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

Article in Edited Volumes
(Book chapter)


Publication Details

Author(s): Hante F, Leugering G, Martin A, Schewe L, Schmidt M
Editor(s): Manchanda, Pammy; Lozi, René; Siddiqi, Abul Hasan
Title edited volumes: Industrial Mathematics and Complex Systems: Emerging Mathematical Models, Methods and Algorithms
Publisher: Springer Singapore
Publishing place: Singapore
Publication year: 2017
Title of series: Industrial and Applied Mathematics
Pages range: 77-122
ISBN: 978-981-10-3758-0
ISSN: 2364-6837
Language: English


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 Authors / FAU Editors

Hante, Falk PD Dr.
Lehrstuhl für Angewandte Mathematik
Leugering, Günter Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Martin, Alexander Prof. Dr.
Economics - Discrete Optimization - Mathematics (EDOM)
Schewe, Lars PD Dr.
Economics - Discrete Optimization - Mathematics (EDOM)
Schmidt, Martin Prof. Dr.
Juniorprofessur für Optimierung von Energiesystemen


How to cite

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.

BibTeX: 

Last updated on 2018-11-08 at 01:29