The paper deals with an isolated electric power system (EPS) based on hydroelectric power plants. The analysis of the existing methods and approaches for investigation of modes of EPS which comprise hydroelectric power plants is presented. A mathematical model of a hydroelectric station cascade has been developed, which allows taking into account the hydraulic connection during calculation of electrical modes. A software tool for optimization the operating modes of hydroelectric power plants as part of the power system was developed. It uses redistribution the load between hydraulic units both inside the station and between hydroelectric complexes of cascade hydroelectric stations. The task of modeling power consumption and load graphs of EPS with specific properties, based on the application of artificial intelligence methods, is considered.
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