2023-03-24T14:55:17Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/717532022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Perturbation theory for nuclear fuel depletion calculations with predictor-corrector methodChiba, GoNuclear fuel depletiondepletion perturbation theorypredictor-corrector method539The perturbation theory for nuclear fuel depletion calculations with the predictor-corrector method is derived. This theory is implemented to a reactor physics code system CBZ, and the theory itself and its implementation are numerically verified. Sensitivities of nuclide number densities after fuel depletion with respect to nuclear data calculated with this theory are compared with reference sensitivities calculated by numerical differentiation, and good agreements are obtained. Importance of accurate angle integration on product of neutron flux and generalized adjoint neutron flux is also pointed out. Sensitivities in a 3x3 multi-cell system including a gadolinium-bearing fuel pin are calculated, and it is demonstrated that the derived theory yields accurate sensitivities even if coarse depletion time step division is adopted. The present work drastically increases the applicability of the depletion perturbation theory to actual problems.Taylor & FrancisJournal Articleapplication/pdfhttp://hdl.handle.net/2115/71753https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/71753/1/paper.pdf0022-3131Journal of nuclear science and technology5532903002017-10-31enginfo:doi/10.1080/00223131.2017.1394233This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of nuclear science and technology on 31 Oct 2017, available online: http://www.tandfonline.com/10.1080/00223131.2017.1394233.author