CRAM在放射性核素存量计算中的应用

张竞宇; 马亚栋; 陈义学; 高强

doi:10.11889/j.0253-3219.2017.hjs.40.080502

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CRAM在放射性核素存量计算中的应用

核物理、交叉学科研究 | 更新时间：2021-05-19

- CRAM在放射性核素存量计算中的应用
- Application of Chebyshev rational approximation method in inventory calculation of radioactive nuclides
- 核技术 2017年40卷第8期文章编号：080502
- 作者机构：
  
  1.华北电力大学核科学与工程学院北京 102206
  2.环境保护部核与辐射安全中心北京 100082
- 作者简介：
  
  [ "张竞宇, 男, 1984年出生, 2013年于清华大学获博士学位, 研究领域为核反应堆燃料燃耗/材料活化计算", "ZHANG Jingyu, male, born in 1984, graduated from Tsinghua University with a doctoral degree in 2013, focusing on the calculation of fuel depletion/material activation" ]
  高强, E-mail:gaoqiang@chinansc.cnGAO Qiang, E-mail:gaoqiang@chinansc.cn
- 基金信息：
  
  国家自然科学基金(11605058);国际热核聚变实验堆计划专项(2014GB119000);中央高校基本科研业务费专项资金(2017MS041)
- DOI：10.11889/j.0253-3219.2017.hjs.40.080502
  中图分类号： TL99
- 收稿日期：2017-01-20，
  
  修回日期：2017-03-24，
  
  纸质出版日期：2017-08-10
- 稿件说明：
移动端阅览
张竞宇, 马亚栋, 陈义学, 等. CRAM在放射性核素存量计算中的应用[J]. 核技术, 2017,40(8):080502

Jingyu ZHANG, Yadong MA, Yixue CHEN, et al. Application of Chebyshev rational approximation method in inventory calculation of radioactive nuclides[J]. Nuclear techniques, 2017, 40(8): 080502
张竞宇, 马亚栋, 陈义学, 等. CRAM在放射性核素存量计算中的应用[J]. 核技术, 2017,40(8):080502 DOI： 10.11889/j.0253-3219.2017.hjs.40.080502.

Jingyu ZHANG, Yadong MA, Yixue CHEN, et al. Application of Chebyshev rational approximation method in inventory calculation of radioactive nuclides[J]. Nuclear techniques, 2017, 40(8): 080502 DOI： 10.11889/j.0253-3219.2017.hjs.40.080502.

摘要

在反应堆中，组成材料的稳定核素经受强中子辐照后，会被活化成放射性核素。这些核素及其衰变产物对工作人员的职业辐照剂量具有重要贡献。为了更好地进行人员的辐射防护工作，需要对放射性核素的存量进行精确计算。相对于核素平衡方程的其它求解方法，切比雪夫有理逼近方法（Chebyshev Rational Approximation Method，CRAM）在计算精度和效率方面具有综合性优势。首先介绍了CRAM的基本理论，随后选取典型的例题进行了测试验证。与解析解对比的结果表明，采用CRAM进行中子辐照下的核素活化衰变计算能够取得不错的效果，但是用于核素长期衰变计算可能导致计算错误。针对此问题，将收缩乘方技术与CRAM相结合，取得了正确的计算结果，拓展了CRAM的适用范围。

Abstract

Background

The material suffering from strong neutron irradiation in the nuclear reactor will be activated to be radioactive nuclides. These nuclides and their decay products contribute a significant part to the occupational radiation exposure (ORE) of personnel.

Purpose

For better radiation protection of the workers in nuclear reactor

it is supposed to calculate the inventory of radioactive nuclides accurately.

Methods

Compared with other methods for solving the equilibrium equations of nuclides

the Chebyshev rational approximation method (CRAM) has comprehensive advantages on computational accuracy and efficiency. In this paper

the theory of CRAM method is described firstly

and then some typical cases are tested to verify CRAM method.

Results & Conclusion

Compared with the analytical solution

CRAM method shows good effect on activation and decay calculation of nuclides under neutron irradiation

but may cause obvious error on long-term decay calculation of nuclides. After coupling with technique of scaling and squaring

CRAM method can derive accurate results for long-term decay calculation of nuclides and its scope of application is extended.

关键词

Keywords

references

李璐 , 张竞宇 , 郭庆洋 , . 水冷聚变堆主回路活化产物源项计算分析 . 核技术 , 2016 . 39 ( 11 ): 110603 DOI: 10.11889/j.0253-3219.2016.hjs.39.110603 http://doi.org/10.11889/j.0253-3219.2016.hjs.39.110603 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract678.shtml .

Lu LI , Jingyu ZHANG , Qingyang GUO , . Calculation and analysis of activation products source term in water-cooled fusion reactor primary circuit . Nuclear Techniques , 2016 . 39 ( 11 ): 110603 DOI: 10.11889/j.0253-3219.2016.hjs.39.110603 http://doi.org/10.11889/j.0253-3219.2016.hjs.39.110603 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract678.shtml .

石巍 , 曾勤 , 李卫 , . CFETR第一壁及赤道面外包层中子辐照损伤初步分析 . 核技术 , 2016 . 39 ( 12 ): 120602 DOI: 10.11889/j.0253-3219.2016.hjs.39.120602 http://doi.org/10.11889/j.0253-3219.2016.hjs.39.120602 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract689.shtml .

Wei SHI , Qin ZENG , Wei LI , . Primary analysis of radiation damage on first wall and the outboard blanket on equatorial plane for CFETR . Nuclear Techniques , 2016 . 39 ( 12 ): 120602 DOI: 10.11889/j.0253-3219.2016.hjs.39.120602 http://doi.org/10.11889/j.0253-3219.2016.hjs.39.120602 http://www.j.sinap.ac.cn/hejishu/CN/abstract/abstract689.shtml .

X W Lyu , X B Xia , Z H Zhang , . Analysis of tritium production in a 2 MW liquid-fueled molten salt experimental reactor and its environmental impact . Nuclear Science and Techniques , 2016 . 27 ( 4 ): 78 DOI: 10.1007/s41365-016-0100-z http://doi.org/10.1007/s41365-016-0100-z .

J Cetnar . General solution of bateman equations for nuclear transmutations . Annals of Nuclear Energy , 2006 . 33 ( 7 ): 640 - 645 . DOI: 10.1016/j.anucene.2006.02.004 http://doi.org/10.1016/j.anucene.2006.02.004 .

吴明宇 , 王事喜 , 杨勇 , . 回溯算法在燃耗计算中的应用 . 原子能科学技术 , 2013 . 47 ( 7 ): 1127 - 1132 . DOI: 10.7538/yzk.2013.47.07.1127 http://doi.org/10.7538/yzk.2013.47.07.1127 .

Mingyu WU , Shixi WANG , Yong YANG , . Application of backtracking algorithm to depletion calculations . Atomic Energy Science and Technology , 2013 . 47 ( 7 ): 1127 - 1132 . DOI: 10.7538/yzk.2013.47.07.1127 http://doi.org/10.7538/yzk.2013.47.07.1127 .

G Croff . Origen2:a versatile computer code for calculating the nuclide compositions and characteristics of nuclear materials . Nuclear Technology , 1983 . 62 335 - 352 . DOI: 10.13182/NT83-1 http://doi.org/10.13182/NT83-1 .

J Leppänen , M Pusa , T Viitanen . The serpent Monte Carlo code:status, development and applications in 2013 . Annals of Nuclear Energy , 2015 . 82 142 - 150 . DOI: 10.1016/j.anucene.2014.08.024 http://doi.org/10.1016/j.anucene.2014.08.024 .

D She , K Wang , G L Yu . Development of the point-depletion code DEPTH . Nuclear Engineering and Design , 2013 . 258 ( 17 ): 235 - 240 . DOI: 10.1016/j.nucengdes.2013.01.007 http://doi.org/10.1016/j.nucengdes.2013.01.007 .

M Pusa , J Leppanen . Computing the matrix exponential in burnup calculations . Nuclear Science and Engineering , 2010 . 164 ( 2 ): 140 - 150 . DOI: 10.13182/NSE09-14 http://doi.org/10.13182/NSE09-14 .

W J Cody , G Meinardus , R S Varga . Chebyshev rational approximation to exp(- x ) in[0, +∞] and applications to heat conduction problems . Journal of Approximation Theory , 1969 . 2 ( 1 ): 50 - 65 . DOI: 10.1016/0021-9045(69)90030-6 http://doi.org/10.1016/0021-9045(69)90030-6 .

A J Carpenter , A Ruttan , R S Varga . Extended numerical computations on the "1/9" conjecture in rational approximation theory . Lecture Notes in Mathematics , 1984 . 1105 ( 4 ): 383 - 411 . DOI: 10.1007/BFb0072427 http://doi.org/10.1007/BFb0072427 .

L N Trefethen , J A C Weideman , T Schmelzer . Talbot quadratures and rational approximations . BIT Numerical Mathematics , 2006 . 46 ( 3 ): 653 - 670 . DOI: 10.1007/s10543-006-0077-9 http://doi.org/10.1007/s10543-006-0077-9 .

M Pusa . Higher-order Chebyshev rational approximation method and application to burnup equations . Nuclear Science and Engineering , 2016 . 182 ( 3 ): 297 - 318 . DOI: 10.13182/NSE15-26 http://doi.org/10.13182/NSE15-26 .

C Moler , C V Loan . Nineteen dubious ways to compute the exponential of a matrix . SIAM Review , 1978 . 20 ( 4 ): 801 - 836 . DOI: 10.1137/1020098 http://doi.org/10.1137/1020098 .

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