Passivity Criterions of Networks With General Fractional Order Coupled Inductors
Fractional order coupled inductor (FCI) was proposed recently which can enrich existing circuit element system. In this paper, the passivity conditions of FCI are discussed. The study shows that different from the traditional passive coupled inductor, passive fractional order coupled inductor (PFCI)...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8686081/ |
| _version_ | 1830299318514352128 |
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| author | Guishu Liang Zheng Qi Long Ma Chang Liu |
| author_facet | Guishu Liang Zheng Qi Long Ma Chang Liu |
| author_sort | Guishu Liang |
| collection | DOAJ |
| description | Fractional order coupled inductor (FCI) was proposed recently which can enrich existing circuit element system. In this paper, the passivity conditions of FCI are discussed. The study shows that different from the traditional passive coupled inductor, passive fractional order coupled inductor (PFCI) can be non-reciprocal. Traditional integer order coupled inductors are special cases of FCI, and the passivity conditions between them have great differences. Based on passivity conditions of FCI, modified multivariate positive real definition is proposed and multivariate passivity of general FCIs also be proved. Finally, this paper proposes passivity criterions of networks with general FCIs in the complex frequency domain and multivariate domain, respectively. |
| first_indexed | 2024-12-19T08:07:04Z |
| format | Article |
| id | doaj.art-9f9ff42104974614be4fa34de493997d |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-19T08:07:04Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-9f9ff42104974614be4fa34de493997d2022-12-21T20:29:44ZengIEEEIEEE Access2169-35362019-01-017488804888910.1109/ACCESS.2019.29100848686081Passivity Criterions of Networks With General Fractional Order Coupled InductorsGuishu Liang0Zheng Qi1https://orcid.org/0000-0002-5622-5079Long Ma2Chang Liu3School of Electrical and Electronical Engineering, North China Electric Power University, Baoding, ChinaSchool of Electrical and Electronical Engineering, North China Electric Power University, Baoding, ChinaSchool of Electrical and Electronical Engineering, North China Electric Power University, Baoding, ChinaSchool of Electrical and Electronical Engineering, North China Electric Power University, Baoding, ChinaFractional order coupled inductor (FCI) was proposed recently which can enrich existing circuit element system. In this paper, the passivity conditions of FCI are discussed. The study shows that different from the traditional passive coupled inductor, passive fractional order coupled inductor (PFCI) can be non-reciprocal. Traditional integer order coupled inductors are special cases of FCI, and the passivity conditions between them have great differences. Based on passivity conditions of FCI, modified multivariate positive real definition is proposed and multivariate passivity of general FCIs also be proved. Finally, this paper proposes passivity criterions of networks with general FCIs in the complex frequency domain and multivariate domain, respectively.https://ieeexplore.ieee.org/document/8686081/Fractional orderpassive circuitcircuit theorycoupled inductor |
| spellingShingle | Guishu Liang Zheng Qi Long Ma Chang Liu Passivity Criterions of Networks With General Fractional Order Coupled Inductors IEEE Access Fractional order passive circuit circuit theory coupled inductor |
| title | Passivity Criterions of Networks With General Fractional Order Coupled Inductors |
| title_full | Passivity Criterions of Networks With General Fractional Order Coupled Inductors |
| title_fullStr | Passivity Criterions of Networks With General Fractional Order Coupled Inductors |
| title_full_unstemmed | Passivity Criterions of Networks With General Fractional Order Coupled Inductors |
| title_short | Passivity Criterions of Networks With General Fractional Order Coupled Inductors |
| title_sort | passivity criterions of networks with general fractional order coupled inductors |
| topic | Fractional order passive circuit circuit theory coupled inductor |
| url | https://ieeexplore.ieee.org/document/8686081/ |
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