Nuclear Reactor Kinetics and Control - 1st Edition - ISBN: 9780080216829, 9781483278759

Nuclear Reactor Kinetics and Control

1st Edition

Authors: Jeffery Lewins
eBook ISBN: 9781483278759
Imprint: Pergamon
Published Date: 1st January 1978
Page Count: 278
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Description

Nuclear Reactor Kinetics and Control highlights the application of classical control methods in the frequency space to the dynamic processes of a nuclear reactor.

This book contains nine chapters and begins with an introduction to some important mathematical theories related to nuclear engineering, such as the Laplace and Fourier transforms, linear system stability, and the probability theory. The succeeding chapters deal with the frequency space of classical linear design. A chapter describes a stochastic model for the “lumped reactor” and presents equations that measure the departure from the mean, as well as representative experiments or applications of the theory to neutron detection. The discussion then shifts to the aspects of reliability and its consequences for safety of nuclear reactors and some techniques for nonlinear studies centered on the use of the state space and its equations in the time domain. The final chapter introduces the modern electric analogue computer and derives the patching or programming rules that can be use to find solutions to problems of interest using the analogous behavior of electric circuits. This chapter also provide examples of intrinsic interest in nuclear engineering showing the programming involved and typical results, including the slower transients of xenon poisoning and fuel burn-up.

This book is intended for nuclear engineers, physicists, applied mathematicians, and nuclear engineering undergraduate and postgraduate students.

Table of Contents

Dedication

ERRATA

Preface

Acknowledgements

Chapter 1: Introductory Review

Publisher Summary

Laplace and Fourier Transforms

Linear System Stability

Review of Probability Theory

Chapter 2: Neutron and Precursor Equations

Publisher Summary

Physical Data

Effective Values

Static Reactivity Calculations

Practical Calculations of Kinetics Parameters

Conclusion

Problems for Chapter 2

Chapter 3: Elementary Solutions of the Kinetics Equations at Low Power

Publisher Summary

Kinetics Parameters

Some Exact Solutions

Some Approximate Methods

Problems for Chapter 3

Chapter 4: Linear Reactor Process Dynamics with Feedback

Publisher Summary

Introduction

Neutronics Transfer Function

Void Effects

Reactor Thermal Transients

Reactor Plant Dynamics

Xenon Poisoning

Reactor Control Elements

Load Dynamics

Conclusion

Problems for Chapter 4

Chapter 5: Power Reactor Control Systems

Publisher Summary

Introduction

General Control Considerations

Sample Control Calculations

Light Water Reactors

Heavy Water Reactors (HWRs)

Gas Cooled Reactors

Sodium Cooled Reactors

Problems for Chapter 5

Chapter 6: Fluctuations and Reactor Noise

Publisher Summary

Introduction

Probability Equations

Correlation Functions

Experimental Applications

Conclusion

Problems for Chapter 6

Chapter 7: Safety and Reliability

Publisher Summary

Introduction

Logical and Safety Circuits

FAULT TREE DIAGRAMS

EVENT TREE DIAGRAM

Failure Expectations

Chapter 8: Nonlinear Systems; Stability and Control

Publisher Summary

State Space Representations

Stability in Nonlinear Systems

Liapunov’s Direct Stability Study

Application to Reactor Studies

Optimum Control Theory

Optimum Reactor Control

Problems for Chapter 8

Chapter 9: Analogue Computing

Publisher Summary

Introduction

Linear Analogue Elements

Elementary Programs and Output

Computer Scaling

Additional Elements

Sample Programs

Conclusion

Problems for Chapter 9

Index

Inside Back Cover

Details

No. of pages:
278
Language:
English
Copyright:
© Pergamon 1978
Published:
Imprint:
Pergamon
eBook ISBN:
9781483278759

About the Author

Jeffery Lewins