Flux Renormalization in Constant Power Burnup Calculations
Abstract
To more accurately represent the desired power in a constant power burnup calculation, the depletion steps of the calculation can be divided into substeps and the neutron flux renormalized on each substep to match the desired power. Here, this paper explores how such renormalization should be performed, how large a difference it makes, and whether using renormalization affects results regarding the relative performance of different neutronics–depletion coupling schemes. When used with older coupling schemes, renormalization can provide a considerable improvement in overall accuracy. With previously published higher order coupling schemes, which are more accurate to begin with, renormalization has a much smaller effect. Finally, while renormalization narrows the differences in the accuracies of different coupling schemes, their order of accuracy is not affected.
 Authors:

 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 (Finland)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Nuclear Energy (NE); Finnish Research Program
 OSTI Identifier:
 1354645
 Alternate Identifier(s):
 OSTI ID: 1324002
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Annals of Nuclear Energy (Oxford)
 Additional Journal Information:
 Journal Name: Annals of Nuclear Energy (Oxford); Journal Volume: 96; Journal ID: ISSN 03064549
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS; 97 MATHEMATICS AND COMPUTING; Burnup calculations; Renormalization; Substeps; Constant power depletion
Citation Formats
Isotalo, Aarno E., Aalto Univ., Otaniemi, Davidson, Gregory G., Pandya, Tara M., Wieselquist, William A., and Johnson, Seth R.. Flux Renormalization in Constant Power Burnup Calculations. United States: N. p., 2016.
Web. https://doi.org/10.1016/j.anucene.2016.05.031.
Isotalo, Aarno E., Aalto Univ., Otaniemi, Davidson, Gregory G., Pandya, Tara M., Wieselquist, William A., & Johnson, Seth R.. Flux Renormalization in Constant Power Burnup Calculations. United States. https://doi.org/10.1016/j.anucene.2016.05.031
Isotalo, Aarno E., Aalto Univ., Otaniemi, Davidson, Gregory G., Pandya, Tara M., Wieselquist, William A., and Johnson, Seth R.. Wed .
"Flux Renormalization in Constant Power Burnup Calculations". United States. https://doi.org/10.1016/j.anucene.2016.05.031. https://www.osti.gov/servlets/purl/1354645.
@article{osti_1354645,
title = {Flux Renormalization in Constant Power Burnup Calculations},
author = {Isotalo, Aarno E. and Aalto Univ., Otaniemi and Davidson, Gregory G. and Pandya, Tara M. and Wieselquist, William A. and Johnson, Seth R.},
abstractNote = {To more accurately represent the desired power in a constant power burnup calculation, the depletion steps of the calculation can be divided into substeps and the neutron flux renormalized on each substep to match the desired power. Here, this paper explores how such renormalization should be performed, how large a difference it makes, and whether using renormalization affects results regarding the relative performance of different neutronics–depletion coupling schemes. When used with older coupling schemes, renormalization can provide a considerable improvement in overall accuracy. With previously published higher order coupling schemes, which are more accurate to begin with, renormalization has a much smaller effect. Finally, while renormalization narrows the differences in the accuracies of different coupling schemes, their order of accuracy is not affected.},
doi = {10.1016/j.anucene.2016.05.031},
journal = {Annals of Nuclear Energy (Oxford)},
number = ,
volume = 96,
place = {United States},
year = {2016},
month = {6}
}
Web of Science