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The paper presents an application of fuzzy logic power system stabilizers (FLPSS) to enhance transient stability in large electric power systems. A two-stage technology of FLPSS adaptation is considered taking into account the real conditions of a power system. Self-organizing artificial neural network (ANN) is used for clusterization of the test disturbances. A genetic algorithm (GA) is applied to tuning parameters of FLPSS. ANN is used on-line to adapt FLPSS to changes in operating conditions. The studies have been conducted using the models of a 14-bus multi-machine power system and regional Siberian power system as the study cases. The results obtained are presented.