Stability-Preserving Interpolation Strategy for Parametric MOR of Gas Pipeline-Networks

Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)

Abstract

Optimization and control of large transient gas networks require the fast simulation of the underlying parametric partial differential algebraic systems. Surrogate modeling techniques based on linearization around specific stationary states, spatial semi-discretization and model order reduction allow for the set-up of parametric reduced order models that can act as basis sample to cover a wide parameter range by means of matrix interpolations. However, the interpolated models are often not stable. In this paper, we develop a stability-preserving interpolation method.

Notes

Acknowledgements

The German CRC TRR 154 Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks is acknowledged.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.FAU Erlangen-NürnbergLehrstuhl Angewandte Mathematik IErlangenGermany
  2. 2.Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM)KaiserslauternGermany

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