基于聚类的压水堆栅元均匀化参数压缩方法研究

Research on Clustering Based PWR Pin-by-pin Homogenization Parameters Compression Method

  • 摘要: 为了降低反应堆物理高保真数值计算中栅元均匀化参数的数量及存储规模,提升高保真数值计算方法的实用性,本研究基于聚类的方法,通过对压水堆典型组件聚类数目和聚类特征的研究,确定了以快热通量比为聚类特征和5为聚类数目的先分类后聚类多层次聚类方法;推导了聚类栅元超级均匀化方法,建立了基于聚类的压水堆栅元均匀化参数压缩方法,并在华龙一号堆芯问题上验证了此方法的聚类效果。研究结果表明,对于华龙一号堆芯问题,该方法能保证较高的精度,并大幅降低栅元均匀化参数规模。因此,本研究建立的栅元均匀化参数压缩方法能用于压水堆栅元均匀化参数的压缩,降低其存储规模。

     

    Abstract: In the high-fidelity numerical calculation method of reactor physics, the pin-by-pin two-step method can achieve a balance between computational accuracy and computational cost, and is currently a feasible and realistic high fidelity numerical calculation method. However, compared to the traditional two-step method of assembly homogenization, pin-by-pin calculation requires even greater storage requirements of homogenization parameters. In order to reduce the number and storage scale of pin-by-pin homogenization parameters in high fidelity numerical calculations of reactor physics, and improve the practicality of high-fidelity numerical calculation methods, this paper was based on clustering methods and studied the number and clustering characteristics of typical assemblies in pressurized water reactors. Firstly, this paper conducted a study on the number and characteristics of clustering, focusing on typical fuel assemblies of pressurized water reactors, multiple clustering features and numbers were studied, fast and thermal flux ratio, fission sigma and thermal flux were chosen as clustering features, and it was determined that using the fast and heat flux ratio as the clustering feature and 5 as the clustering number were appropriate. In response to the phenomenon that using only one clustering feature may lead to clustering pins of different material types into one cluster, based on the fact that the material of the pin-cell is the most important feature of clustering, a significant deviation was introduced, therefore, this paper proposed a multi-level clustering method of “classification first and then clustering”, and this method can significantly improve the stability of clustering; Secondly, based on the traditional homogenization theory, derived three different homogenization methods of clustering, and compared the accuracy and data compressing efficacy of the three methods, this paper derived the methods of clustering region super homogenization and clustering pin-by-pin super homogenization. The clustering pin-by-pin super homogenization method can ensure the conservation of reaction rate before and after clustering, while reducing storage scale; Once again, this paper established a clustering-based method for compressing the pin-by-pin homogenization parameters of pressurized water reactor. This method establishes a whole process from assembly calculation to compressing the pin-by-pin homogenization parameters; Finally, the clustering effect of this method was verified on the HPR1000 core model, including the typical burnup of the HPR1000 core. The research results indicate that for the core problem of HPR1000 reactor, this method can ensure high accuracy and significantly reduce the scale of pin-by-pin homogenization parameters. Therefore, the pin-by-pin homogenization parameter compression method established in this study can be used to compress the pin-by-pin homogenization parameters of pressurized water reactors, reducing their storage scale.

     

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