Among all renewable energy sources, solar energy has grown in popularity. It takes a photovoltaic (PV) system to capture solar energy. Because PV systems are simple to install and operate, researchers are now gives them more consideration. But erratic weather (meteorological conditions) and PV system operational circumstances may lower electricity production. A global maximum power point tracking (GMPPT) controller is used in order to expand the power generation capacity of the PV system. However, unstable oscillations make the traditional GMPPT method less effective. This project deals with optimized MPPT procedures used for PV system with ZETA Converter under partial showing condition. To track the GMPPT three optimization techniques used they are particle swarm optimization (PSO), Grey- Wolf Optimization (GWO)and advanced Hybridization of particle swarm Grey- Wolf Optimization (PSGWO) to track Maximum output power with more efficiency and faster convergence speed. A 5*5 panels of Photovoltaic system with Total Cross Tied (TCT) connection is design in MATLAB/Simulink software. In this TCT connection gives better output power under partial shading condition and reduces power mismatch losses as related to other PV array setups. The results of simulation demonstrates that the hybridized PSOGWO procedure boasts the best tracking speed and the maximum power generation and efficiency of all the compared optimization techniques.