Power Shaping Control of Single-Phase Grid-Connected Converter Based on Brayton-Moser Model

To enhance the dynamic characteristics of single-phase grid-connected converters and analyze system stability, this paper employs the hybrid potential function theory to model the single-phase grid-connected converter and conduct stability domain analysis, obtaining quantitative criteria for large-signal disturbance stability. Drawing inspiration from the passive control damping injection concept, the power shaping controller is designed by combining the system's Mixed Potential Function (MPF) and Brayton-Moser (BM) model. Simulation results demonstrate that the proposed criterion facilitates easy assessment and analysis of system stability. When the system experiences large-signal disturbances, if the parameters satisfy the criterion, the output voltage returns to its rated value swiftly. Furthermore, the proposed power shaping control strategy outperforms the traditional PI control strategy, providing better dynamic and steady-state performances for the converter under large-signal disturbance condition.