Application development of RPT module based on OpenMC for double-heterogeneous system
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摘要: 由于基体中有着大量随机分布的弥散颗粒，双重非均匀系统具有复杂的几何结构，传统中子学计算方法往往难以处理双重非均匀系统，反应性等效物理转换（RPT）方法是常用的近似处理方法。通过分析RPT方法的三个关键步骤：精确初始值的求解、等效半径的求解、燃耗算法的选取，探讨了各步骤采用不同算法对RPT方法效率和精度的影响，并基于OpenMC在Python应用程序接口之上开发了RPT模块。数值结果表明，优化后的RPT模块，在保持良好计算效率的同时，也能满足工程计算精度的需要。
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关键词:
- OpenMC /
- 双重非均匀系统 /
- 弥散颗粒燃料 /
- 反应性等效物理转换方法
Abstract: Due to the large number of randomly distributed dispersed particles in the matrix, the double heterogeneous (DH) system has a complex geometric structure, and it is often difficult to deal with the DH system using the traditional neutronics calculation method. The reactivity equivalent physical transformation (RPT) method is a commonly used approximation method. This paper analyzes the three key steps of the RPT method: the solution of the exact initial value, the solution of the equivalent radius, and the selection of the depletion algorithm. The influence of different algorithms on the efficiency and accuracy of the RPT method is discussed. Based on OpenMC, an RPT module is developed on the Python API. The numerical results show that the optimized RPT module can meet the needs of engineering calculation accuracy while maintaining good calculation efficiency. -
图 1 反应性等效物理转换方法示意图
Figure 1. Schematic diagram of reactivity equivalent physical transformation method
图 5 采用传统方法与RPT模块搜索等效半径效果对比图
Figure 5. Comparison of the effect of searching equivalent radius between traditional method and RPT module
图 6 RPT模块处理双重非均匀系统时Kinf及反应性偏差随燃耗的变化
Figure 6. Variation of Kinf and reactivity deviation with depletion using RPT module to deal with DH system
表 1 棒状几何燃料栅元主要参数
Table 1. Main parameters of fuel pin
pitch/cm radius
of fuel
region/cmthickness
of air
gas/cmmaterial
of
matrixmatrix
enrichment
ratio/%density of
matrix/
(g·cm−3)material
of
cladding/cmthickness of
zirconium
cladding/cmdensity of
zirconium cladding/
(g·cm−3)density of
moderate H2O/
(g·cm−3)temperature/K 1.26 0.4096 0.0084 UO2 20 10.5 Zr 0.057 6.5 1.0 300 
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表 2 随机弥散毒物颗粒模型参数
Table 2. Parameters of dispersed poison particles
material of particles radius of particles/μm volumetric fraction of particles/% density of fuel particles/(g·cm−3) B4C 100/215 5 1.9 Er2O3 100/215 5 8.6
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表 3 不同晶格划分方法对弥散颗粒系统计算的影响
Table 3. Effects of different lattice partition methods on the calculation of dispersed particle system
lattice division
methodcomputing time/s Kinf volumetric fraction 5% volumetric fraction 10% volumetric fraction 5% volumetric fraction 10% 1×1×1(no lattice) 5868.359 17236.021 1.45644 1.61679 3×3×3 732.663 1639.056 1.45538 1.61731 5×5×5 376.934 769.323 1.45602 1.61757 7×7×7 270.646 503.730 1.45558 1.61638 10×10×10 177.279 262.550 1.45651 1.61755 13×13×13 174.607 247.808 1.45698 1.61752 15×15×15 177.633 246.969 1.45634 1.61741 17×17×17 182.233 254.476 1.45673 1.61613 19×19×19 200.549 260.858 1.45546 1.61734 21×21×21 206.945 271.748 1.45615 1.61748
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表 4 OpenMC生成颗粒时间
Table 4. Particle generation time of OpenMC
volumetric
fraction/%particle
numberconsumption
time/s5 5033 0.67583202 10 10066 1.49383474 20 20132 3.50719374 30 30198 17.73238749 40 40265 156.2571
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