Application of Chebyshev rational approximation method in inventory calculation of radioactive nuclides

Jingyu ZHANG; Yadong MA; Yixue CHEN; Qiang GAO

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

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Application of Chebyshev rational approximation method in inventory calculation of radioactive nuclides

NUCLEAR PHYSICS, INTERDISCIPLINARY RESEARCH | 更新时间：2021-05-19

- Application of Chebyshev rational approximation method in inventory calculation of radioactive nuclides
- NUCLEAR TECHNIQUES Vol. 40, Issue 8, Article number: 080502(2017)
- 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：
- 基金信息：
  
  National Natural Science Foundation of China;National Special Project for Magnetic Confined Nuclear Fusion Energy;the Fundamental Research Funds for the Central Universities
- DOI：10.11889/j.0253-3219.2017.hjs.40.080502
  CLC： TL99
- Received：20 January 2017，
  
  Revised：24 March 2017，
  
  Published：10 August 2017
- 稿件说明：
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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：

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

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