论文标题
通过分割方法计算圆形和任意形状的细丝之间的相互电感
Calculation of Mutual Inductance between Circular and Arbitrarily Shaped Filaments via Segmentation Method
论文作者
论文摘要
在本文中,分别使用相互电感法(MIM)和BABIC的方法(BM)得出了两个分析公式,用于计算圆形细丝和线段任意定位之间的相互电感。利用任何曲线可以通过一组线段插值的事实,这是根据衍生的分析公式提出了一种计算圆形细丝和具有任意形状的圆形灯丝之间相互电感的方法。通过使用Fasthenry软件和文献中的参考示例,在数值上验证了派生的两个公式和所提出的方法(分割方法)。特别是,所提出的方法成功地应用于圆形细丝与以下特殊曲线之间的相互电感的计算,例如圆,圆形弧,椭圆弧,椭圆形,椭圆形,螺旋,螺旋,螺旋和锥形螺旋。计算的所有结果都与参考示例非常吻合。
In this article, two analytical formulas for the calculation of mutual inductance between a circular filament and line segment arbitrarily positioning in the space are derived by using Mutual Inductance Method (MIM) and Babic's Method (BM), respectively. Using the fact that any curve can be interpolated by a set of line segments, a method for calculation of mutual inductance between a circular filament and filament having an arbitrary shape in the space is proposed based on the derived analytical formulas. The derived two formulas and the proposed method (Segmentation Method) were numerically validated by using FastHenry software and reference examples from the literature. In particular, the proposed method was successfully applied to the calculation of mutual inductance between the circular filament and the following special curves such as circle, circular arc, elliptic arc, ellipse, spiral, helices and conical helices. All results of the calculation are in good agreement with the reference examples.