Renewable energy sources such as wind energy sources have become the most prominent area of research work over the last two decades. This has been developed remarkably common due to its enormous advantages such as cleanness, sustainability, cost-effectiveness, and facilitating power industry augmentation. Improved Grey Wolf Optimization with Levy Flight is introduced for tracking maximum power from the wind generator, consisting of wind turbine and Permanent magnet synchronous generator. This Levy flight concept is applied in combination with the improved hunting process of GWO for providing an efficacy solution and high rate of convergence through global tracking. Distinct MPPT algorithms such as Perturb and Observe (P&O), Grey Wolf Optimization (GWO), and Levy Flight Grey Wolf optimization (LGWO) are presented, simulated, and analyzed using MATLAB/SIMULINK. These algorithms have been compared based on the quantative analysis to examine the stability, figure outperformance, and verify the best algorithm among the proposed algorithms. The consequences of the comparison demonstrated the supercilious characteristic of LGWO in the matter of tracking GMPP, rate of convergence, and the time to catch GMPP. Power electronic converter are utilized as an interfacing unit between WECS and grid. This power electronic converter is the main source of harmonic generation. This harmonic has been reduced to 5.6 % due to application of 23- level Cascaded H-bridge multilevel Inverter. This paper investigates to explore techniques that can extenuate the harmonics and extract maximum power from wind generators for grid integrated PMSG based three-phase grid-connected wind energy conversion system.