Permanent Magnet Linear Synchronous Motor (PMLSM) characteristics are deteriorated seriously by amount of time and space harmonics, which are arisen respectively from the inverter comprised array switches, the motor teeth-slots and distributed windings. The paper presents field-circuit coupled adaptive time-stepping finite element method to comparison research on PMLSM characteristics fed by SPWM voltage inverter and sinusoid supply. The co-simulation is used with the status space functions and time-step finite element functions. The simulation results of PMLSM fed by SPWM voltage source inverter and S-VS were compared and analyzed.