Browse > Article
http://dx.doi.org/10.3741/JKWRA.2007.40.9.735

A Segment-based Minimum Cutset Method for Estimating the Reliability of Water Distribution Systems  

Jun, Hwan-Don (Hanbat National Univ.)
Park, Jae-Il (Research Center for Disaster Prevention Science and Technology, Korea Univ.)
Baek, Chun-Woo (Dept. of Civil, Environmental and Architectural Eng., Korea Univ.)
Kim, Joong-Hoon (Dept. of Civil, Environmental and Architectural Eng., Korea Univ.)
Publication Information
Journal of Korea Water Resources Association / v.40, no.9, 2007 , pp. 735-742 More about this Journal
Abstract
In this study, a methodology which is based on segments and minimum outsets to estimate the reliability of a real water distribution system efficiently and accurately is suggested. The current reliability assessment models based on minimum cutset consider a pipe as only area impacted by a pipe failure which incurs underestimation of pipe failure impact. In contrary, the suggested methodology adopts "segment" and "unintended isolation" with the hydraulic pressure failure area to define the actual service interruption area in a water distribution system due to a pipe failure, which is different from the Previous reliability estimating methodologies. In addition, a minimum cutset is defined as a single segment incurring abnormal operating conditions and the success mode approach is used to account for the probability of multiple failure combinations of minimum outsets. The model considers numbers and locations of on-off valves when the service interruption area is defined. Once the methodology is applied to a real water distribution system, it is possible to define actual service interruption areas and using the defined areas, the reliability of the water distribution system is estimated reliably, compared with the previous reliability assessment methodologies.
Keywords
Water Network; Reliability Assessment Model; Segment; Minimum Cutset; Success Mode Approach;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Su, V.C., Mays, L.W., Duan, N. and Lansey, K.E. (1987). 'Reliability based optimization model for water distribution systems.' Journal of Hydraulic Engineering, ASCE, Vol. 114, No. 12, pp. 1539-1556   DOI   ScienceOn
2 Cullinane, M.J., Lansey, K.E., Member, ASCE and Basnet, C. (1989). 'Water distribution system design considering component failure during static conditions.' Hydraulic Engineering, proceedings of the 1989 national conference on hydraulic engineering, pp. 762-767
3 Ross, S.M. (1985). Introduction to probability models. Academic Press Inc., Orlando
4 Goulter, I.D. (1995). 'Analytical and simulation models for reliability analysis in water distribution systems.' Improving Efficiency and Reliability in Water Distribution System, E. Cabrera and A F. Vela, eds., Kluwer Academic, London
5 전환돈 (2005). '상수관 파괴시 관망의 부분적 격리를 고려한 피해범위 산정.' 한국수자원학회지, 한국수자원학회, 제39권, 제2호, pp. 89-98   과학기술학회마을
6 전환돈, 김중훈 (2006). '상수관망의 부분적 격리를 위한 제수밸브 탐색 알고리듬.' 상하수도학회지, 한국상하수도학회, 제20권, 제1호, pp. 35-43
7 Billinton, R. and Allan, R.N. (1983). Reliability evaluation of engineering systems: concepts and techniques. Pitman Books Limited, London
8 Jamil, A.T.M. and Ahmad, S.H. (1985). 'Reliability derivation by cutset approach.' Microelectronics and reliability, Vol. 25, No.4, pp. 789-795   DOI   ScienceOn
9 Mays, L.W, (1996). 'Review of reliability analysis of water distribution systems.' Stodastic Hydraulics '96, K. K. Tickle et al., eds., Balkema, Rotterdam, The Netherlands, pp. 53 -62
10 Mays, L.W. (2004). Water supply systems security. The McGraw-Hill companies, New York
11 Schabe, H. (1995). 'An improved algorithm for cutset evaluation from paths.' Microelectronics and Reliability, Vol. 35, No.5, pp. 783 -787   DOI   ScienceOn
12 Walski, T.M. (1993). ''Water distribution valve topology for reliability analysis.' Reliability Engineering & System Safety, Vol. 42, No.1, pp. 21-27   DOI   ScienceOn