Hinged blade model dynamics for a horizontal axis wind turbine

2003 2003

Other formats: Order a copy

Abstract (summary)

This dissertation describes fundamental extensions to the hinge-spring model used to simulate the first mode of blade vibration in wind turbine dynamics. Complete equations of motion are developed while allowing for both bending of the blade perpendicular to its chord and overall motion of the rotor in azimuth and yaw. The model examines the relationship between the natural rotation frequency of the rotor ω and the fundamental natural bending frequency of the blades without including the bending frequency of the tower. In the case of no yaw motion, perturbation analysis and iteration lead to analytical solutions for the bending and azimuth equations of motion that involve as little simplification of these equations as possible. The natural bending frequency is “stiffened” by the rotor rotation and is expressed as a multiple of the rotor rotation, ωω. While the bending frequency is used in models using the hinged blade, the solutions found in this work contain more detail than can be found in prior investigations. These analytical solutions reveal that the harmonics with frequencies Nωω (ω + 1)ω and (ω − 1)ω are involved with the coupling between bending motion and azimuth motion with N = 1, 2, 3,…. Subsequent derivation of the power output for the condition of a relatively large amplitude of blade vibration predicts a noticeable contribution to power generation for the ωω response, which is verified in the data.

Glauret's momentum transfer theory as extended by Wilson and Lissaman [1974] and de Vries [1979] is modified to allow for blade bending, variations of wind speed with time and position, and variations in wind direction with time. No vertical wind is considered. It is concluded that: (1) the bending frequency and linear combinations with the rotor rotation frequency provide an important contribution under at least some of the expected operating conditions of the turbine, (2) the dynamic mass imbalance produced by the effects of blade bending is not important for an otherwise balanced rotor, and (3) modest non-symmetric effects to the dynamics such as basic wind shear or changing wind speed and direction enhance the Nω frequencies much more readily than the Nωω frequencies.

Indexing (details)

Mechanical engineering;
Aerospace materials
0548: Mechanical engineering
0538: Aerospace materials
Identifier / keyword
Applied sciences; Hinged blade; Horizontal axis; Lagrangian dynamics; Wind turbine
Hinged blade model dynamics for a horizontal axis wind turbine
Kendall, David Arthur
Number of pages
Publication year
Degree date
School code
DAI-B 64/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Manwell, James F.
University of Massachusetts Amherst
University location
United States -- Massachusetts
Source type
Dissertations & Theses
Document type
Dissertation/thesis number
ProQuest document ID
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
Access the complete full text

You can get the full text of this document if it is part of your institution's ProQuest subscription.

Try one of the following:

  • Connect to ProQuest through your library network and search for the document from there.
  • Request the document from your library.
  • Go to the ProQuest login page and enter a ProQuest or My Research username / password.