A method of simulating permanent magnets in analytical approach for the transfer-matrix-method is given. The method is suited for deriving analytical expressions of the magnetic fields and electromagnetic forces in electrical machines containing permanent magnets. The method was applied to the analysis of a long-stator linear synchronous motor with permanent magnet excitation. Measurements of the forces in the 150-pole Samarium-Cobalt type linear synchronous motor for electric propulsion were used to verify this permanent magnet modeling analysis. Comparison with experimentally obtained results shows a very good agreement.