In this paper, the hysteresis current controller is modeled with PWM rectifier for stability analysis and design of dc link PI controller. The results of linear model are compared with the detailed simulation results during starting period of the rectifier. The stable operating ranges of system parameters like hysteresis band width, boost inductance, dc link capacitor and sampling frequency are verified by the detailed dedicated simulation program in Matlab/Simulink interlinked to TMS320F2812. The results has shown that the linear model correctly predicts the stability of the system and provides the feasible solution for PI controller parameters from Routh -Hurwitz criteria. The experimental records during the starting and load changing are also given.