Wind power systems provide significant benefits, including ease of installation, high efficiency, and scalability. However, one of the major challenges in these systems is the occurrence of sub-synchronous oscillations (SSOs), which can severely compromise power grid stability. This study examines recent advancements in SSO mitigation strategies for Doubly-Fed Induction Generator (DFIG)-based wind energy systems, the most widely adopted technology in modern wind turbines. Various control approaches, such as intelligent controllers, adaptive control mechanisms, and predictive algorithms, are reviewed. Simulation experiments carried out using MATLAB/Simulink software confirm the effectiveness of the proposed Direct Current Vector (DCV) control method in attenuating SSOs and improving overall system performance. In addition to identifying current challenges and research gaps, this work emphasizes the critical importance of ongoing research to develop robust SSO mitigation techniques for grid-connected wind power systems. The results demonstrate that incorporating advanced technologies and sophisticated control strategies plays a vital role in reducing sub-synchronous oscillations and enhancing the operational performance of wind energy systems.