杨志成,严胜刚,李斌.三分量磁通门梯度仪校准算法研究[J].仪器仪表学报,2017,38(8):2055-2061
三分量磁通门梯度仪校准算法研究
Study on the calibration method for tri axis fluxgate gradiometer
  
DOI:
中文关键词:  三轴磁通门梯度仪  误差校准  线性化最小二乘  最小F范数  多元线性回归
英文关键词:tri axis fluxgate gradiometer  error calibration  linear least square  minimum F norm  multiple linear regression
基金项目:国家自然科学基金(61601374)项目资助
作者单位
杨志成 1.西北工业大学航海学院西安710072;2.海洋声学信息感知工业和信息化部重点实验室西安710072 
严胜刚 1.西北工业大学航海学院西安710072;2.海洋声学信息感知工业和信息化部重点实验室西安710072 
李斌 1.西北工业大学航海学院西安710072;2.海洋声学信息感知工业和信息化部重点实验室西安710072 
AuthorInstitution
Yang Zhicheng 1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi′an 710072, China; 2. Key Laboratory of Ocean Acoustics and Information Sensing, Ministry of Industry and Information Technology, Xi′an 710072, China 
Yan Shenggang 1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi′an 710072, China; 2. Key Laboratory of Ocean Acoustics and Information Sensing, Ministry of Industry and Information Technology, Xi′an 710072, China 
Li Bin 1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi′an 710072, China; 2. Key Laboratory of Ocean Acoustics and Information Sensing, Ministry of Industry and Information Technology, Xi′an 710072, China 
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中文摘要:
      针对三轴磁通门传感器非正交、灵敏度不一致、零偏以及构成梯度仪的两个磁通门传感器位置不一致引起的测量误差问题,建立了误差模型;基于地磁矢量模值短时不变原理,采用线性化最小二乘算法进行一个磁通门传感器参数的辨识;基于校准后三分量差值F范数最小原理,采用多元线性回归的方法进行另一个磁通门传感器参数以及两个磁通门传感器相对位置关系参数的辨识。实验结果表明,该方法能够将两个磁通门中最大总场误差从1 194.4 nT降低到30.0 nT,将三分量梯度仪最大输出误差从529.1 nT降低到13.4 nT,有效地改善了梯度仪性能。
英文摘要:
      Aiming at the measurement errors caused by non orthogonality, inconsistent sensitivity, zero offset of the tri axis fluxgate sensor and the position misalignment of two fluxgate sensors composed of the gradiometer, the error model is established in this paper. Based on the invariance principle of total geomagnetic field vector modulus in a short time, the parameter identification of the first fluxgate sensor is performed with linear least squares algorithm; based on the principle of the minimum F norm of the 3 component difference after calibration, the parameter identification of the second fluxgate sensor and the relative position between two fluxgate sensors are conducted with the multiple linear regression method. The experiment results show that the proposed method can reduce the maximum total magnetic field error of two fluxgate magnetometers from 1 194.4 nT to 30.0 nT, and the maximum output error of the three component gradiometer from 529.1 nT to 13.4 nT. The performance of the gradiometer is effectively improved.
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