On the averaging in the mMulti-Blade Coordinate transformations for wind turbines

An H<sub>∞</sub>-model matching approach

Conference paper (2018)

Authors

S.P. Mulders Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering
J.W. van Wingerden Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering
Research Group
Team Jan-Willem van Wingerden (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2018

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Jan-Willem van Wingerden

Abstract

The blade dynamics of a wind turbine are periodic with the angular position of the rotor. For analysis of these dynamics it is common practice to use the so-called Multi-Blade Coordinate (MBC) transformation in combination with a system matrix averaging technique to obtain a linear time-invariant model. The MBC transformation eliminates the periodicity over a rotation of the rotor, while retaining important blade dynamics. However, in the averaging step the inevitable residual periodic dynamics can result in an inaccurate linear representation. This paper shows the inaccuracy of the state-of-the-art averaging technique using a high fidelity two-bladed wind turbine model. The state-of-the-art technique is compared to two novel averaging methods. Results show a close resemblance of the computed models from the proposed methods to the frequency response average, whereas the conventional method shows erroneous results.

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