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二维开域静电场的ANSYS解法
引用本文:文康珍,文远芳,黎文安. 二维开域静电场的ANSYS解法[J]. 武汉大学学报(工学版), 2007, 40(5): 116-118
作者姓名:文康珍  文远芳  黎文安
作者单位:1. 华中科技大学电气与电子工程学院,湖北,武汉,430074;武汉大学电气工程学院,湖北,武汉,430072
2. 华中科技大学电气与电子工程学院,湖北,武汉,430074
3. 武汉大学电气工程学院,湖北,武汉,430072
摘    要:为了提高ANSYS求解二维无界静电场的精确度,提出映射法.它是采用复指数函数,将无穷远边界线映射成一点,从而将一条边界线敞开的矩形边界的二维无界静电场,映射到其对应的二维有界静电场,再应用ANSYS求解.由于有界场的边值问题与无界场的边值问题相同,故有界场中某点的ANSYS解就是无界场中对应点的解.理论和计算的结果表明:映射法显著地提高了ANSYS求解二维无界静电场的精确度,并加快了计算速度.

关 键 词:电位  静电场  ANSYS  复指数函数
文章编号:1671-8844(2007)05-0116-03
修稿时间:2006-09-19

Solving two-dimensional unbounded electrostatic field with ANSYS
WEN Kangzhen,WEN Yuanfang,LI Wenan. Solving two-dimensional unbounded electrostatic field with ANSYS[J]. Engineering Journal of Wuhan University, 2007, 40(5): 116-118
Authors:WEN Kangzhen  WEN Yuanfang  LI Wenan
Affiliation:1. College of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China 2. School of Electrical Engineering, Wuhan University, Wuhan 430072, China
Abstract:In order to elevate the precision of applying ANSYS to solve a two-dimensional unbounded electrostatic field, a mapping method is presented. The mapping method, means in the domain of ANSYS calculating to apply complex exponential function to establish a mapping of a two-dimensional unbounded electrostatic field of which artificial boundaries of ANSYS is rectangle with one side open, the two-dimensional bounded electrostatic field. Then the two-dimensional bounded electrostatic field is calculated by ANSYS;so that the two-dimensional unbounded electrostatic field is solved. The results of theory and ANSYS calculation show that the mapping method obviously elevates the precision of applying ANSYS to solve a two-dimensional unbounded electrostatic field, and accelerates the calculating speed.
Keywords:ANSYS
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