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将三维磁场计算的表面磁荷法和空间谐波展开技术相结合 ,提出了一种用于偏转线圈磁场计算的谐波表面磁荷法。利用空间谐波的正交性 ,导出了与铁芯表面感应的磁荷各次谐波一一对应的磁场谐波。根据铁芯表面的法向磁场关系 ,建立各次磁荷谐波的积分方程 ,并进行了离散化。此方法将三维问题简化为一维积分方程问题 ,可以处理铁芯磁导率为有限值及铁芯与线匝间具有任意间隙的情况 ,具有较大的普遍适用性。用此方法计算了一个偏转线圈的例子 ,取得了较好的结果。
Combining the surface magnetic charge method and the space harmonic expansion technique, a harmonic magnetic field method for the calculation of the magnetic field of the deflection yoke is proposed. By using the orthogonality of space harmonics, the harmonics of the magnetic field corresponding to each harmonic of the magnetic charge induced by the core surface are derived. According to the relationship between the normal magnetic field of the core surface, the integral equations of the magnetic charge harmonics are established and discretized. This method simplifies the three-dimensional problem to the one-dimensional integral equation, and can handle the case where the magnetic permeability of the iron core is a finite value and there is any gap between the iron core and the coil. This method has great universality and applicability. An example of a deflection yoke was calculated by this method, and good results were obtained.