This paper concerns the semi-analytical modeling of parasitic eddy current distributions and forces in electromagnetic devices. The harmonic, Fourier-based, model is extended to incorporate a position-dependent conductivity, and restrictions on the induced current density are added to model eddy currents in non-connected conducting elements. To model time-dependent behavior of eddy currents, multiple time harmonics can be incorporated in the solutions. The developed method is verified using the finite-element method for a wide range of frequencies. The model is applied to a coreless linear motor with electrically conducting cooling plates, and the parasitic force is analyzed.</p