A Discrete Resistance Network Based on a Multiresolution Grid for 3D Ground-Return Current Forward Modeling

Lijun Duan, Xiao Feng, Ruiheng Li (), Tianyang Li, Yi Di () and Tian Hao
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Lijun Duan: School of Computer, Hubei University of Education, Wuhan 430205, China
Xiao Feng: School of Economics and Business Administration, Chongqing University, Chongqing 400044, China
Ruiheng Li: Hubei Key Laboratory of Digital Finance Innovation, Hubei University of Economics, Wuhan 430205, China
Tianyang Li: School of Resources and Safety Engineering, Chongqing University, Chongqing 400044, China
Yi Di: Hubei Key Laboratory of Digital Finance Innovation, Hubei University of Economics, Wuhan 430205, China
Tian Hao: Hubei Key Laboratory of Digital Finance Innovation, Hubei University of Economics, Wuhan 430205, China

Mathematics, 2024, vol. 12, issue 15, 1-16

Abstract: While the high-voltage direct current (HVDC) transmission system is in monopolar operation, it produces thousands of amperes of ground-return currents (GRCs). Accurate computation of the GRCs is essential for assessing safety implications for nearby industrial infrastructure. Current three-dimensional forward models of GRCs are typically constructed based on discrete differential equations, and their solving efficiency is constrained by the increased degrees of freedom resulting from the fine discretization grids in high-conductivity conductors and ground points. To address this issue, we present a new resistor network (RN) forward solver based on a multi-resolution grid approach. This solver utilizes an RN to avoid the massive degrees of freedom resulting from fine discretization of high-voltage conductors and enhances grid discretization efficiency near the surface grounding system through multi-resolution grids. We demonstrate, through multiple three-dimensional geoelectrical model cases, that the proposed method reduces the forward modeling misfit to 1% and possesses only 3‰ of the required discrete elements compared to traditional approaches. Furthermore, practical HVDC grid model analyses indicate the successful application of the proposed method for GRC analysis in complex geoelectric conditions.

Keywords: direct current wave equation; resistive network discretization; ground-return current; earth surface potential; high-voltage direct current; multiresolution resistive network; hanging nodes (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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