This thesis presents a comprehensive workflow for modeling, validation, and optimal design of DC electromagnets intended for magnetic levitation in high-speed Hyperloop vehicles. An analytical model was first established for stationary conditions and validated against finite element method (FEM) simulations, enabling the development of an optimization environment to maximize levitation force under physical and geometrical constraints. The study was then extended to dynamic conditions, evaluating both the reduction in levitation force and the generation of drag force. Two FEM approaches, the Lorentz Term and the Moving Mesh, were compared, and the analytical model was validated against their results, confirming its reliability for rapid design iterations.