Reduced-Parameter Method for Maximum Entropy Analysis of Hydraulic Pipe Flow Networks
- A maximum entropy (MaxEnt) method is developed to predict flow rates or pressure gradients in hydraulic pipe networks without sufficient information to give a closed-form (deterministic) solution. This methodology substantially extends existing deterministic flow network analysis methods. It builds on the MaxEnt framework previously developed by the authors. This study uses a continuous relative entropy defined on a reduced parameter set, here based on the external flow rates. This formulation ensures consistency between different representations of the same network. The relative entropy is maximized subject to observable constraints on the mean values of a subset of flow rates or potential differences, the frictional properties of each pipe, and physical constraints arising from Kirchhoff’s first and second laws. The new method is demonstrated by application to a simple one-loop network and a 1,123-node, 1,140-pipe water distribution network in the suburb of Torrens, Australian Capital Territory, Australia.
Author details: | S. H. Waldrip, Robert K. NivenORCiD, Markus AbelORCiDGND, M. Schlegel |
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DOI: | https://doi.org/10.1061/(ASCE)HY.1943-7900.0001379 |
ISSN: | 0733-9429 |
ISSN: | 1943-7900 |
Title of parent work (English): | Journal of hydraulic engineering |
Publisher: | American Society of Civil Engineers |
Place of publishing: | Reston |
Publication type: | Article |
Language: | English |
Date of first publication: | 2017/11/22 |
Publication year: | 2017 |
Release date: | 2022/02/09 |
Tag: | Hydraulic models; Hydraulic networks; Maximum entropy method; Nonlinear analysis; Pipe networks; Probability; Water distribution systems |
Volume: | 144 |
Issue: | 2 |
Number of pages: | 10 |
Funding institution: | Australian Research CouncilAustralian Research Council [DP140104402]; Go8/DAAD Australia-Germany Joint Research Cooperation Scheme [RG123832]; French Agence Nationale de la Recherche Chair of Excellence (TUCOROM)French National Research Agency (ANR); Institute Pprime, Poitiers, France |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 52 Astronomie / 520 Astronomie und zugeordnete Wissenschaften |
5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik | |
Peer review: | Referiert |