Misalignment error calibration and correction of magnetic tensor measurement system

ZHANG Lun; ZHANG Xiaoming; MA Xihong; TAO Wei; YANG Xiaolei

doi:10.13873/J.1000-9787(2021)12-0137-04

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Misalignment error calibration and correction of magnetic tensor measurement system

更新时间：2025-09-11

- Misalignment error calibration and correction of magnetic tensor measurement system
- Issue 12, Pages: 137-140(2021)
- 作者机构：
  
  1. 中北大学电子测试技术国家重点实验室
  2. 中北大学仪器科学与动态测试教育部重点实验室
- 作者简介：
- 基金信息：
- DOI：10.13873/J.1000-9787(2021)12-0137-04
  CLC： O441.2;TP212
- Published：2021
- 稿件说明：
移动端阅览
ZHANG Lun, ZHANG Xiaoming, MA Xihong, et al. Misalignment error calibration and correction of magnetic tensor measurement system[J]. 2021, (12): 137-140.
DOI：

ZHANG Lun, ZHANG Xiaoming, MA Xihong, et al. Misalignment error calibration and correction of magnetic tensor measurement system[J]. 2021, (12): 137-140. DOI： 10.13873/J.1000-9787(2021)12-0137-04.

摘要

针对实际工程中磁张量测量系统中多个传感器间会存在非对准误差严重影响测量精度这一问题

提出一种非对准误差角标定及校正方法。通过分析非对准误差的产生机理

建立测量系统非对准误差模型

构建传感器与参考传感器正交系输出之间的线性关系;考虑到最小二乘法估计忽视各传感器测量噪声误差的问题

采用整体最小二乘法求解非对准误差角。仿真结果误差预测精度均高于99.7%;实测校正后张量分量根均方误差(RMSE)降至65 nT/m以内

相对于最小二乘法降低了一个数量级

可以有效提高磁张量测量系统测量精度。

Abstract

Aiming at the problem that there will be misalignment errors among multiple sensors in the magnetic tensor measurement system in practical engineering

which will seriously affect the measurement accuracy

a calibration and correction method of misalignment error angle is proposed.By analyzing the generation mechanism of misalignment error

the misalignment error model of the measurement system is established

and the linear relationship between the orthogonal system output of the sensor and the reference sensor is constructed.Considering the problem that the least square estimation ignores the measurement noise error of each sensor

the overall minimum two multiplication is used to solve the misalignment error angle.Through simulation

the prediction accuracy of error is higher than 99.7 %.After the measurement and correction

the tensor component root mean square error（RMSE）is reduced to less than 65 nT/m

which is an order of magnitude lower than the least square method

which can effectively improve the measurement precision of the magnetic tensor measurement system.

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