作者：张涛, 王新华, ZIA Ullah

作者单位：北京工业大学机械工程与应用电子技术学院, 北京 100124

关键词：传感器阵列;一阶磁梯度张量;二阶磁梯度张量;地磁场;插值;磁源定位

摘要：

为实现多阶磁梯度张量的准确测量，提出一种磁传感器阵列。阵列由9个三轴磁传感器组成，在平面呈菱形排列。根据张量对称性，提出一阶及二阶磁梯度张量计算方法。采用Floater-Hormann有理插值完成测量盲点的修正。根据磁偶极子原理建立仿真模型，研究阵列在地磁场和噪声背景下的一阶及二阶磁梯度张量测量精度。仿真结果表明，提出阵列在磁梯度张量测量精度、完整性方面优于十字形阵列和六面体阵列。基于一阶和二阶磁梯度张量的定位应用也可证明所提出阵列的有效性。

A sensor array for multiple-order magnetic gradient tensor measurement
ZHANG Tao, WANG Xinhua, ZIA Ullah
Department of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China
Abstract: A magnetic sensor array was proposed to measure multiple-order magnetic gradient tensor (MGT) accurately. The array was composed of 9 three-axis magnetic sensors and arranged in the form of diamond on the plane. According to tensor symmetry, the calculation method of different-order MGT was proposed. Floater-Hormann rational interpolation was adopted to complete blind spot amendment. According to simulation model based on magnetic dipole theory, the effectiveness of first-order and second-order MGT was researched under geomagnetic field and noise backgrounds. The simulation results showed that the proposed array outperforms cross and hexahedron array in terms of measurement precision and integrity. The application of magnetic source positioning based on first-order and second-order MGT was carried out to illustrate the proposed array of effectiveness.
Keywords: sensor array;first-order magnetic gradient tensor;second-order magnetic gradient tensor;geomagnetic field;interpolation;magnetic source positioning
2019, 45(8):93-99  收稿日期: 2018-11-22;收到修改稿日期: 2019-01-18
基金项目: 国家重点研发计划项目（2017YFC0805005-1）；北京市教育委员会科研计划项目资助（KZ201810005009）；中国博士后基金（2018T110020）
作者简介: 张涛(1989-),男,山西太原市人,博士研究生,研究方向为管道地磁检测
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