Abstract
A mathematical model of a large-scale wind turbine composed of a flexible two-bladed rotor and a flexible tower is described, and results of the stability analysis are presented in this paper. The model includes each component's property as well as blade aeroelasticity, and is described with minimum degrees of freedom using the Rayleigh-Ritz approach : a rotor is modeled as two degrees of freedom and a tower as three degrees of freedom. Aerodynamic forces are predicted quasi-statically with the annular momentum theory including angular momentum. Floquet theory is used to evaluate the stability of a periodic coefficient system. Applying this model to a 100 kW class wind turbine with a rigid-hub rotor, existence of stall instability, parametric instability and gyrostatic instabilitiy and their conditions of occurence are clarified, and whirl flutter, aerodynamic divergence and mechanical instability are also examined.
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