Calculation and correction of magnetic object positioning error caused by magnetic field gradient tensor measurement

doi:10.21629/JSEE.2018.03.02

Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (3): 456-461.doi: 10.21629/JSEE.2018.03.02

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Calculation and correction of magnetic object positioning error caused by magnetic field gradient tensor measurement

Sansheng WANG^1,*(), Mingji ZHANG²(), Ning ZHANG¹(), Qiang GUO²()

¹ School of Physics, Beihang University, Beijing 100191, China
² School of Instrument Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China

Received:2016-12-22 Online:2018-06-28 Published:2018-07-02
Contact: Sansheng WANG E-mail:wangssh@tsinghua.edu.cn;zhangmingji1987@126.com;zhangnbuaa@163.com;guoqiangbuaa@163.com
About author:WANG Sansheng was born in 1973. He received his B.S. degree from Shandong University in 1996, M.S. and Ph.D. degrees from Dalian University of Technology in 1998 and 2002, respectively. Now he is an associate professor in Beihang University. His main research interests include high temperature superconducting material and weak magnetic field measurement. E-mail: wangssh@tsinghua.edu.cn|ZHANG Mingji was born in 1987. He received his B.S. degree from University of Electronic Science and Technology of China in 2011, M.S. degree from Beihang University in 2014. Now he is a doctor in Hong Kong Polytechnic University. His main research interest is weak magnetic field measurement. E-mail: zhangmingji1987@126.com|ZHANG Ning was born in 1992. She received her B.S. degree from Yanbian University in 2015. Now she is the student of School of Physics and Nuclear Energy Engineering in Beihang University. Her main research interest is magnetic object location and recognition. E-mail: zhangnbuaa@163.com|GUO Qiang was born in 1985. He received his B.S. degree in 2013 from Jilin University, M.S. degree from School of Instrumentation Science and Optoelectronics Engineering in Beihang University in 2016. His main research interests include high temperature superconducting material and weak magnetic field measurement. His main research interest is magnetic dipole location. E-mail: guoqiangbuaa@163.com
Supported by:
the National Natural Science Foundation of China(61473023);This work was supported by the National Natural Science Foundation of China (61473023)

Abstract

Abstract:

Magnetic field gradient tensor measurement is an important technique to obtain position information of magnetic objects. When using magnetic field sensors to measure magnetic field gradient as the coefficients of tensor, field differentiation is generally approximated by field difference. As a result, magnetic objects positioning by magnetic field gradient tensor measurement always involves an inherent error caused by sensor sizes, leading to a reduction in detectable distance and detectable angle. In this paper, the inherent positioning error caused by magnetic field gradient tensor measurement is calculated and corrected by iterations based on the systematic position error distribution patterns. The results show that, the detectable distance range and the angle range of an ac magnetic object (2.44 Am$ \bf^2 $ @1 kHz) can be increased from (0.45 m, 0.75 m), (0$ ^\circ $, 25$ ^\circ $) to (0.30 m, 0.80 m), (0$ ^\circ $, 80$ ^\circ $), respectively.

Key words: magnetic dipole, magnetic gradient tensor, positioning error, error correction.

Sansheng WANG, Mingji ZHANG, Ning ZHANG, Qiang GUO. Calculation and correction of magnetic object positioning error caused by magnetic field gradient tensor measurement[J]. Journal of Systems Engineering and Electronics, 2018, 29(3): 456-461.

Figures/Tables 8

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References 16

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r=(4.041E–02, 4.041E–02, 4.041E–02)		m=(5.774E–01, 5.774E–01, 5.774E–01)
r^*=(4.443E–02, 4.443E–02, 4.443E–02)		m^*=(7.670E–01, 7.670E–01, 7.670E–01)
Iteration times		Corrected positions
1	0.044 43	0.044 43	0.044 43
2	0.040 85	0.040 85	0.040 85
3	0.040 47	0.040 47	0.040 47
4	0.040 42	0.040 42	0.040 42
5	0.040 42	0.040 42	0.040 42
6	0.040 41	0.040 41	0.040 41
7	0.040 41	0.040 41	0.040 41
8	0.040 41	0.040 41	0.040 41

Calculation and correction of magnetic object positioning error caused by magnetic field gradient tensor measurement

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