Maximizing the storage capacity of gas networks: a global MINLP approach

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Burlacu R, Egger H, Gross M, Martin A, Pfetsch ME, Schewe L, Sirvent M, Skutella M
Zeitschrift: Optimization and Engineering
Jahr der Veröffentlichung: 2019
Band: 20
Heftnummer: 2
Seitenbereich: 543-573
ISSN: 1389-4420


Abstract

In this paper, we study the transient optimization of gas networks, focusing in particular on maximizing the storage capacity of the network. We include nonlinear gas physics and active elements such as valves and compressors, which due to their switching lead to discrete decisions. The former is described by a model derived from the Euler equations that is given by a coupled system of nonlinear parabolic partial differential equations (PDEs). We tackle the resulting mathematical optimization problem by a first-discretize-then-optimize approach. To this end, we introduce a new discretization of the underlying system of parabolic PDEs and prove well-posedness for the resulting nonlinear discretized system. Endowed with this discretization, we model the problem of maximizing the storage capacity as a non-convex mixed-integer nonlinear problem (MINLP). For the numerical solution of the MINLP , we algorithmically extend a well-known relaxation approach that has already been used very successfully in the field of stationary gas network optimization. This method allows us to solve the problem to global optimality by iteratively solving a series of mixed-integer problems. Finally, we present two case studies that illustrate the applicability of our approach.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Burlacu, Robert
Lehrstuhl für Angewandte Mathematik (Gemischt-ganzzahlige lineare und nichtlineare Optimierung)
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)
Sirvent, Mathias
Lehrstuhl für Angewandte Mathematik (Gemischt-ganzzahlige lineare und nichtlineare Optimierung)


Einrichtungen weiterer Autorinnen und Autoren

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen
Technische Universität Berlin
Technische Universität Darmstadt


Zitierweisen

APA:
Burlacu, R., Egger, H., Gross, M., Martin, A., Pfetsch, M.E., Schewe, L.,... Skutella, M. (2019). Maximizing the storage capacity of gas networks: a global MINLP approach. Optimization and Engineering, 20(2), 543-573. https://dx.doi.org/10.1007/s11081-018-9414-5

MLA:
Burlacu, Robert, et al. "Maximizing the storage capacity of gas networks: a global MINLP approach." Optimization and Engineering 20.2 (2019): 543-573.

BibTeX: 

Zuletzt aktualisiert 2019-23-05 um 07:23