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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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Keywords: 卷积,电磁力,有限元,光滑处理

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Abstract:

在用一阶三角元计算磁场所得到的结果中,相邻单元磁通密度通常不等,所得到的是分片恒定的磁通密度及磁导率。为了计算电磁力在铁心中以及在不同介质交界面上的分布,需要对磁场能量或磁导率求导数,为此,本文采用卷积方法得到平滑分布的磁通密度及磁导率。首先推导进行平滑化处理的卷积运算基本公式,然后对比采用不同的核函数进行卷积运算所得到的结果,并给出求取平滑化处理核函数的一般方法;作为卷积方法的一个应用,得到考虑饱和时计算铁心内部电磁力密度的公式。

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