Optimal Control of Nuclear Reactor Systems

Wiberg, Donald M.

doi:10.1016/b978-1-4831-6718-3.50011-6

Cited by 31 publications

(2 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, we develop a number of reduced-order models that make use of domain decomposition techniques. Although these methods are demonstrated on a relatively simple reactor problem (a 1D version of the KAIST benchmark [27]), the aim is to further develop them and apply them to a more challenging problem, such as 2D, 3D, problems with large numbers of energy groups or control problems, e.g., Wiberg [28,29].…”

Section: Introductionmentioning

confidence: 99%

Reduced-Order Modelling with Domain Decomposition Applied to Multi-Group Neutron Transport

et al. 2021

View full text Add to dashboard Cite

Solving the neutron transport equations is a demanding computational challenge. This paper combines reduced-order modelling with domain decomposition to develop an approach that can tackle such problems. The idea is to decompose the domain of a reactor, form basis functions locally in each sub-domain and construct a reduced-order model from this. Several different ways of constructing the basis functions for local sub-domains are proposed, and a comparison is given with a reduced-order model that is formed globally. A relatively simple one-dimensional slab reactor provides a test case with which to investigate the capabilities of the proposed methods. The results show that domain decomposition reduced-order model methods perform comparably with the global reduced-order model when the total number of reduced variables in the system is the same with the potential for the offline computational cost to be significantly less expensive.

show abstract

Section: Introductionmentioning

confidence: 99%

Reduced-Order Modelling with Domain Decomposition Applied to Multi-Group Neutron Transport

et al. 2021

View full text Add to dashboard Cite

show abstract

“…in order to obtain a system of time-dependent ordinary dif ferential equations. Wiberg (16) utilized such an approxima tion in analyzing the problem of controlling xenon spatial oscillations. A general formulation of the problem was de rived using the classical calculus of variations.…”

Section: IImentioning

confidence: 99%