Bifurcation analysis and parameter matching in maglev vehicle-guideway coupling systems

This paper aims to investigate the bifurcation characteristics and parameter matching properties of the maglev vehicle-guideway coupling system(VGCS). Firstly, a nonlinear dynamic model of the VGCS is established. Based on this model, the stability regions of the VGCS in the track parameter plane and the control parameter plane are calculated using codimension-1 and codimension-2 bifurcation theories. And the influence of different system parameter variations on the stability regions is further studied. Then, the impact of magnetic saturation effect on Hopf bifurcation and limit cycle(LC) bifurcation is discussed. Under the influence of magnetic saturation, the VGCS exhibits a larger stability boundary, and its critical state is prone to manifest as stable. The periodic motion near the critical state and the evolution characteristics of LCs are studied, and the influence of bifurcation parameter changes on the critical state is presented. The results indicate that the VGCS will converge to LCs of different amplitudes under different disturbances. Finally, the effectiveness of the stability region calculation method is validated on a single electromagnet levitation platform.