Validation of nominations in gas network optimization: Models, methods, and solutions

Pfetsch ME, Fügenschuh A, Geißler B, Geißler N, Gollmer R, Hiller B, Humpola J, Koch T, Lehmann T, Martin A, Morsi A, Rövekamp J, Schewe L, Schmidt M, Schultz R, Schwarz R, Schweiger J, Stangl C, Steinbach MC, Vigerske S, Willert BM (2015)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Book Volume: 30

Pages Range: 15-53

Journal Issue: 1

DOI: 10.1080/10556788.2014.888426

Abstract

In this article, we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements such that there exists a network state meeting all physical, technical, and legal constraints. We describe a two-stage approach to solve the resulting complex and numerically difficult non-convex mixed-integer nonlinear feasibility problem. The first phase consists of four distinct algorithms applying mixed-integer linear, mixed-integer nonlinear, nonlinear, and methods for complementarity constraints to compute possible settings for the discrete decisions. The second phase employs a precise continuous nonlinear programming model of the gas network. Using this setup, we are able to compute high-quality solutions to real-world industrial instances that are significantly larger than networks that have appeared in the mathematical programming literature before.

Authors with CRIS profile

Involved external institutions

Gottfried Wilhelm Leibniz Universität Hannover Germany (DE) Technische Universität Darmstadt Germany (DE) Helmut-Schmidt-Universität - Universität der Bundeswehr Hamburg Germany (DE) Konrad-Zuse-Zentrum für Informationstechnik / Zuse Institute Berlin (ZIB) Germany (DE) Open Grid Europe GmbH Germany (DE) Universität Duisburg-Essen (UDE) Germany (DE)

How to cite

APA:

Pfetsch, M.E., Fügenschuh, A., Geißler, B., Geißler, N., Gollmer, R., Hiller, B.,... Willert, B.M. (2015). Validation of nominations in gas network optimization: Models, methods, and solutions. Optimization Methods & Software, 30(1), 15-53. https://dx.doi.org/10.1080/10556788.2014.888426

MLA:

Pfetsch, Marc E., et al. "Validation of nominations in gas network optimization: Models, methods, and solutions." Optimization Methods & Software 30.1 (2015): 15-53.

BibTeX: Download