Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Evaluation of Transformer Leakage Inductance Using Magnetic Image Method

Journal Article · · IEEE Transactions on Magnetics
 [1];  [2]
  1. Missouri University of Science and Technology, Rolla, MO (United States); Missouri University of Science and Technology
  2. Missouri University of Science and Technology, Rolla, MO (United States)
Leakage inductance is a critical design element of a transformer in a galvanically isolated power converter. For multi-objective optimization-based designs of power converters, analytical leakage inductance models that are computationally efficient and accurate are preferred over the Finite Element Methods (FEM). In this paper, three new analytical models are proposed—Triple-2D, Double- 2D, and Single-2D—that are formulated using the magnetic image method. These 2D models are used to calculate the leakage inductance of a partially filled shell-type transformer having a circular center leg, and the resulting errors are less than 1.25 % for each model when compared to the 3D FEM simulated value of the leakage inductance. Additionally, three different conductor models are considered, and their relative accuracies and computational efficiencies are investigated. Further, a variable inductance transformer (VIT) is designed, whose leakage inductance can be modified by moving one of the windings vertically along the central core leg. Here, the analytically evaluated variable leakage inductances of the VIT are in good agreement with the 3D FEM simulated and experimentally measured values.
Research Organization:
Missouri University of Science and Technology, Rolla, MO (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Office of Sustainable Transportation. Vehicle Technologies Office (VTO)
Grant/Contract Number:
EE0008449
OSTI ID:
1991831
Alternate ID(s):
OSTI ID: 1980526
Journal Information:
IEEE Transactions on Magnetics, Journal Name: IEEE Transactions on Magnetics Journal Issue: 11 Vol. 57; ISSN 0018-9464
Publisher:
Institute of Electrical and Electronics Engineers. Magnetics GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (25)

Review of power electronics in vehicle-to-grid systems journal February 2019
Electric and magnetic images journal January 1960
1MHz-1kW LLC Resonant Converter with Integrated Magnetics conference February 2007
Accurate and computationally efficient modeling of flyback transformer parasitics and their influence on converter losses conference September 2015
Computationally efficient leakage inductance calculation for a high-frequency core-type transformer conference August 2017
The analysis and comparison of leakage inductance in different winding arrangements for planar transformer conference November 2009
Accurate calculation of leakage inductance for balanced and fractional-interleaved winding in medium-frequency high-power transformer conference December 2017
Design guideline for magnetic integration in LLC resonant converters conference June 2008
Analytical Calculation of Static Leakage Inductances of HF Transformers Using PEEC Formulas journal January 2007
Leakage Inductance Calculation for Planar Transformers With a Magnetic Shunt journal November 2014
GaN-Based 1-MHz Partial Parallel Dual Active Bridge Converter With Integrated Magnetics journal August 2021
Design of Leakage Inductance in Resonant DC-DC Converter for Electric Vehicle Charger journal November 2012
Semi-Analytical Methods for Calculation of Leakage Inductance and Frequency-Dependent Resistance of Windings in Transformers journal October 2018
Finite-Element Analysis Modeling of High-Frequency Single-Phase Transformers Enabled by Metal Amorphous Nanocomposites and Calculation of Leakage Inductance for Different Winding Topologies journal July 2019
A High Efficiency Flyback Converter With New Active Clamp Technique journal July 2010
Leakage Inductance Analytical Calculation for Planar Components With Leakage Layers journal June 2016
Multiobjective Optimization of Medium-Frequency Transformers for Isolated Soft-Switching Converters Using a Genetic Algorithm journal April 2017
100 kW, 10 kHz Medium-Frequency Transformer Design Optimization and Experimental Verification journal February 2019
Comparison of Analytical Models of Transformer Leakage Inductance: Accuracy Versus Computational Effort journal January 2021
Leakage Inductance Calculation of the Transformers With Disordered Windings journal April 2019
Accurate and Efficient Computation of the Inductance Matrix of Transformer Windings for the Simulation of Very Fast Transients journal July 2011
New Methods for Computation of the Inductance Matrix of Transformer Windings for Very Fast Transients Studies journal October 2012
Analytical Calculation of Leakage Inductance for Low-Frequency Transformer Modeling journal January 2013
Modeling and Design of a Medium-Frequency Transformer for High-Power DC-DC Converters journal July 2019
Leakage Inductance Modelling of Transformers: Accurate and Fast Models to Scale the Leakage Inductance Per Unit Length conference September 2020

Similar Records

Novel Transformer with Variable Leakage and Magnetizing Inductances
Conference · Sun Oct 10 00:00:00 EDT 2021 · 2021 IEEE Energy Conversion Congress and Exposition (ECCE) · OSTI ID:1991833

Novel Transformer with Variable Leakage and Magnetizing Inductances
Conference · Sun Oct 10 00:00:00 EDT 2021 · 2021 IEEE Energy Conversion Congress and Exposition (ECCE) · OSTI ID:1991834

Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers
Journal Article · Wed Mar 15 20:00:00 EDT 2023 · Power Electronic Devices and Components · OSTI ID:1991822