Analysis of vibrations in a wind turbine excited by earthquakes

J. Enríquez-Zárate, R. Velázquez

Abstract

In this paper, the authors aimed to summarize the results of an analytical study that evaluated the vibration analysis control of an on-shore wind turbine subjected to earthquake forces. The on-shore wind turbine (model G80 - 2.0 MW, manufactured by Gamesa Company) was modeled mathematically as a simplified mechanical system. The primary purpose of this work is related to the analysis of the lateral displacement of the wind turbine and to undertake a mechanical vibration study to reduce the effects of such displacements induced by earthquake ground motions across the entire system. Simulated records corresponding to the maximum credible earthquake risk associated with the design spectra for the specific study site (Istmo de Tehuantepec in the state of Oaxaca, Mexico) were used to carry out the analysis. The mechanical system is modeled via the Euler–Lagrange formalism and the system is described as an inverted pendulum with a concentrated mass at the free end. Finally, some results are presented through numerical simulations, considering the real parameters of the on- shore wind turbine.

Keywords

mechanical vibrations, earthquakes, inverted pendulum, on-shore wind turbine, exogenous perturbation

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IMEKO TC

TC19 - Environmental Measurements

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