Modelling of electrodynamic suspension (EDS) systems is reviewed for maglev vehicles utilizing discrete tracks. The double-loop null-flux coil suspension concept is analysed using detailed computational models. An idealised EDS system with infinitely thin loops is compared with models for more realistic configurations in order to assess their efficiency in terms of air gap, propulsion velocity, lift and drag forces, and sideward displacement. Power loss due to magnetic drag is evaluated. Results of the simulations are used form the basis of parametrical optimization of the suspension and guidance systems. Computational algorithms, techniques and models are proposed to support design solutions for maglev vehicles Refs 14. Figs 6. Tables 3. Keywords: magnetic levitation, electrodynamic suspension, simulation, electromagnetic field, vehicle, eddy current, lift and drug forces, superconducting coil, figure 8-shaped null-flux coil, discrete track, normalised power.