Wind has been one of the fastest growing renewable energy technologies with large utility scale installations both onshore and offshore. Battery energy storage systems (BESSs) are considered for co-location with large wind farms to make them dispatchable. As many of the best quality wind resources are remote, compensating AC lines is a cost-effective solution for long distance power transmission. However, Type-3 (doubly fed induction generator) wind turbines are known to interact with fixed series compensation in the form of Subsynchronous Control Interactions (SSCI) exposing the converters to dangerously high voltages and currents often leading to plant disconnection. With the ever-increasing sizes of wind farms, this disconnection can materially impact system security. This paper demonstrates how an existing BESS installation at a wind farm can be exploited to provide SSCI damping. Studies are performed in MATLAB/Simulink with average models for the converters (using vector control) and a GE wind turbine model.