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考虑刚度不确定的大型风力机叶片颤振风险评估

FLUTTER RISK ASSESSMENT OF LARGE WIND TURBINE BLADES CONSIDERING STIFFNESS UNCERTAINTY

  • 摘要: 为量化叶片刚度认知不确定性对大型风力机气弹稳定性评估的影响, 以IEA 15MW漂浮式风力机为研究对象, 提出一种融合多学科建模与证据理论的不确定性量化与风险评估方法. 建立气动−水动−结构全耦合动力学模型, 结合Kriging代理模型与SSA算法, 构建颤振极限值域区间高效预测模型; 基于证据理论与马氏距离, 实现对挥舞、摆振与扭转刚度不确定下颤振极限信任度和似真度的定量评估, 揭示刚度不确定性对颤振极限预测结果影响的演化规律, 为大型风力机叶片可靠性与鲁棒性研究提供重要理论依据和方法参考. 结果表明: 颤振风险评估分为无条件安全运行区、动态发展区、高风险区三个典型特征区间; 临界颤振转速对扭转刚度不确定最为敏感, 综合条件下其上下限最大相对差异为43.4%; 刚度不确定性区间幅值增大, 显著降低系统稳定性下限, 而上限因刚度饱和效应变化较小; 扭转刚度区间离散宽度由0.05细化至0.025, 认知不确定性减少21.46%, 即提高区间离散程度有利于提升预测精度; 刚度不确定为 ± 10%时, 颤振极限转速上下限相对于初始值差异为 ± 6.6%.

     

    Abstract: To quantify the impact of blade stiffness uncertainty on the aeroelastic stability assessment of large-scale wind turbines, taking the IEA 15MW floating offshore wind turbine as the research object, this paper proposes an uncertainty quantification and risk assessment method based on multidisciplinary modeling and evidence theory. An aero- hydro-structural fully coupled dynamic model is established, and an efficient prediction model for the flutter limit boundary is constructed by combining the Kriging surrogate model with the SSA optimization algorithm. Based on evidence theory and Mahalanobis distance, quantitative evaluation of the belief and plausibility of the flutter limit under coupled flap-wise, edgewise, and torsional stiffness uncertainties is achieved, the evolution law of how stiffness uncertainty influences flutter limit predictions is revealed. This research provides an important theoretical basis and methodological reference for research on the reliability and robustness of large-scale wind turbine blades. The results indicate that flutter risk assessment can be divided into three characteristic intervals: an unconditional safe operation zone, a dynamic development zone, and a high-risk zone. The critical flutter speed is most sensitive to torsional stiffness uncertainty, with a maximum relative difference of 43.4% between the upper and lower limit under uncertainty coupling conditions for the cases. An increase in the stiffness uncertainty interval amplitude significantly reduces the lower limit of system stability, while the upper limit changes minimally due to stiffness saturation effects. When the discrete width of the torsional stiffness interval is refined from 0.05 to 0.025, the epistemic uncertainty is reduced by 21.46%, indicating that increasing the discretization level of the interval helps improve prediction accuracy, when the stiffness is uncertain by ± 10%, the upper and lower limits of the flutter limit speed deviate from the initial value are ± 6.6%.

     

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