In recent years, globalisation and the focus on climate issues have led several governments to invest in faster, safer, and less polluting transport systems. Hyperloop Transportation Technology stands at the centre of this scenario due to its ability to reach very high speeds by exploiting electrodynamic phenomena between the track and the magnets attached to the train capsule. One of the most important factors on which the feasibility of the project depends, and on which most contemporary studies are focusing, is the stability of the system. State of art literature has shown that the unstable nature of magnetic levitation systems depends on the strong interaction between the electrodynamic and mechanical domains.