Even though fuzzy logic has been tremendously utilized in power systems, it has often been termed as far from complete due to the in-existence of a systematic procedure. Here, we report a systematic development and application of a fuzzy logic equipped generic energy storage system (GESS) for dynamic stability reinforcement in a conglomerate power system. While ensuring a stabilizing performance by minimizing a quadratic stability index, the reactive and real-power trajectories of GESS are determined. The proposed control strategy is optimized offline using a genetic algorithm (GA) optimization and cast with mixed integer programming mathematics to dispatch an optimal template of series weights, grades of membership and decisive fuzzy rules. The dynamic behavior of the dc link is also assimilated in the detailed GESS modeling using cascaded proportional-integral controllers. A perspective of a combination of flywheel energy storage system and superconducting magnetic energy storage is traversed by approximating the inherent loop dynamics of the storages by a GA-tuned first-order system. The role of the said storage devices in manifestation of exogenous wind power intermittency as well as concentrated short circuits is investigated. A wind farm integrated, reoriented form of an exemplar multibus network is adopted as the model system to authenticate the potency of the presented control strategy.