Analysis of the Grounding Resistance of a Hemispheric Electrode Located on a Truncated Cone

Tan, K. B.; Lu, Hongliang; Zhang, Y.; Zuo, W. C.

doi:10.1109/temc.2019.2940902

Cited by 4 publications

(5 citation statements)

References 8 publications

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“…In [18], the solution for the model shown in Fig. 1-b was obtained, splitting the soil into two subsections and summing the respective potentials.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…Using a similar approach as the one used in [18], one can divide the geometry in Fig. 1-c into three subsections.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…[14][15][16][17]). Recently, analytical solutions for the low-frequency response of a hemispheric grounding electrode buried on the top of a cone-shaped mountain characterized by its apex angle were derived [11,18].…”

Section: Introductionmentioning

confidence: 99%

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Grounding Resistance of a Hemispheric Electrode Located on the Top of a Finite-Height, Cone-Shaped Mountain

Šunjerga

Rubinstein

Poljak

et al. 2020

IEEE Trans. Electromagn. Compat.

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In this study, we present an analytical solution for the resistance of a hemispheric grounding electrode located on the top of a mountain. The mountain is modeled as a truncated cone with a finite height. Recently, a closed-form solution for the grounding resistance was derived first for a hemispheric electrode on top of a cone, and later for a more realistic case of a truncated cone with a flat region at its top. The height of the cone was considered infinite in those studies. Here, we extend these studies for the case of a truncated cone with finite height. The analytical solution is compared with numerical simulations and the results agree reasonably well.

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“…In [18], the solution for the model shown in Fig. 1-b was obtained, splitting the soil into two subsections and summing the respective potentials.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…Using a similar approach as the one used in [18], one can divide the geometry in Fig. 1-c into three subsections.…”

Section: Analytical Solutionsmentioning

confidence: 99%

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Grounding Resistance of a Hemispheric Electrode Located on the Top of a Finite-Height, Cone-Shaped Mountain

Šunjerga

Rubinstein

Poljak

et al. 2020

IEEE Trans. Electromagn. Compat.

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“…In addition, the theoretical analysis of the hemispherical electrode (DC framework) has been recently extended to non-flat, cone-shaped, air/ground interfaces [18][19][20]-a relevant issue for structures implanted in hilly areas.…”

Section: Introductionmentioning

confidence: 99%

“…Let us go back to Section 3.2 where the case of steady currents was dealt with, considering that the second electrode (for current return) was remotely positioned at r ∞ → ∞. Now, assume that the results in (11) and (19), exact for ω = 0, are still valid for very low frequencies. In this situation, the near-zero frequency impedance of the electrode would be…”

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confidence: 99%

The Complex Impedance of the Hemispherical Ground Electrode: An Open Analytical Problem

Faria,

Pedro,

Machado

2023

Energies

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The hemispherical ground electrode is a basic electrode whose analysis appears in many textbooks on electromagnetics in chapters dedicated to steady currents. Considering a soil with a given resistivity and an electrode with a given perimeter, the electrode DC resistance is simply calculated from the ratio resistivity/perimeter. Strangely, the generalization of this result to AC regimes is missing. The issue of the frequency-domain impedance of the hemispherical ground electrode has been avoided in the literature despite its trivial geometry. But the problem is indeed not easy; electromagnetic field calculation involves Legendre and Bessel functions; the application of boundary conditions involves an infinite set of points, and some integrals involved need to be calculated recursively. We analyzed the math and physics of the problem but failed to find a closed-form solution. This article with “negative results” can, however, be useful; on one hand it may prevent researchers from wasting their time following the same steps, and, on the other hand, it may attract the interest of new researchers to the subject, ultimately, accelerating its analytical solution (if the solution exists).

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Analysis of Grounding Performance of Tower Grounding Electrodes in Elevated Terrain

Dan,

Zhang,

et al. 2024

IEEE Trans. Power Delivery

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Analysis of the Grounding Resistance of a Hemispheric Electrode Located on a Truncated Cone

Cited by 4 publications

References 8 publications

Grounding Resistance of a Hemispheric Electrode Located on the Top of a Finite-Height, Cone-Shaped Mountain

Grounding Resistance of a Hemispheric Electrode Located on the Top of a Finite-Height, Cone-Shaped Mountain

The Complex Impedance of the Hemispherical Ground Electrode: An Open Analytical Problem

Analysis of Grounding Performance of Tower Grounding Electrodes in Elevated Terrain

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