Hysteresis loop reversing by applying Langevin approximation
Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Jeno Takacs [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Rechteinformationen: |
Nutzungsrecht: © Emerald Publishing Limited |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Compel - Bradford [u.a.] : MCB Univ. Press, 1982, 36(2017), 4, Seite 850-858 |
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| Übergeordnetes Werk: |
volume:36 ; year:2017 ; number:4 ; pages:850-858 |
| Links: |
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| DOI / URN: |
10.1108/COMPEL-09-2016-0384 |
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| 520 | |a Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. | ||
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| 650 | 4 | |a Composite materials | |
| 650 | 4 | |a Mathematical models | |
| 650 | 4 | |a Reconstruction | |
| 650 | 4 | |a Multiphase | |
| 650 | 4 | |a Neural networks | |
| 650 | 4 | |a Instruments | |
| 650 | 4 | |a Representations | |
| 650 | 4 | |a Hysteresis | |
| 650 | 4 | |a Exact solutions | |
| 650 | 4 | |a Reversing | |
| 650 | 4 | |a Formulas (mathematics) | |
| 650 | 4 | |a Magnetism | |
| 650 | 4 | |a Mathematical analysis | |
| 650 | 4 | |a Mathematical problems | |
| 650 | 4 | |a Industrial applications | |
| 650 | 4 | |a Measurement techniques | |
| 650 | 4 | |a Waveforms | |
| 650 | 4 | |a Hysteresis loops | |
| 650 | 4 | |a Approximation | |
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10.1108/COMPEL-09-2016-0384 doi PQ20171228 (DE-627)OLC1996129031 (DE-599)GBVOLC1996129031 (PRQ)e1362-204bb5c5e790b18d16f097a44f2741772dd426a58a6212cae4c578ed0da22860 (KEY)0113246620170000036000400850hysteresisloopreversingbyapplyinglangevinapproxima DE-627 ger DE-627 rakwb eng 050 DNB Jeno Takacs verfasserin aut Hysteresis loop reversing by applying Langevin approximation 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. Nutzungsrecht: © Emerald Publishing Limited Composite materials Mathematical models Reconstruction Multiphase Neural networks Instruments Representations Hysteresis Exact solutions Reversing Formulas (mathematics) Magnetism Mathematical analysis Mathematical problems Industrial applications Measurement techniques Waveforms Hysteresis loops Approximation Enthalten in Compel Bradford [u.a.] : MCB Univ. Press, 1982 36(2017), 4, Seite 850-858 (DE-627)13056589X (DE-600)787250-1 (DE-576)02299596X 0332-1649 nnns volume:36 year:2017 number:4 pages:850-858 http://dx.doi.org/10.1108/COMPEL-09-2016-0384 Volltext http://www.emeraldinsight.com/doi/abs/10.1108/COMPEL-09-2016-0384 https://search.proquest.com/docview/1923641808 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 AR 36 2017 4 850-858 |
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10.1108/COMPEL-09-2016-0384 doi PQ20171228 (DE-627)OLC1996129031 (DE-599)GBVOLC1996129031 (PRQ)e1362-204bb5c5e790b18d16f097a44f2741772dd426a58a6212cae4c578ed0da22860 (KEY)0113246620170000036000400850hysteresisloopreversingbyapplyinglangevinapproxima DE-627 ger DE-627 rakwb eng 050 DNB Jeno Takacs verfasserin aut Hysteresis loop reversing by applying Langevin approximation 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. Nutzungsrecht: © Emerald Publishing Limited Composite materials Mathematical models Reconstruction Multiphase Neural networks Instruments Representations Hysteresis Exact solutions Reversing Formulas (mathematics) Magnetism Mathematical analysis Mathematical problems Industrial applications Measurement techniques Waveforms Hysteresis loops Approximation Enthalten in Compel Bradford [u.a.] : MCB Univ. Press, 1982 36(2017), 4, Seite 850-858 (DE-627)13056589X (DE-600)787250-1 (DE-576)02299596X 0332-1649 nnns volume:36 year:2017 number:4 pages:850-858 http://dx.doi.org/10.1108/COMPEL-09-2016-0384 Volltext http://www.emeraldinsight.com/doi/abs/10.1108/COMPEL-09-2016-0384 https://search.proquest.com/docview/1923641808 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 AR 36 2017 4 850-858 |
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10.1108/COMPEL-09-2016-0384 doi PQ20171228 (DE-627)OLC1996129031 (DE-599)GBVOLC1996129031 (PRQ)e1362-204bb5c5e790b18d16f097a44f2741772dd426a58a6212cae4c578ed0da22860 (KEY)0113246620170000036000400850hysteresisloopreversingbyapplyinglangevinapproxima DE-627 ger DE-627 rakwb eng 050 DNB Jeno Takacs verfasserin aut Hysteresis loop reversing by applying Langevin approximation 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. Nutzungsrecht: © Emerald Publishing Limited Composite materials Mathematical models Reconstruction Multiphase Neural networks Instruments Representations Hysteresis Exact solutions Reversing Formulas (mathematics) Magnetism Mathematical analysis Mathematical problems Industrial applications Measurement techniques Waveforms Hysteresis loops Approximation Enthalten in Compel Bradford [u.a.] : MCB Univ. Press, 1982 36(2017), 4, Seite 850-858 (DE-627)13056589X (DE-600)787250-1 (DE-576)02299596X 0332-1649 nnns volume:36 year:2017 number:4 pages:850-858 http://dx.doi.org/10.1108/COMPEL-09-2016-0384 Volltext http://www.emeraldinsight.com/doi/abs/10.1108/COMPEL-09-2016-0384 https://search.proquest.com/docview/1923641808 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 AR 36 2017 4 850-858 |
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10.1108/COMPEL-09-2016-0384 doi PQ20171228 (DE-627)OLC1996129031 (DE-599)GBVOLC1996129031 (PRQ)e1362-204bb5c5e790b18d16f097a44f2741772dd426a58a6212cae4c578ed0da22860 (KEY)0113246620170000036000400850hysteresisloopreversingbyapplyinglangevinapproxima DE-627 ger DE-627 rakwb eng 050 DNB Jeno Takacs verfasserin aut Hysteresis loop reversing by applying Langevin approximation 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. Nutzungsrecht: © Emerald Publishing Limited Composite materials Mathematical models Reconstruction Multiphase Neural networks Instruments Representations Hysteresis Exact solutions Reversing Formulas (mathematics) Magnetism Mathematical analysis Mathematical problems Industrial applications Measurement techniques Waveforms Hysteresis loops Approximation Enthalten in Compel Bradford [u.a.] : MCB Univ. Press, 1982 36(2017), 4, Seite 850-858 (DE-627)13056589X (DE-600)787250-1 (DE-576)02299596X 0332-1649 nnns volume:36 year:2017 number:4 pages:850-858 http://dx.doi.org/10.1108/COMPEL-09-2016-0384 Volltext http://www.emeraldinsight.com/doi/abs/10.1108/COMPEL-09-2016-0384 https://search.proquest.com/docview/1923641808 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 AR 36 2017 4 850-858 |
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10.1108/COMPEL-09-2016-0384 doi PQ20171228 (DE-627)OLC1996129031 (DE-599)GBVOLC1996129031 (PRQ)e1362-204bb5c5e790b18d16f097a44f2741772dd426a58a6212cae4c578ed0da22860 (KEY)0113246620170000036000400850hysteresisloopreversingbyapplyinglangevinapproxima DE-627 ger DE-627 rakwb eng 050 DNB Jeno Takacs verfasserin aut Hysteresis loop reversing by applying Langevin approximation 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. Nutzungsrecht: © Emerald Publishing Limited Composite materials Mathematical models Reconstruction Multiphase Neural networks Instruments Representations Hysteresis Exact solutions Reversing Formulas (mathematics) Magnetism Mathematical analysis Mathematical problems Industrial applications Measurement techniques Waveforms Hysteresis loops Approximation Enthalten in Compel Bradford [u.a.] : MCB Univ. Press, 1982 36(2017), 4, Seite 850-858 (DE-627)13056589X (DE-600)787250-1 (DE-576)02299596X 0332-1649 nnns volume:36 year:2017 number:4 pages:850-858 http://dx.doi.org/10.1108/COMPEL-09-2016-0384 Volltext http://www.emeraldinsight.com/doi/abs/10.1108/COMPEL-09-2016-0384 https://search.proquest.com/docview/1923641808 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 AR 36 2017 4 850-858 |
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Hysteresis loop reversing by applying Langevin approximation |
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Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. |
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Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. |
| abstract_unstemmed |
Purpose The purpose of this paper is to model one of the unsolved problems of magnetism, the reversal of hysteresis loops, in an analytical way. The mathematical models, describing the multiphase steel used in engineering practice, without any exception, are unsuited to provide a way to reverse the hysteretic process. In this paper, a proposal is put forward to model it by using analytical expressions, applying the reversal of the Langevin function. This model works with a high accuracy, giving useful answers to a long unsolved magnetic problem, the lack of reversibility of the hysteresis loop. The use of the proposal is shown by applying the reversal of Langevin function to a sinusoidal and a triangular waveform, the two most frequently used waveforms in research, test and industrial applications. Schematic representations are given for the wave reconstruction by using the proposed method. Design/methodology/approach The unsolved reversibility of the hysteresis loop is approached by a simple analytical formula, providing close approximation for most applications. Findings The proposed solution, applying the reversal of Langevin function, to the problem provides a good practical solution. Research limitations/implications The simple analytical formula has been applied to a number of loops of widely different shapes and sizes with excellent results. Practical implications The proposed solution provides a missing mathematical tool to an unsolved problem for practical applications. Social implications The solution proposed will reduce the work required and provide replacement for expensive complex test instrumentation. Originality/value To the best of the authors’ knowledge, this approach used in this study is the first successful approach in this field, irrespective of the required waveform, and is completely independent of the model used by the user. |
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