“…It is noteworthy that, in the analysis of the three-phase systems in the αβ frame, a three-phase system can be modeled to two single-input single-output (SISO) single-phase systems, and then analyzed like a single-phase system, such as the three-phase systems in [10,14,24,27,28], and the relevant conclusions can be applied to singlephase and three-phase systems. In addition, there are still many studies based on single-phase systems in recent years, such as the fault control for modular multilevel converters (MMCs) in distribution network [36], unbalanced compensation of three-phase distribution systems using single-phase inverters [37,38], single-phase photovoltaic (PV) batteryenergy storage (BES) based hybrid systems [39,40], etc. Hence, a single-phase system is selected as the research object in this paper.…”