A Simple Formula for Local Burnup and Isotope Distributions Based on Approximately Constant Relative Reaction Rate
A Simple Formula for Local Burnup and Isotope Distributions Based on Approximately Constant Relative Reaction Rate
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基于近似恒定相对反应速率的局部燃耗和同位素分布的简单公式
DOI：
10.1155/2016/6980547
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发表时间：
2015-07
影响因子：
1.1
通讯作者：
Shengli Chen
中科院分区：
文献类型：
--
作者：
Cenxi Yuan;Xuming Wang;Shengli Chen
提出了一个简单的解析公式来解决局部燃耗和同位素分布问题。本方法考虑了中子穿透燃料棒的两种极端条件。基于这些考虑，得到了计算 235U、238U 和 239Pu 反应速率的公式，并直观地了解了局部燃耗和同位素分布。从初始燃耗水平开始，公式的参数适合蒙特卡罗 (MC) 计算给出的反应速率。然后，本公式独立地给出与从起始燃耗水平到高燃耗水平的 MC 计算非常相似的结果，但只需要几分钟。发现相对反应速率几乎与半径（238U 除外）和燃耗无关，为本公式提供了坚实的背景。当燃料棒位于组件中时，还会进行更实际的检查。本公式与 MC 计算的结合有望在数值精度和时间消耗之间取得良好的平衡。
A simple and analytical formula is suggested to solve the problems of the local burnup and the isotope distributions. The present method considers two extreme conditions of neutrons penetrating the fuel rod. Based on these considerations, the formula is obtained to calculate the reaction rates of 235U, 238U, and 239Pu and straightforward the local burnup and the isotope distributions. Starting from an initial burnup level, the parameters of the formula are fitted to the reaction rates given by a Monte Carlo (MC) calculation. Then the present formula independently gives very similar results to the MC calculation from the starting to high burnup level but takes just a few minutes. The relative reaction rates are found to be almost independent of the radius (except of 238U) and the burnup, providing a solid background for the present formula. A more realistic examination is also performed when the fuel rods locate in an assembly. A combination of the present formula and the MC calculation is expected to have a nice balance between the numerical accuracy and time consumption.
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影响因子：
1.9
作者：
A. Soba;M. Lemes;M. E. González;A. Denis;L. Romero
通讯作者：
A. Soba;M. Lemes;M. E. González;A. Denis;L. Romero
影响因子：
3.1
作者：
Y. Koo;Byung‐Ho Lee;J. Cheon;D. Sohn
通讯作者：
Y. Koo;Byung‐Ho Lee;J. Cheon;D. Sohn
影响因子：
1.7
作者：
V. D. Marcello;A. Schubert;J. V. D. Laar;P. V. Uffelen
通讯作者：
V. D. Marcello;A. Schubert;J. V. D. Laar;P. V. Uffelen
DOI：
10.1017/cbo9781139207249.009
发表时间：
2012
期刊：
--
影响因子：
--
作者：
W. Marsden
通讯作者：
W. Marsden
影响因子：
3.1
作者：
C. Yuan;C. Qi;F. Xu;Toshio Suzuki;T. Otsuka
通讯作者：
C. Yuan;C. Qi;F. Xu;Toshio Suzuki;T. Otsuka