A Detailed Full-Order Discrete-Time Modeling and Stability Prediction of the Single-Phase Dual Active Bridge DC-DC Converter

The standard methodology to obtain the model of a power electronic converter is achieved by averaging state-space dynamics converter’s state variables. But average transformer current null over switching cycle in resonant dc-dc converter. Therefore, conventional method not suitable for converters, including phase-shifted bidirectional dual active bridge (PSBDAB) two-time scale discrete-type models can resolve problem associated with methodology. time-scale segregates PSBDAB into fast and slow variables, which be modeled separately eases analysis effect core-loss inductor, dead-time semiconductor devices, output filter capacitor’s equivalent series resistance, on-resistance, copper loss components are included improve its steady-state characteristics. Moreover, stability using bifurcation diagram carried out digitally controlled closed-loop system. Furthermore, critical gain stable region variations circuit parameters like load inductance, voltage demand extensively studied. modeling validated simulation experimental setup. results verify that proposed accurately predicts system parameters. Thus this study provides guide select tune controller parameter ensure operates within boundaries region.