平板导体上方倾斜圆形线圈的瞬态涡流场
Transient Eddy Current Field due to a Tilted Circular Coil Above a Plate Conductor
摘 要
研究了有限厚导电平板上方的倾斜圆形线圈在脉冲电流激励下产生的电磁场。推导了倾斜圆形通电线圈的电流密度表达式, 解析求解了导体内部的涡流密度, 并提出了一种计算时域响应的有效方法。结合算例, 分析了瞬态涡流的时空特点, 讨论了线圈倾角、板厚与响应的关系。计算结果显示, 提出的方法可用于分析倾斜圆形线圈的线性瞬态涡流场问题。与软件仿真结果的对比验证了所提模型和方法。所得结果有助于了解在倾斜条件下所获得的脉冲涡流检测信号。
瞬态
倾斜圆形线圈
平板导体
解析解
Eddy current testing
Transient
Tilted circular coil
Plate conductor
Analytical solution
Abstract
This paper investigates the electromagnetic field due to a tilted circular coil with a pulsed excitation current above a conducting plate of finite thickness. The current density expression for the tilted circular current-carrying coil is derived and the eddy current density induced within the conductor is analytically calculated, then an effective method for computing the time-domain response is proposed. Some examples are given at last, and the temporal and spatial characteristics of the transient eddy currents and the relationship between the response and tilt angle, plate thickness are discussed. The results show that the method in the paper can be used for the analysis of the linear transient eddy current field due to a tilted circular coil. The model and method here are validated by comparison with the simulation result from software. These results could assist in understanding the acquired pulsed eddy current test signals under conditions of tilt.
中图分类号 TG115.28
所属栏目 科研成果与学术交流
基金项目 国家自然科学基金项目(50777002)
收稿日期 2009/12/25
修改稿日期
网络出版日期
作者单位点击查看
备注张 雯(1981-), 女, 博士研究生, 从事电磁无损检测方法与技术方面的研究。
引用该论文: ZHANG Wen,LEI Yin-Zhao. Transient Eddy Current Field due to a Tilted Circular Coil Above a Plate Conductor[J]. Nondestructive Testing, 2010, 32(11): 871～876
张 雯,雷银照. 平板导体上方倾斜圆形线圈的瞬态涡流场[J]. 无损检测, 2010, 32(11): 871～876
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参考文献
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【7】Ludwig R, Dai X W. Numerical and analytical modeling of pulsed eddy currents in a conducting half-space[J]. IEEE Transactions on Magnetics, 1990, 26(1): 299-307.
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【9】雷银照, 熊华俊, 王书彬.线性瞬态涡流场定解问题中的法向边界条件与解的唯一性[J].中国电机工程学报, 2003, 23(4): 81-85.
【10】de Haan V O, de Jong P A. Analytical expressions for transient induction voltage in a receiving coil due to a coaxial transmitting coil over a conducting plate [J]. IEEE Transactions on Magnetics, 2004, 40(2): 371-378.
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【12】Tsaknakis H J, Kriezis E E. Field distribution due to a circular current loop placed in an arbitrary position above a conducting plate[J]. IEEE Transactions on Geoscience and Remote Sensing, 1985, 23(6): 834-840.
【13】刘式适, 刘式达.特殊函数[M].北京: 气象出版社, 1988: 456.
【14】Davies B. Integral transforms and their applications[M]. 3rd ed. New York: Springer-Verlag, 2002: 329-331.
【2】Mayos M, Mastorchio S, Aubry L, et al. Simulation of the behavior of Cecco probes to lift-off and tilt effects during tube inspection[C]. Amsterdam: IOS Press, 1999: 208-216.
【3】Albanese R, Barresi R, Carbone M, et al. Tools for the design of fluxset probes addressed to the detection of deep defects[C]. Amsterdam: IOS Press, 2004: 52-57.
【4】Zhang Yuhua, Luo Feilu, Sun Huixian. Impedance evaluation of a probe-coil’s lift-off and tilt effect in eddy-current nondestructive inspection by 3D finite element modeling[DB/OL]. http: //www.ndt.net/article/wcndt2008/toc.htm, 2008.11/2009.12.
【5】张敬因, 雷银照.一种具有聚焦作用的线圈涡流问题解析解[J].无损检测, 2007, 29(2): 57-60, 70.
【6】Tegopoulos J A, Kriezis E E. Eddy currents in linear conducting media[M]. Amsterdam: Elsevier, 1985: 23: 259-272.
【7】Ludwig R, Dai X W. Numerical and analytical modeling of pulsed eddy currents in a conducting half-space[J]. IEEE Transactions on Magnetics, 1990, 26(1): 299-307.
【8】Bowler J, Johnson M. Pulsed eddy-current response to a conducting half-space[J]. IEEE Transactions on Magnetics, 1997, 33(3): 2258-2264.
【9】雷银照, 熊华俊, 王书彬.线性瞬态涡流场定解问题中的法向边界条件与解的唯一性[J].中国电机工程学报, 2003, 23(4): 81-85.
【10】de Haan V O, de Jong P A. Analytical expressions for transient induction voltage in a receiving coil due to a coaxial transmitting coil over a conducting plate [J]. IEEE Transactions on Magnetics, 2004, 40(2): 371-378.
【11】刘鹏程.工程电磁场简明手册[M].北京: 高等教育出版社, 1991: 58.
【12】Tsaknakis H J, Kriezis E E. Field distribution due to a circular current loop placed in an arbitrary position above a conducting plate[J]. IEEE Transactions on Geoscience and Remote Sensing, 1985, 23(6): 834-840.
【13】刘式适, 刘式达.特殊函数[M].北京: 气象出版社, 1988: 456.
【14】Davies B. Integral transforms and their applications[M]. 3rd ed. New York: Springer-Verlag, 2002: 329-331.
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