Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 1: Reduced order model

doi:https://doi.org/10.1016/j.anucene.2018.08.032

Title: Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 1: Reduced order model

Full Record
Other Related Research

Abstract

Previous neutronic/thermal-hydraulic (TH) coupled numerical simulations using full-core TRACE/PARCS and SIMULATE-3K BWR models have shown evidence of a specific “rotating mode” behavior (steady rotation of the symmetry line, i.e. constant phase shift of approximately 90° between the first two azimuthal modes) in out-of-phase limit cycle oscillations, regardless of initial conditions and even if the first two azimuthal modes have different natural frequencies. This suggests a nonlinear coupling between these modes; otherwise, the phase shift between these modes would change at a constant rate during the limit cycle. The goal of the present work is to gain further insights on the rotating mode behavior using a simplified mathematical model which contains all of the important physics for this application while providing sufficient flexibility and simplicity to allow for in-depth understanding of the underlying phenomena. This was accomplished using a multi-channel, multi-modal reduced-order model, using a modification of the fixed pressure drop boundary condition to simulate channel coupling via the inlet and outlet plena, in order to destabilize the out-of-phase mode over the in-phase mode. Examination of the time-dependent solution of the nonlinear system showed a clear preference for rotating mode behavior in the four-channel model under stand-alone TH conditions and formore »« less

Authors:

^[1]; Manera, Annalisa ^[2]; Downar, Thomas ^[2]; March-Leuba, Jose ^[3]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of Michigan, Ann Arbor, MI (United States)
MRU, Knoxville, TN (United States)

Publication Date:: 2018-09-14

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1481708

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Annals of Nuclear Energy (Oxford)

Additional Journal Information:: Journal Volume: 122; Journal Issue: C; Journal ID: ISSN 0306-4549

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 22 GENERAL STUDIES OF NUCLEAR REACTORS; BWR stability; Limit cycle; Rotating mode; Out-of-phase oscillations; Reduced-order model

Citation Formats


                    Wysocki, Aaron J., Manera, Annalisa, Downar, Thomas, and March-Leuba, Jose. Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 1: Reduced order model.  United States: N. p., 2018. 
        Web.  doi:10.1016/j.anucene.2018.08.032.

Copy to clipboard


                    Wysocki, Aaron J., Manera, Annalisa, Downar, Thomas, & March-Leuba, Jose. Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 1: Reduced order model.  United States.  https://doi.org/10.1016/j.anucene.2018.08.032

Copy to clipboard


                    Wysocki, Aaron J., Manera, Annalisa, Downar, Thomas, and March-Leuba, Jose. Fri .  
        "Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 1: Reduced order model".  United States.  https://doi.org/10.1016/j.anucene.2018.08.032.  https://www.osti.gov/servlets/purl/1481708.

Copy to clipboard


                    
@article{osti_1481708,

  title        = {Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 1: Reduced order model},

  author       = {Wysocki, Aaron J. and Manera, Annalisa and Downar, Thomas and March-Leuba, Jose},

  abstractNote = {Previous neutronic/thermal-hydraulic (TH) coupled numerical simulations using full-core TRACE/PARCS and SIMULATE-3K BWR models have shown evidence of a specific “rotating mode” behavior (steady rotation of the symmetry line, i.e. constant phase shift of approximately 90° between the first two azimuthal modes) in out-of-phase limit cycle oscillations, regardless of initial conditions and even if the first two azimuthal modes have different natural frequencies. This suggests a nonlinear coupling between these modes; otherwise, the phase shift between these modes would change at a constant rate during the limit cycle. The goal of the present work is to gain further insights on the rotating mode behavior using a simplified mathematical model which contains all of the important physics for this application while providing sufficient flexibility and simplicity to allow for in-depth understanding of the underlying phenomena. This was accomplished using a multi-channel, multi-modal reduced-order model, using a modification of the fixed pressure drop boundary condition to simulate channel coupling via the inlet and outlet plena, in order to destabilize the out-of-phase mode over the in-phase mode. Examination of the time-dependent solution of the nonlinear system showed a clear preference for rotating mode behavior in the four-channel model under stand-alone TH conditions and for conditions with weak neutronic feedback. Furthermore, when neutronic feedback was strengthened (i.e., larger reactivity feedback coefficients), the side-to-side mode (stationary symmetry line) was favored instead. Additional analyses using higher-fidelity numerical modeling, as well as a physical explanation for the rotating behavior seen in both sets of analyses, will be provided in a companion paper (“Part 2”).},

  doi          = {10.1016/j.anucene.2018.08.032},

  url          = {https://www.osti.gov/biblio/1481708},
  journal      = {Annals of Nuclear Energy (Oxford)},

  issn         = {0306-4549},

  number       = C,

  volume       = 122,

  place        = {United States},

  year         = {2018},

  month        = {9}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1016/j.anucene.2018.08.032

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 1 work

Citation information provided by
Web of Science

Similar records in OSTI.GOV collections:

Investigation of rotating mode behavior in BWR out-of-phase limit cycle oscillations – Part 2: TRACE/PARCS model and physical explanation

Journal Article Wysocki, Aaron J. ; Manera, Annalisa ; Downar, Thomas ; ... - Annals of Nuclear Energy (Oxford)

Previous neutronic/thermal-hydraulic (TH) coupled numerical simulations using full-core TRACE/PARCS and SIMULATE-3K boiling water reactor (BWR) models have shown evidence of a specific “rotating mode” behavior (steady rotation of the symmetry line, i.e. constant phase shift of approximately 90° between the first two azimuthal modes) in BWR out-of-phase limit cycle oscillations, regardless of initial conditions and even if the first two azimuthal modes have different natural frequencies. This suggests a nonlinear coupling between these modes; otherwise, the phase shift between these modes would change at a constant rate during the limit cycle. The previous paper (“Part 1”) presented a series ofmore »« less
https://doi.org/10.1016/j.anucene.2018.08.033

Full Text Available
On BWR regional oscillations with rotational symmetry line using SIMULATE-3K

Conference Dokhane, A. ; Ferroukhi, H. ; Pautz, A.

A new stability analysis methodology is being developed at the Paul Scherrer Institute (PSI) using the best-estimate coupled neutronic/thermal- hydraulics code, SIMULATE-3K (S3K). This methodology has so far been validated against Leibstadt NPP (KKL) stability tests of C10, C13 and C19, which all show global (in-phase) oscillations. However, the methodology has not yet been validated for regional instabilities and to that aim, a special KKL cycle 07 stability test was selected. Indeed, during this test, the core not only showed growing power oscillation amplitudes in an out-of-phase regime but also an oscillating and rotating symmetry line. Thereby, it was selectedmore »« less
Development of a fully-consistent reduced order model to study instabilities in boiling water reactors

Conference Dykin, V. ; Demaziere, C.

A simple nonlinear Reduced Order Model to study global, regional and local instabilities in Boiling Water Reactors is described. The ROM consists of three submodels: neutron-kinetic, thermal-hydraulic and heat-transfer models. The neutron-kinetic model allows representing the time evolution of the three first neutron kinetic modes: the fundamental, the first and the second azimuthal modes. The thermal-hydraulic model describes four heated channels in order to correctly simulate out-of-phase behavior. The coupling between the different submodels is performed via both void and Doppler feedback mechanisms. After proper spatial homogenization, the governing equations are discretized in the time-domain. Several modifications, compared to othermore »« less
A HIGH EFFICIENCY, ULTRA-COMPACT PROCESS FOR PRE-COMBUSTION CO ₂ CAPTURE

Technical Report Tsotsis, Theodore T

The key objective of this lab-scale study was to prove the technical feasibility of the membrane- and adsorption-enhanced water gas shift (WGS) reaction process that employs a carbon molecular sieve (CMS) membrane reactor (MR) followed by an adsorption reactor (AR) for pre-combustion carbon dioxide (CO ₂) capture, while demonstrating progress towards achievement of the overall fossil energy performance goals of 90% CO ₂ capture rate with 95% CO ₂ purity, at a cost of electricity of 30% less than the baseline capture approaches. Such a WGS system combining a MR and an AR in tandem can produce an ultra-pure hydrogenmore »« less
https://doi.org/10.2172/1526847

Full Text Available
Model-independent particle accelerator tuning

Journal Article Scheinker, Alexander ; Pang, Xiaoying ; Rybarcyk, Larry - Physical Review Special Topics. Accelerators and Beams

We present a new model-independent dynamic feedback technique, rotation rate tuning, for automatically and simultaneously tuning coupled components of uncertain, complex systems. The main advantages of the method are: 1) It has the ability to handle unknown, time-varying systems, 2) It gives known bounds on parameter update rates, 3) We give an analytic proof of its convergence and its stability, and 4) It has a simple digital implementation through a control system such as the Experimental Physics and Industrial Control System (EPICS). Because this technique is model independent it may be useful as a real-time, in-hardware, feedback-based optimization scheme formore »« less
Cited by 7
https://doi.org/10.1103/PhysRevSTAB.16.102803

Full Text Available

Similar Records