飞蛾扑火优化与密度聚类融合的高精度多磁源定位

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中图分类号：TP181 文献标识码：Adoi：10.37188/OPE.20253323.3754

Abstract：Multi-source localization is often afected by geomagnetic noise and ambiguous source boundar ies，which significantly constrain its practical application. To achieve accurate and simultaneous localization of multiple magnetic targets，a multi-magnetic-source localization method based on Moth-Flame Opti mization （MFO） nonlinear optimization and density clustering fusion is proposed.First，magnetic anomaly detection（MAD） is performed on a two-dimensional planar grid using a high-precision magnetic sensor to determine the point of maximum MAD value for each magnetic target. To address geomagnetic interference，a two-point magnetic anomaly localization scheme is designed in the region of maximum magnetic anomaly. The obtained localization data are then used as the initial input of the MFO algorithm，and the target positions are further refined through nonlinear optimization to improve localization accuracy. Subsequently，repeated optimization of each magnetic target is conducted，generating dense point clusters at the true target locations. Simultaneous localization of multiple magnetic targets is then achieved using the density-based DBSCAN clustering algorithm，which efectively suppresses the influence of noise and optimization outliers on localization accuracy. Simulation results for nine magnetic targets indicate that，after MFObased initial localization，the average root mean square error （RMSE） is 0.1346m . Following cluster ing，the interference of noise is mitigated and the average RMSE is reduced to 0.0764m ，representing a 57.1% improvement in accuracy. In experimental tests，the average RMSE for localizing three typical magnetic targets within a 1m×1m×1m test area is less than 0.0812m ，confirming that the proposed method enables high-precision multi-magnetic-source localization.

Key words： geomagnetic detection； two-point localization；moth-flame optimization （MFO）；density clustering； multiple magnetic sources; nonlinear optimization; geomagnetic inteference ; spatial clustering algorithm

1引言

铁磁性材料在长期暴露在地磁场时，会被地磁场磁化，其周围地磁场叠加磁化磁场，从而出现磁异常，因此可被检测[1。（剩余14405字）