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.

本文研究了用于计算浮动风力涡轮机动力响应的计算方法。提出了一种新的识别方法的数学程序，该方法适合于拟合状态空间模型以逼近浮式风力发电机的运动方程中的卷积项，并且这些数学程序已在独立的MATLAB程序中执行。 。这种新的识别方法包括找到可以使频率响应具有最佳非加权最小二乘法的参数向量，并且首先提出了阻尼高斯-牛顿算法来解决该非加权问题。最小二乘问题。对本文的计算结果进行了系统地分析和比较，令人信服地证实了我们提出的新方法的准确性和效率。