Difference Approximation of DC Corona Equations

Abstract

Methods and algorithms of direct current corona field computation are discussed. Finite difference method associated with Cartesian coordinate system is chosen for simplicity of programming and generation of computational grid. Area of computation is divided into two subareas: the area of regular grid limited by surfaces of plane electrodes and axies of symmetry, and the area of irregular grid near the surface of the corona wire. Difference approximation of Poisson‘s and continuity equations are given for irregular and regular grids. The values of weight coefficients of finite difference Poisson‘s equation for irregular grid are inverse proportional to the distances of the point from the surface of the wire, the sum of all these coefficients is equal to one. Ill. 2, bibl. 9 (in English; summaries in English, Russian and Lithuanian).