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Volume 46 Issue 1
Feb.  2025
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Wu Hongchun, Lei Kaihui, Shen Jingwen. Research Progress in the Application of Artificial Intelligence in Reactor Neutron Analysis[J]. Nuclear Power Engineering, 2025, 46(1): 1-12. doi: 10.13832/j.jnpe.2025.01.0001
Citation: Wu Hongchun, Lei Kaihui, Shen Jingwen. Research Progress in the Application of Artificial Intelligence in Reactor Neutron Analysis[J]. Nuclear Power Engineering, 2025, 46(1): 1-12. doi: 10.13832/j.jnpe.2025.01.0001

Research Progress in the Application of Artificial Intelligence in Reactor Neutron Analysis

doi: 10.13832/j.jnpe.2025.01.0001
  • Received Date: 2024-10-25
  • Accepted Date: 2024-11-07
  • Rev Recd Date: 2024-11-15
  • Publish Date: 2025-02-15
  • Amid the global surge in scientific intelligence research and applications, artificial intelligence (AI) technology has been applied in various aspects of reactor neutron analysis to enhance its intelligence, precision and efficiency. This paper provides a comprehensive review of the research progress in the application of AI technologies within reactor neutron analysis, aiming to provide insights for advancing the digitalization of reactors and supporting future developments in this field. We first introduce AI methods' basic classifications and characteristics, and then investigate the four key aspects of neutron analysis: nuclear data evaluation, problem modeling, numerical solution of equations, and transport result application. Also critical technologies are reviewed and summarized for each aspect. Finally, the paper discusses challenges in AI-based neutron analysis, particularly in model, data, and application security. In response to these challenges, the paper proposes research recommendations.

     

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  • [1]
    吴宏春. 高等核反应堆物理[M]. 北京: 科学出版社,2023: 4-39.
    [2]
    邓力,李刚. 粒子输运问题的蒙特卡罗模拟方法与应用(上册)[M]. 北京: 科学出版社,2019: 42-86.
    [3]
    BI K F, XIE L X, ZHANG H H, et al. Accurate medium-range global weather forecasting with 3D neural networks[J]. Nature, 2023, 619(7970): 533-538. doi: 10.1038/s41586-023-06185-3
    [4]
    JUMPER J, EVANS R, PRITZEL A, et al. Highly accurate protein structure prediction with AlphaFold[J]. Nature, 2021, 596(7873): 583-589.
    [5]
    ZHANG L W, WANG Z Y, ZHANG Q X, et al. CLAY: a controllable large-scale generative model for creating high-quality 3D assets[J]. ACM Transactions on Graphics (TOG), 2024, 43(4): 120.
    [6]
    BROOKS T, PEEBLES B, HOLMES C, et al. Video generation models as world simulators[EB/OL].(2024-02-15)[2024-10-25]. https://openai.com/index/video-generation-models-as-world-simulators/.
    [7]
    YU J, LU L, MENG X H, et al. Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems[J]. Computer Methods in Applied Mechanics and Engineering, 2022, 393: 114823. doi: 10.1016/j.cma.2022.114823
    [8]
    LI Z Y, KOVACHKI N B, AZIZZADENESHELI K, et al. Fourier neural operator for parametric partial differential equations[C]//9th International Conference on Learning Representations, ICLR 2021. Virtual Event, Austria, 2021.
    [9]
    PENG B, WEI Y, QIN Y, et al. Machine learning-enabled constrained multi-objective design of architected materials[J]. Nature Communications, 2023, 14(1): 6630. doi: 10.1038/s41467-023-42415-y
    [10]
    GEBAUER N W A, GASTEGGER M, HESSMANN S S P, et al. Inverse design of 3D molecular structures with conditional generative neural networks[J]. Nature Communications, 2022, 13(1): 973. doi: 10.1038/s41467-022-28526-y
    [11]
    中国电子技术标准化研究院. 人工智能标准化白皮书(2018版)20180117(3)[R]. 北京: 中国电子技术标准化研究院,2018.
    [12]
    SUTTON R S, BARTO A G. Reinforcement learning: an introduction[M]. 2nd ed. Cambridge: The MIT Press, 2018: 1-22.
    [13]
    李航. 机器学习方法[M]. 北京: 清华大学出版社,2022: 415-446.
    [14]
    SCARSELLI F, GORI M, TSOI A C, et al. The graph neural network model[J]. IEEE Transactions on Neural Networks, 2009, 20(1): 61-80. doi: 10.1109/TNN.2008.2005605
    [15]
    MICHELI A. Neural network for graphs: a contextual constructive approach[J]. IEEE Transactions on Neural Networks, 2009, 20(3): 498-511. doi: 10.1109/TNN.2008.2010350
    [16]
    BRONSTEIN M M, BRUNA J, LECUN Y, et al. Geometric deep learning: going beyond euclidean data[J]. IEEE Signal Processing Magazine, 2017, 34(4): 18-42.
    [17]
    WU Z X, WANG J K, DU H Y, et al. Chemistry-intuitive explanation of graph neural networks for molecular property prediction with substructure masking[J]. Nature Communications, 2023, 14(1): 2585.
    [18]
    ALET F, JEEWAJEE A K, VILLALONGA M B, et al. Graph element networks: adaptive, structured computation and memory[C]//Proceedings of the 36th International Conference on Machine Learning. Long Beach: PMLR, 2019: 212-222.
    [19]
    LIU Z M, WANG Y X, VAIDYA S, et al. KAN: kolmogorov-arnold networks[J]. arXiv: 2404.19756, 2024.
    [20]
    LIU Z M, MA P C, WANG Y X, et al. KAN 2.0: kolmogorov-arnold networks meet science[J]. arXiv: 2408.10205, 2024.
    [21]
    LOVELL A, MOHAN A, TALOU P, et al. Constraining fission yields using machine learning[C]//5th International Workshop on Nuclear Data Evaluation for Reactor Applications. Aix-en-Provence: EPJ, 2019: 04006.
    [22]
    AKKOYUN S. Estimation of fusion reaction cross-sections by artificial neural networks[J]. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2020, 462: 51-54.
    [23]
    RODRIGUEZ A, LAM S, HU M. Thermodynamic and transport properties of LiF and FLiBe molten salts with deep learning potentials[J]. ACS Applied Materials & Interfaces, 2021, 13(46): 55367-55379.
    [24]
    WANG H, ZHANG L F, HAN J Q, et al. DeePMD-kit: a deep learning package for many-body potential energy representation and molecular dynamics[J]. Computer Physics Communications, 2018, 228: 178-184.
    [25]
    THEODORIDIS S. Machine learning: a bayesian and optimization perspective[M]. 2nd ed. Amsterdam: Elsevier, 2020: 27-28.
    [26]
    WANG Z A, PEI J C, LIU Y, et al. Bayesian evaluation of incomplete fission yields[J]. Physical Review Letters, 2019, 123(12): 122501. doi: 10.1103/PhysRevLett.123.122501
    [27]
    BOEHNLEIN A, DIEFENTHALER M, SATO N, et al. Colloquium: machine learning in nuclear physics[J]. Reviews of Modern Physics, 2022, 94(3): 031003. doi: 10.1103/RevModPhys.94.031003
    [28]
    CATACORA-RIOS M, KING G B, LOVELL A E, et al. Exploring experimental conditions to reduce uncertainties in the optical potential[J]. Physical Review C, 2019, 100(6): 064615. doi: 10.1103/PhysRevC.100.064615
    [29]
    GOODFELLOW I, BENGIO Y, COURVILLE A. Deep learning[M]. Cambridge: The MIT Press, 2016: 157-161.
    [30]
    MITRA S, CHOI H, LIU S S, et al. Unmasking correlations in nuclear cross sections with graph neural networks[J]. arXiv: 2404.02332, 2024.
    [31]
    DORVILLE J J C. Advancing nuclear reactor simulations using ray tracing, machine learning and kinematic models of energy deposition[D]. Golden: Colorado School of Mines, 2023.
    [32]
    CHAN Y M, DUFEK J. A deep-learning representation of multi-group cross sections in lattice calculations[J]. Annals of Nuclear Energy, 2024, 195: 110123. doi: 10.1016/j.anucene.2023.110123
    [33]
    DZIANISAU S, SAEJU K, LEE H C, et al. Development of an artificial neural network model for generating macroscopic cross-sections for RAST-AI[J]. Annals of Nuclear Energy, 2023, 186: 109777.
    [34]
    WANG S C, CAO L Z, LI Y Z, et al. An energy-group structure optimization from seven to four for PWR-core pin-by-pin calculation[J]. Nuclear Engineering and Design, 2023, 402: 112115. doi: 10.1016/j.nucengdes.2022.112115
    [35]
    舒文玉. 多群屏蔽数据库制作方法研究及基于CENDL 3.2的自主化多群屏蔽库制作[D]. 西安: 西安交通大学,2022.
    [36]
    MASSONE M, GABRIELLI F, RINEISKI A. A genetic algorithm for multigroup energy structure search[J]. Annals of Nuclear Energy, 2017, 105: 369-387. doi: 10.1016/j.anucene.2017.03.022
    [37]
    WILSON P P H, TAUTGES T J, KRAFTCHECK J A, et al. Acceleration techniques for the direct use of CAD-based geometry in fusion neutronics analysis[J]. Fusion Engineering and Design, 2010, 85(10-12): 1759-1765. doi: 10.1016/j.fusengdes.2010.05.030
    [38]
    REGASSA HUNDE B, DEBEBE WOLDEYOHANNES A. Future prospects of computer-aided design (CAD) – a review from the perspective of artificial intelligence (AI), extended reality, and 3D printing[J]. Results in Engineering, 2022, 14: 100478.
    [39]
    CHEN T R, YU C N, HU Y Q, et al. Img2CAD: conditioned 3D CAD model generation from single image with structured visual geometry[J]. arXiv: 2410.03417, 2024.
    [40]
    YOU Y, UY M A, HAN J Q, et al. Img2CAD: reverse engineering 3D CAD models from images through VLM-assisted conditional factorization[J]. arXiv: 2408.01437, 2024.
    [41]
    HOANG L. 3D solid reconstruction from 2D orthographic views[M]//SOBOTA B, CVETKOVIĆ D. Mixed Reality and Three-Dimensional Computer Graphics. London: IntechOpen, 2020.
    [42]
    王国忠,程梦云,龙鹏程,等. 基于相似性评价的辐射输运计算建模方法研究[J]. 核科学与工程,2015, 35(3): 458-463. doi: 10.3969/j.issn.0258-0918.2015.03.010
    [43]
    罗月童. 模型变换技术及其在MCNP建模中的应用研究[D]. 合肥: 合肥工业大学,2005.
    [44]
    郝丽,莫蓉,魏斌斌,等. 基于图谱理论和聚类的三维CAD模型分割方法: 中国,109241628B[P]. 2018-09-08.
    [45]
    LAMBOURNE J G, WILLIS K D D, JAYARAMAN P K, et al. BRepNet: a topological message passing system for solid models[C]//Proceedings of the 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). Nashville: IEEE, 2021: 12768-12777.
    [46]
    LUO Y T, DU H, YAN Y M. MeshCNN-based BREP to CSG conversion algorithm for 3D CAD models and its application[J]. Nuclear Science and Techniques, 2022, 33(6): 74. doi: 10.1007/s41365-022-01063-5
    [47]
    HANOCKA R, HERTZ A, FISH N, et al. MeshCNN: a network with an edge[J]. ACM Transactions on Graphics, 2019, 38(4): 90.
    [48]
    詹高扬. 面向设计重用的三维CAD模型检索方法研究[D]. 杭州: 杭州电子科技大学,2023.
    [49]
    周波,郭正跃,韩承村,等. 基于图卷积网络的BREP→CSG转换方法及其应用研究[J]. 图学学报,2022, 43(1): 101-109.
    [50]
    DISSANAYAKE M W M G, PHAN-THIEN N. Neural-network-based approximations for solving partial differential equations[J]. Communications in Numerical Methods in Engineering, 1994, 10(3): 195-201.
    [51]
    RAISSI M, PERDIKARIS P, KARNIADAKIS G E. Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations[J]. Journal of Computational Physics, 2019, 378: 686-707. doi: 10.1016/j.jcp.2018.10.045
    [52]
    CUOMO S, DI COLA V S, GIAMPAOLO F, et al. Scientific machine learning through physics–informed neural networks: where we are and what’s next[J]. Journal of Scientific Computing, 2022, 92(3): 88. doi: 10.1007/s10915-022-01939-z
    [53]
    XIE Y C, WANG Y H, MA Y. Boundary dependent physics-informed neural network for solving neutron transport equation[J]. Annals of Nuclear Energy, 2024, 195: 110181. doi: 10.1016/j.anucene.2023.110181
    [54]
    XIE Y C, CHI H H, WANG Y H, et al. Physics-specialized neural network with hard constraints for solving multi-material diffusion problems[J]. Computer Methods in Applied Mechanics and Engineering, 2024, 430: 117223.
    [55]
    XIE Y C, MA Y H, WANG Y. Automatic boundary fitting framework of boundary dependent physics-informed neural network solving partial differential equation with complex boundary conditions[J]. Computer Methods in Applied Mechanics and Engineering, 2023, 414: 116139. doi: 10.1016/j.cma.2023.116139
    [56]
    刘东,王雪强,张斌,等. 深度学习方法求解中子输运方程的微分变阶理论[J]. 原子能科学技术,2023, 57(5): 946-959. doi: 10.7538/yzk.2023.youxian.0002
    [57]
    KHARAZMI E, ZHANG Z Q, KARNIADAKIS G E M. hp-VPINNs: variational physics-informed neural networks with domain decomposition[J]. Computer Methods in Applied Mechanics and Engineering, 2021, 374: 113547. doi: 10.1016/j.cma.2020.113547
    [58]
    刘东,罗琦,唐雷,等. 基于PINN深度机器学习技术求解多维中子学扩散方程[J]. 核动力工程,2022, 43(2): 1-8.
    [59]
    YANG Y, GONG H L, ZHANG S Q, et al. A data-enabled physics-informed neural network with comprehensive numerical study on solving neutron diffusion eigenvalue problems[J]. Annals of Nuclear Energy, 2023, 183: 109656. doi: 10.1016/j.anucene.2022.109656
    [60]
    E W N, YU B. The deep ritz method: a deep learning-based numerical algorithm for solving variational problems[J]. Communications in Mathematics and Statistics, 2018, 6(1): 1-12.
    [61]
    YANG Q H, YANG Y, DENG Y T, et al. Physics-constrained neural network for solving discontinuous interface K-eigenvalue problem with application to reactor physics[J]. Nuclear Science and Techniques, 2023, 34(10): 161. doi: 10.1007/s41365-023-01313-0
    [62]
    LU L, MENG X H, MAO Z P, et al. DeepXDE: a deep learning library for solving differential equations[J]. SIAM Review, 2021, 63(1): 208-228. doi: 10.1137/19M1274067
    [63]
    WANG S F, TENG Y J, PERDIKARIS P. Understanding and mitigating gradient flow pathologies in physics-informed neural networks[J]. SIAM Journal on Scientific Computing, 2021, 43(5): A3055-A3081. doi: 10.1137/20M1318043
    [64]
    LIU L, ZENG T Y, ZHANG Z C. A deep neural network approach on solving the linear transport model under diffusive scaling[J]. arXiv: 2102.12408, 2021.
    [65]
    WANG J Y, PENG X J, CHEN Z, et al. Surrogate modeling for neutron diffusion problems based on conservative physics-informed neural networks with boundary conditions enforcement[J]. Annals of Nuclear Energy, 2022, 176: 109234. doi: 10.1016/j.anucene.2022.109234
    [66]
    JAGTAP A D, KHARAZMI E, KARNIADAKIS G E. Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems[J]. Computer Methods in Applied Mechanics and Engineering, 2020, 365: 113028.
    [67]
    JAGTAP A D, KAWAGUCHI K, EM KARNIADAKIS G. Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020, 476(2239): 20200334. doi: 10.1098/rspa.2020.0334
    [68]
    WANG S F, YU X L, PERDIKARIS P. When and why PINNs fail to train: a neural tangent kernel perspective[J]. Journal of Computational Physics, 2022, 449: 110768. doi: 10.1016/j.jcp.2021.110768
    [69]
    XU Z Q J, ZHANG T Y, LUO T, et al. Frequency principle: Fourier analysis sheds light on deep neural networks[J]. Communications in Computational Physics, 2020, 28(5): 1746-1767. doi: 10.4208/cicp.OA-2020-0085
    [70]
    RAHAMAN N, BARATIN A, ARPIT D, et al. On the spectral bias of neural networks[C]//Proceedings of the 36th International Conference on Machine Learning. Long Beach: PMLR, 2019: 5301-5310.
    [71]
    LI X Q, ZHENG Y Q, DU X N, et al. A new surrogate method for the neutron kinetics calculation of nuclear reactor core transients[J]. Nuclear Engineering and Technology, 2024, 56(9): 3571-3584.
    [72]
    马锐垚,王鑫,李树,等. 基于神经网络的粒子输运问题高效计算方法[J]. 物理学报,2024, 73(7): 072802.
    [73]
    刘家旺,刘宙宇,曹良志,等. 基于深度学习的中子输运求解方法研究[C]//第二十届反应堆数值计算与粒子输运学术会议暨2024年反应堆物理会议. 哈尔滨,中国,2024.
    [74]
    LEI K H, WU H C, LIU Z Y, et al. SN-MscaleDNN: a coupling approach for rapid shielding-scheme evaluation of micro gas-cooled reactor in the large design-parameter space[J]. Annals of Nuclear Energy, 2024, 196: 110241. doi: 10.1016/j.anucene.2023.110241
    [75]
    BERRY J, ROMANO P, OSBORNE A. Upsampling monte carlo reactor simulation tallies in depleted sodium-cooled fast reactor assemblies using a convolutional neural network[J]. Energies, 2024, 17(9): 2177. doi: 10.3390/en17092177
    [76]
    OSBORNE A, DORVILLE J, ROMANO P. Upsampling Monte Carlo neutron transport simulation tallies using a convolutional neural network[J]. Energy and AI, 2023, 13: 100247. doi: 10.1016/j.egyai.2023.100247
    [77]
    张俊达,刘晓晶,熊进标,等. 基于神经网络的热管反应堆多物理场耦合快速预测[J]. 原子能科学技术,2024, 58(6): 1218-1225.
    [78]
    WAN C H, LEI K H, LI Y S. Optimization method of fuel-reloading pattern for PWR based on the improved convolutional neural network and genetic algorithm[J]. Annals of Nuclear Energy, 2022, 171: 109028.
    [79]
    雷铠灰,曹良志,万承辉,等. 基于深度卷积神经网络的堆芯换料方案性能评价研究[J]. 原子能科学技术,2021, 55(2): 279-285. doi: 10.7538/yzk.2020.youxian.0111
    [80]
    SONG Y M, MAO J, ZHANG Z H, et al. A novel multi-objective shielding optimization method: DNN-PCA-NSGA-II[J]. Annals of Nuclear Energy, 2021, 161: 108461. doi: 10.1016/j.anucene.2021.108461
    [81]
    于志翔,邹树梁,徐守龙,等. 基于BP神经网络的船用反应堆屏蔽设计快速计算功能研究[J]. 核电子学与探测技术,2016, 36(2): 209-213. doi: 10.3969/j.issn.0258-0934.2016.02.022
    [82]
    GONG H L, CHENG S B, CHEN Z, et al. Data-enabled physics-informed machine learning for reduced-order modeling digital twin: application to nuclear reactor physics[J]. Nuclear Science and Engineering, 2022, 196(6): 668-693.
    [83]
    康崇禄. 蒙特卡罗方法理论和应用[M]. 北京: 科学出版社,2015: 142-143.
    [84]
    BUTT M K, CAO L Z, WAN C H, et al. Integrating the deep learning and multi-objective genetic algorithm to the reloading pattern optimization of HPR1000 reactor core[J]. Nuclear Engineering and Design, 2024, 428: 113531. doi: 10.1016/j.nucengdes.2024.113531
    [85]
    CHEN Z P, ZHANG Z Y, XIE J S, et al. Multi-objective optimization strategies for radiation shielding design with genetic algorithm[J]. Computer Physics Communications, 2021, 260: 107267. doi: 10.1016/j.cpc.2020.107267
    [86]
    WU X, YANG Y W, HAN S, et al. Multi-objective optimization method for nuclear reactor radiation shielding design based on PSO algorithm[J]. Annals of Nuclear Energy, 2021, 160: 108404. doi: 10.1016/j.anucene.2021.108404
    [87]
    RADAIDEH M I, WOLVERTON I, JOSEPH J, et al. Physics-informed reinforcement learning optimization of nuclear assembly design[J]. Nuclear Engineering and Design, 2021, 372: 110966. doi: 10.1016/j.nucengdes.2020.110966
    [88]
    RADAIDEH M I, SHIRVAN K. Rule-based reinforcement learning methodology to inform evolutionary algorithms for constrained optimization of engineering applications[J]. Knowledge-Based Systems, 2021, 217: 106836. doi: 10.1016/j.knosys.2021.106836
    [89]
    雷铠灰,吴宏春,贺清明,等. 基于多频率尺度神经网络和改进型NSGA-II算法的气冷微堆屏蔽多目标优化方法研究[C]//第二十届反应堆数值计算与粒子输运学术会议暨2024年反应堆物理会议. 哈尔滨,黑龙江,2024.
    [90]
    REN K, ZHENG T H, QIN Z, et al. Adversarial attacks and defenses in deep learning[J]. Engineering, 2020, 6(3): 346-360. doi: 10.1016/j.eng.2019.12.012
    [91]
    GOODFELLOW I, SHLENS J, SZEGEDY C. Explaining and harnessing adversarial examples[C]//3rd International Conference on Learning Representations. San Diego: ICLR, 2015.
    [92]
    张恒,吕雪,刘东,等. 核电人工智能应用: 现状、挑战和机遇[J]. 核动力工程,2023, 44(1): 1-8.
    [93]
    JACOT A, GABRIEL F, HONGLER C. Neural tangent kernel: convergence and generalization in neural networks[C]//Proceedings of the 32nd International Conference on Neural Information Processing Systems. Montréal: Curran Associates Inc. , 2018: 8580-8589.
    [94]
    YANG Q, LIU Y, CHEN T J, et al. Federated machine learning: concept and applications[J]. ACM Transactions on Intelligent Systems and Technology (TIST), 2019, 10(2): 12.
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