Finite Element Analysis of Corona Discharge Onset in Air with Artificial Diffusion Scheme and under Fowler-Nordheim Electron Emission Condition

A complete finite element analysis method for corona discharge process, which is governed and coupled by charge transport equation and electric field equation is presented. The charge transport equation of first order was transformed into a second-order one 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 ones. The Fowler-Nordheim injection boundary condition was adopted for charge transport equation. Numerical analysis showed a transient charge distribution from corona discharge onset