Stability analysis of half-bridge rectifier employing LTP approach

Many control techniques applied to converters with power factor correction use cascaded control. These techniques usually ignore the periodic output voltage oscillation by using compensators with low-pass characteristic. This strategy result in voltage closed loop with poor dynamic response. In order to reduce the time-response, designers have associated notch filters into the controller to increase the bandwidth without compromising the power factor correction. However, the linear time invariant approach is no longer valid for stability analysis of such systems. In this case, a better dynamic representation can be achieved by using linear time-periodic models. This paper presents a systematic methodology for stability analysis of continuous control systems using harmonic transfer functions. In this paper, this methodology is applied to analyze the stability of the single-phase half-bridge rectifier. Simulation results are presented to validate the proposed technique.