十字形磁梯度张量系统的误差校正

发布时间：2018-04-10 13:41

本文选题：磁场测量 + 椭球拟合　；参考：《光学精密工程》2017年07期

【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 049nT/m降到52nT/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]:In view of the single magnetometer error (triaxial sensitivity deviation, nonorthogonal error and zero drift error) and the misalignment error between magnetometers in the cross magnetic gradient Zhang Liang system,An error correction method for cross-shaped magnetic gradient Zhang Liang system is proposed.First of all, a single magnetometer error model is established, and the ellipsoid fitting parameters are obtained by using the least square fitting algorithm based on ellipsoid constraint to fit the measured data of the magnetometer.Then the error correction matrix of single magnetometer is obtained by using Cholesky decomposition. Finally, on the basis of error correction of single magnetometer,The orthogonal Procrustes method is used to fit the measured data between different magnetometers to obtain the correction matrix of the misalignment error between magnetometers.The experimental results show that the maximum fluctuation of each component of the magnetic gradient Zhang Liang has been reduced from 10 049nT/m to 52 NT / m.The proposed correction method can basically eliminate the errors of the cross magnetic gradient Zhang Liang system and improve the accuracy of the measurement results. The method is simple in operation and does not require high-precision triaxial non-magnetic turntable and so on. It is of high practical value.
【作者单位】：海军航空工程学院控制工程系;
【基金】：国家863高技术研究发展计划资助项目(No.2015AA0922)
【分类号】：TM936.1

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