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13 January 2022
Journal Article
Titel

Implicit multilinear modeling

Titel Supplements
An introduction with application to energy systems
Alternative
Implizite multilineare Modellierung - Eine Einführung mit Anwendung auf Energiesysteme
Abstract
The paper introduces a subclass of nonlinear differential-algebraic models of interest for applications. By restricting the nonlinearities to multilinear polynomials, it is possible to use modern tensor methods. This opens the door to new approximation and complexity reduction methods for large scale systems with relevant nonlinear behavior. The modeling procedures including composition, decomposition, normalization, and multilinearization steps are shown by an example of a local energy system with a nonlinear electrolyzer, a linear buck converter and a PI controller with saturation.
Author(s)
Lichtenberg, Gerwald
Pangalos, Georg
Fraunhofer-Institut für Windenergiesysteme IWES
Cateriano Yáñez, Carlos
Fraunhofer-Institut für Windenergiesysteme IWES
Luxa, Aline
Fraunhofer-Institut für Windenergiesysteme IWES
Jöres, Niklas
Fraunhofer-Institut für Windenergiesysteme IWES
Schnelle, Leona
Kaufmann, Christoph
Fraunhofer-Institut für Windenergiesysteme IWES
Zeitschrift
Automatisierungstechnik : AT
DOI
10.1515/auto-2021-0133
10.24406/publica-606
File(s)
10.1515_auto-2021-0133.pdf (757.26 KB)
Language
English
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Fraunhofer-Institut für Windenergiesysteme IWES
Tags
  • multilinear algebra

  • differential-algebrai...

  • tensor decompositions...

  • energy systems

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