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 current, typical ground amid the direct current source and inverter circuit, therefore it is optimized for photovoltaic utilizations. The objective function is deemed depending upon its controller parameters with limits like, power, voltages, current, modulation index. These parameters have been employed to the inputs of proposed method. Ensure the maximal power supply to the load using Gradient Boosting Decision Tree technique in terms of maximum power point tracking. Furthermore, the Rat Swarm Optimizer diminished the feed power and controls the direct current link current, voltage and frequency levels. The proposed technique is activated in Matrix Laboratory (MATLAB)/Simulink platform, also the efficiency is likened with different existing methods. The statistical analysis of proposed and existing methods using energy sources is also analyzed. Finally, the experimental outcomes demonstrate that the proposed method is more efficient than the other existing methods.