航空磁探中使用边界元法的潜艇磁场建模
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摘要
为解决航空磁异常探测中潜艇高空磁场分布难以测量的问题,根据Maxwell方程组和边界元法的基本原理,在预测空间基于格林函数,通过矢势分布求得潜艇空间磁场分布,建立潜艇磁场预测模型。使用磁偶极子仿真潜艇目标对预测模型进行初步理论验证,进一步设计实验对预测模型的有效性进行实际检验。根据理论和实验验证,结果表明,使用边界元法的潜艇磁场预测模型的平均绝对误差为0.220 5 n T,平均相对误差为2.368%。
To solve the problem that the magnetic field distribution of submarine at high altitude is difficult to measure in aeromagnetic anomaly detection,the Maxwell equation set and the boundary elements method are taken into consideration. According to the Green function and the distribution of vector potential,the spatial distribution of magnetic field of submarine is obtained in the prediction space,and the prediction model of submarine magnetic field is established. By using the magnetic dipole to simulate the submarine target,the prediction model is validated preliminarily in theory. Further more,an experiment is designed to verify the effectiveness of the prediction model. The results of the theoretical test and experimental verification show that the mean absolute error and the mean relative error of the submarine magnetic field prediction model using boundary elements method are respectively 0. 220 5 n T and 2. 368%.
To solve the problem that the magnetic field distribution of submarine at high altitude is difficult to measure in aeromagnetic anomaly detection,the Maxwell equation set and the boundary elements method are taken into consideration. According to the Green function and the distribution of vector potential,the spatial distribution of magnetic field of submarine is obtained in the prediction space,and the prediction model of submarine magnetic field is established. By using the magnetic dipole to simulate the submarine target,the prediction model is validated preliminarily in theory. Further more,an experiment is designed to verify the effectiveness of the prediction model. The results of the theoretical test and experimental verification show that the mean absolute error and the mean relative error of the submarine magnetic field prediction model using boundary elements method are respectively 0. 220 5 n T and 2. 368%.
引文
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[5]DAMES P M,SCHWAGER M,SCHWAGER D.Active magnetic anomaly detection using multiple micro aerial vehicles[J].IEEE Robotics and Automation Letters,2016,1(1):153-160.
[6]ROBERT F,SAIFUL H,MOJTABA A,et al.Magnetic signature attenuation of an unmanned aircraft system for aeromagnetic survey[J].IEEE/ASME Transactions on Mechatronics,2014,19(4):1436-1446.
[7]SHEINKER A,MOLDWIN M B.Magnetic anomaly detection(MAD)of ferromagnetic pipelines using principal component analysis(PCA)[J].Measurement Science and Technology,2016,27(4):1-7.
[8]LIU Y,ZHANG Y,YI H.The new magnetic survey method for underwater pipeline detection[J].Applied Mechanics and Materials,2013,239(2):338-343.
[9]SONG L,BILLINGS S,PASION L,et al.Transient electromagnetic scattering of a metallic object buried in underwater sediments[J].IEEE Transactions on Geoscience and Remote Sensing,2016,54(2):1091-1102.
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[11]翁行泰,曹梅芬.磁异探潜中潜艇的数学模型[J].上海交通大学学报,1995,29(3):27-32.
[12]林春生.舰船磁场信号检测与磁性目标定位[D].武汉:海军工程大学,1996.
[13]LIU Z,PANG H,PAN M.Calibration and compensation of geomagnetic vector measurement system and improvement of magnetic anomaly detection[J].IEEE Transactions on Geoscience and Remote Sensing Letters,2016,13(3):447-451.
[14]周耀忠,张国友.舰船磁场分析计算[M].北京:国防工业出版社,2004:104-200.
[15]OLIVIER C,COULOMB J,BONGIRAUD J.Recent improvements for solving inverse magnetostatic problem applied to thin shells[J].IEEE Transactions on Magnetics,2002,38(2):1005-1008.
[16]郭志馗,陈超,陶春辉,等.有限长圆柱体磁异常场全空间正演方法[J].地球物理学报,2017,60(4):1557-1570.
[17]刘胜道,刘大明,肖昌汉,等.基于遗传算法的磁性目标磁模型[J].武汉理工大学学报,2008,32(6):1017-1020.
[18]张朝阳,肖昌汉,徐杰.基于微粒群优化算法的舰船磁模型分析[J].华中科技大学学报,2010,38(11):124-128.
[19]SHEINKER A,SALOMONSKI N,GINZBURG B,et al.Aeromagnetic search using genetic algorithm[C]//Progress in Electromagnetics Research Symposium(PIERS),Hangzhou,2005:492-495.