Abstract

Motion of a small-scale Darrieus counter-rotating vertical axis wind turbine (VAWT) in a steady wind flow is studied. The system consists of two turbines that rotate in opposite directions. The shaft of the first turbine is rigidly joined to the rotor of a generator and the shaft of the second turbine is rigidly joined to the stator. A closed few-parametric mathematical model that takes into account the changeable electrical load in the local circuit of the generator is constructed. The corresponding dynamical system is a two-frequency system. In order to describe operating modes of the model, the system is averaged over two angles under the assumption that both frequencies are bounded away from zero. It is shown that passage through resonances has no crucial effect on the system behavior in the considered range of the parameters of the model.

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