Magnetic Force Characteristics of Permanent Maglev Vehicle Levitation System Based on Halbach Array
To address the lateral stiffness problem of permanent magnetic levitation(PML),we propose to optimize the dimensional parameters of Halbach array permanent magnets to study the effect of different parameters on the lateral stiffness problem of PML.Taking the levitated permanent magnet module of the repulsion-type straddle-seat permanent magnetic levitation train as an example,the sinusoidal method is applied to analyze the magnetic field of the Halbach array of the levitated permanent magnets,and Maxwell's euquations are used to derive the formulas of the lateral force and levitation force of the permanent magnets as a function of lateral displacement,and to determine the three dimensional parameters to be optimized,namely,the thickness of the permanent magnets,the width of the permanent magnets,and the difference in the magnetization angle of the two neighboring permanent magnets.The software COMSOL is used to establish a magnetic force model to analyze the effects of different size parameters on the lateral force and lateral stiffness generated by the PML model when lateral displacement occurs.The simulation analysis shows that:increasing the thickness of the permanent magnet will increase the maximum lateral force and lateral stiffness of the PML;the change of the width of the permanent magnet has a small effect on the lateral stiffness of the PML within a certain range,but it will increase the maximum lateral force in the process of lateral displacement;decreasing the difference in the magnetization angle of the two neighboring permanent magnets will reduce the maximum lateral force and the lateral stiffness at the same time,and with the difference in the magnetization angle between the two adjacent permanent magnets,the maximum lateral force will be reduced,and with the difference in the magnetization angle between the two neighboring permanent magnets,the lateral stiffness will be reduced;reducing the difference in the magnetization angle between two adjacent permanent magnets reduces both the maximum transverse force and the transverse stiffness,showing a 58.4%reduction in transverse stiffness when the angle is reduced from 90° to 45°.The results provide a reference for the design and selection of permanent magnets for the levitation of PML trains.
Halbach arrayparameter optimizationpermanent magnetic levitation(PML)lateral stiffnessmagnetic force characteristics