CN106290097A - Apparatus for measuring dust concentration and method - Google Patents

Apparatus for measuring dust concentration and method Download PDF

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Publication number
CN106290097A
CN106290097A CN201610821423.9A CN201610821423A CN106290097A CN 106290097 A CN106290097 A CN 106290097A CN 201610821423 A CN201610821423 A CN 201610821423A CN 106290097 A CN106290097 A CN 106290097A
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path
dust
photodiode
light
coupling optical
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CN106290097B (en
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宁齐山
李雪鹏
陆宁
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Guangdong Yingfeng Technology Co.,Ltd.
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Universtar Science and Technology Shenzhen Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
    • G01N15/06Investigating concentration of particle suspensions
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
    • G01N15/06Investigating concentration of particle suspensions
    • G01N15/075Investigating concentration of particle suspensions by optical means

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Abstract

The present invention is applicable to dust concentration processing means technical field, the apparatus for measuring dust concentration provided is provided with the dust path for air turnover, and includes light source, collimated light path, the first coupling optical path, the first photodiode, the second coupling optical path and the second photodiode;The emergent light that light source sends is incident to the first photodiode through the first coupling optical path and is incident to the second photodiode through the second coupling optical path, processes the signal on the first photodiode and the second photodiode and comparison calculate the scattered light intensity of light source.This apparatus for measuring dust concentration is by arranging the dust path for air turnover, so that Real-time Collection dust in air and measurement dust concentration, light scattering principle is utilized to calculate scattered light intensity, and utilize scattered light intensity and dust concentration relation to obtain the dust concentration in dust path, simple in construction, is advantageously implemented dust measurement and the control of automatization.

Description

Apparatus for measuring dust concentration and method
Technical field
The invention belongs to dust concentration processing means technical field, particularly relate to a kind of apparatus for measuring dust concentration and adopt The method carrying out powder concentration measurement with this apparatus for measuring dust concentration.
Background technology
Traditional measuring concentration of granules in certain uses weight method and β ray method.Weight method is as standard method of measurement, tool There is accurate, stable feature of measuring, but its measurement time cycle is long, and be manual measurement, there is certain incidental error;β Ray method is by filter paper by ash-laden gas, collects grit, then with β roentgenization filter paper, by measuring Beta-ray attenuation Determine the quality of grit, and then determine the mass concentration of tested dust.Both the above method is required for being collected dust, There is certain consumptive material, increase maintenance and maintenance cost.
Summary of the invention
It is an object of the invention to provide a kind of light scattering method dust concentration processing means, it is intended to solve powder in prior art Dust concentration needs to be collected dust and cannot be carried out the technical problem measured in real time in measuring.
The present invention is achieved in that a kind of apparatus for measuring dust concentration, is provided with the dust path for air turnover, described Light scattering method apparatus for measuring dust concentration includes that light source is vertical with described dust path and communicates so that the emergent light of described light source leads to The first coupling optical path that the collimated light path crossed is the most vertical with described dust path and described collimated light path to be communicated, be arranged at described First photodiode of the first coupling optical path end and described collimated light path and described first coupling optical path intersect at described powder Second coupling optical path of dirt path and be arranged at the second photodiode of described second coupling optical path end;Described light source is sent out The described emergent light gone out injects described dust path with directional light or collimated light path focuses on described through described collimated light path On the axis of dust path, and it is incident to described first photodiode and through described second coupling through described first coupling optical path Close light path and be incident to described second photodiode, to the letter on described first photodiode and described second photodiode Number carry out processing and comparison calculate the scattered light intensity of described light source.
Further, the angular range between described second coupling optical path and described collimated light path is 110 °~160 °.
Preferably, the angle between described second coupling optical path and described collimated light path is 120 °.
Further, described apparatus for measuring dust concentration also includes being electrically connected with and fixing with described first photodiode Install first circuit board and with described second photodiode be electrically connected with and hard-wired second circuit board.
Further, described apparatus for measuring dust concentration also include the first support fixedly mounting described first circuit board with And fixedly mount the second support of described second circuit board.
Further, described apparatus for measuring dust concentration also includes being arranged in described collimated light path and be positioned at described dust Collimator lens assembly between path and described light source, be arranged in described first coupling optical path and be positioned at described dust path and The first planoconvex lens group between described first photodiode and be arranged in described second coupling optical path and be positioned at described powder The second planoconvex lens group between dirt path and described second photodiode.
Present invention also offers a kind of powder concentration measurement method, use above-mentioned apparatus for measuring dust concentration to dust concentration Measure, and comprise the following steps:
Dust path for air turnover is set;
Light source is exposed in identical collimated light path vertical with described dust path, and through the collimation of described collimated light path Process so that the emergent light of described light source is parallel is incident to described dust path or focuses on the axis of described dust path;
Enter the emergent light of described dust path to communicate through intersecting with described dust path under dust granules scattering process The first coupling optical path and the second coupling optical path be incident to correspondence the first photodiode and the second photodiode on;
The light intensity signal received on described first photodiode and described second photodiode is processed and compares Right, and calculate the scattered light intensity of described light source;
Dust concentration is calculated according to calculated scattered light intensity.
Further, according to the Mie scattered light intensity formula of single dust granules:
Calculate described first photodiode and scattered light intensity that described second photodiode is respectively received;
In above-mentioned formula, I0For output intensity, λ is optical wavelength, and r is the first photodiode or described second photoelectricity two Distance between pole pipe and dust granules, m is refractive index, θ angle of scattering, and α=π D/ λ is dimensional parameters, and D is the straight of dust granules Footpath, i1(α, m, θ) and i2(α, m, θ) is the scattered light intensity function about dimensional parameters α, refractive index m and scatteringangleθ.
Further, the scattering received according to described first photodiode calculated and described second photodiode Light intensity contrasts, and contrast equation is:Wherein, order n is from 1~∞ change, θ1And θ2It is that emergent light is in described first photodiode and the angle of scattering of described second photodiode, angle of scattering function respectively πn(cos θ) and τn(cos θ) is two constants, and
π n + 1 ( c o s θ ) = c o s θ 2 n + 1 n π n ( c o s θ ) - n + 1 n π n - 1 ( c o s θ ) ,
τn(cos θ)=n cos θ. πn(cosθ)-(n+1)πn-1(cosθ);
The maximum of n is gone out by recursive calculation, and according to nmax=α+4 α1/3+ 2 calculate size parameter alpha, utilize D=α λ/ π calculates the diameter of dust granules, and wherein, λ is optical wavelength.
The present invention relative to prior art have the technical effect that this apparatus for measuring dust concentration by arrange for air pass in and out Described dust path, in order to Real-time Collection dust in air and measure dust concentration, set described collimated light path, described First coupling optical path and described second coupling optical path intersect at described dust path, and described light source is incident to through described collimated light path Dust path, and scattered to described first photodiode and described by described first coupling optical path and described second coupling optical path On second photodiode, utilize light scattering principle to calculate scattered light intensity, and utilize scattered light intensity to obtain with dust concentration relation Dust concentration in dust path, simple in construction, it is advantageously implemented dust measurement and the control of automatization.
Accompanying drawing explanation
In order to be illustrated more clearly that the technical scheme of the embodiment of the present invention, below will be to the embodiment of the present invention or prior art In description, the required accompanying drawing used is briefly described, it should be apparent that, drawings described below is only the present invention's Some embodiments, for those of ordinary skill in the art, on the premise of not paying creative work, it is also possible to according to this A little accompanying drawings obtain other accompanying drawing.
Fig. 1 is the structure chart that the embodiment of the present invention provides apparatus for measuring dust concentration;
Fig. 2 is the partial sectional view of apparatus for measuring dust concentration in Fig. 1;
Fig. 3 be in Fig. 1 apparatus for measuring dust concentration in the sectional view in a direction;
Fig. 4 be in Fig. 1 apparatus for measuring dust concentration in the sectional view of other direction.
Description of reference numerals:
10 dust path 36 first supports
20 light source 38 first planoconvex lens groups
22 collimated light path 40 second coupling optical path
24 collimator lens assembly 42 second photodiodes
30 first coupling optical path 44 second circuit boards
32 first photodiode 46 second supports
34 first circuit board 48 second planoconvex lens groups
Detailed description of the invention
In order to make the purpose of the present invention, technical scheme and advantage clearer, below in conjunction with drawings and Examples, right The present invention is further elaborated.Should be appreciated that specific embodiment described herein only in order to explain the present invention, and It is not used in the restriction present invention.
Refer to Fig. 1 to Fig. 4, the apparatus for measuring dust concentration that the embodiment of the present invention provides is provided with the dust for air turnover Path 10, described light scattering method apparatus for measuring dust concentration includes that light source 20 is vertical with described dust path 10 and communicates so that institute State that collimated light path 22 that the emergent light of light source 20 passes through is the most vertical with described dust path 10 and described collimated light path 22 to be communicated First coupling optical path 30, the first photodiode 32 being arranged at described first coupling optical path 30 end and described collimated light path 22 and described first coupling optical path 30 intersect at the second coupling optical path 40 of described dust path 10 and be arranged at described second Second photodiode 42 of coupling optical path 40 end;The described emergent light that described light source 20 sends through described collimated light path 22 with Directional light injects described dust path 10 or collimated light path 22 focuses on the axis of described dust path 10, and through described First coupling optical path 30 is incident to described first photodiode 32 and is incident to described through described second coupling optical path 40 Two photodiodes 42, the signal on described first photodiode 32 and described second photodiode 42 is carried out process and Comparison also calculates the scattered light intensity of described light source 20.
The apparatus for measuring dust concentration that the embodiment of the present invention provides supplies the described dust path 10 of air turnover by arranging, So that Real-time Collection dust in air and measurement dust concentration, set described collimated light path 22, described first coupling optical path 30 and described second coupling optical path 40 intersect at described dust path 10, described light source 20 is incident to powder through described collimated light path 22 Dirt path 10, dust is by the emergent light scattering after described collimation path processes, and by described first coupling optical path 30 and described Second coupling optical path 40 scatters to, on described first photodiode 32 and described second photodiode 42, utilize light scattering former Reason calculates scattered light intensity, and utilizes scattered light intensity and dust concentration relation to obtain the dust concentration in dust path 10, structure letter Single, it is advantageously implemented dust measurement and the control of automatization.
In this embodiment, described light source 20 is semiconductor laser light source 20, and its light sent is through described collimated light path 22 parallel inject described dust path 10 or on the axis that described collimated light path 22 focuses on described dust path 10, described Focus is positioned on the intersection point of described dust path 10 axis and described collimation path axis.
In this embodiment, described first coupling optical path 30, described collimated light path 22 and the vertical phase of described dust path 10 Hand over, and intersection point is described first coupling optical path 30, described collimated light path 22 and the intersection point of described dust path 10 axis, described the Two coupling optical path 40 intersect with described first coupling optical path 30, and described first coupling optical path 30, described second coupling optical path 40 In the same plane in the section of axis with described collimated light path 22.
Refer to Fig. 4, further, the angular range between described second coupling optical path 40 and described collimated light path 22 is 110 °~160 °.By arranging described second coupling optical path 40 angle between described collimated light path 22 to determine described dust Scattering angle to described emergent light, its scattering angle and described second coupling optical path 40 and the angle phase of described collimated light path 22 With.Preferably, the angle between described second coupling optical path 40 and described collimated light path 22 is 120 °.
Refer to Fig. 2 to Fig. 4, further, described apparatus for measuring dust concentration also includes and described first photoelectricity two pole Pipe 32 is electrically connected with and hard-wired first circuit board 34 and being electrically connected with described second photodiode 42 and fixing The second circuit board 44 installed.By arranging described first circuit board 34 and described second circuit board 44 to calculate institute by electricity State the first photodiode 32 and the scattered light intensity of described second photodiode 42 reception, thus record dust concentration.Operation Simply, only need to can be completed collection and the transmission of dust concentration by electrical measurement, be conducive to improving sampling efficiency, and be beneficial to real The powder concentration measurement of existing automatization and control.
In this embodiment, described first circuit board 34 is perpendicular to the axis of described first coupling optical path 30, so that through institute State on light vertical incidence extremely described first photodiode 32 of the first coupling optical path 30 scattering, similarly, described second circuit Plate 44 is perpendicular to the axis of described second coupling optical path 40 so that through described second coupling optical path 40 scattering light vertical incidence extremely On described second photodiode 42, so can be greatly reduced scattered light intensity loss, improve certainty of measurement.
Refer to Fig. 1, further, described apparatus for measuring dust concentration also includes fixedly mounting described first circuit board 34 The first support 36 and fixedly mount the second support 46 of described second circuit board 44.By arrange described first support 36 with Fixedly mount described first circuit board 34 and described second support 46 is set to fixedly mount described second circuit board 44, to protect Demonstrate,prove described first photodiode 32 and the Stability Analysis of Structures of described second photodiode 42 and angle is fixed, thus improve measurement Precision.
Refer to Fig. 2 to Fig. 4, further, described apparatus for measuring dust concentration also includes being arranged at described collimated light path Collimator lens assembly 24 in 22 and between described dust path 10 and described light source 20, it is arranged at described first coupling light The first planoconvex lens group 38 in road 30 and between described dust path 10 and described first photodiode 32 and setting In described second coupling optical path 40 and between described dust path 10 and described second photodiode 42 second is flat Convex lens group 48.Carry out collimation process by arranging collimator lens assembly 24 with the light sent by light source 20, make light source 20 send Along collimating, path is parallel is incident to described dust path 10 to light, and it is parallel that light source 20 is sent by the dust granules in dust path 10 Light scattering is to described first coupling optical path 30 and described second coupling optical path 40, through described first planoconvex lens group 38 and described second Planoconvex lens group 48 is transmitted through described first photodiode 32 and described second photodiode 42, thus records through dust granules The light intensity of the light of scattering, and calculate dust concentration, simple in construction, user according to the relation of scattered light intensity Yu dust concentration Just.
Refer to Fig. 1 to Fig. 4, the powder concentration measurement method that the embodiment of the present invention provides uses above-mentioned powder concentration measurement Dust concentration is measured by device, and comprises the following steps:
Dust path 10 for air turnover is set;
Light source 20 is exposed in identical collimated light path 22 vertical with described dust path 10, and through described collimated light path The collimation of 22 processes so that the emergent light of described light source 20 is parallel is incident to described dust path 10 or focuses on described dust On the axis of path 10;
The emergent light warp under dust granules scattering process entering described dust path 10 intersects with described dust path 10 The first coupling optical path 30 communicated and the second coupling optical path 40 are incident to the first photodiode 32 and the second photoelectricity two of correspondence On pole pipe 42;
The light intensity signal received on described first photodiode 32 and described second photodiode 42 is processed And comparison, and calculate the scattered light intensity of described light source 20;
Dust concentration is calculated according to calculated scattered light intensity.
The powder concentration measurement method that the embodiment of the present invention provides supplies the described dust path 10 of air turnover by arranging, So that Real-time Collection dust in air and measurement dust concentration, set described collimated light path 22, described first coupling optical path 30 and described second coupling optical path 40 intersect at described dust path 10, described light source 20 is incident to powder through described collimated light path 22 Dirt path 10, dust is by the emergent light scattering after described collimation path processes, and by described first coupling optical path 30 and described Second coupling optical path 40 scatters to, on described first photodiode 32 and described second photodiode 42, utilize light scattering former Reason calculates scattered light intensity, and utilizes scattered light intensity and dust concentration relation to obtain the dust concentration in dust path 10, structure letter Single, it is advantageously implemented dust measurement and the control of automatization.
In this embodiment, described light source 20 is semiconductor laser light source 20, and its light sent is through described collimated light path 22 parallel inject described dust path 10 or on the axis that described collimated light path 22 focuses on described dust path 10, described Focus is positioned on the intersection point of described dust path 10 axis and described collimation path axis.
In this embodiment, described first coupling optical path 30, described collimated light path 22 and the vertical phase of described dust path 10 Hand over, and intersection point is described first coupling optical path 30, described collimated light path 22 and the intersection point of described dust path 10 axis, described the Two coupling optical path 40 intersect with described first coupling optical path 30, and described first coupling optical path 30, described second coupling optical path 40 In the same plane in the section of axis with described collimated light path 22.
Further, according to the Mie scattered light intensity formula of single dust granules: Calculate described first photodiode 32 and scattered light intensity that described second photodiode 42 is respectively received;
In above-mentioned formula, I0For output intensity, λ is optical wavelength, and r is the first photodiode 32 or described second photoelectricity Distance between diode 42 and dust granules, m is refractive index, θ angle of scattering, and α=π D/ λ is dimensional parameters, and D is dust granules Diameter, i1(α, m, θ) and i2(α, m, θ) is the scattered light intensity function about dimensional parameters α, refractive index m and scatteringangleθ.
Specifically, scattered light intensity function is:
i 1 ( α , m , θ ) = | S 1 ( θ ) | 2 = Σ n = 1 ∞ 2 n + 1 n ( n + 1 ) [ a n π n ( c o s θ ) + b n τ n ( c o s θ ) ] ;
i 2 ( α , m , θ ) = | S 2 ( θ ) | 2 = Σ n = 1 ∞ 2 n + 1 n ( n + 1 ) [ a n τ n ( c o s θ ) + b n π n ( c o s θ ) ] .
Wherein, S1(θ) and S2(θ) the perpendicular and parallel scattered amplitude function that hangs down is represented respectively.
Owing to the angle of scattering of scattering module has been fixed, so angle of scattering function πn(cos θ) and τn(cos θ) be two often Amount, andAnd
Wherein, PnIt is Legendre (Legendre) function,Represent single order Legendre function.
Further, receive according to described first photodiode 32 calculated and described second photodiode 42 Scattered light intensity contrasts, and contrast equation is:Wherein, order n is to become from 1~∞ Change, θ1And θ2It is that emergent light is in described first photodiode 32 and the angle of scattering of described second photodiode 42, scattering respectively Angle function πn(cos θ) and τn(cos θ) is two constants, and
π n + 1 ( c o s θ ) = c o s θ 2 n + 1 n π n ( c o s θ ) - n + 1 n π n - 1 ( c o s θ ) ,
τn(cos θ)=n cos θ. πn(cosθ)-(n+1)πn-1(cosθ);
The maximum of n is gone out by recursive calculation, and according to nmax=α+4 α1/3+ 2 calculate size parameter alpha, utilize D=α λ/ π calculates the diameter of dust granules, and wherein, λ is optical wavelength.
Above-mentioned angle of scattering function can have low order toward high-order recursion, and its recurrence formula is as follows:
π n + 1 ( c o s θ ) = c o s θ 2 n + 1 n π n ( c o s θ ) - n + 1 n π n - 1 ( c o s θ )
τn(cos θ)=nS-πn-1(cosθ)
S=cos θ πn(cosθ)-πn-1(cosθ)
By initial value π0=0, π1=1 brings into, it is possible to obtain the angle of scattering function of each order.Wherein, anAnd bnIt is relevant The function of m and α, according to computing formula, finally can about fall, and is here not added with discussing.
Order n is from 1~∞ change, but the experience father-in-law's formula proposed according to Bohren and Huffman, have:
nmax=α+4 α1/3+2
The scattered light intensity comparison result received according to above-mentioned first photodiode 32 and described second photodiode 42 Dimensional parameters α can be calculated.
In the scattered light intensity comparison company that described first photodiode 32 and described second photodiode 42 receive, This powder concentration measurement method can obtain two different light intensity signals in real time, at initial value π0=0, π1Condition known to=1 Under, above formulaRight side is a function about n, therefore, it can by recurrence, meter Calculate the maximum of n, by nmax=α+4 α1/3+ 2 can calculate dimensional parametersαValue, calculate the diameter D=α of dust granules λ/π。
The powder concentration measurement method that the embodiment of the present invention provides is by being passed through variable concentrations in described dust path 10 Dust, the light intensity value under different dusts concentration conditions can be obtained, at the first coupling optical path 30 and described second coupling light source Two light intensity obtained on angle between 20 and described collimated light path 22 respectively 90 ° and 120 °, can respectively obtain two The different calibration curves about scattered light intensity Yu dust concentration, and release dust concentration according to scattered light intensity is counter.
When actual measurement of concetration, two concentration values that inverting obtains contrast, and two concentration values obtained relatively connect Time near, it is believed that measurement result is accurate;The concentration value difference obtained is relatively big, described apparatus for measuring dust concentration need to be carried out blowback, It is retained in the dust in dust path 10, described first coupling optical path 30 and described second coupling optical path 40 to remove.
The foregoing is only presently preferred embodiments of the present invention, not in order to limit the present invention, all essences in the present invention Any amendment, equivalent and the improvement etc. made within god and principle, should be included within the scope of the present invention.

Claims (9)

1. an apparatus for measuring dust concentration, it is characterised in that be provided with the dust path for air turnover, described light scattering method powder Dust concentration measurement apparatus includes that light source is vertical with described dust path and communicates so that the collimated light that passes through of the emergent light of described light source The first coupling optical path that road is the most vertical with described dust path and described collimated light path to be communicated, it is arranged at described first coupling light First photodiode of road end and described collimated light path and described first coupling optical path intersect at the of described dust path Two coupling optical path and be arranged at the second photodiode of described second coupling optical path end;Described light source goes out described in sending Penetrate light and inject described dust path with directional light or collimated light path focuses on described dust path through described collimated light path On axis, and it is incident to described first photodiode and through described second coupling optical path incidence through described first coupling optical path To described second photodiode, the signal on described first photodiode and described second photodiode is processed With comparison the scattered light intensity that calculates described light source.
2. apparatus for measuring dust concentration as claimed in claim 1, it is characterised in that described second coupling optical path and described collimation Angular range between light path is 110 °~160 °.
3. apparatus for measuring dust concentration as claimed in claim 2, it is characterised in that described second coupling optical path and described collimation Angle between light path is 120 °.
4. apparatus for measuring dust concentration as claimed in claim 1, it is characterised in that also include and described first photodiode It is electrically connected with and hard-wired first circuit board and be electrically connected with described second photodiode and hard-wired the Two circuit boards.
5. apparatus for measuring dust concentration as claimed in claim 4, it is characterised in that also include fixedly mounting described first circuit First support of plate and fixedly mount the second support of described second circuit board.
6. apparatus for measuring dust concentration as claimed in claim 1, it is characterised in that also include being arranged in described collimated light path And collimator lens assembly between described dust path and described light source, be arranged in described first coupling optical path and be positioned at The first planoconvex lens group between described dust path and described first photodiode and be arranged at described second coupling optical path In and the second planoconvex lens group between described dust path and described second photodiode.
7. a powder concentration measurement method, it is characterised in that use the dust as described in claim 1 to 6 any one dense Dust concentration is measured by degree measurement apparatus, and comprises the following steps:
Dust path for air turnover is set;
Light source is exposed in identical collimated light path vertical with described dust path, and through the collimation process of described collimated light path It is incident to described dust path so that the emergent light of described light source is parallel or focuses on the axis of described dust path;
Enter the emergent light of described dust path under dust granules scattering process through intersecting the communicated with described dust path One coupling optical path and the second coupling optical path are incident on the first photodiode and second photodiode of correspondence;
The light intensity signal received on described first photodiode and described second photodiode is processed and comparison, and Calculate the scattered light intensity of described light source;
Dust concentration is calculated according to calculated scattered light intensity.
8. powder concentration measurement method as claimed in claim 7, it is characterised in that scatter according to the Mie of single dust granules Formula:
Calculate described first photodiode and scattered light intensity that described second photodiode is respectively received;
In above-mentioned formula, I0For output intensity, λ is optical wavelength, and r is the first photodiode or described second photodiode And the distance between dust granules, m is refractive index, θ angle of scattering, and α=π D/ λ is dimensional parameters, and D is the diameter of dust granules, i1 (α, m, θ) and i2(α, m, θ) is the scattered light intensity function about dimensional parameters α, refractive index m and scatteringangleθ.
9. powder concentration measurement method as claimed in claim 7, it is characterised in that according to described first photodiode calculated The scattered light intensity received with described second photodiode contrasts, and contrast equation is: Wherein, order n is from 1~∞ change, θ1And θ2It is emergent light respectively in described first photodiode and described The angle of scattering of the second photodiode, angle of scattering function πn(cos θ) and τn(cos θ) is two constants, andτn(cos θ)=ncos θ. πn(cosθ)-(n+1)πn-1(cosθ);
The maximum of n is gone out by recursive calculation, and according to nmax=α+4 α1/3+ 2 calculate size parameter alpha, utilize D=α λ/π meter Calculating the diameter of dust granules, wherein, λ is optical wavelength.
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