On the reduction of nonlinear electromechanical systems
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
DOI: | 10.1007/s11012-022-01542-4 |
Texto Completo: | http://dx.doi.org/10.1007/s11012-022-01542-4 http://hdl.handle.net/11449/241955 |
Resumo: | The present work revisits the reduction of the nonlinear dynamics of an electromechanical system through a quasi-steady state hypothesis, discussing the fundamental aspects of this type of approach and clarifying some confusing points found in the literature. Expressions for the characteristic time scales of dynamics are deduced from a physical analysis that establishes an analogy between electromechanical dynamics and the kinetics of a chemical reaction. It provides a physical justification, supplemented by non-dimensionalization and scaling of the equations, to reduce the dynamics of interest by assuming a quasi-steady state for the electrical subsystem, eliminating the inductive term from the electrical equation. Numerical experiments help to illustrate the typical behavior of the electromechanical system, a boundary layer phenomenon near the initial dynamic state, and the validity limits of the electromechanical quasi-steady-state assumption discussed here. |
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Repositório Institucional da UNESP |
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On the reduction of nonlinear electromechanical systemsDC motor-cart systemElectromechanical dynamicsModel-order reductionNonlinear dynamicsQuasi-steady-state assumptionThe present work revisits the reduction of the nonlinear dynamics of an electromechanical system through a quasi-steady state hypothesis, discussing the fundamental aspects of this type of approach and clarifying some confusing points found in the literature. Expressions for the characteristic time scales of dynamics are deduced from a physical analysis that establishes an analogy between electromechanical dynamics and the kinetics of a chemical reaction. It provides a physical justification, supplemented by non-dimensionalization and scaling of the equations, to reduce the dynamics of interest by assuming a quasi-steady state for the electrical subsystem, eliminating the inductive term from the electrical equation. Numerical experiments help to illustrate the typical behavior of the electromechanical system, a boundary layer phenomenon near the initial dynamic state, and the validity limits of the electromechanical quasi-steady-state assumption discussed here.Rio de Janeiro State UniversitySENAI Innovation InstituteFederal University of MaranhãoFederal University of Technology – ParanáSão Paulo State UniversitySão Paulo State UniversityRio de Janeiro State UniversitySENAI Innovation InstituteFederal University of MaranhãoFederal University of Technology – ParanáUniversidade Estadual Paulista (UNESP)Cunha, AmericoPereira, MarceloAvanço, RafaelTusset, Angelo MarceloBalthazar, José Manoel [UNESP]2023-03-02T05:21:41Z2023-03-02T05:21:41Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s11012-022-01542-4Meccanica.1572-96480025-6455http://hdl.handle.net/11449/24195510.1007/s11012-022-01542-42-s2.0-85132343026Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMeccanicainfo:eu-repo/semantics/openAccess2023-03-02T05:21:42Zoai:repositorio.unesp.br:11449/241955Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:51:54.599523Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On the reduction of nonlinear electromechanical systems |
title |
On the reduction of nonlinear electromechanical systems |
spellingShingle |
On the reduction of nonlinear electromechanical systems On the reduction of nonlinear electromechanical systems Cunha, Americo DC motor-cart system Electromechanical dynamics Model-order reduction Nonlinear dynamics Quasi-steady-state assumption Cunha, Americo DC motor-cart system Electromechanical dynamics Model-order reduction Nonlinear dynamics Quasi-steady-state assumption |
title_short |
On the reduction of nonlinear electromechanical systems |
title_full |
On the reduction of nonlinear electromechanical systems |
title_fullStr |
On the reduction of nonlinear electromechanical systems On the reduction of nonlinear electromechanical systems |
title_full_unstemmed |
On the reduction of nonlinear electromechanical systems On the reduction of nonlinear electromechanical systems |
title_sort |
On the reduction of nonlinear electromechanical systems |
author |
Cunha, Americo |
author_facet |
Cunha, Americo Cunha, Americo Pereira, Marcelo Avanço, Rafael Tusset, Angelo Marcelo Balthazar, José Manoel [UNESP] Pereira, Marcelo Avanço, Rafael Tusset, Angelo Marcelo Balthazar, José Manoel [UNESP] |
author_role |
author |
author2 |
Pereira, Marcelo Avanço, Rafael Tusset, Angelo Marcelo Balthazar, José Manoel [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Rio de Janeiro State University SENAI Innovation Institute Federal University of Maranhão Federal University of Technology – Paraná Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Cunha, Americo Pereira, Marcelo Avanço, Rafael Tusset, Angelo Marcelo Balthazar, José Manoel [UNESP] |
dc.subject.por.fl_str_mv |
DC motor-cart system Electromechanical dynamics Model-order reduction Nonlinear dynamics Quasi-steady-state assumption |
topic |
DC motor-cart system Electromechanical dynamics Model-order reduction Nonlinear dynamics Quasi-steady-state assumption |
description |
The present work revisits the reduction of the nonlinear dynamics of an electromechanical system through a quasi-steady state hypothesis, discussing the fundamental aspects of this type of approach and clarifying some confusing points found in the literature. Expressions for the characteristic time scales of dynamics are deduced from a physical analysis that establishes an analogy between electromechanical dynamics and the kinetics of a chemical reaction. It provides a physical justification, supplemented by non-dimensionalization and scaling of the equations, to reduce the dynamics of interest by assuming a quasi-steady state for the electrical subsystem, eliminating the inductive term from the electrical equation. Numerical experiments help to illustrate the typical behavior of the electromechanical system, a boundary layer phenomenon near the initial dynamic state, and the validity limits of the electromechanical quasi-steady-state assumption discussed here. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-01-01 2023-03-02T05:21:41Z 2023-03-02T05:21:41Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/s11012-022-01542-4 Meccanica. 1572-9648 0025-6455 http://hdl.handle.net/11449/241955 10.1007/s11012-022-01542-4 2-s2.0-85132343026 |
url |
http://dx.doi.org/10.1007/s11012-022-01542-4 http://hdl.handle.net/11449/241955 |
identifier_str_mv |
Meccanica. 1572-9648 0025-6455 10.1007/s11012-022-01542-4 2-s2.0-85132343026 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Meccanica |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1822231542569631744 |
dc.identifier.doi.none.fl_str_mv |
10.1007/s11012-022-01542-4 |