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Modeling of gas compressors and hierarchical reduction for globally convergent stationary network solvers

 
: Clees, Tanja; Nikitin, Igor; Nikitina, Lialia; Segiet, Lukasz

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International journal on advances in systems and measurements 11 (2018), No.1-2, pp.61-71
ISSN: 1942-261X
Bundesministerium für Wirtschaft und Energie BMWi
0324019A; MathEnergy
Mathematical Key Technologies for Evolving Energy Grids
English
Journal Article, Electronic Publication
Fraunhofer SCAI ()
modeling of complex system; topological reduction; globally convergent solver; application; gas transport network

Abstract
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.

: http://publica.fraunhofer.de/documents/N-524013.html