Estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)

Analyses of magnetic field help find out internal states noninvasively and there are many applications of the analyses for nondestructive inspections. In the field of power sources, there has been a great discussion about behaviors of an internal short circuit in a lithium-ion battery. Since lithium...

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Autores principales: Yoshinao KISHIMOTO, Takahito TOGO, Yukiyoshi KOBAYASHI, Toshihisa OHTSUKA, Kenji AMAYA
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Publicado: The Japan Society of Mechanical Engineers 2016
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Acceso en línea:https://doaj.org/article/8c0dae3ccd2747ab9183be4eef19d49e
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spelling oai:doaj.org-article:8c0dae3ccd2747ab9183be4eef19d49e2021-11-26T06:53:45ZEstimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)2187-974510.1299/mej.16-00046https://doaj.org/article/8c0dae3ccd2747ab9183be4eef19d49e2016-06-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/4/3_16-00046/_pdf/-char/enhttps://doaj.org/toc/2187-9745Analyses of magnetic field help find out internal states noninvasively and there are many applications of the analyses for nondestructive inspections. In the field of power sources, there has been a great discussion about behaviors of an internal short circuit in a lithium-ion battery. Since lithium-ion batteries supply or preserve high energy, the visualization of the current flow in the batteries is an important issue to prevent serious incidents by such short circuits. The basic structure of lithium-ion batteries is a type of laminated constructions of thin sheets. This study has developed a novel estimation method of the current density between laminated thin sheets by the inverse analysis of the magnetic field, and investigated its applicability to the short circuit localization. In the proposed method, the boundary element method (BEM) for thin plate, the Tikhonov regularization and the Kullback-Leibler divergence are applied. The BEM calculates the observation equation relating the current density to the magnetic flux density in high accuracy and high speed. The Tikhonov regularization reduces the influence of the measurement error on the estimated value. By using the Kullback-Leibler divergence as the criterion to determine the Tikhonov regularization parameter, it makes the standard deviation of the magnetic flux density useful to the evaluation of the estimated current density. In order to verify the proposed method, numerical simulations and actual measurements were performed. From the results of the numerical simulations and the actual measurements, it is concluded that the proposed method provides the location of the short circuit between the thin sheets through the estimation of the current density. Moreover, the limitation of the proposed method was observed in terms of the standard deviation of the magnetic flux density.Yoshinao KISHIMOTOTakahito TOGOYukiyoshi KOBAYASHIToshihisa OHTSUKAKenji AMAYAThe Japan Society of Mechanical Engineersarticleinverse problemlaminated constructionshell structureshort circuitelectromagnetic measurementnondestructive inspectionboundary element methodMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 4, Pp 16-00046-16-00046 (2016)
institution DOAJ
collection DOAJ
language EN
topic inverse problem
laminated construction
shell structure
short circuit
electromagnetic measurement
nondestructive inspection
boundary element method
Mechanical engineering and machinery
TJ1-1570
spellingShingle inverse problem
laminated construction
shell structure
short circuit
electromagnetic measurement
nondestructive inspection
boundary element method
Mechanical engineering and machinery
TJ1-1570
Yoshinao KISHIMOTO
Takahito TOGO
Yukiyoshi KOBAYASHI
Toshihisa OHTSUKA
Kenji AMAYA
Estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)
description Analyses of magnetic field help find out internal states noninvasively and there are many applications of the analyses for nondestructive inspections. In the field of power sources, there has been a great discussion about behaviors of an internal short circuit in a lithium-ion battery. Since lithium-ion batteries supply or preserve high energy, the visualization of the current flow in the batteries is an important issue to prevent serious incidents by such short circuits. The basic structure of lithium-ion batteries is a type of laminated constructions of thin sheets. This study has developed a novel estimation method of the current density between laminated thin sheets by the inverse analysis of the magnetic field, and investigated its applicability to the short circuit localization. In the proposed method, the boundary element method (BEM) for thin plate, the Tikhonov regularization and the Kullback-Leibler divergence are applied. The BEM calculates the observation equation relating the current density to the magnetic flux density in high accuracy and high speed. The Tikhonov regularization reduces the influence of the measurement error on the estimated value. By using the Kullback-Leibler divergence as the criterion to determine the Tikhonov regularization parameter, it makes the standard deviation of the magnetic flux density useful to the evaluation of the estimated current density. In order to verify the proposed method, numerical simulations and actual measurements were performed. From the results of the numerical simulations and the actual measurements, it is concluded that the proposed method provides the location of the short circuit between the thin sheets through the estimation of the current density. Moreover, the limitation of the proposed method was observed in terms of the standard deviation of the magnetic flux density.
format article
author Yoshinao KISHIMOTO
Takahito TOGO
Yukiyoshi KOBAYASHI
Toshihisa OHTSUKA
Kenji AMAYA
author_facet Yoshinao KISHIMOTO
Takahito TOGO
Yukiyoshi KOBAYASHI
Toshihisa OHTSUKA
Kenji AMAYA
author_sort Yoshinao KISHIMOTO
title Estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)
title_short Estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)
title_full Estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)
title_fullStr Estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)
title_full_unstemmed Estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (Application to short circuit localization)
title_sort estimation method of current density between laminated thin sheets by inverse analysis of magnetic field (application to short circuit localization)
publisher The Japan Society of Mechanical Engineers
publishDate 2016
url https://doaj.org/article/8c0dae3ccd2747ab9183be4eef19d49e
work_keys_str_mv AT yoshinaokishimoto estimationmethodofcurrentdensitybetweenlaminatedthinsheetsbyinverseanalysisofmagneticfieldapplicationtoshortcircuitlocalization
AT takahitotogo estimationmethodofcurrentdensitybetweenlaminatedthinsheetsbyinverseanalysisofmagneticfieldapplicationtoshortcircuitlocalization
AT yukiyoshikobayashi estimationmethodofcurrentdensitybetweenlaminatedthinsheetsbyinverseanalysisofmagneticfieldapplicationtoshortcircuitlocalization
AT toshihisaohtsuka estimationmethodofcurrentdensitybetweenlaminatedthinsheetsbyinverseanalysisofmagneticfieldapplicationtoshortcircuitlocalization
AT kenjiamaya estimationmethodofcurrentdensitybetweenlaminatedthinsheetsbyinverseanalysisofmagneticfieldapplicationtoshortcircuitlocalization
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