论文标题
使用神经网络对Safari-1轴向中子通量曲线的预测和不确定性定量
Prediction and Uncertainty Quantification of SAFARI-1 Axial Neutron Flux Profiles with Neural Networks
论文作者
论文摘要
人工神经网络(ANN)已成功地用于各种核工程应用中,例如在合理的时间内预测反应堆物理参数,并且具有很高的准确性。尽管取得了成功,但他们仍无法提供有关模型预测不确定性的信息,因此很难评估ANN预测的信誉,尤其是在推断的域中。在这项研究中,深层神经网络(DNN)用于预测Safari-1研究反应器中的组装轴向中子通量谱,并在ANN预测中进行了量化的不确定性,并将外推到训练过程中未使用的循环中。训练数据集由铜线激活测量值,轴向测量位置以及从反应堆历史周期获得的测量控制库位置组成。常规DNN模型预测的不确定性定量是使用蒙特卡洛辍学(MCD)和通过变异推理(BNN VI)求解的贝叶斯神经网络进行的。使用MCD和BNN VI结果求解的常规DNN,DNNS彼此之间的吻合非常吻合,并且与未在训练过程中使用的新测量数据集彼此吻合,因此表明了良好的预测能力和概括能力。 MCD和BNN VI产生的不确定性频段非常吻合,通常,它们可以完全构想嘈杂的测量数据点。开发的ANN可用于支持实验测量活动和中子代码验证和验证(V&V)。
Artificial Neural Networks (ANNs) have been successfully used in various nuclear engineering applications, such as predicting reactor physics parameters within reasonable time and with a high level of accuracy. Despite this success, they cannot provide information about the model prediction uncertainties, making it difficult to assess ANN prediction credibility, especially in extrapolated domains. In this study, Deep Neural Networks (DNNs) are used to predict the assembly axial neutron flux profiles in the SAFARI-1 research reactor, with quantified uncertainties in the ANN predictions and extrapolation to cycles not used in the training process. The training dataset consists of copper-wire activation measurements, the axial measurement locations and the measured control bank positions obtained from the reactor's historical cycles. Uncertainty Quantification of the regular DNN models' predictions is performed using Monte Carlo Dropout (MCD) and Bayesian Neural Networks solved by Variational Inference (BNN VI). The regular DNNs, DNNs solved with MCD and BNN VI results agree very well among each other as well as with the new measured dataset not used in the training process, thus indicating good prediction and generalization capability. The uncertainty bands produced by MCD and BNN VI agree very well, and in general, they can fully envelop the noisy measurement data points. The developed ANNs are useful in supporting the experimental measurements campaign and neutronics code Verification and Validation (V&V).