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A finite element method, coupled field-circuit, is applied to design a solid rotor induction motor in this paper. And a model coupled with field-circuits has been set up for considering the velocity effect, eddy current effect and non-linear property. A new end-region coefficient is presented to correct the effect of end region. It makes designed results of the motor more accurate. The method makes the period of design short and saves hardware from computing three-dimensional non-linear model. The comparison between tested and computed results proves that the method has higher accuracy and validity.