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HANDBOOK OF AUTOMATION, COMPUTATION, AND CONTROL

Volume 3

SYSTEMS AND COMPONENTS

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JOHN WILEY & SONS, INC.

New York • London

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HANDBOOK OF AUTOMATION, COMPUTATION, AND CONTROL

Volume 3

SYSTEMS AND COMPONENTS

Prepared by a Staff of Specialists

Edited by

EUGENE M. GRABBE SIMON RAMO

DEAN E. WOOLDRIDGE

Thompson Ramo Wooldridge Inc.

Los Angeles, California

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Copyright © 1961 by John Wiley & Sons, Inc.

All Rights Reserved. This book or any part thereof must not be reproduced in any form without the written permission of the publisher.

Library of Congress Catalog Card· Number: 58-10800 Printed in the United States of America

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CONTRIBUTORS

G. S. AXELBY, Westinghouse Electric Corporation, Baltimore, Maryland (Chapter 22) .

C. W. BAILEY, Consolidated Electrodynamics Corporation, Pasadena, California (Chapter 24)

E. V. BERSINGER, Radio Corporation of America, Van Nuys, California (Chapter 19)

P. S. BUCKLEY, E. I. du Pont de Nemours and Company, Inc., Wilmington, Delaware (Chapter 7)

N. COHN, Leeds and Northrup Company, Philadelphia, Pennsylvania (Chapter 17)

M. E. CONNELLY, Massachusetts Institute of Technology, Cambridge, Massa- chusetts (Chapter 1)

P. E. A. COWLEY, Shell Development Company, Emeryville, California (Chapter 9)

R. O. DECKER, Westinghouse Electric Corporation, Pittsburgh, Pennsylvania (Chapter 25)

D. P. ECKMAN, Case Institute of Technology, Cleveland, Ohio (Editor, Part D) L. J. FOGEL, Astronautics Division, General Dynamics, San Diego, California

(Chapter 2)

A. S. FULTON, Thompson Ramo Wooldridge Inc., Canoga Park, California (Editor, Part F; Chapters 1 Band 23)

E.F. HOLBEN, Conoflow Corporation, Philadelphia, Pennsylvania (Chapter B) E. M. GRABBE, Compagnie Europeimne d' Automatisme Electronique, Paris,

France (Chapter 14)

T. R. JAMES, General Mills, Inc., Minneapolis, Minnesota (Chapter 3) v

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vi CONTRIBUTORS

D. L. JOHNSTON, Urwick-Orr and Partners, Hertfordshire, England (Chapter 4) R. E. KALMAN, International Business Machines, Baltimore, Maryland

(Chapter 12)

A. G. KEGEL, Westinghouse Electric Corporation, Baltimore, Maryland (Chapter 22)

C. G. LASPE, Thompson Ramo Wooldridge Products Company, Beverly Hills, California (Chapter 11)

I. LEFKOWITZ, Case Institute of Technology, Cleveland, Ohio (Chapter 13) J. LYMAN, University of California, Los Angeles, California (Chapter 2) R. O. MAZE, Minneapolis-Honeywell Regulator Company, Minneapolis, Minne-

sota (Chapter 21)

J. M. MOZLEY, The Johns Hopkins Hospital, Baltimore, Maryland (Chapter 7) G. F. PITTMAN, JR., Westinghouse Electric Corporation, Pittsburgh, Pennsyl-

vania (Chapter 25)

J. E. RIJNSDORP, Royal Dutch Shell, Amsterdam, Holland (Chapter 70) J. ROSENBERG, University of California, Los Angeles, California (Chapter 6) J. S. SABY, General Electric Company, Cleveland, Ohio (Chapter 26)

J. A. SARGROVE, Automation Consultants and Associates, Ltd., London, England (Chapter 4)

A. J. SCHENK, Jervis B. Webb Company, Detroit, Michigan (Chapter 5) M. A. SCHULTZ, Westinghouse Electric Corporation, Pittsburgh, Pennsylvania

(Chapter 76)

W. E. SHOUPP, Westinghouse Electric Corporation, Pittsburgh, Pennsylvania (Chapter 16)

L. M. SILVA, Beckman Instruments, Inc., Anaheim, California (Chapter 15) A. P. STERN, General Electric Company, Syracuse, New York (Chapter 27) M. E. STICKNEY, Lockheed Aircraft Corporation, Sunnyvale, California

(Chapter 20)

T. M. STOUT, Thompson Ramo Wooldridge Products Company, Beverly Hills,

California (Chapter 11) .

J. WALKER, Librascope, Burbank, California (Chapter 24)

W. G. WING, Sperry Gyroscope Company, Great Neck, New York (Chapter 28)

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FOREWORD

The proliferation of knowledge now makes it most difficult for scientists or engineers to keep ahead of change even in their own fields, let alone in contiguous fields. One of the fields where recent change has been most noticeable, and in fact exponential, has been automatic control. This three-volume Handbook will aid individuals in almost every branch of technology who must constantly refresh their memories or refurbish their knowledge about many aspects of their work.

Automation, computation, and control, as we know them, have been evolving for centuries, but within the last generation their impact has been felt in nearly every segment of human endeavor. Feedback prin- ciples were exploited by Leonardo da Vinci and applied by James Watt.

Some of the early theoretical work of importance was contributed by Lord Kelvin, who also, together with Charles Babbage, pointed the way to the development of today's giant computational aids. Since about the turn of the present century, the works of men like Minorsky, Nyquist, Wiener, Bush, Hazen, and Von Neumann gave quantum jumps to computation and control. But it was during and immediately following \Vorld vVar II that quantum jumps occurred in abundance. This was the period when theories of control, new concepts of computation, new areas of application, and a host of new devices appeared with great rapidity. Technologists now find these fields charged with challenge, but at the same time hard to encom- pass. From the activities of World \Var II such terms as servomechanism, feedback control, digital and analog computer, transducer, and system engineering reached'maturity. More recently the word automation has become deeply entrenched as meaning something about the field on which no two people agree.

Philosophically minded technologists do not accept automation merely as a third Industrial Revolution. They see it, as they stand about where the editors of this Handbook stood when they projected this work, as a manifestation of one of the greatest Intellectual Revolutions in Thinking that has occurred for a long time. They see in automation the natural consequences of man's urge to exploit modern science on a wide front to

vii

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viii FOREWORD

perform useful tasks in, for example, manufacturing, transportation, busi- ness, physical science, social science, medicine, the military, and govern- ment. They see that it has brought great change to our conventional way of thinking about the human use of human beings, to quote Norbert Wiener, and in turn about how our engineers will be trained to solve tomorrow's engineering problems. They even see that it has precipitated some deep thinking on the part of our industrial and union leadership about the organization of workers in order not to hold captive bodies of workmen for jobs that automation, computation, and control have swept or will soon sweep away.

Perhaps the important new face on today's technological scene is the degree to which the broad field needs codification and ·unification in order that technologists can optimize their role to exploit it for the general good.

One of the early instances of organized academic instruction in the field was at The Massachusetts Institute of Technology in the Electrical Engi- neering Department in September 1939, as a course entitled Theory and Application of Servomechanisms. I can well recollect discussions around 1940 with the late Dr. Donald P. Campbell and Dr. Harold L. Hazen, which led temporarily to renaming the 'course Dynamic Analysis of Auto- matic Control Systems because so few students knew what "servomecha- nisms" were. But when the GI's returned from war everybody knew, and everybody wanted instruction. Since that time engineering colleges throughout the land have elected to offer organized instruction in a multi- tude of topics ranging from the most abstract mathematical fundamentals to the most specific applications of hardware. Textbooks are available on every subject along this broad spectrum. But still the practicing control or computer technologist experiences great difficulty keeping abreast of what he needs to know.

As organized instruction appeared in educational institutions, and as industrial activity increased, professional societies organized groups in the areas of control and computation to meet the needs of their members to tell one another about technical advances. Within the past five years several trade journals have undertaken to report regularly on develop- ments in theory, components, and systems. The net effect of all this is that the technologist is overwhelmed with fragmentary, sometimes con- tradictory, redundant information that comes at him at random and in many languages. The problem of assessing and codifying even a portion of this avalanche of knowledge is beyond the capabilities of even the most able technologist.

The editors of the Handbook have rightly concluded that what each technologist needs for his long-term professional growth is to have a body {Jf knowledge that is negotiable at par in anyone of a number of related

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FOREWORD ix fields for many years to come. It would be ideal, of course, if a college education could give a prospective technologist this kind of knowledge.

It is in the hope of doing this that engineering curricula are becoming more broadly based in science and engineering science. But it is unlikely that even this kind of college training will be adequate to cope with the consequences of the rapid proliferation of technology as is manifest in the area of automation, computation, and control. Hence, handbooks are an essential component of the technical literature when they provide the unity and continuity that are requisite.

I can think of no better way to describe this Handbook than to say that the editors, in both their organization of material and selection of sub- stance, have given technologists a unified work of lasting value. It truly represents today's optimum package of that body of knowledge that will be negotiable at par by technologists for many years to come in a wide range of disciplines.

GORDON S. BROWN

Dean, School of Engineering

Massachusetts Institute of Technology

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PREFACE

Accelerated advances in technology have brought a steady stream of automatic machines to our factories, offices, and homes. The earliest automation forms were concerned with doing work, followed by the con- trolling function, and recently the big surge in automation has been directed toward data handling functions. New devices ranging from digital computers to satellites have resulted from military and other gov- ernment research and development programs. Such activity will continue to have an important impact on automation progress.

One of the pressures for, the development of automation has been the growing complexity and speed of business and industrial operations. But automation in turn accelerates the tempo of whatever it touches, so that we can expect future systems to be even larger, faster, and more complex.

While a segment of engineering will continue to mastermind, by rule of thumb procedures, the design and construction of automatic equipment and systems, a growing percentage of engineering effort will be devoted to activities that may be classified as problem solving. The activities of the problem solver involve analysis of previous behavior of systems and equip- ment, simulation of present situations, and predictions about the future.

In the past, problem solving has largely been practiced by engineers and scientists, using slide rules and hand calculators, but with the advent of large-scale data processing systems, the range of applications has been broadened considerably to include economic, government, and social activ- ities. Air traffic control, traffic simulation, library searching, and language translation are typical of the problems that have been attacked.

This Handbook is directed toward the problem solvers-the engineers, scientists, technicians, managers, and others from all walks of life who are concerned with applying technology to the mushrooming developments in automatic equipment and systems. It is our purpose to gather together in one place the available theory and information on general mathematics, feedback control, computers, data processing, and systems design. The emphasis has been on practical methods of applying theory, new techniques

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xii PREFACE

and components, and the ever broadening role of the electronic computer.

Each chapter starts with definitions and descriptions aimed at providing perspective and moves on to more complicated theory, analysis, and appli- cations. In general, the Handbook assumes some engineering training and will serve as an information source and refresher for practicing engineers.

For management, it will provide a frame of reference and background ma:- terial for understanding modern techniques of importance to business and industry. To others engaged in various ramifications of automation sys- tems, the Handbook will provide a source of definitions and descriptive material about new areas of technology.

It would be difficult for any·one individual or small group of individuals to prepare a handbook of this type. A large number of contributors, each with a field of specialty, is required to provide the engineer with the desired coverage. With such a broad field, it is difficult to treat all material in a homogeneous manner. Topics in new fields are given in more detail than the older, established ones since there is a need for more background' in- formation on these new subjects. The organization of the material is in three volumes as shown on the inside cover of the Handbook. . Volume 1 is on Control Fundamentals, Volume 2 is concerned with Computers and Data Processing, and Volume 3 with Systems and Components.

In keeping with the purpose of this Handbook, Volume 1 has a strong treatment of general mathematics which includes chapters on subjects not ordinarily found in engineering handbooks. These include sets and rela- tions, Boolean algebra, probability, and statistics. Additional chapters are devoted to numerical analysis, operations research, and information theory. Finally, the present status of feedback control theory is sum:"

marized in eight chapters. Components have been placed with sys..:.

tems in Volume 3 rather than with control theory in Volume 1, although any discussion of feedback control must, of necessity, be concerned with components.

The importance of computing in research, development, production, real time process control, and business applications has steadily increased.

Hence, Volume 2 is devoted entirely to the design and use of analog and digital computers and data processors. In addition to covering the status of knowledge today in these fields, there are chapters on unusual computer systems, magnetic core and transistor circuits, and an advanced,treatment of programming. Volume 3 emphasizes systems engineering.'

A

part of the volume covers techniques used in important industrial applications by examining typical systems. The treatment of components is largely con- cerned with how to select components among the various alternates, their mathematical description, and their integration into systems. There is

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PREFACE xiii also a treatment of the design of components of considerable importance today. These include magnetic amplifiers, semiconductors, and gyro- scopes.

'Ve consi<;ler this Handbook a pioneering effort in a field that is steadily pushing back frontiers. It is our hope that these volumes will not only provide basic information on new fields, but will also inspire work and further research and development in the fields of automatic control. The editors are pleased to acknowledge the advice and assistance of Professor Gordon S. Brown and Professor Jerome S. 'Yiesner of the Massachusetts Institute of Technology, and Dr. Brockway McMillan of the Bell Tele- phone Laboratories, in organizing the subject matter. To the contributors goes the major credit for providing clear, thorough treatments of their subjects. The editors are deeply indebted to the large number of special- ists in the control field who have aided and encouraged this undertak- ing by reviewing manuscripts and making valuable suggestions. Many members of the technical staff and secretarial staff of Thompson Ramo Wooldridge Inc. and the Ramo-'Yooldridge Division have been especially helpful in speeding the progress of the Handbook.

August 1961

EUGENE M. GRABBE SIMON RAMO

DEAN E. VVOOLDRIDGE

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CONTENTS

A. SYSTEMS ENGINEERING

Chapter 1. Systems Design 1-01

1. Scope of Control System Applications 1-01 2. Educational Requirements 1-02

3. Formulation of the Design Problem 1-03 4. System Functions 1-06

5. Detailed System Design 1-10 6. Detailed Unit Design 1-21 7. Unit and System Tests 1-24 8. Final Design 1-24 9. Conclusion 1-26

References 1-26

Chapter 2. The Human Ca'mponent 2-01

1. General Comparison of "Humans and Machine Components 2-01

2. Design Problems Specific to 'Human Components 2-04

3. Information inputs to the Human Com- ponent 2-05

4. Control Operation 2-10 5. Human Transfer Functions 2-11 6. Practical Human Factors Design 2-13

References 2-15 B. MANUFACTURING PROCESS CONTROL

Chapter 3. Automatic Machines 3-01

1. Types of Processes 3-01

2. Classification of Automatic Mechanisms 3-03 3. Transporting and Positioning Mechanisms 3-04 4. Work Performing Mechanisms 3-13

5. Machine Programming 3-15 xv

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xvi

Chapter 4.

Chapter 5.

Chapter 6.

CONTENTS

6. Automatic Inspection 3-22 7. Typical Examples 3-24

References 3-29

Automatic Inspection and Control 1. Purpose 4-01

2. Limitations of Human Inspector 3. Characteristics of Fault Statistics

4-01 4-02 4. Sensing Elements for Inspection 4-05 5. Inspection and Control System Qesign 4 .. 05 6. Manipulation of Time Scale 4-09

7. Displays and Recording Systems 4-10 8. Electrica I Component Testing 4-11

References 4-12 Materials Handling

1. Conveyor Systems 5-01

2. Problems of Conveyor Controls 5-02 3. Multiple Drive Conveyor Requirements 5-05 4. Basic Electrical Controls 5-09

5. Conveyor Control Circuits 5-14 6. Synchronized Conveyor Systems 5-17 7. Control Systems for Synchronization 5-20 8. Selective Dispatching Systems 5-23

References 5-27

Numerical Control of Machines 1. Types of Control Systems 6-01 2. Information Requirements 6-12

3. Numerical Codes and Their Selection 6-13 4. Storage Media Applicable to Numerical

Control 6-18

5. Incremental and Absolute Control Logic 6-19 6. Transducers 6-21

7. Servo System Considerations 6-23

8. Programming (Preparation of Control Tapes or Cards) 6-28

References 6-31

C. CHEMICAL PROCESS CONTROL INSTRUMENTATION Chapter 7. Instrumentation Systems

1. Trends and Limitations in Systems Engi- neering 7-01

2. Control Functions 7-03

3. Pneumatic Control Systems 7-10

4-01

5-01

6-01

7-01

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CONTENTS xvii

4. Electric and Electronic Control Systems 7-17 5. Hydraulic Control Systems 7-18

6. Pneumatic Components 7-18

7. Electric and Electronic Components 7-61 8. Self-Actuated Controllers 7-75

9.. Control Panels 7-79 References 7-81

D. CHEMICAL PROCESS CONTROL SYSTEMS

Chapter 8. Design Procedures . 8-01

1. Introduction' and Terminology 8-01 2. Specification of Quality Control 8-02 3. Operational Factors 8-02

4. System Desigh 8-05 References 8-20

Chapter 9. Process Test Methods 9-01

1. Introduction and Terminology 9-01 2. Tuning a Control Loop 9-02 3. Step Function Testing 9-03 4. Impulse Function Testing 9-09 5. Frequency Response Testing 9-11

6. Statistical Methods for the Measurement of Process Dynamics 9-13

References 9-14

Chapter 10. Single and Multiple Loop Controls 10-01 1. Introduction and List of Symbols 10-01

2. Block Diagram of Single Loop Control 10-03 3. Reduction of Sinusoidal Deviations 10-04 4. Transfer Function of the Controller 10-05 5. Dynamic Behavior for Some Typical

Processes 10-06

6. Responses to Step and Constant Rate Disturbances 10-17

7. Adjustment of the Controller Actions 10-20 8. Feed-Forward Control 10-27

9. Cascade Control 10-28

10. Use of Analytical Instruments for Process Control 10-34

11. Multivariable Control Systems 10-35 12. Special Subjects 10-40

References 10-40

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xviii CONTENTS

Chapter 11. Nonlinearities 11·01

1. Introduction 11·01

2. Nonlinearities in Measurement Instruments 11-02 3. Nonlinearitles in the Process 11·06

4. Nonlinearlties in Control Equipment 11·09 5. Nonlinear Control Devices 11·11

6. Classification of Process Nonlinearities 11·12 7. Effects and Treatment of Nonlinearities 11·15 8. Adjustment of Controller Constants 11·16 9. Use of Local Feedback Loops 11-25 10. Compensation for Nonlinearities 11-26

References 11·28

Chapter 12. Sampled.Data Control 12-01

1. Introduction 12·01

2. Application Considerations 12·03 3. Design Procedures 12·04 4. Examples 12·07

5. Special Purpose Computer 12·07 6. Future Systems 12·09

References 12·09

Chapter 13. Computer Control . 13·01

1. The Trend to Computer Control 13·01 2. Control Based on Computed Functions 13·03 3. Optimizing Control 13·04

4. Analytical Methods of System Optimization 13·06 5. Direct Methods of Optimizing Control 13·10 6. Optimizing by Computer Control 13·16 7. Applications of Computer Control 13·17

References 13·29

Chapter 14. Data Processing 14·01

1. Introduction 14·01

2. Monitors and Data Logging Equipment 14·08 3. Process Control Computer Equipment 14·13 4. Planning for Computer Control 14·17

References 14·22 E. INDUSTRIAL CONTROL SYSTEMS

Chapter 15. Transmission Systems 1. Introduction 2. Information

15·01 15·04 3. Transmission Systems 15·09

4. FM Demodulation and System Errors 15·27

15·01

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CONTENTS xix 5. AM Detection and System Errors 15-49

6. Pulse Transmission 15-69 References 15-89

Chapter 16. Nuclear Reactor Control l6-01

1. Introduction 16-01

2. Reactor Control System Requirements 16-05 3. The Reactor as a Servomechanism Com-

ponent 16-07

4. Power Level Automatic Control 16-21 5. Example of the Design of a Reactor Automatic

Control Loop 16-24 References 16-29

Chapter 17. Control of Interconnected Power Systems . 17-01 1. Introduction and Scope 17-01

2. Interconnected Power Systems 17-03 3. The Generation Control Problem 17-08 4. System Governing 17-17

5. Supplementary Regulation 17-24 6. Area Regulation 17-29

7. Regulation as a Function of Bias Setting 17-50 8. Economy Dispatch 17-64

9. Control Executions 17-103 References 17-124

F. COMPONENT SELECTION

Chapter 18. Basic Principles 18-01

1. Objectives 18-01

2. General Requirements 18-03

3. Performance Factors and Definitions 18-05

Chapter 19. Reliability 19-01

1. Importance 19-01 2. Failures 19-02 3. Redundancy 19-06 4. Reliability Prediction 19-12

References 19-16

Chapter 20. Measuring Elements and Sensors 20-01 1. Introduction 20-01

2. System Requirements 20-02 3. Transducer Characteristics 20-02 4. Displacement Measurement 20-05 5. Pressure and Force Measurement 20-12

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xx CONTENTS 6. Speed Measurement 20-17 7. Acceleration Measu rement 20-18 8. Flow Measurement 20-19 9. Liquid Level Measurement 10. Temperature Measurement

20-23 20-24 11. Nuclear Radiation Measurement 20-25

References 20-27 Chapter 21. Amplifiers

l. Introduction and Definitions 21-01 2. General Properties 21-02

3. Modulators and Demodulators 21-13 4. Electronic Amplifiers 21-23

5. Electromechanical Amplifiers 21-41 6. Rotary Amplifiers 21-45

7. Pneumatic and Hydraulic Amplifiers 21-47 References 21-49

Chapter 22. Actuators

1. Introduction 22-01

2. Actuator Specifications 22-04 3. Actuator Measure'!1ents 22-12 4. Selecting Actuators 22-17 5. Electric Actuators . 22-27 6. Fluid Actuators 22-31 7. Mechanical Actuators 22-46

References 22-55 Chapter 23. Computing Elements

1. Introduction 23-01 2. Adders 23-02

3. Integrators and Differentiators 23-05 4. Multipliers and Dividers 23-05

References 23-15

Chapter 24. Continuous End Point Analyzers . 1. Introduction 24-01

2. Optical Analyzer~ 24-02

3. Mass Spectrometer Analyzers 24-17 4. Gas Chromatography Analyzers 24-26 5. Specialized Analy:z;ers 24-28

6. Viscosimeters 24-40

7. Thermal Conductivity Analyzers 24-43 8. Dielectric Constant Analyzer 24-45 9. Vapor Pressure Analyzers 24-46

References 24-48

21-01

22-01

23-01

24-01

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CONTENTS xxi G. DESIGN OF COMPONENTS

Chapter 25. Magnetic Amplifiers 25-01

1. Introduction 25-01

2. Magnetic Amplifier Fundamentals 25-02 3. Magnetic Amplifier Components 25-12 4. Magnetic Amplifier Design 25-19 5. Commonly Used Circuits 25-28

References 25-39

Chapter 26. Semiconductor Devices 26-01

1. Introduction 26-01

2. Principles of Operation of Semiconductors 26-02 3. Diode Characteristics 26-16

4. Amplification by Semiconductor Diodes 26-26 5. Transistor Characteristics 26-30

6. Transistor Types 26-43 References 26-64

Chapter 27. Transistor Circuits . 27-01

1. Basic. Circuit Considerations and Symbols 27-01 2. Temperature Effects and Bias Stabilization 27-15 3. Low-Frequency Amplifiers 27-23

4. High-Frequency Amplifiers 27-42 5. D-C Amplifiers 27-56

6. Oscillators, Modulators, Mixers, Detectors 27-61 7. Switching Circuits 27-71

8. Power Supplies 27-97 References 27-104

Chapter 28. Gyroscopes 28-01

1. Introduction 28-01

2. General Dynamic Principles 28-02 3. Types of Gyroscopes 28-05 4. Design Characteristics 28-15 5. Gyroscope Applications 28-22 6. Gyroscope Testing 28-35

References 28-40 INDEX

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SYSTEMS ENGINEERING

A. SYSTEMS ENGINEERING

1. Systems Design, by M. E. Connelly

2. The Human Component, by J. Lyman and L. J. Fogel

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A

SYSTEMS ENGINEERING

ISystems Design

1. Scope of Control System Applications 2. Educational Requirements

3. Formulation of the Design Problem 4. System Functions

5. Detailed System Design 6. Detailed Unit Design 7. Unit and System Tests 8. Final Design 9. Conclusion

References

1. SCOPE OF CONTROL SYSTEM APPLICATIONS

Chapter

1

M. E. Connelly

1.01, 1·02 1·03 1·06 1·10 1·21 1·24 1·24 1·26 1·27

A control system is defined as an integrated complex of devices that governs or regulates a process or an operation. In many cases, it is diffi- cult to delineate sharply between the system being controlled and the control system. Often the two are so interdependent that they must be designed as a composite unit, in which case the,distinction becomes aca- demic. Control systems mayor may not require human participation.

In addition, they mayor may not be responsive to the state of the process

or operation under control. .

The scope of control system applications is extremely diversified and is expanding rapidly as more industrie/:l become aware of the possibilities of control techniques. These possibilitief3 may be listed briefly as follows:

Reduction in manpower required.

Greater production capacity.

1·01

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1-02 SYSTEMS ENGINEERING Increased production flexibility.

Lower production costs, higher efficiency.

Improved quality control, product standardization.

Shorter lead times, inventory reduction.

Safety.

Elimination of monotonous human operations.

Improved performance: power amplification, fast response, accuracy, rapid coordination of multiple factors.

Operation under adverse conditions.

Increased equipment utilization.

Easier production control.

In some applications, such as the control and guidance of high-speed missiles, there is no alternative to the use of automatic devices if the re- quired performance is to be achieved. When faced by a multiplicity of operations or the need for rapid response, human operators simply do not measure up to the task. In other cases, operations or processes have been automatized because it was the most satisfactory or the most efficient way to achieve a given result. The introduction of control tech- niques has in some measure freed production from the limitations of the human operator and has opened new possibilities for product and process simplification.

To indicate the wide variety of fields in which control systems are being utilized, Table 1 lists a few representative applications. Several complex systems are treated in detail in the chapters that follow (Refs. 1 to 9).

TABLE 1. REPRESENTATIVE CONTROL SYSTEM ApPLICATIONS

Automatic Machines. Numerically controlled milling machines, automatic elec- tronic assembly lines, self-regulated rolling mills, engine block production lines, program-controlled lathes, automatic inspection and quality control devices, ma- terial-handling automata, packaging and bottling machines

Communications. Dial telephone systems, test range communications

Transportation. Automatic railroad freight-sorting yards, pipeline controls, power distribution control, air traffic control systems, autopilot and landing devices, navigation aids, ship stabilizers

Process Control. Chemical plants, nuclear controls, petroleum refineries, dis- tilleries

Military. 'Fire-control systems (airborne, shipboard, and ground-based), missile stabilization and guidance, air defense control systems, training simulators Research and Development. Diffraction grating rulers, x-ray positioners, iron- lung regulators, synthetic human organs (heart, kidney), automatic spectrometers 2. EDUCATIONAL REQUIREMENTS

In order to cope with the control system problems that arise in such fields as those listed in Table 1, the system designer must master avariety of skills. Since it involves the techniques of a number of the engineering

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SYSTEMS DESIGN 1-03 and scientific disciplines, control system design demands a broad under- standing of basic physical principles and a thorough working knowledge of practical components. To emphasize this requirement, a list of repre- sentative topics that might be included in the training of system designers is presented in Table 2. The breadth of these studies and the extensive

TABLE 2. REPRESENTATIVE BACKGROUND FOR CONTROL SYSTEM DESIGN

Mathematics Engineering

Vector analysis Circuit theory and network

Laplace transform and Fourier synthesis

analysis Applied electronics

Functions of a complex variable Feedback control Differential and integral equations Energy conversion Probability and statistics Hydraulics

Numerical analysis Pneumatics

Advanced algebra Principles of radar

Information theory Machine design

Operations research and game Chemical engineering

theory Measurement and instrumentation

Basic Science Switching circuits

Classical and statistical mechanics Digital computing techniques Thermodynamics and heat Analog computing techniques

Optics Pulse circuits

Electromagnetic theory Nonlinear mechanics Atomic, molecular, and nuclear Aerodynamics

physics Metallurgy

Geophysics Hea t engineering

Astrophysics Solid state devices

Acoustics

scope of control system applications illustrate that, in order to do even a very little in the field, one must know a great deal. Moreover, this strong academic background must be supplemented by a high degree of practical, mechanical ability.

In general, however, each control system problem is unique and the background demanded of the designer varies accordingly. It is hardly likely that anyone control engineer is expert on all the subjects listed in Table 2.

3. FORMULATION OF THE DESIGN PROBLEM

Design procedures for control systems vary from problem to problem and any suggested approach, such as the one that follows, can be treated only as a rough guide that must be modified to suit specific control situa- tions. Procedural patterns in control work recur frequently enough, however, to warrant the presentation of a generalized design procedure.

Problem Definition. The first task facing the designer is to define his problem precisely or even to perceive that a problem exists. The

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1-04 SYSTEMS ENGINEERING

statement of the problem may be specific or may be so indeterminate that it can be expressed only in statistical terms. For example, the prob- lem might be to perform a fixed set of operations, as in a bottling machine, or to maintain a sequence of specified conditions, as in a chemical process.

Other control systems are called u:pon to adapt themselves to a variety of changing circumstances, in which case the statement of the problem in- volves the determination of the range of these conditions. In many cases, future, as well as present, requirements must be specified. The planning of military systems is extremely difficult in this respect in that every weapons system requires an estimate of what the enemy capabilities will be several years in the future. The problem, in this case, is a matter of speculation.

Most nonmilitary control problems can be formulated with some degree of precision, although even here it is not uncommon for design specifica- .tions to be based on estimated requirements. The capacity of an auto-

mat~c freightyard, for example, would depend on the railroad's expected future traffic situation.

Typical of the data that the designer tries to establish at the outset are inputs, outputs, overall performance requirements, environment, economic factors, and time schedules. These are the basic ingredients of the problem.

Operations Research. The relatively new discipline of operations research can be used to advantage at this stage of the planning, particu- larly in translating a. vague, functional requirement into quantitative terms. As an illustration, in designing an air traffic control system for a metropolitan area one would naturally have to specify the capacity of the system (see Ref. 1). From aircraft manufacturing data, Federal Aviation Agency route plans, military and airline traffic estimates, and from cur- rent airport operational ~ata, an estimate could be made of the future traffic situation. If the expected average rate of aircraft arrivals to the area is QA, and the average rate at which the airport facilities can land plan·es is QL, it is possible to compute the probability Pn that n aircraft will be waiting to land when servicing has reached an equilibrium. By the queueing theory of operations research (see Vol. 1, Chap. 15, Operations Research, Sect. 5, Waiting Time Models)

(1)

The mean number of planes waiting to land will be

(2)

~

=

:t

nPn = QA/QL

n=O 1 - (QA/QL)

(30)

SYSTEMS DESIGN 1-05 Figure 1 shows the variation of the mean number of planes waiting to land, W, with the ratio Q~t!QL. Before undertaking such an analysis, one might intuitively assume that a landing capacity QL equal to the average rate of arrival Q"l would be adequate. However, from Fig. 1 it is clear that a much greater landing capacity is required to prevent the incoming traffic from saturating the system. In cases such as this, a quantitative analysis can often rescue the intuition from major blunders.

Unfortunately, the converse is occasionally true. A poorly conceived analysis may also lead common sense astray.

Mean number 8

of aircraft waiting 6 to land

1

4

W 2

QA _ Avg. arrival rate QL - Avg.landing rate -

FIG. 1. Queued aircraft as a function of the ratio of arrival rate to landing capacity.

Setting Limits. In formulating a problem, care must be exercised to avoid expanding it beyond its efficient limits. In lieu of a thorough study of the real requirements for a system, there is also. a temptation to set excessively stringent specifications in the hope that all possible contin- gencies will be adequately covered. On the other hand, a more serious error is to understate the problem. Similarly, the partial treatment of a problem often has only limited usefulness. For example, the design of a traffic control system to coordinate the arrival of 200 aircraft into an area per hour would be of little use if a landing system having a capacity of 20 planes per hour were r~tained .. These two problems must be treated as an integrated whole. In fact, the modern emphasis on the overall sys- tems approach to complex problems originated in the proven inadequacy

of piecemeal attacks.

Importance. It would be difficult to overemphasize the importance of a well-conceived statement of the problem in control system design.

Often this statement more or less completely determines the nature of the design, the cost, and the ultimate effectiveness of the system. In many

(31)

1-06 SYSTEMS ENGINEERING

cases, additional effort spent on this initial planning can prevent a control system from being stillborn.

4. SYSTEM FUNCTIONS

Simple Sequence Control. Having defined the problem, the designer next outlines the operations necessary to cope with it. In some applica- tions, where the problem might consist simply of a sequence of functions to be performed, these two steps are closely related.

EXAMPLE. A typical functional sequence can be listed for the automatic machine tool shown in Fig. 2. This machine automatically loads, rough

FIG. 2. Rough boring unit for engine blocks. (Courtesy T. C. Cameron, Sundstrand Machine Tool Co.)

bores, chamfers, transfers, and unloads engine blocks. At the same time it performs the auxiliary functions of lubrication and chip removal. The functional cycle is as follows:

1. The transfer bar lowers to engage work. .

2. The transfer bar advances and moves each part to the next station.

3. The locating pins in each fixture rise . . 4. The clamps lower to secure the part.

(32)

SYSTEMS DESIGN 1-07 5. The transfer bar raises, then returns; simultaneously all heads start rapid approach.

6. Heads feed individually.

7. Heads return rapidly individually.

8. The locating pins drop, and the clamps rise.

9. The cycle is repeated if a new part is available and the finished part has been removed from the unload station.

A system of limit switches, solenoid valves, clamps, locating pins, and transfer devices positions the engine blocks in sequence and actuates the feed and withdrawal of the machine heads. A limit switch is required at the .end of each motion and at any point in the cycle where a machine member stops, starts, or changes rate. From the time sequence of these functions, the designer can draw up a cycle diagram showing the order in which the operations take place. Figure 3 illustrates such a diagram for the rough bore machine (see Ref. 6).

Control Logic. Although the rough bore cycle can be interrupted by malfunctions or by manual intervention, this machine generally illustrates a large class of special purpose control systems for which the operation is a simple sequence of specified steps. The logic controlling such machines can be considerably more complex than the elementary example just cited, and operations based on position, time, and arbitrary combinations of conditions can be instrumented by using switching circuits. Control sys- tems can even be designed with the ability to choose between alternate modes of operation depending on the circuplstances. In Boolean nota- tion, one can express a typical decision as follows. (See Vol. 2, Chap. 17.) (3)

(4)

(A

+

B)·C = D, (A

+

B)·a = E.

In words, these equations state that if condition A or condition B exists and if condition C also exists, then response D will be activated. How- ever, if condition A or condition B exists and condition C does not exist, then response E will be activated. The switching circuit for implement- ing this decision is shown in Fig. 4. vVhen complex logical nets are built up using basic and-or elements, these switching circuits can often be greatly simplified by algebraic manipulation of the Boolean equations.

(See Vol. 2, Chap. 17 for a table of Boolean equivalences.) To illustrate this point, note the simplification of the following Boolean equation.

(5) AB

+

AB = A(B

+

B) = A.

The corresponding switching circuits are also shown in Fig. 4.

Programmed Control. lVlore flexible control systems than the fixed

(33)

Station 1

lS-Sl Station loaded

Station 2

SV-9I SV-ll Head lS-lO

I SV-91

lS-9

SV-lO SV-ll

Station 3

SV_16]

SV-18 Head lS-17 SV-16I

1

lS-181 I

lS-16

SV-17 SV-18

Station 4

SV-231 SV-25 Head lS-24 SV-23 I I

I lS-251

lS-23

SV-24 SV-2S

Station 5

SV-30]

SV-32 Head lS-31 SV-30 I I

lS-32 I I

Station 6 Station 7 lS-30 SV_37] lS-37 SV_46!

SV-39 Head SV-48 Head

SV-31 SV-38

SV-32 lS- 381 SV-39 lS-47 I SV-37 I SV-46 I

SV-40 lS-391 SV-49 lS-48 I lS-41 _~..J lS-50 _~...J ....

lS-46

SV-47 SV-48 I

lS-ll ~

.J I I I Chamfer)tool Chamfer)otool

SV-41 lS-40 SV-50 ~S ... 49

Clamp Clamp Clamp Clamp Clamp Clamp

SV-7 lS-8 SV-14 lS-lS SV-21 lS-22 SV-28 lS-29 SV-35 lS-36 SV-44 lS-45 lS-6 )

SV-12 SV-19 SV-26 SV-33 . SV-42

Clamp

SV-51l~ling

pms lS-7 SV-8

lS-13

l '

lS-14 SV-lS lS-20

t

- + - -

lS-21 SV-22

lS-2} ,

lS-28 SV-29

lS-34

1 '

lS-3S SV-36 LS-

43

C->

lS-44 SV-45 locating Unc1!mp

t

SV-13

Unc~mp t

SV-20

Unc~mp t

SV-27

pins lS-12 lS-19 lS-26

o Starting position - - Rapid traverse - - - Feed

Unclamp

lS limit switch operating where shown in cycle SV Solenoid valve energized to cause motion shown

SV-4"

lS-3

t

40 lS-l

SV-l Transfer cycle

t

SV-2

lS-2 » lS-4

SV-3

Unc1~mp t

SV-34

Uncla~p t

SV-43

lS-33 lS-42

Station 8

lS-52 Station loaded

FIG. 3. Cycle diagram showing machine sequence controls. (Courtesy T. C. Cameron, Sundstrand Machine Tool Company.)

00 6

(J) -< VI

~ m VI ~

Z m

Z Q

m m

;:c

Z Q

(34)

Supply voltage

SYSTEMS DESIGN

n

Relay coil

E Relay

coil

Is equivalent to

A

(A +B)·C=D (A+B).C=E

FIG. 4. Simple switching logic circuits.

1-09

logic machines just discussed are possible if the sequence of operations is controlled by a program of instructions which can be read or set into the system. In these cases, the system must be designed to accommodate a range of instructions and performance requirements. By simply revising the program, one can change the functions of the system.

Continuous Control. In contrast to the fixed logic and programmed control systems above, there is a more sophisticated class of controls that continuously and automatically adjust themselves to the state of the process or operation being controlled. Process controls in which the state of the process is monitored and in which these data are used to regu- late the· operations of the process are typical of this class. An autopilot that must stabilize the orientation of an aircraft in space under such con- ditions as atmospheric turbulence is a second illustration. In this case, the autopilot function is to detect deviations of the aircraft heading and orientation from the desired state and to actuate the control surfaces of the aircraft so as to reduce this deviation to zero.

In the process industry, the basic functions have been classified, and Table 3 lists these so-called unit operations and unit processes. It is common practice to exercise control over each of these operations indi- vidually, rather than attempt the integrated control of multiple functions.

See Chap. 3, Automatic Machines; Chap. 7, Instrumentation Systems;

and Chap. 10, Single and Multiple Loop Controls.

(35)

1-10 SYSTEMS ENGINEERING

TABLE 3. UNIT FUNCTIONS IN PROCESS CONTROL (Ref. 7) Combustion

Oxidation Neutralization Silicate formation Causticization Electrolysis

Double decomposition Calcina tion

Dehydration Nitration Fluid flow Heat transmission Evaporation Distillation and

sublimation Gas absorption

Esterifica tion Reduction Ammonolysis Halogenation SuI phonation Hydrolysis Alkylation Friedel-Crafts Condensation Humidification and

cooling Drying Adsorption

Solvent extraction and dialysis

Polymeriza tion

Diazotiza tion and coupling Fermentation Pyrolysis (cracking) Aroma tiza tion Isomeriza tion Acylation Oxo reaction

Mechanical separatIOn Size reduction Size enlargement Mixing

High-pressure techniques

Movement and storage of materials

Criteria for Control. In the design of many complex control systems, the desired functioning of the system may not be at all obvious. In the case of the air traffic control problem previously cited, for example, the designer must decide what the most efficient sequence of functions would be, let us say, to maximize the rate of landing aircraft. Confronted by a problem of this complexity, intuition alone is usually inadequate, and re- course to the formal mathematical techniques of operations research may be necessary. The mathematical model here would have to consider in- coming and outgoing routes, altitudes, aircraft speeds and endurance, local geographic features, Federal Aviation Agency regulations, and waiting procedures, all under a variety of weather and traffic conditions.

A single functional sequence would be inadequate under such circum- stances, and the control system would have to be capable of several alter- nate modes depending on the situation.

In every case, stating the functional requirements for a system im- plies a quantitative specification of how well these functions must be per- formed. These functional specifications are the basis for the unit and component specifications to be established later in the design.

5. DETAILED SYSTEM DESIGN System Block Diagram

Having established what the control system is to do, the designer next translates this concept into a system block diagram. This is essentially the creative stage in the history of the design. There are innumerable ways to solve a given control system problem, and the designer must de-

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