DOI QR코드

DOI QR Code

A Study on the Method for Dynamic Response Analysis in Frequency Domain of an Offshore Wind Turbine by Linearization of Equations of Motion for Multibody

다물체계 운동 방정식 선형화를 통한 해상 풍력 발전기 동적 거동의 주파수 영역 해석 방법에 관한 연구

  • Ku, Namkug (Department of Naval Architecture and Ocean Engineering, Dong-eui University) ;
  • Roh, Myung-Il (Department of Naval Architecture and Ocean Engineering, and Research Institute of Marine Systems Engineering, Seoul National University) ;
  • Ha, Sol (Engineering Research Institute, Seoul National University) ;
  • Shin, Hyun-Kyoung (School of Naval Architecture and Ocean Engineering, University of Ulsan)
  • 구남국 (동의대학교 조선해양공학과) ;
  • 노명일 (서울대학교 조선해양공학과 및 해양시스템공학연구소) ;
  • 하솔 (서울대학교 공학연구소) ;
  • 신현경 (울산대학교 조선해양공학부)
  • Received : 2015.01.12
  • Accepted : 2015.01.23
  • Published : 2015.03.01

Abstract

In this study, we describe a method to analysis dynamic behavior of an offshore wind turbine in the frequency domain and expected effects of the method. An offshore wind turbine, which is composed of platform, tower, nacelle, hubs, and blades, can be considered as multibody systems. In general, the dynamic analysis of multibody systems are carried out in the time domain, because the equations of motion derived based on the multibody dynamics are generally nonlinear differential equations. However, analyzing the dynamic behavior in time domain takes longer than in frequency domain. In this study, therefore, we describe how to analysis the system multibody systems in the frequency domain. For the frequency domain analysis, the non-linear differential equations are linearized using total derivative and Taylor series expansions, and then the linearized equations are solved in time domain. This method was applied to analysis of double pendulum system for the verification of its effectiveness, and the equations of motion for the offshore wind turbine was derived with assuming that the wind turbine is rigid multibody systems. Using this method, the dynamic behavior analysis of the offshore wind turbine can be expected to take less time.

Keywords

References

  1. Haug, E.J., 1992, Intermediate Dynamics, Prentice- Hall.
  2. Minaker, B. and Frise, P., 2005, Linearizing the Equations of Motion for Multibody Systems Using an Orthogonal Complement Method, Journal of Vibration and Control, 11, pp.51-66. https://doi.org/10.1177/1077546305045577
  3. Ryue, J.S., 2011, Vibration and Noise, Naval Architecture and Ocean Engineering, Ulsan University, Lecture Note.
  4. Ginsberg, J.H., 2008, Engineering Dynamics, Cambridge.
  5. Cha, J.H. and Roh, M.I., 2010, Dynamic Response Simulation of a Heavy Cargo Suspended by a Floating Crane Based on Multibody System Dynamics, Ocean Engineering, 37(14- 15), pp.1273-1291. https://doi.org/10.1016/j.oceaneng.2010.06.008
  6. Cha, J.H., Ham, S.H., Lee, K.Y. and Roh, M.I., 2010, Application of a Topological Modelling Approach of Multi-body System Dynamics to Simulation of Multi-floating Cranes in Shipyards, Journal of Multi-body Dynamics, 224(4), pp.365-373