TY - JOUR
T1 - Contribution to BWR stability analysis. Part II
T2 - Numerical approach using a reduced order model
AU - Suárez-Ántola, Roberto
AU - Flores-Godoy, José Job
PY - 2014/5
Y1 - 2014/5
N2 - Using the reduced order model and its related analysis done in Suárez-Ántola and Flores-Godoy (submitted for publication), we study some aspects of the onset of power oscillations using numerical methods and digital simulations. From the analytical results we illustrate the usefulness of asymptotic methods to describe the change in behavior of the decay ratio and frequency of oscillations near the stability boundary in the reactor's parameter space. We study through a dynamical simulation a supercritical Hopf bifurcation in the global mode when the effect of the regional mode on the global mode is neglected. We found that the uncoupled and linearized dynamics of the regional mode is closed related with a non-normal operator. Some of the possible consequences of the non-normality are studied using digital techniques reintroducing the effect of the regional mode on the global mode. A comparison between experimental data and predictions obtained from the present reduced order model is presented.
AB - Using the reduced order model and its related analysis done in Suárez-Ántola and Flores-Godoy (submitted for publication), we study some aspects of the onset of power oscillations using numerical methods and digital simulations. From the analytical results we illustrate the usefulness of asymptotic methods to describe the change in behavior of the decay ratio and frequency of oscillations near the stability boundary in the reactor's parameter space. We study through a dynamical simulation a supercritical Hopf bifurcation in the global mode when the effect of the regional mode on the global mode is neglected. We found that the uncoupled and linearized dynamics of the regional mode is closed related with a non-normal operator. Some of the possible consequences of the non-normality are studied using digital techniques reintroducing the effect of the regional mode on the global mode. A comparison between experimental data and predictions obtained from the present reduced order model is presented.
KW - Boiling water reactors
KW - Digital simulations
KW - In-phase and Out-of-phase oscillations
KW - Mathematical modeling
KW - Reduced order models
KW - Stability theory
UR - http://www.scopus.com/inward/record.url?scp=84894650949&partnerID=8YFLogxK
U2 - 10.1016/j.anucene.2013.11.028
DO - 10.1016/j.anucene.2013.11.028
M3 - Artículo
AN - SCOPUS:84894650949
SN - 0306-4549
VL - 67
SP - 146
EP - 153
JO - Annals of Nuclear Energy
JF - Annals of Nuclear Energy
ER -