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

  • 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 (MIPs). Finally, we present two case studies that illustrate the applicability of our approach.

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Author:Robert Burlacu, Herbert Egger, Martin Groß, Alexander Martin, Marc Pfetsch, Lars Schewe, Mathias Sirvent, Martin Skutella
Document Type:Article
Date of Publication (online):2017/11/21
Year of first Publication:2017
Release Date:2017/11/21
Tag:First-Discretize-Then-Optimize; Mixed-Integer Nonlinear Programming; Power-to-Gas; Storage Capacity Maximization; Transient Gas Transport Optimization
Edition:Optimization and Engineering
First Page:543
Last Page:573
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Technische Universität Darmstadt
Technische Universität Berlin
University of Waterloo