Abstract
Safety instrumented systems (SIS) are more and more used in industry to replace conventional protection systems and functional safety standards (e.g. IEC 61508 2010 or ISO/TR 12489 2013) have been developed to deal with them. This chapter presents a critical analysis of the main functional safety concepts (e.g. safety integrity levels) and principles (e.g. fault tolerance), highlights why relying on the safe failure fraction (SFF) is questionable and explains how to perform the related probabilistic calculations (e.g. PFDavg, PFH). The functioning design—loss of power versus power emission, low versus high demand modes of operation—and the impact of fault tolerance are analysed. The mathematics allowing to obtain the ready-made simplified results proposed in IEC 61508-6 are developed and the difficulties and limitations of this approach lead to the conclusion that it should be superseded by the various systemic models described in the book: fault trees, Markov graphs or Petri nets. Models for the various types of failures—dangerous/safe, detected/non-detected by diagnostic or proof tests, non-covered (i.e. never detected)—are proposed. Simple SIS structures as well as multiple SIS are considered. The impact of test staggering is analysed as well as the various ways to take input data uncertainties into account.
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References
Bellman (1957) Dynamic programming. Princeton University Press, Princeton, USA
Boiteau M, Dutuit Y, Rauzy A, Signoret J-P (2006) The AltaRica data-flow language in use: modelling of production availability of a multi-state system. Reliab Eng Syst Safety 91:747–755 (Elsevier)
Brameret P-A, Rauzy A, Roussel J-M (2015) Automated generation of partial Markov chain from high level descriptions. Reliabil Eng Syst Safety (RESS) 139:179–187. https://doi.org/10.1016/j.ress.2015.02.009 Elsevier
Brissaud F, Vinuessa C, Folleau C (2019) Optimizing proof test policy for redundant safety-related systems. In Proceedings of the ESREL2019, Hannover, Germany
Ciliberti V, Ostebo R, Selvik J, Alhanati F (2019) Otimize safety and profitability by use of the ISO 14224 standard and big data analytics. OTC-19634-MS. Houston, USA
EXIDA Ed 4 (2015) Safety equipment reliability handbook: 3 volumes: sensors, logic solvers and interface modules, final elements. EXIDA. Sellersville. USA
Gödel K (1992) On formally undecidable propositions of principia Mathematica and related systems. Paperback. Systems. Dover Books on Mathematics
GRIF-Workshop (2020) Funded and developed by TOTAL, https://grif-workshop.fr/. Accessed Sept 2020
HSE (2020) ALARP at a glance. https://www.hse.gov.uk/risk/theory/alarpglance.htm. Accessed Sept 2020
IEC 60300-3-2 Ed. 2.0 (2004) Dependability management—part 3-2: application guide—collection of dependability data from the field. International Electrotechnical Commission (IEC), Geneva, Switzerland
IEC 60050-192 (IEV192) (2015) International electrotechnical vocabulary—Part 192: dependability. International Electrotechnical Commission (IEC), Geneva, Switzerland
IEC 61508 Ed. 2.0 (2010) Functional safety. Safety of electrical/electronic/programmable electronic safety-related systems (7 parts). International Electrotechnical Commission (IEC), Geneva, Switzerland
IEC 61511 Ed. 2.0 (2016) Functional safety. Safety instrumented systems for the process safety sector (3 parts). International Electrotechnical Commission (IEC), Geneva, Switzerland
Innal F (2008) Contribution to modelling safety instrumented systems and to assessing their performance—Critical analysis of IEC 61508 standard. (Ph.D. thesis) University of Bordeaux, France
Innal F et al (2014) Probability and frequency calculations related to protection layers revisited. J Loss Prev Proc Ind 31, 56–69 (Elsevier)
ISO/TR 12489 Ed. 1.0 (2013) Petroleum, petrochemical and natural gas industries. Reliability modelling and calculation of safety systems. International organization for standardization (ISO), Geneva, Switzerland
ISO 14224 Ed. 3.0 (2016) Petroleum, petrochemical and natural gas industries. Collection and exchange of reliability and maintenance data for equipment. International organization for standardization (ISO), Geneva, Switzerland
NOPSEMA (2015) ALARP guidance note. National Offshore Petroleum Safety and Environment Management Authority
OLF 070 (2018) Guidelines for the application of IEC 61508 and IEC 61511 in the petroleum activities on the continental shelf (Recommended SIL requirements). The Norwegian Oil Industry Association, Norway
OREDA Handbook (2015) Ed. 6.0 Offshore and Onshore reliability data. Prepared by SINTEF and NTNU. Hovik, Norway
Ostebo R, Dammen T (2006) Use of reliability data for Safety Instrumented Safety Systems. 30th ESReDA seminar, Trondheim, Norway
PDS data handbook (2013) Reliability data for safety instrumented system. SINTEF, Trondheim
Rogovin M, Frampton GF (1979) Three mile Island: a report to the commissioners and to the public Vol 1 to 3. NUREG/CR-1250. USNRC, USA
Rouvroye JL, Wiegerinick JAM (2006) Minimizing costs while meeting safety requirements: modelling deterministic (imperfect) staggered tests using standard Markov models for SIL calculations. ISA Trans 45:611–621 (Elsevier)
Selvik JT, Signoret JP (2020) How to interpret safety critical failures in risk and reliability assessment. Reliabil Eng Syst Saf (RESS) 161:61–68 (Elsevier)
Signoret J-P, Dutuit Y, Collas S, Cacheux P-J, Folleau C, Thomas P (2013) Assessment of the expected number and frequency of failures of periodically tested systems. Reliab Eng Syst Saf (RESS) 118: 61–70 (Elsevier)
Signoret J-P, Collas, Ostebo R (2014) Reliability modelling and calculation of safety systems: ISO/TR 12489. Presentation and application in TOTAL. 11th TÜV Rheinland International Symposium, Functional Safety in Industrial Applications. Cologne, Germany
STRMTG (2011) Systèmes de transport public guidés urbains de personnes. Principe «GAME» (Globalement Au Moins Équivalent) Méthodologie de démonstration. Service technique des remontées mécaniques et des transports guidés. République Française, Ministère de la transition écologique et solidaire. France
Wikipedia ALARP (2020). https://en.wikipedia.org/wiki/ALARP. Accessed Sept 2020
Wikipedia Aristotle (2020). https://en.wikipedia.org/wiki/Aristotle. Accessed Sept 2020
Wikipedia Bellman (2020). https://en.wikipedia.org/wiki/Richard_E._Bellman. Accessed Sept 2020
Wikipedia Gödel (2020) https://en.wikipedia.org/wiki/Gödel's_incompleteness_theorems. Accessed Sept 2020
Zhang Y, Rauzy A (2017) Modelling of a HIPPS with Altarica. RAMS Seminar, NTNU, Trondheim, Norway
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Signoret, JP., Leroy, A. (2021). Functional Safety Related Modelling and Calculations. In: Reliability Assessment of Safety and Production Systems. Springer Series in Reliability Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-64708-7_36
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