Next Article in Journal
Understanding the Functionality and Burden on Decentralised Rural Water Supply: Influence of Millennium Development Goal 7c Coverage Targets
Previous Article in Journal
How to Enhance the Role of Science in European Union Policy Making and Implementation: The Case of Agricultural Impacts on Drinking Water Quality
Open AccessArticle

Generating Scenarios of Cross-Correlated Demands for Modelling Water Distribution Networks

Department of Civil, Building, and Environmental Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, Italy
*
Author to whom correspondence should be addressed.
Water 2019, 11(3), 493; https://doi.org/10.3390/w11030493
Received: 30 December 2018 / Revised: 1 March 2019 / Accepted: 4 March 2019 / Published: 8 March 2019
(This article belongs to the Section Urban Water Management)
A numerical approach for generating a limited number of water demand scenarios and estimating their occurrence probabilities in a water distribution network (WDN) is proposed. This approach makes use of the demand scaling laws in order to consider the natural variability and spatial correlation of nodal consumption. The scaling laws are employed to determine the statistics of nodal consumption as a function of the number of users and the main statistical features of the unitary user’s demand. Besides, consumption at each node is considered to follow a Gamma probability distribution. A high number of groups of cross-correlated demands, i.e., scenarios, for the entire network were generated using Latin hypercube sampling (LHS) and the numerical procedure proposed by Iman and Conover. The Kantorovich distance is used to reduce the number of scenarios and estimate their corresponding probabilities, while keeping the statistical information on nodal consumptions. By hydraulic simulation, the whole number of generated demand scenarios was used to obtain a corresponding number of pressure scenarios on which the same reduction procedure was applied. The probabilities of the reduced scenarios of pressure were compared with the corresponding probabilities of demand. View Full-Text
Keywords: uncertain water demand; scaling laws; scenario generation; scenario reduction; water distribution networks; hydraulic simulation uncertain water demand; scaling laws; scenario generation; scenario reduction; water distribution networks; hydraulic simulation
Show Figures

Graphical abstract

MDPI and ACS Style

Magini, R.; Boniforti, M.A.; Guercio, R. Generating Scenarios of Cross-Correlated Demands for Modelling Water Distribution Networks. Water 2019, 11, 493. https://doi.org/10.3390/w11030493

AMA Style

Magini R, Boniforti MA, Guercio R. Generating Scenarios of Cross-Correlated Demands for Modelling Water Distribution Networks. Water. 2019; 11(3):493. https://doi.org/10.3390/w11030493

Chicago/Turabian Style

Magini, Roberto; Boniforti, Maria A.; Guercio, Roberto. 2019. "Generating Scenarios of Cross-Correlated Demands for Modelling Water Distribution Networks" Water 11, no. 3: 493. https://doi.org/10.3390/w11030493

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop