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arXiv:2308.13348 · Journal of Physics Conference Series

Quantum and quantum-inspired optimization for an in-core fuel management problem

Sergey R. Usmanov, G V Salakhov, A. A. Bozhedarov, Evgeniy O. Kiktenko, Aleksey K. Fedorov

Published Feb 1, 2024• 2 citations
arXivHTMLPDF

Abstract

Abstract Operation management of nuclear power plants consists of several computationally hard problems. Searching for an in-core fuel loading pattern is among them. The main challenge of this combinatorial optimization problem is the exponential growth of the search space with a number of loading elements. Here we study a reloading problem in a Quadratic Unconstrained Binary Optimization (QUBO) form. Such a form allows us to apply various techniques, including quantum annealing, classical simulated annealing, and quantum-inspired algorithm in order to find fuel reloading patterns for several realistic configurations of nuclear reactors. We present the results of benchmarking the in-core fuel management problem in the QUBO form using the aforementioned computational techniques. This work demonstrates potential applications of quantum computers and quantum-inspired algorithms in the energy industry.

DOI
10.1088/1742-6596/2701/1/012031

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A method for mapping quadratic unconstrained binary optimizations expressed as nearest neighbor stencils onto contemporary quantum annealing machines is developed. The method is shown to be scalable in providing higher utilization of annealing hardware resources than prior work. Applying the technique to the problem of determining an effective fuel loading pattern for nuclear reactors shows that densely mapped quantum stencils result in higher fidelity solutions of optimization problems then the sparser default solutions. These results are likely to generalize to quadratic unconstrained binary optimizations that can be expressed as dense quantum stencils, thereby improving optimization results obtained from noisy quantum devices.
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An efficient fuel arrangement must be generated by PWR operators every 6–18 months. This complex problem has been extensively researched with two broad approaches, heuristic and stochastic methods becoming accepted. This initial study qualitatively introduces the concept of encoding full-core PWR fuel loading patterns into a form suitable for quantum annealing. The concepts of adiabatic quantum computers and quantum annealing are introduced and a surrogate model encoding of a set of heuristics for loading pattern design produced in a form suitable for use in present-day quantum annealers. The simulated results show significant similarity to benchmark loading patterns.