| Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection |
| |
| 作者姓名： | 徐翔 司刚全 郭璋 Babajide Oluwatosin Oresanya |
| |
| 作者单位： | State Key Laboratory of Electrical Insulation and Power Equipment, Shaanxi Key Laboratory of Smart Grid, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
| |
| 基金项目： | the National Natural Science Foundation of China(Grant No.52077160). |
| |
| 摘 要： | Recently,the memory elements-based circuits have been addressed frequently in the nonlinear circuit theory due to their unique behaviors.Thus,the modeling and characterizing of the mem-elements become essential.In this paper,the analysis of the multiple fractional-order voltage-controlled memcapacitors model in parallel connection is studied.Firstly,two fractional-order memcapacitors are connected in parallel,the equivalent model is derived,and the characteristic of the equivalent memcapacitor is analyzed in positive or negative connection.Then a new understanding manner according to different rate factor K and fractional orderαis derived to explain the equivalent modeling structure conveniently.Additionally,the negative order appears,which is a consequence of the combination of memcapacitors in different directions.Meanwhile,the equivalent parallel memcapacitance has been drawn to determine that multiple fractional-order memcapacitors could be calculated as one composite memcapacitor.Thus,an arbitrary fractional-order equivalent memcapacitor could be constructed by multiple fractional-order memcapacitors.
|
| 关 键 词： | memcapacitor fractional calculus parallel connection equivalent model |
| 收稿时间： | 2021-03-05 |
Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection |
| |
| Affiliation: | State Key Laboratory of Electrical Insulation and Power Equipment, Shaanxi Key Laboratory of Smart Grid, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
| |
| Abstract: | Recently, the memory elements-based circuits have been addressed frequently in the nonlinear circuit theory due to their unique behaviors. Thus, the modeling and characterizing of the mem-elements become essential. In this paper, the analysis of the multiple fractional-order voltage-controlled memcapacitors model in parallel connection is studied. Firstly, two fractional-order memcapacitors are connected in parallel, the equivalent model is derived, and the characteristic of the equivalent memcapacitor is analyzed in positive or negative connection. Then a new understanding manner according to different rate factor K and fractional order α is derived to explain the equivalent modeling structure conveniently. Additionally, the negative order appears, which is a consequence of the combination of memcapacitors in different directions. Meanwhile, the equivalent parallel memcapacitance has been drawn to determine that multiple fractional-order memcapacitors could be calculated as one composite memcapacitor. Thus, an arbitrary fractional-order equivalent memcapacitor could be constructed by multiple fractional-order memcapacitors. |
| |
| Keywords: | memcapacitor fractional calculus parallel connection equivalent model |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|
