Nuclear Techniques ›› 2017, Vol. 40 ›› Issue (8): 80502-080502.doi: 10.11889/j.0253-3219.2017.hjs.40.080502


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

ZHANG Jingyu1, MA Yadong1, CHEN Yixue1, GAO Qiang2   

  1. 1. School of Nuclear Science and Engineering, North China Electric Power University, Beijing 102206, China;
    2. Nuclear and Radiation Safety Centre, Ministry of Environmental Protection, Beijing 100082, China
  • Received:2017-01-20 Revised:2017-03-24 Online:2017-08-10 Published:2017-08-11
  • Supported by:
    Supported by National Natural Science Foundation of China (No.11605058),National Special Project for Magnetic Confined Nuclear Fusion Energy (No.2014GB119000),the Fundamental Research Funds for the Central Universities (No.2017MS041)

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.

Key words: CRAM, Radioactive nuclides, Inventory calculation, Scaling and squaring

CLC Number: 

  • TL99