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Water 2018, 10(1), 45; doi:10.3390/w10010045

Applications of Graph Spectral Techniques to Water Distribution Network Management

Dipartimento di Ingegneria Civile, Design, Edilizia, e Ambiente, Università degli Studi della Campania ‘L. Vanvitelli’, via Roma 29, 81031 Aversa, Italy
Action Group CTRL + SWAN of the European Innovation Partnership on Water EU, via Roma 29, 81031 Aversa, Italy
Institute for Complex Systems (Consiglio Nazionale delle Ricerche), via dei Taurini 19, 00185 Roma, Italy
Centre for Energy and the Design of Environments (EDEn)—Department of Architecture & Civil Engineering, University of Bath, Claverton Down, Bath BA2 7AZ, UK
Author to whom correspondence should be addressed.
Received: 18 December 2017 / Revised: 2 January 2018 / Accepted: 5 January 2018 / Published: 9 January 2018
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Cities depend on multiple heterogeneous, interconnected infrastructures to provide safe water to consumers. Given this complexity, efficient numerical techniques are needed to support optimal control and management of a water distribution network (WDN). This paper introduces a holistic analysis framework to support water utilities on the decision making process for an efficient supply management. The proposal is based on graph spectral techniques that take advantage of eigenvalues and eigenvectors properties of matrices that are associated with graphs. Instances of these matrices are the adjacency matrix and the Laplacian, among others. The interest for this application is to work on a graph that specifically represents a WDN. This is a complex network that is made by nodes corresponding to water sources and consumption points and links corresponding to pipes and valves. The aim is to face new challenges on urban water supply, ranging from computing approximations for network performance assessment to setting device positioning for efficient and automatic WDN division into district metered areas. It is consequently created a novel tool-set of graph spectral techniques adapted to improve main water management tasks and to simplify the identification of water losses through the definition of an optimal network partitioning. Two WDNs are used to analyze the proposed methodology. Firstly, the well-known network of C-Town is investigated for benchmarking of the proposed graph spectral framework. This allows for comparing the obtained results with others coming from previously proposed approaches in literature. The second case-study corresponds to an operational network. It shows the usefulness and optimality of the proposal to effectively manage a WDN. View Full-Text
Keywords: water distribution system management; spectral analysis; complex networks water distribution system management; spectral analysis; complex networks

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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di Nardo, A.; Giudicianni, C.; Greco, R.; Herrera, M.; Santonastaso, G.F. Applications of Graph Spectral Techniques to Water Distribution Network Management. Water 2018, 10, 45.

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