Vertical-Lateral Coupled Dynamic Model for Integrated Propulsion, Levitation and Guidance Superconducting EDS Train

Complex vehicle-track coupling relationship with respect to time and space, leads to underlying challenge for the reliable evaluation of vehicle dynamic characteristics in superconducting electrodynamic suspension (EDS) train, especially for the track fitted with propulsion, levitation and guidance (PLG) coils. To calculate the electromagnetic interactions considering different cross-connections, an analytical method is deduced and synthetically verified via finite element simulation and experiment data in this paper. Secondly, multi-body dynamic mathematical model with 66-degree of freedom (DOF) is established to simulate a more realistic operating condition of the train, and its reliability is validated by Universal Mechanism (UM). Afterward, resorting to back-propagation (BP) neural networks algorithm, the mapping relationship is predicted among the spatial attitude of magnetic unit and electromagnetic interactions, to improve the efficiency of variable stiffness dynamic model. Finally, the electromagnetic interactions and track irregularities are input into the dynamic model as external disturbances to investigate the vehicle dynamic characteristics of diverse cross-connections for PLG coils. The results indicate that, the decrease of cross-connection cables can shorten the construction cost of track, but it comes at the expense of lateral stability for head and tail cars. Hence, it is imperative to carefully consider the trade-off between track cost and train stability during the design and layout process.