GPR of Multiple Vertical Rods under Lightning Strokes Considering Ionization, Dispersion, and Non-Homogeneity of Lossy Soils

Document Type : Research Article

Authors

1 Faculty of Engineering, Arak University, Arak, Iran

2 Research Institute of Renewable Energy, Arak University, Arak, 38156-88349, Iran.

3 Faculty of Engineering, Arak University, Arak, Iran,

4 Faculty of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran.

Abstract

In this paper, the effects of ionization and dispersion of a lossy soil on the Grounding Potential Rise (GPR) of buried multiple vertical rods under lightning return strokes are simultaneously studied. In all studies, an efficient modeling method, called improved Multiconductor Transmission Line, is adopted. In the case of a single rod, it is shown that the simultaneous occurrence of soil ionization and dispersion causes further reduction in the value of GPR as compared to the case where each phenomenon takes place separately. The amount of reduction is further accentuated when treating highly resistive soils and fast-fronted lightning currents. In the case of multiple rods, however, the value of GPR in both ionized and dispersed soil lies between those of the only-ionized and only-dispersive soils. Besides, the sensitivity analysis of the non-homogeneity effect in ionized and dispersive soils provides a comprehensive platform to study the soil dependence of the GPR of buried rods in a multi[1]layer soil. Finally, closed-form expressions are proposed that can accurately predict the value of GPR for both single and multiple rods buried in a dispersive and ionized lossy soil when subjected to a lightning current waveform.

Keywords

Main Subjects


[1] Jinliang He, “Progress in Lightning Impulse Characteristics of Grounding Electrodes With Soil Ionization,” IEEE Transaction on Industry Application, vol. 51, pp. 4924-4933, 2015.
[2] S. Visacro, “What Engineers in Industry Should Know About the response of Grounding Electrodes Subjected to Lightning Currents”, IEEE Transaction on Industry Application, vol. 51,pp. 4943-4951, 2015.
[3] M. Akbari, K. Sheshyekani, M. Reza Alemi, “The Effect of Frequency Dependence of Soil Electrical Parameters on the Lightning Performance of Grounding Systems”, IEEE Transactions on Electromagnetic Compatibility, . vol. 55, pp. 739-746, 2013.
[4] S. Visacro, Rafael Alipio, “Frequency Dependence of Soil Parameters: Experimental Results, Predicting Formula and Influence on the Lightning Response of Grounding Electrodes”, IEEE Transactions on Electromagnetic Compatibility, vol. 27, pp. 927-935, 2012.
[5] R. Alipio, S. Visacro, “Modeling the Frequency Dependence of Electrical Parameters of Soil”, IEEE Transactions on Electromagnetic Compatibility, vol. 15, pp. 1163-1171, 2014.
[6] G. Ala, P. L. Buccheri, P. Romano, F. Viola, “Finite Difference Time Domain Simulation of Earth Electrodes Soil Ionization under Lightning Surge Conditions,” IET Science, Measurement Technology, vol. 2, pp. 134–135, 2008.
[7] Z. Feng, X. Wen, X. Tong, H. Lu, L. Lan, P. Xing, “Impulse Characteristics of Tower Grounding Devices Considering Soil Ionization by the Time-Domain Difference Method”, IEEE Transactions on Power Delivery, vol. 30, pp. 1906-1913, 2015.
[8] J. Wu, B. Zhang, J. He, R. Zeng, “A Comprehensive Approach for Transient Performance of Grounding System in the Time Domain”, IEEE Transactions on Electromagnetic Compatibility, vol. 57, pp. 250-256, 2015.
[9] O. Kherif, S. Chiheb, M. Teguar, A. Mekhaldi, N. Harid, “Time-Domain Modeling of Grounding Systems’ Impulse Response Incorporating Nonlinear and Frequency-Dependent Aspects”, IEEE Transactions on Electromagnetic Compatibility, vol. 60,pp. 907-916, 2018.
[10] M. Moradi, “Analysis of Transient Performance of Grounding System Considering Frequency-Dependent Soil Parameters and Ionization”, IEEE Transactions on Electromagnetic Compatibility, vol. 62, pp. 785-797, 2019.
[11] Jalil Ghayur Safar, Reza Shariatinasab, Jinliang He, “Comprehensive Modeling of Grounding Electrodes Buried in Ionized Soil Based on MoM-HBM Approach”, IEEE Trans. Power. Del. vol. 57,pp. 1627-1636, 2019.
[12] A. Jardines, J. L. Guardado, J. Torres, J. J. Chavez, M. Hernandez, “A Multiconductor Transmission Line Model for Grounding Grid”, Electrical Power and Energy Systems, vol. 60, pp. 24-33, 2014.
[13] S. S. Sajjadi, S. R. Ostadzadeh, “Lightning response of Multi-port Grounding Grids Buried in Dispersive Soils: An Approximation versus Full Wave Methods and Experiment”, Advanced Electromagnetics, vol.8, pp. 43- 50, 2019.
[14] S. S. Sajjadi, V. Aghajani, S. R. Ostadzadeh, “Transient Analyses of Grounding Electrodes Considering Ionization and Dispersion Aspects of Soils Simultaneously: An Improved Multiconductor Transmission Line Model (Improved MTL)”, Applied Computational Electromagnetic Society Journal (ACES), vol. 34, pp. 731-737, 2019.
[15] R. Alipio, S. Visacro, “Impulse Efficiency of Grounding Electrodes: Effect of Frequency-Dependent Soil Parameters,” IEEE Transaction on Power Delivery, vol. 29, pp. 716-723, 2014.
[16] L. Grcev, “Impulse efficiency of Ground Electrodes”, IEEE Transaction on Power Delivery, vol. 24, pp. 441- 451, 2009.
[17] Chang CN, Lee CH. “Computation of ground resistances and assessments of ground grid safety at 161/23.9 kV indoor-type substation”, IEEE Trans. Power Del., vol. 21, pp. 873-878, 2006.
[18] Rafael Alipio, and S. Visacro, “Modeling the Frequency Dependence of Electrical Parameters of Soil”, IEEE Transactions on Electromagnetic Compatibility, vol. 15, no. 1, pp.1163-1171, 2014.
[19] E. E. Oettle, “A new general estimation curve for predicting the impulse impedance of concentered earth electrodes,” in Proc. IEEE Power Eng. Soc. Summer Meeting, San Francisco, CA, USA, Jul. 1987, pp. 2980– 2982.
[20] S. S. Sajjadi, S. R. Ostadzadeh, and S. H. H. Sadeghi, “Parametric dependence of lightning impulse behavior of grounding electrodes buried in a dispersive and ionized lossy soil under first- and subsequent-stroke currents”, COMPEL-The international journal for computation and mathematics in Electrical and Electronic Engineering”, vol. 39, no. 4, p. 757-773, 2020.
[21] S. S. Sajjadi, V. Aghajani, and S. R. Ostadzadeh, “Comprehensive formulae for effective length of multiple grounding electrodes considering different aspects of soils: Simplified multiconductor transmission line[1]intelligent water drop approach”, Int. J Numer Model El. vol. 33, no. 4, p. 1-19, 2020.
[22] S. R. Ostadzadeh, “Validity of improved MTL for effective length of counterpoise wires under low and high[1]valued lightning currents”, Advanced Electromagnetics, vol. 9 no. 1, pp. 70-77, 2020.
[23] Saeed Reza Ostadzadeh, and Seyyed Sajjad Sajjadi, “Effective area of grounding grids in frequency[1]variant soils: causality versus non-causality”, Electrical Engineering, vol. 104, pp. 2123-2131, 2022.
[24] V. Aghajani, S. S. Sajjadi, and S. R. Ostadzadeh, “Design of grounding vertical rods buried in complex Soils using radial basis functions”, Journal of Communication Engineering, vol. 7, no. 2, pp. 30-40, 2018.
[25] S. S. Sajjadi, and S. R. Ostadzadeh, “Predicting formulae for effective length of counterpoise wires buried in ionized, dispersive and inhomogeneous soils”, COMPEL-The international journal for computation and mathematics in Electrical and Electronic Engineering”, vol. 39, no. 6, pp. 1375-1391, 2020.
[26] R. Alipio et al, “Grounding Modeling using Transmission Line Theory: Etension to Arrangements Composed of Multiple Electrodes”, 33rd International Conference on Lighnting Protection, Sep., 2016.
[27] A. C. Liew and M. Darveniza, “Dynamic Model of Impulse Characteristics of Concentrated Earths,” Proc. IEE, vol. 121, pp. 123-135, 1974.
[28] R. Shariatinasab, J. Ghayur Safar, J. Gholinezhad, and J. He, “Analysis of Lightning-Related Stress in Transmission Lines Considering Ionization and Frequency-Dependent Properties of the Soil in Grounding Systems”, IEEE Transactions on Electromagnetic Compatibility, vol. 62, pp. 2849-2857, 2020.
[29] A. Bahrami, S. R. Ostadzadeh, “Back Scattering from Single, Finite, and Infinite Array of Nonlinear Antennas Based on Intelligent Water Drops”, International journal for computation and mathematics in electrical and electronic engineering, vol. 38 no. 6, pp. 2040-2056, 2019.
[30] A. Bahrami, S. R. Ostadzadeh, “Comprehensively efficient analysis of nonlinear wire scatterers considering lossy ground and multi-tone excitations”, Applied Computational Electromagnetic Society Journal (ACES), vol. 35, no.8, pp. 878-886, 2020.
[31] Hamid Samieean, Saeed Reza Ostadzadeh, Amin Mirzaie, “Application of intelligent water drops in transient analysis of single conductor overhead lines terminated to grid-grounded arrester under direct lightning strikes”, Journal of Communication Engineering, vol. 5 no. 1, pp. 50-59, 2016.