arXiv:2606.04033cs.LG2026-06

用深度学习和梯度优化设计核反应堆验证实验,提升相似性至0.97以上。

Inverse Critical Experiment Design via Gradient Optimization and a Multigroup Attention-Based Neural Network Architecture

论文配图:Inverse Critical Experiment Design via Gradient Optimization and a Multigroup Attention-Based Neural Network Architecture
图 1 · 摘自论文原文
  • 用神经网络代理模型与梯度优化,反向设计高相似度实验结构。
  • 生成的三种构型相似度达0.97757、0.81324和0.93276,均超0.9阈值。
  • 多群注意力池化结构提升性能且可解释,适合核能领域研究者。

先进核反应堆与燃料概念的验证需具备高度中子相似性的临界实验。中子相似性由相关系数 $c_k$ 表征,反映核数据不确定性引起的 $k_ ext{eff}$ 共同偏差。通常要求 $c_k \geq 0.9$ 才视为足够相似。本文提出一种临界实验逆向设计方法,结合深度神经网络代理模型与非参数梯度优化,生成最大化 $c_k$ 的实验几何结构。神经网络基于 OpenMC 计算的网格化临界实验敏感性向量训练,架构融合 U-Net 卷积编码器-解码器与新型多群注意力池化层,以捕捉不同能量群间敏感性的空间依赖差异。多群注意力池化表现优于传统池化,并具可解释性。代理模型的可微性使全组合设计空间的梯度优化成为可能,通过直接调整几何网格中各位置的材料分配来最大化 $c_k$。该方法应用于 TN-Americas TN-LC 运输罐(含 HALEU 燃料)的验证,现有临界实验覆盖有限。优化结果对三种构型分别获得 $c_k = 0.97757$、$0.81324$ 与 $0.93276$,证明深度学习与梯度优化在加速先进核技术开发中的潜力。

原文摘要 · Abstract (English)

The validation of advanced nuclear reactor designs and fuel concepts requires critical experiments with high neutronic similarity to the target technology. Neutronic similarity is quantified by the correlation coefficient $c_k$, which captures the shared bias in $k_\text{eff}$ induced by uncertainties in nuclear data. Generally, a $c_k\geq0.9$ is needed for an experiment to be sufficiently similar to a target technology. This work presents a methodology for the inverse design of critical experiments. Deep neural network surrogate modeling and nonparametric gradient optimization are used to generate experiment geometries that maximize $c_k$. A deep neural network is trained on OpenMC-calculated sensitivity vectors for grid-based critical experiment geometries. The model architecture combines a U-Net convolutional encoder-decoder with a novel multigroup attention pooling layer, introduced to capture the differing spatial dependencies of sensitivities. Multigroup attention pooling is shown to achieve better performance than traditional pooling, as well as interpretable internal behavior. The differentiability of the surrogate enables gradient-based optimization of the full combinatorial design space, allowing $c_k$ to be maximized by directly changing the material assignment of each position in the geometry grid. The method is applied to the validation of the TN-Americas TN-LC transportation cask with HALEU fuel, for which existing critical experiment coverage is limited. The optimization procedure is shown to produce experiment geometries achieving $c_k$ scores of 0.97757, 0.81324, and 0.93276 for three configurations of interest. This approach demonstrates the potential of deep learning and gradient optimization to accelerate the development of advanced nuclear technology.

核能深度学习逆向设计优化

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。