On Simplified Calculations of Leakage Inductances of Power Transformers
This paper deals with the problem of the leakage inductance calculations in power transformers. Commonly, the leakage flux in the air zone is represented by short-circuit inductance, which determines the short-circuit voltage, which is a very important factor for power transformers. That inductance...
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Format: | Article |
Language: | English |
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MDPI AG
2020-09-01
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Series: | Energies |
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Online Access: | https://www.mdpi.com/1996-1073/13/18/4952 |
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author | Tadeusz Sobczyk Marcin Jaraczewski |
author_facet | Tadeusz Sobczyk Marcin Jaraczewski |
author_sort | Tadeusz Sobczyk |
collection | DOAJ |
description | This paper deals with the problem of the leakage inductance calculations in power transformers. Commonly, the leakage flux in the air zone is represented by short-circuit inductance, which determines the short-circuit voltage, which is a very important factor for power transformers. That inductance is a good representation of the typical power transformer windings, but it is insufficient for multi-winding ones. This paper presents simple formulae for self- and mutual leakage inductance calculations for an arbitrary pair of windings. It follows from a simple 1D approach to analyzing the stray field using a discrete differential operator, and it was verified by the finite element method (FEM) calculation results. |
first_indexed | 2024-03-10T16:09:33Z |
format | Article |
id | doaj.art-421d2410dcb842da91623832f23c0c27 |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-03-10T16:09:33Z |
publishDate | 2020-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Energies |
spelling | doaj.art-421d2410dcb842da91623832f23c0c272023-11-20T14:33:38ZengMDPI AGEnergies1996-10732020-09-011318495210.3390/en13184952On Simplified Calculations of Leakage Inductances of Power TransformersTadeusz Sobczyk0Marcin Jaraczewski1Faculty of Electrical and Computer Engineering, Cracow University of Technology, Warszawska 24 Street, 31-155 Cracow, PolandFaculty of Electrical and Computer Engineering, Cracow University of Technology, Warszawska 24 Street, 31-155 Cracow, PolandThis paper deals with the problem of the leakage inductance calculations in power transformers. Commonly, the leakage flux in the air zone is represented by short-circuit inductance, which determines the short-circuit voltage, which is a very important factor for power transformers. That inductance is a good representation of the typical power transformer windings, but it is insufficient for multi-winding ones. This paper presents simple formulae for self- and mutual leakage inductance calculations for an arbitrary pair of windings. It follows from a simple 1D approach to analyzing the stray field using a discrete differential operator, and it was verified by the finite element method (FEM) calculation results.https://www.mdpi.com/1996-1073/13/18/4952multi-winding transformers1D stray field analysisdiscrete differential operatorenergy-based approachself- and mutual leakage inductances |
spellingShingle | Tadeusz Sobczyk Marcin Jaraczewski On Simplified Calculations of Leakage Inductances of Power Transformers Energies multi-winding transformers 1D stray field analysis discrete differential operator energy-based approach self- and mutual leakage inductances |
title | On Simplified Calculations of Leakage Inductances of Power Transformers |
title_full | On Simplified Calculations of Leakage Inductances of Power Transformers |
title_fullStr | On Simplified Calculations of Leakage Inductances of Power Transformers |
title_full_unstemmed | On Simplified Calculations of Leakage Inductances of Power Transformers |
title_short | On Simplified Calculations of Leakage Inductances of Power Transformers |
title_sort | on simplified calculations of leakage inductances of power transformers |
topic | multi-winding transformers 1D stray field analysis discrete differential operator energy-based approach self- and mutual leakage inductances |
url | https://www.mdpi.com/1996-1073/13/18/4952 |
work_keys_str_mv | AT tadeuszsobczyk onsimplifiedcalculationsofleakageinductancesofpowertransformers AT marcinjaraczewski onsimplifiedcalculationsofleakageinductancesofpowertransformers |