ABSTRACT A semi-analytical method is proposed to calculate the magnetic field and inductances of axisymmetric iron-core coils. A group of source functions are introduced to simplify the formulas and accelerate calculation. Compared to previous researches, with the help of the source functions, the relative locations of the coil and the core in axial direction can be arbitrary, which extend the application range of the method. The results evaluated by the proposed method are compared with those given by finite element method (FEM), from which it is confirmed that the proposed method is effective and much faster than FEM simulations under the same calculation accuracy.

中文翻译：

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具有任意轴向位置的铁芯线圈的电感计算

摘要 提出了一种计算轴对称铁芯线圈磁场和电感的半解析方法。引入了一组源函数来简化公式并加速计算。与以往的研究相比，在源函数的帮助下，线圈和铁心在轴向上的相对位置可以是任意的，扩大了该方法的应用范围。将所提出的方法评估的结果与有限元法(FEM)给出的结果进行了比较，从中证实了所提出的方法是有效的，并且在相同的计算精度下比有限元模拟要快得多。