基于双磁偶极子的二阶Mgt永磁定位算法

Fenghua Xiang, Binfeng Yang, Bo Li, Zhen Zhao, Jiaojiao Guo
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引用次数: 0

摘要

为了解决复杂环境下的无线电导航和卫星导航问题,结合磁场信号抗干扰性和穿透性的优点,针对传统磁定位算法在永磁磁场中的误差不足,本文提出了基于双磁偶极子的二阶磁梯度张量永磁定位算法。首先,在Comsol软件中建立了含铷铁硼的圆柱形永磁体模型,并对其磁场分布进行了模拟。然后,从磁偶极子模型推导出了一阶度量张量矩阵、二阶梯度张量矩阵、一阶度量张量局部化和二阶梯度张量局部化原理。基于六面体测量阵列,利用数值微分知识中的三点公式测量了一阶和二阶磁梯度张量。在传统二阶梯度张量定位算法的基础上,将永磁体等效为以永磁体为中心的两个磁偶极子模型,推导了基于双磁偶极子的永磁体定位算法。最后,在Comsol软件中结合Matlab软件对圆柱形永磁体模型进行了验证。结果表明,基于双磁偶极子的二阶磁梯度算法可以有效地提高永磁体的传入定位精度,从而提高永磁体定位系统的鲁棒性。
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A Second-Order Mgt Permanent Magnet Localization Algorithm Based on A Dual Magnetic Dipole
In order to solve the problem of radio navigation and satellite navigation in complex environment, combined with the advantages of magnetic field signal anti-interference resistance and penetration, for the traditional magnetic positioning algorithm in the permanent magnet field error shortage, this paper proposes the second order magnetic gradient tensor permanent magnet positioning algorithm based on double magnetic dipole. First, a cylindrical permanent magnet model with rubidium ferroboron is established in Comsol software and the magnetic field distribution is simulated. Then, the one step metric tensor matrix, second step gradient tensor matrix, one step metric tensor localization, and second order gradient tensor localization principles are derived from the magnetic dipole model. Based on the hexaheon measurement array, the first-and second-order magnetic gradient tensors are measured using the three-point formula in numerical differential knowledge. Based on the traditional second-order gradient tensor localization algorithm, the permanent magnet is equivalent to two magnetic dipole models centered on the permanent magnet, and we derive the permanent dipole localization algorithm based on double magnetic dipoles. Finally, the new algorithm was validated using the cylindrical permanent magnet model in Comsol software combined with Matlab software. The results show that the second-order magnetic gradient algorithm based on two magnetic dipole can effectively improve the incoming localization accuracy of permanent magnet, and thus improve the robustness of permanent magnet localization system.
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