Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers
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 partiall...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-06-01
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| Series: | Power Electronic Devices and Components |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2772370423000068 |
| _version_ | 1797803867982790656 |
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| author | Angshuman Sharma Jonathan W. Kimball |
| author_facet | Angshuman Sharma Jonathan W. Kimball |
| author_sort | Angshuman Sharma |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T05:27:29Z |
| format | Article |
| id | doaj.art-847d6f4517be413387db1010de717b6c |
| institution | Directory Open Access Journal |
| issn | 2772-3704 |
| language | English |
| last_indexed | 2024-03-13T05:27:29Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Power Electronic Devices and Components |
| spelling | doaj.art-847d6f4517be413387db1010de717b6c2023-06-15T04:57:31ZengElsevierPower Electronic Devices and Components2772-37042023-06-015100038Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformersAngshuman Sharma0Jonathan W. Kimball1Department of Electrical and Computer Engineering, Missouri University of Science and Technology, Rolla, MO 65401, USACorresponding author.; Department of Electrical and Computer Engineering, Missouri University of Science and Technology, Rolla, MO 65401, USAThe 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.http://www.sciencedirect.com/science/article/pii/S2772370423000068Double-2-D modelDowell’s modelHybrid modelImage methodLeakage inductancePartially-filled transformer |
| spellingShingle | Angshuman Sharma Jonathan W. Kimball Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers Power Electronic Devices and Components Double-2-D model Dowell’s model Hybrid model Image method Leakage inductance Partially-filled transformer |
| title | Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers |
| title_full | Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers |
| title_fullStr | Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers |
| title_full_unstemmed | Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers |
| title_short | Hybrid model to evaluate the frequency-dependent leakage inductance of partially-filled transformers |
| title_sort | hybrid model to evaluate the frequency dependent leakage inductance of partially filled transformers |
| topic | Double-2-D model Dowell’s model Hybrid model Image method Leakage inductance Partially-filled transformer |
| url | http://www.sciencedirect.com/science/article/pii/S2772370423000068 |
| work_keys_str_mv | AT angshumansharma hybridmodeltoevaluatethefrequencydependentleakageinductanceofpartiallyfilledtransformers AT jonathanwkimball hybridmodeltoevaluatethefrequencydependentleakageinductanceofpartiallyfilledtransformers |