
浏览全部资源
扫码关注微信
西安交通大学 能源与动力工程学院 西安 710049
赵杰,男,1998年出生,2023于西安交通大学获硕士学位,现为博士研究生,研究领域为反应堆压力容器内的流动与传热特性
戴艳俊,E-mail:daiyanjun2015@xjtu.edu.cn
收稿:2024-12-29,
修回:2025-02-22,
纸质出版:2026-01-15
移动端阅览
赵杰,戴艳俊,王云刚等.基于降阶模型的反应堆压力容器保温结构传热性能逆优化设计[J].核技术,2026,49(01):010608.
ZHAO Jie,DAI Yanjun,WANG Yungang,et al.Inverse optimization design of heat transfer performance for the reactor pressure vessel insulation structure based on reduced-order model[J].NUCLEAR TECHNIQUES,2026,49(01):010608.
赵杰,戴艳俊,王云刚等.基于降阶模型的反应堆压力容器保温结构传热性能逆优化设计[J].核技术,2026,49(01):010608. DOI: 10.3724/j.0253-3219.2026.hjs.49.240552. CSTR: 32193.14.hjs.CN31-1342/TL.2026.49.240552.
ZHAO Jie,DAI Yanjun,WANG Yungang,et al.Inverse optimization design of heat transfer performance for the reactor pressure vessel insulation structure based on reduced-order model[J].NUCLEAR TECHNIQUES,2026,49(01):010608. DOI: 10.3724/j.0253-3219.2026.hjs.49.240552. CSTR: 32193.14.hjs.CN31-1342/TL.2026.49.240552.
为了改善反应堆压力容器(Reactor Pressure Vessel,RPV)保温结构在正常运行条件下的热泄漏现象,合理的参数设计对其安全运行至关重要。然而,传统的试错法设计低效,且难以从众多的变量中识别出最佳的参数组合。本文提出了一种基于本征正交分解(Proper Orthogonal Decomposition,POD)的逆设计方法,旨在提高RPV保温结构传热性能。首先,将保温层外壁平均热流(
<math id="M1"><msub><mrow><mi>q</mi></mrow><mrow><mi mathvariant="normal">a</mi><mi mathvariant="normal">v</mi><mi mathvariant="normal">e</mi></mrow></msub></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524442&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524454&type=
4.14866638
3.89466691
)、平均温度(
<math id="M2"><msub><mrow><mi>T</mi></mrow><mrow><mi mathvariant="normal">a</mi><mi mathvariant="normal">v</mi><mi mathvariant="normal">e</mi></mrow></msub></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524469&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524468&type=
4.40266657
3.21733332
)以及混凝土局部最高温度(
<math id="M3"><msub><mrow><mi>T</mi></mrow><mrow><mi mathvariant="normal">m</mi><mi mathvariant="normal">a</mi><mi mathvariant="normal">x</mi></mrow></msub></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524471&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524470&type=
4.99533367
3.21733332
)作为优化目标,利用计算流体动力学(Computational Fluid Dynamics,CFD)方法生成24组工况作为POD快照。其次,利用验证后的POD方法重构了275组工况以反映设计变量与优化目标间的映射关系。最后,定义了一个百分制无量纲参数(
<math id="M4"><msub><mrow><mi>F</mi></mrow><mrow><mi mathvariant="normal">P</mi><mi mathvariant="normal">O</mi><mi mathvariant="normal">D</mi></mrow></msub></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524486&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524460&type=
5.67266655
3.21733332
)来评价其综合传热性能。研究结果表明:POD重构结果有效地保留了原始物理场信息,其预测的平均决定系数(
<math id="M5"><msup><mrow><mi>R</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msup></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524474&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524487&type=
2.96333337
2.53999996
)超过0.95,平均相对偏差(Mean Relative Deviation,MRD)低于2.87%。同时,相比于CFD方法能够节省约99%的CPU时间。结果表明:综合分数
<math id="M6"><msub><mrow><mi>F</mi></mrow><mrow><mi mathvariant="normal">P</mi><mi mathvariant="normal">O</mi><mi mathvariant="normal">D</mi></mrow></msub></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524464&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=98524463&type=
5.67266655
3.21733332
为97.4的变量组合(2 mm-16 ℃-309.5 ℃)性能最佳,与RPV保温结构原型设计相比综合传热性能提高了59.2%。
Background
2
Thermal leakage in reactor pressure vessel (RPV) insulation structure poses safety risks
and traditional trial-and-error parameter optimization methods are inefficient for handling complex variables.
Purpose
2
This study aims to develop a proper orthogonal decomposition (POD)-based inverse design methodology to enhance the thermal performance of RPV insulation structure.
Methods
2
Firstly
three design variables (air supply temperature
RPV outer wall temperature
and installation gap) and their corresponding level numbers were systematically determined
and three optimization objectives were defined as average heat flux (
q
ave
)
average temperature (
T
ave
) on the RPV insulation's outer wall
and maximum local temperature (
T
max
) of the concrete. Then
a comprehensive dataset comprising 24 computational fluid dynamics (CFD) simulations was generated through full factorial design method
with these computational results employed as POD snapshots. Finally
the validated POD method was employed to reconstruct 275 working condition cases
and a dimensionless comprehensive score (FPOD) on a percentage scale was established to evaluate the overall heat transfer performance based on the three optimization objectives.
Results
2
Calculation results show the POD reconstruction achieved high fidelity is achieved by the POD reconstruction
with an average determination coefficient (
R
2
) exceeding 0.95 and mean relative deviation (MRD) below 2.87%
while reducing CPU time is reduced by 99% compared to CFD. The optimal variable combination (2 mm-16 ℃-309.5 ℃) yieldeds a comprehensive score (
F
POD
) of 97.4
improving overall heat transfer performance by 59.2% over the original design.
Conclusions
2
Results of this study demonstrate that the POD-based inverse design methodology provides an efficient and accurate approach for RPV insulation structure optimization. The optimal parameter combination achieves significant improvements in thermal performance
with
q
ave
reduced to 84.89 W·m
-2
T
ave
to 35.21 ℃
and
T
max
to 72.86 ℃
which significantly enhances the safety and operational efficiency of RPV insulation structure.
翟润泽 , 张斌 , 杨皓 , 等 . 压力容器下封头大变形模型的开发及在FOREVER实验中的应用分析 [J ] . 核技术 , 2023 , 46 ( 11 ): 110606 . DOI: 10.11889/j.0253-3219.2023.hjs.46.110606 http://dx.doi.org/10.11889/j.0253-3219.2023.hjs.46.110606 .
ZHAI Runze , ZHANG Bin , YANG Hao , et al . Development of a large-deformation model for the pressure-vessel lower head and analysis of its application in the FOREVER experiment [J ] . Nuclear Techniques , 2023 , 46 ( 11 ): 110606 . DOI: 10.11889/j.0253-3219.2023.hjs.46.110606 http://dx.doi.org/10.11889/j.0253-3219.2023.hjs.46.110606 .
朱光昱 , 郭超 , 刘巧凤 , 等 . VVER堆芯捕集器换热特性数值模拟研究 [J ] . 核技术 , 2023 , 46 ( 7 ): 070604 . DOI: 10.11889/j.0253-3219.2023.hjs.46.070604 http://dx.doi.org/10.11889/j.0253-3219.2023.hjs.46.070604 .
ZHU Guangyu , GUO Chao , LIU Qiaofeng , et al . Numerical simulation on heat transfer of VVER core Cather [J ] . Nuclear Techniques , 2023 , 46 ( 7 ): 070604 . DOI: 10.11889/j.0253-3219.2023.hjs.46.070604 http://dx.doi.org/10.11889/j.0253-3219.2023.hjs.46.070604 .
袁显宝 , 彭珏钦 , 张彬航 , 等 . 压水堆破口事故下裂变产物源项释放及衰变热分析 [J ] . 核技术 , 2024 , 47 ( 4 ): 040603 . DOI: 10.11889/j.0253-3219.2024.hjs.47.040603 http://dx.doi.org/10.11889/j.0253-3219.2024.hjs.47.040603 .
YUAN Xianbao , PENG Jueqin , ZHANG Binhang , et al . Analysis of fission product source term release and decay heat under pressurized water reactor rupture accident [J ] . Nuclear Techniques , 2024 , 47 ( 4 ): 040603 . DOI: 10.11889/j.0253-3219.2024.hjs.47.040603 http://dx.doi.org/10.11889/j.0253-3219.2024.hjs.47.040603 .
Wang M J , Bai L Y , Wang L F , et al . Thermal hydraulic and stress coupling analysis for AP1000 Pressurized Thermal Shock (PTS) study under SBLOCA scenario [J ] . Applied Thermal Engineering , 2017 , 122 : 158 – 170 . DOI: 10.1016/j.applthermaleng.2017.04.106 http://dx.doi.org/10.1016/j.applthermaleng.2017.04.106 .
刘宇生 , 薛艳芳 , 王昆鹏 , 等 . 压力容器-保温层流道变形条件下临界热流密度试验研究 [J ] . 核动力工程 , 2020 , 41 ( 6 ): 52 – 57 .
LIU Yusheng , XUE Yanfang , WANG Kunpeng , et al . Experimental study on critical heat flux in deformed flow channel between pressure vessel and insulation [J ] . Nuclear Power Engineering , 2020 , 41 ( 6 ): 52 – 57 .
Server W L , Nanstad R K . 1 - Reactor pressure vessel (RPV) design and fabrication: the case of the USA [J ] . Irradiation Embrittlement of Reactor Pressure Vessels (RPVs) in Nuclear Power Plants , 2015 , 2015 : 3 – 25 . DOI: 10.1533/978 0857096470.1.3 http://dx.doi.org/10.1533/9780857096470.1.3 .
Kuang B , Liu P F , Wang F , et al . Influences of some engineered factors on IVR-ERVC limits [J ] . Nuclear Engineering and Design , 2019 , 347 : 20 – 30 . DOI: 10.1016/j.nucengdes.2019.03.016 http://dx.doi.org/10.1016/j.nucengdes.2019.03.016 .
蒋鸿 , 周婧 , 刘立志 . 反应堆冷却剂泵叶轮水力性能分析与优化设计 [J ] . 核动力工程 , 2019 , 40 ( 5 ): 41 – 45 . DOI: 10.13832/j.jnpe.2019.05.0041 http://dx.doi.org/10.13832/j.jnpe.2019.05.0041 .
JIANG Hong , ZHOU Jing , LIU Lizhi . Hydraulic performance analysis and optimization for the impeller of reactor coolant pump [J ] . Nuclear Power Engineering , 2019 , 40 ( 5 ): 41 – 45 . DOI: 10.13832/j.jnpe.2019.05.0041 http://dx.doi.org/10.13832/j.jnpe.2019.05.0041 .
Wei Y , Liu W , Xue Y , et al . Inverse design of aircraft cabin ventilation by integrating three methods [J ] . Building and Environment , 2019 , 150 : 33 – 43 . DOI: 10.1016/j.buildenv.2019.01.002 http://dx.doi.org/10.1016/j.buildenv.2019.01.002 .
赵兴旺 , 殷勇高 . 封闭/半封闭空间内气流组织设计理论基础与方法 [J ] . 科学通报 , 2023 , 68 : 671 – 683 . DOI: 10.1360/TB-2022-0811 http://dx.doi.org/10.1360/TB-2022-0811 .
ZHAO Xingwang , YIN Yonggao . Theoretical basis and method of airflow organization design in enclosed or semi-enclosed space [J ] . Chinese Science Bulletin , 2023 , 68 : 671 – 683 . DOI: 10.1360/TB-2022-0811 http://dx.doi.org/10.1360/TB-2022-0811 .
朱玉杰 , 琚亚平 , 张楚华 . 叶栅叶型正反设计的伴随优化方法 [J ] . 西安交通大学学报 , 2019 , 53 ( 1 ): 100 – 105, 174 . DOI: 10.7652/xjtuxb201901013 http://dx.doi.org/10.7652/xjtuxb201901013 .
ZHU Yujie , JU Yaping , ZHANG Chuhua . Adjoint optimization for direct and inverse design of cascade blade profiles [J ] . Journal of Xi'an Jiaotong University , 2019 , 53 ( 1 ): 100 – 105, 174 . DOI: 10.7652/xjtuxb201901013 http://dx.doi.org/10.7652/xjtuxb201901013 .
Squires M , Tao X H , Elangovan S , et al . A novel genetic algorithm based system for the scheduling of medical treatments [J ] . Expert Systems with Applications , 2022 , 195 : 116464 . DOI: 10.1016/j.eswa.2021.116464 http://dx.doi.org/10.1016/j.eswa.2021.116464 .
Xue Y , Liu W . Inverse design of built environment by a fast fluid dynamics-based genetic algorithm [C ] // Building Simulation Conference proceedings" , "Proceedings of Building Simulation 2019 : 16th Conference of IBPSA. September 2- 4 , 2019. Rome, Italy . IBPSA, DOI: 10. 26868/25222708.2019.210551 http://dx.doi.org/10.26868/25222708.2019.210551 .
Zhao X W , Liu W , Lai D Y , et al . Optimal design of an indoor environment by the CFD-based adjoint method with area-constrained topology and cluster analysis [J ] . Building and Environment , 2018 , 138 : 171 – 180 . DOI: 10.1016/j.buildenv.2018.04.033 http://dx.doi.org/10.1016/j.buildenv.2018.04.033 .
Wei Y , Zhang T F , Wang S G . Prompt design of the air-supply opening size for a commercial airplane based on the proper orthogonal decomposition of flows [J ] . Building and Environment , 2016 , 96 : 131 – 141 . DOI: 10.1016/j.buildenv.2015.11.020 http://dx.doi.org/10.1016/j.buildenv.2015.11.020 .
Liu Y , P W X , Long Z W . Optimization of air supply parameters for stratum ventilation based on proper orthogonal decomposition [J ] . Sustainable Cities and Society , 2021 , 75 : 103291 . DOI: 10.1016/j.scs.2021.103291 http://dx.doi.org/10.1016/j.scs.2021.103291 .
Lu Y B , Wang T T , Zhao C L , et al . An efficient design method of indoor ventilation parameters for high-speed trains using improved proper orthogonal decomposition reconstruction [J ] . Journal of Building Engineering , 2023 , 71 : 106600 . DOI: 10.1016/j.jobe.2023.106600 http://dx.doi.org/10.1016/j.jobe.2023.106600 .
Chen X B , Zhang R H , Yang W F . Inverse design and optimization of low specific speed centrifugal pump blade based on adaptive POD hybrid model [J ] . Journal of Applied Fluid Mechanics , 2022 , 15 : 453 – 464 . DOI: 10.47176/jafm.15.02.33031 http://dx.doi.org/10.47176/jafm.15.02.33031 .
王艺达 , 刘小民 , 周逸伦 , 等 . 燃料电池离心压缩机叶轮构型的参数优化及性能分析 [J ] . 西安交通大学学报 , 2022 , 56 ( 6 ): 164 – 174 . DOI: 10.7652/xjtuxb202206019 http://dx.doi.org/10.7652/xjtuxb202206019 .
WANG Yida , LIU Xiaomin , ZHOU Yilun , et al . Performance analysis and multi-parameter optimization of centrifugal impeller configuration for the centrifugal compressor used in fuel cells [J ] . Journal of Xi'an Jiaotong University , 2022 , 56 ( 6 ): 164 – 174 . DOI: 10.7652/xjtuxb202206019 http://dx.doi.org/10.7652/xjtuxb202206019 .
Xu Y K , Wei X B , Yu Y L , et al . Inverse design of dynamic protective air supply based on proper orthogonal decomposition [J ] . Sustainable Cities and Society , 2023 , 95 : 104591 . DOI: 10.1016/j.scs.2023.104591 http://dx.doi.org/10.1016/j.scs.2023.104591 .
Zhao J , Dai Y J , Li Y G , et al . Development of a full-scale MATCH model in heat transfer performance simulation of RPV insulation structure with experimental validation [J ] . International Communications in Heat and Mass Transfer , 2023 , 148 : 107059 . DOI: 10.1016/j.icheatmasstransfer. 2023.107059 http://dx.doi.org/10.1016/j.icheatmasstransfer.2023.107059 .
ANSYS Inc . ANSYS fluent theory guide, (Release 19.2) [R ] . Canonsburg, PA : ANSYS Inc , 2019 .
ANSYS Inc . ANSYS fluent theory guide (Release 2023 R1) [R ] . ANSYS, Inc. , 2023 : 236 – 245 . 10.1002/cprt.31503 http://dx.doi.org/10.1002/cprt.31503
Blazek J . Computational fluid dynamics: principles and applications [M ] . Amsterdam , 2015 . 10.1016/b978-0-08-099995-1.00012-9 http://dx.doi.org/10.1016/b978-0-08-099995-1.00012-9
陶文铨 . 数值传热学 [M ] . 2版 . 西安 : 西安交通大学出版社 , 2001 .
TAO Wenquan . Numerical heat transfer [M ] . 2nd ed . Xi'an : Xi'an Jiaotong University Press , 2001 .
Qiu T , Luo Y , Qiu Y , et al . Research for the heat leakage caused by gaps on barrel insulation structure of reactor pressure vessel [J ] . International Journal of Advanced Nuclear Reactor Design and Technology , 2019 , 1 : 30 – 42 . DOI: 10.1016/j.jandt.2019.11.001 http://dx.doi.org/10.1016/j.jandt.2019.11.001 .
Sirovich L . Turbulence and the dynamics of coherent structures. I. Coherent structures [J ] . Quarterly of Applied Mathematics , 1987 , 45 ( 3 ): 561 – 571 . DOI: 10.1090/qam/910462 http://dx.doi.org/10.1090/qam/910462 .
Dai Y J , Zhao J , Gui X L , et al . A fast and high-fidelity multi-parameter thermal-field prediction system based on CFD and POD coupling: Application to the RPV insulation structure [J ] . International Journal of Heat and Mass Transfer , 2024 , 233 : 125985 . DOI: 10.1016/j.ijheatmasstransfer.2024.125985 http://dx.doi.org/10.1016/j.ijheatmasstransfer.2024.125985 .
Taira K , Brunton S L , Dawson S T M , et al . Modal analysis of fluid flows: an overview [J ] . AIAA Journal , 2017 , 55 ( 12 ): 4013 – 4041 . DOI: 10.2514/1.J056060 http://dx.doi.org/10.2514/1.J056060 .
Ghosh R , Joshi Y . Error estimation in POD-based dynamic reduced-order thermal modeling of data centers [J ] . International Journal of Heat and Mass Transfer , 2013 , 57 ( 2 ): 698 – 707 . DOI: 10.1016/j.ijheatmass transfer.2012.10.013 http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.10.013 .
Wang X L , Wang Y , Cao Z Z , et al . Comparison study on linear interpolation and cubic B-spline interpolation proper orthogonal decomposition methods [J ] . Advances in Mechanical Engineering , 2013 , 5 : 1 - 10 . DOI: 10.1155/2013/561875 http://dx.doi.org/10.1155/2013/561875 .
Jo T , Koo B , Kim H , et al . Effective sensor placement in a steam reformer using gappy proper orthogonal decomposition [J ] . Applied Thermal Engineering , 2019 , 154 : 419 – 432 . DOI: 10.1016/j.applthermaleng.2019. 03.089 http://dx.doi.org/10.1016/j.applthermaleng.2019.03.089 .
Wang J Y , Lu Z J , Zhong M , et al . Coupled thermal–structural analysis and multi-objective optimization of a cutting-type energy-absorbing structure for subway vehicles [J ] . Thin-Walled Structures , 2019 , 141 : 360 – 373 . DOI: 10.1016/j.tws.2019.04.026 http://dx.doi.org/10.1016/j.tws.2019.04.026 .
Hou F L , Ma J , Kwok H H L , et al . Prediction and optimization of thermal comfort, IAQ and energy consumption of typical air-conditioned rooms based on a hybrid prediction model [J ] . Building and Environment , 2022 , 225 : 109576 . DOI: 10.1016/j.buildenv.2022. 109576 http://dx.doi.org/10.1016/j.buildenv.2022.109576 .
Kang H L , Tian Z F , Chen G L , et al . Application of POD reduced-order algorithm on data-driven modeling of rod bundle [J ] . Nuclear Engineering and Technology , 2022 , 54 ( 1 ): 36 – 48 . DOI: 10.1016/j.net.2021.07.010 http://dx.doi.org/10.1016/j.net.2021.07.010 .
Zhang G H , Sundén B , Xie G N . Combined experimental and numerical investigations on heat transfer augmentation in truncated ribbed channels designed by adopting fractal theory [J ] . International Communications in Heat and Mass Transfer , 2021 , 121 : 105080 . DOI: 10. 1016/j.icheatmasstransfer.2020.105080 http://dx.doi.org/10.1016/j.icheatmasstransfer.2020.105080 .
0
浏览量
0
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621