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Estimating the Reliability of Water Distribution Systems Using HSPDA Model and Distance Measure Method

HSPDA모형과 거리척도방법을 이용한 상수관망의 신뢰성분석

  • Baek, Chun-Woo (School of Envir. Systems Eng. & Centre for Ecohydrology, Univ. of Western Australia) ;
  • Jun, Hwan-Don (School of Civil Eng., Seoul National Univ. of Tech.) ;
  • Kim, Joong-Hoon (School of Civil, Envir. and Architect. Eng., Korea Univ.)
  • 백천우 ;
  • 전환돈 (서울산업대학교 공과대학 건설공학부) ;
  • 김중훈 (고려대학교 공과대학 건축.사회환경공학부)
  • Received : 2010.07.15
  • Accepted : 2010.08.16
  • Published : 2010.09.30

Abstract

Topological and hydraulic assessments to examine whether required demand and pressure are satisfied and using these assessed results as a criteria have been general methodology for reliability assessment of water distribution systems. However, many of existing studies that used nodal pressure calculated by hydraulic assessment for reliability assessment have two major issues to be solved. The one is that demand-driven analysis was used for hydraulic assessment and the other is that serviceability was not considered for reliability assessment. In addition, all of the studies used pressure-demand analysis which is suitable to hydraulic analysis for water distribution systems under abnormal operating condition considered only available nodal demand for reliability assessment. This means that advantages which can be obtained by pressure-driven analysis are not used properly and efficiently. In this study, new methodology for reliability assessment of water distribution systems using HSPDA model and distance measure method is suggested. This methodology considers both nodal pressure and nodal available demand for reliability assessment. Suggested methodology is applied to two water distribution systems to show its applicability and application results are compared with existing study.

'위상적 평가'와 '수리학적 평가'를 통해 수요절점에서 필요한 수량을 필요한 압력으로 충분히 공급할 수 있는지의 여부를 정량화하고 이를 신뢰성의 산정을 위한 기준으로 사용하는 것은 대표적인 상수관망시스템의 신뢰성산정 방법이다. 하지만 '수리학적 평가'를 이용한 수요절점에서의 압력확보 여부를 신뢰성 산정에 사용한 기존의 연구들은 'Demand-Driven Analysis의 사용'과 '사용성의 미고려'라는 두 가지 측면에 있어서 문제가 있다. 또한 비정상상태인 상수관망시스템의 수리모의 적합한 Pressure-Driven Analysis를 이용한 연구들도 신뢰성 산정에 있어 가능공급량만을 고려하고 사용성을 고려하지 않아, Pressure-Driven Analysis의 장점이 효율적으로 사용되지 않은 단점이 있다. 본 연구에서는 기 개발 된 Pressure-Driven Analysis 모형인 HSPDA모형과, 거리척도 방법을 이용하여 수량과 수압을 동시에 고려하는 신뢰성 분석기법을 제안하였다. 제안된 기법을 상수관망에 적용하여 기존의 연구결과와 비교하였고 이를 바탕으로 수립 가능한 신뢰성 확보방안을 제시하였다.

Keywords

References

  1. 백천우, 전환돈, 김중훈(2010). “HSPDA모형 및 ADF index를 이용한 상수관망의 신뢰도 산정.” 한국수자원학회논문집, 한국수자원학회, 제43권, 제2호, pp. 201-210.
  2. Ang, W.K., and Jowitt, P.W. (2006). “Solution for water distribution systems under pressure-deficient conditions.” Journal of Water Resources Planning and Management, ASCE, Vol. 132, No. 3, pp. 175-182. https://doi.org/10.1061/(ASCE)0733-9496(2006)132:3(175)
  3. Baek, C.W., Jun, H.D., and Kim, J.H. (2010). “Development of a PDA model for water distribution systems using harmony search algorithm.” KSCE Journal of Civil Engineering, KSCE, Vol. 14, No. 4, pp. 613-625. https://doi.org/10.1007/s12205-010-0613-7
  4. Bhave, P.R. (1981). “Node flow analysis of water distribution systems.” Transportation Engineering Journal of ASCE (Proc. Of The ASCE), ASCE, Vol. 107, No. TE4, pp. 457-467.
  5. Borda, J.C. (1781) “Memoire sur les elections au scrutinin.” Memoires de l'Academie Royale des Sciences; English translation by A. de Grazia, Isis44 (1953), pp. 42-51.
  6. Brans, J.P., and Vincke, Ph. (1985). “A preference ranking organisation method.” Management Science, INFORMS, Vol. 31, No. 6, pp. 647-656.
  7. Chandapillai, J. (1991). “Realistic simulation of water distribution system.” Journal of Transportation Engineering, ASCE, Vol. 117, No. 2, pp. 258-263. https://doi.org/10.1061/(ASCE)0733-947X(1991)117:2(258)
  8. Charnes, A., Copper, W.W., and Rhodes, E.L. (1978). “Measuring the efficiency of decision making units.” European Journal of Operational Research, EJOR, Vol. 2, No. 6, pp. 429-444. https://doi.org/10.1016/0377-2217(78)90138-8
  9. Cullinane, M.J. (1986). “Hydraulic reliability evaluation of water distribution systems.” Water forum 1986: World water issues in evolution, ASCE.
  10. Fujiwara, O., and Ganesharajah, T. (1993). “Reliability assessment of water supply systems with storage and distribution networks.” Water Resources Research, AGU, Vol. 29, No. 8, pp. 2917-2924. https://doi.org/10.1029/93WR00857
  11. Geem, Z.W., Kim, J.H., and Loganathan, G.V. (2001). “A new heuristic optimization technique: harmony search.” Simulation, SCS, Vol. 76, No. 2, pp. 60-68. https://doi.org/10.1177/003754970107600201
  12. Germanopoulos, G. (1985). “A technical note on the inclusion of pressure dependent demand and leakage terms in water supply network models.” Civil Engineering and Environmental Systems, Vol. 2, No. 3, pp. 171-179. https://doi.org/10.1080/02630258508970401
  13. Goulter, I.D., and Coals, A.V. (1986). “Quantitative approaches to reliability assessment in pipe networks.” Journal of Transportation Engineering, ASCE, Vol. 112, No. 3, pp. 287-301. https://doi.org/10.1061/(ASCE)0733-947X(1986)112:3(287)
  14. Goulter, I.D., Walski, T.M., Mays, L.W., Sakarya, B., Bouchart, F., and Tung, Y.K. (2000). “Reliability analysis for design.” in Mays, L.W., Water Distribution System Handbook, McGraw-Hill, New York, 2000.
  15. Gupta, R., and Bhave, P.R. (1996). “Comparison of methods for predicting deficient-network performance.” Journal of Water Resources Planning and Management, ASCE, Vol. 122, No. 3, pp. 214-217. https://doi.org/10.1061/(ASCE)0733-9496(1996)122:3(214)
  16. Jun, H., and Loganathan, G.V. (2007). “Valve-controlled segments in water distribution systems.” Journal of Water Resources Planning and Management, ASCE, Vol. 133, No. 2, pp. 145-155. https://doi.org/10.1061/(ASCE)0733-9496(2007)133:2(145)
  17. Kaufmann, A.D., Grouchko, D., and Croun, R. (1977). Mathematical models for the study of the reliability of systems. Academic Press, New York, NY.
  18. Kemeny, J.G., and Snell, L.J. (1962). Preference ranking: An axiomatic approach. Mathematical models in the Social Sciences, Ginn, New York, pp. 9-23.
  19. Mays, L.W. (1996). “Review of reliability analysis of water distribution systems.” Stochastic hydraulics '96, K.K. Tickle et al., eds., Balkema, Rotterdam, The Netherlands, pp. 53-62.
  20. Mays, L.W. (2003). Water supply systems security. McGRAW-HILL, New York, NY.
  21. Ostfeld, A. (2004). “Reliability analysis of water distribution systems.” Journal of Hydroinformatics, IWA, Vol. 6, No. 4, pp. 281-294.
  22. Ozger, S.S. (2003). A semi-pressure-driven approach to reliability assessment ofwater distribution network. Ph.D. dissertation, Department of Civil and Environmental Engineering, Arizona State University, Tempe, Arizona.
  23. Reddy, L.S., and Elango, K. (1989). “Analysis of water distribution networks with head dependent outlets.” Civil Engineering and Environmental Systems, Vol. 6, No. 3, pp. 102-110. https://doi.org/10.1080/02630258908970550
  24. Reddy, L.S., and Elango, K. (1991). “A new approach to the analysis of water starved networks.” Jouranl of Indian Water Works Association, IWWA, Vol. 23, No. 1, pp. 31-38.
  25. Roy, B. (1991). “The outranking approach and the foundations of ELECTRE methods.” Theory and Decision, Vol. 31, No. 1, pp. 49-73. https://doi.org/10.1007/BF00134132
  26. Saaty, T.L. (1980). The analytic hierarchy process. McGraw-Hill, New York, NY.
  27. Su, Y.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.
  28. Tabesh, M., Tanyimboh, T.T., and Burrows, R. (2001). “Extended period reliability analysis of water distribution systems based on head driven simulation method.” Proceedings of IWAWorld Water Congress 2001, IWA, Orlando, Florida, USA.
  29. Tabesh, M., Tanyimboh, T.T., and Burrows, R. (2004). “Pressure dependent stochastic reliability analysis of water distribution networks.” Water Science and Technology: Water Supply, IWA, Vol. 4, No. 3, pp.81-90.
  30. Tanyimboh, T.T., and Tabesh, M. (1997). “Discussion comparison of methods for predicting deficientnetwork performance.” Journal of Water Resources Planning and Management, ASCE, Vol. 123, No. 6, pp. 369-370. https://doi.org/10.1061/(ASCE)0733-9496(1997)123:6(369)
  31. Tanyimboh, T.T., Tabesh, M., and Burrows, R. (2000). “Appraisal of source head methods for calculation reliability of water distribution networks.” Journal of Water Resources Planning and Management, ASCE, Vol. 127, No. 4, pp. 206-213. https://doi.org/10.1061/(ASCE)0733-9496(2001)127:4(206)
  32. Wagner, J.M., Shamir, U., and Marks, D.H. (1988). “Water distribution reliability: Analytical methods.” Journal of Water Resources Planning and Management, ASCE, Vol. 114, No. 3, pp. 253-275. https://doi.org/10.1061/(ASCE)0733-9496(1988)114:3(253)
  33. Wu, Z.Y., and Walski, M. (2006). “Pressure-dependent hydraulic modelling for water distribution systems under abnormal conditions.” Proceedings of IWA World Water Congress and Exhibition, IWA, Beijing, China.
  34. Wu, Z.Y., Wang, R.H., Walski, T.M., Yang, S.Y., and Bowdler, D. (2006). “Efficient pressure dependent demand model for large water distribution system analysis.” Proceedings of 8th Annual International Symposium on Water Distribution System Analysis, ASCE, Cincinnati, Ohio, USA.
  35. Xanthopulos, Z., Melachrinoudis, E., and Solomon, M.M. (2000). “Interactive multiobjective group decision making with interval parameters.” Management Science, INFORMS, Vol. 46, No. 12, pp. 1721-1732.

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