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Abstract

Memristors, memcapacitors and meminductors are nonlinear circuit components with memory effects and belong to memory element (mem-element) system. Since there are many shortcomings in the existing available commercial memristor chips, and the physical realizations of memcapacitor and meminductor hardware are still in early stages, it is still difficult for researchers to obtain hardware mem-elements for research. In order to solve this problem, it is still necessary to build effective equivalent models of mem-elements to facilitate the research on their characteristics and applications. In this paper, a novel floating mem-element modeling method is proposed by connecting different passive circuit component to a universal interface while keeping the circuit topology unchanged. Compared with other floating universal mem-element models, the model built in this paper has simple structure, high working frequencies, thus making proposed models easier to implement. The feasibility and effectiveness of the mem-elements models based on the universal interface are successfully verified through theoretical analysis, PSPICE simulation results and hardware experimental results.

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Authors and contacts

Corresponding author:Li Ya,liya2829@gpnu.edu.cn

Funds:Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant Nos. 61801154, 62101142), the Science and Technology Program of Guangzhou, China (Grant Nos. 201904010302, 202102020874), the Featured Innovation Foundation of the Education Department of Guangdong Province, China (Grant Nos. 2021ZDZX1079, 2021KTSCX062), and the Doctoral Scientific Research Startup Fund of Guangdong Polytechnic Normal University, China (Grant No. 2021SDKYA009).

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记忆元件类型	忆阻器	忆容器	忆感器
电路拓扑结构	通用模拟器
阻抗元件$ {Z_1} $	电阻$ {R_{\text{2}}} $	电阻$ {R_{\text{2}}} $	电感$ {L_{\text{1}}} $
阻抗元件$ {Z_{\text{2}}} $	电阻$ {R_{\text{3}}} $	电容$ {C_{\text{2}}} $	电阻$ {R_{\text{2}}} $
内部状态变量	$q {\text{-}} \phi$	$\sigma {\text{-}} \phi$	$q {\text{-}} \rho$
本构方程	$ W\left( {{\phi _{{\text{AB}}}}} \right) = {\alpha _1}{\phi _{{\text{AB}}}} + {\beta _1} $	$C_{\text{m} }\left( { {\phi _{ {\text{AB} } } }} \right) = {\alpha _2}{\phi _{ {\text{AB} } } } + {\beta _2}$	$L{_ {\text{m} }^{ - 1} }\left( { {\rho _{ {\text{AB} } } }} \right) = {\alpha _3}{\rho _{ {\text{AB} } } } + {\beta _3}$
$ {\alpha _x} $值	${\alpha _{\text{1} } } = \dfrac{ { {R_{\text{1} } } }}{ {10 R_{\text{2} }^{\text{2} }{R_{\text{3} } }{C_{\text{1} } } }}$	${\alpha _{\text{2} } } = \dfrac{ { {R_{\text{1} } }{C_{\text{2} } } }}{ {10 R_{\text{2} }^{\text{2} }{C_{\text{1} } } }}$	${\alpha _{\text{3} } } = \dfrac{ { {R_{\text{1} } } }}{ {10 L_{\text{1} }^{\text{2} }{R_{\text{2} } }{C_{\text{1} } } }}$
$ {\beta _x} $值	$ {\beta _{\text{1} } } = - \dfrac{ { {R_{\text{1} } } } }{ { {\text{10} }{R_{\text{2} } }{R_{\text{3} } } } }V_{\text{s} } $	$ {\beta _{\text{2} } } = - \dfrac{ { {R_{\text{1} } }{C_{\text{2} } } } }{ { {\text{10} }{R_{\text{2} } } } }V_{\text{s} } $	${\beta _{\text{3} } } = - \dfrac{ { {R_{\text{1} } } }}{ { {\text{10} }{L_{\text{1} } }{R_{\text{2} } } }}{V_{\text{s} } }$

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Vol. 70, Issue 23 - 2021-12-05

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