procedure and WWLLN Data: a Case Study, (2022) International Journal on Engineering Applications (IREA), 10 (2), pp. 138-148.
https://doi.org/10.15866/irea.v10i2.20850

Abulaban, H., Siow, C., Recent Progress on Lightning Risk Assessment and its Applications in Malaysia, (2021) International Review of Electrical Engineering (IREE), 16 (1), pp. 41-49.
https://doi.org/10.15866/iree.v16i1.18426


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