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The complete-order modelling of state-space representations of synchronous and induction generators for wind turbine applications is presented. Fully equivalent models with different state variables, suitable for different control schemes, are given. The state-space representations provide a convenient, compact and elegant way to assess the induction and synchronous generator-based wind turbines, with information readily available for stability, controllability and observability analyses. Simulation results of the featured representations are assessed. As an example, the control of a doubly-fed induction generator-based wind turbine is included.