Topological Reduction of Stationary Network Problems: Example of Gas Transport
- The general method of topological reduction for the network problems is presented on example of gas transport networks. The method is based on a contraction of series, parallel and tree-like subgraphs for the element equations of quadratic, power law and general monotone dependencies. The method allows to reduce significantly the complexity of the graph and to accelerate the solution procedure for stationary network problems. The method has been tested on a large set of realistic network scenarios. Possible extensions of the method have been described, including triangulated element equations, continuation of the equations at infinity, providing uniqueness of solution, a choice of Newtonian stabilizer for nearly degenerated systems. The method is applicable for various sectors in the field of energetics, including gas networks, water networks, electric networks, as well as for coupling of different sectors.
| Document Type: | Article |
|---|---|
| Language: | English |
| Author: | Anton Baldin, Tanja Clees, Bernhard Klaassen, Igor Nikitin, Lialia Nikitina |
| Parent Title (English): | International Journal on Advances in Systems and Measurements |
| Volume: | 13 |
| Issue: | 1&2 |
| Number of pages: | 11 |
| First Page: | 83 |
| Last Page: | 93 |
| ISSN: | 1942-261X |
| URL: | https://www.thinkmind.org/index.php?view=article&articleid=sysmea_v13_n12_2020_8 |
| Publisher: | IARIA |
| Date of first publication: | 2020/06/30 |
| Copyright: | 2020, © Copyright by authors, Published under agreement with IARIA. Abstracting is permitted with credit to the source. |
| Funding: | The work has been supported by the German Federal Ministry for Economic Affairs and Energy, project BMWI-0324019A, MathEnergy: Mathematical Key Technologies for Evolving Energy Grids and by the German Bundesland North Rhine-Westphalia using fundings from the European Regional Development Fund, grant Nr. EFRE-0800063, project ES-FLEX-INFRA. |
| Keyword: | Topological reduction; applications; gas transport networks; globally convergent solvers; modeling of complex systems |
| Departments, institutes and facilities: | Fachbereich Ingenieurwissenschaften und Kommunikation |
| Institut für Technik, Ressourcenschonung und Energieeffizienz (TREE) | |
| Dewey Decimal Classification (DDC): | 6 Technik, Medizin, angewandte Wissenschaften / 62 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten |
| Entry in this database: | 2023/01/03 |
