Linear and Non-Linear Stability Analysis in Boiling Water Reactors - 1st Edition - ISBN: 9780081024454

Linear and Non-Linear Stability Analysis in Boiling Water Reactors

1st Edition

The Design of Real-time Stability Monitors

Authors: Alfonso Prieto Guerrero Gilberto Espinosa Paredes
Paperback ISBN: 9780081024454
Imprint: Woodhead Publishing
Published Date: 1st October 2018
Page Count: 350
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Table of Contents

1. Introduction

2. BWR description
2.1 Power generation
2.2 Neutron monitoring system
2.3 Local power range monitors (LPRMs)
2.4 Average power range monitors (APRMs)

3.  Instability phenomena in BWRs
 3.1 Types of instabilities
              3.1.1 Instabilities produced by the control system
              3.1.2 Instabilities produced by the channel thermohydraulic
              3.1.2 Instabilities produced by the nuclear-thermohydraulic coupling
3.2 Density wave oscillation (DWO)
3.3 In-phase instability
3.4 Out-of-phase instability
3.5 Partial out-of-phase oscillation (phase angle less than 180 degrees)

4.  Dynamics of BWRs and mathematical models
 4.1 Linear and non-linear behavior for the BWRs
          4.2 Linear models
               4.2.1 Second-order harmonic system
               4.2.2 Decay ratio as stability parameter
          4.3 Non-linear models

5.     Stability in Nuclear Power Plants: The Monitoring System
5.1 Plant signals with in-phase instability
 5.2 Plant signals with out-of-phase instability
 5.3 Benchmarks data: Forsmark and Ringhals
          5.4 Monitoring system: the problem of the real-time
  5.4.1 Decay ratio estimation algorithm
  5.4.2 Selected hardware for real-time implementation
  5.4.3 Real-time implementation for the DR estimation
  5.4.4 Experiments and results

6.    Linear signal processing methods and the Decay Ratio estimation
 6.1 Autoregressive models-based methods
          6.2  Fourier-based methods
 6.3 Wavelet-based methods
 6.4 Other methods

7.  Non-linear signal processing methods: DR estimation and non-linear stability parameters
7.1 Empirical Mode Decomposition (EMD)
  7.1.1 Classic EMD
      7.1.2 Bivariate EMD and Multivariate M-EMD
 7.2 Hilbert-Huang Transform (HHT)
 7.3 DR estimation based on EMD-HHT
         7.4 Introducing non-linear stability parameters
7.5 Lyapunov coefficients
7.6 Fractals
7.7 Shannon entropy
 7.8 Numerical experiments with synthetic signals
 7.9 Applications in real NPP


Linear and Non-Linear Stability Analysis in Boiling Water Reactors: Applications and Fundamentals of the Design of Real-Time Stability Monitors presents a thorough analysis of the most innovative BWR reactors and stability phenomena in one accessible resource. It firstly presents a summary of existing literature on BWRs to give early career engineers and researchers a solid background in the field, as well as the latest research on stability phenomena, nuclear power monitors and advanced computer systems used to for the prediction of stability. It emphasizes the importance of BWR technology and its embedded neutron monitoring systems (APRMs and LPRMs) and introduces non-linear stability parameters that can be used for the onset detection of instabilities in BWRs. The linear signal processing methods of autoregressive models, Fourier-based methods and other advanced methods, such as wavelets to calculate the decay ratio, are also analyzed to establish the scope of each method, and the advantages and disadvantages of each are considered throughout.

This book will be a valuable resource for nuclear engineering students focusing on linear and non-linear analysis, as well as for those working and researching in a nuclear power capacity looking to implement stability methods and estimate decay ratios using non-linear techniques. The inclusion of analytical case studies of existing plants helps the reader to apply the theory learned to their own projects to identify well-established patterns of oscillations and implement stability methods within new and existing BWR nuclear power plants.

Key Features

  • Explores the nuclear stability of Boiling Water Reactors and presents the most advanced methods of digital signal processing and their application in the design of real-time monitoring systems
  • Evaluates Linear signal processing methods such as autoregressive models, Fourier-based methods and wavelets to calculate the decay ratio
  • Includes case studies of various existing nuclear power plants as well as mathematical models and simulations


Undergraduate and postgraduate students of nuclear engineering, especially those focusing on linear analysis and nonlinear analysis; researchers, academics and scholars of nuclear power and professional engineers working in nuclear power plants


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© Woodhead Publishing 2019
Woodhead Publishing
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About the Authors

Alfonso Prieto Guerrero Author

Dr. Alfonso Prieto Guerrero received him B.Sc. degree in mechanical-electrical engineering from the National Autonomous University of Mexico (UNAM), his M.Sc. degree in digital signal processing from Telecom Paris Site-Toulouse, France, and his PhD in Sciences in Digital Signal Processing from the National Polytechnics Institute of Toulouse, France. He is currently working at the Metropolitan Autonomous University Campus Iztapalapa (UAM-I), Mexico and his research interested focus on the domain of signal processing and its applications. Dr. Guerrero has worked on signal compression, speaker recognition and communications applications, and is currently collaborating on projects related to nuclear reactor signals. In 2007 he spent time at the TESA laboratory (Telecommunications for space and aeronautics) in Toulouse, France, where he collaborated in the regional project OURSES on biomedical applications via satellite. In 2014 he was awarded with the Best Paper Award at the most important Thermal-Hydraulics international conference (NUTHOS-10).

Affiliations and Expertise

Metropolitan Autonomous University Campus Iztapalapa (UAM-I), Mexico

Gilberto Espinosa Paredes Author

Dr. Gilberto Espinosa-Paredes is Professor of Transport Phenomena, Nuclear Engineering and Reactor Physics, as well as applied mathematical at the Metropolitan Autonomous University Campus Iztapalapa (UAM-I), where he has been since 1977. Dr. Espinosa-Paredes recently served as Guest Editor of Science and Technology of Nuclear Installations on Severe Accident Analysis in Nuclear Power Plants, and has served on numerous editorial boards including the International Journal of Nuclear Energy Science and Technology (2012), Journal of Sustainable Energy Engineering (2012), International Journal of Applied and Computational Mathematics, and México Nuclear (2000). Dr. Espinosa-Paredes is a member of the Mexican Engineering Academy, Science Mexican Academy and Level III of the Mexican National System of Researchers (SNI). He worked for the Simulation Department at the Electrical Research Institute (IIE) in México from 1984 to 1997 and for the Simulation and Codes Department at TECNATOM in Spain from 1987 to 1988. He has around 200 publications with close to 1000 citations, including peer reviewed papers, conference papers, books, books chapters and patents, and in 2014 was awarded with the Best Paper Award at the most important Thermal-Hydraulics international conference (NUTHOS-10). Dr. Espinosa-Paredes is well regarded as an expert in mathematical modeling applied to analysis and nuclear safety.

Affiliations and Expertise

Professor of Transport Phenomena, Nuclear Engineering and Reactor Physics / Applied Mathematical, Metropolitan Autonomous University Campus Iztapalapa (UAM-I)