辅助源法在高频电磁层析成像系统的灵敏度分析中的应用

赵倩; 郝建娜; 陈广; 徐凯; 尹武良

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Application of the Method of Auxiliary Source to the Sensitivity Analysis of High Frequency Magnetic Induction Tomography System

首发时间：2012-11-16

ZHAO Qian ¹
ZHAO Qian,(1987-),Female,PHD,Main research:Forward problem of electromagnetic induction tomography.
HAO Jianna ² CHEN Guang ² XU Kai ² YIN Wuliang ²
YIN Wuliang(1971-),Male,Profession,Doctoral Tutor,Main research:Electromagnetic measurement，intelligent instrument，magnetic sensor technique，computer tomography

1、School of Electrical Engineering and Automation, Tianjin University, TianJin 300072
2、School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072

Abstract：Magnetic induction tomography (MIT) is an imaging technique based on the measurement of the magnetic field perturbation due to eddy currents induced in conducting objects exposed to an external magnetic excitation field. In MIT, current-carrying coils are used to induce eddy currents in the object and the induced voltages are sensed with receiving coils. When the driving frequency is significantly high, metallic targets with high conductivity between the coils can be treated as perfect electric conductors (PEC) with negligible errors. Boundary Element Method (BEM) based on integral formulations becomes an effective way to analyze this kind of scattering problems since meshes are only required on the surface of the object. But how to deal with the singular integral is a difficult issue unlikely to avoid. The method of auxiliary source (MAS) introduces the concepts of auxiliary surface and auxiliary source which avoid the computation of singular integrals. In this paper, the formula of sensitivity distribution was obtained by MAS with high efficiency and accuracy and then simulations by MATLAB were programmed. According to the good agreement of these results obtained by different numerical methods, we can know that MAS is an effective way to analyze the sensitivity distributions of high frequency MIT system.

keywords： Magnetic induction tomography perfect electric conductor boundary element method method of auxiliary source sensitivity distribution

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辅助源法在高频电磁层析成像系统的灵敏度分析中的应用

赵倩 ¹
ZHAO Qian,(1987-),Female,PHD,Main research:Forward problem of electromagnetic induction tomography.
郝建娜 ² 陈广 ² 徐凯 ² 尹武良 ²
YIN Wuliang(1971-),Male,Profession,Doctoral Tutor,Main research:Electromagnetic measurement，intelligent instrument，magnetic sensor technique，computer tomography

1、天津大学电气与自动化工程学院，天津 300072
2、天津大学电气与自动化工程学院，天津300072

摘要：电磁层析成像技术是一种基于电磁感应定律的工业过程成像技术，激励线圈产生的交变磁场在目标物体中产生涡流，进而产生二次磁场。接收线圈检测到感应电压后利用重建算法可以得到物场的分布信息。当激励频率足够高时，物场内的金属物体可以看做完美导体，即其导电率无限大。边界元法在电磁层析成像技术中已有一定的应用，边界元法基于标量磁势和表面网格划分使得求解过程的速度和效率显著提高。但是边界元法需要求解奇异积分，为了解决这个问题，辅助源法利用构造的辅助面和辅助源使源点和场点不再重合，进而避免了奇异积分的出现。本文针对一个高频电磁层析成像系统模型，利用辅助源法求解灵敏度分布，并利用MATLAB编程得到仿真结果。将所得结果与理论值进行对比分析后，可得辅助源法是一种有效并且准确的灵敏度分析方法。

关键词：电磁层析成像完美导体边界元法辅助源法灵敏度分布

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ZHAO Qian,HAO Jianna,CHEN Guang,et al. Application of the Method of Auxiliary Source to the Sensitivity Analysis of High Frequency Magnetic Induction Tomography System[EB/OL]. Beijing:Sciencepaper Online[2012-11-16]. https://www.paper.edu.cn/releasepaper/content/201211-301.

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论文编号	201211-301
论文题目	辅助源法在高频电磁层析成像系统的灵敏度分析中的应用
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