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In this manuscript, an extended topology based switched coupled inductor quasi-z-source with nine-level inverter is proposed for three-phase grid-tie photovoltaic power system using hybrid technique. The proposed method is the combined execution of Gradient Boosting Decision Tree (GBDT) and Rat Swarm Optimizer (RSO), hence it is called GBDTRSO method. The major objective of the GBDTRSO method is “compute the performance of photovoltaic system by the maximal power extraction”. Here, the designing of the proposed inverter is optimized to supply the maximal power from photovoltaic power generating system. Besides, the higher voltage gain diminished current ripple switched coupled inductor quasi-Z-source inverter i.e extended boost switched coupled inductor quasi-Z-source inverter topology is proposed. The vital aspects of proposed topology is higher voltage gain, ripple free continual source …