CN103604995A - Electrode polarization correction method applied to liquid impedance measurement - Google Patents
Electrode polarization correction method applied to liquid impedance measurement Download PDFInfo
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- CN103604995A CN103604995A CN201310616651.9A CN201310616651A CN103604995A CN 103604995 A CN103604995 A CN 103604995A CN 201310616651 A CN201310616651 A CN 201310616651A CN 103604995 A CN103604995 A CN 103604995A
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Abstract
The invention relates to an electrode polarization correction method applied to liquid impedance measurement. The method includes the following steps that firstly, a first mathematic expression: Cp=A*fB is established, wherein Cp represents the polarization capacitance of an electrode, a first constant A is the capacitance of a solution to be measured in the time of 1Hz and f is a measurement frequency; secondly, a constant B is a constant relevant to the electrode, a second mathematic expression: Cm=Cp+Cl is established, Cm represents the measured capacitance of the solution to be measured, Cl represents the capacitance of the solution to be measured. A third mathematic expression: Cm-Cl=A*fB is obtained according to the first mathematic expression and the second mathematic expression. A NaCl solution is prepared and an impedance analyzing instrument is used for measuring the impedance spectral line of the solution. The measured capacitance of the NaCl solution at the high frequency of 20MHz servers as the capacitance Cl of the solution. The capacitance Cm1 of the solution to be measured at the first frequency f1 is measured and the capacitance Cm2 of the solution to be measured at the second frequency f2 is measured. f1, Cm1, f2 and Cm2 are substituted into the third mathematic expression to obtain a simultaneous equation, thus, the first constant value A0 for the NaCl solution and the second constant value B0 for the current electrode are solved.
Description
Technical field
The present invention relates to fluid impedance fields of measurement, more particularly, the present invention relates to a kind of electrode polarization modification method of measuring for fluid impedance.
Background technology
Fluid impedance measurement can be used for analyzing the parameters such as the composition, concentration, structure, distribution of liquid, and this can be used on the fields such as blood analysis, clinical diagnosis, fermentation monitoring, battery detecting.But measurement parameter is usually measured polarization of electrode effect and is disturbed, make to measure inaccurate, affect promoting the use of of this method.
In fact, due to the interference of electrode polarization, existing fluid impedance measurement is only applicable to liquid that low conductivity bottom electrode polarizes in not serious situation as oil, ethanol, deionized water etc.As being directly used in, measure high conductivity liquid and can produce very large error and can not be effective as the impedance of KCl solution.
The existing disposal route for electrode polarization comprises:
(1) use adjustable interval electrode, suppose that polarization does not change with Distance change between the electrodes, only before and after Distance change between the electrodes, record impedance variation and between electrode liquid impedance phase close, the method is not only theoretically unsound, movable part also can bring problem;
(2) use Cole-Cole mathematical model correction electrode polarization impact, obtain the impedance of liquid self, but parameter in Cole-Cole model is more, need to measure compared with multiparameter, and some parameter is difficult to continuous coverage during use;
(3) use non-polarized electrode as electromagnetic induction electrode, utilize the law of electromagnetic induction, the electromagnetic wave that transmitting coil sends is accepted coil and receives, the electromagnetic intensity of receiving is relevant with conductivity, the specific inductive capacity of their residing liquid with phase place, but the applicable frequency range of the method is limited, and measurement is subject to the interference of external electromagnetic field and is difficult to practicality.
Summary of the invention
Technical matters to be solved by this invention is for there being above-mentioned defect in prior art, a kind of electrode polarization modification method of measuring for fluid impedance is provided, it can get rid of electrode polarization interference problem in conductive liquid impedance measurement, thereby raising measurement accuracy, makes impedance measurement technique from laboratory, move towards medical diagnosis, industrial detection.
In order to realize above-mentioned technical purpose, according to the present invention, provide a kind of electrode polarization modification method of measuring for fluid impedance, it comprises:
First step: set up first mathematical expression Cp=A * f
b; Wherein, Cp represents polarization of electrode electric capacity; The capacitance of solution to be measured when the first constant A is 1Hz; F is survey frequency; The second constant B is the constant relevant to electrode;
Second step: set up the second mathematical expression Cm=Cp+Cl, i.e. Cp=Cm-Cl; Wherein, Cm represents the capacitance of the solution to be measured that records, and Cl represents the electric capacity of liquid to be measured itself;
Third step: obtain the 3rd mathematical expression: Cm-Cl=A * f according to the first mathematical expression and the second mathematical expression
b;
The 4th step: configuration NaCl solution, and use electric impedance analyzer to measure the impedance spectral line of this solution, the capacitance of the NaCl solution that high frequency 20MHz place is recorded is as solution selfcapacity Cl;
The 5th step: measure the capacitance Cm1 of the solution to be measured under first frequency f1, and measure the capacitance Cm2 of the solution to be measured under second frequency f2;
The 6th step: f1, Cm1, f2 and Cm2 substitution the 3rd mathematical expression are obtained to simultaneous equations:
Cm1-Cl=A×f
B1
Cm2-Cl=A * f
b2thereby, solve for NaCl solution the first constant value A0 with for the second constant value B0 of current electrode.
Preferably, the described electrode polarization modification method of measuring for fluid impedance also comprises the 7th step: by constant A 0 and B0 substitution the first mathematical expression, thereby obtain the polarization capacity Cp=A0 * f changing with survey frequency f of current electrode
b0.
Preferably, the described electrode polarization modification method of measuring for fluid impedance also comprises the 8th step: utilize the formula Cp=A0 * f obtaining
b0revise in real time electrode polarization capacitance interference.
Preferably, first frequency f1 is 1kHz.
Preferably, second frequency f2 is 10kHz.
Preferably, in the 4th step, utilize distilled water and analyze pure NaCl powder configuration NaCl solution.
Preferably, the described electrode polarization modification method of measuring for fluid impedance also comprises: the value to the first constant corresponding to different conductivity values is demarcated.
The invention provides a kind of for calculating the theoretical analysis method of electrode polarization operation.The method is calculated easy, and desired parameters is few, calculates and revise electrode polarization interference while can be used for real-time online measuring fluid impedance.The present invention can reduce the interference of electrode polarization, makes fluid impedance measurement application more practical.
Accompanying drawing explanation
By reference to the accompanying drawings, and by reference to detailed description below, will more easily to the present invention, there is more complete understanding and more easily understand its advantage of following and feature, wherein:
Fig. 1 schematically shows the process flow diagram of the electrode polarization modification method of measuring for fluid impedance according to the preferred embodiment of the invention.
Fig. 2 schematically shows empirical curve example according to the preferred embodiment of the invention.
It should be noted that, accompanying drawing is used for illustrating the present invention, and unrestricted the present invention.Note, the accompanying drawing that represents structure may not be to draw in proportion.And in accompanying drawing, identical or similar element indicates identical or similar label.
Embodiment
In order to make content of the present invention more clear and understandable, below in conjunction with specific embodiments and the drawings, content of the present invention is described in detail.
First, the present inventor advantageously finds:
I, according to a large amount of experiments, the electrode polarization electric capacity in liquid meets mathematical expression Cp=A * f
b.Wherein Cp is polarization capacity; The capacitance of solution when A is 1Hz, it depends on the conductivity of testing liquid; F is survey frequency; B is the constant relevant to electrode, conventionally in 1～7 scope.
II, fluid impedance comprise that electricity leads and 2 parameters of electric capacity.Therefore electricity is led and affected by electrode polarization, and recording that electricity leads is conductance of liquid; Record capacitor C m and by the capacitor C l of electrode polarization capacitor C p and liquid itself, formed, be i.e. Cm=Cp+Cl.According to calculating Cp in I, in Cm, deduct, can obtain liquid capacitor C l value to be measured.
III, for calculating Cp, need obtain constant A and B.The step of obtaining this constant is as follows:
A, by distilled water with analyze pure NaCl powder configuration NaCl solution, use electric impedance analyzer (for example, can use the electric impedance analyzer that signal is 4294A) to measure the impedance spectral line of this solution, attentional selection parallel impedance model.For example, in concrete test, the electric capacity frequency spectrum of impedance spectral line is as shown in diamond curve in Fig. 2, and this curve reduces to have significantly with frequency and increases fast below 200kHz, and electricity is led spectral line as shown in square curve in Fig. 2, this curve substantially constant.
B, in theory, this does not have dielectric relaxation NaCl solution in 100MHz, thereby its capacitance should remain unchanged, with high frequency 20MHz place capacitance as solution selfcapacity Cl; The electric capacity increase at low frequency place is to be brought by electrode polarization.Cp=Cm-Cl now.
Electrode polarization electric capacity when c, constant A are 1Hz, but electrode polarization electric capacity is very big during 1Hz, and measuring error is also very large, adopts the electric capacity of (while conventionally adopting 1kHz and 10kHz) under two different frequencies to calculate A and B.If polarization capacity C during 1kHz
p 1kHz, polarization capacity C during 10kHz
p 10kHz, bring polarization capacity mathematical expression Cp=A * f into
b, Simultaneous Equations, can obtain constant A and B.
A and B that d, basis are tried to achieve, obtain update equation.Utilizing this equation correction to measure capacitance curve, just obtain revised solution curve as shown in Fig. 2 intermediate cam shape curve, is a straight line substantially.
IV, constant B is substantially constant while using same electrode, and constant A changes with the variation of the conductivity of testing liquid, thereby need to constant A value corresponding to different conductivity values, demarcate before use.When measuring solution, only need according to the conductivity selectivity constant A value recording, at different frequency point, according to corrected Calculation formula, electrode polarization is revised.There is dielectric relaxation at medium and low frequency in the solution such as oil hydrosol, the capacitance of solution self changes, and utilizes the method can record its variation.
Fig. 1 schematically shows the process flow diagram of the electrode polarization modification method of measuring for fluid impedance according to the preferred embodiment of the invention.
Specifically, as shown in Figure 1, the electrode polarization modification method of measuring for fluid impedance according to the preferred embodiment of the invention comprises:
First step S1: set up first mathematical expression Cp=A * f
b; Wherein, Cp represents polarization of electrode electric capacity; The capacitance of solution to be measured when the first constant A is 1Hz; F is survey frequency; The second constant B is the constant relevant to electrode;
Second step S2: set up the second mathematical expression Cm=Cp+Cl, i.e. Cp=Cm-Cl; Wherein, Cm represents the capacitance of the solution to be measured that records, and Cl represents the electric capacity of liquid to be measured itself;
Third step S3: obtain the 3rd mathematical expression: Cm-Cl=A * f according to the first mathematical expression and the second mathematical expression
b;
The 4th step S4: configuration NaCl solution, and use electric impedance analyzer to measure the impedance spectral line of this solution, the capacitance of the NaCl solution that high frequency 20MHz place is recorded is as solution selfcapacity Cl;
The 5th step S5: measure for example 1kHz of first frequency f1() the capacitance Cm1 of lower solution to be measured, and measurement second frequency f2(is 10kHz for example) under the capacitance Cm2 of solution to be measured;
The 6th step S6: f1, Cm1, f2 and Cm2 substitution the 3rd mathematical expression are obtained to simultaneous equations:
Cm1-Cl=A×f
B1
Cm2-Cl=A * f
b2thereby, solve for NaCl solution the first constant value A0 with for the second constant value B0 of current electrode;
The 7th step S7: by constant A 0 and B0 substitution the first mathematical expression, thereby obtain the polarization capacity Cp=A0 * f changing with survey frequency f of current electrode
b0.
The 8th step S8: utilize the formula Cp=A0 * f obtaining
b0revise in real time electrode polarization capacitance interference; Specifically, utilize the Cp calculating formula obtaining, when using current potential electrode to measure fluid impedance, the actual capacitance Cl=Cm-Cp of liquid, can revise electrode polarization capacitance interference in real time, obtains the true electric capacity of current liquid.
Due to the second constant having calculated in the capacitance formula of electrode polarization as the constant relevant to electrode, thereby obtained the rule of the electrode polarization that exists in liquid capacitance measurement; During follow-up impedance of measuring practically other liquid, the value that only need to obtain liquid the first constant (for example, the value of the first constant A corresponding to different conductivity values being demarcated) for liquid to be measured according to measurement can obtain the rule of the polarization capacity Cp of other application.
Thus, the electrode polarization that the present invention exists in can opaquing fluid body capacitance measuring, obtains the electric capacity of solution self with the spectral line of frequency change.This spectral line is most important for the parameter of the solution such as analysis of cells suspending liquid, oil hydrosol.But electrode polarization meeting causes recording electric capacity spectral line and greatly departs from actual value at medium and low frequency, thereby record spectral line and can not directly use.This modification method can be eliminated the interference effect of electrode polarization, obtains true spectral line, is convenient to subsequent analysis and uses.
Thus, when the present invention measures at fluid impedance, eliminate the impact of electrode polarization on measurement accuracy, improved the accuracy of measuring.Fluid impedance is measured for occasions such as blood analysis, fermentation monitoring, clinical diagnosises.And, because the present invention has improved the accuracy that fluid impedance is measured, thereby expand measuring accuracy and the usable range of fluid impedance Measurement and analysis.
In addition, it should be noted that, unless stated otherwise or point out, otherwise the descriptions such as the term in instructions " first ", " second ", " the 3rd " are only for distinguishing each assembly, element, step of instructions etc., rather than for representing logical relation between each assembly, element, step or ordinal relation etc.
Be understandable that, although the present invention with preferred embodiment disclosure as above, yet above-described embodiment is not in order to limit the present invention.For any those of ordinary skill in the art, do not departing from technical solution of the present invention scope situation, all can utilize the technology contents of above-mentioned announcement to make many possible changes and modification to technical solution of the present invention, or be revised as the equivalent embodiment of equivalent variations.Therefore, every content that does not depart from technical solution of the present invention,, all still belongs in the scope of technical solution of the present invention protection any simple modification made for any of the above embodiments, equivalent variations and modification according to technical spirit of the present invention.
Claims (7)
1. an electrode polarization modification method of measuring for fluid impedance, is characterized in that comprising:
First step: set up first mathematical expression Cp=A * f
b; Wherein, Cp represents polarization of electrode electric capacity; The capacitance of solution to be measured when the first constant A is 1Hz; F is survey frequency; The second constant B is the constant relevant to electrode;
Second step: set up the second mathematical expression Cm=Cp+Cl, i.e. Cp=Cm-Cl; Wherein, Cm represents the capacitance of the solution to be measured that records, and Cl represents the electric capacity of liquid to be measured itself;
Third step: obtain the 3rd mathematical expression: Cm-Cl=A * f according to the first mathematical expression and the second mathematical expression
b;
The 4th step: configuration NaCl solution, and use electric impedance analyzer to measure the impedance spectral line of this solution, the capacitance of the NaCl solution that high frequency 20MHz place is recorded is as solution selfcapacity Cl;
The 5th step: measure the capacitance Cm1 of the solution to be measured under first frequency f1, and measure the capacitance Cm2 of the solution to be measured under second frequency f2;
The 6th step: f1, Cm1, f2 and Cm2 substitution the 3rd mathematical expression are obtained to simultaneous equations:
Cm1-Cl=A×f
B1
Cm2-Cl=A * f
b2thereby, solve for NaCl solution the first constant value A0 with for the second constant value B0 of current electrode.
2. the electrode polarization modification method of measuring for fluid impedance according to claim 1, characterized by further comprising:
The 7th step: by constant A 0 and B0 substitution the first mathematical expression, thereby obtain the polarization capacity Cp=A0 * f changing with survey frequency f of current electrode
b0.
3. the electrode polarization modification method of measuring for fluid impedance according to claim 2, characterized by further comprising the 8th step: utilize the formula Cp=A0 * f obtaining
b0revise in real time electrode polarization capacitance interference.
4. the electrode polarization modification method of measuring for fluid impedance according to claim 1 and 2, is characterized in that, first frequency f1 is 1kHz.
5. the electrode polarization modification method of measuring for fluid impedance according to claim 1 and 2, is characterized in that, second frequency f2 is 10kHz.
6. the electrode polarization modification method of measuring for fluid impedance according to claim 1 and 2, is characterized in that, in the 4th step, utilizes distilled water and analyzes pure NaCl powder configuration NaCl solution.
7. the electrode polarization modification method of measuring for fluid impedance according to claim 1 and 2, characterized by further comprising: the value to the first constant corresponding to different conductivity values is demarcated.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109959890A (en) * | 2019-01-23 | 2019-07-02 | 南方医科大学 | A kind of electrode polarization bearing calibration of beginning coaxial probe and processing terminal |
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| CN2069567U (en) * | 1990-04-03 | 1991-01-16 | 常州市佳乐电子仪器厂 | Liquid dielectric resistivity/resistance tester |
| WO2012062798A1 (en) * | 2010-11-09 | 2012-05-18 | Endress+Hauser Conducta Gesellschaft Für Mess- Und Regeltechnik Mbh+Co. Kg | Method for calibrating a conductivity measuring cell |
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| CN103364639A (en) * | 2013-06-25 | 2013-10-23 | 西安热工研究院有限公司 | Measurement method for solution resistance in dynamic pure water system metal corrosion electrochemical measurement |
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2013
- 2013-11-27 CN CN201310616651.9A patent/CN103604995B/en not_active Expired - Fee Related
Patent Citations (4)
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|---|---|---|---|---|
| CN2069567U (en) * | 1990-04-03 | 1991-01-16 | 常州市佳乐电子仪器厂 | Liquid dielectric resistivity/resistance tester |
| WO2012062798A1 (en) * | 2010-11-09 | 2012-05-18 | Endress+Hauser Conducta Gesellschaft Für Mess- Und Regeltechnik Mbh+Co. Kg | Method for calibrating a conductivity measuring cell |
| CN202383279U (en) * | 2011-12-12 | 2012-08-15 | 中国海洋石油总公司 | Mark device of fluid resistivity sensor |
| CN103364639A (en) * | 2013-06-25 | 2013-10-23 | 西安热工研究院有限公司 | Measurement method for solution resistance in dynamic pure water system metal corrosion electrochemical measurement |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109959890A (en) * | 2019-01-23 | 2019-07-02 | 南方医科大学 | A kind of electrode polarization bearing calibration of beginning coaxial probe and processing terminal |
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