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  4. Interpretation of in-phase and out-of-phase BWR oscillations using an extended reduced order model and semi-analytical bifurcation analysis
 
research article

Interpretation of in-phase and out-of-phase BWR oscillations using an extended reduced order model and semi-analytical bifurcation analysis

Dokhane, A.
•
Hennig, D.
•
Rizwan, uddin
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2007
Annals of Nuclear Energy

An extended reduced order model is presented and applied to analyze global and regional oscillations in BWRs. Stability and semianalytical bifurcation analyses are performed using this model in conjunction with the bifurcation code BIFDD to determine the stability limits for both in-phase and out-of-phase oscillation modes and the nature of Poincare-Andronov-Hopf bifurcation. The results obtained show that both sub- and supercritical PAH bifurcations are encountered in different regions of the parameter space. An in-depth investigation of the properties of the elements of the eigenvectors associated with these two modes of oscillation is carried out. Results show that these eigenvectors provide information as regards the corresponding oscillation mode (in-phase or out-of-phase) without solving the set of system ODEs. The analysis clearly brings out the fact that in-phase and out-of-phase oscillations are whole-system mechanisms. A clear distinction is thereby made between these oscillation modes, on the one hand, and the fundamental and first azimuthal neutronics modes on the other hand. (c) 2007 Published by Elsevier Ltd.

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Type
research article
DOI
10.1016/j.anucene.2006.12.005
Web of Science ID

WOS:000246715800004

Author(s)
Dokhane, A.
Hennig, D.
Rizwan, uddin
Chawla, R.  
Date Issued

2007

Publisher

Elsevier

Published in
Annals of Nuclear Energy
Volume

34

Issue

4

Start page

271

End page

87

Subjects

bifurcation

•

eigenvalues and eigenfunctions

•

fission reactor cooling

•

fission reactor kinetics

•

neutron flux

•

nonlinear differential equations

•

nuclear engineering computing

•

oscillations

Note

Lab. for Reactor Phys. Syst. Behavior, Paul Scherrer Inst., Villigen, Switzerland

Editorial or Peer reviewed

REVIEWED

Written at

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Available on Infoscience
April 16, 2008
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/22431
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