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Analysis of a rectangular prism n-units RLC fractional-order circuit network
| dc.contributor.author | Chen, Liping | |
| dc.contributor.author | Wu, Xiaobo | |
| dc.contributor.author | Xu, Linpeng | |
| dc.contributor.author | Lopes, António M. | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.contributor.author | Wu, Ranchao | |
| dc.contributor.author | Ge, Suoliang | |
| dc.date.accessioned | 2021-10-13T13:08:25Z | |
| dc.date.available | 2021-10-13T13:08:25Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | It was demonstrated recently that ideal capacitors can not exist physically and that the behavior of real-world inductors and capacitors is characterized by fractional-order (FO) models. Therefore, the modeling and analysis of FO electrical circuit networks (FO-ECN) has gained considerable interest. This paper introduces the basic principles of a class of rectangular prism n-units () RLC FO-ECN, including the mathematical modeling and the analysis of the impedance magnitude and phase. Three general formulas of the equivalent impedance between two nodes of the FO-ECN are obtained by the matrix transform method. The relationship between the impedance and the FO-ECN parameters, including the capacitance, inductance, number of circuit units and FO are investigated. Numerical simulations reveal dynamical phenomena not exhibited by ordinary ECN. | pt_PT |
| dc.description.sponsorship | This work was supported by the National Natural Science Funds of China (No. 11971032). | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.aej.2020.06.042 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/18704 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1110016820303173?via%3Dihub | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.subject | Fractional-order circuit networks | pt_PT |
| dc.subject | Impedance characteristics | pt_PT |
| dc.subject | Phase characteristics | pt_PT |
| dc.title | Analysis of a rectangular prism n-units RLC fractional-order circuit network | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 3104 | pt_PT |
| oaire.citation.issue | 5 | pt_PT |
| oaire.citation.startPage | 3091 | pt_PT |
| oaire.citation.title | Alexandria Engineering Journal | pt_PT |
| oaire.citation.volume | 59 | pt_PT |
| person.familyName | Tenreiro Machado | |
| person.givenName | J. A. | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 55989030100 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f |
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