Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar

For the case of transformer with a number of windings four or more, the number of pair short-circuit impedances are morethan the number of beams of the corresponding star, which makes it impossible to obtain a sufficiently correct equivalent scheme in the form of a multi-beam star without electromag...

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Main Authors: Suslov V.M., Bosneaga V.A.
Format: Article
Language:English
Published: Academy of Sciences of Moldova 2018-08-01
Series:Problems of the Regional Energetics
Subjects:
Online Access:http://journal.ie.asm.md/assets/files/02_02_37_2018.pdf
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author Suslov V.M.
Bosneaga V.A.
author_facet Suslov V.M.
Bosneaga V.A.
author_sort Suslov V.M.
collection DOAJ
description For the case of transformer with a number of windings four or more, the number of pair short-circuit impedances are morethan the number of beams of the corresponding star, which makes it impossible to obtain a sufficiently correct equivalent scheme in the form of a multi-beam star without electromagnetic coupling between the elements of the beams. The scope of this paperis the elaboration of the technique for determining the elements of the equivalent circuit for the replacement of a multi-winding transformer in the form of multi-beam star with mutual electromagnetic coupling between the elements of the beams, with one magnetization branch. The scope of the article is achieved by application of the formula that connects the pair short-circuit impedance of the two windings with their total own and mutual impedance. Using the matrix pseudo-inversion procedure, a technique was developed for finding the own and mutual impedances, constituting the star's beams. The new results consist in the fact that this equivalent scheme is universal and did not depend on the specific mutual arrangement of the windings. Besides, it is possible to determine the parameters of the proposed multi-beam equivalent circuit in exact accordance with the values of the pair short-circuits impedances of the transformer and is a logical continuation of the conventional equivalent scheme of three-winding transformer. In addition, the proposed algorithm ensures the positive values of the own inductive resistances of the beams (windings).
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spelling doaj.art-2a899c56f564467e88dcfa93a4e8b4712022-12-21T17:13:03ZengAcademy of Sciences of MoldovaProblems of the Regional Energetics1857-00702018-08-01372131910.5281/zenodo.1343402Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStarSuslov V.M.0Bosneaga V.A.1Institute of Power Engineering Kishinau, Republic of MoldovaInstitute of Power Engineering Kishinau, Republic of MoldovaFor the case of transformer with a number of windings four or more, the number of pair short-circuit impedances are morethan the number of beams of the corresponding star, which makes it impossible to obtain a sufficiently correct equivalent scheme in the form of a multi-beam star without electromagnetic coupling between the elements of the beams. The scope of this paperis the elaboration of the technique for determining the elements of the equivalent circuit for the replacement of a multi-winding transformer in the form of multi-beam star with mutual electromagnetic coupling between the elements of the beams, with one magnetization branch. The scope of the article is achieved by application of the formula that connects the pair short-circuit impedance of the two windings with their total own and mutual impedance. Using the matrix pseudo-inversion procedure, a technique was developed for finding the own and mutual impedances, constituting the star's beams. The new results consist in the fact that this equivalent scheme is universal and did not depend on the specific mutual arrangement of the windings. Besides, it is possible to determine the parameters of the proposed multi-beam equivalent circuit in exact accordance with the values of the pair short-circuits impedances of the transformer and is a logical continuation of the conventional equivalent scheme of three-winding transformer. In addition, the proposed algorithm ensures the positive values of the own inductive resistances of the beams (windings).http://journal.ie.asm.md/assets/files/02_02_37_2018.pdfequivalent schemeamulti-beam star
spellingShingle Suslov V.M.
Bosneaga V.A.
Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar
Problems of the Regional Energetics
equivalent scheme
a
multi-beam star
title Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar
title_full Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar
title_fullStr Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar
title_full_unstemmed Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar
title_short Method of ParametersDeterminationfor Multi-WindingTransformer Equivalent Circuitin the Form of Multi-BeamStar
title_sort method of parametersdeterminationfor multi windingtransformer equivalent circuitin the form of multi beamstar
topic equivalent scheme
a
multi-beam star
url http://journal.ie.asm.md/assets/files/02_02_37_2018.pdf
work_keys_str_mv AT suslovvm methodofparametersdeterminationformultiwindingtransformerequivalentcircuitintheformofmultibeamstar
AT bosneagava methodofparametersdeterminationformultiwindingtransformerequivalentcircuitintheformofmultibeamstar