Nuclear Engineering and Technology

  • 제51권6호
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  • Pages.1479-1486
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  • 2019
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  • 1738-5733(pISSN)
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  • 2234-358X(eISSN)
한국원자력학회 (Korean Nuclear Society)
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High accurate three-dimensional neutron noise simulator based on GFEM with unstructured hexahedral elements

  • 투고 : 2018.12.05
  • 심사 : 2019.04.07
  • 발행 : 2019.09.25
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초록

The purpose of the present study is to develop the 3D static and noise simulator based on Galerkin Finite Element Method (GFEM) using the unstructured hexahedral elements. The 3D, 2G neutron diffusion and noise equations are discretized using the unstructured hexahedral by considering the linear approximation of the shape function in each element. The validation of the static calculation is performed via comparison between calculated results and reported data for the VVER-1000 benchmark problem. A sensitivity analysis of the calculation to the element type (unstructured hexahedral or tetrahedron elements) is done. Finally, the neutron noise calculation is performed for the neutron noise source of type of variable strength using the Green function technique. It is shown that the error reduction in the static calculation is considerable when the unstructured tetrahedron elements are replaced with the hexahedral ones. Since the neutron flux distribution and neutron multiplication factor are appeared in the neutron noise equation, the more accurate calculation of these parameters leads to obtaining the neutron noise distribution with high accuracy. The investigation of the changes of the neutron noise distribution in axial direction of the reactor core shows that the 3D neutron noise analysis is required instead of 2D.

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과제정보

연구 과제 주관 기관 : Sharif University of Technology

참고문헌

  1. M.M.R. Williams, Random Processes in Nuclear Reactors, Elsevier, 2013.
  2. J. Thomas Jr., J. Herr, D. Wood, Noise analysis method for monitoring the moderator temperature coefficient of pressurized water reactors: I. Theory, Nucl. Sci. Eng. 108 (4) (1991) 331-340. https://doi.org/10.13182/NSE90-42
  3. C. Demaziere, I. Pazsit, G. Por, Evaluation of the boron dilution method for moderator temperature coefficient measurements, Nucl. Technol. 140 (2) (2002) 147-163. https://doi.org/10.13182/NT02-A3329
  4. C. Demaziere, G. Andhill, Identification and localization of absorbers of variable strength in nuclear reactors, Ann. Nucl. Energy 32 (8) (2005) 812-842. https://doi.org/10.1016/j.anucene.2004.12.011
  5. S.A. Hosseini, N. Vosoughi, On a various noise source reconstruction algorithms in VVER-1000 reactor core, Nucl. Eng. Des. 261 (2013) 132-143. https://doi.org/10.1016/j.nucengdes.2013.03.034
  6. C. Demaziere, Development of a 2-D 2-group neutron noise simulator, Ann. Nucl. Energy 31 (6) (2004) 647-680. https://doi.org/10.1016/j.anucene.2003.08.007
  7. V. Larsson, et al., Neutron noise calculations using the Analytical Nodal Method and comparisons with analytical solutions, Ann. Nucl. Energy 38 (4) (2011) 808-816. https://doi.org/10.1016/j.anucene.2010.11.017
  8. H.N. Tran, C. Demaziere, Neutron noise calculations in hexagonal geometry and comparison with analytical solutions, Nucl. Sci. Eng. 175 (3) (2013) 340-351. https://doi.org/10.13182/NSE12-49
  9. H.N. Tran, et al., A multi-group neutron noise simulator for fast reactors, Ann. Nucl. Energy 62 (2013) 158-169. https://doi.org/10.1016/j.anucene.2013.06.017
  10. S.A. Hosseini, N. Vosoughi, Neutron noise simulation by GFEM and unstructured triangle elements, Nucl. Eng. Des. 253 (2012) 238-258. https://doi.org/10.1016/j.nucengdes.2012.08.023
  11. S.A. Hosseini, N. Vosoughi, J. Vosoughi, Neutron noise simulation using ACNEM in the hexagonal geometry, Ann. Nucl. Energy 113 (2018) 246-255. https://doi.org/10.1016/j.anucene.2017.11.037
  12. S.A. Hosseini, F. Saadatian-Derakhshandeh, Galerkin and Generalized Least Squares finite element: a comparative study for multi-group diffusion solvers, Prog. Nucl. Energy 85 (2015) 473-490. https://doi.org/10.1016/j.pnucene.2015.07.009
  13. S.A. Hosseini, N. Vosoughi, Development of 3D neutron noise simulator based on GFEM with unstructured tetrahedron elements, Ann. Nucl. Energy 97 (2016) 132-141. https://doi.org/10.1016/j.anucene.2016.07.006
  14. G.I. Bell, S. Glasstone, Nuclear Reactor Theory, US Atomic Energy Commission, Washington, DC (United States), 1970.
  15. S. Itoh, A fundamental study of neutron spectra unfolding based on the maximum likelihood method, Nucl. Instrum. Methods Phys. Res. Sect. A Accel. Spectrom. Detect. Assoc. Equip. 251 (1) (1986) 144-155. https://doi.org/10.1016/0168-9002(86)91161-7
  16. S.A. Hosseini, N. Vosoughi, Noise source reconstruction using ANN and hybrid methods in VVER-1000 reactor core, Prog. Nucl. Energy 71 (2014) 232-247. https://doi.org/10.1016/j.pnucene.2013.12.007
  17. I. Pazsit, O. Glockler, On the neutron noise diagnostics of PWR control rod vibration, I. Periodic vibrations, Nucl. Sci. Eng. 85 (1984) 167-177.
  18. H. Rathod, B. Venkatesudu, K. Nagaraja, Gauss legendre quadrature formulas over a tetrahedron, Numer. Methods Part. Differ. Equ.: Int. J. 22 (1) (2006) 197-219. https://doi.org/10.1002/num.20095
  19. G. Schulz, Solutions of a 3D VVER-1000 benchmark, in: Proc. 6-th Symposium of AER on VVER Reactor Physics and Safety, Kirkkonummi, Finland, 1996.
  20. S.A. Hosseini, Development of Galerkin finite element method threedimensional computational code for the multigroup neutron diffusion equation with unstructured tetrahedron elements, Nucl. Eng. Technol. 48 (1) (2016) 43-54. https://doi.org/10.1016/j.net.2015.10.009
  21. S.A. Hosseini, I.E.P. Afrakoti, Neutron noise source reconstruction using the Adaptive Neuro-Fuzzy Inference System (ANFIS) in the VVER-1000 reactor core, Ann. Nucl. Energy 105 (2017) 36-44. https://doi.org/10.1016/j.anucene.2017.02.015