T he current and emerging investigations on Z-source/quasi-Zsource inverters (ZSIs/qZSIs) are presented. The ZSI/qZSI fulfills buck/boost capability in single-stage topology and overcomes the limits of traditional voltage source inverters (VSIs). Hence, high reliablity, high efficiency, and low cost can be achieved. The recently derived impedance networks with improved voltage gain are discussed. The classic and newly proposed modulations and feedback controls for ZSIs/qZSIs are compared. Finally, the emerging applications and trends of ZSIs/qZSIs to photovoltaic (PV) power generation are discussed. This study offers a comprehensive and systematic reference for the future development of the high-performance ZSI/qZSI.The ZSI [1] and qZSI [2] were proposed in 2003 and 2008, respectively, to overcome the barriers of traditional two-level VSIs and current source inverters (CSIs). Traditional VSIs have to perform dead time between the upper and lower switches in one bridge leg to avoid short circuit, which introduces ac output waveform distortions. On the other hand, an extra dc-dc boost converter is usually required