一种具有聚焦作用的线圈涡流问题解析解

基金项目:

国家自然科学基金项目(50377002)

详细信息

Analytical Solution of Eddy Current Problem Due to a Figure-8-shaped Coil Above a Conducting Plate

摘要: 为检测导体内更深处的缺陷，提出用8字形线圈作为涡流检测线圈，得到了8字形线圈在半无限大线性导体上方时涡流问题的解析解。仿真计算表明，与平行于导体表面放置的圆环形线圈相比， 8字形线圈所激励的涡流密度峰值更大，能量分布更集中。试验验证了斜置线圈的阻抗表达式。研究结果可用于指导涡流检测探头的设计。
- 涡流检测 /
- 8字形线圈 /
- 探头设计 /
- 解析解
Abstract: The eddy current problems of a figure-8-shaped coil were studied with analytical method. The study was based on the theory of eddy current field due to a circular current loop in an arbitrary position above a conducting plate . Expression of impedance increment of the figure-8-shaped coil, as well as the eddy current distribution within conducting medium, versus the angle between the double loops of figure-8-shaped coil was presented. By the means of simulation, it was concluded that eddy current density in conducting plate excited by the figure-8-shaped coil was greater and its distribution was more concentrative compared with that by a current loop parallel to plate in the same conditions. The result could be applied in eddy current testing sensor design.
- Eddy current testing /
- Figure-8-shaped coil /
- Sensor /
- Analytical solution

[1]	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.
[2]	雷银照.时谐电磁场解析方法[M].北京：科学出版社,2000:141-143.
[3]	Jackson J D. Classical Electrodynamics[M].北京：高等教育出版社,2004:241-242.
[4]	刘式适，刘式达.特殊函数[M].第二版.北京：气象出版社,2002:427-442.