Leakage Inductances of Transformers at Arbitrarily Located Windings

The article presents the calculation of the leakage inductance in power transformers. As a rule, the leakage flux in the transformer window is represented by the short-circuit inductance, which affects the short-circuit voltage, and this is a very important factor for power transformers. This induct...

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Main Authors: Marcin Jaraczewski, Tadeusz Sobczyk
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/23/6464
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author Marcin Jaraczewski
Tadeusz Sobczyk
author_facet Marcin Jaraczewski
Tadeusz Sobczyk
author_sort Marcin Jaraczewski
collection DOAJ
description The article presents the calculation of the leakage inductance in power transformers. As a rule, the leakage flux in the transformer window is represented by the short-circuit inductance, which affects the short-circuit voltage, and this is a very important factor for power transformers. This inductance reflects the typical windings of power transformers well, but is insufficient for special transformers or in any case of the internal asymmetry of windings. This paper presents a methodology for calculations of the self- and mutual-leakage inductances for windings arbitrarily located in the air window. It is based on the 2D approach for analyzing the stray field in the air zone only, using discrete partial differential operators. That methodology is verified with the finite element method tested on real transformer data.
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spelling doaj.art-3060704de1ea428183f90ae94a279ae42023-11-20T23:45:49ZengMDPI AGEnergies1996-10732020-12-011323646410.3390/en13236464Leakage Inductances of Transformers at Arbitrarily Located WindingsMarcin Jaraczewski0Tadeusz Sobczyk1Faculty of Electrical and Computer Engineering, Cracow University of Technology, 24 Warszawska Street, PL 31-155 Cracow, PolandFaculty of Electrical and Computer Engineering, Cracow University of Technology, 24 Warszawska Street, PL 31-155 Cracow, PolandThe article presents the calculation of the leakage inductance in power transformers. As a rule, the leakage flux in the transformer window is represented by the short-circuit inductance, which affects the short-circuit voltage, and this is a very important factor for power transformers. This inductance reflects the typical windings of power transformers well, but is insufficient for special transformers or in any case of the internal asymmetry of windings. This paper presents a methodology for calculations of the self- and mutual-leakage inductances for windings arbitrarily located in the air window. It is based on the 2D approach for analyzing the stray field in the air zone only, using discrete partial differential operators. That methodology is verified with the finite element method tested on real transformer data.https://www.mdpi.com/1996-1073/13/23/6464power transformerswinding asymmetry2D stray field analysis2D discrete partial differential operatorsenergy-based approachleakage inductances
spellingShingle Marcin Jaraczewski
Tadeusz Sobczyk
Leakage Inductances of Transformers at Arbitrarily Located Windings
Energies
power transformers
winding asymmetry
2D stray field analysis
2D discrete partial differential operators
energy-based approach
leakage inductances
title Leakage Inductances of Transformers at Arbitrarily Located Windings
title_full Leakage Inductances of Transformers at Arbitrarily Located Windings
title_fullStr Leakage Inductances of Transformers at Arbitrarily Located Windings
title_full_unstemmed Leakage Inductances of Transformers at Arbitrarily Located Windings
title_short Leakage Inductances of Transformers at Arbitrarily Located Windings
title_sort leakage inductances of transformers at arbitrarily located windings
topic power transformers
winding asymmetry
2D stray field analysis
2D discrete partial differential operators
energy-based approach
leakage inductances
url https://www.mdpi.com/1996-1073/13/23/6464
work_keys_str_mv AT marcinjaraczewski leakageinductancesoftransformersatarbitrarilylocatedwindings
AT tadeuszsobczyk leakageinductancesoftransformersatarbitrarilylocatedwindings