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Modeling of Gas Compressors and Hierarchical Reduction for Globally Convergent Stationary Network Solvers

  • Further development on globally convergent algorithms for solution of stationary network problems is presented. The algorithms make use of global non-degeneracy of Jacobi matrix of the system, composed of Kirchhoff's flow conservation conditions and transport element equations. This property is achieved under certain monotonicity conditions on element equations and guarantees an existence of a unique solution of the problem as well as convergence to this solution from an arbitrary starting point. In application to gas transport networks, these algorithms are supported by a proper modeling of gas compressors, based on individually calibrated physical characteristics. This paper extends the modeling of compressors by hierarchical methods of topological reduction, combining the working diagrams for parallel and sequential connections of compressors. Estimations are also made for application of topological reduction methods beyond the compressor stations in generic network problems. Efficiency of the methods is tested by numerical experiments on realistic networks.

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Metadaten
Document Type:Article
Language:English
Author:Tanja Clees, Igor Nikitin, Lialia Nikitina, Lukasz Segiet
Parent Title (English):International Journal on Advances in Systems and Measurements
Volume:11
Issue:1-2
First Page:61
Last Page:71
ISSN:1942-261X
URL:https://www.thinkmind.org/index.php?view=article&articleid=sysmea_v11_n12_2018_6
Publisher:ThinkMind
Date of first publication:2018/06/30
Tag:applications; gas transport networks; globally convergent solvers; modeling of complex systems; topological reduction
Dewey Decimal Classification (DDC):6 Technik, Medizin, angewandte Wissenschaften / 62 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
Fields of research:Institut für Technik, Ressourcenschonung und Energieeffizienz (TREE) / Arbeitsgruppe Netzwerke
Entry in this database:2020/05/09