The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supply

The proper description of circuits supplied from an asymmetrical and sinusoidal voltage source, in which line parameters are included, requires an adequate mathematical concept or theory. The authors of the publication present the mathematical concept of the currents’ asymmetrical components for thr...

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Main Authors: Z. Sołjan, G. Hołdyński, M. Zajkowski
Format: Article
Language:English
Published: Polish Academy of Sciences 2019-04-01
Series:Bulletin of the Polish Academy of Sciences: Technical Sciences
Subjects:
Online Access:https://journals.pan.pl/Content/112200/PDF/13_271-278_00926_Bpast.No.67-2_06.02.20.pdf
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author Z. Sołjan
G. Hołdyński
M. Zajkowski
author_facet Z. Sołjan
G. Hołdyński
M. Zajkowski
author_sort Z. Sołjan
collection DOAJ
description The proper description of circuits supplied from an asymmetrical and sinusoidal voltage source, in which line parameters are included, requires an adequate mathematical concept or theory. The authors of the publication present the mathematical concept of the currents’ asymmetrical components for three-phase four-wire systems, taking into account the impedance of the neutral conductor and the impedance of power transmission lines. In the new approach, four orthogonal current components were proposed in charge of its flow between the source and the load. The introduced distribution shows, regardless of the type of the voltage asymmetry (amplitude or phase), it is possible to set down the symmetrical active current and other components, i.e. reactive current, negative current and zero current, which will allow determining the reference current of the active filter.
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spelling doaj.art-6b1b6a28cc5d4135bde92fa30e10b5ef2022-12-22T04:00:32ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172019-04-0167No. 2271278https://doi.org/10.24425/bpas.2019.128610The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supplyZ. SołjanG. HołdyńskiM. ZajkowskiThe proper description of circuits supplied from an asymmetrical and sinusoidal voltage source, in which line parameters are included, requires an adequate mathematical concept or theory. The authors of the publication present the mathematical concept of the currents’ asymmetrical components for three-phase four-wire systems, taking into account the impedance of the neutral conductor and the impedance of power transmission lines. In the new approach, four orthogonal current components were proposed in charge of its flow between the source and the load. The introduced distribution shows, regardless of the type of the voltage asymmetry (amplitude or phase), it is possible to set down the symmetrical active current and other components, i.e. reactive current, negative current and zero current, which will allow determining the reference current of the active filter.https://journals.pan.pl/Content/112200/PDF/13_271-278_00926_Bpast.No.67-2_06.02.20.pdfcurrents’ asymmetrical components (cac)mathematical conceptasymmetric supply
spellingShingle Z. Sołjan
G. Hołdyński
M. Zajkowski
The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supply
Bulletin of the Polish Academy of Sciences: Technical Sciences
currents’ asymmetrical components (cac)
mathematical concept
asymmetric supply
title The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supply
title_full The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supply
title_fullStr The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supply
title_full_unstemmed The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supply
title_short The mathematical concept of the currents’ asymmetrical components in three-phase four-wire systems with sinusoidal and asymmetric voltage supply
title_sort mathematical concept of the currents asymmetrical components in three phase four wire systems with sinusoidal and asymmetric voltage supply
topic currents’ asymmetrical components (cac)
mathematical concept
asymmetric supply
url https://journals.pan.pl/Content/112200/PDF/13_271-278_00926_Bpast.No.67-2_06.02.20.pdf
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