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ISSN 0254-0096 CN 11-2082/K

太阳能学报 ›› 2022, Vol. 43 ›› Issue (8): 409-414.DOI: 10.19912/j.0254-0096.tynxb.2021-1114

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基于Theodorsen理论的新型动态失速预测模型及其应用

李治国1,2, 高志鹰1,3, 张雅静4, 张立茹1,3, 汪建文1,3   

  1. 1.内蒙古工业大学能源与动力工程学院,呼和浩特 010051;
    2.内蒙古工业大学机械工程学院,呼和浩特 010051;
    3.内蒙古自治区风能太阳能利用机理及优化重点实验室,呼和浩特 010051;
    4.内蒙古建筑职业技术学院交通与市政工程学院,呼和浩特 010070
  • 收稿日期:2021-09-13 出版日期:2022-08-28 发布日期:2023-02-28
  • 通讯作者: 高志鹰(1976—),男,博士、教授、博士生导师,主要从事风力机结构动力学及气动声学方面的研究。hawkwarm@imut.edu.cn
  • 基金资助:
    国家自然科学基金(51866012); 内蒙古自然科学基金重大项目(2018ZD08)

NOVEL DYNAMIC STALL PREDICTION MODEL BASED ON THEODORSEN THEORY AND ITS APPLICATION

Li Zhiguo1,2, Gao Zhiying1,3, Zhang Yajing4, Zhang Liru1,3, Wang Jianwen1,3   

  1. 1. College of Energy and Power Engineering, Inner Mongolia University of Technology, Hohhot 010051, China;
    2. Mechanical Engineering College, Inner Mongolia University of Technology, Hohhot 010051, China;
    3. Key Laboratory of Wind and Solar Energy Utilization and Optimization in Inner Mongolia Autonomous Region, Hohhot 010051, China;
    4. School of Transportation and Municipal Engineering, Inner Mongolia Technical College of Construction, Hohhot 010070, China
  • Received:2021-09-13 Online:2022-08-28 Published:2023-02-28

摘要: 风力机叶片动态失速时的非定常气动特性及严重的迟滞现象使得风力机功率实测值严重偏离其静态预测值。鉴于此,基于Theodorsen理论、基尔霍夫势流理论,在忽略低阶附加质量引起的下洗气流加速度项及状态变量转换后,提出一种包括翼型附着流和后缘动态分离流的新型动态失速模型。利用该模型分析NREL 5 MW海上风力机叶片6种翼型的非定常动态失速特性得出:通过翼型的气流在完全附着流与完全分离流之间不断转换,受附着流脱落尾诱导的动态下洗气流影响及边界层动态分离产生的压力滞后的双重作用,动态升力系数变化曲线和静态升力现象曲线偏差较大,6种翼型动态升力系数变化曲线均呈非常明显的迟滞环现象。DU40、DU35、DU30、DU25、DU21和NACA64这6种翼型动态升力系数增幅明显,分别达17.6%、60.9%、60.7%、55.1%、63.7%和40.8%。动态失速攻角极大地超过静态失速攻角,分别增大到36.53°、21.40°、20.20°、17.68°、16.97°和21.42°。6种翼型动态失速预测结果与公开实验数据结论一致,证实所提出的动态失速气动模型计算结果准确可信,具有较强通用性。

关键词: Theodorsen理论, 翼型, 风力机叶片, 升力系数, 预测模型

Abstract: The unsteady aerodynamic characteristics and serious time-lag of wind turbine blades during dynamic stall made the actual measured value of rotor power seriously deviate from its static prediction value. Therefore, ignoring the acceleration term of downwash flow caused by low-order added mass and undergoing state variable transformation, a novel dynamic stall prediction model including airfoil attachment flow and dynamic separation flow of trailing edge was proposed based on Theodorsen theory and Kirchhoff potential flow theory. The model was used to analyze the unsteady dynamic stall characteristics of six airfoils from NREL 5 MW offshore wind turbine blades. The conclusions were as follows. The airflow through the airfoil continuously varied between the fully attached flow and the fully separated flow. Due to the dual effects of the dynamic downwash flow induced by the shedding trailing edge vortex of the attached flow and the pressure lag caused by the dynamic separation of the boundary layer, the variation curve of the dynamic lift coefficient and the static lift phenomenon curve deviated greatly. The dynamic lift coefficient curves of six airfoils showed a very obvious time-lag phenomenon. The dynamic lift coefficients of DU40, DU35, DU30, DU25, DU21 and NACA64 airfoils increased significantly, reaching 17.6%, 60.9%, 60.7%, 55.1%, 63.7% and 40.8% respectively. The dynamic stall angle of attack greatly exceeded the static stall angle of attack, increasing to 36.53°, 21.40°, 20.20°, 17.68°, 16.97° and 21.42° respectively. The prediction values of six airfoils were consistent with the conclusions of public experimental data, which proved that the calculation results of the proposed model were accurate, reliable and universal.

Key words: Theodorsen theory, airfoils, wind turbine blades, lift coefficient, prediction models

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