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A Method for Calculating the Relaxation Time Distribution of AC Impedance Spectrum

A technology of AC impedance spectroscopy and relaxation time, which is applied in the measurement of resistance/reactance/impedance, measurement devices, instruments, etc. It can solve the problems of low frequency resolution, inability to solve the actual impedance, and inability to effectively analyze the number of electrochemical reaction processes. , to achieve the effect of improving the frequency resolution

Active Publication Date: 2018-01-30
HARBIN INST OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0007] The purpose of the present invention is to solve the problem that the existing impedance spectrum analysis method has low frequency resolution, cannot effectively analyze the number of electrochemical reaction processes, the actual impedance, and cannot solve the analytical equation of the relaxation time distribution, and proposes a calculation AC Impedance Spectroscopy Relaxation Time Distribution Method

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  • A Method for Calculating the Relaxation Time Distribution of AC Impedance Spectrum
  • A Method for Calculating the Relaxation Time Distribution of AC Impedance Spectrum
  • A Method for Calculating the Relaxation Time Distribution of AC Impedance Spectrum

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specific Embodiment approach 1

[0022] Specific implementation mode one: combine figure 1 To illustrate this embodiment, a method for calculating the relaxation time distribution of the AC impedance spectrum is specifically performed according to the following steps:

[0023] Step 1. Obtain an AC impedance spectrum array, including frequency, impedance real part and impedance imaginary part;

[0024] Step 2: Perform a Kramers-Kronig test on the real part of the impedance and the imaginary part of the impedance, so that the AC impedance spectrum array obtained in step 1 is stable and analytic, wherein the Kramers-Kronig test is a test of the real part and the imaginary part ;

[0025] Step 3, on the basis of determining that the AC impedance spectrum obtained in step 1 is stable and analytic, construct the algebraic equations of the relaxation time and the relaxation time distribution function according to the frequency and the imaginary part of the impedance;

[0026] Step 4: Apply the Tikhonov regularizat...

specific Embodiment approach 2

[0027] Specific embodiment two: the difference between this embodiment and specific embodiment one is: the AC impedance spectrum array is obtained in the step one, including frequency, impedance real part and impedance imaginary part; the specific process is:

[0028] The AC impedance spectrum array is measured by electrochemical workstation or simulated equivalent circuit;

[0029] (1) The process of measuring the AC impedance spectrum array by simulating the equivalent circuit is:

[0030] The analog equivalent circuit is a series circuit of a RC circuit, the value range of a is any positive integer, where R is the resistance of the RC circuit; the unit of R is Ωcm 2 , is any positive value; C is the capacitance of the RC circuit; the unit of C is F / cm 2 , is any positive value; wherein, the RC circuit is a phase shift circuit, Ωcm 2 is Ohm·square centimeter, F / cm 2 is law / square centimeter;

[0031] The frequency range of AC impedance is 10 7 Hz~10 -4 Hz, take x discret...

specific Embodiment approach 3

[0036] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is that in the step two, the Kramers-Kronig test is performed on the real part of the impedance and the imaginary part of the impedance, so that the AC impedance spectrum array obtained in the step one is stable And it can be analyzed, wherein, the Kramers-Kronig test is the test of the real part and the imaginary part; the specific process is:

[0037] Kramers-Kronig test is performed with ZSimpWin software or with a self-written computer program;

[0038] (1) The specific operation steps of ZSimpWin software to perform Kramers-Kronig test are as follows:

[0039] 1) Import the AC impedance spectrum array into the ZSimpWin software;

[0040] 2) Click the "Apply Kramers-Kronig" (yingyong real and imaginary part test) button under "extrapolate" (inference) in the toolbar window to obtain the calculated AC impedance spectrum;

[0041] 3) Comparing the calculated AC imped...

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Abstract

The invention relates to a method of calculating AC impedance spectroscopy relaxation time distribution, so as to solve problems that the prior impedance spectroscopy analysis method has a low frequency resolution, the number of electrochemical reaction processes and actual impedance can not be effectively analyzed, and an analytical equation for relaxation time distribution can not be solved. The method is realized via the following technical scheme: 1, an AC impedance spectroscopy array including a frequency, an impedance real part and an impedance imaginary part are acquired; 2, KK test is carried out to enable the AC impedance spectroscopy array to be stable and analytical; 3, algebraic equations for relaxation time and a relaxation time distribution function are built; and 4, the relaxation time and a relaxation time distribution function array are obtained, a chart is drawn with logarithm of the relaxation time as transverse axis and with the relaxation time distribution function as longitudinal axis, each peak in the chart corresponds to a different electrochemical process, and the peak area represents the actual impedance of a different electrochemical process. The method of the invention is applied to the electrochemical field.

Description

technical field [0001] The invention relates to a method for distribution of relaxation time of AC impedance spectrum. Background technique [0002] AC impedance spectroscopy has become an important tool for electrochemical research and characterization, and is widely used in many fields, such as the study of the corrosion resistance of surface anti-corrosion coatings, the analysis of the electrochemical reaction process of solid oxide fuel cells, and the study of oxygen reduction mechanisms, Research on the transport process of membrane reactors, research on the charging and discharging performance of lithium-ion batteries and supercapacitors. The so-called AC impedance is to apply an alternating voltage disturbance of a specific frequency to an electrochemical cell. When the system is stable, an alternating current output of the same frequency will be generated. The ratio of the alternating voltage to the current is the of impedance. Since there is usually a phase differ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01R27/02G01N27/26
Inventor 张雁祥闫牧夫
Owner HARBIN INST OF TECH
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