Non-linear Proper Orthogonal Decomposition Reduced Order Modeling: Bifurcation Study of a Natural Convection Circuit |
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| Authors: | Dennis P Prill Andreas G Class |
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| Institution: | Karlsruhe Institute of Technology, Areva Nuclear Professional School (ANPS), Hermann-von Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany |
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| Abstract: | 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) |
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