A Compact Closed-Form Dynamic Hysteresis Model for Energy-Loss Prediction in Power Magnetic Components.

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Title: A Compact Closed-Form Dynamic Hysteresis Model for Energy-Loss Prediction in Power Magnetic Components.
Authors: Tang, Yingjie1 (AUTHOR) ytang23@central.uh.edu, Guemri, Chayma1 (AUTHOR), Franchek, Matthew1 (AUTHOR)
Source: Energies (19961073). May2026, Vol. 19 Issue 9, p2078. 18p.
Subject Terms: *Energy dissipation, *Parameterization, *Magnetic cores, *Hammerstein equations, *Hysteresis loop, *Relaxation phenomena
Abstract: Magnetic hysteresis strongly influences energy dissipation and efficiency in power magnetic components under time-varying excitation. This work proposes a compact dynamic hysteresis model using a Hammerstein structure, consisting of a closed-form arctangent static operator followed by a first-order relaxation dynamic stage. The formulation enables direct datasheet-based parameterization and avoids iterative differential solvers or distributed hysteron representations, resulting in low calibration effort and computational cost. The static hysteresis behavior is characterized using four static parameters directly identified from manufacturer B-H datasheets, while dynamic effects are captured using two global calibration parameters derived from datasheet loss curves. This formulation enables accurate reconstruction of major and minor hysteresis loops, while introducing frequency-dependent phase lag and dynamic loop opening. Model performance is evaluated under diverse excitations, including sinusoidal, amplitude-modulated, FORC and chirp signals, showing waveform deviations below 7.2% peak-to-peak NRMSE relative to classical hysteresis models. Energy-loss predictions are validated against manufacturer datasheet curves for ferrite material 3C90 across multiple frequencies, yielding a root-mean-square relative error of 8.3% with 89% of operating points within ±20% deviation. The proposed model provides a datasheet-driven framework for hysteresis and energy-loss prediction in power magnetic components. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 193715974
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PubTypeId: academicJournal
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  Label: Title
  Group: Ti
  Data: A Compact Closed-Form Dynamic Hysteresis Model for Energy-Loss Prediction in Power Magnetic Components.
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  Data: <searchLink fieldCode="AR" term="%22Tang%2C+Yingjie%22">Tang, Yingjie</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ytang23@central.uh.edu</i><br /><searchLink fieldCode="AR" term="%22Guemri%2C+Chayma%22">Guemri, Chayma</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Franchek%2C+Matthew%22">Franchek, Matthew</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. May2026, Vol. 19 Issue 9, p2078. 18p.
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  Data: *<searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br />*<searchLink fieldCode="DE" term="%22Parameterization%22">Parameterization</searchLink><br />*<searchLink fieldCode="DE" term="%22Magnetic+cores%22">Magnetic cores</searchLink><br />*<searchLink fieldCode="DE" term="%22Hammerstein+equations%22">Hammerstein equations</searchLink><br />*<searchLink fieldCode="DE" term="%22Hysteresis+loop%22">Hysteresis loop</searchLink><br />*<searchLink fieldCode="DE" term="%22Relaxation+phenomena%22">Relaxation phenomena</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Magnetic hysteresis strongly influences energy dissipation and efficiency in power magnetic components under time-varying excitation. This work proposes a compact dynamic hysteresis model using a Hammerstein structure, consisting of a closed-form arctangent static operator followed by a first-order relaxation dynamic stage. The formulation enables direct datasheet-based parameterization and avoids iterative differential solvers or distributed hysteron representations, resulting in low calibration effort and computational cost. The static hysteresis behavior is characterized using four static parameters directly identified from manufacturer B-H datasheets, while dynamic effects are captured using two global calibration parameters derived from datasheet loss curves. This formulation enables accurate reconstruction of major and minor hysteresis loops, while introducing frequency-dependent phase lag and dynamic loop opening. Model performance is evaluated under diverse excitations, including sinusoidal, amplitude-modulated, FORC and chirp signals, showing waveform deviations below 7.2% peak-to-peak NRMSE relative to classical hysteresis models. Energy-loss predictions are validated against manufacturer datasheet curves for ferrite material 3C90 across multiple frequencies, yielding a root-mean-square relative error of 8.3% with 89% of operating points within ±20% deviation. The proposed model provides a datasheet-driven framework for hysteresis and energy-loss prediction in power magnetic components. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.3390/en19092078
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 18
        StartPage: 2078
    Subjects:
      – SubjectFull: Energy dissipation
        Type: general
      – SubjectFull: Parameterization
        Type: general
      – SubjectFull: Magnetic cores
        Type: general
      – SubjectFull: Hammerstein equations
        Type: general
      – SubjectFull: Hysteresis loop
        Type: general
      – SubjectFull: Relaxation phenomena
        Type: general
    Titles:
      – TitleFull: A Compact Closed-Form Dynamic Hysteresis Model for Energy-Loss Prediction in Power Magnetic Components.
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            NameFull: Tang, Yingjie
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            NameFull: Guemri, Chayma
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            NameFull: Franchek, Matthew
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 19
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              Value: 9
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            – TitleFull: Energies (19961073)
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