Analytical Hybrid Quasi-3D Transformer Leakage Inductance Model
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Date
2023-04
Publication Type
Journal Article
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yes
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Abstract
Fast and accurate models of the transformer leakage inductance are crucial for optimisation-based design of isolated converters. This paper proposes an analytical Hybrid Quasi-3D (HQ3D) model for E/U/ER/UR-core type transformers that combines the best-suited submodels for each winding section of the transformer. A submodel is developed that directly calculates the leakage inductance contribution of curved winding sections based on the integration of the radially weighted magnetic energy density. The HQ3D model can describe arbitrary winding positions and its fully analytical nature guarantees optimal geometrical scalability. The only restriction is that the windings need to be parallel to the core edges. The HQ3D model is in the accuracy range of 3D FEM and verified with measurements on nine transformer prototypes with significantly different geometry ranges. The HQ3D model is rapidly executable and therefore well-suited for optimisations of galvanically isolated converters.
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published
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Journal / series
Volume
38 (4)
Pages / Article No.
5092 - 5106
Publisher
IEEE
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Software
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Subject
Analytical transformer leakage inductance model; Hybrid models; Quasi-3D; Double-2D; Optimisation; Isolated converters
Organisational unit
03889 - Biela, Jürgen / Biela, Jürgen