Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications

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(Buchkapitel)


Details zur Publikation

Autorinnen und Autoren: Hante F, Leugering G, Martin A, Schewe L, Schmidt M
Herausgeber: Manchanda, Pammy; Lozi, René; Siddiqi, Abul Hasan
Titel Sammelwerk: Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms
Verlag: Springer Singapore
Verlagsort: Singapore
Jahr der Veröffentlichung: 2017
Titel der Reihe: Industrial and Applied Mathematics
Seitenbereich: 77-122
ISBN: 978-981-10-3758-0
ISSN: 2364-6837
Sprache: Englisch


Abstract


We consider optimal control problems for the flow of gas or fresh water in pipe networks as well as drainage or sewer systems in open canals. The equations of motion are taken to be represented by the nonlinear isothermal Euler gas equations, the water hammer equations, or the St. Venant equations for flow. We formulate model hierarchies and derive an abstract model for such network flow problems including pipes, junctions, and controllable elements such as valves, weirs, pumps, as well as compressors. We use the abstract model to give an overview of the known results and challenges concerning equilibria, well-posedness, controllability, and optimal control. A major challenge concerning the optimization is to deal with switching on-off states that are inherent to controllable devices in such applications combined with continuous simulation and optimization of the gas flow. We formulate the corresponding mixed-integer nonlinear optimal control problems and outline a decomposition approach as a solution technique.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Hante, Falk PD Dr.
Lehrstuhl für Angewandte Mathematik
Leugering, Günter Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Martin, Alexander Prof. Dr.
Lehrstuhl für Angewandte Mathematik (Gemischt-ganzzahlige lineare und nichtlineare Optimierung)
Schewe, Lars PD Dr.
Lehrstuhl für Angewandte Mathematik (Gemischt-ganzzahlige lineare und nichtlineare Optimierung)
Schmidt, Martin Prof. Dr.
Juniorprofessur für Optimierung von Energiesystemen


Zitierweisen

APA:
Hante, F., Leugering, G., Martin, A., Schewe, L., & Schmidt, M. (2017). Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications. In Manchanda, Pammy; Lozi, René; Siddiqi, Abul Hasan (Eds.), Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms. (pp. 77-122). Singapore: Springer Singapore.

MLA:
Hante, Falk, et al. "Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications." Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms. Ed. Manchanda, Pammy; Lozi, René; Siddiqi, Abul Hasan, Singapore: Springer Singapore, 2017. 77-122.

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Zuletzt aktualisiert 2019-20-07 um 07:16