十字形磁梯度张量系统的误差校正

迟铖; 吕俊伟; 黄婧丽

doi:10.3788/OPE.20172507.1919

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十字形磁梯度张量系统的误差校正

信息科学 | 更新时间：2020-07-07

- 十字形磁梯度张量系统的误差校正
- Error calibration of cross magnetic gradiometer
- 光学精密工程 2017年25卷第7期页码：1919-1926
- 作者机构：
  
  海军航空工程学院控制工程系, 山东烟台 264001
- 作者简介：
  
  [ "迟铖(1989-), 男, 山东日照人, 博士研究生, 2011年于河海大学获得学士学位, 2013年于海军潜艇学院获得硕士学位, 主要从事磁性目标探测及磁干扰消除方面的研究。E-mail:cheng.chihhu@163.com" ]
  [ "吕俊伟(1960-), 男, 山东牟平人, 教授, 博士生导师, 1985年于吉林工业大学获得硕士学位, 2003年于法国第戎大学获得博士学位, 主要从事目标识别与智能系统?目标探测与跟踪等方面的研究. E-mail:ljwei369@163.com" ]
- 基金信息：
  
  国家863高技术研究发展计划资助项目(2015AA0922)
- DOI：10.3788/OPE.20172507.1919
  中图分类号： U666.11;TP273
- 收稿日期：2017-01-19，
  
  录用日期：2017-3-6，
  
  纸质出版日期：2017-07-25
- 稿件说明：
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迟铖, 吕俊伟, 黄婧丽. 十字形磁梯度张量系统的误差校正[J]. 光学精密工程, 2017,25(7):1919-1926.

Cheng CHI, Jun-wei LÜ, Jing-li HUANG. Error calibration of cross magnetic gradiometer[J]. Optics and precision engineering, 2017, 25(7): 1919-1926.
迟铖, 吕俊伟, 黄婧丽. 十字形磁梯度张量系统的误差校正[J]. 光学精密工程, 2017,25(7):1919-1926. DOI： 10.3788/OPE.20172507.1919.

Cheng CHI, Jun-wei LÜ, Jing-li HUANG. Error calibration of cross magnetic gradiometer[J]. Optics and precision engineering, 2017, 25(7): 1919-1926. DOI： 10.3788/OPE.20172507.1919.

摘要

针对十字形磁梯度张量系统中的单磁力仪误差（三轴灵敏度偏差、非正交误差和零点漂移误差）以及磁力仪之间存在的不对正误差，提出了十字形磁梯度张量系统的误差校正方法。首先，建立单磁力仪误差模型，采用基于椭球约束的最小二乘拟合算法对磁力仪的测量数据进行拟合从而得到椭球拟合参数；然后，接着利用Cholesky分解得到单磁力仪误差校正矩阵；最后在单磁力仪误差校正的基础上，利用正交Procrustes方法对不同磁力仪间的测量数据进行拟合从而得到磁力仪间的不对正误差校正矩阵。对提出的方法进行仿真与实测实验验证，实验结果表明：经过校正，磁梯度张量各分量的最大波动量由10 049 nT/m降到52 nT/m。提出的校正方法可以基本消除十字形磁梯度张量系统的误差，提高测量结果的准确度，且方法操作简单，不需要高精度的三轴无磁转台等设备，具有较高的实用价值。

Abstract

For the vector magnetometer errors (scale factors

non-orthogonal error

bias) and misalignment error of the cross magnetic gradiometer

an error calibration method was proposed in this paper. Firstly

an error calibration model of the vector magnetometer errors was established

ellipsoid fitting parameters are calculated by the least square algorithm under ellipsoid restriction for fitting the measurement data to an ellipsoid. Then the Cholesky factorization was used to calculate the error calibration matrix of the vector magnetometer errors

and then the misalignment error calibration matrix could be solved by the orthogonal Procrustes method. Finally

simulations and experiments were carried out for verification of the proposed error calibration method. The experiment result shows:after calibration

the maximum fluctuation quantity of all components of the magnetic gradient tensor reduces from 10 049 nT/m to 52 nT/m. The proposed error calibration method can effectively calibrate the cross magnetic gradiometer

and the cross magnetic gradiometer can be calibrated without using high precision tri-axial non-magnetic platform

the proposed method has high value for practical application.

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