Mechanical-electric-magnetic Coupling Dynamic Response of Superconducting EDS Vehicles Running over Horizontal Horizontal curve

As a novel high-speed transportation system, electrodynamic suspension (EDS) faces limited research on its dynamic performance over horizontal curves, especially concerning safety and ride comfort. To address the inapplicability of existing highspeed rail curve design parameters, this study develops tailored curve design theory and dynamic analysis methods. A straight-line approximation method is proposed and fitting accuracy is analyzed under varying sidewall lengths. Based on lateral acceleration criteria and static theory, the minimum curve radius (6,250m) and shortest transition curve length (667m) for 500km/h are derived. A mechanical-electric-magnetic coupling simulation method is established through three key innovations:1) A refined electromagnetic force model considering coils spatial positions and attitude variation in curved sections;2) A 66-DOF three-car train model accounting for nonlinear coupling among suspension, guidance and centrifugal forces;3) A co-simulation framework for dynamic interaction analysis under variable curvature. Simulation results for 500 km/h on an 8000m radius curve with 10° cant angle show the train experiences cant deficiency, with a minimum guiding gap of 14.15mm, within safety limits. However, Sperling ride indices exceed 2.5. Further analysis reveals minimum lateral vibration at curve radius of 11,335m. Lateral vibration decreases then increases with speed, optimal at 420km/h, while vertical vibration rises monotonically. Finally, the influence of two key parameters of the curve radius and the length of the transition curve on system dynamics are analyzed. These findings offer theoretical and engineering guidance for EDS curve design and dynamic optimization.