Multidimensional Effects in Optimal Control Calculations for Time-Dependent Nuclear Systems
type: CreativeWork
description: 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 the method of reduced dimensional control is derived to allow systems of this type to be analyzed using generalized optimality conditions. Distributed parameter optimal control is shown to be a special case of this theory. Reduced dimensional control is shown to be adequate for the analysis of most optimality problems where there are differences in the number of dimensions on which the state variables are defined. The method is then applied to a xenon-iodine oscillation problem in two dimensions. A step function control rod model is examined and compared with an axially homogeneous model. The conditions of optimality are found, and analytical insights concerning the importance of the control rod tip for the optimality condition are obtained. The optimality and normalization conditions are solved numerically for a severe xenon transient. Differences are noted between the cases which can be directly attributed to the proper axial modeling of the control rod.
abstract: 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 the method of reduced dimensional control is derived to allow systems of this type to be analyzed using generalized optimality conditions. Distributed parameter optimal control is shown to be a special case of this theory. Reduced dimensional control is shown to be adequate for the analysis of most optimality problems where there are differences in the number of dimensions on which the state variables are defined. The method is then applied to a xenon-iodine oscillation problem in two dimensions. A step function control rod model is examined and compared with an axially homogeneous model. The conditions of optimality are found, and analytical insights concerning the importance of the control rod tip for the optimality condition are obtained. The optimality and normalization conditions are solved numerically for a severe xenon transient. Differences are noted between the cases which can be directly attributed to the proper axial modeling of the control rod.
author: Wyss, Gregory Dane
keywords: Engineering, Nuclear
date published: 2014-12-16T04:17:42Z
date modified: 2026-07-22T22:26:03Z
provider: University of Illinois - Urbana-Champaign
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Illinois at Urbana-Champaign

PropertyValue
property ID: Handle
value: http://hdl.handle.net/2142/70910