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首页> 外文期刊>IEEE Transactions on Magnetics >Magnetic Field Analysis of an Arbitrary Shaped Coil Using Shape Functions
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Magnetic Field Analysis of an Arbitrary Shaped Coil Using Shape Functions

机译：基于形状函数的任意形状线圈的磁场分析

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In eddy-current sensors and eddy-current testing, it is important to analyze the magnetic field of the coil. Toward this end, we analyzed magnetic fields in various coils, such as circular and rectangular coils. We used the double Fourier transformation and applied it to the eddy-current problem of coils facing a sheet conductor. However, only a limited number of coil shapes could be analyzed by this method. We therefore devised a method of magnetic field analysis that could be applied to a variety of coils by double Fourier transformation. We focused attention on the generated magnetic field of the coil, which is a basic characteristic. Our analysis method is made applicable to a much larger variety of coil shapes by defining a completely new type of function, called shape functions. The use of this analysis method made it possible to perform exact calculation of the magnetic field of more complex shaped coils besides circular and rectangular coils. We verified the validity of the analytical results experimentally. Although the Biot-Savart law may be used to analyze magnetic fields of coils, the law is not applicable when the coil faces a sheet conductor.
机译：在涡流传感器和涡流测试中，分析线圈的磁场非常重要。为此，我们分析了各种线圈（例如圆形和矩形线圈）中的磁场。我们使用了双重傅里叶变换，并将其应用于面对片状导体的线圈的涡流问题。但是，这种方法只能分析有限数量的线圈形状。因此，我们设计了一种磁场分析方法，该方法可以通过双重傅里叶变换应用于各种线圈。我们将注意力集中在线圈产生的磁场上，这是一个基本特征。通过定义一种称为形状函数的全新函数，我们的分析方法可应用于更大范围的线圈形状。这种分析方法的使用使得除了圆形和矩形线圈外，还可以对更复杂形状的线圈的磁场进行精确计算。我们通过实验验证了分析结果的有效性。尽管可以使用Biot-Savart定律来分析线圈的磁场，但是当线圈面对片状导体时，该定律不适用。

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