Sensitivity analysis of airfoil aerodynamic characteristics based on NT-net method and Morris method

doi:10.3785/j.issn.1006-754X.2022.00.055

Chin J Eng Design

2022, Vol. 29

Issue (4): 438-445 DOI: 10.3785/j.issn.1006-754X.2022.00.055

Modeling, Simulation, Analysis and Decision

Sensitivity analysis of airfoil aerodynamic characteristics based on NT-net method and Morris method

Ze-jun WEN(

),Xiang-heng MENG(

),Zhao XIAO,Fan ZHANG

School of Mechanical and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China

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Abstract

Aiming at the problem of lower computational efficiency in the sensitivity analysis of aerodynamic characteristics of wind turbine airfoil, a sensitivity analysis method of airfoil aerodynamic characteristics based on number theoretical net (NT-net) method and Morris method was proposed. Firstly, a airfoil parameterized model with higher fitting accuracy was constructed; secondly, the calculation principle of NT-net method was described and the method was used to sample polynomial coefficients of airfoil parameterized model; then, taking wind turbine airfoil S832 as research object, global sensitivity analysis of airfoil aerodynamic characteristics was carried out by Morris method; finally, the influence of polynomial coefficients of parameterized model of wind turbine airfoil on airfoil profile and aerodynamic characteristics under specific conditions was further analyzed. The results showed that main factors affecting airfoil aerodynamic characteristics were maximum relative thickness, maximum relative camber, leading edge radius and trailing edge thickness of airfoil. When the angle of attack of the incoming flow was smaller, taking the appropriate smaller value of the maximum relative thickness and the maximum relative camber, and taking the appropriate larger value of the leading edge radius could effectively improve the aerodynamic characteristics of wind turbine airfoil under that working condition, and also verified that the calculation efficiency of NT-net method was higher. The research results provide a theoretical reference for the aerodynamic design of wind turbine airfoil.

Key words： number theoretic net (NT-net) method sensitivity analysis aerodynamic characteristics wind turbine airfoil

Received: 08 October 2021 Published: 05 September 2022

CLC:

TK 83

Corresponding Authors: Xiang-heng MENG E-mail: zjwen732@163.com;meng372021@163.com

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Cite this article:

Ze-jun WEN,Xiang-heng MENG,Zhao XIAO,Fan ZHANG. Sensitivity analysis of airfoil aerodynamic characteristics based on NT-net method and Morris method. Chin J Eng Design, 2022, 29(4): 438-445.

URL:

https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2022.00.055 OR https://www.zjujournals.com/gcsjxb/Y2022/V29/I4/438

基于数论网格法与Morris法的翼型气动特性敏感性分析

针对在风力机翼型气动特性敏感性分析中计算效率较低的问题，提出了一种基于数论网格（number theoretic net，NT-net）法与Morris法的翼型气动特性敏感性分析方法。首先，构建了拟合精度较高的翼型参数化模型；其次，阐述了NT-net法的计算原理，采用NT-net法对翼型参数化模型的多项式系数进行抽样；然后，以风力机翼型S832为研究对象，采用Morris法进行翼型气动特性的全局敏感性分析；最后，进一步分析在特定工况下风力机翼型参数化模型的多项式系数对翼型外形及气动特性的影响。结果表明：影响翼型气动特性的主要因素依次为翼型的最大相对厚度和最大相对弯度、前缘半径和后缘厚度；当来流攻角较小时，最大相对厚度和最大相对弯度取适当的较小值、前缘半径取适当的较大值可有效增强该工况下风力机翼型的气动特性，同时也验证了NT-net法的计算效率更高。研究结果为风力机翼型气动设计提供了理论参考。

关键词： 数论网格法, 敏感性分析, 气动特性, 风力机翼型

Fig.1 Schematic of geometric characteristics of airfoil

Fig.2 Sensitivity analysis flow of aerodynamic characteristics of airfoil

Fig.3 Parameterized error of airfoil model

Fig.4 Parameterized model of airfoil

Fig.5 Variation coefficient of lift-drag ratio to design variables at θ=5°

Table 1 Modeling time of MCS method and NT-net method and calculation times of global sensitivity analysis

Fig.6 Geometric profile of airfoil 1 indirectly fitted with z_1max、z_7min

Table 2 Comparison of leading edge radius and lift-drag ratio between airfoil 1 and airfoil S832

Fig.7 Geometric profile of airfoil 2 indirectly fitted with z_4max、z_9min

Table 3 Comparison of maximum relative thickness, maximum relative camber and lift-drag ratio between airfoil 2 and airfoil S832


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