Further Improvements in Topological Transformer Model Covering Core Saturation

This paper is devoted to improvements of the low-frequency topological model of a three-legged stacked-core transformer. It is shown that <inline-formula> <tex-math notation="LaTeX">$B-H$ </tex-math></inline-formula> hysteresis loops employed in the transformer mode...

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Main Authors: Sergey E. Zirka, Dennis Albert, Yuriy I. Moroz, Herwig Renner
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9796522/
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author Sergey E. Zirka
Dennis Albert
Yuriy I. Moroz
Herwig Renner
author_facet Sergey E. Zirka
Dennis Albert
Yuriy I. Moroz
Herwig Renner
author_sort Sergey E. Zirka
collection DOAJ
description This paper is devoted to improvements of the low-frequency topological model of a three-legged stacked-core transformer. It is shown that <inline-formula> <tex-math notation="LaTeX">$B-H$ </tex-math></inline-formula> hysteresis loops employed in the transformer model and <inline-formula> <tex-math notation="LaTeX">$\Psi -i$ </tex-math></inline-formula> curves measured at transformer terminals are quite different in shape. A distinction is made between transformer modeling at moderate and deep saturations, separated conditionally by the level of technical saturation (near 2 Tesla) typical for grain-oriented steels. In the former case, in addition to the magnetic coupling of different phase windings through the core, an important part is played by air gaps at core joints. It is found that the effective gap length depends on the instantaneous magnetic flux and this dependence is proposed to implement by a variable inductance. It is shown that regardless of the core saturation depth, an important role in the transformer modeling belongs to the distribution of the zero-sequence path between all three phases. In addition to accurate replications of the special purpose saturation test, the modeled results are in a close agreement with positive- and zero sequence data measured on a 50 kVA transformer, as well as with the measured inrush currents.
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spelling doaj.art-8e1951cfeaa94f3983cbeb761c9c8cea2022-12-22T00:23:31ZengIEEEIEEE Access2169-35362022-01-0110640186402710.1109/ACCESS.2022.31832799796522Further Improvements in Topological Transformer Model Covering Core SaturationSergey E. Zirka0https://orcid.org/0000-0001-7607-1436Dennis Albert1https://orcid.org/0000-0001-8916-851XYuriy I. Moroz2https://orcid.org/0000-0001-7696-1324Herwig Renner3https://orcid.org/0000-0002-5471-9198Department of Physics and Technology, Dnipro National University, Dnipro, UkraineInstitute of Electrical Power System, Graz University of Technology, Graz, AustriaDepartment of Physics and Technology, Dnipro National University, Dnipro, UkraineInstitute of Electrical Power System, Graz University of Technology, Graz, AustriaThis paper is devoted to improvements of the low-frequency topological model of a three-legged stacked-core transformer. It is shown that <inline-formula> <tex-math notation="LaTeX">$B-H$ </tex-math></inline-formula> hysteresis loops employed in the transformer model and <inline-formula> <tex-math notation="LaTeX">$\Psi -i$ </tex-math></inline-formula> curves measured at transformer terminals are quite different in shape. A distinction is made between transformer modeling at moderate and deep saturations, separated conditionally by the level of technical saturation (near 2 Tesla) typical for grain-oriented steels. In the former case, in addition to the magnetic coupling of different phase windings through the core, an important part is played by air gaps at core joints. It is found that the effective gap length depends on the instantaneous magnetic flux and this dependence is proposed to implement by a variable inductance. It is shown that regardless of the core saturation depth, an important role in the transformer modeling belongs to the distribution of the zero-sequence path between all three phases. In addition to accurate replications of the special purpose saturation test, the modeled results are in a close agreement with positive- and zero sequence data measured on a 50 kVA transformer, as well as with the measured inrush currents.https://ieeexplore.ieee.org/document/9796522/Saturationthree-legged transformertopological modeltransientscore gap
spellingShingle Sergey E. Zirka
Dennis Albert
Yuriy I. Moroz
Herwig Renner
Further Improvements in Topological Transformer Model Covering Core Saturation
IEEE Access
Saturation
three-legged transformer
topological model
transients
core gap
title Further Improvements in Topological Transformer Model Covering Core Saturation
title_full Further Improvements in Topological Transformer Model Covering Core Saturation
title_fullStr Further Improvements in Topological Transformer Model Covering Core Saturation
title_full_unstemmed Further Improvements in Topological Transformer Model Covering Core Saturation
title_short Further Improvements in Topological Transformer Model Covering Core Saturation
title_sort further improvements in topological transformer model covering core saturation
topic Saturation
three-legged transformer
topological model
transients
core gap
url https://ieeexplore.ieee.org/document/9796522/
work_keys_str_mv AT sergeyezirka furtherimprovementsintopologicaltransformermodelcoveringcoresaturation
AT dennisalbert furtherimprovementsintopologicaltransformermodelcoveringcoresaturation
AT yuriyimoroz furtherimprovementsintopologicaltransformermodelcoveringcoresaturation
AT herwigrenner furtherimprovementsintopologicaltransformermodelcoveringcoresaturation