A electromagnetic finite element model of permanent magnet synchronous linear motor was presented and distortion rate of the air gap flux density curve was analyzed in detail. By designing the sample space of the parameters, nonlinear regression modeling of the orthogonal experimental design was introduced. Put forward for possible air gap flux density waveform sine electromagnetic scheme. Parameters optimization of the permanent magnet synchronous linear motor was also introduced which was based on chaos search and adaptation function. Simulation results proved that the pole shifting did not affect the motor back electromotive symmetry based on the structural parameters, it provided a novel way for the optimum design of permanent magnet synchronous linear motor and other engineering.