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This paper addresses implementation issues associated with a novel damping control algorithms for STATCOM and SSSC (static synchronous series compensator) in a series compensated wind park for mitigating SSR (subsynchronous resonance) and damping power system oscillations. The IEEE first benchmark model on subsynchronous resonance is adopted with integrating aggregated self-excited induction generator based wind turbine to perform the studies. The potential occurrence and mitigation of the SSR caused by induction generator effects as well as torsional interactions, in a series compensated wind park are investigated. The auxiliary subsynchronous damping control loops for the STATCOM and SSSC based on a novel design procedure of nonlinear optimization are developed to meet the damping torque in the range of critical torsional frequencies. The performances of the controllers are tested in steady state operation and in response to system contingencies, taking into account the impact of short circuit ratios (SCRs). Simulation results are presented to demonstrate the capability of the controllers for mitigating the SSR, damping the power system oscillation and enhancing the transient stability margin in response to different SCRs.