A Second-Order Mgt Permanent Magnet Localization Algorithm Based on A Dual Magnetic Dipole

Abstract

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.