Abstract
ABSTRACTThis 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.
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