• Title/Summary/Keyword: minimal cut set

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Development and Implementation of Measures for Structural and Reliability Importance by Using Minimal Cut Sets and Minimal Path Sets (최소절단집합과 최소경로집합을 이용한 구조 및 신뢰성 중요도 척도의 개발 및 적용)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.14 no.1
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    • pp.225-233
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    • 2012
  • The research discusses interrelationship of structural and reliability importance measures which used in the probabilistic safety assessment. The most frequently used component importance measures, such as Birnbaum's Importance (BI), Risk Reduction (RR), Risk Reduction Worth (RRW), RA (Risk Achievement), Risk Achievement Worth (RAW), Fussel Vesely (FV) and Critically Importance (CI) can be derived from two structure importance measures that are developed based on the size and the number of Minimal Path Set (MPS) and Minimal Cut Set (MCS). In order to show an effectiveness of importance measures which is developed in this paper, the three representative functional structures, such as series-parallel, k out of n and bridge are used to compare with Birnbaum's Importance measure. In addition, the study presents the implementation examples of Total Productive Maintenance (TPM) metrics and alternating renewal process models with exponential distribution to calculate the availability and unavailability of component facility for improving system performances. System state structure functions in terms of component states can be converted into the system availability (unavailability) functions by substituting the component reliabilities (unavailabilities) for the component states. The applicable examples are presented in order to help the understanding of practitioners.

Analysis of Failure and Electrical Fire for Bolt Induction Heating System Using FTA (FTA를 이용한 볼트 유도가열시스템의 고장 및 전기화재 분석)

  • Kim, Doo-Hyun;Kim, Sung-Chul;Eom, Haneol;Kang, Moon-Soo;Jeong, Cheon-Kee
    • Journal of the Korean Society of Safety
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    • v.36 no.4
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    • pp.12-19
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    • 2021
  • This paper presents a safety assessment method for FTA-based induction heating systems; the failures and causes of electrical fire are first analyzed for each part and module qualitatively, and methods to manage high probabilities of failure and electrical fire are considered, thereby improving the reliability of the induction heating system. The cumulative importance value (ACC) of the minimal cut set is drawn by setting failure as the top event, and STACK and SMPS are observed to account for about 70% of the induction heating system failures. Thus, intensively managing the basic events contained in the minimal cut set of failures for STACK and SMPS is expected to provide effective and stable operation of the induction heating system. When electrical fire is set as the top event, the STACK percentage is 90%. Accordingly, the current IGBT is changed to a FET to increase the applied voltage and prevent induction heating system failure, and a heat sink plane is installed to prevent FET heating caused by switching, thereby preventing an electrical fire. By classifying the parts and modules of the induction heating system in detail and by applying FTA based on actual failure rates and relevant data, more practical and reasonable results may be expected. Hence, continuous research must be conducted to ensure safety when using induction heating systems.

시뮬레이션과 네트워크 축소기법을 이용한 네트워크 신뢰도 추정

  • Seo, Jae-Jun;Jeon, Chi-Hyeok
    • ETRI Journal
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    • v.14 no.4
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    • pp.19-27
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    • 1992
  • Since. as is well known, direct computation of the reliability for a large-scaled and complex net work generally requires exponential time, a variety of alternative methods to estimate the network reliability using simulation have been proposed. Monte Carlo sampling is the major approach to estimate the network reliability using simulation. In the paper, a dynamic Monte Carlo sampling method, called conditional minimal cut set (CMCS) algorithm, is suggested. The CMCS algorithm simulates a minimal cut set composed of arcs originated from the (conditional) source node until s-t connectedness is confirmed, then reduces the network on the basis of the states of simulated arcs. We develop the importance sampling estimator and the total hazard estimator and compare the performance of these simulation estimators. It is found that the CMCS algorithm is useful in reducing variance of network reliability estimator.

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AIMS-MUPSA software package for multi-unit PSA

  • Han, Sang Hoon;Oh, Kyemin;Lim, Ho-Gon;Yang, Joon-Eon
    • Nuclear Engineering and Technology
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    • v.50 no.8
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    • pp.1255-1265
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    • 2018
  • The need for a PSA (Probabilistic Safety Assessment) for a multi-unit at a site is growing after the Fukushima accident. Many countries have been studying issues regarding a multi-unit PSA. One of these issues is the problem of many combinations of accident sequences in a multi-unit PSA. This paper deals with the methodology and software to quantify a PSA scenarios for a multi-unit site. Two approaches are developed to quantify a multi-unit PSA. One is to use a minimal cut set approach, and the other is to use a Monte Carlo approach.

Minimal Cut Set of Electric Power Installations using Fault Tree Analysis (FTA를 이용한 수변전설비의 최소절단집합 도출)

  • Park, Young-Ho;Kim, Doo-Hyun;Kim, Sung-Chul
    • Journal of the Korean Society of Safety
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    • v.32 no.1
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    • pp.41-46
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    • 2017
  • In this paper, from making an electrical fire which is thought to be the most damaging among potential dangers as a top event, minimal cut sets (MCS) about it were analyzed. For this, components of a power substation were classified into 15 items. Failure rates and modes were extracted based on Korea Electrical Safety Corporation, IEEE Gold Book, and RAC. To analyze the top event (an electrical fire), main events were assorted into "safety devices for overcurrent" and "ampere meter of detecter". Failure of components was divided into failure of VCB, COS, and MCCB. A fault tree was composed of 3 AND gate, 5 OR gates and 17 basic events. Overlapped events among the basic events are things which occur from relevant components. They were attached to the tree by distinguishing identifiers. In case of FT, two minimal cut sets of "IO_METER", "MF_METER", "DO_MCCB" and "IO_METER", "MF_METER", "DO_VCB" take 46% of electrical fires. Therefore, about basic events which are included in the top two minimum cut sets, strict control is necessary.

Expert System for FMECA Using Minimal Cut Set and Fuzzy Theory (최소절단집합과 퍼지이론을 이용한 FMECA 전문가 시스템)

  • Kim, Dong-Jin;Kim, Jin-O;Kim, Hyung-Chul
    • Journal of the Korean Society for Railway
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    • v.12 no.3
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    • pp.342-347
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    • 2009
  • Failure Mode Effects and Criticality Analysis (FMECA) is one of most widely used methods in modern engineering system to investigate potential failure modes and its severity upon the system. While performing FMECA, the experts evaluates criticality and severity of each failure mode and visualize the risk level matrix putting those indices to column and row variable respectably. Which results uncertainty in the result. In order to handle the uncertainty and conclude risk level matrix, this paper proposes a new FMECA procedure using minimal cut set (MCS) and fuzzy theory. Severity is calculated by proposed structural importance while criticality is determined by typical equipment failure rate data from IEEE Std 493. Finally, the risk level is compounded of these indices.

Improvement Strategy of System Unavailability by Review of Logical Structure and Reliability Importance of Reliability Block Diagram (RED) and Fault Tree Analysis (FTA) (RBD와 FTA의 논리구조와 신뢰성 중요도의 고찰에 의한 시스템 비시간가동률 개선방안)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.13 no.3
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    • pp.45-53
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    • 2011
  • The research proposes seven elimination rules of redundant gates and blocks in Fault Tree Analysis (FTA) and Reliability Block Diagram (RBD). The computational complexity of cut sets and path sets is NP-hard. In order to reduce the complexity of Minimal Cut Set (MCS) and Minimal Path Set (MPS), the paper classifies generation algorithms. Moreover, the study develops six implementation steps which reflect structural importance (SI) and reliability importance (RI) from Reliability Centered Maintenance (RCM) that a priority of using the functional logic among components is to reduce (improve) the system unavailability (or availability). The proposed steps include efficient generation of state structure function by Rare Event Enumeration (REA). Effective use of importance measures, such as SI and ill measures, is presented based on the number and the size of MCS and MPS which is generated from the reference[5] of this paper. In addition, numerical examples are presented for practitioners to obtain the comprehensive understanding of six steps that is proposed in this research.

Development of Accident Frequency Analysis S/W for Chemical Processes (화학공정의 사고 빈도 분석 S/W 개발)

  • Seo Jae Min;Shin Dong Il;Ko Jae Wook
    • Journal of the Korean Institute of Gas
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    • v.3 no.3 s.8
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    • pp.29-33
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    • 1999
  • ln this study, a computerized prototype program was developed with frequency analysis system as a main system and data base as sub-items to utilize data. Through use of gate-by-gate analysis and minimal cut set using boolean algebra, the frequency analysis program peformed the qualitative approach for the accident development path and a quantitative risk analysis. In conclusion, it is thought that the resulting installation will be effective for lessening the probability of accidents through use of this lower cost software.

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Safety Assessment for PCS of Photovoltaic and Energy Storage System Applying FTA (FTA를 적용한 태양광 발전 및 ESS 연계형 PCS의 안전성 평가)

  • Kim, Doo-Hyun;Kim, Sung-Chul;Kim, Eui-Sik;Nam, Ki-Gong;Jeong, Cheon-Kee
    • Journal of the Korean Society of Safety
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    • v.34 no.1
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    • pp.14-20
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    • 2019
  • This paper presents a safety assessment based approach for the safe operation for PCS(Power Conditioning System) of photovoltaic and energy storage systems, applying FTA. The approach established top events as power outage and a failure likely to cause the largest damage among the potential risks of PCS. Then the Minimal Cut Set (MCS) and the importance of basic events were analyzed for implementing risk assessment. To cope with the objects, the components and their functions of PCS were categorized. To calculate the MCS frequency based on IEEE J Photovolt 2013, IEEE Std. 493-2007 and RAC (EPRD, NPRD), the failure rate and failure mode were produced regarding the basic events. In order to analyze the top event of failure and power outage, it was assumed that failures occurred in DC breaker, AC breaker, SMPS, DC filter, Inverter, CT, PT, DSP board, HMI, AC reactor, MC and EMI filter and Fault Tree was drawn. It is expected that the MCS and the importance of basic event resulting from this study will help find and remove the causes of failure and power outage in PCS for efficient safety management.