System Reduction in Multibody Dynamics of Wind Turbines

Kristian Holm-Jørgensen, Søren R.K. Nielsen

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    24 Citationer (Scopus)

    Abstract

    Abstract A system reduction scheme is devised related to a multibody formulation from which the dynamic response of a wind turbine is determined. In this formulation each substructure is described in its own frame of reference, which is moving freely in the vicinity of the moving substructure. The Ritz bases spanning the reduced system comprises of rigid body modes and some dynamic low-frequency elastic eigenmodes compatible to the kinematic constraints of the related substructure. The high-frequency elastic modes are presumed to cause merely quasi-static displacements, and thus are included in the expansion via a quasi-static correction. The results show that by using the derived reduction scheme it is only necessary with 2 dynamical modes for the blade substructure when the remaining modes are treated as quasi-static. Moreover, it is shown that it has little to none effect if the gyroscopic stiffness matrix during a stopped situation or under nominal operational conditions is used to derive the functional basis of the modal expansion.
    OriginalsprogEngelsk
    TidsskriftMultibody System Dynamics
    Vol/bind21
    Udgave nummer2
    Sider (fra-til)147–165
    Antal sider19
    ISSN1384-5640
    DOI
    StatusUdgivet - 2009

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