Investigation of nonlinear xenon oscillation by method of averaging

Journal Article · Sat Dec 01 04:00:00 EST 1973 · J. Nucl. Energy, v. 27, no. 12, pp. 839-855

DOI:https://doi.org/10.1016/0022-3107(73)90030-0· OSTI ID:4351460

Asahi, Y; Akcasu, A Z

A nonlinear analysis of xenon-temperature controlled nuclear reactor dynamics is presented. The set of equations in question belongs to a general class of rate equations with quadratic nonlinearities. Boundedness of the solutions is examined. The mean value of periodic solutions for the flux is shown to be always less than the equilibrium value. The Bogoliubov's method of averaging as extended by Case (Unpublished, University of Michigan, 1963) is applied to obtain approximate solutions. The mechanism of the existence of relaxation-oscillations in the linear stability region is analyzed. Computer calculations are performed and found in good agreement with the approximate solutions obtained by means of the method of averaging. (auth)

• Research Organization: Univ. of Michigan, Ann Arbor
• NSA Number: NSA-29-020254
• OSTI ID: 4351460
• Journal Information: J. Nucl. Energy, v. 27, no. 12, pp. 839-855, Journal Name: J. Nucl. Energy, v. 27, no. 12, pp. 839-855; ISSN JNUCA
• Country of Publication: United Kingdom
• Language: English

Related Subjects

*REACTOR KINETICS EQUATIONS-- XENON
*REACTOR STABILITY-- XENON
*XENON-- OSCILLATIONS
COMPUTER CALCULATIONS
EQUILIBRIUM
N79100* --Reactors--Reactor Theory & Calculation
REACTIVITY
REACTOR KINETICS
TEMPERATURE DEPENDENCE