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In this paper several models proposed for excitation control systems, synchronous machines, prime movers control system and turbines corresponding to the hydraulic power plants of Colbun and Machicura are shown and verified. These power plants are located in the "interconnected central system" (SIC), Chile's largest grid and are part of the Colbun subsystem. This grid subsystem also bears industrial load. It supplies energy to "El Teniente" -world's largest copper mine- and to several paper manufacturing plants. The models were used to study the Colbun subsystem under island operation when the SIC blacks out due to under-frequency conditions.