Nuclear Techniques ›› 2018, Vol. 41 ›› Issue (7): 70604-070604.doi: 10.11889/j.0253-3219.2018.hjs.41.070604


Monte Carlo critical boron concentration search method based on adjoint flux

BI Xuanxuan1,2, SUN Guangyao1, HAO Lijuan1, SONG Jing1, HU Liqin1,2   

  1. 1. Key Laboratory of Neutronics and Radiation Safety, Institute of Nuclear Energy Safety Technology, Chinese Academy of Sciences, Hefei 230031, China;
    2. University of Science and Technology of China, Hefei 230026, China
  • Received:2017-09-30 Revised:2018-03-23 Online:2018-07-10 Published:2018-07-07
  • Supported by:
    Supported by National Natural Science Foundation of China (No.11605233), National Special Program for ITER (No.2014GB112000), President of Chinese Academy of Sciences Foundation for Young Spark Project (No.YZJJ201618)

Abstract: [Background] Critical boron concentration search is considered as an important part of reactor design and analysis, but traditional search method requires multiple criticality calculations, hence low efficiency. [Purpose] In order to overcome the disadvantages of the traditional search method, a highly efficient Monte Carlo critical boron concentration search method is developed and verified. [Methods] First of all, the critical boron concentration search is treated as a perturbation problem. Then the adjoint flux method is adopted for perturbation calculation whilst the adjoint flux is calculated by the iterated fission probability method in the Monte Carlo simulation. The adjoint flux and the effective multiplication factor on the boron concentration response coefficients of the initial state can be obtained by only one criticality calculation, and the critical boron concentration is directly derived from the response coefficients. Finally verification is made on the standard Westinghouse 17×17 assembly model. [Results] The numerical results of verification show a good agreement with reference results. [Conclusion] This method can be effectively applied to critical boron concentration search.

Key words: Criticality search, Adjoint flux, Iterated fission probability, Perturbation, SuperMC

CLC Number: 

  • TL99