Electromagnetic Modeling of coil integrated with Propulsion, Levitation and Guidance for EDS trains

Superconducting electrodynamic suspension (EDS) trains have broad application prospects in high-speed rail transit systems. Numerous studies have been carried out on computational methods for the mathematical modeling of null-flux coils(NFC) EDS systems, and a series of effective conclusions have been obtained. However, relatively few studies have focused on the analysis and optimization of the coils integrated with propulsion, levitation and guidance(PLG). In this paper, based on the Neumann formula, an analytical expression for the transient electromagnetic force in PLG superconducting EDS system is derived. The mutual inductance between the superconducting coils and the PLG coils at different relative positions is expressed using the Neumann formula, and the instantaneous total current in the PLG coils is obtained by combining this with a dynamic circuit model; subsequently, the instantaneous electromagnetic force is derived using the virtual work displacement method. To further verify the accuracy of the theoretical calculation model, a 3-D finite element model is established, thereby validating the correctness of the proposed calculation method and laying a foundation for further analyses of EDS trains using PLG coils.