Stability of Coupled-Core Nuclear Reactors: Selected Exact Results

[+] Author and Article Information
S. J. Gage

Nuclear Engineering Program, Department of Mechanical Engineering, The University of Texas, Austin, Texas

F. T. Adler

Department of Physics, University of Illinois, Urbana, Ill.

J. Basic Eng 89(2), 283-286 (Jun 01, 1967) (4 pages) doi:10.1115/1.3609596 History: Received August 03, 1966; Online November 03, 2011


Exact analytical stability criteria are derived for the coupled-core kinetics equations. Four approximate models for describing the time distribution of the coupling neutrons are considered and a theorem proved by Pontryagin is used to establish the asymptotic stability of the systems. The criterion based on the Single Delta Function Model is compared with the one based on the Single Step Function Model.

Copyright © 1967 by ASME
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