Skip to main content

Water Supply Network Partitioning Based On Weighted Spectral Clustering

  • Conference paper
  • First Online:
Complex Networks & Their Applications V (COMPLEX NETWORKS 2016 2016)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 693))

Included in the following conference series:

Abstract

Water Network Partitioning (WNP) in District Meter Area (DMA), obtained inserting remote control valves and flow meters in water supply systems, allows simplifying the water balance and pressure control in order to reduce water leakage and to improve water quality protection. Traditionally, the WNP is based on empirical suggestions and on trial and error approaches used with hydraulic simulation software, difficult to apply to large networks. Recently, some heuristic procedures, based on graph and network theory, have shown that it is possible to find optimal solutions in terms of number, shape and dimension of DMAs. In this paper, spectral clustering theory was used to define the water districts, taking into account the spatial and hydraulic constraints, through weight matrices. A comparison between different spectral clustering methods was achieved on a real water network measuring some energy performance indices, in order to identify the optimal water network partitioning.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alonso, J.M., Alvarruiz, F., Guerrero, D., Hernández, V., Ruiz, P.A., Vidal, A.M., Martínez, F., Vercher, J., Ulanicki, B.: Parallel computing in water network analysis and leakage minimization. Journal of Water Resources Planning and Management 126(4), 251–260 (2000)

    Google Scholar 

  2. Barthélemy, M., Flammini, A.: Modeling urban street patterns. Physical review letters 100(13), 138,702 (2008)

    Google Scholar 

  3. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.U.: Complex networks: Structure and dynamics. Physics reports 424(4), 175–308 (2006)

    Google Scholar 

  4. Carvalho, R., Buzna, L., Bono, F., Gutiérrez, E., Just, W., Arrowsmith, D.: Robustness of trans-european gas networks. Physical review E 80(1), 016,106 (2009)

    Google Scholar 

  5. Di Nardo, A., Di Natale, M.: A heuristic design support methodology based on graph theory for district metering of water supply networks. Engineering Optimization 43(2), 193–211 (2011)

    Google Scholar 

  6. Di Nardo, A., Di Natale, M.: A heuristic design support methodology based on graph theory for district metering of water supply networks. Engineering Optimization 43(2), 193–211 (2011)

    Google Scholar 

  7. Di Nardo, A., Di Natale, M., Giudicianni, C., Musmarra, D., Santonastaso, G.F., Simone, A.: Water distribution system clustering and partitioning based on social network algorithms. Procedia Engineering 119, 196–205 (2015)

    Google Scholar 

  8. Di Nardo, A., Di Natale, M., Greco, R., Santonastaso, G.: Ant algorithm for smart water network partitioning. Procedia Engineering 70, 525–534 (2014)

    Google Scholar 

  9. Di Nardo, A., Di Natale, M., Musmarra, D., Santonastaso, G.F., Tzatchkov, V., Alcocer-Yamanaka, V.H.: Dual-use value of network partitioning for water system management and protection from malicious contamination. Journal of Hydroinformatics 17(3), 361–376 (2015)

    Google Scholar 

  10. Di Nardo, A., Di Natale, M., Santonastaso, G., Tzatchkov, V., Alcocer-Yamanaka, V.: Water network sectorization based on a genetic algorithm and minimum dissipated power paths. Water Science and Technology: Water Supply 13(4), 951–957 (2013)

    Google Scholar 

  11. Di Nardo, A., Di Natale, M., Santonastaso, G.F., Venticinque, S.: An automated tool for smart water network partitioning. Water resources management 27(13), 4493–4508 (2013)

    Google Scholar 

  12. Diao, K., Zhou, Y., Rauch, W.: Automated creation of district metered area boundaries in water distribution systems. Journal of Water Resources Planning and Management 139(2), 184–190 (2012)

    Google Scholar 

  13. Estrada, E.: Network robustness to targeted attacks. the interplay of expansibility and degree distribution. The European Physical Journal B-Condensed Matter and Complex Systems 52(4), 563–574 (2006)

    Google Scholar 

  14. Ferrari, G., Savic, D., Becciu, G.: Graph-theoretic approach and sound engineering principles for design of district metered areas. Journal of Water Resources Planning and Management 140(12), 04014,036 (2013)

    Google Scholar 

  15. Fiedler, M.: Algebraic connectivity of graphs. Czechoslovak mathematical journal 23(2), 298–305 (1973)

    Google Scholar 

  16. Gomes, R., Sá Marques, A., Sousa, J.: Identification of the optimal entry points at district metered areas and implementation of pressure management. Urban Water Journal 9(6), 365–384 (2012)

    Google Scholar 

  17. Greco, R., Di Nardo, A., Santonastaso, G.: Resilience and entropy as indices of robustness of water distribution networks. Journal of Hydroinformatics 14(3), 761–771 (2012)

    Google Scholar 

  18. Herrera, M., Canu, S., Karatzoglou, A., Pérez-García, R., Izquierdo, J.: An approach to water supply clusters by semi-supervised learning. Proceedings of International Environmental Modelling and Software Society (IEMSS) (2010)

    Google Scholar 

  19. Izquierdo, J., Herrera, M., Montalvo, I., Pérez-García, R.: Division of Water Supply Systems into District Metered Areas Using a Multi-agent Based Approach, pp. 167–180. Springer Berlin Heidelberg, Berlin, Heidelberg (2011)

    Google Scholar 

  20. Limited, U.W.I.R.: A Manual of DMA Practice. UK Water Industry Research Limited (1999)

    Google Scholar 

  21. Mays, L.W.: Water distribution system handbook. McGraw-Hill Professional Publishing New York, NY, USA (1999)

    Google Scholar 

  22. Nardo, A.D., Natale, M.D., Santonastaso, G., Tzatchkov, V., Yamanaka, V.A.: Divide and conquer partitioning techniques for smart water networks. Procedia Engineering 89, 1176 – 1183 (2014). DOI http://dx.doi.org/10.1016/j.proeng.2014.11.247. URL http://www.sciencedirect.com/science/article/pii/S1877705814023625

  23. Newman, M.E.: The structure and function of complex networks. SIAM review 45(2), 167–256 (2003)

    Google Scholar 

  24. Perelman, L.S., Allen, M., Preis, A., Iqbal, M., Whittle, A.J.: Automated sub-zoning of water distribution systems. Environmental Modelling & Software 65, 1–14 (2015)

    Google Scholar 

  25. Rossman, L., for Environmental Research Information (Estats Units d’Amèrica), C., d’Amèrica. Environmental Protection Agency. Office of Research, E.U., Development,d’Amèrica), N.R.M.R.L.E.U.: Epanet 2: users manual. U.S. Environmental Protection Agency. Office of Research and Development. National Risk Management Research Laboratory (2000). URL https://books.google.it/books?id=CgijMwEACAAJ

  26. Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Transactions on pattern analysis and machine intelligence 22(8), 888–905 (2000)

    Google Scholar 

  27. Todini, E.: Looped water distribution networks design using a resilience index based heuristic approach. Urban water 2(2), 115–122 (2000)

    Google Scholar 

  28. Tzatchkov, V.G., Alcocer-Yamanaka, V.H., Ortíz, V.B.: Graph theory based algorithms for water distribution network sectorization projects. In: Proc. of the 8th Annual Water Distribution Systems Analysis Symposium WDSA, Cincinnati, Ohio, USA (2006)

    Google Scholar 

  29. Yazdani, A., Jeffrey, P.: Robustness and vulnerability analysis of water distribution networks using graph theoretic and complex network principles. Proceeding of Water Distribution System Analysis 2010 pp. 12–15 (2010)

    Google Scholar 

  30. Yazdani, A., Jeffrey, P.: Complex network analysis of water distribution systems. Chaos 21(1) (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Armando Di Nardo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Di Nardo, A., Di Natale, M., Giudicianni, C., Greco, R., Santonastaso, G.F. (2017). Water Supply Network Partitioning Based On Weighted Spectral Clustering. In: Cherifi, H., Gaito, S., Quattrociocchi, W., Sala, A. (eds) Complex Networks & Their Applications V. COMPLEX NETWORKS 2016 2016. Studies in Computational Intelligence, vol 693. Springer, Cham. https://doi.org/10.1007/978-3-319-50901-3_63

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-50901-3_63

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50900-6

  • Online ISBN: 978-3-319-50901-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics