气动

Design Methods and Strategies for Forward and Inverse Problems of Turbine Blades Based on Machine Learning

  • ZHOU Haimeng ,
  • YU Kaituo ,
  • LUO Qiao ,
  • LUO Lei ,
  • DU Wei ,
  • WANG Songtao
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  • School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

网络出版日期: 2023-11-30

基金资助

The authors acknowledge the financial support provided by Natural Science Fund for Excellent Young Scholars of Heilongjiang Province (No.YQ2021E023), Natural Science Foundation of China (No.52076053, No.52106041), China Postdoctoral Science Foundation funded project (2021M690823), National Science and Technology Major Project (No. 2017-III-0009-0035, No. 2019-II-0010-0030).

版权

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2022

Design Methods and Strategies for Forward and Inverse Problems of Turbine Blades Based on Machine Learning

  • ZHOU Haimeng ,
  • YU Kaituo ,
  • LUO Qiao ,
  • LUO Lei ,
  • DU Wei ,
  • WANG Songtao
Expand
  • School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

Online published: 2023-11-30

Supported by

The authors acknowledge the financial support provided by Natural Science Fund for Excellent Young Scholars of Heilongjiang Province (No.YQ2021E023), Natural Science Foundation of China (No.52076053, No.52106041), China Postdoctoral Science Foundation funded project (2021M690823), National Science and Technology Major Project (No. 2017-III-0009-0035, No. 2019-II-0010-0030).

Copyright

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2022

摘要

为了研究利用机器学习技术解决涡轮叶片正问题(对气动参数进行预测),以及反问题(对几何参数进行预测)的可行性,本文分别搭建了基于BP神经网络的正问题模型以及基于RBF神经网络的反问题模型。采用S2程序生成数据集,使用反向传播算法训练模型。输入正问题模型的参数为导叶根部、顶部与动叶根部、中部、顶部5个截面的安装角、进口几何角、出口几何角、前缘压力面楔角、前缘吸力面楔角、尾缘楔角、后弯角、前缘直径共40个参数,输出为效率、功率、流量、出口相对马赫数、出口绝对马赫数、出口相对气流角、出口绝对气流角、反动度共8个气动参数。反问题模型的输入输出与正问题模型相反。模型可对气动参数与几何参数进行精确预测,测试集平均均方误差分别为0.001与0.00035。此项研究表明,基于神经网络的机器学习技术可被灵活地运用在涡轮叶片正反问题设计的研究中,以此搭建的模型在回归预测问题上具有实际应用价值。

本文引用格式

ZHOU Haimeng , YU Kaituo , LUO Qiao , LUO Lei , DU Wei , WANG Songtao . Design Methods and Strategies for Forward and Inverse Problems of Turbine Blades Based on Machine Learning[J]. 热科学学报, 2022 , 31(1) : 82 -95 . DOI: 10.1007/s11630-022-1544-6

Abstract

To study the feasibility of using machine learning technology to solve the forward problem (prediction of aerodynamic parameters) and the inverse problem (prediction of geometric parameters) of turbine blades, this paper built a forward problem model based on backpropagation artificial neural networks (BP-ANNs) and an inverse problem model based on radial basis function artificial neural networks (RBF-ANNs). The S2 (a stream surface obtained by extending a radial curve in turbo blades) calculation program was used to generate the dataset for single-stage turbo blades, and the back propagation algorithm was used to train the model. The parameters of five blade sections in a single-stage turbine were selected as inputs of the forward problem model, including stagger angle, inlet geometric angle, outlet geometric angle, wedge angle of leading edge pressure side, wedge angle of leading edge suction side, wedge angle of trailing edge, rear bending angle, and leading edge diameter. The outputs are efficiency, power, mass flow, relative exit Mach number, absolute exit Mach number, relative exit flow angle, absolute exit flow angle and reaction degree, which are eight aerodynamic parameters. The inputs and outputs of the inverse problem model are the opposite of that of the forward problem model. The models can accurately predict the aerodynamic parameters and geometric parameters, and the mean square errors (MSEs) of the forward problem test set and the inverse problem test set are 0.001 and 0.000 35, respectively. This study shows that machine learning technology based on neural networks can be flexibly applied to the design of forward and inverse problems of turbine blades, and the models built by this method have practical application value in regression prediction problems.

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