A comparison of geometric algebra and harmonic domain for linear circuit analysis

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dc.contributor.authorSundriyal, Nitin
dc.contributor.authorRamirez, Juan Manuel
dc.contributor.authorCorrochano, Eduardo Bayro
dc.coverage.issue1cs
dc.coverage.volume12cs
dc.date.accessioned2023-06-26T09:02:09Z
dc.date.available2023-06-26T09:02:09Z
dc.date.issued2023cs
dc.description.abstractFor a long time, non-sinusoidal, non-linear electric circuit analysis has been a prevalent topic. The supplementary analysis tool and domain are subjects of debate in many scientific groups, leading to a range of norms and definitions. Since its beginnings, the electric power system has advanced thanks to the development of Power Electronic devices, converters, and Renewable Energy sources. Electronic equipment has transformed the electrical system and brought industrial applications a plethora of benefits. Unfortunately, this results in distortions in the power system (voltage and current). For this, it is necessary to comprehend power flow in nonsinusoidal linear and non-linear circuit situations. Therefore, it is always necessary to use a distinct mathematical framework to examine the circuit in such a setting. Finally, an agreement on norms that adhere to well-known, established standards can be obtained under non-sinusoidal circumstances. To show the precision of geometric algebra in power flow calculations, the work presented here combines the usage of the harmonic domain and geometric algebra in circuits with disturbances for sinusoidal and non-sinusoidal excitation.en
dc.formattextcs
dc.format.extent115-127cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2023 vol. 12, č. 1, s. 115-127. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2023.08en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/210637
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_sundriyal_et_al_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.subjectgeometric algebraen
dc.subjectharmonic domainen
dc.subjectlinear circuit analysisen
dc.subjectmultivectoren
dc.subjectpower flowen
dc.titleA comparison of geometric algebra and harmonic domain for linear circuit analysisen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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