Doubly Fed Induction Generator (DFIG)-based Wind Energy Conversion Systems (WECS) have emerged as a prominent technology for harnessing wind power due to their advantages in grid integration, efficiency, and control flexibility. This paper presents a comprehensive review of the dynamics of DFIG-based WECS, focusing on the interactions between the wind turbine, the generator, the power electronics, and the grid. The dynamic behavior of DFIG-based WECS is analyzed under various operating conditions, including wind speed variations, grid disturbances, and fault conditions. Special attention is given to the control strategies employed to optimize the performance of DFIG-based WECS, such as the rotor-side and grid-side control schemes. The paper also discusses key challenges and research directions in the dynamic modeling, analysis, and control of DFIG-based WECS, highlighting the need for advanced control strategies, robust stability analysis, and grid integration techniques to enhance the reliability and performance of wind power generation systems.