一种任意正交折线线圈阻抗的解析建模新方法

New impedance analytical and modeling method of any orthogonal polyline coil

提出了一种位于导体上方正交折线线圈的阻抗解析建模方法。首先,在前人研究的基础上,定义了外形位置因子,得出了单矩形线圈的入射场感应电压及散射场电压简化计算方法;其次,将多个矩形线圈自感电压及两两之间的互感电压叠加,建立了串联等效电感模型;再次,根据任意正交折线线圈的几何原理,将该线圈拆解为有限个相同截面的矩形线圈并进行重构,得出入射场阻抗及散射场阻抗的广义二重积分表达式。最后,利用Mathematica对回折线圈实例进行了计算与实验比较,并根据影响阻抗的各个变量绘制阻抗平面图。拆解重构方法可用于不同形状、不同激励频率、不同提离高度的正交折线线圈平行置于任意电导率导体上方的阻抗解析计算。

In this paper,an impedance analytical modeling method is proposed for the orthogonal polyline coil located above conductor.Firstly,the shape position factor of the coil is defined on the basis of previous studies.The simplified calculation method of the incident field induced voltage and scattered field voltage of a single rectangular coil is obtained.Secondly,the self-induction voltage and mutual inductance voltage of every two coils for multiple rectangular coils are superimposed to establish the series equivalent inductance model.Then,according to the geometrical principle of arbitrary orthogonal polyline coil,the coil can be decomposed into finite rectangular coils with same cross-section and the reconstruction is conducted to obtain the improper double integral expressions of the incident field impedance and scattered field impedance.Finally,the mathematica software was used to calculate a meander coil example,and experiment comparison was also conducted;the impedance plane diagrams were plotted according to the variables that affect the impedance.The disassembly and reconstruction method proposed in this paper can be used for the impedance analytical calculation of the orthogonal polyline coils with different shapes,under different excitation frequency and different lift-off height placed parallelly above the conductor with arbitrary electrical conductivity.