基于遗传算法的磁通门磁力仪观测数据一致性校正
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摘要
在对全国地磁台站磁通门磁力仪记录数据的质量效能评估中发现,多个台站存在同台观测仪器的记录数据曲线不一致问题.针对这类问题,研究人员对多种地磁观测数据影响因素进行了定性或定量的分析.本文通过分析格值系数及姿态角对磁通门磁力仪记录数据的影响规律,建立磁通门磁力仪三轴校正模型,构建目标函数,并利用遗传算法对模型进行求解,测定仪器姿态角和格值系数,根据测定结果对记录数据进行一致性校正.数值模拟计算和台站实测实验结果表明:利用该算法解算的格值系数精度优于0.002,姿态角精度优于0.15°.根据解算结果计算,日变幅为50 nT时引入的日变形态不一致误差小于0.13 nT,满足国家地磁台网对地磁相对记录数据日变形态不一致误差的要求.
It is found that there is an inconsistent problem of the records in the survey of the observation data of the fluxgate magnetometer at the national geomagnetic station. In order to solve these problems, the factors of the geomagnetic observation data are analyzed qualitatively or quantitatively by some researchers. In this paper, based on the analysis of the influence of the lattice value and inconsistent azimuth on the observation data of the two sets of GM4 fluxgate magnetometer, we set up the triaxial calibration model, build the new objective function and solve the model by genetic algorithm. The lattice value and relative azimuth of the fluxgate magnetometer can finally be measured by genetic algorithm and we can correct the observation data in accordance with the results. The precision of the lattice value is better than 0.002 and that of the attitude angle is better than 0.15°. According to the calculation results, when we calibrate the data of fluxgate magnetometer, the error of daily variation shape is less than 0.13 nT while the daily change of the geomagnetic is 50 nT, which can satisfy the requirement of Geomagnetic Network of China for the inconsistency error of the geomagnetic relative record.
It is found that there is an inconsistent problem of the records in the survey of the observation data of the fluxgate magnetometer at the national geomagnetic station. In order to solve these problems, the factors of the geomagnetic observation data are analyzed qualitatively or quantitatively by some researchers. In this paper, based on the analysis of the influence of the lattice value and inconsistent azimuth on the observation data of the two sets of GM4 fluxgate magnetometer, we set up the triaxial calibration model, build the new objective function and solve the model by genetic algorithm. The lattice value and relative azimuth of the fluxgate magnetometer can finally be measured by genetic algorithm and we can correct the observation data in accordance with the results. The precision of the lattice value is better than 0.002 and that of the attitude angle is better than 0.15°. According to the calculation results, when we calibrate the data of fluxgate magnetometer, the error of daily variation shape is less than 0.13 nT while the daily change of the geomagnetic is 50 nT, which can satisfy the requirement of Geomagnetic Network of China for the inconsistency error of the geomagnetic relative record.
引文
Ji G L. 2004. Survey on genetic algorithm [J]. Computer Applications and Software (in Chinese), 21(2): 69-73.
Jiang B, Wang B W. 2000. Parameter estimation of nonlinear system based on genetic algorithms [J]. Control Theory and Applications (in Chinese), 17(1): 150-152.
Lu Z X, Zhang J S, Wang S C, et al. 2014. Calibration for tri-axial magnetometer based on adaptive genetic algorithm [J]. Chinese Journal of Sensors and Actuators (in Chinese), 27(3): 331-335, doi: 10.3969/j.issn.1004-1699.2014.03.011.
Lü Z P, Wu J C. 2016. Comparison of three-dimensional coordinate transformation algorithms [J]. Journal of Geodesy and Geodynamics (in Chinese), 36(1): 35-39.
Wang L S, Zhang Y C, Bian P F, et al. 2013. Data Quality Analysis of Hongshan Geomagnetic Station Using Stepwise Regression Aanlysis [J]. North China Earthquake Sciences (in Chinese), 31(3): 54-56, doi: 10.3969/j.issn.1003-1375.2013.03.010.
Wang X M, Teng Y T, Tan J, et al. 2017. Influencing factors of tri-axial fluxgate sensor horizontal and orientation on the accuracy of geomagnetic variation records [J]. Acta Seismologica Sinica (in Chinese), 39(3): 429- 435.
Wang X M, Teng Y T, Wang X Z, et al. 2008. The test method for the performance of fluxgate magnetometer [J]. Seismological and Geomagnetic Observation and Research (in Chinese), 29(6): 88-94.
Zeng W F, Zhang Y J, Yan L. 2009. Basic principle and application research of genetic algorithm [J]. Software Guide (in Chinese), 8(9): 54-56.
Zhang M, Yang F X, Zhang W L, et al. 2015. The preliminary analysis of directional angle and measurement accuracy on fluxgate magnetometer probe [J]. Seismological and Geomagnetic Observation and Research (in Chinese), 36(6): 102-108.
Zhang Y T, Zhang G, Li Z N, et al. 2013. Research on correction method of three-axis magnetic field sensor based on IGA [J]. Modern Manufacturing Engineering (in Chinese), (4): 122-125.
吉根林. 2004. 遗传算法研究综述[J]. 计算机应用与软件, 21(2): 69-73.
姜波, 汪秉文. 2000. 基于遗传算法的非线性系统模型参数估计[J]. 控制理论与应用, 17(1): 150-152.
卢兆兴, 张金生, 王仕成, 等. 2014. 基于自适应遗传算法的三轴磁强计误差校正方法[J]. 传感技术学报, 27(3): 331-336, doi: 10.3969/j.issn.1004-1699.2014.03.011.
吕志鹏, 伍吉仓. 2016. 三维坐标变换算法的比较[J]. 大地测量与地球动力学, 36(1): 35-39.
王莉森, 张云昌, 边鹏飞, 等. 2013. 利用逐步回归分析红山地磁台观测数据质量[J]. 华北地震科学, 31(3): 54-56, doi: 10.3969/j.issn.1003-1375.2013.03.010.
王晓美, 滕云田, 谭婧, 等. 2017. 三轴磁通门传感器水平和定向对地磁日变化观测数据的影响[J]. 地震学报, 39(3): 429- 435, doi: 10.11939/jass. 2017.03.012.
王晓美, 滕云田, 王喜珍, 等. 2008. GM4型磁通门磁力仪性能检验方法[J]. 地震地磁观测与研究, 29(6): 88-94.
曾文飞, 张英杰, 颜玲. 2009. 遗传算法的基本原理及其应用研究[J]. 软件导刊, 8(9): 54-56.
张敏, 杨福喜, 张文来, 等. 2015. 磁通门磁力仪探头定向角度与准确度标定分析[J]. 地震地磁观测与研究, 36(6): 102-108, doi: 10.3969/j.issn.1003-3246.2015.05.017.
张英堂, 张光, 李志宁, 等. 2013. 基于改进遗传算法的三轴磁场传感器校正方法研究[J]. 现代制造工程, (4): 122-125.
Jiang B, Wang B W. 2000. Parameter estimation of nonlinear system based on genetic algorithms [J]. Control Theory and Applications (in Chinese), 17(1): 150-152.
Lu Z X, Zhang J S, Wang S C, et al. 2014. Calibration for tri-axial magnetometer based on adaptive genetic algorithm [J]. Chinese Journal of Sensors and Actuators (in Chinese), 27(3): 331-335, doi: 10.3969/j.issn.1004-1699.2014.03.011.
Lü Z P, Wu J C. 2016. Comparison of three-dimensional coordinate transformation algorithms [J]. Journal of Geodesy and Geodynamics (in Chinese), 36(1): 35-39.
Wang L S, Zhang Y C, Bian P F, et al. 2013. Data Quality Analysis of Hongshan Geomagnetic Station Using Stepwise Regression Aanlysis [J]. North China Earthquake Sciences (in Chinese), 31(3): 54-56, doi: 10.3969/j.issn.1003-1375.2013.03.010.
Wang X M, Teng Y T, Tan J, et al. 2017. Influencing factors of tri-axial fluxgate sensor horizontal and orientation on the accuracy of geomagnetic variation records [J]. Acta Seismologica Sinica (in Chinese), 39(3): 429- 435.
Wang X M, Teng Y T, Wang X Z, et al. 2008. The test method for the performance of fluxgate magnetometer [J]. Seismological and Geomagnetic Observation and Research (in Chinese), 29(6): 88-94.
Zeng W F, Zhang Y J, Yan L. 2009. Basic principle and application research of genetic algorithm [J]. Software Guide (in Chinese), 8(9): 54-56.
Zhang M, Yang F X, Zhang W L, et al. 2015. The preliminary analysis of directional angle and measurement accuracy on fluxgate magnetometer probe [J]. Seismological and Geomagnetic Observation and Research (in Chinese), 36(6): 102-108.
Zhang Y T, Zhang G, Li Z N, et al. 2013. Research on correction method of three-axis magnetic field sensor based on IGA [J]. Modern Manufacturing Engineering (in Chinese), (4): 122-125.
吉根林. 2004. 遗传算法研究综述[J]. 计算机应用与软件, 21(2): 69-73.
姜波, 汪秉文. 2000. 基于遗传算法的非线性系统模型参数估计[J]. 控制理论与应用, 17(1): 150-152.
卢兆兴, 张金生, 王仕成, 等. 2014. 基于自适应遗传算法的三轴磁强计误差校正方法[J]. 传感技术学报, 27(3): 331-336, doi: 10.3969/j.issn.1004-1699.2014.03.011.
吕志鹏, 伍吉仓. 2016. 三维坐标变换算法的比较[J]. 大地测量与地球动力学, 36(1): 35-39.
王莉森, 张云昌, 边鹏飞, 等. 2013. 利用逐步回归分析红山地磁台观测数据质量[J]. 华北地震科学, 31(3): 54-56, doi: 10.3969/j.issn.1003-1375.2013.03.010.
王晓美, 滕云田, 谭婧, 等. 2017. 三轴磁通门传感器水平和定向对地磁日变化观测数据的影响[J]. 地震学报, 39(3): 429- 435, doi: 10.11939/jass. 2017.03.012.
王晓美, 滕云田, 王喜珍, 等. 2008. GM4型磁通门磁力仪性能检验方法[J]. 地震地磁观测与研究, 29(6): 88-94.
曾文飞, 张英杰, 颜玲. 2009. 遗传算法的基本原理及其应用研究[J]. 软件导刊, 8(9): 54-56.
张敏, 杨福喜, 张文来, 等. 2015. 磁通门磁力仪探头定向角度与准确度标定分析[J]. 地震地磁观测与研究, 36(6): 102-108, doi: 10.3969/j.issn.1003-3246.2015.05.017.
张英堂, 张光, 李志宁, 等. 2013. 基于改进遗传算法的三轴磁场传感器校正方法研究[J]. 现代制造工程, (4): 122-125.