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dc.contributor.authorGil Montoya, Francisco 
dc.contributor.authorBaños Navarro, Raúl 
dc.contributor.authorAlcayde García, Alfredo 
dc.contributor.authorArrabal Campos, Francisco Manuel 
dc.contributor.authorRoldán Pérez, Javier
dc.date.accessioned2021-07-21T08:33:04Z
dc.date.available2021-07-21T08:33:04Z
dc.date.issued2021-05-31
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10835/11994
dc.description.abstractThis paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra power theory (GAPoT) to multiple-phase systems. A definition of geometric apparent power for three-phase systems, that complies with the energy conservation principle, is also introduced. Power calculations are performed in a multi-dimensional Euclidean space where cross effects between voltage and current harmonics are taken into consideration. By using the proposed framework, the current can be easily geometrically decomposed into active- and non-active components for current compensation purposes. The paper includes detailed examples in which electrical circuits are solved and the results are analysed. This work is a first step towards a more advanced polyphase proposal that can be applied to systems under real operation conditions, where unbalance and asymmetry is considered.es_ES
dc.language.isoenes_ES
dc.publisherMDPIes_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectgeometric algebraes_ES
dc.subjectnon-sinusoidal poweres_ES
dc.subjectclifford algebraes_ES
dc.subjectpower theoryes_ES
dc.titleGeometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supplyes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherversionhttps://www.mdpi.com/2227-7390/9/11/1259es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doihttps://doi.org/10.3390/math9111259


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional