1967•Journal of Basic EngineeringRequires access

Stability of Coupled-Core Nuclear Reactors: Selected Exact Results

S.J. Gage, F.T. Adler

Abstract

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.

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Key concepts: Stability (learning theory), Coupling (piping), Applied mathematics, Mathematics, Core (optical fiber), Exponential stability, Function (biology), Nuclear reactor core