Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire Systems

Three-phase four-wire systems require a reference frame similar to that used in 3-phase 3-wire system configurations that allow them to be easily analysed, modelled and controlled. A new reference frame called Reduced Reference Frame (RRF) was presented by the authors in a previous work to satisfy t...

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Main Authors: Francisco Casado-Machado, Jose L. Martinez-Ramos, Manuel Barragan-Villarejo, Jose Maria Maza-Ortega
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10063865/
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author Francisco Casado-Machado
Jose L. Martinez-Ramos
Manuel Barragan-Villarejo
Jose Maria Maza-Ortega
author_facet Francisco Casado-Machado
Jose L. Martinez-Ramos
Manuel Barragan-Villarejo
Jose Maria Maza-Ortega
author_sort Francisco Casado-Machado
collection DOAJ
description Three-phase four-wire systems require a reference frame similar to that used in 3-phase 3-wire system configurations that allow them to be easily analysed, modelled and controlled. A new reference frame called Reduced Reference Frame (RRF) was presented by the authors in a previous work to satisfy these objectives. This is based on the locus of the voltage space vector which is used to perform a transformation applied to 3-phase 4-wire systems. This paper uses the proposed RRF to demonstrate the benefits of this transformation under different conditions of load or voltage imbalance. To this end, the different types of imbalances considered are studied by comparing the results in the classical <inline-formula> <tex-math notation="LaTeX">$\alpha \beta \gamma $ </tex-math></inline-formula> axes, the so-called <inline-formula> <tex-math notation="LaTeX">$mno$ </tex-math></inline-formula>-transform specifically developed for 3-phase 4-wire systems and the RRF coordinates. In addition, a theoretical identification of some types of imbalances is done comparing the simulation results and the fundamentals of the RRF.
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spelling doaj.art-aa2f3f2bc4d2421dab6745811b7741aa2023-03-16T23:00:36ZengIEEEIEEE Access2169-35362023-01-0111245912460310.1109/ACCESS.2023.325429910063865Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire SystemsFrancisco Casado-Machado0https://orcid.org/0000-0001-6278-8508Jose L. Martinez-Ramos1https://orcid.org/0000-0002-3946-9848Manuel Barragan-Villarejo2https://orcid.org/0000-0003-0017-9162Jose Maria Maza-Ortega3https://orcid.org/0000-0002-8016-8406Department of Electrical Engineering, University of Seville, Seville, SpainDepartment of Electrical Engineering, University of Seville, Seville, SpainDepartment of Electrical Engineering, University of Seville, Seville, SpainDepartment of Electrical Engineering, University of Seville, Seville, SpainThree-phase four-wire systems require a reference frame similar to that used in 3-phase 3-wire system configurations that allow them to be easily analysed, modelled and controlled. A new reference frame called Reduced Reference Frame (RRF) was presented by the authors in a previous work to satisfy these objectives. This is based on the locus of the voltage space vector which is used to perform a transformation applied to 3-phase 4-wire systems. This paper uses the proposed RRF to demonstrate the benefits of this transformation under different conditions of load or voltage imbalance. To this end, the different types of imbalances considered are studied by comparing the results in the classical <inline-formula> <tex-math notation="LaTeX">$\alpha \beta \gamma $ </tex-math></inline-formula> axes, the so-called <inline-formula> <tex-math notation="LaTeX">$mno$ </tex-math></inline-formula>-transform specifically developed for 3-phase 4-wire systems and the RRF coordinates. In addition, a theoretical identification of some types of imbalances is done comparing the simulation results and the fundamentals of the RRF.https://ieeexplore.ieee.org/document/10063865/Coordinate transformationreference framethree-phase four-wire systemunbalanced power system
spellingShingle Francisco Casado-Machado
Jose L. Martinez-Ramos
Manuel Barragan-Villarejo
Jose Maria Maza-Ortega
Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire Systems
IEEE Access
Coordinate transformation
reference frame
three-phase four-wire system
unbalanced power system
title Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire Systems
title_full Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire Systems
title_fullStr Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire Systems
title_full_unstemmed Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire Systems
title_short Reduced Reference Frame Transformation Assessment in Unbalanced Three-Phase Four-Wire Systems
title_sort reduced reference frame transformation assessment in unbalanced three phase four wire systems
topic Coordinate transformation
reference frame
three-phase four-wire system
unbalanced power system
url https://ieeexplore.ieee.org/document/10063865/
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AT manuelbarraganvillarejo reducedreferenceframetransformationassessmentinunbalancedthreephasefourwiresystems
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