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针对现有舰船磁场等效源反演建模方法存在的精度较低和适应性不强的问题, 提出了一种舰船磁场磁单极子阵列反演建模新方法, 按照舰船铁磁结构布置磁单极子阵列, 采用正则化技术进行舰船磁场的反演建模. 建立了三种典型的磁单极子阵列形式: 舰船水线平面上的长方形阵列、包围船体的长方体阵列、按照舰船铁磁结构分布的三维船体阵列. 理论分析表明, 三维船体磁单极子阵列减少了等效磁源设置的盲目性, 所得到的等效磁源与真实磁源一致性高, 能够更大程度地复现舰船磁场完整信息. 利用典型虚拟舰船的磁场进行了验证试验, 结果表明所提出的三维船体磁单极子阵列比长方形或长方体阵列具有更高的精度和适应性, 特别是能实现舰船远磁场与近磁场、舰船上方和下方磁场之间的相互精确转换. 所提出的三维船体磁单极子阵列模型具有复杂度小, 建模简单, 布置灵活的独特优势, 为舰船磁场高精度反演建模、磁场定位等的数据处理和解释提供了新的技术选择.Aiming at the problems of low accuracy and low adaptability of the existing ship magnetic field inversion modeling methods with equivalent sources, a new method of inversion modeling of magnetic monopole array of ship magnetic fields is proposed. Three-dimensional ship magnetic monopole array is arranged according to the ship ferromagnetic structure, and the inversion prediction model of ship magnetic fields is established by regularization technology. Three typical forms of magnetic monopole arrays are established: rectangular magnetic monopole array on the horizontal surface of the draft line, cuboid magnetic monopole array enclosing the ship hull, three-dimensional ship magnetic monopole array distributed according to the ship’s ferromagnetic structure. The theoretical analysis shows that the three-dimensional ship magnetic monopole array reduces the blindness of the equivalent magnetic source setting, and the obtained equivalent magnetic source is highly consistent with the real magnetic source, which can reproduce the complete magnetic field information of the ship to a greater extent. The magnetic field of a typical virtual ship is applied to the validation test. The results show that the proposed three-dimensional ship magnetic monopole array has higher precision and adaptability than the rectangular or cuboid magnetic monopole array. In particular, the proposed three-dimensional ship magnetic monopole array can realize the mutual conversion between the near and far magnetic fields, and between the magnetic fields above and below the ship. The proposed three-dimensional ship magnetic monopole array model has the unique advantages of small complexity, simple modeling and flexible layout, and it provides an alternative method for the high-precision data processing and explanation to the inversion modeling of ship magnetic fields, ship magnetic field positioning, et al.
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Keywords:
- magnetostatic field/
- equivalent source method/
- magnetic monopole/
- ship’s magnetic signature
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测量深度 阵列形式 正则化参数$\alpha$ 相对残差/% 相对误差/% +1B +2B +5B –2B –5B +1B 长方形 0.1323 4.65 4.56 8.25 28.23 95.00 101.76 长方体 0.0069 0.08 0.08 0.03 0.24 8.50 3.65 三维船体 0.0030 0.05 0.04 0.01 0.03 5.49 0.50 +2B 长方形 0.0177 2.15 13.28 2.14 10.03 91.06 85.98 长方体 0.0026 0.09 1.23 0.02 0.09 16.30 3.64 三维船体 0.0020 0.09 0.65 0.01 0.03 7.05 1.64 +5B 长方形 0.0190 3.64 34.51 19.15 3.62 80.15 78.21 长方体 0.0028 0.50 11.07 2.28 0.07 25.99 11.68 三维船体 0.0021 0.49 5.55 0.94 0.04 17.13 3.12 –2B 长方形 0.0020 1.54 190.80 114.68 92.25 1.54 6.62 长方体 0.0024 0.08 15.43 5.65 2.41 0.03 0.05 三维船体 0.0026 0.11 10.20 3.63 1.25 0.08 0.05 –5B 长方形 0.0216 4.39 90.31 86.81 86.29 29.79 4.39 长方体 0.0034 0.46 29.81 20.97 16.42 7.01 0.11 三维船体 0.0021 0.44 15.36 8.99 5.18 3.51 0.06 -
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