用动态模态分解分析海上风机动力学,实现短期预测与系统建模。
Analysis, forecasting and system identification of a floating offshore wind turbine using dynamic mode decomposition
- 基于时延状态向量的汉克尔-DMD方法提取系统动态模式。
- 在实验数据上实现运动、加速度和受力的短期精准预测。
- 引入贝叶斯框架量化不确定性,适合实时数字孪生应用。
本文基于实际运行原型的实验数据,采用动态模态分解(DMD)实现六浮体漂浮式海上风电系统的数据驱动方程自由建模。通过模态分析提取系统知识,利用汉克尔-DMD进行短期预测,结合控制项的汉克尔-DMDc完成系统辨识与降阶建模。研究考察了延迟副本数和观测时长等超参数的影响,使用归一化均方根误差、归一化极差绝对误差平均值及 Jensen-Shannon 散度三个指标评估预测性能。进一步提出贝叶斯扩展,将超参数视为随机变量,实现预测不确定性量化。结果表明该方法具备良好的短期预测与系统辨识能力,适用于实时持续学习的数字孪生及数据驱动的降阶建模。
原文摘要 · Abstract (English)
This article presents the data-driven equation-free modeling of the dynamics of a hexafloat floating offshore wind turbine based on the application of dynamic mode decomposition (DMD). All the analyses are performed on experimental data collected from an operating prototype. The DMD has here used i) to extract knowledge from the dynamic system through its modal analysis, ii) for short-term forecasting from the knowledge of the immediate past of the system state, and iii) for the system identification and reduced order modeling. The forecasting method for the motions, accelerations, and forces acting on the floating system is developed using Hankel-DMD, a methodological extension that includes time-delayed copies of the states in an augmented state vector. The system identification task is performed by applying Hankel-DMD with control (Hankel-DMDc), which models the system including the effect of forcing terms. The influence of the main hyperparameters of the methods, namely the number of delayed copies in the state and input vector and the length of the observation time, is investigated with a full factorial analysis using three error metrics analyzing complementary aspects of the prediction: the normalized root mean square error, the normalized average minimum-maximum absolute error, and the Jensen-Shannon divergence. A Bayesian extension of the Hankel-DMD and Hankel-DMDc is introduced by considering the hyperparameters as stochastic variables varying in suitable ranges defined after the full factorial analysis, enriching the predictions with uncertainty quantification. Results show the capability of the approaches for short-term forecasting and system identification, suggesting their potential for real-time continuously-learning digital twinning and surrogate data-driven reduced order modeling.
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