Equivalent Circuit Model Of Mem-elements And Its Electrical Characteristics

The presentation of Memristor,Memcapacitor and Meminductor extends the classical theory of electronic circuits as a new type of Mem-elements.Due to the unique memory characteristic of mem-elements,its potential value has attracted wide attention and has been applied in nonvolatile memory,artificial neural networks,biomedical,image processing and chaotic circuits.However,the preparation of mem-elements is limited by sophisticated nanotechnology and harsh experimental environment,its commercialization requires a long process.In order to analysis and study the electrical characteristics of mem-elements and their related applications.Building equivalent circuit model according to the actual electrical characteristics of mem-elements is an effective approach.The main contents of this paper are as follows:the construction of the equivalent circuit model of mem-elements and the study of the electrical characteristics of mem-elements,which mainly includes the following parts:(1)Based on the HP memristor,the physical structure and memory mechanism of it are presented in detail.This paper summarizes the research status of mem-elements and its application fields.The existence of memristors is proved by the completeness of circuit theory,as the memory effect is a common phenomenon of nanomaterials,which leads to the concept of memcapacitor and meminductor.(2)According to the constitutive of the memristor,a simplest memristor emulator is built with common electronic components.The circuit contains only five components,but it is regrettable that only the grounded form can be realized.As a two-port device,the memristor should be able to achieve any connection with other electronic components.In order to solve this problem,the improvement of the circuit,a floating memristor emulator and its hardware circuit are presented.The experimental results show the pinched hysteresis characteristic curve of the memristor.(3)In order to emulate the electrical behavior of three kinds of mem-elements in the same circuit,a simple and universal mem-elements emulator is constructed with linear voltage control floating impedance circuit and current integrator.The emulator circuit can emulate the electrical behavior of memristors,memcapacitor,and meminductor when combines different types of components under the same circuit topology.The emulator is floating and built with common electronic components,so it is convenient to analyze and study the characteristics of the mem-elements and itsapplication circuit in a simple experimental environment.(4)For the floating memristor emulator,this paper studies the effects of the change of the excitation signal type,frequency and amplitude on its electrical characteristics.The mem-elements as a dynamic states controlled by the internal state of the device.The initial value of the variable of the internal state has a great effect on the device's electrical characteristics.Based on the piecewise linear mathematical model of meminductor,the Simulink simulation model is established.Both from the symmetry and asymmetry of piecewise linear models,and studied the influence of meminductor electrical characteristics under different initial values of internal state variables.(5)The proposed mem-elements emulator can form three new series resonant circuits when replace the resistance,inductance and capacitance of the RLC series circuit.The influences of mem-elements in time domain and frequency domain are studied.It provides an important guiding for the potential application of mem-elements.