摘要
有限公式法是基于全局量的电磁场数值计算方法,用代数方程取代微分和积分方程描述电磁场物理规律,具有物理意义明确,计算过程简单等优点。该文扼要介绍了有限公式的理论体系和应用现状,阐明了全局物理变量与原空间和映射空间元素的关系;采用基于正弦时变电磁场的复数模型,详细推导了有限公式法二维涡流电磁场的计算公式;并研究推导出了有限公式理论中二类齐次边界条件和非齐次条件的处理方法。结合电机工程中的具体实例,计算了鼠笼电机转子导条的集肤效应,通过与有限元计算结果的对比,验证了方法的正确性。该文的工作,丰富和完善了有限公式理论在涡流场方面的计算技术为在其他工程问题上的进一步应用打下了基础。
Finite Formulation Method is a novel numerical method for electromagnetic field calculation with Global Variable based. The merits are that physic concept is obvious and process is simple. The paper presents a complex method for sinusoidal time-varying field with the finite formulation theory based. The calculation formulation for eddy current field is deduced. The relationship between the global variable and geometry element in primal space and dual space is introduced briefly. The method to deal with homogeneous and non homogeneous Neumann Boundary condition is studied also. The method is proved by being utilized in electrical machine for skin effect. The result is compared with finite element method＇s result also. The paper＇s work has ricbened the finite formulation calculation technology for eddy current field.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2008年第9期133-138,共6页
Proceedings of the CSEE
基金
国家自然科学基金项目(50577016)~~
关键词
有限公式法
数值计算
电磁场
电机
涡流
集肤效应
finite formulation method
numerical calculation
electromagnetic field
electrical machine
eddy current
skin effect
