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A Modal Expansion Equilibrium Cycle Perturbation Method for Optimizing Fast Reactors

Nicholas W. Touran, John C. Lee

Nuclear Science and Engineering / Volume 179 / Number 1 / January 2015 / Pages 85-103

Technical Paper / dx.doi.org/10.13182/NSE13-85

Updated:December 17, 2014

We developed a simulation tool that accelerates the evaluation of design changes on the equilibrium cycle of fast-spectrum nuclear reactors. Within the tool, an implicit equilibrium cycle search is accelerated by a modal expansion perturbation method that expands arbitrary flux perturbations on a large basis of λ-eigenmode harmonics. The harmonics are computed only at the reference state using Krylov subspace iterative methods, and substantial perturbations from this state are shown to be well approximated by computationally efficient algebraic expressions. The modal expansion method is coupled to the equilibrium method to produce the later-in-time response of each design perturbation, resulting in an explicit perturbation-accelerated equilibrium cycle method. Because the method determines the perturbed flux explicitly, a wide variety of core performance metrics may be tracked within optimization frameworks, including the performance of thermal hydraulics, fuel, economics, core mechanical, and transients. This capability strongly differentiates the method from traditional generalized perturbation theory approaches. The motivating end-use of the method is to evaluate objective functions in multidisciplinary optimization of advanced reactor designs, though many other applications are envisioned.

 
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