摘要
针对静电场中导体表面电场强度的计算,本文充分利用导体表面的几何特性和等位面特性,推导了一种高精度的对数插值公式。这一对数插值公式较目前为止精度最高的指数插值公式又有重大改进。作为极限情况,本文还推出了导体表面为圆球面、圆柱面以及平面时,对数插值公式的特殊形式。计算实例表明,对数插值公式比指数插值公式精度明显提高,可以取代指数插值公式。
For computing the field intensity on conductor surfaces in electrostatic fields, this paper presents a high accurate logarithmic interpolation formula by making full use of geometrical and equipotential characteristics of surface. This formula is better than the exponential one. Three particular forms are also derived from the logarithmic interpolation formula in the conditions in which the conductor surface are spherical, columnar and plane, respectively.It is shown in numerical examples that the accuracy is higher in logarihtmic formula than in exponential one.
出处
《中国电机工程学报》
EI
CSCD
北大核心
1991年第5期43-47,共5页
Proceedings of the CSEE
关键词
电场强度
导体表面
插值公式
clerical field intensity
interpolation formula
conductor surface
