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

Kreimeier T, Kuchlbauer M, Liers F, Stingl M, Walther A (2022)

Publication Status: Submitted

Publication Type: Conference contribution, Original article

Future Publication Type: Journal article

Publication year: 2022

Pages Range: 45 - 50

Conference Proceedings Title: Proceedings of the 10th International Network Optimization Con- ference

Event location: Aachen, Germany

ISBN: 978-3-89318-090-5

DOI: 10.48786/inoc.2022.09

Abstract

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. 

Authors with CRIS profile

Martina Kuchlbauer Sonderforschungsbereich/Transregio 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken Frauke Liers-Bergmann Professur für Optimization under Uncertainty & Data Analysis

Related research project(s)

Robustification of Physics Parameters in Gas Networks (B06) (2018 - 2022) TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks (TRR 154) July 1, 2018 - June 30, 2022

Involved external institutions

Humboldt-Universität zu Berlin DE Germany (DE)

How to cite

APA:

Kreimeier, T., Kuchlbauer, M., Liers, F., Stingl, M., & Walther, A. (2022). Towards the Solution of Robust Gas Network Optimization Problems Using the Constrained Active Signature Method. In Proceedings of the 10th International Network Optimization Con- ference (pp. 45 - 50). Aachen, Germany.

MLA:

Kreimeier, Timo, et al. "Towards the Solution of Robust Gas Network Optimization Problems Using the Constrained Active Signature Method." Proceedings of the INOC 2022, Aachen, Germany 2022. 45 - 50.

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