Modeling and Dynamic Analysis of Current-Mode Energy Storage Converter

With the increasing application of energy storage technology in microgrids, the stability of energy storage converters plays a critical role in the system’s performance. This paper proposes a hybrid automaton model for the Cuk topology energy storage converter, which unifies the system’s discrete and continuous states. Nonlinear analysis methods are employed to quantitatively analyze the dynamic behavior of the system under variations of key parameters. In buck mode, a Thevenin equivalent circuit model for the battery is introduced, incorporating the battery’s polarization effect into the system description, to analyze its influence on the system’s stability boundaries and bifurcation behavior. In boost mode, a multi-scale dynamic model is established by introducing parametric and external excitation, and the oscillatory behavior under three typical excitation frequency ratios is analyzed using the fast-slow dynamic analysis method. The results show that as the excitation frequency ratio changes, the structure of the system’s slow variables is altered, leading to the evolution of bursting oscillations from symmetric periodic bursting to asymmetric or multi-segment bursting forms. This study reveals the variation in the system’s dynamic response when parameters change, providing significant insights into the operational characteristics of the converter.