用于平滑处理的卷积运算及其在有限元磁场分析后处理中的应用

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Abstract In magnetic field computations with linear triangular elements, piecewise constant magnetic flux densities are obtained, which are unequal over two adjacent elements. In order to compute magnetic force densities inside iron and along boundary of different media, derivatives of magnetic energy and permeability are needed. A convolution method is used to obtain smoothly distributed flux densities. Fundamental formulas for smoothing via convolutions are firstly derived, then a comparison between results of convolution by different kernel functions is made and a method to find kernel functions with required smoothness is given, lastly an application of the convolution method to compute magnetic force density inside iron is illustrated.

Key words： Convolution magnetic forces finite element method smoothing

Received: 13 August 2008 Published: 13 February 2014

PACS:

TM153

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	Luo Wei
	Li Zhiqiang
	Luo Yingli

Cite this article:

Luo Wei,Li Zhiqiang,Luo Yingli. Smoothing Convolutions and Applications in Postprocessing of Finite Element Analysis of Magnetic Field[J]. Transactions of China Electrotechnical Society, 2009, 24(4): 1-5.

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http://dgjsxb.ces-transaction.com/EN/ OR http://dgjsxb.ces-transaction.com/EN/Y2009/V24/I4/1

[1] Grabner C, Schmidt E. Torque calculation of electrical machines based on distributions of surface forces along the stator boundary as well as volume forces inside conducting and iron domains[C]. IEEE Electric Machines and Drives Conf., IEMDC'03, 2003, 1：595-600.
[2] David G Dorrell, Mircea Popescu, Malcolm I McGilp. Torque calculation in finite element solutions of electrical machines by consideration of stored energy[J]. IEEE Trans. Magnetics, 2006, 42(10): 3431-3433.
[3] Ramón Castillo, José M Cañedo. A 2-D finite-element formulation for unambiguous torque calculation[J]. IEEE Trans. Magnetics, 2008, 44(3):373-376.
[4] 汤蕴璆. 电机内的电磁场 [M]. 2版. 北京：科学出版社, 1998.
[5] 杨玉波, 王秀和, 张鑫, 等. 磁极偏移削弱永磁电机齿槽转矩方法[J]. 电工技术学报, 2006, 21(10)：22-25.
[6] Lieven Vandevelde, Johan J C Gyselinck, Jan A A Melkebeek. Long-range magnetic force and deformation calculation using the 2D finite element method[J]. IEEE Trans. Magnetics, 1998, 34(5): 3540-3543.
[7] Benhama A, Williamson A C, Reece A B J. Virtual work approach to the computation of magnetic force distribution from finite element field solutions[J]. IEE Proc-Electr. Power Appl, 2000, 147(6): 437-442．
[8] Lieven Vandevelde, Jan A A Melkebeek. A survey of magnetic force distributions based on different magnetization models and on the virtual work principle[J]. IEEE Trans. Magnetics, 2001, 37(5): 3405-3409.
[9] Motoasca T Emilia, Hans Blok, Martin D Verweij, et al. Electromagnetic forming by distributed forces in magnetic and nonmagnetic materials[J]. IEEE Trans. Magnetics, 2004, 40(5):3319-3330.
[10] 杨慎华, 寇淑清, 冯肇华. 光顺化有限元技术在电磁场数据处理中的应用[J]. 计量学报, 1999, 20(2): 136-142.
[11] 郑君里, 应启珩, 杨为理. 信号与系统：上册 [M]. 2版. 北京：高等教育出版社, 2000.
[12] Luo Wei, Li Zhiqiang. A convolution method to compute magnetic force distributions[C]. Proc. Of the 13th Biennial IEEE Conf. on Electromagnetic Field Computation, Athens, Greece, 2008:223.