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This paper deals with the characteristics analysis and optimum design of synchronous reluctance motor (SynRM) with anisotropy rotor using a Coupled Finite Element Method (FEM) and response surface methodology (RSM). The focus of this paper is the characteristics analysis and optimum design relative to the output power on the basis of rotor materials of a SynRM. The coupled finite elements analysis (FEA) and Preisach model have been used to evaluate nonlinear solutions. Comparisons are given with characteristics of normal synchronous reluctance motor and those of anisotropy rotor SynRM (ANISO-SynRM), respectively. The feasibility of using RSM with FEM in practical engineering problem is investigated with computational examples and comparison between the fitted response and the results obtained from an analytical solution according to the design variables of rotor in anisotropy rotor SynRM.