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<p>Accurate and rapid calculation of leakage inductance parameters in high-frequency transformers is crucial for the optimized design of power electronic devices. To address the issues of low computational efficiency in the finite element method and the limitations of the image method due to mirror layers and mesh division, this paper proposes a fast leakage inductance calculation model for high-frequency transformers with round conductors based on a proper generalized decomposition (PGD) spatial separation strategy under a dual 2D framework. A PGD spatial separation model for the magnetic field in the transformer window is developed within the dual 2D framework, and singular value decomposition (SVD) is introduced to decouple the current density distribution in round conductor cross sections, resulting in a current excitation model suitable for PGD solution. Combined with skin effect and proximity effect factors, a leakage inductance energy-based calculation system that accounts for eddy current effects is established. Experimental validation using two prototypes with different wire diameters shows that the average relative error between the model calculations and measured results is less than 5%. The results demonstrate that the proposed method significantly improves computational efficiency while ensuring accuracy, providing an effective tool for the optimized design of high-frequency transformer parameters.</p>

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A fast calculation model for leakage inductance of high-frequency transformers with round conductors based on the PGD spatial separation strategy

  • 期刊论文

  • 发表日期：

    2026年5月23日

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  • Liguo Zhong,
  • Xiuke Yan,
  • Yanli Zhang

摘要

Accurate and rapid calculation of leakage inductance parameters in high-frequency transformers is crucial for the optimized design of power electronic devices. To address the issues of low computational efficiency in the finite element method and the limitations of the image method due to mirror layers and mesh division, this paper proposes a fast leakage inductance calculation model for high-frequency transformers with round conductors based on a proper generalized decomposition (PGD) spatial separation strategy under a dual 2D framework. A PGD spatial separation model for the magnetic field in the transformer window is developed within the dual 2D framework, and singular value decomposition (SVD) is introduced to decouple the current density distribution in round conductor cross sections, resulting in a current excitation model suitable for PGD solution. Combined with skin effect and proximity effect factors, a leakage inductance energy-based calculation system that accounts for eddy current effects is established. Experimental validation using two prototypes with different wire diameters shows that the average relative error between the model calculations and measured results is less than 5%. The results demonstrate that the proposed method significantly improves computational efficiency while ensuring accuracy, providing an effective tool for the optimized design of high-frequency transformer parameters.