On the reduction of nonlinear electromechanical systems

Detalhes bibliográficos
Autor(a) principal: Cunha, Americo
Data de Publicação: 2022
Outros Autores: Pereira, Marcelo, Avanço, Rafael, Tusset, Angelo Marcelo, Balthazar, José Manoel [UNESP]
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.
id UNSP_40c2163754d091017cc764fb0a3f15ec
oai_identifier_str oai:repositorio.unesp.br:11449/241955
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling 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