A Parameter Identification Method of Fractional Order Model of Supercapacitor

Abstract

The invention relates to a super-capacitor fractional order model parameter identification method. The method comprises the steps of 1, experimentally collecting resonant frequency response data of a series resonant circuit containing a super-capacitor; 2, analyzing and calculating the resonant frequency response data of the series resonant circuit containing the super-capacitor; and 3, according to a fractional order calculus theoretical derivation formula, performing identification to obtain the capacity and a fractional order of the super-capacitor. According to the method, based on the scientific fact that model parameters of actual capacitance and inductance are all fractional order parameters, by adopting an experimental method for measuring fractional order series resonance frequency response of the super-capacitor, and through building a super-capacitor shunt Ro C alpha fractional order impedance model, resonant frequency response experiment and numerical calculation are carried out, a super-capacitor fractional order model parameter identifier is designed and manufactured, and accurate parameters of a super-capacitor fractional order model are obtained; and the experiment is simple and easy, the steps are concise, a calculation result is accurate, and the applicability is wide.

Description

technical field [0001] The invention relates to the technical field of identification of fractional-order model parameters of supercapacitors, in particular to an identification method for measuring fractional-order model parameters of supercapacitors by using series resonance frequency response. Background technique [0002] As an energy storage device, supercapacitors have been widely used due to their excellent characteristics. In recent years, research on supercapacitors has continued to deepen. In order to describe the complex internal structure of porous carbon materials and the corresponding capacitance values, the predecessors proposed three basic models: traditional equivalent circuit model, artificial neural network model and fractional order model. . Since Leibnitz and L'Hospital proposed the concept of fractional calculus in 1695, the fractional order model has become the most diverse model. Compared with the traditional equivalent circuit model, this type of mo...

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Problems solved by technology

They only conducted experiments and identifications for the first-order RC circuit, and could obtain the time-domain numerical solution of the step response of the fractional-order model of the capacitor, but they did not analyze the second-order and above RLC circuits

The shortcomings of the experimental method and numerical calculation of the step or impulse response in the time domain are: for the step or impulse response of the fractional order model of the RLC circuit of the second order and above, the Laplace inverse from the frequency domain to the time domain The transformation does not necessarily have a solution, and compared with the integer order, it is more difficult to obtain the time-domain analytical solution of the fractional order model response, and it is also more difficult to simulate

[0007] In summary, so far, fractional-order RL has not been seen in practical applications β C α Apparatus or instrument for identifying fractional model parameters (resistance, capacitance, and fractional order) of supercapacitors by means of series resonant frequency response

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