CN109100045A - Based on the multispectral gas temperature probability density distribution method for reconstructing in monochromatic light road - Google Patents
Based on the multispectral gas temperature probability density distribution method for reconstructing in monochromatic light road Download PDFInfo
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Abstract
The present invention provides a kind of based on the multispectral gas temperature probability density distribution method for reconstructing in monochromatic light road, the following steps are included: the laser for making to cover multiple absorption spectral coverages that certain under test gas absorbs molecule passes through tested gas zones along single light path, the corresponding absorptivity integral measurement data of multiple absorption spectral coverages are obtained；The integral equations of gas temperature probability density distribution are solved using line intensity and absorptivity the integral building of above-mentioned absorption spectral coverage；Integral equations are normalized and sliding-model control, solve the fitting of a polynomial parameter of gas temperature probability density distribution, calculate gas temperature probability density distribution.Compared to multi-angle of view multi-optical spectrum imaging system, it is an advantage of the invention that structure is simple, required optical window is few, use limited discrete absorption spectral coverage, gas temperature probability density distribution can be rebuild without Temperature Distribution prior information, reconstruction speed is fast, and excellent effect is with a wide range of applications in contactless non-uniform temperature distribution measuring field.
Description
Technical field
The present invention relates to one kind to be based on the multispectral gas temperature probability density distribution method for reconstructing in monochromatic light road, and in particular to
In dut temperature parameter non-uniform Distribution, there can be the multispectral gas temperature probability density in high-precision monochromatic light road point
Cloth method for reconstructing.Do not require intensity of spectral lines continuous, it is applied widely.
Background technique
Tunable diode laser absorption spectrometry technology (TDLAS) due to it quickly, it is non-intruding, sensitive, can in-site measurement it is multiple
The advantages of flow field parameter, is a kind of effective method in temperature and material concentration precise measurement field, is widely used in burning
Diagnosis, Combustion System etc., application potential is huge, and prospect is considerable.
The monochromatic light road laser absorption spectroscopy of two absorption lines is used to obtain mean temperature of the flow field along laser path
And concentration of component.If patent " a kind of TDLAS gas thermometric detection method " (patent No.: CN201510410013.0) is according to meter
Calculation machine thermometric processing software extracts two path signal zig-zag absorption peak region area, processing operation is compared, obtains
Combustion Flow Field average temperature value.The laser absorption spectroscopy of a plurality of absorption line is by solving a system of linear equations come weight
Build absorption distribution.Such as patent " device of high temperature measurement and reconstruction of temperature field based on laser absorption spectroscopy " (patent
Number: multiple detectors and a plurality of absorption line CN201320136230.1) are utilized simultaneously, by laser absorption spectroscopy and meter
Calculation machine layer scanning technology combines, and realizes the reconstruction in temperature field.
What the direct measured value of monochromatic light road laser absorption spectroscopy reflected is the mean light absorbency on path.Use two-wire
Temp measuring method is directly absorbed, the ratio between absorptivity integral of two Absorption Lines is only the function of temperature.Such as paper
“Development of a tunable diode laser sensor for measurements of gas turbine
Exhaust temperature " (Applied Physics B 82,469-478 (2006)) is in the large size for generator
It is verified in industry gas turbine, along the ratio of two water absorption line measurement absorbances of mean temperature and near infrared region of laser path
Value is converted to, and is developing multi-thread strategy to solve the problems, such as that uneven temperature is distributed.
It is distributed using laser absorption spectroscopy along the more absorption line converted measurement measurement burning gas temperatures of single-pathway,
Such as paper " Diode-laser absorption sensor for line-of-sight gas temperature
Distributions. " (2001.40 (24): p.4404.) Applied Optics is proposed using discretization technique known
Obtained in the case where temperature bound reflection temperature, the column density value of concentration distribution information, advantage be quickly, it is applied widely；
And fitting of distribution reconstruction result is more acurrate but needs known temperature distribution form.Similarly, Liu et al. proposes two kinds of measurements
Strategy, respectively curve matching and temperature classification.Such as paper " Measurement of Non-Uniform Temperature
Distributions Using Line-of-Sight Absorption Spectroscopy.”(AIAA Journal,
2007.45 (2): low temperature 300K, the two-value temperature point of high temperature 1500K p.411-419.) are realized using two kinds of measurement strategies
The reconstruction of cloth, and illustrate that, using known physical constraint, measurement accuracy can be improved by reducing freedom degree.
However, in combustion diagnosis field, in the case where Temperature Distribution is more more complicated than two Distribution values, laser when temperature classification
Path should be separated into multiple temperature sections, but this will increase the order of line intensity matrix, and further the discomfort of deterioration problem is determined
Property.Such as paper " Measurement of nonuniform temperature and concentration
distributions by combining line-of-sight tunable diode laser absorption
Spectroscopy with regularization methods. " (Appl Opt, 2013.52 (20): p.4827-42.) Liu
Smooth wait is measured using regularization method along the non-uniform Temperature Distribution of optical path and concentration distribution, and Matrix Solving is preferably improved
Pathosis problem, obtain prior information using hydrodynamic analogy or thermocouple single-point thermometric, complete temperature
The correspondence for spending case and probability density, realizes the reconstruction of parabolic type Temperature Distribution.But this is the problem is that need priori to believe
Breath.
Using TDLAS chromatography imaging technique, the projection of the optical path from several different directions can be applied to rebuild two dimension
Spatial parameter distributed image.Such as paper " Application of simulated annealing for
multispectral tomography.”(Computer Physics Communications, 2008.179(4):
P.250-255. the temperature in flow field and the Two dimensional Distribution of concentration) have been rebuild using multi-direction projection result and simulated annealing.
To obtain more projections in the case where reducing time and equipment investment, such as paper " Two-dimensional
tomography for gas concentration and temperature distributions based on
tunable diode laser absorption spectroscopy.”(Measurement Science and
2010.21 (4): p.045301.) Technology installs the laser dynamic of four rotary scannings using four platforms simultaneously
Projection information is obtained, and carries out the reconstruction of Temperature Distribution and concentration distribution using algebraic reconstruction technique.But this kind realizes temperature field
The method of reconstruction needs multiple optical windows to obtain the multiple projection measurements of multiple groups, this is for some it is not recommended that or not allowing
The system equipment for opening optical window is a limitation.
Based on background above, invent herein a kind of based on the multispectral gas temperature probability density distribution reconstruction in monochromatic light road
Method covers tested gas parameter distribution field by single light path multiline, absorptivity integration data is obtained, to construct product
Divide equation group, and is converted into matrix equation solution.On the basis of relative simplicity system structure, realizes and lack priori letter as far as possible
Breath is detected without opening multiple optical windows, limited absorbent spectral line, high-precision and high-resolution Temperature Distribution being used only.It is right
Relaxed in the requirement that spectral line is chosen, it is continuous without spectral line line intensity, it is suitable for a variety of under test gas.
Summary of the invention
For the tested region of non-homogeneous parameter distribution, to reduce optical window, the degree that simplifies that the device is complicated, the present invention is provided
One kind being based on the multispectral gas temperature probability density distribution method for reconstructing in monochromatic light road.
The technical solution adopted in the present invention is as follows:
Step 1, obtain the multiple measurement data for absorbing spectral coverage in laser monochromatic light road: multiple using a kind of gas molecule swash
Scanning wavelength is covered the multiple laser beam for absorbing spectral coverage and is divided into two bundles by light absorption spectral coverage, a branch of to pass through tested gas temperature
Distribution field is spent as absorption signal, and another beam passes through etalon as reference signal, obtains by Voigt linear fitting each
Absorb the measurement data of the corresponding absorptivity integral of spectral coverage；
Step 2, according to a kind of line intensity of multiple absorption spectral coverages of gas at different temperatures and corresponding absorptivity integral
Measurement data building solves the integral equations of tested gas temperature probability density distribution: issuing different centers using laser
The laser spectral coverage of wavelength makes laser pass through the tested gas temperature distribution field along same paths, obtains measuring signal, selects N
A corresponding absorptivity integral is used as measurement data:
Wherein, i is the number for absorbing spectral coverage, and range is the absorption spectral coverage total number from one to selection.AiRepresent i-th of suction
Receive absorptivity integral measurement data corresponding to spectral coverage.P represents the gross pressure of under test gas, and unit is an atmospheric pressure atm.L
Under test gas path length is represented, unit is a centimetre cm.T is the temperature of under test gas, and unit is Kelvin K.T1And T2Respectively
It is the lowest temperature and the upper limit of under test gas, unit is Kelvin K.Si(T) laser of i-th of absorption spectral coverage is represented in temperature T
Under line intensity value, unit is cm-2atm-1.X (T) represents temperature as the molar fraction of the gas component of T.F (T) represents temperature
T corresponds to the path score of gas.In view of in the measurements, the concentration distribution of gas component is approximately to be uniformly distributed, therefore (1) formula
It can simplify are as follows:
Integral equations are normalized in step 3: the T in (2) formula the right and left is normalized,
Normalization formula is T=u (t)=(T2-T1)/(t2-t1)×(t-t1)+T1, wherein T1、T2Gas temperature respectively to be asked is distributed
The minimum temperature and maximum temperature of field, t1、 t2Respectively normalize later minimum temperature and maximum temperature, thus obtain with
(2) expression formula of formula equivalence
Wherein A (vi), i.e. Ai, indicate absorptivity integral measurement data corresponding to i-th of absorption spectral coverage, center wave number
For vi.S (u (t), vi), i.e. Si(T), line intensity value of the laser of i-th of absorption spectral coverage at temperature T, center wave number are indicated
For vi。
Integral equations are decomposed into matrix equation by step 4, fitting of a polynomial under test gas temperature probability density distribution:
Under test gas temperature probability density distribution is expressed using polynomial form, is had
F (u (t))=d0′+d1′t+d2′t2+…+dn′tn (4)
Then obtain with the expression formula of (3) formula equivalence,
Integral equations are decomposed using multiple laser absorption spectral coverage information, are had
NoteFor column vector A, length M,
For Matrix C, size is M × (N+1),For column vector D, length N, then there is matrix equation AM×1=CM×(N+1)·
D(N+1)×1.Wherein what Matrix C reflected is the coefficient matrix that specific absorption spectral coverage is constituted；It is close that vector D represents temperature probability to be asked
Spend the fitting parameter of distribution；Vector A reflection is absorptivity integrated measurement.
Step 5, solution matrix equation acquire gas temperature probability density distribution fitting parameter: solve the linear of CD=A
Equation group, solution obtain the fitting parameter D of temperature probability density distribution to be asked, further obtain temperature probability density to be asked
The polynomial expression of distribution reflects the profiling temperatures of under test gas.
Effect of the invention: it by the multispectral measurement data in monochromatic light road, without opening multiple optical windows, simplifies and is
Integral equations are turned to matrix equation by system, are improved and are rebuild speed, the precision and resolution ratio of reconstruction parameter distributed image.?
In terms of practical application, it is suitable for a variety of under test gas, intensity of spectral lines continuity is not required.
Detailed description of the invention
Fig. 1 is single-pathway multiplex physicotherapy laser temp measuring system schematic diagram.
Fig. 2 is given original temperature probability density distribution, (a) unimodal probability density distribution；(b) bimodal probability density point
Cloth.
Fig. 3 is the simulation result that temperature probability density distribution is rebuild, (a) unimodal reconstructed results；(b) bimodal reconstructed results.
Specific embodiment
In the present embodiment, the gas that a temperature probability density distribution is Unimodal Distribution and bimodal distribution is given respectively,
By demonstrating the validity of this method to the multispectral numerical simulation in monochromatic light road.
The present invention will be further described below with reference to the drawings:
Step 1, under test gas H2O, choosing wave number is respectively 6804.342cm-1、6806.032cm-1、
7181.156cm-1、7185.597 cm-1、7444.352cm-1、7447.483cm-1、7450.932cm-17 spectral lines tested
Card emulation；
Step 2 is divided into two equal beam laser of light intensity, a branch of process through fiber optic splitter by the laser that laser issues
Region to be measured, another beam pass through etalon, receive by detector, obtain absorption signal all the way, all the way reference signal, such as institute
Show.
Step 3 obtains 7 absorption peaks within the scope of laser scans, calculates available corresponding absorptivity fraction
According to:
Wherein, i is the number of absorption line, in the present embodiment i=1,2 ... 7.AiIt is right to represent i-th absorption line institute
The absorptivity integral measurement data answered, P represent the gross pressure of under test gas, and P=1atm, L represent gas to be measured in the present embodiment
Body path length, in the present embodiment L=48cm. T1And T2It is the lowest temperature and the upper limit of under test gas respectively, in this implementation
T in example1=800K, T2=1300K.Si(T) line intensity value of i-th absorption line at temperature T, unit cm are represented- 2atm-1.F (T) is given temperature probability density distribution, in the present embodiment respectively unimodal and bimodal probability density distribution.
Integral equations are normalized in step 4: the T in (1) formula the right and left is normalized,
Normalizing formula isWherein T1、T2Gas respectively to be asked
The minimum temperature and maximum temperature of Temperature Distribution field, t1、t2Later minimum temperature and maximum temperature are respectively normalized, at this
T in embodiment1=1K, t2=4K.Thus it obtains and the expression formula of (1) formula equivalence
Wherein A (vi), i.e. Ai, indicate absorptivity integral measurement data corresponding to i-th of absorption spectral coverage, center wave number
For vi.S (u (t), vi), i.e. Si(T), line intensity value of the laser of i-th of absorption spectral coverage at temperature T, center wave number are indicated
For vi。
Integral equations are decomposed into matrix equation by step 5, fitting of a polynomial under test gas temperature probability density distribution:
Under test gas temperature probability density distribution is expressed using polynomial form, is had
F (u (t))=d0′+d1′t+d2′t2+…+d6′t6 (3)
Then obtain with the expression formula of (2) formula equivalence,
Integral equations are decomposed using multiple laser absorption spectral coverage information, are had
NoteFor column vector A, length 7,
For Matrix C, size is 7 × 7,For column vector D, length 7, then there is matrix equation A7×1=C7×7·D7×1.Wherein square
What battle array C reflected is the coefficient matrix that specific absorption spectral coverage is constituted；Vector D represents the fitting of temperature probability density distribution to be asked
Parameter；Vector A reflection is absorptivity integrated measurement.
Step 5, solution matrix equation acquire gas temperature probability density distribution fitting parameter: use broad sense least residual
Method iteratively solves the system of linear equations of CD=A, and solution obtains the fitting parameter D of temperature probability density distribution to be asked, further
To the polynomial expression of temperature probability density distribution to be asked, reflect the profiling temperatures of under test gas.
Known unimodal and bimodal probability density distribution is provided as indicated, being emulated through above-mentioned steps, as a result as indicated,
It can be seen that the temperature probability density and original distribution degree of agreement of reconstruction are preferable, and it is able to reflect profiling temperatures on path.
Above to the description of the present invention and embodiments thereof, it is not limited to which this, is only reality of the invention shown in attached drawing
Apply one of mode.Without departing from the spirit of the invention, it without creating designs similar with the technical solution
Structure or embodiment, the category scope of the present invention.
Claims (1)
1. one kind is based on the multispectral gas temperature probability density distribution method for reconstructing in monochromatic light road, method includes the following steps:
Step 1 is obtained the multiple measurement data for absorbing spectral coverage in laser monochromatic light road: being inhaled using a kind of multiple laser of gas molecule
Spectral coverage is received, scanning wavelength is covered into the multiple laser beam for absorbing spectral coverage and is divided into two bundles, it is a branch of to pass through tested gas temperature point
As absorption signal, another beam passes through etalon as reference signal for cloth field, obtains each absorption spectra by Voigt linear fitting
The measurement data of the corresponding absorptivity integral of section；
Step 2, according to a kind of line intensity of multiple absorption spectral coverages of gas at different temperatures and corresponding absorptivity integral measurement
Data building solves the integral equations of tested gas temperature probability density distribution: issuing different central wavelengths using laser
Laser spectral coverage makes laser pass through the tested gas temperature distribution field along same paths, obtains measuring signal, selects N number of correspondence
Absorptivity integral be used as measurement data:
Wherein, i is the number for absorbing spectral coverage, and range is the absorption spectral coverage total number from one to selection.AiRepresent i-th of absorption spectra
Absorptivity integral measurement data corresponding to section.P represents the gross pressure of under test gas, and unit is an atmospheric pressure atm.L is represented
Under test gas path length, unit are a centimetre cm.T is the temperature of under test gas, and unit is Kelvin K.T1And T2It is to be measured respectively
The lowest temperature and the upper limit of gas, unit are Kelvin K.Si(T) line of the laser of i-th of absorption spectral coverage at temperature T is represented
Intensity value, unit are cm-2atm-1.X (T) represents temperature as the molar fraction of the gas component of T.F (T) represents temperature T and corresponds to gas
The path score of body.In view of in the measurements, the concentration distribution of gas component is approximately to be uniformly distributed, therefore (1) formula can simplify are as follows:
Integral equations are normalized in step 3: the T in (2) formula the right and left being normalized, normalizing
Change formula is T=u (t)=(T2-T1)/(t2-t1)×(t-t1)+T1, wherein T1、T2Gas temperature distribution field respectively to be asked
Minimum temperature and maximum temperature, t1、t2Later minimum temperature and maximum temperature are respectively normalized, thus obtain with (2) formula etc.
The expression formula of valence
Wherein A (vi), i.e. Ai, indicate absorptivity integral measurement data corresponding to i-th of absorption spectral coverage, center wave number vi。
S(u(t),vi), i.e. Si(T), line intensity value of the laser of i-th of absorption spectral coverage at temperature T, center wave number v are indicatedi。
Integral equations are decomposed into matrix equation by step 4, fitting of a polynomial under test gas temperature probability density distribution: being used
Polynomial form expresses under test gas temperature probability density distribution, has
F (u (t))=d0′+d1′t+d2′t2+…+dn′tn (4)
Then obtain with the expression formula of (3) formula equivalence,
Integral equations are decomposed using multiple laser absorption spectral coverage information, are had
NoteFor column vector A, length M,
For Matrix C, size is M × (N+1),For column vector D, length N, then there is matrix equation AM×1=CM×(N+1)·
D(N+1)×1.Wherein what Matrix C reflected is the coefficient matrix that specific absorption spectral coverage is constituted；It is close that vector D represents temperature probability to be asked
Spend the fitting parameter of distribution；Vector A reflection is absorptivity integrated measurement.
Step 5, solution matrix equation acquire gas temperature probability density distribution fitting parameter: solve the linear equation of CD=A
Group, solution obtain the fitting parameter D of temperature probability density distribution to be asked, further obtain temperature probability density distribution to be asked
Polynomial expression reflects the profiling temperatures of under test gas.
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