Meshless IEFGM‐Based Numerical Modeling of Grounding Systems With Counterpoise Wires.

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Title: Meshless IEFGM‐Based Numerical Modeling of Grounding Systems With Counterpoise Wires.
Authors: Resende, Ursula C.1 (AUTHOR) resendeursula@cefetmg.br, Vieira, Jean L. M.1 (AUTHOR), Amorim, Victor G. L. C.1 (AUTHOR)
Source: International Journal of Numerical Modelling. Jan/Feb2026, Vol. 39 Issue 1, p1-9. 9p.
Subjects: Electric current grounding, Numerical solutions to boundary value problems, Iterative methods (Mathematics), Electric transients, Computer simulation, Earth resistance (Geophysics)
Abstract: This paper presents a comprehensive numerical analysis of a counterpoise grounding wire subjected to low‐frequency surge currents, employing the Interpolating Element‐Free Galerkin Method (IEFGM). The analysis involves significant challenges arising from the high ratio between the conductor length and its radius—which demands fine spatial resolution—and from the asymmetric current injection, which requires a three‐dimensional representation over an extensive computational domain. To address these issues, the domain is reduced through the application of artificial boundary conditions with prescribed electric potentials, alongside an optimized distribution of nodes and Gauss integration points. Furthermore, a tailored mathematical formulation is proposed to incorporate the surge current directly into the model, enhancing the physical fidelity of the simulation. The IEFGM proves well suited for this task, offering numerical stability, consistent convergence behavior, and the flexibility to handle complex three‐dimensional geometries. Validation is carried out by comparing the computed grounding resistance with analytical approach, and a detailed convergence study investigates the influence of domain size, nodal spacing, and integration parameters. The results confirm the robustness and accuracy of the proposed methodology. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Numerical Modelling is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Meshless IEFGM‐Based Numerical Modeling of Grounding Systems With Counterpoise Wires.
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  Data: <searchLink fieldCode="AR" term="%22Resende%2C+Ursula+C%2E%22">Resende, Ursula C.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> resendeursula@cefetmg.br</i><br /><searchLink fieldCode="AR" term="%22Vieira%2C+Jean+L%2E+M%2E%22">Vieira, Jean L. M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Amorim%2C+Victor+G%2E+L%2E+C%2E%22">Amorim, Victor G. L. C.</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Numerical+Modelling%22">International Journal of Numerical Modelling</searchLink>. Jan/Feb2026, Vol. 39 Issue 1, p1-9. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Electric+current+grounding%22">Electric current grounding</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+boundary+value+problems%22">Numerical solutions to boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+transients%22">Electric transients</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Earth+resistance+%28Geophysics%29%22">Earth resistance (Geophysics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a comprehensive numerical analysis of a counterpoise grounding wire subjected to low‐frequency surge currents, employing the Interpolating Element‐Free Galerkin Method (IEFGM). The analysis involves significant challenges arising from the high ratio between the conductor length and its radius—which demands fine spatial resolution—and from the asymmetric current injection, which requires a three‐dimensional representation over an extensive computational domain. To address these issues, the domain is reduced through the application of artificial boundary conditions with prescribed electric potentials, alongside an optimized distribution of nodes and Gauss integration points. Furthermore, a tailored mathematical formulation is proposed to incorporate the surge current directly into the model, enhancing the physical fidelity of the simulation. The IEFGM proves well suited for this task, offering numerical stability, consistent convergence behavior, and the flexibility to handle complex three‐dimensional geometries. Validation is carried out by comparing the computed grounding resistance with analytical approach, and a detailed convergence study investigates the influence of domain size, nodal spacing, and integration parameters. The results confirm the robustness and accuracy of the proposed methodology. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Numerical Modelling is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1002/jnm.70150
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 9
        StartPage: 1
    Subjects:
      – SubjectFull: Electric current grounding
        Type: general
      – SubjectFull: Numerical solutions to boundary value problems
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Electric transients
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Earth resistance (Geophysics)
        Type: general
    Titles:
      – TitleFull: Meshless IEFGM‐Based Numerical Modeling of Grounding Systems With Counterpoise Wires.
        Type: main
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            NameFull: Resende, Ursula C.
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            NameFull: Vieira, Jean L. M.
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          Name:
            NameFull: Amorim, Victor G. L. C.
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            – D: 01
              M: 01
              Text: Jan/Feb2026
              Type: published
              Y: 2026
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              Value: 39
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            – TitleFull: International Journal of Numerical Modelling
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