Order reduction of hierarchical interconnected dynamical systems
<p>The simulation of large scale nonlinear dynamical interconnected systems, as they arise in all modern engineering disciplines, is a usual task. Due to the high complexity of the considered systems, the principle of thinking in hierarchical structures is essential and common among enginee...
| Main Authors: | , |
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| Format: | Article |
| Language: | deu |
| Published: |
Copernicus Publications
2018-09-01
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| Series: | Advances in Radio Science |
| Online Access: | https://www.adv-radio-sci.net/16/89/2018/ars-16-89-2018.pdf |
| _version_ | 1818392620795166720 |
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| author | M. Popp W. Mathis |
| author_facet | M. Popp W. Mathis |
| author_sort | M. Popp |
| collection | DOAJ |
| description | <p>The simulation of large scale nonlinear dynamical interconnected systems, as
they arise in all modern engineering disciplines, is a usual task. Due to the
high complexity of the considered systems, the principle of thinking in
hierarchical structures is essential and common among engineers. Therefore,
this contribution proposes an approach for the numerical simulation of large
systems, which keeps the hierarchical system structure alive during the
entire simulation process while simultaneously exploiting it for order
reduction purposes. This is accomplished by embedding the trajectory
piecewise linear order reduction scheme in a modified variant of the
component connection modeling for building interconnected system structures.
The application of this concept is demonstrated by means of a widely used
benchmark example and a modified variant of it.</p> |
| first_indexed | 2024-12-14T05:32:19Z |
| format | Article |
| id | doaj.art-526c7e4820234910be34fe8d6c4bb3d8 |
| institution | Directory Open Access Journal |
| issn | 1684-9965 1684-9973 |
| language | deu |
| last_indexed | 2024-12-14T05:32:19Z |
| publishDate | 2018-09-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Advances in Radio Science |
| spelling | doaj.art-526c7e4820234910be34fe8d6c4bb3d82022-12-21T23:15:18ZdeuCopernicus PublicationsAdvances in Radio Science1684-99651684-99732018-09-0116899710.5194/ars-16-89-2018Order reduction of hierarchical interconnected dynamical systemsM. Popp0W. Mathis1Institut für Theoretische Elektrotechnik, Leibniz Universität Hannover, Appelstraße 9A, 30167 Hannover, GermanyInstitut für Theoretische Elektrotechnik, Leibniz Universität Hannover, Appelstraße 9A, 30167 Hannover, Germany<p>The simulation of large scale nonlinear dynamical interconnected systems, as they arise in all modern engineering disciplines, is a usual task. Due to the high complexity of the considered systems, the principle of thinking in hierarchical structures is essential and common among engineers. Therefore, this contribution proposes an approach for the numerical simulation of large systems, which keeps the hierarchical system structure alive during the entire simulation process while simultaneously exploiting it for order reduction purposes. This is accomplished by embedding the trajectory piecewise linear order reduction scheme in a modified variant of the component connection modeling for building interconnected system structures. The application of this concept is demonstrated by means of a widely used benchmark example and a modified variant of it.</p>https://www.adv-radio-sci.net/16/89/2018/ars-16-89-2018.pdf |
| spellingShingle | M. Popp W. Mathis Order reduction of hierarchical interconnected dynamical systems Advances in Radio Science |
| title | Order reduction of hierarchical interconnected dynamical systems |
| title_full | Order reduction of hierarchical interconnected dynamical systems |
| title_fullStr | Order reduction of hierarchical interconnected dynamical systems |
| title_full_unstemmed | Order reduction of hierarchical interconnected dynamical systems |
| title_short | Order reduction of hierarchical interconnected dynamical systems |
| title_sort | order reduction of hierarchical interconnected dynamical systems |
| url | https://www.adv-radio-sci.net/16/89/2018/ars-16-89-2018.pdf |
| work_keys_str_mv | AT mpopp orderreductionofhierarchicalinterconnecteddynamicalsystems AT wmathis orderreductionofhierarchicalinterconnecteddynamicalsystems |