CN107655902A - A kind of circular microwave resonant cavity sensor solution concentration measuring method - Google Patents

A kind of circular microwave resonant cavity sensor solution concentration measuring method Download PDF

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Publication number
CN107655902A
CN107655902A CN201710741964.5A CN201710741964A CN107655902A CN 107655902 A CN107655902 A CN 107655902A CN 201710741964 A CN201710741964 A CN 201710741964A CN 107655902 A CN107655902 A CN 107655902A
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solution
cavity
msub
mrow
measured
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肖夏
李桥
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Tianjin University
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Tianjin University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N22/00Investigating or analysing materials by the use of microwaves or radio waves, i.e. electromagnetic waves with a wavelength of one millimetre or more

Abstract

The present invention relates to a kind of circular microwave resonant cavity sensor solution concentration measuring method, comprise the following steps:Solution measuring system is built, the optimized dimensions of resonator are as follows:Cavity bottom surface radius is 28.24mm, a height of 56.48mm, wall thickness 3mm;Solution conduit external diameter is 3mm, internal diameter 2mm;Coupled apertures radius is 3mm;The SMA mouths of waveguide connect vector network analyzer, to obtain resonance information;When circular resonant cavity sensor solution pipe is cavity, resonant frequency f is measured0For reference frequency;After solution conduit is put into solution to be measured, the resonant frequency f of various concentrations solution is measured;The mathematical modeling of above-mentioned resonator parameter isSubstitute into f0And f, calculate the permittivity ε of solutionr, so that it is determined that the concentration of solution.

Description

A kind of circular microwave resonant cavity sensor solution concentration measuring method
Technical field
The invention belongs to Microwave Measurement Technique, it is related to a kind of solution concentration measuring method.
Background technology
With the continuous development of microwave technology, Microwave Measurement Technique presents wide in terms of society, science and technology and economic dispatch General application.Microwave technique application field includes military affairs, industry, medical science, scientific research, Precision measurement, communication system etc..Concentration It is the Important Parameters of dielectric property, proportioning, the ratio of additive level of constituent concentration in food industry safety, in chemical industry Dust discharge amount, chemical material content, the content of certain gas and the detection of pollutant in atmospheric environment, these will use concentration To characterize.The on-line checking of solution concentration is in fields such as food, medicine, chemical industry in occupation of consequence.
Circular microwave cavity has quality factor height, small, Gao Ling is lost as a kind of sensor based on microwave technology The advantages that sensitivity and stable measurement, on-line measurement can be carried out to the testing sample concentration for being put into intracavitary, and responded fast.Invention is special Profit application 201210009379.3, a kind of circular microwave cavity is given, and measured for solution, to parameters by imitative True optimization, size are as follows:Cavity bottom surface radius is 28.24mm, a height of 56.48mm, wall thickness 3mm;Solution conduit external diameter is 3mm, interior Footpath is 2mm;Coupled apertures radius is 3mm;Microwave cavity measuring study method (document [1]-[5]) is used in scientific research field at present There is no the foundation of clear and definite mathematical modeling as guidance.The present invention is based on mathematical derivation, and on the optimized dimensions having been given, carries For a kind of solution concentration measuring method.
Citation:
[1]S.Kim,H.Melikyan,J.Kim,A.Babajanyan,J.H.Lee,L.Enkhtur,B.Friedman and K.Lee,“Noninvasive in virto measurement of pig-blood D-glucose by using a microwave cavity sensor,”Diabetes Res.Clinical Pract.,pp.379-384,Jan.2012.
[2]R.Dobson,R.Wu and P.Callaghan,“Blood glucose monitoring using microwave cavity perturbation,”Electronics Letters.,vol.48,no.15,pp.1-2,May 2012.
[3]S.Kim,J.Kim,K.Kim et al.“In vitro monitoring of goat-blood glycemia with a microwave biosensor,”Current Applied Physics,14,pp.563-569, Jan 2014.
[4]G.Gennarelli,S.Romeo,M.R.Scarfi and F.Soldovieri,“A microwave resonant sensor for concentration measurements of liquid solutions,”IEEE Sensors J.,vol.13,no.5,pp.1857-1864,May 2013
[5]Suttie N,Shaw J,Hill M J,“Direct demonstration of microwave demagnetization of a whole rock sample with minimal heating,”Earth and Planetary Science Letters,vol.3,no.292,pp.357-362,Feb 2010
The content of the invention
The present invention carries out simulation optimization to a kind of physical dimension of circular microwave resonant cavity sensor, and then proposes a kind of base In the solution concentration measuring method of such a optimized dimensions.
A kind of circular microwave resonant cavity sensor solution concentration measuring method, comprises the following steps:
(1) solution measuring system is built, solution conduit holds solution, and waveguide is connected with cavity by Small aperture coupling, Ge Xiangcan Number passes through simulation optimization, and size is as follows:Cavity bottom surface radius is 28.24mm, a height of 56.48mm, wall thickness 3mm;Solution conduit external diameter For 3mm, internal diameter 2mm;Coupled apertures radius is 3mm;
(2) the SMA mouths of waveguide connect vector network analyzer, to obtain resonance information;
(3) when circular resonant cavity sensor solution pipe is cavity, resonant frequency f is measured0For reference frequency;
(4) after solution conduit being put into solution to be measured, the resonant frequency f of various concentrations solution is measured;
(5) mathematical modeling of above-mentioned resonator parameter is
Substitute into f0And f, calculate the permittivity ε of solutionr, so that it is determined that the concentration of solution.
The present invention establishes clear and definite Dielectric constant and resonator by the mathematical derivation to cylindrical cavity model The expression formula of sensor resonant frequency, this expression formula have universality, then the resonant cavity size according to optimization, had Body expression formula, so as to measure composition of various solution etc..
Brief description of the drawings
The resonator cavity figure that Fig. 1 present invention uses
Fig. 2 sugar aqueous solutions experiment measurement and theoretical calculation data
Specific implementation method
The solution concentration measuring principle of the present invention is realized according to perturbation theory.According to resonant cavity perturbation technology, sensing The change of device resonant frequency turns to:
ε and μ is initial dielectric constant and magnetic conductivity, Δ ε and the knots modification of Δ μ dielectric constants and magnetic conductivity, E0And H0Table Show initial electric field and magnetic field vector.Resonant frequency is from reference frequency f0Change to f.
Due to resonator average time Power Flow be it is equal, the offset of frequency can using abbreviation as:
During measurement, when sample is placed at maximum field, the influence in magnetic field can be ignored, and frequency shift (FS) is:
When resonator is operated in TE011Field component under pattern is:
L is cavity length, ω0Resonance angular frequency, μ0The magnetic conductivity of cavity, H0It is magnetic field intensity, kc=3.832/a, a It is resonator radius, J0It is zero Bessel function.
Therefore, the frequency shift (FS) of resonator sensor is
Wherein K1、K2The respectively constant value of triple integral
Obtained by common integral formula:
The detail parameters of resonator refer to application for a patent for invention 201210009379.3, and parameters pass through simulation optimization, Size is as follows:Cavity bottom surface radius is 28.24mm, a height of 56.48mm, wall thickness 3mm;Solution conduit external diameter is 3mm, internal diameter 2mm; Coupled apertures radius is 3mm.
Parameter is brought into integral formula and obtained
When solution is placed in intracavitary, the change of resonant frequency caused by the change of Dielectric constant turns to:
The composition for the testing sample being put into resonator sensor, which changes, can cause intra resonant cavity magnetic distribution Change, what is intuitively showed is the change of resonant frequency, and then can be according to the offset for calculating resonant frequency come really Determine the composition of testing sample.
The system measures, step-length is in the case where temperature is 298.15K to 70-150mg/dl binary sugar aqueous solution 10mg/dl, measurement response is fast, and precision is high.Experimental result is as shown in Fig. 2 sugar aqueous solution concentration increase causes resonant frequency linear Increase, experimental result match very much with the result that mathematical modeling calculates, and have very high accuracy and confidence.

Claims (1)

1. a kind of circular microwave resonant cavity sensor solution concentration measuring method, comprises the following steps:
(1) solution measuring system is built, solution conduit holds solution, and waveguide is connected with cavity by Small aperture coupling, parameters warp Simulation optimization is crossed, size is as follows:Cavity bottom surface radius is 28.24mm, a height of 56.48mm, wall thickness 3mm;Solution conduit external diameter is 3mm, internal diameter 2mm;Coupled apertures radius is 3mm;
(2) the SMA mouths of waveguide connect vector network analyzer, to obtain resonance information;
(3) when circular resonant cavity sensor solution pipe is cavity, resonant frequency f is measured0For reference frequency;
(4) after solution conduit being put into solution to be measured, the resonant frequency f of various concentrations solution is measured;
(5) mathematical modeling of above-mentioned resonator parameter is
<mrow> <mfrac> <mrow> <mo>(</mo> <mi>f</mi> <mo>-</mo> <msub> <mi>f</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> <msub> <mi>f</mi> <mn>0</mn> </msub> </mfrac> <mo>&amp;ap;</mo> <mo>-</mo> <mn>0.00013</mn> <mrow> <mo>(</mo> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
Substitute into f0And f, calculate the permittivity ε of solutionr, so that it is determined that the concentration of solution.
CN201710741964.5A 2017-08-25 2017-08-25 A kind of circular microwave resonant cavity sensor solution concentration measuring method Pending CN107655902A (en)

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Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108896581A (en) * 2018-08-31 2018-11-27 天津大学 A kind of broadband circle microwave resonant cavity sensor
CN109211940A (en) * 2018-08-31 2019-01-15 天津大学 A kind of microwave resonant cavity sensor water pollutant measurement method
CN109239104A (en) * 2018-08-31 2019-01-18 天津大学 Dielectric constant measurement method based on broadband microwave resonant cavity sensor
CN110187189A (en) * 2019-03-01 2019-08-30 电子科技大学 Biological solution electromagnetic parameter detection device and detection method
CN110705092A (en) * 2019-09-27 2020-01-17 天津大学 Error correction method based on resonant cavity microwave perturbation theory
WO2020120598A1 (en) 2018-12-14 2020-06-18 Université Paris-Sud Microstrip-type microwave sensor
FR3090110A1 (en) 2018-12-14 2020-06-19 Centre National De La Recherche Scientifique Microwave ribbon type sensor

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CN204718973U (en) * 2015-06-24 2015-10-21 西南石油大学 A kind of crude oil MMU microwave measurement unit
CN105067654A (en) * 2015-09-11 2015-11-18 天津大学 Single-mode resonant cavity sensor-based solution concentration measurement method

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CN105067654A (en) * 2015-09-11 2015-11-18 天津大学 Single-mode resonant cavity sensor-based solution concentration measurement method

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HAO FU等: "Study on Material Relative Permittivity Using TE011 Cylindrical Microwave Cavity", 《IEEE INTERNATIONAL WORKSHOP ON ELECTROMAGNETICS: APPLICATIONS AND STUDENT INNOVATION COMPETITION (IWEM) 》 *
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Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108896581A (en) * 2018-08-31 2018-11-27 天津大学 A kind of broadband circle microwave resonant cavity sensor
CN109211940A (en) * 2018-08-31 2019-01-15 天津大学 A kind of microwave resonant cavity sensor water pollutant measurement method
CN109239104A (en) * 2018-08-31 2019-01-18 天津大学 Dielectric constant measurement method based on broadband microwave resonant cavity sensor
WO2020120598A1 (en) 2018-12-14 2020-06-18 Université Paris-Sud Microstrip-type microwave sensor
FR3090110A1 (en) 2018-12-14 2020-06-19 Centre National De La Recherche Scientifique Microwave ribbon type sensor
FR3090109A1 (en) 2018-12-14 2020-06-19 Centre National De La Recheche Scientifique Microwave ribbon type sensor
CN110187189A (en) * 2019-03-01 2019-08-30 电子科技大学 Biological solution electromagnetic parameter detection device and detection method
CN110705092A (en) * 2019-09-27 2020-01-17 天津大学 Error correction method based on resonant cavity microwave perturbation theory

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Application publication date: 20180202