Semi-analytical Electromagnetic Model and Stiffness Characteristics of Superconducting Electrodynamic Suspension Based on the Fourier Series Method

doi:10.3901/JME.2025.14.261

Abstract

Abstract: The superconducting electrodynamic suspension(EDS) has a large levitation gap and self-stability, and is currently the only rail transit to achieve a speed of 600 km/h for manned operation. It is one of the important development directions for high-speed rail transport. A semi-analytical model based on the Fourier series method is established to calculate the spatial magnetic field of onboard racetrack magnets of the EDS train. Firstly, based on this semi-analytical model, the electromagnetic properties and stiffness performance of the bogie of the EDS system are simulated. The model is established in a 3-D coordinate. The Laplace equation is established in the outer region of the racetrack-shaped magnets, with the scalar magnetic potential as the solution variable. The boundary conditions between the regions are used to obtain the harmonic coefficients. The partial differential equation is solved to obtain the spatial magnetic field using numerical methods. Secondly, the electromagnetic forces at different operation conditions are solved by combining the dynamic circuit model and the energy method. This model is verified through the comparison of the published experiment and finite element analysis results. Finally, the electromagnetic force and stiffness characteristics of the suspension bogie are analyzed in detail at different operation velocities, lateral offset, vertical offset, and rotation angles. The fitting expressions obtained included the aforementioned factors. The semi-analytical model in this article takes account of the racetrack-shaped structure of the onboard superconducting magnets containing thickness and width. It also takes into account the pole distance between the suspension bogie. The magnetic field of the four onboard magnets on one side of the bogie can be expressed exactly. The model and analysis method in this article can be used for the electromagnetic analysis of systems such as linear motors containing racetrack-shaped coils. Most important, the fitting equation of the stiffness can be used for the analysis of the dynamics of the EDS train. It provided the reference for the mechanical structural design of the vehicle fasteners and supports.

Key words: superconducting electrodynamic suspension, fourier series method, racetrack magnet, transient electromagnetic force, stiffness characteristic

CLC Number:

U237
TM153

HUANG Huan, LI Haitao, ZHU Hanlin, CHENG Yanxing, DENG Zigang, ZHENG Jun. Semi-analytical Electromagnetic Model and Stiffness Characteristics of Superconducting Electrodynamic Suspension Based on the Fourier Series Method[J]. Journal of Mechanical Engineering, 2025, 61(14): 261-272.

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