A novel method to predict current voltage characteristics of positive corona discharges based on a perturbation technique. I. Local analysis

• Published in: AIP advances Vol. 7; no. 11; pp. 115026 - 115026-7
• Main Authors: Shibata, Hisaichi, Takaki, Ryoji
• Format: Journal Article
• Language: English
• Published: Melville American Institute of Physics 01-11-2017; AIP Publishing LLC
• Subjects: Current voltage characteristics; Cylinders; Direct current; Discharge; Linearization; Perturbation methods; Positive corona; Stellar coronas
• ISSN: 2158-3226; 2158-3226
• DOI: 10.1063/1.4995025

A novel method to compute current-voltage characteristics (CVCs) of direct current positive corona discharges is formulated based on a perturbation technique. We use linearized fluid equations coupled with the linearized Poisson’s equation. Townsend relation is assumed to predict CVCs apart from the linearization point. We choose coaxial cylinders as a test problem, and we have successfully predicted parameters which can determine CVCs with arbitrary inner and outer radii. It is also confirmed that the proposed method essentially does not induce numerical instabilities.