Non-Linear Stability Analysis of Real Signals from Nuclear Power Plants (Boiling Water Reactors) Based on Noise Assisted Empirical Mode Decomposition Variants and the Shannon Entropy

There are currently around 78 nuclear power plants (NPPs) in the world based on Boiling Water Reactors (BWRs). The current parameter to assess BWR instability issues is the linear Decay Ratio (DR). However, it is well known that BWRs are complex non-linear dynamical systems that may even exhibit chaotic dynamics that normally preclude the use of the DR when the BWR is working at a specific operating point during instability. In this work a novel methodology based on an adaptive Shannon Entropy estimator and on Noise Assisted Empirical Mode Decomposition variants is presented. This methodology was developed for real-time implementation of a stability monitor. This methodology was applied to a set of signals stemming from several NPPs reactors (Ringhals-Sweden, Forsmark-Sweden and Laguna Verde-Mexico) under commercial operating conditions, that experienced instabilities events, each one of a different nature.

[1]  Alfonso Prieto-Guerrero,et al.  Stability monitor for Boiling Water Reactors based on the Multivariate Empirical Mode Decomposition , 2015 .

[2]  J. Muñoz-Cobo,et al.  In-phase instabilities in BWR with sub-cooled boiling, direct heating, and spacers effects , 2016 .

[3]  Richard T. Lahey,et al.  ON THE ANALYSIS OF VARIOUS INSTABILITIES IN TWO-PHASE FLOWS , 1989 .

[4]  Imre Pázsit,et al.  Determination of reactor stability in case of dual oscillations , 1995 .

[5]  Gustavo Alonso,et al.  Determination of Limit Cycles Using Both the Slope of Correlation Integral and Dominant Lyapunov Methods , 2004 .

[6]  Suneet Singh,et al.  On nonlinear dynamics of density wave oscillations in a channel with non-uniform axial heating , 2017 .

[7]  G. Espinosa-Paredes,et al.  Wavelet-Based Method for Instability Analysis in Boiling Water Reactors , 2005 .

[8]  G. Espinosa-Paredes,et al.  Using Largest Lyapunov Exponent to Confirm the Intrinsic Stability of Boiling Water Reactors , 2016 .

[9]  Hualou Liang,et al.  Intrinsic mode entropy based on multivariate empirical mode decomposition and its application to neural data analysis , 2011, Cognitive Neurodynamics.

[10]  D. P. Mandic,et al.  Multivariate empirical mode decomposition , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[11]  Chengwei Li,et al.  A Comparative Study of Empirical Mode Decomposition-Based Filtering for Impact Signal , 2016, Entropy.

[12]  D. Hennig,et al.  Interpretation of in-phase and out-of-phase BWR oscillations using an extended reduced order model and semi-analytical bifurcation analysis , 2007 .

[13]  Patrick Flandrin,et al.  A complete ensemble empirical mode decomposition with adaptive noise , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[14]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[15]  Time dependence of linear stability parameters of a BWR , 2003 .

[16]  Gilberto Espinosa-Paredes,et al.  Time–scale BWR stability analysis using wavelet-based method , 2006 .

[17]  G. Espinosa-Paredes,et al.  Decay Ratio Estimation of BWR Signals Based on Wavelet Ridges , 2008 .

[18]  K. Knuth Optimal Data-Based Binning for Histograms , 2006, physics/0605197.

[19]  Maysam F. Abbod,et al.  Application of Multivariate Empirical Mode Decomposition and Sample Entropy in EEG Signals via Artificial Neural Networks for Interpreting Depth of Anesthesia , 2013, Entropy.

[20]  Chih-Yuan Tseng,et al.  Entropic Interpretation of Empirical Mode Decomposition and its Applications in Signal Processing , 2010, Adv. Data Sci. Adapt. Anal..

[21]  Patrick Flandrin,et al.  Noise-Assisted EMD Methods in Action , 2012, Adv. Data Sci. Adapt. Anal..

[22]  J. Ortiz-Servin,et al.  A stability assessment of optimum Fuel Reload Patterns for a BWR , 2016 .

[23]  Periodically-forced density wave oscillations in boiling flow at low forcing frequencies: Nonlinear dynamics and control issues , 2016 .

[24]  Suneet Singh,et al.  A density variant drift flux model for density wave oscillations , 2014 .

[25]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..

[26]  Alfonso Prieto-Guerrero,et al.  Decay Ratio estimation in BWRs based on the improved complete ensemble empirical mode decomposition with adaptive noise , 2017 .

[27]  E. Gialdi,et al.  Core stability in operating BWR: operational experience , 1985 .

[28]  Danilo P. Mandic,et al.  Filter Bank Property of Multivariate Empirical Mode Decomposition , 2011, IEEE Transactions on Signal Processing.

[29]  V. Pandey,et al.  Characterization of stability limits of Ledinegg instability and density wave oscillations for two-phase flow in natural circulation loops , 2017 .

[30]  E. D. Blakeman,et al.  A mechanism for out-of-phase power instabilities in boiling water reactors , 1991 .

[31]  T. V. D. Hagen,et al.  Questioning the use of the decay ratio in BWR stability monitoring , 2000 .

[32]  Gilberto Espinosa-Paredes,et al.  Wavelet approach for analysis of neutronic power using data of Ringhals stability benchmark , 2007 .

[33]  C. Moreno Boiling water reactor instability analysis using attractor characteristics , 2016 .

[34]  G. Espinosa-Paredes,et al.  Decay Ratio estimation in boiling water reactors based on the empirical mode decomposition and the Hilbert–Huang transform , 2014 .

[35]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[36]  Alfonso Prieto-Guerrero,et al.  Non-linear boiling water reactor stability with Shannon Entropy , 2017 .

[37]  U. Rajendra Acharya,et al.  Application of Entropy Measures on Intrinsic Mode Functions for the Automated Identification of Focal Electroencephalogram Signals , 2015, Entropy.

[38]  Y. Kawahara,et al.  Application of Continuous and Structural ARMA modeling for noise analysis of a BWR coupled core and plant instability event , 2015 .

[39]  J. Blázquez,et al.  The Laguna verde BWR/5 instability event. Some lessons learnt , 2003 .

[40]  María Eugenia Torres,et al.  Improved complete ensemble EMD: A suitable tool for biomedical signal processing , 2014, Biomed. Signal Process. Control..

[41]  T.H.J.J. van der Hagen,et al.  An experimental parametric study on natural circulation BWRs stability , 2017 .

[42]  I. Pázsit,et al.  Wavelet techniques for the determination of the decay ratio in boiling water reactors , 2007 .