Modeling and control of quasi Z-source inverters for parallel operation of battery energy storage systems: Application to microgrids

•More details about the studied microgrid are presented.•The effect of some parameters of the QZSI on the system performance are evaluated.•The details of the controllers of the AC side of the QZSI are described.•Synchronizing of the microgrid with the main grid is described.•Further simulation case studies are provided.