Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Journal of Microwaves. Optoelectronics and Electromagnetic Applications |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742019000300408 |
Resumo: | Abstract The Jiles-Atherton scalar hysteresis model presents five parameters used to represent the material tested and used to calculate the magnetic losses. This article presents a comparative analysis of the performance of two methods of identifying these parameters. In the first method, the equations of Jiles-Atherton were assembled into a single non-linear ordinary differential equation as a function of the variables of interest. An algebraic system of five equations with five unknowns is obtained by evaluating the non-linear ordinary differential equation in five points belonging to the branch of the experimental hysteresis loop. The parameters are obtained by solving this system of equations using the method of Non-Linear Least Squares (NLLS). In the second method, the inverse model of Jiles-Atherton is used to calculate the magnetic field H from the experimental values of magnetic induction B. Using the method of genetic algorithms (MGA), the objective function given by the sum of the relative error of calculated magnetic field and experimental magnetic field along the hysteresis loop is minimized. To validate methods the experimental curves were compared with calculated ones. When applying the methods, it was verified that NLLS besides providing more accurate results, it is faster when compared to MGA. In the MGA the convergence of the calculated magnitudes to the experimental magnitudes improves when one of the chromosomes of the initial population is the solution obtained applying NLLS. |
id |
SBMO-1_5321d3ba2d6a947b4db0cd7fcbb87b22 |
---|---|
oai_identifier_str |
oai:scielo:S2179-10742019000300408 |
network_acronym_str |
SBMO-1 |
network_name_str |
Journal of Microwaves. Optoelectronics and Electromagnetic Applications |
repository_id_str |
|
spelling |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis ModelMagnetic hysteresismagnetic materialsmethod of genetic algorithmsnon-linear least squares methodAbstract The Jiles-Atherton scalar hysteresis model presents five parameters used to represent the material tested and used to calculate the magnetic losses. This article presents a comparative analysis of the performance of two methods of identifying these parameters. In the first method, the equations of Jiles-Atherton were assembled into a single non-linear ordinary differential equation as a function of the variables of interest. An algebraic system of five equations with five unknowns is obtained by evaluating the non-linear ordinary differential equation in five points belonging to the branch of the experimental hysteresis loop. The parameters are obtained by solving this system of equations using the method of Non-Linear Least Squares (NLLS). In the second method, the inverse model of Jiles-Atherton is used to calculate the magnetic field H from the experimental values of magnetic induction B. Using the method of genetic algorithms (MGA), the objective function given by the sum of the relative error of calculated magnetic field and experimental magnetic field along the hysteresis loop is minimized. To validate methods the experimental curves were compared with calculated ones. When applying the methods, it was verified that NLLS besides providing more accurate results, it is faster when compared to MGA. In the MGA the convergence of the calculated magnitudes to the experimental magnitudes improves when one of the chromosomes of the initial population is the solution obtained applying NLLS.Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo2019-07-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742019000300408Journal of Microwaves, Optoelectronics and Electromagnetic Applications v.18 n.3 2019reponame:Journal of Microwaves. Optoelectronics and Electromagnetic Applicationsinstname:Sociedade Brasileira de Microondas e Optoeletrônica (SBMO)instacron:SBMO10.1590/2179-10742019v18i31513info:eu-repo/semantics/openAccessMendes,Filomena B. R.Leite,Jean V.Batistela,Nelson J.Sadowski,NelsonSuárez,Fredy M. S.Barros Neto,João P. deeng2019-09-09T00:00:00Zoai:scielo:S2179-10742019000300408Revistahttp://www.jmoe.org/index.php/jmoe/indexONGhttps://old.scielo.br/oai/scielo-oai.php||editor_jmoe@sbmo.org.br2179-10742179-1074opendoar:2019-09-09T00:00Journal of Microwaves. Optoelectronics and Electromagnetic Applications - Sociedade Brasileira de Microondas e Optoeletrônica (SBMO)false |
dc.title.none.fl_str_mv |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model |
title |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model |
spellingShingle |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model Mendes,Filomena B. R. Magnetic hysteresis magnetic materials method of genetic algorithms non-linear least squares method |
title_short |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model |
title_full |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model |
title_fullStr |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model |
title_full_unstemmed |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model |
title_sort |
Comparison and Combination of Techniques for Determining the Parameters of a Magnetic Hysteresis Model |
author |
Mendes,Filomena B. R. |
author_facet |
Mendes,Filomena B. R. Leite,Jean V. Batistela,Nelson J. Sadowski,Nelson Suárez,Fredy M. S. Barros Neto,João P. de |
author_role |
author |
author2 |
Leite,Jean V. Batistela,Nelson J. Sadowski,Nelson Suárez,Fredy M. S. Barros Neto,João P. de |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
Mendes,Filomena B. R. Leite,Jean V. Batistela,Nelson J. Sadowski,Nelson Suárez,Fredy M. S. Barros Neto,João P. de |
dc.subject.por.fl_str_mv |
Magnetic hysteresis magnetic materials method of genetic algorithms non-linear least squares method |
topic |
Magnetic hysteresis magnetic materials method of genetic algorithms non-linear least squares method |
description |
Abstract The Jiles-Atherton scalar hysteresis model presents five parameters used to represent the material tested and used to calculate the magnetic losses. This article presents a comparative analysis of the performance of two methods of identifying these parameters. In the first method, the equations of Jiles-Atherton were assembled into a single non-linear ordinary differential equation as a function of the variables of interest. An algebraic system of five equations with five unknowns is obtained by evaluating the non-linear ordinary differential equation in five points belonging to the branch of the experimental hysteresis loop. The parameters are obtained by solving this system of equations using the method of Non-Linear Least Squares (NLLS). In the second method, the inverse model of Jiles-Atherton is used to calculate the magnetic field H from the experimental values of magnetic induction B. Using the method of genetic algorithms (MGA), the objective function given by the sum of the relative error of calculated magnetic field and experimental magnetic field along the hysteresis loop is minimized. To validate methods the experimental curves were compared with calculated ones. When applying the methods, it was verified that NLLS besides providing more accurate results, it is faster when compared to MGA. In the MGA the convergence of the calculated magnitudes to the experimental magnitudes improves when one of the chromosomes of the initial population is the solution obtained applying NLLS. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-07-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742019000300408 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742019000300408 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/2179-10742019v18i31513 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo |
publisher.none.fl_str_mv |
Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo |
dc.source.none.fl_str_mv |
Journal of Microwaves, Optoelectronics and Electromagnetic Applications v.18 n.3 2019 reponame:Journal of Microwaves. Optoelectronics and Electromagnetic Applications instname:Sociedade Brasileira de Microondas e Optoeletrônica (SBMO) instacron:SBMO |
instname_str |
Sociedade Brasileira de Microondas e Optoeletrônica (SBMO) |
instacron_str |
SBMO |
institution |
SBMO |
reponame_str |
Journal of Microwaves. Optoelectronics and Electromagnetic Applications |
collection |
Journal of Microwaves. Optoelectronics and Electromagnetic Applications |
repository.name.fl_str_mv |
Journal of Microwaves. Optoelectronics and Electromagnetic Applications - Sociedade Brasileira de Microondas e Optoeletrônica (SBMO) |
repository.mail.fl_str_mv |
||editor_jmoe@sbmo.org.br |
_version_ |
1752122126649786368 |