Suboptimal Control of Point Reactors by Using Singular Perturbation Theory

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概要

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• A systematic method is pr-esented which synthesizes suboptimal control in the regulator problem occasioned upon the deviation of a point reactor from equilibrium. The method is based on the singular perturbation theory with advantage taken of the small ratio existing between the mean life time of the prompt neutron and the total delayed-neutron fraction. The idea of time separation is applied to the boundary layers at both ends of the control period, which yields a uniformly valid solution in the form of an asymptotic series for the control and for the neutron density trajectory. The limits of error are given for the series solution thus derived. The method is shown to bring about considerable reductions in the demands on both computer time and memory through elimination of the stiffness inherent in the original system. Some numerical examples are presented to demonstrate the validity of the proposed method. A similar formulation can be applied also to the problem of control during a change of power level, when considered as a tracking problem.

• 一般社団法人 日本原子力学会の論文

著者

• HATTORI Yoshio

  Institute of Atomic Energy, Kyoto University

• ASATANI Koichi

  Musashino Electrical Communication Laboratory, Nippon Telegraph and Telephone Public Corporation

• SHIOTANI Masahiro

  Institute of Atomic Energy, Kyoto University

関連論文

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