A Direct Index 1 DAE Model of Gas Networks

Peter Benner (), Maike Braukmüller () and Sara Grundel ()
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Peter Benner: Max Planck Institute for Dynamics of Complex Technical Systems
Maike Braukmüller: Institute Computational Mathematics TU Braunschweig
Sara Grundel: Max Planck Institute for Dynamics of Complex Technical Systems

A chapter in Reduced-Order Modeling (ROM) for Simulation and Optimization, 2018, pp 99-119 from Springer

Abstract: Abstract Using isothermal Euler equations and a network graph to model gas flow in a pipeline network is a classical description, and we prove that any direct space discretization results in a system of index 2 nonlinear differential algebraic equations (DAE). Those are hard to simulate, and model order reduction techniques are not very developed for this system class. However, we can show that a simple approximation results in an index 1 system of nonlinear differential algebraic equations, which is easier to simulate and we can show that a structured projection leads to a reduced system that also typically has index 1. We validate the use of this model and its advantage for fast simulation, including model order reduction, in some numerical examples.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-75319-5_5

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DOI: 10.1007/978-3-319-75319-5_5

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