Final Report for the NERI Project Page: 3 of 70
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104~105 iterations before an optimal configuration is attained. Furthermore, through a
separate backward diffusion theory algorithm, the power peaking constraints are
rigorously satisfied. The optimization algorithm for SFR transmuter cases systematically
yields an optimized core configuration with a reduced power peaking factor and lower
reactivity swing over a fuel cycle. Similarly, the PWR optimization algorithm applied to
the AP600 design yields a lower radial peaking factor than that presented in the Standard
Safety Analysis Report, together with a reduced number of BA rods required. This
implies that the improved design allows for (a) a higher power density, (b) an increased
cycle length due to a reduction in the residual BA penalty at EOC, and (c) savings in the
BA cost. Two doctoral dissertations were completed under Task 1.
Publications resulting from Task 1 are listed below:
1. R. T. Sorensen, J. C. Davis, and J. C. Lee, "Systematic Method for Optimizing
Plutonium Transmutation in LWRs," Trans. Am. Nucl. Soc., 95, 217 (2006).
2. J. C. Lee, J. C. Davis, and R. T. Sorensen, "TRU Transmuters for Nuclear Fuel Cycle
Optimization," Poster presentation, Computational Engineering and Science
Conference, Washington DC (April 2007).
3. J. C. Davis and J. C. Lee, "Optimizing SFR Transmutation Through Direct Adjoining
Control Theory," Trans. Am. Nucl. Soc., 97, 96 (2007).
4. J. C. Davis, N. W. Touran, and J. C. Lee, "SFR Fuel Cycle Optimization Using Direct
Adjoining Control Theory," to be submitted for publication in Nucl. Sci. Eng.
Task 2. Development of equilibrium cycle method for PWR configurations
As part of the overall effort of the project to optimize the global nuclear fuel cycle, we
developed a systematic search methodology for equilibrium cycle configurations in
PWRs. In few-group macroscopic fuel depletion calculations typically performed for
PWR fuel cycle analyses, equilibrium cycle configurations would require repetitive
transition fuel cycle calculations slowly approaching an asymptotic configuration. To
expedite the approach to an equilibrium cycle, we developed a method that extracts few-
group microscopic reaction rates from lattice physics calculations, which may then be
used to arrive at an approximate asymptotic configuration. Through the use of
microscopic reactions rates, we are able to arrive at a balanced excore cycle for each set
of lattice physics calculations and the corresponding macroscopic cross section libraries.
Once the excore nuclide balance is satisfied, we perform a new set of CPM-3 calculations
to update the microscopic reaction rates. This process is repeated for a fixed fuel loading
pattern to arrive at an equilibrium cycle, resulting in a significant reduction in the number
of repetitive lattice-physics depletion calculations required for convergence to an
equilibrium cycle. We developed the equilibrium cycle methodology for both assembly-
level calculations, via a linear reactivity model, and global 3-D diffusion theory
Publications resulting from Task 2 are listed below:
1. R. T. Sorensen and J. C. Lee, "LWR Equilibrium Cycle Search Methodology for
Global Fuel Cycle Analysis," Trans. Am. Nucl. Soc., 93, 622 (2005).
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Lee, John C. Final Report for the NERI Project, report, March 31, 2009; United States. (digital.library.unt.edu/ark:/67531/metadc929116/m1/3/: accessed September 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.