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.
作者
徐翔
司刚全
郭璋
Babajide Oluwatosin Oresanya
Xiang Xu;Gangquan Si;Zhang Guo;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)
基金
the National Natural Science Foundation of China(Grant No.52077160).