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This work deals with the computation of the magnetic fields and the iron losses in a surface mounted permanent magnet motor by considering a vector hysteresis model incorporated in transient finite element analysis. The use of a vector hysteresis model is required by the non unidirectional magnetic fields. The computational method consists of the vector Preisach model (VPM) incorporated into transient finite element analysis (FEA), which are coupled with analytical iron losses models. The rotational behavior of the magnetic fields returns the iron loss modeling and especially the hysteresis ones a difficult task, and so a such model should be able to consider this effect. In this case many models have been studied in order to develop a model fulfilling all the requirements. A special attention is paid to the VPM incorporation and identification, to the B-H relationship in different ferromagnetic regions, to the iron losses calculation, and to the rotating behavior of the magnetic induction.