Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit
As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractio...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2019-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8701625/ |
| _version_ | 1818416127120769024 |
|---|---|
| author | Guishu Liang Jiawei Hao |
| author_facet | Guishu Liang Jiawei Hao |
| author_sort | Guishu Liang |
| collection | DOAJ |
| description | As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method. |
| first_indexed | 2024-12-14T11:45:56Z |
| format | Article |
| id | doaj.art-fe723869ab8c4c65a9a3b50b26a45071 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T11:45:56Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-fe723869ab8c4c65a9a3b50b26a450712022-12-21T23:02:36ZengIEEEIEEE Access2169-35362019-01-017583075831310.1109/ACCESS.2019.29139118701625Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind CircuitGuishu Liang0Jiawei Hao1https://orcid.org/0000-0003-0964-0920Department of Electric Engineering, North China Electric Power University, Baoding, ChinaDepartment of Electric Engineering, North China Electric Power University, Baoding, ChinaAs an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method.https://ieeexplore.ieee.org/document/8701625/Fractional circuitspassive synthesisfractional-order impedanceimpedance scalingmultivariable synthesis |
| spellingShingle | Guishu Liang Jiawei Hao Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit IEEE Access Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis |
| title | Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit |
| title_full | Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit |
| title_fullStr | Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit |
| title_full_unstemmed | Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit |
| title_short | Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit |
| title_sort | passive synthesis of immittance for fractional order three element kind circuit |
| topic | Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis |
| url | https://ieeexplore.ieee.org/document/8701625/ |
| work_keys_str_mv | AT guishuliang passivesynthesisofimmittanceforfractionalorderthreeelementkindcircuit AT jiaweihao passivesynthesisofimmittanceforfractionalorderthreeelementkindcircuit |