针对风电叶片结构优化设计中传统建模方法迭代效率低、依赖人工干预的问题,该文提出一种基于节点坐标驱动的风电叶片参数化建模方法,以IEA 15 MW风电叶片为研究对象,通过离散节点控制几何外形与网格单元分布,采用双重循环算法构建叶片展向和弦向的单元拓扑关系,集成材料铺层、载荷及边界条件,实现有限元模型建立、结构化网格生成及材料指派的自动化流程。基于该参数化模型开展模态频率对比验证,并结合LaRC失效准则对复合材料进行强度校核,分析极端工况下叶片的结构响应。结果表明:所建模型前六阶模态频率与参考结果的平均相对误差低于5%,叶尖最大位移满足塔架间隙约束,且复合材料失效因子均低于临界阈值,验证了模型精度与结构安全性。该方法通过节点坐标关联设计变量,能够显著提升大型叶片优化迭代效率,为复合材料叶片的设计优化与可靠性评估提供技术支撑。
Abstract
To address the low iterative efficiency and heavy reliance on manual intervention of traditional modeling methods in the structural optimization of large-scale wind turbine blades, this paper proposes a nodal coordinate-driven parametric modeling method. Taking the IEA 15 MW wind turbine blade as the research object, discrete nodes are adopted to control the blade geometry and mesh element distribution. A double-loop algorithm is employed to establish the topological relationships of elements in the spanwise and chordwise directions. By integrating composite layups, loads, and boundary conditions, an automated workflow for finite element model generation, structured mesh generation, and material assignment is realized. The proposed model is validated through modal frequency comparison. The LaRC failure criterion is adopted for the strength assessment of composite materials, and the structural responses under extreme operating conditions are analyzed. The results indicate that the average relative error of the first six modal frequencies between the developed model and the reference data is less than 5%. The maximum blade tip deflection satisfies the tower clearance constraint, and all composite failure indices are below the critical threshold, which verifies the model accuracy and structural safety. By correlating design variables with nodal coordinates, the proposed method significantly improves the iterative optimization efficiency of large blades, providing technical support for the design optimization and reliability evaluation of large composite wind turbine blades.
关键词
风电叶片 /
复合材料 /
铺层结构 /
参数化建模 /
固有频率 /
失效机理
Key words
wind turbine blades /
composite material /
layup structure /
parametric modeling /
natural frequency /
failure mechanism
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参考文献
[1] Chiu P K, Roth-Johnson P, Wirz R E.Optimal structural design of biplane wind turbine blades[J]. Renewable Energy, 2020, 147: 2440-2452.
[2] 王永志, 张卫民, 康传明, 等. 基于CATIA二次开发的风力机叶片参数化建模[J]. 太阳能学报, 2012, 33(5): 723-726.
Wang Y Z, Zhang W M, Kang C M, et al.A parametric modeling of wind turbine blade using api in CATIA[J]. Acta Energiae Solaris Sinica, 2012, 33(5): 723-726.
[3] Chen C, Wang L, Niu M H.Research on the application of improved NSGA-Ⅱ in the structure design of wind turbine blade spar cap[J]. Frontiers in Energy Research, 2023, 11: 1160423.
[4] Nie G J, Hu H, Zhong Z, et al.A complex Fourier series solution for free vibration of arbitrary straight-sided quadrilateral laminates with variable angle tows[J]. Mechanics of Advanced Materials and Structures, 2022, 29(8): 1081-1096.
[5] Macquart T, Maes V, Langston D, et al.A new optimisation framework for investigating wind turbine blade designs[C]//Advances in Structural and Multidisciplinary Optimization. Braunschweig, Germany, 2018: 2044-2060.
[6] 王振刚, 唐雪, 蒋传鸿, 等. 大型风电叶片预埋叶根连接参数化建模及强度分析[J]. 复合材料科学与工程, 2022(10): 20-24, 37.
Wang Z G, Tang X, Jiang C H, et al.Parametric modeling and strength analysis of large-size wind turbine blades embedded root connection[J]. Composites Science and Engineering, 2022(10): 20-24, 37.
[7] Yuan S, Ning W B, Li Z G, et al.Parametric modeling and optimal design of wind turbine blade structure[J]. Mechanics of Advanced Materials and Structures, 2026, 33(1): 2453114.
[8] 金想想, 马远卓, 赵振宙, 等. 复合材料风力机叶片参数化设计及优化[J]. 复合材料科学与工程, 2024(8): 39-44, 90.
Jin X X, Ma Y Z, Zhao Z Z, et al.Parametric design and optimization of composite wind turbine blade[J]. Composites Science and Engineering, 2024(8): 39-44, 90.
[9] 许波峰, 李振, 朱紫璇, 等. 大型下风向柔性叶片参数化建模及两目标优化设计[J]. 太阳能学报, 2023, 44(3): 147-154.
Xu B F, Li Z, Zhu Z X, et al.Parametric modeling and two-objective optimal design of large-scale downwind flexible blades[J]. Acta Energiae Solaris Sinica, 2023, 44(3): 147-154.
[10] 翁柳青, 张景杭. 基于YJK-GAMA的空间网架结构参数化建模及二次利用研究[J]. 兰州文理学院学报(自然科学版), 2024, 38(5): 84-88.
Weng L Q, Zhang J H.Study on parametric modeling and secondary utilization of space grid structure based on YJK-GAMA[J]. Journal of Lanzhou University of Arts and Science (Natural Sciences Edition), 2024, 38(5): 84-88.
[11] 杨建林, 贺傅江山, 吴琨营, 等. 基于遗传算法的自由曲面单层空间结构网格参数化自动生成及方向优化[J]. 建筑结构, 2024, 54(11): 107-112, 7.
Yang J L, He F, Wu K Y, et al.Mesh parameterization automatic generation and direction optimization of free-form single-layer spatial structure based on genetic algorithm[J]. Building structure, 2024, 54(11): 107-112, 7.
[12] Piegl L A, Tiller W.The NURBS book[M]. 2nd ed. Berlin, : Springer, 2012, 81-279.
[13] Yang K H.Basic finite element method as applied to injury biomechanics[M]. Amsterdam: Academic Press, 2017.
[14] Gaertner E, Rinker J, Sethuraman L, et al.Definition of the{IEA}15-megawatt offshore reference wind turbine: NREL/TP-5000-75698[R]. Golden, CO: National Renewable Energy Laboratory, 2020.
[15] Lu M M, Ke S T, Wu H X, et al.A novel forecasting method of flutter critical wind speed for the 15 MW wind turbine blade based on aeroelastic wind tunnel test[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2022, 230: 105195.
[16] IEC 61400-1:2019 Wind energy generation systems Part-1: Design requirements[S].
[17] 高春彦, 刘泽, 史治宇. 风电机组塔架极限风载荷计算及对比研究[J]. 太阳能学报, 2019, 40(5): 1373-1380.
Gao C Y, Liu Z, Shi Z Y.Calculation and comparative study of ultimate wind loads on wind turbine tower[J]. Acta Energiae Solaris Sinica, 2019, 40(5): 1373-1380.
[18] 刘德程. 基于LaRC准则的先进复合材料失效行为研究[D]. 武汉: 武汉理工大学, 2021.
Liu D C.Failure behavior of advanced composites based on LaRC criterion[D]. Wuhan: Wuhan University of Technology, 2021.
基金
国家重点研发计划(2023YFB4202900)