General 2-D Steady-State Force and Power Equations for a Traveling Time-Varying Magnetic Source Above a Conductive Plate

Two-dimensional (2-D) force and power loss equations are derived for the case when an arbitrary magnetic source is moving and/or rotating above a conductive plate composed of linear material. The problem is formulated using both the magnetic vector and scalar potential. In order to compute the forces and power loss due to the induced eddy currents, only the magnitude of the field along the surface of the conductive plate needs to be provided. The equations are validated by comparing them with a 2-D finite-element model.