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The paper proposes a detailed model of a gas turbine for a combined heat and power (CHP) plant. The prime mover is endowed with several controls: first of all, a speed control which can be either droop type or isochronous type according to the status of connection to the distribution grid. An acceleration limiter and an exhaust gases temperature limiter intervene to cut the fuel request, respectively, in case of an excessive rotor acceleration and of a too high temperature of the exhaust gases. A further control regulates inlet guide vanes (IGV) in order to keep the exhaust temperature almost constant. This is important in a cogeneration plant where the heat recovery from the exhaust gases is used to satisfy the demand of the thermal load. Some validation simulations on a model of cogeneration plant connected to a MV distribution grid are carried out and commented.