ID:
publications-3796
Type:
article
Year:
2015
Authors:
Du, Kui and Kun, Du and Long, Tianyu and Tianyu, Long and Wang, Junhui and Jun-Hui, Wang and Guo, Jiahao and Jin-Song, Guo
Title:
Inversion Model of Water Distribution Systems for Nodal Demand Calibration
Venue/Journal:
Journal of Water Resources Planning and Management
DOI:
10.1061/(asce)wr.1943-5452.0000506
Research type:
Water System:
Technical Focus:
Abstract:
AbstractNodal demand calibration of a water distribution system (WDS) is a process of adjusting the nodal demand in WDS models to make its predictions consisting with measurements, which is an inversion problem compared to the conventional forward computation. Most existing methods rely on performing forward computation repeatedly to calculate the sensitivity matrix or generate offspring for searching for optimal solutions. This paper develops an alternative framework, namely an inversion model, to directly calibrate the nodal demand. The model is constructed by separating the known and unknown variables in continuity and energy equations of WDS using the matrix decomposition method. Specifically, the measured and unmeasured nodal demand, nodal head, and pipe flow are taken as knows and unknowns, respectively. The nodal demands with similar user characteristics are grouped (i.e.,aggregated) to make the model overdetermined, and the Gauss-Newton based iteration method is applied to solve the model. To eva...
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