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Transformer Leakage Inductance Calculation Method with Experimental Validation for CLLLC Converter Topology

Author

Listed:
  • Zhi Yang

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
    Wanbang Digital Energy, Changzhou 213100, China)

  • Mustafa Tahir

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Sideng Hu

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Qiuyan Huang

    (Wanbang Digital Energy, Changzhou 213100, China)

  • Haoqi Zhu

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

Abstract

Leakage inductance is one of the key parameters of a transformer, and it is often intentionally integrated into transformers. Rogowski’s equation is generally used for leakage inductance calculation; however, it is only applicable to concentric winding transformers where windings have the same height. Consequently, it has limited applications. This paper proposes a transformer leakage inductance calculation method using a double Fourier series. The limitation of Rogowski’s leakage inductance equation was analyzed in practical applications, and a new model for calculating the leakage inductance of a double-group-overlapping winding transformer was derived. Experimental prototypes of transformers were developed, and their simulation models were built in Ansys. The correctness of the proposed calculation method for transformer leakage inductance using a double Fourier series was verified by comparing the calculation results with the simulation and measured ones. A sensitivity analysis was also conducted by studying the variations in different parameters that might affect the leakage inductance value. The proposed calculation model gives an intuitive and simple method with less calculation and design effort while maintaining reasonable accuracy for leakage inductance calculation. In addition, the featured double Fourier series approach has a wider range of applications than Rogowski’s equation.

Suggested Citation

  • Zhi Yang & Mustafa Tahir & Sideng Hu & Qiuyan Huang & Haoqi Zhu, 2022. "Transformer Leakage Inductance Calculation Method with Experimental Validation for CLLLC Converter Topology," Energies, MDPI, vol. 15(18), pages 1-14, September.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:18:p:6801-:d:917430
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    References listed on IDEAS

    as
    1. Xinsheng Zhang & Fei Xiao & Ruitian Wang & Wei Kang & Beichao Yang, 2022. "Modeling and Design of High-Power Enhanced Leakage-Inductance-Integrated Medium-Frequency Transformers for DAB Converters," Energies, MDPI, vol. 15(4), pages 1-23, February.
    2. Tadeusz Sobczyk & Marcin Jaraczewski, 2020. "On Simplified Calculations of Leakage Inductances of Power Transformers," Energies, MDPI, vol. 13(18), pages 1-13, September.
    3. Marcin Jaraczewski & Tadeusz Sobczyk, 2020. "Leakage Inductances of Transformers at Arbitrarily Located Windings," Energies, MDPI, vol. 13(23), pages 1-20, December.
    Full references (including those not matched with items on IDEAS)

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