THE STABILITY OF HOMOGENEOUS NUCLEAR REACTORS WITH NON-LINEAR REACTIVITY DEPENDENCE ON TEMPERATURE
Technical Report
·
OSTI ID:4843267
ABS>Presented at the European Atomic Energy Society Symposium on Safety, Control and Instrumentation of Zero Energy and Sub-Critical Assemblies, Bournemouth, June 28The stability and instability properties of homogeneous nuclear reactors with a single temperature coefficient of reactivity which is temperature dependent were studied by means of Liapounoff's Second Method. The special case of a ten temperature coefficient linearly dependent on temperature was solved completely and it is shown that all solution are bounded and tend asymptotically to a constant if the reactivity is negative for very large values of temperature. In some conditions, the reactor has two stable equilibrium points (bistable). (auth)
- Research Organization:
- European Nuclear Energy Agency, Paris
- NSA Number:
- NSA-15-028742
- OSTI ID:
- 4843267
- Report Number(s):
- NP-10560
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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