Multidimensional effects in optimal control analysis for nuclear reactors

Gregory D. Wyss, Roy A. Axford

Research output: Contribution to journalConference articlepeer-review


Physically realistic step function control rod models are shown to be unsolvable under traditional formulations of distributed parameter optimal control theory. Extensions to the theory are proposed and derived to allow these systems to be analyzed using straightforward optimality conditions. The extended theory is then applied to a xenon-iodine oscillation problem in two dimensions. The conditions of optimality are found, and analytical insights concerning the importance of the control rod tip for the optimality condition are obtained. The flux influence function is found by solving an eigenvalue problem, and the required normalization condition is found in one of the optimality conditions. The optimality and normalization conditions are solved numerically for a severe xenon transient, and the transient is stabilized by the intervention of the optimal control.

Original languageEnglish (US)
Pages (from-to)458-466
Number of pages9
JournalNuclear Science and Engineering
Issue number4
StatePublished - 1988
EventPapers Presented at the International Topical Meeting on Advances in Reactor Physics, Mathematics and Computation - Paris, Fr
Duration: Apr 27 1987Apr 30 1987

ASJC Scopus subject areas

  • Nuclear Energy and Engineering


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