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三维正弦电磁场问题中一类和周期性边界条件的处理方法
The processing method of essential and periodic boundary conditions for 3D sinusoidal magnetic field problems
【摘要】 用三维有限元法计算电机中的磁场问题时,求解区域中经常同时包含周期边界条件和第一 类边界条件两种强加边界条件,通常情况是分别处理,这样不仅使程序处理复杂,而且也增加了计算 时间。本文提出了一种强加边界条件的统一处理方法,使两种边界条件能同时处理,简化了程序编 制,并以A, -A三雏有限元法为例导出了离散格式,讨论了相应的矩阵存储技术,为三维有限元法 的工程实际应用打下了基础。
【Abstract】 Using 3D FEM to calculate sinusoidal magnetic field in electric machine, there are two kinds of boundary conditions in solved regions, periodic boundary condition and essential boundary condition, required to impose respectively in usual. In this case, the program processing becomes complex and the computing time is increased. The paper presents a general processing algorithm, which can simplify programming to deal with two kinds of boundary condition simultaneously. In addition, taking the discretization formula of 3D FEM using A, -A to express as an example, corresponding matrix storage technology is discussed. The results are useful for the application of 3D FEM in engineering design.
【Key words】 3D magnetic field; numerical calculation; boundary condition processing;
- 【文献出处】 电机与控制学报 ,Electric Machines and Control , 编辑部邮箱 ,2005年01期
- 【分类号】TM15
- 【被引频次】5
- 【下载频次】326