This article delves into the critical role of Doubly-Fed Induction Generators (DFIGs) in modern power grids, particularly focusing on their impact on grid stability and inter-area oscillations. It explores the application of Power Oscillation Dampers (POD) on both the Rotor-Side Converter (RSC) and Grid-Side Converter (GSC) of DFIGs, providing a comprehensive comparison of their effectiveness in suppressing inter-area oscillations. The study includes detailed mathematical models of RSC and GSC, control strategies, and parameter design for POD phase compensation. Through extensive simulation analysis using a four-machine two-area system, the article evaluates the performance of POD applied to RSC and GSC under various operating conditions and grid-connected scenarios. The findings reveal that applying POD to the GSC significantly accelerates the convergence speed of system oscillations, while applying it to the RSC notably reduces the oscillation amplitude. This research offers practical insights and technical support for enhancing the stability of power systems integrated with renewable energy sources, particularly DFIGs. The conclusions highlight the importance of strategic POD application in improving grid stability and provide a foundation for future research in this area.