Accurate and efficient modeling of complex offshore wind turbine support structures using augmented superelements

Traditionally, wind turbine dynamics are analyzed using computationally efficient but geometrically coarse aeroelastic models. With ever larger offshore turbines being installed in deeper waters, the wind industry is gradually moving toward more complex foundation types such as jackets and tripods. Even the simplest models of such structures have many more degrees of freedom (DoFs) than the complete wind turbine model, leading to excessive computation times. To cope with this, we can employ reduced ‘superelement’ modeling of the support structure. However, since these structures are subjected to hydrodynamic loading at a large portion of their DoFs, traditional reduction methods fail to properly describe the response to this excitation. In this paper, we therefore propose to combine superelement modeling with the concept of modal truncation augmentation, which consists in extending the reduction basis by adding ‘residual vectors’. Furthermore, we use principal component analysis to find the predominant hydrodynamic loading on the support structure.A case study is performed on a reference wind turbine model on a jacket structure, revealing both the need for coupled dynamic analysis and the shortcomings of traditional superelement models for offshore support structures. Most importantly, this case study shows that the proposed augmented superelement approach allows to create very compact yet accurate models of the complex support structure, thereby enabling efficient integrated simulation of offshore wind turbines.Copyright © 2013 John Wiley & Sons, Ltd.

[1]  G. Kerschen,et al.  The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview , 2005 .

[2]  J. van der Tempel,et al.  Design of support structures for offshore wind turbines , 2006 .

[3]  Siemens Wind,et al.  Monopile as Part of Aeroelastic Wind Turbine Simulation Code , 2005 .

[4]  Andrew J. Kurdila,et al.  『Fundamentals of Structural Dynamics』(私の一冊) , 2019, Journal of the Society of Mechanical Engineers.

[5]  B. P. Nortier Residual Vectors & Error Estimation in Substructure based Model Reduction , 2011 .

[6]  J. Jonkman,et al.  Definition of a 5-MW Reference Wind Turbine for Offshore System Development , 2009 .

[7]  G. Kerschen,et al.  PHYSICAL INTERPRETATION OF THE PROPER ORTHOGONAL MODES USING THE SINGULAR VALUE DECOMPOSITION , 2002 .

[8]  Z. Qu Model Reduction for Dynamical Systems with Local Nonlinearities , 2002 .

[9]  M. Seidel,et al.  Validation of Offshore load simulations using measurement data from the DOWNVInD project , 2009 .

[10]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[11]  Daniel Rixen,et al.  Reduction methods for MEMS nonlinear dynamic analysis , 2011 .

[12]  M. J. Wittbrodt,et al.  A critique of mode acceleration and modal truncation augmentation methods for modal response analysis , 1997 .

[13]  Walter C. Hurty,et al.  Vibrations of Structural Systems by Component Mode Synthesis , 1960 .

[14]  R. Haghi Integrated Design and Ostimization of an Offshore Wind Turbine Monosile Sussort Structure , 2011 .

[15]  Jason Jonkman,et al.  OC3—Benchmark Exercise of Aero-elastic Offshore Wind Turbine Codes , 2007 .

[16]  H. P. Lee,et al.  PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY , 2002 .

[17]  Marc Seidel Impact of different substructures on turbine loading and dynamic behaviour for the DOWNVInD Project in 45m water depth , 2006 .

[18]  Jr. Roy Craig,et al.  Coupling of substructures for dynamic analyses - An overview , 2000 .

[19]  P. L. C. van der Valk Model Reduction & Interface Modeling in Dynamic Substructuring: Application to a Multi-megawatt Wind Turbine , 2010 .

[20]  D. Rixen,et al.  General Framework for Dynamic Substructuring: History, Review and Classification of Techniques , 2008 .

[21]  Roy R. Craig,et al.  A review of substructure coupling methods for dynamic analysis , 1976 .

[22]  Daniel Rixen A Lanczos Procedure for Efficient Mode Superposition in Dynamic Analysis , 2002 .

[23]  Tue Hald,et al.  IMPLEMENTATION OF A FINITE ELEMENT FOUNDATION MODULE IN FLEX5 USING CRAIG-BAMPTON SUBSTRUCTURING , 2005 .

[24]  D. Tran,et al.  Component mode synthesis methods using interface modes. Application to structures with cyclic symmetry , 2001 .

[25]  Mats G. Larson,et al.  A posteriori error analysis of component mode synthesis for the elliptic eigenvalue problem , 2011 .

[26]  Alberto Cardona,et al.  A reduction method for nonlinear structural dynamic analysis , 1985 .

[27]  R. Guyan Reduction of stiffness and mass matrices , 1965 .

[28]  Daniel Rixen,et al.  Generalized mode acceleration methods and modal truncation augmentation , 2001 .