<p>The aim is to review the research studies of topologies of quazi ZSI in grid-connected solar PV systems. The primary strategy is to conduct a thorough literature study to collect and assess existing research and their advancements related to quasi-Z-source inverters. This involves examining academic papers, technical publications, and industry reports to comprehend the various topologies and their applications. The problem lies in the need to explore and optimize the topologies of quasi Z-source inverters for grid-connected solar PV systems. A complete comparison of these topologies in terms of performance, efficiency, complexity, and reliability is necessary to identify the most suitable design for grid-connected solar PV systems. This paper also analyzes the outcomes for the yearly average energy output, PV array along with system efficiency, and 3 control techniques for QZS inverter control in grid-connected solar photovoltaic systems. When analyzing the results of the review paper, it is identified that types of PV modules like p-si, CdTe, and HIT showed better efficiency when compared with the other PV module types. When compared with PI and PCI controllers, the fuzzy PCI method attained a higher level of control precision and adaptability, contributing to its optimized performance in maintaining power quality and system stability. As the demand for efficient and reliable renewable energy solutions grows, the adoption of advanced inverter topologies like the quasi-Z-source inverter will play a crucial role in advancing the capabilities and sustainability of solar photovoltaic systems.</p>