Hybrid Model to Evaluate the Frequency-Dependent Leakage Inductance of Partially-Filled Transformers
Abstract
The leakage inductance of a transformer designed for a power electronic converter can drop significantly as the switching frequency is increased due to skin and proximity effects. Although the magnetic image method-Based double-2-D model can predict the low-frequency leakage inductance of a partially filled transformer with sufficient accuracy, it is inherently a frequency-independent model. While Dowell's 1-D model uses frequency-dependent relations to account for both skin and proximity effects, its accuracy is severely affected by the assumed winding geometry. in this paper, a semi-analytical hybrid model is proposed that uses superposition to combine a modified Dowell's model with the double-2-D model to predict the true leakage inductance of partially filled transformers at any given frequency. All three conductor types—round, foil, and litz wire—are modeled and analyzed. the quasi-2-D model is further investigated on a variable inductance transformer (VIT) whose winding geometry can be modified mechanically to vary its leakage inductance. with less than 5% error throughout, the semi-analytically evaluated leakage inductances are in excellent agreement with the finite element method (FEM) simulated and experimentally measured leakage inductances.
Recommended Citation
A. Sharma and J. W. Kimball, "Hybrid Model to Evaluate the Frequency-Dependent Leakage Inductance of Partially-Filled Transformers," Power Electronic Devices and Components, vol. 5, article no. 100038, Elsevier, Jun 2023.
The definitive version is available at https://doi.org/10.1016/j.pedc.2023.100038
Department(s)
Electrical and Computer Engineering
Publication Status
Open Access
Keywords and Phrases
Double-2-D model; Dowell's model; Hybrid model; Image method; Leakage inductance; Partially-filled transformer
International Standard Serial Number (ISSN)
2772-3704
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 Elsevier, All rights reserved.
Publication Date
01 Jun 2023
Comments
Vehicle Technologies Office, Grant DE-EE0008449