Model Order Reduction for Networks of ODE and PDE Systems - System Modeling and Optimization Access content directly
Conference Papers Year : 2013

Model Order Reduction for Networks of ODE and PDE Systems

Michael Hinze
  • Function : Author
  • PersonId : 986392
Ulrich Matthes
  • Function : Author
  • PersonId : 986393

Abstract

We propose a model order reduction (MOR) approach for networks containing simple and complex components. Simple components are modeled by linear ODE (and/or DAE) systems, while complex components are modeled by nonlinear PDE (and/or PDAE) systems. These systems are coupled through the network topology using the Kirchhoff laws. As application we consider MOR for electrical networks, where semiconductors form the complex components which are modeled by the transient drift-diffusion equations (DDEs). We sketch how proper orthogonal decomposition (POD) combined with discrete empirical interpolation (DEIM) and passivity-preserving balanced truncation methods for electrical circuits (PABTEC) can be used to reduce the dimension of the model. Furthermore we investigate residual-based sampling to construct reduced order models which are valid over a certain parameter range.
Fichier principal
Vignette du fichier
978-3-642-36062-6_10_Chapter.pdf (4 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01347527 , version 1 (21-07-2016)

Licence

Attribution

Identifiers

Cite

Michael Hinze, Ulrich Matthes. Model Order Reduction for Networks of ODE and PDE Systems. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.92-101, ⟨10.1007/978-3-642-36062-6_10⟩. ⟨hal-01347527⟩
67 View
189 Download

Altmetric

Share

Gmail Facebook X LinkedIn More