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?

陈兴乐; 雷银照

doi:10.7498/aps.63.240301

北京航空航天大学自动化科学与电气工程学院,北京,100191

Analytical solutions to pulsed eddy current field excited by a differently oriented prob e coil outside a conducting ferromagnetic pip e

摘要: 利用二阶矢量位和洛伦兹互易定理，解析求解了导电、导磁金属管道外任意放置线圈激励下非轴对称涡流场的频域解。利用求频域式极点处留数的方法求解拉普拉斯反变换，得到了脉冲电流激励下检测线圈两端感应电压以及管壁内脉冲涡流分布的时域解析式。分析比较了不同线圈放置方式下管壁内脉冲涡流的分布和扩散过程，以及感应电压对管壁的灵敏度。研究结果表明：当线圈轴线沿管道径向法线方向放置时，得到的感应电压时域信号最强，对壁厚的检测灵敏度最高。

关键词:

Abstract: Using the second-order vector potential and Lorentz reciprocity theorem, the non-axisymmetric eddy current field induced by a probe coil outside a conducting ferromagnetic pipe is obtained analytically, where the probe coil is differently oriented: its axis being along the pipe radial direction, parallel to the pipe axis, along the pipe circumferential direction. Then, the time-domain expressions of induced voltage and eddy current density in the pipe are obtained through the Laplace inverse transformation, by calculating the residues of poles. Furthermore, the diffusion process of pulsed eddy current in the pipe, and the detection sensitivity of the time-domain induced voltage signal to the wall thickness are studied. Finally, the analytical solutions are verified through the experimental results of a steel pipe. It is found that when the probe coil is positioned such that its axis is perpendicular to the pipe axis, the strongest and the most sensitive induction voltage signal for detecting the wall thickness of a ferromagnetic pipe is obtained.

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?

北京航空航天大学自动化科学与电气工程学院,北京,100191

关键词:

Analytical solutions to pulsed eddy current field excited by a differently oriented prob e coil outside a conducting ferromagnetic pip e

北京航空航天大学自动化科学与电气工程学院,北京,100191

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