Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural Network

To meet the increasingly stringent performance indicators of gas turbines, the turbine inlet temperature has increased, and variable geometry turbine technology is widely applied. Therefore, this study developed a quasi-two-dimensional (quasi-2D) method for variable geometry turbine performance cons...

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Main Authors: Liping Deng, Hu Wu, Yuhang Liu, Qi’an Xie
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Aerospace
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Online Access:https://www.mdpi.com/2226-4310/12/5/410
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author Liping Deng
Hu Wu
Yuhang Liu
Qi’an Xie
author_facet Liping Deng
Hu Wu
Yuhang Liu
Qi’an Xie
author_sort Liping Deng
collection DOAJ
description To meet the increasingly stringent performance indicators of gas turbines, the turbine inlet temperature has increased, and variable geometry turbine technology is widely applied. Therefore, this study developed a quasi-two-dimensional (quasi-2D) method for variable geometry turbine performance considering cooling air mixing based on the elementary blade method and the cooling airflow mixing model. To address the high-dimensional, multi-variable data fitting problem of variable geometry turbines considering the effects of cooling air, this study adopted a BP neural network to further establish a surrogate model for variable geometry turbine performance. A sensitivity analysis of a single-stage turbine was conducted. The variable geometry cooling performance of a single-stage turbine and an E<sup>3</sup> five-stage low-pressure air turbine were calculated, and the corresponding surrogate models were established. The relative errors between the calculated mass flow rate and efficiency of the single-stage turbine and the experimental values were no more than 0.70% and 4.44%, respectively; for the five-stage air turbine, the maximum relative errors in mass flow rate and efficiency were no more than 1.67% and 1.385%, respectively. When the throat area of the single-stage turbine nozzle changed by ±30%, the maximum relative errors between the calculated mass flow rate and efficiency and their experimental values were 3.602% and 4.228%, respectively; thus, the determination coefficients of the constructed BP neural network model for the training samples were all greater than 0.999, indicating that the surrogate model has high prediction accuracy and strong generalization ability and can quickly predict variable geometry turbine cooling performance.
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spelling doaj-art-d51157ff8fde44a7aed7089e71955f7e2025-08-20T03:47:49ZengMDPI AGAerospace2226-43102025-05-0112541010.3390/aerospace12050410Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural NetworkLiping Deng0Hu Wu1Yuhang Liu2Qi’an Xie3School of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaTo meet the increasingly stringent performance indicators of gas turbines, the turbine inlet temperature has increased, and variable geometry turbine technology is widely applied. Therefore, this study developed a quasi-two-dimensional (quasi-2D) method for variable geometry turbine performance considering cooling air mixing based on the elementary blade method and the cooling airflow mixing model. To address the high-dimensional, multi-variable data fitting problem of variable geometry turbines considering the effects of cooling air, this study adopted a BP neural network to further establish a surrogate model for variable geometry turbine performance. A sensitivity analysis of a single-stage turbine was conducted. The variable geometry cooling performance of a single-stage turbine and an E<sup>3</sup> five-stage low-pressure air turbine were calculated, and the corresponding surrogate models were established. The relative errors between the calculated mass flow rate and efficiency of the single-stage turbine and the experimental values were no more than 0.70% and 4.44%, respectively; for the five-stage air turbine, the maximum relative errors in mass flow rate and efficiency were no more than 1.67% and 1.385%, respectively. When the throat area of the single-stage turbine nozzle changed by ±30%, the maximum relative errors between the calculated mass flow rate and efficiency and their experimental values were 3.602% and 4.228%, respectively; thus, the determination coefficients of the constructed BP neural network model for the training samples were all greater than 0.999, indicating that the surrogate model has high prediction accuracy and strong generalization ability and can quickly predict variable geometry turbine cooling performance.https://www.mdpi.com/2226-4310/12/5/410axial flow turbinequasi-2Dvariable geometryBP neural networksurrogate model
spellingShingle Liping Deng
Hu Wu
Yuhang Liu
Qi’an Xie
Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural Network
Aerospace
axial flow turbine
quasi-2D
variable geometry
BP neural network
surrogate model
title Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural Network
title_full Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural Network
title_fullStr Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural Network
title_full_unstemmed Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural Network
title_short Research on Surrogate Model of Variable Geometry Turbine Performance Based on Backpropagation Neural Network
title_sort research on surrogate model of variable geometry turbine performance based on backpropagation neural network
topic axial flow turbine
quasi-2D
variable geometry
BP neural network
surrogate model
url https://www.mdpi.com/2226-4310/12/5/410
work_keys_str_mv AT lipingdeng researchonsurrogatemodelofvariablegeometryturbineperformancebasedonbackpropagationneuralnetwork
AT huwu researchonsurrogatemodelofvariablegeometryturbineperformancebasedonbackpropagationneuralnetwork
AT yuhangliu researchonsurrogatemodelofvariablegeometryturbineperformancebasedonbackpropagationneuralnetwork
AT qianxie researchonsurrogatemodelofvariablegeometryturbineperformancebasedonbackpropagationneuralnetwork