基于实验数据与理论模型的链产额数据产生方法研究

Research on Generation Method of Chain Yield Data Based on Experimental Data and Theoretical Model

  • 摘要: 裂变产额是核反应堆工程领域的重要核数据,链产额是裂变产额随裂变产物质量数的分布,是裂变后数据的重要组成部分。本文收集、分析了链产额实验数据,对链产额进行了必要修正,评价给出了推荐值。基于推荐值,采用Katakura五高斯模型对链产额数据进行拟合优化模型参数,进一步计算给出缺少实验数据的质量链产额。基于实验数据推荐值和理论模型计算结果,对主要锕系核素的不同裂变系统产生完整的链产额数据。以235U、238U、239Pu为例,对产生的链产额数据与实验数据的符合度约化χ2进行了计算,并与国际上各大数据库的χ2进行了比较。结果表明,本文工作对不同裂变系统产生的链产额数据的约化χ2最接近1,优于其他各数据库。本文产生的链产额数据对后续独立裂变产额的评价奠定了基础。

     

    Abstract: Independent fission yields are essential nuclear data in the field of nuclear reactor engineering. Evaluation of independent fission yields is of great significance. Chain yields describe the mass distribution of fission products and constitute a crucial part of post-fission data. This study aims to collect and analyze the latest experimental data on chain yields, make necessary corrections to the data and evaluate the recommended value of each mass chain. The parameters of the Katakura five-Gaussian model were optimized based on recommended values to calculate for mass chains lacking experimental data. Chain yields of different fissioning systems were generated based on experimentally recommended values and theoretical model calculation results. In the evaluation of chain yield experimental measurement data, more than 21 000 data points from different sources were first collected; then the data were processed for relative measurements and measurement uncertainties were adjusted. The weighted average of chain yield measurement data of a certain mass chain was calculated by the inverse variance weighted method, and the recommended values for different mass chains were evaluated for a certain fissioning system. Based on the evaluated recommended values of chain yield experimental data, the gradient descent method was used to optimize the parameters of the Katakura five-Gaussian model and the chain yields were calculated for mass chains lacking experimental data. The framework of optimization was constructed based on TensorFlow developed by Google. The generation of chain yields for different fissioning systems was completed by combining the recommended values of experimental data and the calculated data of the optimized five-Gaussian model. The calculated values were normalized with the experimental recommended values to ensure data smoothness. The chain yields of different actinide nuclides were generated. Taking the fission of 235U, 238U and 239Pu induced by thermal neutrons, fast neutrons, and 14 MeV neutrons as examples, the results were compared with three sets of chain yield data published separately by the USA and Europe. The reduced χ2 between chain yield data and experimental data were calculated for different fissioning systems for different chain yield data sets. The reduced χ2 results calculated based on the chain yield data of this work are closest to 1, which is better than the reference data libraries. The chain yield generation method in this study is correct, and the results are reasonable and reliable, which is beneficial to the subsequent independent fission yield evaluation.

     

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