Dynamics of a Wind Turbine with Two Moving Masses Using the Galloping Effect

Abstract

A wind power plant is considered using the galloping effect, which includes two elastically connected translationally moving bodies: one is a square prism with a permanent magnet rigidly attached to it, and the other is a material point. Electricity is generated by the movement of a magnet in a coil. The influence of the system parameters on the wind speed at which galloping oscillations occur is analyzed. It is shown that a proper choice of parameters makes it possible to significantly expand the range of wind speeds at which periodic regimes exist, in comparison with a system containing one moving body. Approximations are obtained for the amplitudes and frequencies of the limit cycles arising in the system. The evolution of these cycles with a change in the stiffness of the spring between the bodies is studied. It is established that, for certain values of the parameters, the simultaneous existence of two attracting periodic solutions is possible. Conditions are obtained under which the power generated by such a system is greater than the power generated by a system with one moving mass.