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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Main Authors: Tadeusz Sobczyk, Marcin Jaraczewski
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Energies
Subjects:
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.
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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