Measuring method of impedance parameters of supercapacitor fractional order model

Abstract

The invention discloses a measuring method of impedance parameters of a supercapacitor fractional order model. The measuring method of the impedance parameters of the supercapacitor fractional order model comprises the steps that S10, the supercapacitor fractional order model is constructed and the impedance parameters of the supercapacitor fractional order model are determined; S20, a voltage excitation step signal is applied in the supercapacitor fractional order model, and the relationship between output voltage and the impedance parameters of a supercapacitor under step response is established; S30, based on an Isqcurvefit function and the constrained minimization process, an objective function and constraint conditions of the fitting process of the mpedance parameters are established;and S40, based on a trust region reflection method, the objective function under the constraint conditions is solved, and the measurement of the impedance parameters in the supercapacitor fractionalorder model is realized. According to the measuring method of the impedance parameters of the supercapacitor fractional order model, by the method of applying the voltage excitation step signal in thesupercapacitor fractional order model, on the basis of the fitting process and a trust region reflection algorithm, the accurate measurement of the impedance parameters of the supercapacitor fractional order model is realized, so that the fractional order model can more accurately describe the dynamic characteristics of the supercapacitor under the low-and-medium frequency, the long-term transient state and step responses.

Description

technical field [0001] The invention relates to the technical field of supercapacitors, in particular to a method for measuring impedance parameters of a fractional order model of a supercapacitor. Background technique [0002] Supercapacitors, also known as electric double-layer capacitors, are high-power-density energy storage devices that are widely used in wind power generation, photovoltaic systems, hybrid electric vehicles, electric vehicles, and biomedical sensors. Generally, a supercapacitor is modeled by an RC network composed of an equivalent resistance R and an ideal capacitor C in series to describe its dynamic behavior over a wide frequency band. However, only relying on the two parameters of equivalent resistance R and ideal capacitor C in a wide frequency band will lead to inaccurate supercapacitor modeling and unreasonable description of its dynamic behavior. In recent years, some scholars have modeled and described the dynamic behavior of supercapacitors ba...

AI Technical Summary

Problems solved by technology

[0004] In view of the deficiencies in the prior art above, the present invention provides a method for measuring the impedance parameters of the fractional-order model of supercapacitors, which effectively solves the technical problem that the impedance parameters of the fractional-order model of supercapacitors cannot be accurately measured in the prior art

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