基于有限元及数值计算方法的空气中的负极性电晕放电研究

Study on Negative Polarity Corona Discharge Based on Finite Element and Numerical Calculation Method

以导线-平板电极系统为模型展开对负极性电晕放电的研究。利用有限元分析方法处理泊松(Poisson)方程,并使用简化特征值法解空间电荷密度不断更新的恒定电流方程,这种简化特征值法忽略了离子的扩散。数值模型考虑了电离区域,在有限元法中引入一个和临界最小电离场直接相关的电位定义为狄拉克(Dirichlet)边界条件。当忽略计算起始电压的一些误差时,计算数据和实验数据非常吻合。

This paper develops study on negative polarity corona discharge taking conductor-plane electrode as a model. By using finite element analysis method, it introduces handling for Poisson equation and solution to constant current equation of continuously updated space electric density by making use of simplified characteristic value method which ignores spread of ion. The numerical model considers ionization area and introduces a Dirichlet boundary condition defined in scope of poten- tial which is directly related to critical minimum ionization filed in finite element method. When ignoring calculating some errors of initial voltage, the calculating data is identical to testing data.