三轴磁传感器正交性校正的矢量校准方法

王鹏飞; 曾立; 唐文庆; 王静

doi:10.11728/cjss2018.06.953

三轴磁传感器正交性校正的矢量校准方法

doi: 10.11728/cjss2018.06.953

1. 北京航空航天大学空间与环境学院北京 100191;
2. 山东航天电子技术研究所烟台 264670

基金项目:

国家自然科学基金项目资助（41274190，41074130）

详细信息

作者简介:
王鹏飞,E-mail:18810450316@163.com

中图分类号: V524;TH762.3
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- 被引次数: 0
出版历程
- 收稿日期: 2017-09-27
- 修回日期: 2018-02-28
- 刊出日期: 2018-11-15

Vector Calibration Method for Orthogonality Correction of Three-axis Magnetometers

1. School of Space and Environment, Beihang University, Beijing 100191;
2. Shandong Institute of Space Electronic Technology, Yantai 264670

摘要

摘要: 提出一种基于误差分离的矢量校准法用于三轴感应式磁传感器的正交性校正.建立了正交性校正的矢量校准数学模型，针对校正过程中的安装误差进行误差项分离校正，结合卡尔曼滤波与最小二乘法对模型参数进行求解得到正交性校正矩阵.仿真和实验结果表明，基于矢量校准数学模型的校准方法可行且有效，在输入磁场2.5nT情况下，测量误差由传统方法的0.0962nT减小到0.0019nT.此方法已应用于某星载感应式磁力仪的正交性校正.
- 三轴磁传感器 /
- 正交性校正 /
- 矢量校准 /
- 安装误差
Abstract: An vector calibration method is proposed based on the error separation technique for orthogonality correction of three-axis magnetic sensor. Mathematical model of vector calibration was established for orthogonality correction. The installation error in the process of correction was calibrated by the error separation technique. Model parameters were solved with a kind of method which combined the Kalman filtering and least square method and got a matrix that can be used to the orthogonality correction. The simulation and experiment results showed that the whole calibration process was feasible and effective. The error reduced from 0.0962nT to 0.0019nT in the case of total magnetic field was 2.5nT. This method has been applied to the orthogonality correction of an satellite-boneinduction magnetometer.
- Three-axis magnetometers /
- Orthogonality correction /
- Vector calibration /
- Installation error

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参考文献(20)

[1]	CAO J B, LIU Z X, YANG J Y, et al. First results of low frequency electromagnetic wave detector of TC-2/Double Star program[J]. Ann. Geophys., 2005, 23(8):2803-2811
[2]	CORNILLEAU-WEHRLIN N, ALLEYNE H S C, YEARBY K H, et al. The STAFF-DWP wave instrument on the DSP equatorial spacecraft: description and first results[J]. Ann. Geophys., 2005, 23(8):2785-2801
[3]	WEI X H, CAO J B, ZHOU G C, et al. Cluster observations of waves in the whistler frequency range associated with magnetic reconnection in the Earth's magnetotail[J]. J. Geophys. Res., 2007, 112(A10):A10225
[4]	LIU Kai, MI Xiaoli, ZHU Wanhua, et al. A design of high sensitivity induction magnetometer for TEM[J]. Chin. J. Geophys., 2014, 57(10):3485-3492 (刘凯, 米晓利, 朱万华, 等. 一种用于TEM高灵敏度感应式磁场传感器设计[J]. 地球物理学报, 2014, 57(10):3485-3492)
[5]	KOK M, SCHÖN T B. Magnetometer calibration using inertial sensors[J]. IEEE Sens. J., 2016, 16(14):5679-5689
[6]	GAO Xiang, YAN Shenggang, LI Bin. Study on the steering differential calibration method for magnetic gradiometer base on tri-axis fluxgate[J]. Chin. J. Sci. Instrum., 2016, 37(6):1226-1232 (高翔, 严胜刚, 李斌. 三轴磁通门磁梯度仪转向差校正方法研究[J]. 仪器仪表学报, 2016, 37(6):1226-1232)
[7]	SHI Gang, LI Xisheng, LI Xuefeng, et al. Equivalent two-step algorithm for the calibration of three-axis magnetic sensor in heading measurement system[J]. Chin. J. Sci. Instrum., 2017, 38(1):402-407 (石岗, 李希胜, 李雪峰, 等. 航向测量系统中三轴磁传感器标定的等效两步法[J]. 仪器仪表学报, 2017, 38(1):402-407)
[8]	LI Xiang, LI Zhi. Dot product invariance method for the calibration of three-axis magnetometer in attitude and heading reference system[J]. Chin. J. Sci. Instrum., 2012, 33(8):1813-1818 (李翔, 李智. 航姿参考系统三轴磁强计校正的点积不变法[J]. 仪器仪表学报, 2012, 33(8):1813-1818)
[9]	HUANG Yu, HAO Yanling. Error correction of magnetic field component gradiometer based on FLANN and least-squares[J]. Chin. J. Sci. Instrum., 2012, 33(4):911-917 (黄玉, 郝燕玲. 基于FLANN和最小二乘的磁梯度计误差校正[J]. 仪器仪表学报, 2012, 33(4):911-917)
[10]	WU Yongliang, WANG Tianmiao, LIANG Jianhong. In-suit error calibration of three-axis magnetometer for unmanned aerial vehicle[J]. Acta Aeronaut. Astronaut. Sin., 2011, 32(1):330-336 (吴永亮, 王田苗, 梁建宏. 微小型无人机三轴磁强计现场误差校正方法[J]. 航空学报, 2011, 32(1): 330-336)
[11]	FANG Jiancheng, SUN Hongwei, CAO Juanjuan, et al. A novel calibration method of magnetic compass based on ellipsoid fitting[J]. IEEE Trans. Instrum. Meas., 2011, 60(6):2053-2061
[12]	LONG Li, HUANG Jiacai. Recursive least square based online error calibration method in geomagnetic detection[J]. Chin. J. Sci. Instrum., 2017, 38(6):1440-1446 (龙礼, 黄家才. 基于递推最小二乘法的地磁测量误差校正方法[J]. 仪器仪表学报, 2017, 38(6):1440-1446)
[13]	HEMERLY E M, COELHO F A A. Explicit solution for magnetometer calibration[J]. IEEE Trans. Instrum. Meas., 2014, 63(8):2093-2095
[14]	HUANG Lin, JING Wuxing. Spacecraft attitude determination and three-axis magnetometer calibration[J]. J. Astron., 2008, 29(3):854-859 (黄琳, 荆武兴. 卫星姿态确定与三轴磁强计校正[J]. 宇航学报, 2008, 29(3):854-859)
[15]	LEFFERTS E J, MARKLEY F L, SHUSTER M D. Kalman filtering for spacecraft attitude estimation[J]. J. Guid. Control Dyn., 2012, 5(5):417-429
[16]	PANG Hongfeng, PAN Mengchun, WANG Wei, et al. Error calibration of three axis magnetometer based on Gauss-Newton iteration algorithm[J]. Chin. J. Sci. Instrum., 2013, 34(7):1506-1511 (庞鸿锋, 潘孟春, 王伟, 等. 基于高斯牛顿迭代算法的三轴磁强计校正[J]. 仪器仪表学报, 2013, 34(7):1506-1511)
[17]	GAN Pan, YANG Xiaofei, OUYANG Jun. Research and implementation of high-precision embedded geomagnetic measuring instrument[J]. Instrum. Tech. Sens., 2015(11):45-48 (甘攀, 杨晓非, 欧阳君. 高精度嵌入式地磁测量仪的研究与实现[J]. 仪表技术与传感器, 2015(11):45-48)
[18]	GAO Ke, LIN Xinhua, CHU Zhiwei, et al. Calibration method of electronic compass with error-separation based on non-magnetic turntable[J]. Transd. Microsyst. Technol., 2017, 36(1):21-24 (高可, 林新华, 储志伟, 等. 无磁转台的电子罗盘误差分离标定方法[J]. 传感器与微系统, 2017, 36(1):21-24)
[19]	ZHU Wanhua, DI Qingyun, LIU Leisong, et al. Development of search coil magnetometer based on magnetic flux negative feedback structure[J]. Chin. J. Geophys., 2013, 56(11):3683-3689 (朱万华, 底青云, 刘雷松, 等. 基于磁通负反馈结构的高灵敏度感应式磁场传感器研制[J]. 地球物理学报, 2013, 56(11):3683-3689)
[20]	CHEN Yu, HAN Xiao, WANG Yue, et al. Design of data preprocessing system based on Matlab for Triaxial intersecting induction magnetometer[J]. Chin. J. Space Sci., 2017, 37(5):622-628 (陈昱, 韩潇, 王越, 王鹏飞. 基于Matlab的三轴感应式磁力仪数据预处理软件系统设计[J]. 空间科学学报, 2017, 37(5):622-628)