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

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

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

厦门大学机电工程系, 福建厦门 361005

收稿日期:2016-07-08 修回日期:2018-01-09 出版日期:2018-09-25
- 通讯作者:
- 王晓红
- 作者简介:
- 吴德会 男,1975年生,2006年于合肥工业大学获得博士学位,现为厦门大学机电系副教授,博士生导师,主要研究方向为无损检测、传感器技术和智能测控技术等.E-mail:wudehui@xmu.edu.cn;何天府 男,1990年生,现就读厦门大学航空航天学院,研究方向为电磁无损检测技术.E-mail:1411939025@qq.com
- 基金资助:
- 国家自然科学基金 (No.51677158）

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

Department of Mechanical and Electrical Engineering, Xiamen University, Xiamen, Fujian 361005, China

Received:2016-07-08 Revised:2018-01-09 Online:2018-09-25 Published:2018-09-25
- Corresponding author:
- WANG Xiao-hong

摘要/Abstract

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.

关键词: 阻抗模型, 涡流检测, 正交折线线圈, 二阶矢量位, 顶点位形描述

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.

Key words: impedance model, eddy-current testing, orthogonal polyline coil, second order vector potential, vertex position-shape description

中图分类号:

TM153

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.

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.

参考文献

[1] Weise K,Ziolkowski M,Carlstedt M,et al.Oscillatory motion of permanent magnets above a conducting slab[J].IEEE Transactions on Magnetics,2015,51(10):1-14.
[2] Ashigwuike E C,Ushie O J,Mackay R,et al.A study of the transduction mechanisms of electromagnetic acoustic transducers (EMATs) on pipe steel materials[J].Sensors & Actuators A Physical,2015,229:154-165.
[3] Lv C,Liu W,Jiang Y,et al.Analytical modelling for edge effects and impedance characteristics of the transverse eddy current displacement sensors with rectangular coils[J].International Journal of Applied Electromagnetics & Mechanics,2014,46(4):823-834.
[4] Bauernfeind T,Preis K,Renhart W,et al.Finite element simulation of impedance measurement effects of NFC antennas[J].IEEE Transactions on Magnetics,2015,51(3):1-4.
[5] 周廉,朱善安,贺斌.三维磁感应磁声成像的新算法研究[J].电子学报,2013,41(2):288-294. Zhou Lian,Zhu Shanan,He Bin.A three-dimensional bioimpedance imaging algorithm by means of magnetoacoustic tomography with magnetic induction[J].Acta Electronica Sinica,2013,41(2):288-294.(in Chinese)
[6] 董辉,朱义胜,赵柏山.基于小波矩量法的平面螺旋电感的电磁辐射研究[J].电子学报,2009,37(3):535-539. Dong Hui,Zhu Yisheng,Zhao Baishan.Study on the electromagnetic radiation of planar spiral inductors based on wavelet-mom[J].Acta Electronica Sinica,2009,37(3):535-539.(in Chinese)
[7] 李学平,杨媛,高勇,等.基于生物电容的视觉假体无线能量传输系统建模及效率优化[J].电子学报,2015,43(1):104-110. Li Xueping,Yang Yuan,Gao Yong,et al.Visual prosthesis wireless power transfer system modeling based on biological capacitance and its efficiency-optimization[J].Acta Electronica Sinica,2015,43(1):104-110.(in Chinese)
[8] 陈兴乐,雷银照.导电导磁管道外任意放置线圈激励下脉冲涡流场时域解析解[J].物理学报,2014,63(24):16-25. Chen Xingle,Lei Yinzhao.Analytical solutions to pulsed eddy current field excited by a differently oriented probe coil outside a conducting ferromagnetic pipe[J].Acta Physica Sinica,2014,63(24):16-25.(in Chinese)
[9] Itaya T,Ishida K,Tanaka A,et al.Analysis of an eddy current speed meter by rectangular coil system[J].IEEJ Transactions on Fundamentals & Materials,2013,133(8):416-423.
[10] Itaya T,Ishida K,Tanaka A,et al.Analysis of a fork-shaped rectangular coil facing moving sheet conductors[J].IET Science Measurement Technology,2009,3(4):279-285.
[11] Theodoulidis T P,Kriezis E E.Impedance evaluation of rectangular coils for eddy current testing of planar media[J].NDT & E International,2002,35(6):407-414.
[12] Fava J O,Ruch M C.Calculation and simulation of impedance diagrams of planar rectangular spiral coils for eddy current testing[J].NDT & E International,2006,39(5):414-424.
[13] Cheng Y H,Shu Y M.A new analytical calculation of the mutual inductance of the coaxial spiral rectangular coils[J].IEEE Transactions on Magnetics,2014,50(4):1-6.
[14] 郝宽胜,黄松岭,赵伟,等.基于二阶矢量位的矩形截面回折线圈阻抗和脉冲磁场的解析建模与计算[J].物理学报,2011,60(7):784-793. Hao Kuansheng,Huang Songling,Zhao Wei,et al.Analytical modelling and calculation of impedance and pulsed magneticfield for rectangular meander coil basedonsecondorder potential[J].Acta Physica Sinica,2011,60(7):784-793.(in Chinese)

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

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

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

编辑推荐

Metrics

[1]	师奕兵, 罗清旺, 王志刚, 张伟, 马东. 基于多元接收线圈的管道局部缺陷检测方法研究[J]. 电子学报, 2018, 46(1): 197-202.
[2]	幸玲玲;王东进. 涡流检测中的组合神经网络模型[J]. 电子学报, 2002, 30(5): 734-737.