The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding Systems

This paper introduces an advanced application of the Radial Basis Function-Finite-Difference Time-Domain (RBF-FDTD) method, as proposed in Vu et al., for computing lightning-induced transient voltages in grounding systems. The approach models grounding structures as non-uniform transmission lines, g...

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Main Authors: Xuan-Binh Nguyen, Nhat-Nam Nguyen, Tinh-Minh T. Le, Phan-Tu Vu
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/11021450/
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author Xuan-Binh Nguyen
Nhat-Nam Nguyen
Tinh-Minh T. Le
Phan-Tu Vu
author_facet Xuan-Binh Nguyen
Nhat-Nam Nguyen
Tinh-Minh T. Le
Phan-Tu Vu
author_sort Xuan-Binh Nguyen
collection DOAJ
description This paper introduces an advanced application of the Radial Basis Function-Finite-Difference Time-Domain (RBF-FDTD) method, as proposed in Vu et al., for computing lightning-induced transient voltages in grounding systems. The approach models grounding structures as non-uniform transmission lines, governed by telegrapher&#x2019;s equations with space- and time-varying parameters&#x2014;inductance <inline-formula> <tex-math notation="LaTeX">$L(x,t)$ </tex-math></inline-formula>, conductance <inline-formula> <tex-math notation="LaTeX">$G(x,t)$ </tex-math></inline-formula>, and capacitance <inline-formula> <tex-math notation="LaTeX">$C(x,t)$ </tex-math></inline-formula>&#x2014;while accounting for electromagnetic coupling across complex grounding configurations. Leveraging the method&#x2019;s inherent flexibility and precision, extensive numerical simulations were conducted on two horizontal grounding electrodes and three benchmark grounding grids, validating its capability to accurately capture both localized and distributed transient effects. The results underscore the robustness, computational efficiency, and practical utility of RBF-FDTD in analyzing transient electromagnetic phenomena in power system grounding infrastructures. This study not only confirms the method&#x2019;s superiority in modeling intricate grounding responses but also offers critical insights for enhancing the design and optimization of grounding systems under lightning and fast-transient conditions.
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spelling doaj-art-1bc93a09e85a49c2bb0c711b121c74112025-08-20T03:11:17ZengIEEEIEEE Access2169-35362025-01-0113974879749810.1109/ACCESS.2025.357591311021450The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding SystemsXuan-Binh Nguyen0https://orcid.org/0009-0002-1243-6576Nhat-Nam Nguyen1https://orcid.org/0000-0002-7780-0351Tinh-Minh T. Le2https://orcid.org/0000-0003-1828-4315Phan-Tu Vu3https://orcid.org/0000-0002-5262-0266Department of Power Systems, Ho Chi Minh City University of Technology (HCMUT), Ho Chi Minh City, VietnamDepartment of Power Systems, Ho Chi Minh City University of Technology (HCMUT), Ho Chi Minh City, VietnamDepartment of Power Systems, Ho Chi Minh City University of Technology (HCMUT), Ho Chi Minh City, VietnamDepartment of Power Systems, Ho Chi Minh City University of Technology (HCMUT), Ho Chi Minh City, VietnamThis paper introduces an advanced application of the Radial Basis Function-Finite-Difference Time-Domain (RBF-FDTD) method, as proposed in Vu et al., for computing lightning-induced transient voltages in grounding systems. The approach models grounding structures as non-uniform transmission lines, governed by telegrapher&#x2019;s equations with space- and time-varying parameters&#x2014;inductance <inline-formula> <tex-math notation="LaTeX">$L(x,t)$ </tex-math></inline-formula>, conductance <inline-formula> <tex-math notation="LaTeX">$G(x,t)$ </tex-math></inline-formula>, and capacitance <inline-formula> <tex-math notation="LaTeX">$C(x,t)$ </tex-math></inline-formula>&#x2014;while accounting for electromagnetic coupling across complex grounding configurations. Leveraging the method&#x2019;s inherent flexibility and precision, extensive numerical simulations were conducted on two horizontal grounding electrodes and three benchmark grounding grids, validating its capability to accurately capture both localized and distributed transient effects. The results underscore the robustness, computational efficiency, and practical utility of RBF-FDTD in analyzing transient electromagnetic phenomena in power system grounding infrastructures. This study not only confirms the method&#x2019;s superiority in modeling intricate grounding responses but also offers critical insights for enhancing the design and optimization of grounding systems under lightning and fast-transient conditions.https://ieeexplore.ieee.org/document/11021450/Transientslightninggrounding electrodegrounding gridRBF-FDTD method
spellingShingle Xuan-Binh Nguyen
Nhat-Nam Nguyen
Tinh-Minh T. Le
Phan-Tu Vu
The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding Systems
IEEE Access
Transients
lightning
grounding electrode
grounding grid
RBF-FDTD method
title The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding Systems
title_full The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding Systems
title_fullStr The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding Systems
title_full_unstemmed The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding Systems
title_short The RBF-FDTD Method for Computing Lightning-Transient Voltages on Grounding Systems
title_sort rbf fdtd method for computing lightning transient voltages on grounding systems
topic Transients
lightning
grounding electrode
grounding grid
RBF-FDTD method
url https://ieeexplore.ieee.org/document/11021450/
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