Based on the concept of switching function (SF) and space vector (SV), and cited the coordinate transformation matrix on space reference frame in the unified theory of an AC motor, a new mathematical model of the tri-level PWM reversible rectifier was presented in detail. The synchronous reference frame model was used to achieve the dq decoupling control of the converter. All control algorithms were implemented in dual digital-signal processors (DSP). The validity of the system model was verified by the results of computer-aided simulation and experiment.