直线路径磁偶极子源最近点估计误差特征

Error Analysis of Nearest Point Estimation in Magnetic Dipole Model

针对铁磁性目标的最近点估计问题,分析了直线路径上以总磁感应强度最大点作为距目标最近点估计的误差特征。通过磁偶极子理论对探测过程进行建模得到磁感应强度与直线路径上位置的函数关系,对此函数进行多次求导分析,得到磁感应强度的极点分布。极点分布结果表明在直线轨迹上磁感应强度有且只有一个极大值点,且该极值点只受目标磁矩方向与直线轨迹的位置关系的影响。该估计方法的相对误差的最大值为3.08%,同时给出误差随影响因素的分布图和变化特征,并通过仿真实验验证了此结果。误差特征结果可为后续改进最近点估计方法提供基础,从而提高近炸引信毁伤能力。

Aiming at the problem of nearest point estimation for ferromagnetic targets,the error characteristics of estimating the closest point to the target with the maximum total magnetic induction on a straight path were analyzed.Firstly,the magnetic dipole theory was used to model the detection process,and the function relationship between the magnetic induction intensity and the position on the linear path was obtained.The results of pole distribution showed that there was only one maximum point of magnetic induction on the linear trajectory,and the maximum point was only affected by the relationship between the direction of the target magnetic moment and the position of the linear trajectory.Finally,the maximum relative error of the proposed method was 3.08%,and the distribution diagram and variation characteristics of the error with the influencing factors were given.The results of error characteristics could provide a basis for improving the nearest point estimation method,so as to improve the damage ability of proximity fuze.