虚边界元法在电磁场计算中的应用  

Virtual Boundary Element Method in Computational Electromagnetics

作　　者：张淮清[1] 王亚伟[2] 付志红[1] 

机构地区：[1]重庆大学输配电装备及系统安全与新技术国家重点实验室,重庆400044 [2]上海交通大学电气工程系,上海200240

出　　处：《电工技术学报》2013年第2期86-90,共5页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(50907075)

摘　　要：为解决传统边界元法中的奇异积分问题和边界层效应,论文将弹性力学中"虚边界"的概念引入到电磁场的计算中,形成电磁计算的虚边界元法。该方法在保留传统边界元法优点的同时,通过设置虚边界,使积分点和源点分别处于不同的边界上,从而有效地避免了奇异积分和边界层效应。算例分析表明,相比于传统边界元法,论文方法拥有更高的求解精度。此外,论文研究了"虚边界"的选取对求解的影响,计算表明,虚边界的选取非常灵活,在不同的大小和形状下,该方法都能稳定地得到理想的求解效果。In order to solve the problems of singular integral and boundary layer effects in traditional boundary element method （BEM）, the idea of virtual boundary is introduced into this paper. Thus, a new virtual boundary element method （VBEM） for numerical computation of electromagnetic field is formed. In this method, the field points and source points can be set on different boundary, so that the problems of singular integral and boundary layer effects are effectively avoided in the numerical computing process. Meanwhile, the method inherits almost all the advantages of the traditional BEM. The conclusions from numerical examples show that VBEM has higher calculation accuracy than traditional BEM. Then, the paper investigates the influence of the virtual boundary to the accuracy, and the numerical examples show that the influence is small. The VBEM can still acquire satisfactory performance when the shape or size of virtual boundary is changed.

关 键 词：虚边界元法 传统边界元法 电磁场 奇异积分 

分 类 号：TM151.1[电气工程—电工理论与新技术]