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Towards the Solution of Robust Gas Network Optimization Problems Using the Constrained Active Signature Method

Submission Status:publish
  • This work studies robust gas network optimization under uncertainties in demand and in the physical parameters. The corresponding optimization problems are nonconvex in node pressures and flows along the pipes. They are thus very difficult to solve for realistic instance sizes. In recent approaches, an adaptive bundle method has been developed, where one solves the occurring adversarial problems via iteratively refined piecewise linear relaxations. These subproblems need to be solved always from scratch using mixed-integer linear programming (MIP). As alternative to the MIP solver, we employ here a nonsmooth optimization approach that allows a warm start strategy such that it can profit from the results obtained for coarser relaxations. We evaluate the approach for realistic gas network topologies and outline possibilities for future research.

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Author:Timo Kreimeier, Martina Kuchlbauer, Frauke Liers, Michael Stingl, Andrea Walther
Document Type:Article
Language:English
Date of Publication (online):2021/10/15
Year of first Publication:2021
Release Date:2021/10/17
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Humboldt-Universität zu Berlin
Subprojects:B06
B10
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International