[No title available]

The increasing penetration of wind energy in modern power systems has intensified the need for advanced frequency regulation strategies capable of preserving grid stability under low-inertia conditions. In this context, inertial control of wind turbines, complemented by energy storage systems (ESS), represents a promising approach to enhance frequency response during contingency events. This paper investigates, through detailed time-domain simulations, the impact of advanced inertial control strategies on the energy storage requirements associated with frequency regulation tasks. Two control schemes are analyzed: (i) an extended optimized power point tracking (OPPTE) method and (ii) an adaptive OPPTE strategy enhanced with a fuzzy logic controller (OPPTE-FLC). Both approaches are coordinated with a battery energy storage system (BESS) equipped with state-of-charge feedback control (SOC-FB) to ensure operational sustainability. Simulation results demonstrate that the coordinated OPPTE-FLC and BESS framework significantly enhances dynamic performance during frequency disturbances. In particular, the proposed strategy increases the peak active power injection during contingencies by approximately 15% and yields a notable improvement in frequency nadir compared to the conventional OPPTE-based approach.