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January 13, 2022
Journal Article
Title

Implicit multilinear modeling

Title Supplement
An introduction with application to energy systems
Other Title
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  
Journal
Automatisierungstechnik : AT  
Open Access
File(s)
Download (757.26 KB)
Rights
CC BY 4.0: Creative Commons Attribution
DOI
10.1515/auto-2021-0133
10.24406/publica-606
Additional full text version
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Language
English
Fraunhofer-Institut für Windenergiesysteme IWES  
Keyword(s)
  • multilinear algebra

  • differential-algebraic models

  • tensor decompositions

  • energy systems

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