Differential optimization measurement technique for magnetic gradient tensors in magnet positioning

IF 5.9 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2025-09-26 DOI:10.1016/j.asej.2025.103766

Jinzhe Wang , Kai Li , Wenhui Jia , Xinqiang Liu , Qin Shi , Xuanqi Wu , Jinbao Li , Jialong Wang , Guang Yang , Na Shi

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引用次数: 0

Abstract

The magnetic gradient tensor provides more information about the magnetic source in anomaly detection. However, approximation errors inevitably arise from the differential measurement method. Therefore, a differential optimization measurement method based on sensor positions fine-tuning is proposed in this study. This method introduces offset coefficients to establish a theory-measurement discrepancy model. Also, a minimum-overall-discrepancy optimization strategy is used to guide the hybrid PSO-Dogleg algorithm in parameter searching. Thus, the differential approximation closely estimates the gradient. The numerical simulation shows the proposed method is applicable across various detection regions, magnetic moments, and noise levels. Furthermore, the correlation between tensor measurement errors and positioning performance was analyzed, and positioning experiments were conducted. As a result, the root mean square error of the tensor component is reduced by 7.1 %, while the average positioning error is reduced from 0.244 m to 0.136 m, which effectively improves the positioning accuracy of the magnetic gradient tensor.

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磁体定位中磁梯度张量的差分优化测量技术

磁梯度张量在异常检测中提供了更多的磁源信息。然而，微分测量方法不可避免地会产生近似误差。因此，本文提出了一种基于传感器位置微调的差分优化测量方法。该方法引入偏置系数，建立理论-测量误差模型。同时，采用最小总体差异优化策略指导混合PSO-Dogleg算法进行参数搜索。因此，微分近似近似近似地估计了梯度。数值模拟结果表明，该方法适用于各种检测区域、磁矩和噪声水平。分析了张量测量误差与定位性能的相关性，并进行了定位实验。结果表明，张量分量的均方根误差减小了7.1%，平均定位误差从0.244 m减小到0.136 m，有效提高了磁梯度张量的定位精度。

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.