Abstract
Conventional rectifier systems often face complexities in both control and modeling. In contrast, the single-phase Vienna rectifier simplifies power conversion control and offers more straightforward implementation. However, due to the time-varying nature of the input signal, the steady-state operating point of the converter also varies, making the modeling process more difficult. To address this challenge, the average state-space model is further averaged over a half-line cycle, allowing for a steady-state representation of the input. This paper develops an averaged state-space model for the single-phase Vienna rectifier, derives the corresponding transfer function, and presents its Bode plot for analysis. The resulting model provides better insight into the system’s dynamic behavior. It also serves as a foundation for controller design and performance evaluation. This approach enhances the accuracy of the small-signal model and supports robust control strategies. The methodology can be extended to analyze other AC-DC converter topologies with similar characteristics.