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GB/T 37981-2019: Analysis techniques for dependability - Reliability block diagram and Boolean methods
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Analysis techniques for dependability - Reliability block diagram and Boolean methods
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GB/T 37981-2019
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Basic data | Standard ID | GB/T 37981-2019 (GB/T37981-2019) | | Description (Translated English) | Analysis techniques for dependability - Reliability block diagram and Boolean methods | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | L05 | | Classification of International Standard | 03.120.01; 03.120.99 | | Word Count Estimation | 30,334 | | Date of Issue | 2019-08-30 | | Date of Implementation | 2020-03-01 | | Issuing agency(ies) | State Administration for Market Regulation, China National Standardization Administration | GB/T 37981-2019: Analysis techniques for dependability - Reliability block diagram and Boolean methods
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Analysis techniques for dependability - Reliability block diagram and boolean methods
ICS 03.120.01; 03.120.99
L05
National Standards of People's Republic of China
Credibility analysis
Reliability Block Diagram Method and Boolean Algebra
(IEC 61078.2006, IDT)
Published on.2019-08-30
2020-03-01 implementation
State market supervision and administration
China National Standardization Administration issued
Content
Foreword III
Introduction IV
1 Scope 1
2 Normative references 1
3 Terms and Definitions 1
4 symbols and abbreviations 1
5 Assumptions and Limitations 2
5.1 Independence of events 2
5.2 Sequence Events 2
5.3 Failure time distribution 3
6 Determine system success/failure definition 3
6.1 General considerations 3
6.2 Detailed considerations 3
6.2.1 System Operation 3
6.2.2 Environmental conditions 3
6.2.3 Work cycle 3
7 basic model 4
7.1 Development Model 4
7.2 Evaluation Model 6
7.2.1 Series Model 6
7.2.2 Parallel Model 6
7.2.3 n in the m model (same product) 6
7.2.4 Alternate Redundancy Model 7
8 More complex model 8
8.1 General procedure 8
8.1.1 Background 8
8.1.2 Using full probability theory 8
8.1.3 Use of Boolean truth tables 9
8.2 Shared Module Model 12
8.3 n in the m model (not the same product) 13
8.4 Simplified method 14
9 Extended Reliability Block Diagram Method for Availability Calculation 15
Appendix A (informative) Formula summary 16
Appendix B (informative) Boolean disjoint method 18
B.1 Introduction 18
B.2 Symbol 18
B.3 Principles - Boolean variables and probability variables 19
B.4 Disjoint Boolean Expression Method 19
B.4.1 Background 19
B.4.2 Disjoint principle 19
B.4.3 Disjoint process 19
B.5 Note 20
B.6 Application Disjoint Program Example 20
Reference 22
Figure 1 Series reliability block diagram 4
Figure 2 Replicated (or parallel) series reliability block diagram 4
Figure 3 Series replication (or parallel) reliability block diagram 4
Figure 4 Hybrid Redundancy Reliability Block Diagram 4
Figure 5 Another type of hybrid redundancy reliability block diagram 5
Figure 6 2/3 redundancy 5
Figure 7 2/4 redundancy 5
Figure 8 is not easy to represent the block diagram of the module in series/parallel 5
Figure 9 Parallel setting of the module 6
Figure 10 Spare Redundancy 7
Figure 11 Figure 8 is a block diagram 8 when product A is not working.
Figure 12 Figure 8 is a block diagram 9 when Product A is working properly.
Figure 13 1/3 parallel setting 9
Figure 14 Reliability diagram using arrows to help define system success 12
Figure 15 Figure 14 shows another block diagram of the shared module.
Figure 16 2/5 system of different products 14
Figure 17 Module grouping diagram before simplification 14
Figure 18 Simplified reliability block diagram 15
Table 1 Figure 13 Example truth table application 10
Table 2 Figure 8 example truth table application 10
Table 3 The truth table application 13 of the example of Figure 14 and Figure 13
Table A.1 Summary of System Reliability Formulas for Basic Structures 16
Foreword
This standard was drafted in accordance with the rules given in GB/T 1.1-2009.
This standard uses the translation method equivalent to IEC 61078.2006 "Reliability Analysis Technology Reliability Block Diagram Method and Boolean Algebra Method".
This standard has made the following editorial changes.
--- In order to make the diagram consistent with the explanatory text, the format of the characters in some basic configuration diagrams in Table A.1 of Appendix A is modified;
--- In order to maintain the consistency of the full-text formula, the product symbol "·" omitted by some formulas is added;
--- Table A.1 of Appendix A, supplemented by the ellipsis missing from the partial basic configuration diagram consisting of n modules.
This standard was proposed by the Ministry of Industry and Information Technology of the People's Republic of China.
This standard is under the jurisdiction of the National Technical Committee for Reliability and Maintainability of Electrical and Electronic Products (SAC/TC24).
This standard was drafted. The Fifth Institute of Electronics, Ministry of Industry and Information Technology.
The main drafters of this standard. Yu Min, Yang Chunhui, Ji Chunyang, Liu Mengyu.
Introduction
Different methods can be used for credibility analysis, and reliability block diagram (RBD) is one of them. When applying one or a composite application
When evaluating the reliability and availability of a given system or component in several ways, the analyst can prioritize the RBD method, and also consider each
The results available in one method, the data required for analysis, the complexity of the analysis, and other factors in this standard.
The RBD method is a graphical representation of the reliability of the system, which can represent the successful operation of the system (which will be used later in the "system success").
(Function) The logical relationship of the component.
Credibility analysis
Reliability Block Diagram Method and Boolean Algebra
1 Scope
This standard describes the process of system credibility analysis modeling and the use of models to calculate reliability and availability metrics.
Reliability Block Diagram (RBD) modeling technology is mainly used for systems that do not consider repairs and do not consider the order of failures.
Other ordering techniques (such as the Markov method) would be more appropriate for systems with a sequence of repairs or repairs.
It should be noted that although the term “repair” is often used in this standard, the term “recovery” is equally applicable. It should also be noted that
“Products” and “Modules” are also widely used in this standard and are interchangeable in most cases.
2 Normative references
The following documents are indispensable for the application of this document. For dated references, only dated versions apply to this article.
Pieces. For undated references, the latest edition (including all amendments) applies to this document.
GB/T 2900.13-2008 Electrotechnical terminology credibility and quality of service (IEC 60050-191.1990, IDT)
IEC 61025 Fault Tree Analysis (FTA) [Faulttreeanalysis (FTA)]
ISO 3534-1.1993 Statistical terms and symbols - Part 1. Probability and basic statistical terms (Statistical-Vocabulary
andsymbols-Part 1.Probabilityandgeneralstatisticalterms)
3 Terms and definitions
The terms and definitions defined in GB/T 2900.13-2008 and ISO 3534-1.1993 apply to this document.
4 symbols and abbreviations
The following symbols and abbreviations apply to this document.
Symbol/abbreviation meaning
A, B, C, in Boolean expressions, these symbols indicate that products A, B, C, etc. are available
A, B, C, in Boolean expressions, these symbols indicate that products A, B, C, etc. are not available
FS system failure probability
fA(t) Probability density function for module A. The term "module" is used to mean a collection of one or more components.
Pr(SS|Xfailed) Conditional probability of assuming system success when product X is not working
R, R(t), RS(t) Reliability. The probability that the product will perform the required function under given conditions and within a given time interval (0, t)
Reliability of RA, RB, .. module A, module B, etc.
RS system reliability
RSW detection and conversion device reliability
SF system failure (used in Boolean expressions)
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