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Nuclear Reactor Kinetics and Control

Pergamon International Library of Science, Technology, Engineering and Social Studies

  • 1st Edition - January 1, 1978
  • Latest edition
  • Author: Jeffery Lewins
  • Language: English

Nuclear Reactor Kinetics and Control deals with the application of classical control methods in the frequency space to the dynamic processes of a nuclear reactor. The importance of… Read more

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Description

Nuclear Reactor Kinetics and Control deals with the application of classical control methods in the frequency space to the dynamic processes of a nuclear reactor. The importance of the reactor as part of an integrated plant including ultimately the load, in the form of an electrical grid, is given emphasis. Ideas of probability and safety are also discussed. Comprised of nine chapters, this book begins with an introduction to the kinetics and control of a nuclear reactor, paying particular attention to Laplace and Fourier transforms, the stability of linear systems, and probability theory. The discussion then turns to neutron and precursor equations; elementary solutions of the kinetics equations at low power; and linear reactor process dynamics with feedback. Subsequent chapters focus on power reactor control systems; fluctuations and reactor noise; aspects of reliability and its consequences for safety; and stability and control of nonlinear systems. The book concludes by considering the modern electric analogue computer as well as the patching or programming rules whereby it can be made to find solutions to problems of interest by virtue of the analogous behavior of electric circuits. A number of examples of intrinsic interest in nuclear engineering are presented. This monograph is intended for undergraduates and postgraduates who are studying nuclear engineering, including engineers, physicists, and perhaps applied mathematicians.

Table of contents


Preface

Acknowledgements

Chapter 1 Introductory Review

Laplace and Fourier Transforms

Linear System Stability

Review of Probability Theory

Problems

References

Chapter 2 Neutron and Precursor Equations

Physical Data

Effective Values

Static Reactivity Calculations

Practical Calculations of Kinetics Parameters

Conclusion

Problems

References

Chapter 3 Elementary Solutions of the Kinetics Equations at Low Power

Kinetics Parameters

Some Exact Solutions

Some Approximate Methods

Problems

References

Chapter 4 Linear Reactor Process Dynamics with Feedback

Introduction

Neutronics Transfer Function

Void Effects

Reactor Thermal Transients

Reactor Plant Dynamics

Xenon Poisoning

Reactor Control Elements

Load Dynamics

Conclusion

Problems

References

Chapter 5 Power Reactor Control Systems

Introduction

General Control Considerations

Sample Control Calculations

Light Water Reactors

Heavy Water Reactors

Gas Cooled Reactors

Sodium Cooled Reactors

Problems

References

Chapter 6 Fluctuations and Reactor Noise

Introduction

Probability Equations

Correlation Functions

Experimental Applications

Conclusion

Problems

References

Chapter 7 Safety and Reliability

Introduction

Logical and Safety Circuits

Failure Expectations

Problems

References

Chapter 8 Nonlinear Systems; Stability and Control

State Space Representations

Stability in Nonlinear Systems

Liapunov's Direct Stability Study

Application to Reactor Studies

Optimum Control Theory

Optimum Reactor Control

Conclusion

Problems

References

Chapter 9 Analogue Computing

Introduction

Linear Analogue Elements

Elementary Programs and Output

Computer Scaling

Additional Elements

Sample Programs

Conclusion

Problems

References

Index

Product details

  • Edition: 1
  • Latest edition
  • Published: June 5, 2014
  • Language: English