适用于高通量堆的一步法计算方法研究与应用

Research and Application of One-step Computational Method for High Flux Reactor

  • 摘要: 高通量反应堆作为多用途辐照装置,其优化设计产生的能谱复杂性给中子学计算带来巨大困难。为解决这一问题,本文提出一种适用于高通量反应堆的应用在线能群归并的一步法计算方案。首先,选用超细群结构在精细几何基础上完成共振计算。然后,结合低阶散射源项近似,执行数次源迭代计算,获得低阶近似通量。再后,使用低阶近似通量和超细群总截面,近似高阶通量,并完成多群高阶截面归并。最后,进行多群高阶计算,获得特征值信息和通量分布信息。本文对两种高通量堆设计展开验证,并分析了方案对选用的多群能群结构的敏感性。数值结果显示,在172群结构条件下,采用本方案计算得到的特征值偏差均低于136 pcm;快/热中子通量分布和通量密度最大值对能群结构不敏感,快/热中子通量密度最大值相对误差均低于1.5%;辐照孔道通量形状预测精度与能群结构和材料本身性质相关,对大多能群通量相对误差低于5%。说明本文提出的方案可用于高通量堆中子学数值模拟计算。

     

    Abstract: High flux reactors, as versatile irradiation facilities, have significant applications in various fields such as neutron scattering research, isotope production, and material irradiation testing. However, due to their unique design, different regions of the core exhibit markedly different energy spectrum characteristics. At the same time, two-dimensional full-core-scale high-order transport calculations require a large amount of memory. Therefore, due to current hardware limitations, it is not feasible to perform full-core-scale high-order transport calculations based on ultra-fine group structures. To address these issues, this paper proposes a one-step calculation scheme with online energy group condensation suitable for high flux reactors. In this paper, firstly, an ultra-fine group structure of 2165 groups was selected to complete resonance calculations on fine geometric modeling. Secondly, combined with the low-order scattering source term approximation, only a few source iteration calculations were performed to obtain the low-order approximate flux. Then, the low-order approximate flux and the ultra-fine group total cross-sections were used to calculate the approximate high-order flux and complete the multi-group high-order cross-section condensation. Finally, the high-order approximate flux and multi-group high-order cross-sections were used for multi-group high-order calculations to obtain eigenvalue information and flux distribution information. The method based on two high flux reactor designs was verified and the sensitivity of the selected multi-group energy structure to this calculation scheme was analyzed. The calculation results show that under the 172-group structure, the eigenvalue deviations obtained by using this calculation scheme for the two core designs are both below 136 pcm. At the same time, it can be seen that in this test problem, the fast/thermal neutron flux distribution and flux density peaks are insensitive to the energy group structure, and the relative errors of the fast/thermal neutron flux density peaks for both core designs are below 1.5%. The calculation accuracy of the irradiation channel flux shape is related to the energy group structure and the properties of the materials themselves. In this test, the relative errors of most group fluxes are below 5%. Based on this, it can be seen that the calculation scheme proposed in this paper can effectively solve the memory limitation problem in two-dimensional full-core-scale high-order transport calculations and is suitable for neutron numerical simulation calculations in high flux reactors with high computational accuracy.

     

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