View in EDS HTML Full Text PDF Full Text

Clarke Transformation Solution of Asymmetrical Transients in Three-Phase Circuits.

Saved in:
Bibliographic Details
Title: Clarke Transformation Solution of Asymmetrical Transients in Three-Phase Circuits.
Authors: Bellan, Diego1 (AUTHOR) diego.bellan@polimi.it
Source: Energies (19961073). Oct2020, Vol. 13 Issue 19, p5231. 1p.
Subject Terms: *Vector spaces, *Bivectors, *Transient analysis, *Space trajectories, *Time-domain analysis, *Electric transformers
Geographic Terms: Natick (Mass.)
Company/Entity: MathWorks Inc. 131142747
Abstract: This work deals with the use of the Clarke transformation for the theoretical derivation of circuit models for the analysis of asymmetrical transients in three-phase circuits. Asymmetrical transients occur when only one or two phases of a three-phase power system are involved in a switch operation. Such a condition is critical from a theoretical viewpoint since the Clarke transformation is based on the assumption of circuit symmetry between the three phases. If the symmetry assumption is not met, the equivalent circuits in the transformed variables α, β, and 0 are not uncoupled. The literature concerning numerical approaches for asymmetrical transient analysis is very rich, but a comprehensive and rigorous analytical investigation of circuit models within the framework of the Clarke transformation is still lacking. Contrary to numerical approaches, analytical solutions provide deeper insight into the phenomenon and allow for theoretical interpretation and better understanding of the transient behavior. The proposed circuit models show that the β variables are always uncoupled with α and 0 variables, whereas coupling between α and 0 variables can be properly represented by an ideal transformer. Moreover, in the case of single-line switching, the β variables have no transient, i.e., they keep the steady-state behavior. Transient properties can be readily and effectively observed by representing the trajectory of the space vector on the complex plane. All the analytical results have been checked numerically through the Simulink (Matlab R2020a, The MathWorks, Inc., Natick, MA, USA) implementation of a specific three-phase circuit introduced to illustrate the main theoretical issues. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: enr
DbLabel: Energy & Power Source
An: 146415780
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Clarke Transformation Solution of Asymmetrical Transients in Three-Phase Circuits.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bellan%2C+Diego%22">Bellan, Diego</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> diego.bellan@polimi.it</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Oct2020, Vol. 13 Issue 19, p5231. 1p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Vector+spaces%22">Vector spaces</searchLink><br />*<searchLink fieldCode="DE" term="%22Bivectors%22">Bivectors</searchLink><br />*<searchLink fieldCode="DE" term="%22Transient+analysis%22">Transient analysis</searchLink><br />*<searchLink fieldCode="DE" term="%22Space+trajectories%22">Space trajectories</searchLink><br />*<searchLink fieldCode="DE" term="%22Time-domain+analysis%22">Time-domain analysis</searchLink><br />*<searchLink fieldCode="DE" term="%22Electric+transformers%22">Electric transformers</searchLink>
– Name: SubjectGeographic
  Label: Geographic Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Natick+%28Mass%2E%29%22">Natick (Mass.)</searchLink>
– Name: SubjectCompany
  Label: Company/Entity
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22MathWorks+Inc%2E%22">MathWorks Inc.</searchLink> <searchLink fieldCode="DN" term="%22131142747%22">131142747</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This work deals with the use of the Clarke transformation for the theoretical derivation of circuit models for the analysis of asymmetrical transients in three-phase circuits. Asymmetrical transients occur when only one or two phases of a three-phase power system are involved in a switch operation. Such a condition is critical from a theoretical viewpoint since the Clarke transformation is based on the assumption of circuit symmetry between the three phases. If the symmetry assumption is not met, the equivalent circuits in the transformed variables α, β, and 0 are not uncoupled. The literature concerning numerical approaches for asymmetrical transient analysis is very rich, but a comprehensive and rigorous analytical investigation of circuit models within the framework of the Clarke transformation is still lacking. Contrary to numerical approaches, analytical solutions provide deeper insight into the phenomenon and allow for theoretical interpretation and better understanding of the transient behavior. The proposed circuit models show that the β variables are always uncoupled with α and 0 variables, whereas coupling between α and 0 variables can be properly represented by an ideal transformer. Moreover, in the case of single-line switching, the β variables have no transient, i.e., they keep the steady-state behavior. Transient properties can be readily and effectively observed by representing the trajectory of the space vector on the complex plane. All the analytical results have been checked numerically through the Simulink (Matlab R2020a, The MathWorks, Inc., Natick, MA, USA) implementation of a specific three-phase circuit introduced to illustrate the main theoretical issues. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=enr&AN=146415780
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.3390/en13195231
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: 5231
    Subjects:
      – SubjectFull: Vector spaces
        Type: general
      – SubjectFull: Bivectors
        Type: general
      – SubjectFull: Transient analysis
        Type: general
      – SubjectFull: Space trajectories
        Type: general
      – SubjectFull: Time-domain analysis
        Type: general
      – SubjectFull: Electric transformers
        Type: general
      – SubjectFull: Natick (Mass.)
        Type: general
      – SubjectFull: MathWorks Inc.
        Type: general
    Titles:
      – TitleFull: Clarke Transformation Solution of Asymmetrical Transients in Three-Phase Circuits.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bellan, Diego
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 10
              Text: Oct2020
              Type: published
              Y: 2020
          Identifiers:
            – Type: issn-print
              Value: 19961073
          Numbering:
            – Type: volume
              Value: 13
            – Type: issue
              Value: 19
          Titles:
            – TitleFull: Energies (19961073)
              Type: main
ResultId 1