燃气轮机涡轮排气扩压器气动性能的不确定性量化和敏感性分析

王嘉骏; 范志泽楷; 闫晨曦; 姚家旭; 苏鹏飞; 孔祥林; 方宇; 李军

doi:10.7652/xjtuxb202509016

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燃气轮机涡轮排气扩压器气动性能的不确定性量化和敏感性分析

—————————————————————— | 更新时间：2025-09-11

- 燃气轮机涡轮排气扩压器气动性能的不确定性量化和敏感性分析
- Uncertainty Quantification and Sensitivity Analysis on Aerodynamic Performance of Gas Turbine Exhaust Diffuser
- 西安交通大学学报 2025年59卷第9期页码：165-176
- 作者机构：
  
  1.西安交通大学叶轮机械研究所， 710049，西安
  2.东方电气集团东方汽轮机有限公司， 618000，四川德阳
  3.清洁高效透平动力装备全国重点实验室， 618000，四川德阳
- 作者简介：
  
  王嘉骏（2002—），男，硕士生
  李军，男，教授，博士生导师。
- 基金信息：
  
  国家自然科学基金资助项目(52376029);国家科技重大专项资助项目(2017-V-0008-0058)
- DOI：10.7652/xjtuxb202509016
  中图分类号： TK474.7
- 收稿：2025-03-21，
  
  网络首发：2025-04-18，
  
  纸质出版：2025-09-10
- 稿件说明：
移动端阅览
王嘉骏, 范志泽楷, 闫晨曦, 等. 燃气轮机涡轮排气扩压器气动性能的不确定性量化和敏感性分析[J]. 西安交通大学学报, 2025,59(9):165-176.

WANG Jiajun, FAN Zhizekai, YAN Chenxi, et al. Uncertainty Quantification and Sensitivity Analysis on Aerodynamic Performance of Gas Turbine Exhaust Diffuser[J]. Journal of Xi’an Jiaotong University, 2025, 59(9): 165-176.
王嘉骏, 范志泽楷, 闫晨曦, 等. 燃气轮机涡轮排气扩压器气动性能的不确定性量化和敏感性分析[J]. 西安交通大学学报, 2025,59(9):165-176. DOI： 10.7652/xjtuxb202509016.

WANG Jiajun, FAN Zhizekai, YAN Chenxi, et al. Uncertainty Quantification and Sensitivity Analysis on Aerodynamic Performance of Gas Turbine Exhaust Diffuser[J]. Journal of Xi’an Jiaotong University, 2025, 59(9): 165-176. DOI： 10.7652/xjtuxb202509016.

摘要

燃气轮机涡轮排气扩压器的几何参数偏差与运行工况波动会导致气动性能呈现显著不确定性，从而影响机组性能，结合拉丁超立方采样、非嵌入式多项式混沌展开和Sobol' indices敏感性分析方法建立了扩压器气动性能不确定性量化与敏感性分析系统，研究并量化了扩张角、进口旋流角与进口速度对静压恢复系数、总压损失系数及动压转换系数的影响。仿真结果表明：考虑进口速度、进口旋流角和扩张角的不确定性时，气动性能参数的统计分布均呈现正态分布。支撑板附近区域对参数扰动最敏感，以设计值为基准，静压恢复系数不确定性最大相对偏差达50.1%。静压恢复系数均值较设计值增加2.654%，偏离设计值10%的概率为11.04%；总压损失系数均值仅增加0.111%，但偏离概率高达25.22%；动压转换系数均值增加2.023%，偏离概率为0.63%。敏感性分析结果表明：进口旋流角是静压恢复系数和总压损失系数不确定性的主导变量，其贡献为72.84%和98.34%；扩张角是动压转换系数不确定性的主导变量，方差占比为65.43%；与主效应相比，进口速度与二阶交互效应影响可忽略。

Abstract

Deviations in the geometric parameters and operational fluctuations of gas turbine exhaust diffusers can lead to significant uncertainties in aerodynamic performance

thereby affecting the overall performance of the unit. This paper establishes a system for quantifying uncertainty and analyzing sensitivity in the aerodynamic performance of diffusers

utilizing Latin hypercube sampling

non-intrusive polynomial chaos expansion

and Sobol' indices sensitivity analysis method. The study quantifies the effects of divergence angle

inlet swirl angle

and inlet velocity on the static pressure recovery coefficient

total pressure loss coefficient

and dynamic pressure conversion coefficient. The results indicate that when considering uncertainties in inlet velocity

inlet swirl angle

and divergence angle

the statistical distribution of aerodynamic performance parameters follows a normal distribution. The flow field near the strut is most sensitive to parameter perturbations

with the maximum deviation in the static pressure recovery coefficient reaching 50.1%. The mean value of the static pressure recovery coefficient increases by 2.654% compared to the design value

and the probability of deviating by 10% from the design value is 11.04%. The mean value of the total pressure loss coefficient increases by only 0.111%

but the probability of deviation is as high as 25.22%. The mean value of the dynamic pressure conversion coefficient increases by 2.023%

with a probability of deviation of 0.63%. Sobol' indices sensitivity analysis results show that the inlet swirl angle is the dominant variable for uncertainties in the static pressure recovery coefficient and total pressure loss coefficient

contributing 72.84% and 98.34%

respectively. The divergence angle is the dominant variable for uncertainties in the dynamic pressure conversion coefficient

accounting for 65.43% of the variance. Compared to the main effect

the contributions of inlet velocity and second-order interaction effects are negligible.

关键词

Keywords

references

FAROKHI S . A trade-off study of rotor tip clearance flow in a turbine/exhaust diffuser system [C ] // ASME 1987 International Gas Turbine Conference and Exhibition . New York, USA : ASME , 1987 : V001T01A084 .

HUMMEL S , BAUER M , VOGT D . Study of gas turbine exhaust diffuser flow and performance characteristics at off-design conditions [C ] // 14th European Conference on Turbomachinery Fluid dynamics & Thermodynamics . [S.l.] : European Turbomachinery Society , 2021 : ETC2021-590 .

MIHAILOWITSCH M , SCHATZ M , VOGT D M . Numerical investigations of an axial exhaust diffuser coupling the last stage of a generic gas turbine [J ] . Journal of Engineering for Gas Turbines and Power , 2019 , 141 ( 3 ): 031025 .

吴飞 , 戴斌 , 艾松 , 等 . 透平末级动叶顶部间隙变化对排气扩压器　气动性能的影响 [J ] . 东方汽轮机 , 2017 ( 4 ): 24 - 29 .

WU Fei , DAI Bin , AI Song , et al . Influence of last stage rotor tip clearance' variation on aerodynamic performance of exhaust diffuser [J ] . Dangfang Turbine , 2017 ( 4 ): 24 - 29 .

徐自荣 , 袁浩 , 初鹏 , 等 . 入口旋流角对排气扩压段气动性能影响的数值研究 [J ] . 燃气轮机技术 , 2018 , 31 ( 1 ): 30 - 34 .

XU Zirong , YUAN Hao , CHU Peng , et al . Numerical investigation of the impact of inlet swirl on the performance of gas turbines exhaust diffusers [J ] . Gas Turbine Technology , 2018 , 31 ( 1 ): 30 - 34 .

OPILAT V , SEUME J R . The effect of the operating conditions of the last turbine stage on the performance of an axial exhaust diffuser [C ] // ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition . New York, USA : ASME , 2011 : 695 - 704 .

SIOREK M P , GUILLOT S , XUE Song , et al . A sensitivity study of gas turbine exhaust diffuser-collector performance at various inlet swirl angles and strut stagger angles [J ] . Journal of Engineering for Gas Turbines and Power , 2018 , 140 ( 7 ): 072602 .

董雨轩 , 李志刚 , 李军 . 支撑板结构对燃气轮机排气扩压器气动性能影响的数值研究 [J ] . 推进技术 , 2022 , 43 ( 9 ): 85 - 95 .

DONG Yuxuan , LI Zhigang , LI Jun . Numerical study on effects of strut structure on aerodynamic performance of gas turbine exhaust diffuser [J ] . Journal of Propulsion Technology , 2022 , 43 ( 9 ): 85 - 95 .

宋英杰 , 聂俊 , 郭振东 , 等 . 高温叶片换热性能不确定性量化 [J ] . 工程热物理学报 , 2015 , 36 ( 8 ): 1666 - 1671 .

SONG Yingjie , NIE Jun , GUO Zhendong , et al . Uncertainty quantification of heat transfer performance of high temperature blade [J ] . Journal of Engineering Thermophysics , 2015 , 36 ( 8 ): 1666 - 1671 .

DE MAESSCHALCK C , LACOR C , PANIAGUA G , et al . Performance robustness of turbine squealer tip designs due to manufacturing and engine operation [J ] . Journal of Propulsion and Power , 2017 , 33 ( 3 ): 740 - 749 .

陶志 , 郭振东 , 李琛玺 , 等 . 基于Kriging的不确定性量化及鲁棒性优化的研究 [J ] . 工程热物理学报 , 2019 , 40 ( 3 ): 537 - 542 .

TAO Zhi , GUO Zhendong , LI Chenxi , et al . Research on Kriging-based uncertainty quantification and robust design optimization [J ] . Journal of Engineering Thermophysics , 2019 , 40 ( 3 ): 537 - 542 .

夏志恒 , 罗佳奇 . 涡轮叶片来流角扰动不确定性量化分析 [J ] . 航空动力学报 , 2020 , 35 ( 3 ): 519 - 531 .

XIA Zhiheng , LUO Jiaqi . Uncertainty quantification of inlet incidence angle variation for turbine blade [J ] . Journal of Aerospace Power , 2020 , 35 ( 3 ): 519 - 531 .

王小京 , 邹正平 . 整级环境下涡轮叶片型面加工几何偏差影响的不确定性分析 [J ] . 推进技术 , 2022 , 43 ( 3 ): 104 - 111 .

WANG Xiaojing , ZOU Zhengping . Uncertainty analysis of impact of profile geometric manufacture variations on turbine blade performance in stage environment [J ] . Journal of Propulsion Technology , 2022 , 43 ( 3 ): 104 - 111 .

黄明 , 李军 , 李志刚 , 等 . 动叶凹槽状叶顶气膜冷却有效度和气动性能不确定性量化研究 [J ] . 西安交通大学学报 , 2021 , 55 ( 5 ): 181 - 192 .

HUANG Ming , LI Jun , LI Zhigang , et al . Investigations on uncertainty quantification of film cooling effectiveness and aerodynamic performance of turbine blade squealer tip [J ] . Journal of Xi'an Jiaotong University , 2021 , 55 ( 5 ): 181 - 192 .

MARIA MAZZONI C , AHLFELD R , ROSIC B , et al . Uncertainty quantification of leakages in a multistage simulation and comparison with experiments [J ] . Journal of Fluids Engineering , 2018 , 140 ( 2 ): 021110 .

董雨轩 . 燃气轮机排气扩压器气动性能和结构优化设计的实验及数值研究 [D ] . 西安 : 西安交通大学 , 2024 .

尹增谦 , 管景峰 , 张晓宏 , 等 . 蒙特卡罗方法及应用 [J ] . 物理与工程 , 2002 , 12 ( 3 ): 45 - 49 .

YIN Zengqian , GUAN Jingfeng , ZHANG Xiaohong , et al . The Monte Carlo method and its application [J ] . Physics and Engineering , 2002 , 12 ( 3 ): 45 - 49 .

MONTOMOLI F , CARNEVALE M , D'AMMARO A , et al . Uncertainty quantification in computational fluid dynamics and aircraft engines [M ] . Berlin, Germany : Springer , 2015 .

PANIZZA A , BONINI A , INNOCENTI L . Uncertainty quantification of hot gas ingestion for a gas turbine nozzle using polynomial chaos [C ] // ASME Turbo Expo 2015: Turbine Technical Conference and Exposition . New York, USA : ASME , 2015 : V02CT45A009 .

XIU Dongbin , KARNIADAKIS G E . The Wiener-Askey polynomial chaos for stochastic differential equations [J ] . SIAM Journal on Scientific Computing , 2002 , 24 ( 2 ): 619 - 644 .

XIU Dongbin , KARNIADAKIS G E . Modeling uncertainty in flow simulations via generalized polynomial chaos [J ] . Journal of Computational Physics , 2003 , 187 ( 1 ): 137 - 167 .

WIENER N . The homogeneous chaos [J ] . American Journal of Mathematics , 1938 , 60 ( 4 ): 897 - 936 .

XIU Dongbin , HESTHAVEN J S . High-order collocation methods for differential equations with random inputs [J ] . SIAM Journal on Scientific Computing , 2005 , 27 ( 3 ): 1118 - 1139 .

ONORATO G , LOEVENG J A , GHORBANIASL G , et al . Comparison of intrusive and non-intrusive polynomial chaos methods for CFD applications in aeronautics [C ] // Proceedings of the 5th European Conference on computational Fluid Dynamics . Barcelona : ECCOMAS , 2010 : 1 - 16 .

LAW A M , KELTON W D . Simulation modeling and analysis [M ] . New York, USA : McGraw Hill , 2007 .

董雨轩 , 李志刚 , 李军 . 预旋对燃气涡轮排气蜗壳气动性能影响的数值研究 [J ] . 西安交通大学学报 , 2020 , 54 ( 1 ): 116 - 124 .

DONG Yuxuan , LI Zhigang , LI Jun . Effect of preswirl on the aerodynamic performance of the gas turbine exhaust volutes [J ] . Journal of Xi'an Jiaotong University , 2020 , 54 ( 1 ): 116 - 124 .

王广 . 汽轮机轴向排汽缸扩压器内流动的数值分析与模态分析 [D ] . 上海 : 上海交通大学 , 2018 .

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