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Model order reduction of differential algebraic equations arising from the simulation of gas transport networks

: Grundel, Sara


Schöps, S.:
Progress in Differential-Algebraic Equations: Deskriptor 2013 : 8th Workshop on Coupled Descriptor Systems took place on March 4 - 7, 2013 in the Castle of Eringerfeld, Gesecke
Berlin: Springer, 2014 (Differential-Algebraic Equations Forum)
ISBN: 978-3-662-44926-4 (online)
ISBN: 978-3-662-44925-7 (print)
ISBN: 3-662-44925-0
Workshop on Coupled Descriptor Systems <8, 2013, Paderborn>
Fraunhofer SCAI ()
proper orthogonal decomposition; nonlinear systems; gas network simulation; model order reduction; differential algebraic equations

We explore the Tractability Index of Differential Algebraic Equations (DAEs) that emerge in the simulation of gas transport networks. Depending on the complexity of the network, systems of index 1 or index 2 can arise. It is then shown that these systems can be rewritten as Ordinary Differential Equations (ODEs). We furthermore apply Model Order Reduction (MOR) techniques such as Proper Orthogonal Decomposition (POD) to a network of moderate size and complexity and show that one can reduce the system size significantly.