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.
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Acknowledgements
The German CRC TRR 154 Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks is acknowledged.
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Lu, Y., Marheineke, N., Mohring, J. (2017). Stability-Preserving Interpolation Strategy for Parametric MOR of Gas Pipeline-Networks. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_68
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DOI: https://doi.org/10.1007/978-3-319-63082-3_68
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