On the asymptotic stability of nuclear reactors with arbitrary feedback

Journal Article · Mon Jul 01 04:00:00 EDT 1985 · Nucl. Sci. Eng.; (United States)

OSTI ID:6496546

Enginol, T B

A sufficient condition for the asymptotic stability of nuclear reactors in terms of the equilibrium power level and delayed neutron parameters is presented. The integrodifferential point kinetics equation for an autonomous reactor with an arbitrary nonlinear feedback is written in the quasilinear form Q + w/sup 2/Q = ef(Q,Q). The averaging principle is applied to investigate the stability of the amplitude of the fundamental harmonic of the true nonlinear series solution of this equation. Using a related theorem, a stability criterion is obtained, which is found to be somewhat more general tha some previously proposed criteria.

• Research Organization: Bogazici University, Department of Nuclear Engineering Istanbul
• OSTI ID: 6496546
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 90:2; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
BARYONS
BOUNDARY CONDITIONS
CRITICALITY
DELAYED NEUTRONS
ELEMENTARY PARTICLES
EQUATIONS
EQUILIBRIUM
FEEDBACK
FERMIONS
FISSION NEUTRONS
HADRONS
KINETICS
NEUTRONS
NONLINEAR PROBLEMS
NUCLEONS
POWER DENSITY
POWER REACTORS
QUASILINEAR PROBLEMS
REACTOR KINETICS
REACTOR KINETICS EQUATIONS
REACTOR STABILITY
REACTORS
STABILITY