Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection

doi:10.1088/1674-1056/ac05b1

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 18401-018401.doi: 10.1088/1674-1056/ac05b1

Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection

Xiang Xu(徐翔), Gangquan Si(司刚全)^†, Zhang Guo(郭璋), and Babajide Oluwatosin Oresanya

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

收稿日期:2021-03-05 修回日期:2021-05-15 接受日期:2021-05-27 出版日期:2021-12-03 发布日期:2021-12-28
通讯作者: Gangquan Si E-mail:sigangquan@mail.xjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 52077160).

Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection

Xiang Xu(徐翔), Gangquan Si(司刚全)^†, Zhang Guo(郭璋), and Babajide Oluwatosin Oresanya

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

Received:2021-03-05 Revised:2021-05-15 Accepted:2021-05-27 Online:2021-12-03 Published:2021-12-28
Contact: Gangquan Si E-mail:sigangquan@mail.xjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 52077160).

摘要/Abstract

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 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.

关键词: memcapacitor, fractional calculus, parallel connection, equivalent model

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.

Key words: memcapacitor, fractional calculus, parallel connection, equivalent model

中图分类号: (Circuit theory)

84.30.Bv

07.50.Ek (Circuits and circuit components)

Xiang Xu(徐翔), Gangquan Si(司刚全), Zhang Guo(郭璋), and Babajide Oluwatosin Oresanya. Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection[J]. 中国物理B, 2022, 31(1): 18401-018401.

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Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection

Modeling and character analyzing of multiple fractional-order memcapacitors in parallel connection

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