Parametric Instability and Localization of Vibrations in Three-Blade Wind Turbines

Author:

Ikeda Takashi1,Harata Yuji2,Ishida Yukio3

Affiliation:

1. Department of Mechanical Systems Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8527, Japan e-mail:

2. Department of Mechanical Engineering, Aichi Institute of Technology, 1247 Yachigusa, Yakusa-cho, Toyota, Aichi 470-0392, Japan e-mail:

3. Institute of International Education and Exchange, Nagoya University, Fro-cho, Chikusa-ku, Nagoya Aichi, 464-8601 Japan e-mail:

Abstract

Nonlinear vibration characteristics of three-blade wind turbines are theoretically investigated. The wind turbine is modeled as a coupled system, consisting of a flexible tower with two degrees-of-freedom (2DOF), and three blades, each with a single degree of freedom (SDOF). The blades are subjected to steady winds. The wind velocity increases proportionally with height due to vertical wind shear. The natural frequency diagram is calculated with respect to the rotational speed of the wind turbine. The corresponding linear system with parametric excitation terms is analyzed to determine the rotational speeds where unstable vibrations appear and to predict at what rotational speeds the blades may vibrate at high amplitudes in a real wind turbine. The frequency response curves are then obtained by applying the swept-sine test to the equations of motion for the nonlinear system. They exhibit softening behavior due to the nonlinear restoring moments acting on the blades. Stationary time histories and their fast Fourier transform (FFT) results are also calculated. In the numerical simulations, localization phenomena are observed, where the three blades vibrate at different amplitudes. Basins of attraction (BOAs) are also calculated to examine the influence of a disturbance on the appearance of localization phenomena.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Reference26 articles.

1. Ishihara, T., Yamaguchi, A., Takahara, K., Mekaru, T., and Matsuura, S., 2005, “An Analysis of Damaged Wind Turbines by Typhoon Maemi in 2003,” Sixth Asia-Pacific Conference on Wind Engineering (APCWE VI), Seoul, South Korea, Sept. 12–14, pp. 1413–1428.http://windeng.t.u-tokyo.ac.jp/ishihara/paper/2005-5.pdf

2. Non-Linear Dynamics of Wind Turbine Wings;Int. J. Non-Linear Mech.,2006

3. Nonlinear Parametric Instability of Wind Turbine Wings;J. Sound Vib.,2007

4. Aeroelastic Response and Stability of Wind Turbine Generators: Behavior of the Turbine Blade;JSME Int. J. Ser. 3, Vib., Control Eng., Eng. Ind.,1988

5. Non-Linear Dynamic Response of a Wind Turbine Blade;J. Sound Vib.,1979

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3