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.
Verfasserangaben: | 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 |
Titel des übergeordneten Werks (Englisch): | Journal of hydraulic engineering |
Verlag: | American Society of Civil Engineers |
Verlagsort: | Reston |
Publikationstyp: | Wissenschaftlicher Artikel |
Sprache: | Englisch |
Datum der Erstveröffentlichung: | 22.11.2017 |
Erscheinungsjahr: | 2017 |
Datum der Freischaltung: | 09.02.2022 |
Freies Schlagwort / Tag: | Hydraulic models; Hydraulic networks; Maximum entropy method; Nonlinear analysis; Pipe networks; Probability; Water distribution systems |
Band: | 144 |
Ausgabe: | 2 |
Seitenanzahl: | 10 |
Fördernde 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 |
Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 52 Astronomie / 520 Astronomie und zugeordnete Wissenschaften |
5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik | |
Peer Review: | Referiert |