Title :
Finite-Element Analysis of Corona Discharge Onset in Air With Artificial Diffusion Scheme and Under Fowler–Nordheim Electron Emission
Author :
Lee, Se-Hee ; Lee, Se-Yeon ; Chung, Young-Ki ; Park, Il-Han
Author_Institution :
Adv. Power Apparatus Group, Korea Electrotechnol. Res. Inst., Changwon
fDate :
4/1/2007 12:00:00 AM
Abstract :
A complete finite-element analysis method for corona discharge process, which is governed and coupled by charge transport equation and electric field equation, was presented. The charge transport equation of first order was transformed into second order by utilizing the artificial diffusion scheme. The two second-order equations were analyzed by the finite-element formulation which is well-developed for second-order equations. The Fowler-Nordheim injection boundary condition was adopted for charge transport equation. After verifying the numerical results by comparing to the analytic solutions using parallel plane electrodes with one carrier system, we extended the result to blade-plane electrodes in 2-D xy geometry with three carriers system. Radius of the sharp tip was taken to be 50 mum. When this sharp geometry was solved by utilizing the space discretizing methods, the very sharp tip was found to cause a singularity in electric field and space charge distribution around the tip. To avoid these numerical difficulties in the finite-element method, finer meshes, a higher-order shape function, and artificial diffusion scheme were employed
Keywords :
corona; diffusion; electric fields; electron emission; finite element analysis; space charge; Fowler-Nordheim electron emission; artificial diffusion scheme; charge transport equations; corona discharge; electric field equations; electric fields; finite element analysis; higher-order shape function; injection boundary condition; parallel plane electrodes; second-order equations; space charge distribution; space discretizing methods; Corona; Electrodes; Electron emission; Finite element methods; Hydrodynamics; Information analysis; Ionization; Nonlinear equations; Poisson equations; Space charge; Artificial diffusion; Fowler–Nordheim field emission; corona discharge; hydrodynamic diffusion-drift model; space charge propagation;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.892469