基于六面体单元表面磁场积分法求解三维静磁场  

3D Magnetostatic Field Computation With Hexahedral Surface Integral Equation Method

作　　者：周国华[1] 肖昌汉[1] 刘胜道[1] 高俊吉[1] 

机构地区：[1]海军工程大学电气与信息工程学院,武汉430033

出　　处：《电工技术学报》2009年第3期1-7,共7页Transactions of China Electrotechnical Society

摘　　要：三维静磁场计算分析在工程中具有广阔的应用背景。在磁场积分法求解三维静磁问题中,根据均匀磁化体磁化特征将系数矩阵体积分计算形式化简为面积分计算形式,简化了运算且消除了系数矩阵积分计算的奇异性。为适应任意复杂形体剖分,选择非规则六面体作为剖分单元,导出了其单元耦合系数的解析求解方法,从而消除了传统计算中采用数值积分近似计算带来的误差。基于上述两者分析,建立了基于六面体单元表面积分的三维静磁场计算模型。为验证该方法的正确性和有效性,将其应用于地磁场磁化下球壳和空心圆柱体的空间磁特征分析实例中。计算值和实际值的一致表明该方法完全可应用于工程实际的三维静磁场分析,有一定的工程实用价值。Magentostatic field calculation method is widely used in many areas, such as analyzing magnetic field characteristics of ferromagnetic objects. According to the magnetization property of uniformly magnetized body, an improved surface integral magentostatic field calculation method is presented in this paper. Compared with the volume integral method, the surface integral method is simpler in computation and the integral singularity is eliminated. Irregular hexahedron is used to mesh the complex ferromagnetic objects because of its flexibility. In order to eliminate the errors caused by numerical integration, the analytical formulas of the hexahedral coupling coefficient are deduced. Based on the above analysis, 3D magnetostatic field computation method with hexahedral surface integral is provided. Finally, two examples, a hollow ferromagnetic sphere and a hollow ferromagnetic cylinder in geomagnetic field, are given to verify its efficiency and accuracy. The results of the two examples are satisfying and the proposed method could be applied in the practical engineering.

关 键 词：六面体 三维静磁场计算 积分方程法 铁磁物体 

分 类 号：TM153[电气工程—电工理论与新技术]