The issue of subsynchronous oscillation in the electric grid has gotten worse due to the continual incorporation of novel energy devices into the power grid. The present study presents the mathematical model of a doubly-fed induction generator (DFIG) with series compensation, followed by an examination of the oscillation modes using the eigenvalue analysis method. The accuracy of the DFIG system model with series compensation is verified through time-domain simulations. In order to investigate the inhibitory impact of the synchronounfos condenser on subsynchronous oscillation, a mathematical model of the DFIG system with synchronous condenser is established. Based on the analysis results, it can be concluded that the synchronous condenser effectively reduces negative damping in the DFIG and successfully suppresses subsynchronous oscillation in the system.