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

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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