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The design of notch and barrier was optimized in order to improve the characteristics of constant torque while minimizing the cogging torque that occurs as a result of teeth and slot structure.The barrier was installed in order to minimize the cogging torque and torque ripple by finite clement method (FEM) with a reduced barrier width toward the center of magnetic pole.The position and width of notch,which can offset cogging torque,can be calculated with energy distribution of air-gap using Fourier series.The optimized model demonstrates a 60％ decrease in the cogging torque,a 75.3％ decrease in the torque ripple and a 3％ increase in the operating torque when compared with the basic model.