Modeling Time-Evolving Electrical Conductivity in Air Ionization Plasma under DC Voltage: A Finite-Difference Time-Domain Approach for Needle-Plate Setup Based on Laboratory Experiments

Rodrigo M. S. de Oliveira (), Thiago S. de Lima, Júlio A. S. Nascimento and Gustavo G. Girotto
Additional contact information
Rodrigo M. S. de Oliveira: Faculty of Electrical and Biomedical Engineering (FEEB), Institute of Technology (ITEC), Campus of Guamá, Federal University of Pará (UFPA), 01 Augusto Correa Street, Belém 66075-110, Brazil
Thiago S. de Lima: Faculty of Electrical and Biomedical Engineering (FEEB), Institute of Technology (ITEC), Campus of Guamá, Federal University of Pará (UFPA), 01 Augusto Correa Street, Belém 66075-110, Brazil
Júlio A. S. Nascimento: Eletrobrás, Eletronorte, 2172 Artur Bernardes Highway, Belém 66115-000, Brazil
Gustavo G. Girotto: Faculty of Electrical and Biomedical Engineering (FEEB), Institute of Technology (ITEC), Campus of Guamá, Federal University of Pará (UFPA), 01 Augusto Correa Street, Belém 66075-110, Brazil

Energies, 2024, vol. 17, issue 8, 1-22

Abstract: In this paper, we develop a finite-difference time-domain (FDTD) model in which the time-evolving electrical conductivity of the air ionization plasma in DC voltage needed-plate setup is represented. Maxwell’s equations are solved using the FDTD method, and the associated currents and discharge fields are computed over time and in three-dimensional space. The proposed model for the electrical conductivity is dependent on time, the applied DC voltage, and the gap length. The necessary data for developing the proposed model is obtained experimentally using a standard discharge needle, with its spherical tip measuring approximately 40 μ m in diameter. Once high voltage is applied, a steady state is achieved. The electrical conductivity σ ( t ) and its associated parameters are then calculated using nonlinear equations proposed to reproduce the experimentally obtained plasma behavior in the full-wave FDTD model. Voltage ranges from 4 kV to 9 kV, and gap distances are between 4 mm and 8 mm.

Keywords: finite-difference time-domain (FDTD); air ionization plasma; electrical conductivity; DC high-voltage voltage; Maxwell’s equations; discharge fields; numerical model; nonlinear equations; experimental measurements (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1996-1073/17/8/1799/pdf (application/pdf)
https://www.mdpi.com/1996-1073/17/8/1799/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:17:y:2024:i:8:p:1799-:d:1372640

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().