Analiza modela stabla kvara binarnim dijagramima odluke

scientific master's theses

• Title (english): Fault tree model analysis with binary decision diagrams
• Author: Reni Banov; MBZ: -331029
• Mentor: Zdenko Šimić (mentor)
• Committee member: Vladimir Mikuličić (predsjednik povjerenstva)
• Committee member: Zdenko Šimić (član povjerenstva)
• Committee member: Damir Šljivac (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; (Department of Energy and Power Systems); Zagreb
• Defense date and country: 2010-12-03, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Electrical Engineering; Power Engineering
• Universal decimal classification (UDC): 621.3; APPLIED SCIENCES. MEDICINE. TECHNOLOGY; Electrical engineering

Abstract

U ovom ću radu detaljno predstaviti postupak prikaza stabla kvara pomoću dijagrama binarne odluke. Osim toga pokazat ću kako se iz takvog prikaza stabla kvara mogu vrlo efikasno izvesti važni kvantitativni parametri stabla kvara. Predstavljanjem stabla kvara pomoću dijagrama binarne odluke djelotvornim postupkom minimizacije dobiva se minimalna disjunktna forma koja predstavlja polazno stablo kvara. Iz minimalne forme određuje se jednostavnim postupkom sve ili samo neke kombinacije osnovnih događaja neophodne za ostvarivanje neželjenog vršnog događaja. Osim identifikacije neželjenih kombinacija osnovnih događaja, iz prikaza pomoću dijagrama binarne odluke mogu se za svaku pojedinu osnovnu komponentu (osnovni događaj) odrediti važni empirički parametri. Tim postupkom moguće je odrediti mjere važnosti svake komponente, primjerice: faktor porasta rizika, faktor smanjenja rizika, Fussel−Vesely mjera važnosti, koeficijent osjetljivosti i ostali parametri. U radu su prikazani razvijeni algoritmi za određivanje mjera važnosti za komponente uz pripadajuće rezultate za konkretne primjere iz literature i iz prakse dobivenim na dijelovima modela stabla kvara za nuklearnu elektranu "Krško". Osobito je važno istaknuti prednosti ovakvog pristupa u egzaktnom kvantitativnom izračunu stabla kvara naspram alternativnih prikaza koji daju samo približne rezultate.

Abstract (english)

In this paper I shall lay out in a detailed way the procedure of representing a fault tree through binary decision diagrams. In addition to that I shall show how highly important quantitative fault tree parameters can efficiently be derived from a fault tree representation. The fault tree representation through binary decision diagrams with the aid of efficient minimisation procedures results in a minimal disjunctive form, which corresponds to the initial fault tree. Out of these minimal forms by simple procedures all or only some combinations of basic events are determined, which are essential for the achievement of unwished top events. Beside the identification of unwished combinations of basic events, the representation through binary decision diagrams enables the determination of relevant empirical parameters for each elementary component (basic event). This procedure enables the establishment of the importance factor of every component e.g. risk increase factor, risk decrease factor, Fussel−Vesely importance factor, critical importance factor and others. The thesis also presents developed algorithms for the determination of importance measures for components as well as respective results for actual examples from the literature and praxis relating to parts of model fault trees for the nuclear power plant "Krško". It is particularly important to emphasize the advantages of such an approach in the exact quantitative calculation of fault trees compared to alternative representations which bring only approximate results.

• Keywords: stabla kvara; dijagrami binarne odluke; analiza pouzdanosti; mjere važnosti
• Keywords (english): fault tree; binary decision diagrams; reliability analysis; importance measures
• Language: croatian
• URN:NBN: urn:nbn:hr:168:528172
• Project: Number: 036-0361590-1589; Title: Nuklearne elektrane za održivu proizvodnju električne energije; Leader: Danilo Feretić; Jurisdiction: Croatia; Funder: MZOS; Funding stream: ZP
• Study programme: Title: Postgraduate master programme in electrical engineering; Study programme type: university; Study level: postgraduate; Academic / professional title: Magistar znanosti elektrotehnike (Magistar znanosti elektrotehnike)
• Catalog URL: http://lib.fer.hr/cgi-bin/koha/opac-detail.pl?biblionumber=34420
• Type of resource: Text
• Extent: 72 str. ; 30 cm
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2019-06-12 08:33:11