一种利用顶点位形描述的任意正交折线线圈阻抗解析建模新方法

doi:10.3969/j.issn.0372-2112.2018.09.008

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电子学报 ›› 2018, Vol. 46 ›› Issue (9) : 2094-2101. DOI: 10.3969/j.issn.0372-2112.2018.09.008

学术论文

一种利用顶点位形描述的任意正交折线线圈阻抗解析建模新方法

吴德会, 何天府, 王晓红, 黄一民

作者信息 +

Analytical Impedance Model for an Arbitrary Orthogonal Polyline Coil Using Vertex Position-shape Description

WU De-hui, HE Tian-fu, WANG Xiao-hong, HUANG Yi-ming

Author information +

文章历史 +

摘要

本文利用顶点位形描述方法，建立了任意正交折线线圈阻抗的封闭模型.首先，利用二阶矢量位公式对一个线形矩形线圈的电磁场分布进行描述，并推导了该矩形线圈的标量势表达式，其包含有一个利用矩形四个顶点的位置因子和角形因子进行描述的积分项；其次，证明了角形因子的两个重要性质，并利用该性质将矩形线圈的标量势表达式推广到任意正交折线线圈的情况；最后，建立了任意正交折线线圈阻抗的解析表达式，并以矩形螺线线圈为例进行了阻抗计算，并将计算结果与实验测量值进行了对比.结果表明，计算值与测量值之间有较好的吻合度.相对于现有的矩形描述法，本文所提方法在简化建模过程及提高建模速度方面具有明显优势.

Abstract

In this paper, the closed-form impedance model is provided for an arbitrary orthogonal polyline coil using vertex position-shape description. Firstly, the second order vector potential (SOVP) formula is used for the description of the electromagnetic fields produced by a filamentary rectangular coil. And the scalar potential of the rectangular coil is derived with an integral item described by the position factors and shape factors of the four vertexes of the rectangle. Secondly, two important properties of the shape factors are deduced, with which the analytical expressions of scalar potential can be generalized to the case of arbitrary orthogonal polyline coils. The analytical impedance expressions of arbitrary orthogonal polyline coils are finally derived and applied to a rectangular spiral coil. The theoretical results are compared with the experimental measurements. The comparison results show that the calculated and measured values are in good agreement. The proposed method greatly simplifies the modeling process compared with existing rectangle description method.

导出引用

吴德会, 何天府, 王晓红, 黄一民. 一种利用顶点位形描述的任意正交折线线圈阻抗解析建模新方法[J]. 电子学报, 2018, 46(9): 2094-2101. https://doi.org/10.3969/j.issn.0372-2112.2018.09.008

WU De-hui, HE Tian-fu, WANG Xiao-hong, HUANG Yi-ming. Analytical Impedance Model for an Arbitrary Orthogonal Polyline Coil Using Vertex Position-shape Description[J]. Acta Electronica Sinica, 2018, 46(9): 2094-2101. https://doi.org/10.3969/j.issn.0372-2112.2018.09.008

中图分类号： TM153

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