Abstarct: Design of electrical machines has a certain aim. Designer seeks to meet required need such as efficiency. Among all types of electrical motors, permanent magnet synchronous motors (PMSM) are good candidate for in industry due to simple structure, low cost, compactness, high flux density, low loss and good performance of drive system. Besides, their speed can be controlled via changing frequency of rotating magnetic field called synchronous speed.In recent decades, there were lots of method devoting to optimal design of electrical machines which led to new methods and.Finite element analysis is also used as a simpler way to analyze and investigate the behavior of machines. This method has great accuracy and uses field equations for modeling physical systems. Therover extensive research has been done to understand the FSCW principle using different approaches. The combination of the possible stator and rotor grooves can be comprehensively investigated for FSCW configuration and symmetrical alignment that can provide the maximum coil coefficient .This thesis presents design optimization of three-phase permanent magnet synchronous motors to use in elevators systems. For this purpose , characteristics of a motor used in elevators applications are investigated and then equations related to design are evaluated and the motor is optimized to have the best harmonic wavefrom and torque wavefrom compared to previous research.In this paper, two different ideas are presented in terms of improving the spatial harmonics of the mmf waveforms of the airbag of the rear axle motor. The method used to improve the spatial harmonics of the mmf waveforms of the airbag, uses a second-class winding to enhance the working harmonics of the engine and eliminate the first harmonic and reduce unnecessary harmonics. On the other hand, the engine speed is increased and efficiency is increased. After optimization,By finite element analysis, aspects of the magnetic analysis of the motor are examined. Looking at JMAG software improves engine performance in a simple way. Finally, the performance of the proposed method is confirmed by the construction of the laboratory sample.