Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110

Load losses determine transformers’ efficiency and life, which are limited by overheating and deterioration of their elements. Since these losses can be characterized by short-circuit resistances, in this article, we have developed expressions for the short-circuit resistances of three-phase transfo...

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Main Authors: Vicente León-Martínez, Elisa Peñalvo-López, Clara Andrada-Monrós, Juan Ángel Sáiz-Jiménez
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Inventions
Subjects:
Online Access:https://www.mdpi.com/2411-5134/8/6/154
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author Vicente León-Martínez
Elisa Peñalvo-López
Clara Andrada-Monrós
Juan Ángel Sáiz-Jiménez
author_facet Vicente León-Martínez
Elisa Peñalvo-López
Clara Andrada-Monrós
Juan Ángel Sáiz-Jiménez
author_sort Vicente León-Martínez
collection DOAJ
description Load losses determine transformers’ efficiency and life, which are limited by overheating and deterioration of their elements. Since these losses can be characterized by short-circuit resistances, in this article, we have developed expressions for the short-circuit resistances of three-phase transformers according to IEEE Standard C57.110. Imposing the condition that these resistances must cause load losses of the transformer, two types of short-circuit resistance have been established: (1) the effective resistance of each phase (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>z</mi></mrow></msub></mrow></semantics></math></inline-formula>) and (2) the effective short-circuit resistance of the transformer (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>e</mi><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula>). The first is closely related to the power loss distribution within the transformer. The second is just a mathematical parameter. Applying these resistances to the 630 kVA oil-immersed distribution transformer of a residential network, we have concluded that both types of resistances determine the total load losses of the transformer. However, only <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>z</mi></mrow></msub></mrow></semantics></math></inline-formula> accurately provides the load losses in each phase. <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>e</mi><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula> can give rise to errors more significant than 16% in calculating these losses, depending on imbalances in the harmonic currents.
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spelling doaj.art-720dcd81fe6b437db7f32ef89f89d3782023-12-22T14:16:33ZengMDPI AGInventions2411-51342023-12-018615410.3390/inventions8060154Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110Vicente León-Martínez0Elisa Peñalvo-López1Clara Andrada-Monrós2Juan Ángel Sáiz-Jiménez3Electrical Engineering Department, Universitat Politècnica de València, Camino de Vera, 14, 46022 València, SpainElectrical Engineering Department, Universitat Politècnica de València, Camino de Vera, 14, 46022 València, SpainElectrical Engineering Department, Universitat Politècnica de València, Camino de Vera, 14, 46022 València, SpainElectrical Engineering Department, Universitat Politècnica de València, Camino de Vera, 14, 46022 València, SpainLoad losses determine transformers’ efficiency and life, which are limited by overheating and deterioration of their elements. Since these losses can be characterized by short-circuit resistances, in this article, we have developed expressions for the short-circuit resistances of three-phase transformers according to IEEE Standard C57.110. Imposing the condition that these resistances must cause load losses of the transformer, two types of short-circuit resistance have been established: (1) the effective resistance of each phase (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>z</mi></mrow></msub></mrow></semantics></math></inline-formula>) and (2) the effective short-circuit resistance of the transformer (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>e</mi><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula>). The first is closely related to the power loss distribution within the transformer. The second is just a mathematical parameter. Applying these resistances to the 630 kVA oil-immersed distribution transformer of a residential network, we have concluded that both types of resistances determine the total load losses of the transformer. However, only <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>z</mi></mrow></msub></mrow></semantics></math></inline-formula> accurately provides the load losses in each phase. <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>c</mi><mi>c</mi><mo>,</mo><mi>e</mi><mi>f</mi></mrow></msub></mrow></semantics></math></inline-formula> can give rise to errors more significant than 16% in calculating these losses, depending on imbalances in the harmonic currents.https://www.mdpi.com/2411-5134/8/6/154distribution transformersshort-circuit resistancesload lossesharmonicsefficiency
spellingShingle Vicente León-Martínez
Elisa Peñalvo-López
Clara Andrada-Monrós
Juan Ángel Sáiz-Jiménez
Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110
Inventions
distribution transformers
short-circuit resistances
load losses
harmonics
efficiency
title Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110
title_full Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110
title_fullStr Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110
title_full_unstemmed Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110
title_short Load Losses and Short-Circuit Resistances of Distribution Transformers According to IEEE Standard C57.110
title_sort load losses and short circuit resistances of distribution transformers according to ieee standard c57 110
topic distribution transformers
short-circuit resistances
load losses
harmonics
efficiency
url https://www.mdpi.com/2411-5134/8/6/154
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AT elisapenalvolopez loadlossesandshortcircuitresistancesofdistributiontransformersaccordingtoieeestandardc57110
AT claraandradamonros loadlossesandshortcircuitresistancesofdistributiontransformersaccordingtoieeestandardc57110
AT juanangelsaizjimenez loadlossesandshortcircuitresistancesofdistributiontransformersaccordingtoieeestandardc57110