Efficient computational method for the dynamic responses of a floating wind turbine

ABSTRACT

This paper investigates the computational methods for calculating the dynamic responses of a floating wind turbine. The mathematical procedures for a proposed new identification method for fitting a state space model to approximate the convolution term in the motion equation of the floating wind turbine have been specified, and these mathematical procedures have been executed in a stand-alone MATLAB programme in this study. This new identification method consists of finding the vector of parameters that give the best un-weighted least squares fitting to the frequency responses, and a damped Gauss–Newton algorithm is first proposed to solve this un-weighted least squares problem. The calculation results in this paper have been systematically analysed and compared, and the accuracy and efficiency of our proposed new method have been convincingly substantiated.

KEYWORDS:

• Dynamic response
• floating wind turbine
• identification method
• state space model
• un-weighted least squares

Disclosure statement

No potential conflict of interest was reported by the author.

ORCID

Yingguang Wang http://orcid.org/0000-0003-4629-3243

Additional information

Funding

The work reported in this paper has been supported by the State Key Laboratory of Ocean Engineering; Shanghai Jiao Tong University [grant number GKZD010038].