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Presents the theory and methodology for reliability assessments of safety-critical functions through examples from a wide range of applications Reliability of Safety-Critical Systems: Theory and Applications provides a comprehensive introduction to reliability assessments of safety-related systems based on electrical, electronic, and programmable electronic (E/E/PE) technology. With a focus on the design and development phases of safety-critical systems, the book presents theory and methods required to document compliance with IEC 61508 and the associated sector-specific standards. Combining theory and practical applications, Reliability of Safety-Critical Systems: Theory and Applications implements key safety-related strategies and methods to meet quantitative safety integrity requirements. In addition, the book details a variety of reliability analysis methods that are needed during all stages of a safety-critical system, beginning with specification and design and advancing to operations, maintenance, and modification control. The key categories of safety life-cycle phases are featured, including strategies for the allocation of reliability performance requirements; assessment methods in relation to design; and reliability quantification in relation to operation and maintenance. Issues and benefits that arise from complex modern technology developments are featured, as well as: * Real-world examples from large industry facilities with major accident potential and products owned by the general public such as cars and tools * Plentiful worked examples throughout that provide readers with a deeper understanding of the core concepts and aid in the analysis and solution of common issues when assessing all facets of safety-critical systems * Approaches that work on a wide scope of applications and can be applied to the analysis of any safety-critical system * A brief appendix of probability theory for reference With an emphasis on how safety-critical functions are introduced into systems and facilities to prevent or mitigate the impact of an accident, this book is an excellent guide for professionals, consultants, and operators of safety-critical systems who carry out practical, risk, and reliability assessments of safety-critical systems. Reliability of Safety-Critical Systems: Theory and Applications is also a useful textbook for courses in reliability assessment of safety-critical systems and reliability engineering at the graduate-level, as well as for consulting companies offering short courses in reliability assessment of safety-critical systems.
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Veröffentlichungsjahr: 2014
Contents
Cover
Half Title page
Title page
Copyright page
Dedication
Preface
Acknowledgements
Chapter 1: Introduction
1.1 Introduction
1.2 Objectives and Scope
1.3 Functional Safety Standards
1.4 The Main Elements of a SIS
1.5 A Brief History
1.6 Structure of the Book
1.7 Additional Reading
Chapter 2: Concepts and Requirements
2.1 Introduction
2.2 System Hardware Aspects
2.3 Safety-Instrumented Functions
2.4 Modes of Operation
2.5 Safe State
2.6 Demands and Demand Rate
2.7 Testing of Safety-Instrumented Functions
2.8 Safety Integrity Levels (SILs)
2.9 Safety Life Cycle
2.10 Reliability of Safety-Instrumented Systems
2.11 Functional Safety Certificates
2.12 Safety Analysis Report
2.13 Functional Safety Assessment
2.14 Reliability and Decision-Making
2.15 Additional Reading
Chapter 3: Failures and Failure Analysis
3.1 Introduction
3.2 Failures and Failure Modes
3.3 Failure Causes and Mechanisms
3.4 Failure Effects
3.5 Failure/Fault Classification
3.6 FMECA
3.7 FMEDA
3.8 Additional Reading
Chapter 4: Testing and Maintenance
4.1 Introduction
4.2 Testing
4.3 Maintenance
4.4 Additional Reading
Chapter 5: Reliability Quantification
5.1 Introduction
5.2 Reliability Block Diagrams
5.3 Fault Tree Analysis
5.4 The Beta-Factor Model
5.5 Markov Approach
5.6 Petri Net Approach
5.7 Additional Reading
Chapter 6: Reliability data Sources
6.1 Introduction
6.2 Types of Data
6.3 Failure Modes
6.4 Generic Failure Rate Sources
6.5 Plant-Specific Reliability Data
6.6 Data Dossier
6.7 Additional Reading
Chapter 7: Demand Modes and Performance Measures
7.1 Introduction
7.2 Mode of Operation According to the IEC Standards
7.3 Functional Categories
7.4 Operational Strategies
7.5 Reliability Measures
7.6 PFDavg versus PFH
7.7 Placement of the SIF
7.8 Analytical Methods
7.9 Assumptions and Input Data
7.10 Additional Reading
Chapter 8: Average Probability of Failure on Demand
8.1 Introduction
8.2 Reliability Block Diagrams
8.3 Simplified Formulas
8.4 The IEC 61508 Formulas
8.5 The PDS Method
8.6 Fault Tree Approach
8.7 Markov Approach
8.8 Petri Net Approach
8.9 Additional Reading
Chapter 9: Average Frequency of Dangerous Failures
9.1 Introduction
9.2 Frequency of Failures
9.3 Average Frequency of Dangerous Failures (PFH)
9.4 Simplified PFH Formulas
9.5 The IEC 61508 Formulas
9.6 Alternative IEC Formulas
9.7 The PDS Method
9.8 Fault Tree Approach
9.9 Markov Approach
9.10 Petri Net Approach
9.11 PFDavg or PFH?
9.12 Additional Reading
Chapter 10: Common-Cause Failures
10.1 Introduction
10.2 Causes of CCF
10.3 Defenses Against CCF
10.4 Explicit Versus Implicit Modeling
10.5 The Beta-Factor Model
10.6 The Binomial Failure Rate Model
10.7 Multiplicity of Faults
10.8 The Multiple Beta-Factor Model
10.9 CCF Modeling with Petri Nets
10.10 CCFs Between Groups and Subsystems
10.11 Additional Reading
Chapter 11: Imperfect Proof-Testing
11.1 Introduction
11.2 Proof Test Coverage
11.3 Splitting the Failure Rate
11.4 Adding a Constant PFDavg
11.5 Nonconstant Failure Rates
11.6 Markov Models
11.7 Additional Reading
Chapter 12: Spurious Activation
12.1 Introduction
12.2 Main Concepts
12.3 Causes of Spurious Activation
12.4 Reliability Data for Spurious Operations
12.5 Quantitative Analysis
12.6 Additional Reading
Chapter 13: Uncertainty Assessment
13.1 Introduction
13.2 What Is Uncertainty?
13.3 Completeness Uncertainty
13.4 Model Uncertainty
13.5 Parameter Uncertainty
13.6 Concluding Remarks
13.7 Additional Reading
Chapter 14: Closure
14.1 Introduction
14.2 Which Approach Should Be Used?
14.3 Remaining Issues
14.4 A Final Word
Appendix A: Elements of Probability Theory
A.1 Introduction
A.2 Probability
A.3 Discrete Distributions
A.4 Life Distributions
A.5 Repairable Items
Acronyms
Symbols
Bibliography
Index
RELIABILITY OF SAFETY-CRITICAL SYSTEMS
Copyright © 2014 by John Wiley & Sons, Inc. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey.Published simultaneously in Canada.
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Library of Congress Cataloging-in-Publication Data:
Rausand, Marvin.
Reliability of safety-critical systems : theory and application / Marvin Rausand. pages cm Includes bibliographical references and index. ISBN 978-1-118-11272-4 (cloth) — ISBN 978-1-118-77635-3 — ISBN 978-1-118-55340-4 (ePDF) — ISBN 978-1-118-55338-1 (ePub) — ISBN 978-1-118-55337-4 (eMOBI) 1. Reliability (Engineering) I. Title. TA169.R375 2013 620’.00452dc232013034448
To Hella, Guro, Idunn, and Emil
PREFACE
This book provides an introduction to reliability assessment of safety-critical systems with a focus on safety-related systems that are based on electrical, electronic, and/or programmable electronic (E/E/PE) technology. Several international standards give requirements for the reliability, or safety integrity, of such systems. The most important of these standards is IEC 61508: Functional safety of electrical/electronic/programmable electronic safety-related systems. This standard introduces several new features, the most noticeable being (i) the life cycle approach with requirements for each phase of the life cycle, and (ii) the classification of requirements into four distinct safety integrity levels (SILs).
The standard has seven parts, is very comprehensive, and may be difficult to fully understand. As a performance-based standard, methods and formulas are just suggested and explanations and justifications are lacking. An objective of this book is therefore to introduce, describe, and extend these methods and formulas, explain how they can be used, and highlight their limitations.
IEC 61508 gives general requirements for E/E/PE safety-related systems and was developed as a basis for more detailed sector-specific standards. Several sector-specific standards have been developed, such as IEC 61511 for the process industry, IEC 62061 for machinery systems, IEC 61513 for the nuclear power industry, and ISO 26262 for the automotive industry. The intention was to obtain a unifying system of standards, but the terminology and the suggested approaches are not fully consistent across the various standards. This book focuses on IEC 61508 and the sector-specific standard for the process industry, IEC 61511.
The book concentrates on quantitative reliability analysis of the hardware of E/E/-PE safety-related systems. It does not treat software issues, human and organizational aspects, or the qualitative requirements of the standards. It is therefore not at all a replacement for IEC 61508 and its sector-specific standards, but I hope that the book will be regarded as a helpful supplement to the standards to meet the quantitative safety integrity requirements.
Many of the approaches described in this book are general and can be applied to analyze any safety-critical system, including those that are not based on E/E/PE technology. I therefore hope that this book will be of interest to a wide range of reliability engineers, also to those working outside the scope of IEC 61508.
SIL analysis and verification of SIL are important topics in many industries and many engineers struggle to understand all the requirements and how to perform the required calculations. IEC 61508 requires in Part 1, paragraph 6.2 that all persons with responsibilities related to the development and use of of E/E/PE safety-related systems shall have a sufficient competence (see also HSE, 2007). It is my hope that this book contributes to obtaining this competence and makes life easier for reliability engineers. The book is mainly aimed at engineers who are developing E/E/PE safety-related systems, with main roles as system designers, system integrators, and functional safety assessors. The book does not explicitly treat SIL in operation, but may all the same be useful for end-users of safety-related systems.
The technical report ISO/DTR 12489 is currently being developed with a scope similar to this book. The technical report (TR) is written as a guideline for the petroleum, petrochemical, and natural gas industries. Unfortunately, I did not see a draft of this TR early enough to let it influence much of my presentation.
Since the book is aimed primarily at reliability engineers who carry out reliability assessments of practical E/E/PE safety-related systems, I have refrained from too much mathematical rigor and included a high number of worked examples. I have also refrained from theory and methods that are too difficult to understand or will require too much efforts to use. I realize, however, that this may be a contested issue and that some readers will find the book too basic and others will find it far too advanced. Readers who find this book too basic may consult ISO/DTR 12489 for a more thorough treatment of some approaches, notably the Petri net approach and partly also the Markov approach.
When I started writing this book, I thought that I had adequate knowledge on reliability assessment of E/E/PE safety-related systems. After having read and re-read hundreds of research papers and reports, I realize that my knowledge is rather shallow, and I have again proved that “The more you understand, the more you realize that you do not understand.”
To fully appreciate the book, you should have a basic knowledge of probability theory. I have tried to reduce the use of difficult theory, but you still need to understand the basic concepts of probability theory. For this purpose, I have included a very brief introduction to probability theory as an appendix.
Comments to the Notation.
IEC 61508 is the main generic standard in this field, and I have carefully follow the terminology in this standard; with two notable exceptions:
General information and some useful mathematical results are presented in framed text-boxes, similar to the one you are reading now.
A large number of abbreviations and symbols are used in the book, and brief explanations are found as appendices.
I hope that you will enjoy reading this book as well as find it useful. I also hope that professors will find the book suitable as a textbook for courses in functional safety.
If you have questions or comments, you will find my email address on the book’s homepage http://www.ntnu.edu/ross/books/sis. On this homepage, you will also find slides, problems, and additional information related to the book.
M. RAUSAND
Trondheim, NorwayJuly 1, 2013
ACKNOWLEDGMENTS
This book started out as a joint project with Mary Ann Lundteigen. She has a master’s degree in cybernetics and has been working with maintenance of safety-instrumented systems in the Norwegian offshore oil and gas industry. She returned to the university and took a PhD degree in reliability of safety-instrumented systems with me as supervisor. Thereafter, she got a postdoc position, and we started to plan this book. After the postdoc period, she became my colleague. Unfortunately, she decided to leave the university to start working in a consulting company (DNV). In her new position, she was no longer able to continue participating in the book project, and 1 decided to carry on alone. With her thorough knowledge and experience on safety-instrumented systems, Mary Ann has had a significant influence on the book, and I am very grateful for her contribution.
My colleague, Yiliu Liu, also started out as a PhD and a postdoc in reliability of safety-instrumented systems, under my supervision. Yiliu has helped me to write the sections in this book related to Petri net analysis and also inspired me through numerous related discussions. Another colleague, Professor Jørn Vatn, has tested a draft of the book in an industry course and given many helpful comments.
During the book project, the cooperation with PhD students Hui Jin, Inger Lise Johansen, and Yukun Wang has been a great inspiration. They have raised many challenging questions and put forward many proposals.
Many students have written their master’s theses related to reliability assessment of safety-instrumented systems, often in cooperation with industry. It has been inspiring to work with all of them.
During the book project, I read many scientific papers and reports. I have tried to process, combine, and reformulate the information obtained in these sources and to give proper references. I hope that I have understood the messages in these sources, and that I have presented them in an acceptable way.
Many of the definitions used in the book are from the International electrotech-nical vocabulary (IEV) http://www.electropedia.org. I appreciate the initiative of the International Electrotechnical Commission (IEC) to make this vocabulary freely available. References to the vocabulary are given in the text as IEV 191-xx-yy, where 191 refers to the chapter Dependability and quality of service, and xx-yy is the number of the definition.
The author thanks the International Electrotechnical Commission (IEC) for permission to reproduce information from International Standards IEC 61508-4 ed.2.0 (2010) and IEC 62551 ed. 1.0 (2012). All such extracts are copyright of IEC, Geneva, Switzerland. All rights reserved. Further information on the IEC is available from http://www.iec.ch. IEC has no responsibility for the placement and context in which the extracts and contents are reproduced by the author, nor is IEC in any way responsible for the other content or accuracy therein.
I thank SINTEF for the permission to reproduce Table 8.8 and Statoil for the permission to use the picture “Melkøya Snøhvit Winter morning light” by Øyvind Hagen on the front cover of the book.
Last, but not least, I am grateful to the editorial and production staff at John Wiley & Sons for their careful, effective, and professional work.
M.R.
The title of this book, Reliability of Safety-Critical Systems, embraces a wide range of issues and may be too broad to truly represent the content of the book. Our intuitive understanding of a safety-critical system is a system whose failure may lead to harm to people, economic loss, and/or environmental damage. Some failures may lead directly to undesired consequences, while other failures may increase the risk of damage.
Whether or not a system is considered to be safety critical depends on the possible consequences of its failure. If the failure can result in consequences that are judged to be unacceptable, we say that the system is safety-critical.
Safety-critical systems are used in many products and application areas. The safety-critical systems that are considered in this book are technical systems and may, or may not, involve human operator actions. The scope is delimited to systems that are designed to perform one or more safety functions. A safety function is usually implemented to protect against a specific undesired event that can cause harm. The system that is protected by the safety-critical system is called equipment undercontrol (EUC). When the safety-critical system is medical equipment, the EUC may be a person.
Examples of safety-critical systems that may be assessed by the models and methods described in this book include:
An interlock is a device that is used to prevent a technical system (e.g., a machine) from harming people or damaging itself by stopping the system. An interlock can be a strictly mechanical item, such as a switch, but can also be rather sophisticated and based on infrared beams and photodetectors.
Consider an industrial robot that is used to stack boxes. The robot is often equipped with an interlocking system comprising a fence to avoid contact between moving parts of the robot and the human operator. If the operator opens the door, for example, to remove a misplaced box, the power is automatically isolated from the robot and the robot stops. Closing the door is normally not enough to re-power the robot. A reset button must also be pressed, to make sure that the operator has left the area inside the fence (e.g., see Department of Labour, 1987).
Another word in the title of the book is reliability. The reliability of an item is defined as “the ability of the item to perform a required function, under given environmental and operational conditions and for a stated period of time” (e.g., see Rausand & Høyland, 2004). The reliability of an item is always related to its required functions and it may therefore be more relevant to talk about the reliability of a function. In this book we are especially concerned about safety functions and the reliability of these functions. Several quantitative reliability measures for safety functions are defined and used in the following chapters.
A safety function that is performed by a safety-critical system may be categorized as follows:
Safety control function. A safety function that is a normal part of the operation of the EUC and/or integrated into the EUC control system (e.g., a railway signaling system, the braking system of an automobile).
Safety protective function. A dedicated safety function that is separate from the EUC control system and is only activated when the safety function is demanded (e.g., the ESD system in a process plant, the airbag system in an automobile).
Many safety-critical systems are based on electrical, electronic, or programmable electronic (E/E/PE) technology. The development of programmable electronics and computers continues at a fast pace, and the new technology gets more functions and becomes steadily cheaper, and finds its way into more and more advanced safety-critical systems.
In this book, we mainly consider safety-critical systems where E/E/PE technology plays an important role, often together with mechanical or other technology items. The important standard IEC 61508 Functional safety of electrical/electronic/programmable electronic safety-related systems designates these systems by the term E/E/PE safety-related systems. This term is long and difficult to pronounce, and the author therefore prefers to use the term safety-instrumented system (SIS), which is the corresponding term used in the process industry.
The IEC 61508 standard is introduced briefly in Section 1.3.1 and further discussed in Chapter 2. A notable feature of IEC 61508 is that it is risk-based, which means that reliability requirements for the E/E/PE safety-related systems (i.e., SISs) must be allocated based on the results from a risk analysis. We therefore start with a brief introduction to risk and risk analysis.
The term risk is complex and has been given a wide range of definitions (e.g., see Rausand, 2011). In this book, we define risk as the combined answer to the following three questions:
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