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A detailed dynamic model of wind driven doubly fed induction generator system has been developed. The various converter controls have been identified and their order in enhancing the dynamic performance has been established through Hankel singularity value indices and also residue evaluations. Damping controller structure and most effective input to the controller have been determined using the controllability and observability measures and residue principles. Simulation studies on the doubly fed generator system show that the residue-based simple lag-lead as well as PI controllers can be very effective in providing adequate damping following even severe disturbances on the system.