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Non‐linear Proper Orthogonal Decomposition Reduced Order Modeling: Bifurcation Study of a Natural Convection Circuit
Author(s) -
Prill Dennis P.,
Class Andreas G.
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310138
Subject(s) - bifurcation , natural convection , boiling , mechanics , perturbation (astronomy) , control theory (sociology) , convection , boiling water reactor , computer science , flow (mathematics) , statistical physics , nuclear engineering , physics , thermodynamics , engineering , nonlinear system , quantum mechanics , artificial intelligence , control (management)
Boiling water reactors (BWRs) not only show growing power oscillations at high‐power low‐flow conditions but also amplitude limited oscillations with temporal flow reversal. Methodologies, applicable in the non‐linear regime, allow insight into the physical mechanisms behind BWR dynamics. The present paper aims at a general non‐linear methodology capable to achieve reliable and numerical stable reduced order models (ROMs). Model‐specific options and prediction capabilities are adressed and illustrated by means of two strongly non‐linear dynamical systems: Firstly, the tubular reactor (TR), treated as a generic “pathologic” test case for perturbation investigations violating the inlet conditions, and secondly, the natural convection in a closed circuit (NCC), considered due to dynamical similarities to BWRs. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)