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In order to reduce the carbon gas emissions, wind energy conversion systems are currently more and more connected to actual diesel power plants to provide electricity to small remote communities where the power grids are not available. As for classical power systems, the stability analysis, prediction, identification, control and diagnostic of hybrid wind-diesel small grids need accurate modelling of its main components. The state space representation is known as the more suitable system representation for simulation, identification/diagnostic and stability studies purposes. In this paper a linear state modelling of a diesel generator is proposed. The global diesel generator model obtained from the superposition principle of its components is applied for stability analysis using the eigenvalues calculation. Furthermore, the effectiveness of the model is assessed through numerical simulations of large transient tests such as load rejections and the synchronous generator automatic voltage regulation action is carried out. field transients during a Field short-circuit test with the stator in open circuit is also simulated.