Design And Development Of Fractional Order Circuit Simulation Platform

In recent years,the theory of fractional calculus has gained wide attention,which has made it a new theoretical basis for the study of various disciplines.This theory has also been widely used in the field of electrical engineering.Based on the fractional calculus theory,the researchers proposed some new element models,such as fractional capacitance,fractional inductance,fractional coupling inductance,fractional order and etc.These models not only reduce the complexity of the model,but also improve the accuracy of the model,making the model more realistic.Due to the complexity of the theory of fractional calculus and the lack of tools,application of fractional calculus does not develop rapidly.Therefore,it is necessary to design a fractional toolbox with diverse functions.Firstly,this paper introduces the functional modules of the fractional-order circuit simulation platform.Based on the learning of MATLAB/GUI,the methods of input and output of the platform are elaborated.Then,by comparing and learning several commonly used fractional calculus definitions,the Caputo definition is chosen to establish the adjoint model of fractional capacitance and fractional inductance.Based on MATLAB language,the improved node method is used to write the fractional circuit simulation program which makes up the gap of fractional order circuit simulation software;In order for further study the fractional-order circuit,this paper sorts out the identification procedure and system analysis method for fractional-order circuit.The identification procedure includes traditional integer-order identification,homogeneous fractional order identification and multiple fractional order identification.System analysis includes time domain analysis and frequency domain analysis.