Wind energy (WE) source becomes widely used renewable energy sources for generating green, clean, and sustainable electrical energy due to their low cost and high efficiency. Integration of WE sources into the weak AC grid with unbalanced load is a significant cause of power quality deterioration. Therefore, wind side inverter is not capable of fulfilling the reactive power requirement and penetration level of the active power of the wind is very less. Thus, distribution static compensator (DSTATCOM) is a smart solution to enhance the capability of WE sources to support the voltage of weak grids during the increase of WE penetration. In this work, the fourth-order least mean fourth (LMF) based adaptive control algorithm is proposed for smooth control of real and reactive power requirement by generating switching signals for DSTATCOM to enhance the WE penetration in weak AC grid in the presence of unbalanced load. The control algorithm has been successfully implemented in the MATLAB environment.