Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/118080
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Type: Journal article
Title: Graph partitioning in the analysis of pressure dependent water distribution systems
Author: Elhay, S.
Deuerlein, J.
Piller, O.
Simpson, A.
Citation: Journal of Water Resources Planning and Management, 2018; 144(4):1-13
Publisher: American Society of Civil Engineers
Issue Date: 2018
ISSN: 0733-9496
1943-5452
Statement of
Responsibility: 
Sylvan Elhay, Jochen Deuerlein, Olivier Piller and Angus R. Simpson
Abstract: The forest core partitioning algorithm (FCPA) and the fast graph matrix partitioning algorithm (GMPA) have been used to improve efficiency in the determination of the steady-state heads and flows of water distribution systems that have large, complex network graphs. In this paper, a single framework for the FCPA and the GMPA is used to extend their application from demand dependent models to pressure dependent models (PDMs). The PDM topological minor (TM) is characterized, important properties of its key matrices are identified, and efficient evaluation schemes for the key matrices are presented. The TM captures the network’s most important characteristics: It has exactly the same number of loops as the full network, and the flows and heads of those elements not in the TM depend linearly on those of the TM. The inverse of the TM’s Schur complement is shown to be the top, left block of the inverse of the full system Jacobian’s Schur complement, thereby providing information about the system’s essential behavior more economically than is otherwise possible. The new results are applicable to other nonlinear network problems, such as in gas, district heating, and electrical distribution.
Keywords: Graph partitioning; water distribution system; pressure dependent analysis; network security; water management; topological minor
Rights: © 2018 American Society of Civil Engineers
RMID: 0030082406
DOI: 10.1061/(ASCE)WR.1943-5452.0000896
Appears in Collections:Civil and Environmental Engineering publications

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