A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air Conductivity

Abstract In this paper, we present a novel numerical model for simulating partial discharges (PDs) transient currents excited by high-voltage DC (HVDC) systems. The model is based on the telegraph equations, which are solved in the time domain via the finite-difference method (FDM). With the propose...

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Main Authors: Rodrigo M. S. de Oliveira, Nathan M. Lopes, Júlio A. S. do Nascimento
Format: Article
Language:English
Published: Sociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de Eletromagnetismo 2025-02-01
Series:Journal of Microwaves, Optoelectronics and Electromagnetic Applications
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Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742025000100202&lng=en&tlng=en
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author Rodrigo M. S. de Oliveira
Nathan M. Lopes
Júlio A. S. do Nascimento
author_facet Rodrigo M. S. de Oliveira
Nathan M. Lopes
Júlio A. S. do Nascimento
author_sort Rodrigo M. S. de Oliveira
collection DOAJ
description Abstract In this paper, we present a novel numerical model for simulating partial discharges (PDs) transient currents excited by high-voltage DC (HVDC) systems. The model is based on the telegraph equations, which are solved in the time domain via the finite-difference method (FDM). With the proposed model, one can simulate air ionization through its distinct phases based on the electric field’s magnitude. This study specifically provides effective electrical conductivity of ionized air over time and space, calculated in the discharge channel also as a function of voltage and gap distance in a needle-plate setup. Validation is performed against experimental results from our laboratory experiments, demonstrating agreement despite the model’s one-dimensional nature. The simplicity of the model leads to much smaller simulation times (up to two minutes) compared to more complex three-dimensional models (typically requiring hours to complete), highlighting its potential for efficient PD analysis and future developments of general PD models based on effective plasma conductivity.
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institution Kabale University
issn 2179-1074
language English
publishDate 2025-02-01
publisher Sociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de Eletromagnetismo
record_format Article
series Journal of Microwaves, Optoelectronics and Electromagnetic Applications
spelling doaj-art-3b5f4ab908cb4c5c9e4689afefc731482025-02-04T07:40:21ZengSociedade Brasileira de Microondas e Optoeletrônica; Sociedade Brasileira de EletromagnetismoJournal of Microwaves, Optoelectronics and Electromagnetic Applications2179-10742025-02-0124110.1590/2179-10742025v24i1287804A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air ConductivityRodrigo M. S. de Oliveirahttps://orcid.org/0000-0001-7178-6387Nathan M. Lopeshttps://orcid.org/0000-0003-4822-7418Júlio A. S. do Nascimentohttps://orcid.org/0000-0003-3524-3021Abstract In this paper, we present a novel numerical model for simulating partial discharges (PDs) transient currents excited by high-voltage DC (HVDC) systems. The model is based on the telegraph equations, which are solved in the time domain via the finite-difference method (FDM). With the proposed model, one can simulate air ionization through its distinct phases based on the electric field’s magnitude. This study specifically provides effective electrical conductivity of ionized air over time and space, calculated in the discharge channel also as a function of voltage and gap distance in a needle-plate setup. Validation is performed against experimental results from our laboratory experiments, demonstrating agreement despite the model’s one-dimensional nature. The simplicity of the model leads to much smaller simulation times (up to two minutes) compared to more complex three-dimensional models (typically requiring hours to complete), highlighting its potential for efficient PD analysis and future developments of general PD models based on effective plasma conductivity.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742025000100202&lng=en&tlng=enEffective Electrical ConductivityFinite-Difference MethodHigh-Voltage Direct Current (HVDC)Partial Discharges.
spellingShingle Rodrigo M. S. de Oliveira
Nathan M. Lopes
Júlio A. S. do Nascimento
A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air Conductivity
Journal of Microwaves, Optoelectronics and Electromagnetic Applications
Effective Electrical Conductivity
Finite-Difference Method
High-Voltage Direct Current (HVDC)
Partial Discharges.
title A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air Conductivity
title_full A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air Conductivity
title_fullStr A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air Conductivity
title_full_unstemmed A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air Conductivity
title_short A 1D-FDM Transmission Line Model for Partial Discharge Current Simulations Validated Against Needle-Plate HVDC Laboratory Experiments: Calculations of Ionized Air Conductivity
title_sort 1d fdm transmission line model for partial discharge current simulations validated against needle plate hvdc laboratory experiments calculations of ionized air conductivity
topic Effective Electrical Conductivity
Finite-Difference Method
High-Voltage Direct Current (HVDC)
Partial Discharges.
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742025000100202&lng=en&tlng=en
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