Correction Method of The Cross-type Tensor Based on DA-LM

Authors

  • Caihong Li
  • Song Zhang

DOI:

https://doi.org/10.54097/ajst.v5i1.5636

Keywords:

Magnetic sensor tensor system, Weak magnetic target, Scalar correction, DA-LM algorithm.

Abstract

Magnetic sensor tensor system detection is a weak magnetic target detection. It requires high accuracy for the tensor system. In order to solve the problems of non-orthogonal error, scale factor error, zero error and non-alignment error in tensor system, a tensor error correction method based on DA-LM algorithm is proposed. Using tensor rotation invariance and the principle of scalar correction, a mathematical model including non-orthogonal error, scale factor error, zero error and non-alignment error is established, and the DA-LM algorithm is used to solve the unknown parameters of the equations. This method can not only estimate the parameters accurately. It can also calibrate the observed data to the orthogonal coordinates. The validity of the method is verified by simulation analysis and experiment. The error is reduced from 2500 nT to 0.15 nT in the simulation analysis and from 11000 nT to 200 nT in the experiment, and finally the position error is reduced from 13.15 m to 2.3217 m, which further verifies the validity of the correction algorithm.

Downloads

Download data is not yet available.

References

Yanliang Yuan, Baohua Liu and Guien Zhang(2005). Application of Magnetic Method to Ocean Engineering. Advances in Marine Science, no.01, p.114-119.

Jian Zhang, Chunsheng Lin and Fan Huang(2011). Application of OBF Decomposition and BP Neural Network to Magnetic Signal Detection of a Ship. Marine Electric & Electronic Engineering, vol.31, no.07, p.13-16.

Jinyong Ma(2018). Application of high precision magnetic prospecting in regional investigation. World Nonferrous Metals, no.07, p.148-149.

Sheng Cai(2018). The Application of Geophysical Magnetic Exploration in Railway Surveying. Railway Investigation and Surveying, vol.44, no.01, p.88-91.

Han Song, Liang Zou and Xiuqun Zhang(2019). Inter-Turn Short-Circuit Detection of Dry-Type Air-Core Reactor Based on Spatial Magnetic Field Distribution. Transactions of China Electrotechnical Society, vol.34, no.s1, p.105-117.

Changda Zhang(2007). Some Problems Concerning the Magnetic Anomaly Detection. Chinese Journal of Engineering Geophysics, vol.06, no.06, p.549-553.

W. Wynn, C. Frahm and P. Carroll(1975). Advanced superconducting gradiometer/Magnetometer arrays and a novel signal processing technique. IEEE Transactions on Magnetics, vol.11, no.02, pp.701-707.

R. Stolz, V. Zakosarenko and M. Schulz(2006). Magnetic full-tensor SQUID gradiometer system for geophysical applications. The Leading Edge, vol.25, no.02, p.178-180.

Robert E B, Smith D V and Brown P J(2005). Calibrating a tensor magnetic gradiometer using spin data. Reston VA US.

R. Wiegert, B. Price and J. Hyder(2002). Magnetic anomaly sensing system for mine countermeasures using high mobility autonomous sensing platforms. OCEANS '02 MTS/IEEE, vol.02, p.937-944.

Roy F and Wiegert. Man-Portable Magnetic Scalar Triangulation and Ranging System for Detection. Localization and Discrimination of UXO.

Allen G I , Sulzberger G and Bono J T(2005). Initial evaluation of the new real-time tracking gradiometer designed for small unmanned underwater vehicles. IEEE.

Keenan S T, Young J A and Foley C P(2010). A high- T c flip-chip SQUID gradiometer for mobile underwater magnetic sensing. Superconductor Science Technology, vol.23, no.02, p.24.

Pei Y H , Yeo H G and Kang X Y(2010). Magnetic gradiometer on an AUV for buried object detection. IEEE, p.1-8.

Cocchi L , Carmisciano C and Palangio P(2015). S3MAG - Low magnetic noise AUV for multipurpose investigations. IEEE.

Ying Wang, Longqing Qiu and Wen Shi(2015). Study on Compensation of Unbalance of Full-Tensor LTS-SQUID Magnetic Gradiometer. Low Temperature Physical Letters, vol.37, no.03, p.169-173.

Zhao J, Wang J and Liu G(2009). Axial high-temperature rf SQUID gradiometer system for geomagnetic prospecting. Electronic Measurement & Instruments, no.01, 704-707.

Jing Zhao, Guangda Liu and Zhanfeng An(2011). Design and Implementation of Measurement and Control System for HTS SQUID Gradiometer. Computer Measurement & Control, vol.19, no.05, p.1052-1054.

Yin Gang, Zhang Yingtang and Fan Hongbo(2015). Linear calibration method of magnetic gradient tensor system. Measurement, vol.45, no.03, p.1012-1016.

Yu Zhao, Jin Zhang and Ruihui Deng(2014). The RS-HC3 System of Marine Tenser Magnetic Gradient and Its Application. Hydrographic Surveying and Charting, vol.34, no.02, p.25-27.

Yangyi Sui, Guang Li and Wang Shilong(2014). Compact fluxgate magnetic full-tensor gradiometer with spherical feedback coil. The Review of scientific instruments, vol.85, no.01, p.75-77.

Yangyi Sui, Hongsong Miao and Yanzhang Wang(2016). Correction of a Towed Airborne Fluxgate Magnetic Tensor Gradiometer. Remote Sensing Lett, vol.13, no.12.

Sheng D, Perry A R and Krzyzewski S P(2017). A microfabricated optically-pumped magnetic gradiometer. Applied Physics Letters, vol.110, no.03, p.1106-1109.

Jin H H, Zhuang Z H and Wang H B(2018). None-Asphericity-Error Method for Magnetic Dipole Target Detection. IEEE Geoscience and Remote Sensing Letters, vol.15, no.08, p.1-5.

Jin H, Guo J and Wang H(2020). Magnetic Anomaly Detection and Localization Using Orthogonal Basis of Magnetic Tensor Contraction. IEEE Transactions on Geoscience and Remote Sensing, vol.58, no.8, pp.5944-5954.

Xiaoqian Duan, Dongxing Pei and Peng Yuan(2019). Single Point Positioning Method Based on Magnetic Moment Gradient Tensor. Journal of Ordnance Equipment Engineering, vol.40, no.08, p.165-169.

Qingzu Li, Zhining Li and Yingtang Zhang(2017). Two-step linear calibration of planar cross magnetic gradient tensor system. Chinese Journal of Scientific Instrument, vol.38, no.09, p.2232-2242.

Gebre Egziabher, Demoz Elkaim and G Powell(2022). A non-linear, two-step estimation algorithm for calibrating solid-state strapdown magnetometers.

Xiang Li and Zhi Li(2012). Dot product invariance method for the calibration of three-axis magnetometer in attitude and heading reference system. Chinese Journal of Scientific Instrument, vol.33, no.08, p.1813-1818.

Xiang, Li, Baiqi(2018). Researchers from Guilin University of Electronic Technology Discuss Findings in Sensor Research (Calibration and Alignment of Tri-Axial Magnetometers for Attitude Determination). Journal of Technology & Science.

Xiaoyu Tang, Li Yang and Chaoqun Xu(2021). Study on Calibration Method of Three-Axis Magnetic Sensor Based on Gaussian Process Regression. Chinese Journal of Sensors and Actuators, vol.34, no.10, p.1340-1345.

Mu Y , Wang C and Zhang X(2018). A Novel Calibration Method for Magnetometer Array in Nonuniform Background Field. IEEE Transactions on Instrumentation and Measurement, no.99, p.1-9.

Limin Liu(2012). Configuration Design , Error Analysis and Underwater Target Detection of Fluxgate Tensor Magnetometer. JILIN University, p.10-23.

Weimin Wu, Wangyang Wu and Zhiyi Lin(2017). Dragonfly algorithm based on enhancing exchange of individuals’ information. Computer Engineering and Applications, vol.53, no.02, p.223-231.

Meiying Qiao, Chengkuan Xu and Xiaxia Tang(2021). Application research of DA-LM Algorithm in Error Correction of MEMS Accelerometer. Chinese Journal of Sensors and Actuators, vol.34, no,02, p.223-231.

Downloads

Published

06-03-2023

Issue

Section

Articles

How to Cite

Li, C., & Zhang, S. (2023). Correction Method of The Cross-type Tensor Based on DA-LM. Academic Journal of Science and Technology, 5(1), 218-225. https://doi.org/10.54097/ajst.v5i1.5636