Linear calibration method of magnetic gradient tensor system

被引：49

作者：

Yin Gang ^{[1
]}

Zhang Yingtang ^{[1
]}

Fan Hongbo ^{[1
]}

Zhang Guang ^{[1
]}

Ren Guoquan ^{[1
]}

机构：

[1] Mech Engn Coll, Dept 7, Shijiazhuang, He Bei Province, Peoples R China

来源：

MEASUREMENT | 2014年 / 56卷

关键词：

Magnetic gradient tensor; Scalar calibration; Linear calibration; Least square method; MAGNETOMETERS;

D O I：

10.1016/j.measurement.2014.06.017

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Based on the detailed analysis of systematic errors, mathematical model of error parameters is constructed and linear calibration method is proposed for magnetic gradient tensor system. Firstly, nonlinear mathematical model of error parameters for single vector magnetometer is constructed based on scalar calibration, and least square solution is deduced by two nonlinear conversions without any mathematical simplification. Then outputs of four tri-axial magnetometers are calibrated to sensor's orthogonal coordinate respectively. Secondly, a least square estimation is proposed for the misalignment errors between different magnetometers according to the rotation matrix comprising conversion of different orthogonal coordinate system. After calibration, outputs of tri-axial magnetometers are acquired along the ideally platform frame-orthogonal coordinate system and these enable calibration of magnetic gradient tensor system. Simulations and experiments show that the proposed linear calibration method can accurately solve the detailed error parameters and decrease measurement errors of magnetic gradient tensor system remarkably. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：8 / 18

页数：11

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