Frequency Response Testing in Nuclear Reactors

Frequency Response Testing in Nuclear Reactors

1st Edition - January 1, 1974

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  • Editor: T Kerlin
  • eBook ISBN: 9780323160513

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Frequency Response Testing in Nuclear Reactors presents the optimum testing procedures for measurements in power reactors. This eight-chapter book emphasizes the determination of the system frequency response using nonsinusoidal input perturbations, which are useful since normal power reactor hardware can be used. This text deals first with the mathematical aspects of frequency response testing, with a particular emphasis on numerical Fourier transformations using analog or digital equipment. The subsequent chapters examine the important signals for use in frequency responses tests and the analysis of these signals using analog and digital computing equipment. The discussion then shifts to the frequency response functions that describe nuclear reactor dynamics. This topic is followed by a presentation of techniques for extracting useful information from test results. A chapter highlights the most common control-rod drive mechanisms to assess their suitability for dynamics testing. The concluding chapter provides a brief summary of significant experiences with dynamics tests in nuclear reactors. Scientists, researchers, and workers in the field of nuclear reactors and related subjects will find this book invaluable.

Table of Contents

  • Preface

    Chapter 1 Introduction

    1.1. The Need for Frequency Response Testing

    1.2. The History of Frequency Response Testing in Nuclear Systems


    Chapter 2 Mathematical Background

    2.1. Mathematical Description of System Dynamics

    2.2. Laplace Transforms

    2.3. Transfer Functions

    2.4. Frequency Response

    2.5. Fourier Transforms

    2.6. Power Spectra

    2.7. Correlation Functions

    2.8. Convolution

    2.9. Frequency Response by Analysis of Data Records

    2.10. Coherence Function

    2.11. Filtering Inherent in Fourier Analysis

    2.12. Spectrum of a Binary Pulse Chain and Its Bandwidth

    2.13. Nonlinear Effects

    2.14. Summary


    Chapter 3 Properties of Important Test Signals

    3.1. Pseudo-Random Binary Sequence (PRBS)

    3.2. n Sequence

    3.3. Pseudo-Random Ternary Sequence (PRTS)

    3.4. Comparison of Power Spectra for PRBS, n Sequence, and PRTS

    3.5. Multifrequency Binary Sequence (MFBS)

    3.6. Selecting an Input Signal

    3.7. Square Waves

    3.8. Nonperiodic Signals

    3.9. Effects of Signal Imperfections

    3.10. Summary


    Chapter 4 Data Analysis

    4.1. Fourier Analysis—Analog Computer Methods

    4.2. Band-Pass Filter Analysis

    4.3. The Discrete Fourier Transform (DFT) and Aliasing

    4.4. Calculating the DFT

    4.5. Numerical Integration Procedures in Computing the DFT

    4.6. The Fast Fourier Transform (FFT)

    4.7. Averaging in Frequency Response Data Analysis

    4.8. Data Records with a Nonintegral Number of Periods and Drift

    4.9. Effect of Noise and Test Duration

    4.10. Spectral Windows

    4.11. Correlation Functions

    4.12. Indirect Analysis

    4.13. On-line versus Off-line Computation


    Chapter 5 Nuclear Reactor Frequency Response

    5.1. Lumped-Parameter Zero-Power Frequency Response

    5.2. Effect of Feedback

    5.3. Spatial Effects

    5.4. Subcritical Reactor Dynamics


    Chapter 6 Interpretation of Results

    6.1. Stability Assessment

    6.2. System Identification

    6.3. Future Possibilities


    Chapter 7 Equipment for Introducing Test Perturbations

    7.1. Magnitude of Reactivity Perturbations Needed in a Test

    7.2. Means of Controlling Rod Motion

    7.3. Descriptions of Typical Control-Rod Drive Mechanisms

    7.4. Dynamic Rod Control Calibration

    7.5. Other Inputs

    Chapter 8 Testing Experiences

    8.1. Pressurized Water Reactors

    8.2. Boiling Water Reactors

    8.3. Fast Reactors

    8.4. Gas-Cooled Reactors

    8.5. Heavy-Water Reactors

    8.6. Other Reactor Types

    8.7. Conclusions


    Appendix A

    Appendix B


Product details

  • No. of pages: 188
  • Language: English
  • Copyright: © Academic Press 1974
  • Published: January 1, 1974
  • Imprint: Academic Press
  • eBook ISBN: 9780323160513

About the Editor

T Kerlin

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