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Effective Permeability of Multi Air Gap Ferrite Core 3-Phase Medium Frequency Transformer in Isolated DC-DC Converters

Author

Listed:
  • Piotr Dworakowski

    (Power Electronics & Converters, SuperGrid Institute, 69100 Villeurbanne, France)

  • Andrzej Wilk

    (Faculty of Electrical and Control Engineering, Gdańsk University of Technology, 80-233 Gdansk, Poland)

  • Michal Michna

    (Faculty of Electrical and Control Engineering, Gdańsk University of Technology, 80-233 Gdansk, Poland)

  • Bruno Lefebvre

    (Power Electronics & Converters, SuperGrid Institute, 69100 Villeurbanne, France)

  • Fabien Sixdenier

    (Univ Lyon, Université Claude Bernard Lyon 1, INSA Lyon, ECLyon, CNRS, Ampère, 69100 Villeurbanne, France)

  • Michel Mermet-Guyennet

    (Power Electronics & Converters, SuperGrid Institute, 69100 Villeurbanne, France)

Abstract

The magnetizing inductance of the medium frequency transformer (MFT) impacts the performance of the isolated dc-dc power converters. The ferrite material is considered for high power transformers but it requires an assembly of type “I” cores resulting in a multi air gap structure of the magnetic core. The authors claim that the multiple air gaps are randomly distributed and that the average air gap length is unpredictable at the industrial design stage. As a consequence, the required effective magnetic permeability and the magnetizing inductance are difficult to achieve within reasonable error margins. This article presents the measurements of the equivalent B ( H ) and the equivalent magnetic permeability of two three-phase MFT prototypes. The measured equivalent B ( H ) is used in an FEM simulation and compared against a no load test of a 100 kW isolated dc-dc converter showing a good fit within a 10% error. Further analysis leads to the demonstration that the equivalent magnetic permeability and the average air gap length are nonlinear functions of the number of air gaps. The proposed exponential scaling function enables rapid estimation of the magnetizing inductance based on the ferrite material datasheet only.

Suggested Citation

  • Piotr Dworakowski & Andrzej Wilk & Michal Michna & Bruno Lefebvre & Fabien Sixdenier & Michel Mermet-Guyennet, 2020. "Effective Permeability of Multi Air Gap Ferrite Core 3-Phase Medium Frequency Transformer in Isolated DC-DC Converters," Energies, MDPI, vol. 13(6), pages 1-21, March.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:6:p:1352-:d:332531
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    References listed on IDEAS

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    1. Jordi Everts, 2016. "Design and Optimization of an Efficient (96.1%) and Compact (2 kW/dm3) Bidirectional Isolated Single-Phase Dual Active Bridge AC-DC Converter," Energies, MDPI, vol. 9(10), pages 1-40, October.
    2. Dante Ruiz-Robles & Vicente Venegas-Rebollar & Adolfo Anaya-Ruiz & Edgar L. Moreno-Goytia & Juan R. Rodríguez-Rodríguez, 2018. "Design and Prototyping Medium-Frequency Transformers Featuring a Nanocrystalline Core for DC–DC Converters," Energies, MDPI, vol. 11(8), pages 1-17, August.
    3. Dante Ruiz-Robles & Jorge Ortíz-Marín & Vicente Venegas-Rebollar & Edgar L. Moreno-Goytia & David Granados-Lieberman & Juan R. Rodríguez-Rodriguez, 2019. "Nanocrystalline and Silicon Steel Medium-Frequency Transformers Applied to DC-DC Converters: Analysis and Experimental Comparison," Energies, MDPI, vol. 12(11), pages 1-16, May.
    4. Eun-Soo Kim & Jae-Sung Oh, 2019. "High-Efficiency Bidirectional LLC Resonant Converter with Primary Auxiliary Windings," Energies, MDPI, vol. 12(24), pages 1-14, December.
    5. Yann E. Bouvier & Diego Serrano & Uroš Borović & Gonzalo Moreno & Miroslav Vasić & Jesús A. Oliver & Pedro Alou & José A. Cobos & Jorge Carmena, 2019. "ZVS Auxiliary Circuit for a 10 kW Unregulated LLC Full-Bridge Operating at Resonant Frequency for Aircraft Application," Energies, MDPI, vol. 12(10), pages 1-20, May.
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