Analysis of the Frequency Response of a Grounding System Using the Finite Element Method

  • Arthur Francisco Andrade
  • George R. S. LiraEmail author
  • Pedro Henrique F. Monteiro
  • Helder A. Pereira
  • Edson G. Costa
  • Rômulo O. Teixeira
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 598)


This paper analyzed the frequency response of a simple grounding system, consisting of a rod, through computational simulations. A finite-element-based software for solving the electromagnetic problem governed by differential equations was used. In the simulations, the grounding system was submitted to currents with different frequencies with a spectrum from 60 Hz to 1 MHz. From the relation between the frequency and the calculated impedance, transfer functions that model the behavior of the grounding system were obtained. For the estimation of the function parameters, methods of optimization and curve-fitting methods were used. In addition, since both the resistivity and the electric permittivity attributed to the soil should be considered the simulated response, a sensitivity analysis was performed with different resistivity and permittivity values. Obtaining analytical expressions for the description of the ground response provides a tool for the evaluation of the grounding response to signals in the frequency or time domain. Considering the results obtained in the simulations, it is possible to evaluate how the parameters resistivity and electric permittivity of the soil influence the analytical expression that characterizes a grounding system. Thus, it is planned to compare in a future work the results obtained in the simulation with field experiments.


Computational simulation Finite element method Frequence response Grounding system 



To light SA (Brazilian power utility) by support of this research in the scope of ANEEL (Brazilian regulation agency) R&D program. To the High Voltage Laboratory of Federal University of Campina Grande by provide the necessary infrastructure.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Arthur Francisco Andrade
    • 1
  • George R. S. Lira
    • 1
    Email author
  • Pedro Henrique F. Monteiro
    • 1
  • Helder A. Pereira
    • 1
  • Edson G. Costa
    • 1
  • Rômulo O. Teixeira
    • 2
  1. 1.Departament of Electrical Engineering (DEE), Center of Electrical Engineering and Computer Science (CEEI)Federal University of Campina Grande (UFCG)Campina GrandeBrazil
  2. 2.Light SARio de JaneiroBrazil

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