Stability analysis of a wind engine model with elasticity

A mathematical model of a wind engine unit has been proposed as a system of coupled rigid bodies. Stability conditions of a stationary motion have been obtained by means of linearization. For the case of small blades deviation and large stiffness coefficients, we derive a stability condition in terms of the angular velocity and inertial parameters. Under additional constraints, we obtain a sufficient stability condition for admissible frontal pressure. It is proved that uniform rotation of the model is stable when the shaft's stiffness coefficient is large enough.