基于超细群ESSM的少群截面产生方法

Few-group Cross-section Generation Method Based on ESSM with Ultra-fine Group Method

  • 摘要: 随着新域新质能力的加速发展,新型反应堆的设计更加多样化,鉴于应用环境的限制,核动力空间堆、深海无人潜航器需要高度紧凑的核反应堆堆芯结构,对应的堆外控制体、燃料单元的异形结构都给传统反应堆物理计算方法提出了挑战。本文基于先进反应堆中子学分析计算程序系统SARAX开展复杂组件截面产生方法研究,开发了二维组件精细建模功能,采用超细群方法进行共振计算,采用基于嵌入自屏法结合特征线固定源求解计算背景截面,利用MOC求解器进行输运计算,进而产生堆用少群截面。以某热管反应堆方案为例,与连续能量的蒙特卡罗程序结果进行对比验证。计算结果显示,基于新方法获得的少群截面计算组件kinf与蒙特卡罗程序的偏差在200 pcm以内,堆芯keff偏差为−243 pcm。对于热管反应堆两套控制系统的棒价值计算,安全棒价值与参考解的相对偏差为−2.36%,滑动反射层价值与参考解的相对偏差为−0.31%,计算精度与蒙特卡罗程序吻合良好。同时,比较了ESSM与改进Tone方法的计算结果与计算效率,在保证计算精度的前提下,基于超细群ESSM的少群截面产生方法的共振计算效率提高到原先的3倍。

     

    Abstract: With the accelerated development of new domains and capabilities, the design of novel reactors has become increasingly diverse. Constrained by application environments, compact core structures are required for space reactors and underwater unmanned vehicles (UUV). Correspondingly, the heterogeneity of external control rods and fuel assemblies poses challenges to traditional reactor physics calculation methods. In the context of the two-step deterministic calculation scheme, the accuracy of core neutronics calculations is largely dictated by the precision of homogenized few-group cross-sections. This study investigates complex assembly cross-section generation methods based on the advanced reactor neutronics analysis program system, SARAX. The SARAX system consists of the cross-section generation module TULIP and the core calculation module LAVENDER. Building upon the existing calculation algorithms of the cross-section generation code TULIP, a two-dimensional assembly fine modeling function was developed. Resonance self-shielding calculations were performed using the ultra-fine group method featuring a 1 968 group energy structure. Background cross-sections were calculated using the embedded self-shielding method (ESSM) coupled with a method of characteristics (MOC) fixed-source solver. Neutron transport calculations were performed using the MOC solver to obtain neutron flux distributions of various angular orders. Subsequently, spatial homogenization and energy group condensation were executed based on the 1 968 group neutron spectrum to generate few-group cross-sections for core calculations. A specific heat pipe reactor (HPR) scheme was selected as an example to validate the proposed method against continuous energy Monte Carlo reference solutions. This HPR scheme featured a square lattice arrangement of fuel pins and heat pipes, incorporating ex-core control systems. Since this reactor core assemblies could not be equivalently modeled as one-dimensional rings, two-dimensional assembly codes were required for detailed modeling. Numerical results demonstrate that the deviation in the assembly infinite multiplication factor (kinf) calculated using the new few-group cross-sections remains within 200 pcm compared to the Monte Carlo code, while the deviation in the core effective multiplication factor (keff) is −243 pcm. Regarding the reactivity worth of the two control systems in the heat pipe reactor, the safety rod worth exhibits a −2.36% relative deviation from the reference solution, and the sliding reflector worth shows a −0.31% relative deviation. The computational accuracy demonstrates excellent agreement with the Monte Carlo code. Furthermore, over a 5 years reactor core life, the deviation in core keff remains within a stable range as burnup depth increases. Additionally, a comparative analysis of computational accuracy and efficiency is conducted between the ESSM and the improved Tone’s method. While maintaining computational accuracy, the resonance calculation efficiency of the few-group cross-section generation method based on the ESSM with ultra-fine group is enhanced by a factor of three compared to the improved Tone’s method.

     

/

返回文章
返回