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The energy storage system (ESS) is the current, widely popular means of smoothing intermittent wind power (WP) generation to regulate output power uncertainty in a wind power generation system (WPGS). This study presents a novel Kalman filter (KF) application method for smoothing the power-output fluctuation of a WPGS based on a battery energy storage system (BESS). A fuzzy logic control method was added to a first-order KF with feedback control of the battery state of charge (SOC). On this basis, the smoothing power output of the hybrid wind/battery power system could be adaptively regulated based on the SOC, and consequently, the battery SOC could be effectively managed according to the charge- and WP-output levels. The effectiveness of the proposed control strategy based on the fuzzy adaptive KF was verified using MATLAB/SIMULINK software and simulation tests.