LAUSR

In order to study the stability and bifurcation of the EMS maglev transportation system, an index that can evaluate the matching degree between the EMS vehicle and track beam is proposed. The coupling system is simplified reasonably and the ordinary differential equations model of EMS basic levitation unit and track beam coupling system is established based on the interaction principle between vehicle and track beam. The bifurcation characteristics of the model equilibrium point with two key parameters of the track beam are calculated by theoretical analysis and numerical simulation. The Lyapunov coefficient of the bifurcation points is calculated to determine which Hopf bifurcation occurred. The Hopf bifurcation diagram of the coupling system with two key parameters of the track beam is drawn, respectively, and the stability of the model equilibrium point under different parameters and the size of its convergence range are determined. An index of matching degree between the parameters of EMS maglev vehicle and track beam is defined by the ratio between the size of the stability region and the static deflection of the track beam.