In this paper, a 3D analytical model of permanent magnet (PM) and electromagnetic hybrid Halbach array electrodynamic suspension (EDS) system for a conductive plate is presented. When the hybrid Halbach array moves to cut the conductive plate, the 3D eddy current forces are derived using the second-order vector potential (SOVP) based on y-component of the source magnetic fux density, which is derived using the Biot–Savart law and surface current method. The accuracy of the derived equations is verifed by a 3D fnite-element analysis (FEA) model. Furthermore, the efects of the main characteristic parameters on the levitation force are analysed.