This paper deals with an improved analytical model of Synchronous Reluctance (REL) machine with eccentricity. This model considers the magnetic saturation occurring in the different iron parts of the stator and the rotor. This saturation results from the actual B-H characteristic of the iron. In addition, the slotting effect is considered in the analytical model. The unbalanced magnetic force (UMF) on the rotor is accurately estimated. Furthermore, the impact on the estimated UMF due to the slotting effect and the magnetic saturation is studied. Both static and dynamic eccentricity cases are considered. As an example, 4 pole 36 slot REL motor with three flux-barriers per rotor pole is considered. FE analysis is carried out to confirm the results achieved by means of the improved analytical model.