This paper presents a procedure for generating synthetic district-level series of hourly water demand coefficients cross-correlated in space (between districts) and time. The procedure consists of two steps: (1) generation of hourly water demand coefficients which respect, for each hour of the day, pre-assigned means and variances; and (2) introduction of the cross-correlation at different time lags through the application of a method which implies the reordering of the data generated at step 1. The procedure was applied to a case study of the Ferrara water distribution system with the aim of generating cross-correlated synthetic series of hourly water demand coefficients for the 19 water districts making it up. It was observed that the application of the method for introducing the cross-correlation (step 2) causes numerical problems when a large number of water districts are involved and the cross-correlations are considered at many time lags; this problem is solved by carrying out an appropriate regularization of the observed cross-correlation matrix. The results obtained show that overall the proposed procedure constitutes a valid tool for generating synthetic water demand time series with pre-assigned characteristics in terms of means, variances and cross-correlation at different time lags.
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Research Article|
August 01 2013
Generation of synthetic cross-correlated water demand time series Available to Purchase
N. Ansaloni;
1Department of Engineering, University of Ferrara, Via Saragat, 1, 44122 Ferrara, Italy
E-mail: [email protected]
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S. Alvisi;
S. Alvisi
1Department of Engineering, University of Ferrara, Via Saragat, 1, 44122 Ferrara, Italy
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M. Franchini
M. Franchini
1Department of Engineering, University of Ferrara, Via Saragat, 1, 44122 Ferrara, Italy
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Water Supply (2013) 13 (4): 977–986.
Article history
Received:
September 03 2012
Accepted:
October 26 2012
Citation
N. Ansaloni, S. Alvisi, M. Franchini; Generation of synthetic cross-correlated water demand time series. Water Supply 1 August 2013; 13 (4): 977–986. doi: https://doi.org/10.2166/ws.2013.048
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