CN107179289A - Uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke - Google Patents

Uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke Download PDF

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CN107179289A
CN107179289A CN201710295395.6A CN201710295395A CN107179289A CN 107179289 A CN107179289 A CN 107179289A CN 201710295395 A CN201710295395 A CN 201710295395A CN 107179289 A CN107179289 A CN 107179289A
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uncertainty
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measurement
industrial smoke
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朱永宏
闫继伟
路兴杰
赵芳
谷田平
张柯
段云
刘秀刚
冯鑫
张朋
陈飞
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Henan Institute of Metrology
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    • G01N21/17Systems in which incident light is modified in accordance with the properties of the material investigated
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    • G01N21/35Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry using infrared light
    • G01N21/3504Investigating relative effect of material at wavelengths characteristic of specific elements or molecules, e.g. atomic absorption spectrometry using infrared light for analysing gases, e.g. multi-gas analysis

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Abstract

The invention discloses a kind of uncertainty analysis method of gas concentration lwevel in industrial smoke based on infrared spectroscopic determination.This method comprises the following steps:(1) carbon dioxide measuring system is built to CO in industrial smoke2Concentration is measured;(2) determine that uncertainty is originated:The standard uncertainty that repetition measurement is introduced, the standard uncertainty that linear regression is introduced, the standard uncertainty that calibrating gas is introduced, the standard uncertainty that apparatus measures are introduced, the standard uncertainty that intercept is introduced, the standard uncertainty that slope is introduced;(3) relative standard uncertainty is synthesized;(4) relative expanded uncertainty is synthesized.This method analyzes the partial uncertainty that systematic error and random error are introduced comprehensively during analyzing and evaluating uncertainty, and finally gives carbon dioxide concentration measurement uncertainty in industrial smoke.Related data is accurately credible, and reliable method foundation is provided for the metering of industrial smoke carbon emission.

Description

Uncertainty based on gas concentration lwevel in infrared spectroscopic determination industrial smoke point Analysis method
Technical field
The invention belongs to carbon dioxide content detection technique field in industrial smoke, and in particular to one kind is based on infrared spectrum Method determines the uncertainty analysis method of gas concentration lwevel in industrial smoke.
Technical background
As developing country maximum in the world, China is also coal production maximum in the world and consumption state.Coal is at me The primary energy of state occupies main status in constituting, all kinds of burners, industry and commercial boiler can in using coal-fired process Substantial amounts of flue gas is released, and the CO2 emission in flue gas is then the main inducing of greenhouse effects, and ecological environment is constituted Serious threat.2008, global carbon dioxide discharge capacity reached 29,200,000,000 tons, and wherein China reaches 6,000,000,000 tons.Therefore, it is right Carbon dioxide content in flue gas be monitored be environmental monitoring work an importance, by carbon dioxide in flue gas The analysis of content can grasp the carbon dioxide regularity of distribution and monitoring energy consumption index situation of change.
According to State Council《" 13 " monitor greenhouse gas emission programme of work》Target:To the year two thousand twenty, the life of the unit country Produce total value CO2 emission and declined 18% than 2015, total carbon emission will be effectively controlled.There is presently no build for China CO2 emissions directly measure standard of tracing to the source online in vertical perfect industrial smoke, between smoke carbon dioxide discharge capacity is mostly Connect by Coal-fired capacity measuring and calculating and indirectly measurement, because there is shortcoming in the mass measurement of coal, result that computational methods are obtained and The difference average value of correct result is 17%, and all minus deviation, and acquired results and actual conditions differ greatly, calculating side The data precision that method is obtained can not meet the exact requirements of carbon transaction.If dense carbon dioxide in industrial smoke can be measured accurately Degree, directly calculates total carbon emission in conjunction with fume emission flow, greenhouse gas emission metering and monitoring system will be built Vertical produce greatly helps.
The method of carbon dioxide concentration measurement mainly has chemical method, electrochemical process, gas chromatography, volumetric precipitation method etc., There is cost height, the online high-volume low defect of the poor for applicability, degree of accuracy in such method.At present there is not yet measurement range it is wide, Response time is short, the degree of accuracy is high, strong antijamming capability, is adapted to gas concentration lwevel in the industrial smoke of online big flow detection and examines Survey method.
Infrared spectrum technology be it is a kind of it is simple and convenient, analysis is quick, do not destroy the new analytical technology of sample, it can be same When determine a variety of chemical compositions and physical parameter in sample, analysis result is accurately and reliably.Infrared point of FT-NIR IGS gases Analysis system has high gas detection sensitivity and wide applicability (can be worked under high temperature and high humidity environment), detects model Enclose width, be swift in response, be adapted to industry spot and analyzed online with side line.And uncertainty is that the tested value of embodiment is rationally dispersed, It is the parameter being associated with measurement result, is the important indicator of contemporary error theory quantitative description measurement result quality.Therefore, originally Dioxide component ir data sample in the industrial smoke that application passes through foundation, founding mathematical models, analysis are uncertain Degree source, calculates uncertainty of the carbon dioxide in the range of actual industrial smoke emissioning concentration, is the industrial cigarette of Erecting and improving CO2 emissions directly metering traces to the source standard there is provided method foundation in gas.
The content of the invention
In order to achieve the above object, it is based on carbon dioxide in infrared spectroscopic determination industrial smoke the invention provides one kind (CO2) concentration uncertainty analysis method.This method can determine carbon dioxide (CO in industrial smoke2) measurement of concetration is true Surely the main source spent, takes measures for main source, could further improve carbon dioxide (CO2) measurement accuracy, be Carbon emission accurate measurement provides reliable method.
The present invention is achieved by the following technical solutions
The uncertainty analysis method of gas concentration lwevel, this method in a kind of industrial smoke based on infrared spectroscopic determination Comprise the following steps:
1) CO in industrial smoke is built2Concentration measurement system;
2) use step 1) described in CO2Concentration measurement system is to CO in industrial smoke2Concentration is measured, and step is as follows:
1. use step 1) build system to a series of known CO2The simulation industrial smoke of standard gas concentration is carried out Measurement, according to CO in simulation industrial smoke2The series concentration content and its corresponding measurement result of calibrating gas set up standard work Make curve, and standard fit working curve y=a+bx is obtained through over-fitting;
In formula, y:Metering absorbs peak area (PA*S);x:Gas concentration lwevel (vol.%);a:The intercept of regression equation; b:The slope of regression equation;
2. gathers actual industrial flue gas, using step 1) constructed by system measure, it is and 1. described according to step Standard fit working curve obtains CO in industrial smoke to calculate2The measured value of concentration;
Described simulation industrial smoke:Refer to using actual industrial carbon dioxide in flue gas levels as foundation, using many Plant calibrating gas and use CO2Concentration measurement system control calibrating gas flow, be formulated as it is identical with industrial smoke composition, contain The close mixed gas of amount, prepares a series of known CO2The simulation industrial smoke mixed gas of standard gas concentration;Then use Step 1) build system measure, pass through known serial CO2Standard gas concentration and its corresponding measurement result are built Vertical standard working curve;
3) CO in statistics influence measurement industrial smoke2Every partial uncertainty of concentration measurement,
CO in industrial smoke2Concentration measurement C combined standard uncertainty u (C) and its variance is as follows:
Wherein, propagation coefficient
In above-mentioned formula, u (C):Represent CO2The combined standard uncertainty of assay;u(y):Represent metering absworption peak The standard uncertainty that area change is introduced;u(a):Represent the standard uncertainty that intercept is introduced;u(b):Represent that slope is introduced Standard uncertainty;Represent that repeatedly measurement gained absorbs the average value of peak area;uR:Represent the mark that repetition measurement is introduced Quasi- uncertainty;u1:Represent the standard uncertainty that linear regression is introduced;u2:Represent CO2The standard that calibrating gas is introduced is not true Fixed degree;u3:Represent the standard uncertainty that apparatus measures are introduced;
It can obtain, CO in influence measurement industrial smoke2The items of concentration measurement do not know component:
(1)uR:The standard uncertainty that repetition measurement is introduced;
(2)u1:The standard uncertainty that linear regression is introduced;
(3)u2:CO2The standard uncertainty that calibrating gas is introduced;
(4)u3:The standard uncertainty that apparatus measures are introduced;
(5)u(a):The standard uncertainty that intercept is introduced;
(6)u(b):The standard uncertainty that slope is introduced;
4) relative standard uncertainty is synthesized
Combined standard uncertainty
It can obtain, synthesize relative standard uncertainty
5) relative expanded uncertainty
Spreading factor k=2 is taken, then CO in industrial smoke2Measurement of concetration is with respect to expanded uncertainty Urel=2 × urel(C)。
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke, step 1) CO in the industrial smoke described in2Concentration measurement system includes calibrating gas storage tank, is deposited by ventilation line with calibrating gas The gas that storage tank is connected mixes heating bath, and infrared point of the IGS gases that heating bath is connected are mixed by gas line and gas Analyzer, described IGS gases infrared spectrum analyser is electrically connected with the signal input part of data acquisition device;In the industrial smoke CO2Concentration measurement system also include flue gas generation system, the sampling gun being connected with flue gas generation system, by ventilation line with The dust filter unit that sampling gun is connected, the condenser being connected by ventilation line with dust filter unit, passes through ventilation line The sampling pump being connected with condenser, the gas being connected by ventilation line with sampling pump mixes heating bath;Described industry CO in flue gas2Concentration measurement system also includes controller;
Described calibrating gas storage tank gas outlet is provided with gas mass flow gauge, and described gas mixes heating Pond and connection gas mix heating bath and cladding is provided with heat tape in the ventilation line of IGS gas infrared spectrum analysers; Described gas mass flow gauge and heat tape are electrically connected with the signal output part of controller.
Described gas, which mixes heating bath, to be included being filled with cylindrical shell and the cylindrical shell rear end of bulk steel wire lump Rear gas chamber, in described rear gas chamber axially pivot joint be provided with disturbance impeller and including being located at the expansion arc at two ends and being located in The contraction section in portion, is sufficiently mixed so that air-flow expands compressed transform realization by swift current;After corresponding with contraction section Heating muff is provided with gas chamber outer wall, provided with heating medium and electrical heating wire between the heating muff and rear gas chamber's outer wall.
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke, step 2) the use step 1) CO2Concentration measurement system is to CO in industrial smoke2Concentration is measured, and step is as follows:
A. according to step 1) build CO2Concentration measurement system, measures a series of known CO2The simulation of standard gas concentration Industrial smoke calibrating gas, the CO of each concentration2Calibrating gas obtains corresponding measurement result, after measuring, root respectively According to known CO in simulation industrial smoke2Standard gas concentration and its corresponding measurement result set up standard working curve;
B. the regression equation of standard working curve described in least square method calculation procedure a is used:Y=a+bx;Through fitting meter Calculate:A=0.0254;B=1.25501;R=0.99965;Produce standard fit working curve regression equation:Y=a+bx= 0.0254+1.25501x;
In formula, y:Metering absorbs peak area (PA*S);x:Gas concentration lwevel (vol.%);a:The intercept of regression equation; b:The slope of regression equation;
C. actual industrial flue gas is gathered, using step 1) constructed by system measure, and the mark according to step b Quasi- fitting operations curve obtains CO in industrial smoke to calculate2The measured value of concentration.
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke, step 3) standard uncertainty that the measurement reproducibility described in is introduced, using type A evaluation method,
The standard deviation of wherein single measurement result is calculated as with Bessel Formula:(in formula, sR1 Represent the standard deviation of absworption peak area result obtained by single measurement, yjRepresent to measure CO in sample every time2The single absorption of gained Peak area test value,Represent CO in repeatedly measurement sample2The average value of the absorption peak area of gained, n represents that absorbing peak area surveys Measure number of times, j represent absorb peak area measurement sequence number, j=1,2,3 ... n),
So the standard uncertainty introduced by repetition measurement is as follows:(in formula,Represent multiple The average value of measurement gained absworption peak area result standard deviation).
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke, step 3) standard uncertainty that the linear regression described in is introduced, using type A evaluation method, in measurement process, by least square Method carries out the standard fit working curve obtained by linear regression to measure CO in industrial smoke2Institute in concentration, linear regression procedure The standard uncertainty that the standard deviation of introducing, i.e. linear regression are introduced:
(in formula, s1Represent the standard uncertainty that linear regression is introduced, yiRepresent measurement every time Simulation industrial smoke in CO2Single absorption peak area test value obtained by calibrating gas;Represent measurement CO every time2Calibrating gas The single match value for absorbing peak area of gained, n represents absorption peak area measurement number of times, and i represents to absorb peak area measurement sequence number, i =1,2,3 ... n).
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke, step 3) CO described in2The standard uncertainty that calibrating gas is introduced is, using type B evaluation method:
(in formula, UrelRepresent CO2The relative expanded uncertainty of calibrating gas content,Represent repeatedly to survey CO in amount simulation industrial smoke2The average value of peak area is absorbed obtained by calibrating gas).
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke, step 3) standard uncertainty that the apparatus measures described in are introduced, using type B evaluation method, CO2Absorb peak area quantification and determine used The maximum tolerance of infrared spectrometer is 1%, by being uniformly distributed consideration, and the relative standard uncertainty of apparatus measures is:
Then corresponding standard uncertainty is:(in formula, u3relRepresent that the relative standard of apparatus measures is not true Fixed degree,Represent CO in repeatedly measurement simulation industrial smoke2The average value of peak area is absorbed obtained by calibrating gas).
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke, step 3) standard uncertainty that the intercept described in is introduced is, using type A evaluation method:
In formula, s1Represent the standard uncertainty that linear regression is introduced;xiRepresent the industrial cigarette of the used simulation of measurement every time CO in gas2The concentration of calibrating gas,Represent that repeatedly measurement uses CO in simulation industrial smoke2Calibrating gas series concentration Average value, n represents CO in simulation industrial smoke2The pendulous frequency of calibrating gas, i represents the sequence number of pendulous frequency, i=1,2, 3……n。
The described uncertainty analysis method based on gas concentration lwevel in infrared spectroscopic determination industrial smoke is to walk It is rapid 3) described in slope introduce standard uncertainty be, using type A evaluation method:
In formula, s1Represent the standard uncertainty that linear regression is introduced;xiRepresent the industrial cigarette of the used simulation of measurement every time CO in gas2The concentration of calibrating gas,Represent that repeatedly measurement uses CO in simulation industrial smoke2Standard gas concentration is averaged Value, n represents CO in simulation industrial smoke2Calibrating gas pendulous frequency, i represents the sequence number of pendulous frequency, i=1,2,3 ... n.
Special absorption peak shape can be left in infrared spectrogram after the energy of gas with various molecule absorption different wave length, The absorption spectrum curve shape of material of the same race is identical, and the size that concentration difference only will result only in absorption spectrum changes, Existence function relation i.e. between the area and concentration of absorption spectrum.It is referred to as " the light of gas based on this kind of unique absorbing structure Compose fingerprint ", the different gas of analysis and identification and determine its concentration according to this;
Each asymmetric gas molecule has the absworption peak of uniqueness in Fourier infrared absorption region, is absorbed by these Information is that can carry out quantitative or qualitative analysis, and the selection rule of characteristic wavelength scope is:Include component gas characteristic absorpting spectrum Line;The absorption intensity of characteristic wavelength scope and mixture gas component concentration be linear or non-linear relation;In the range of characteristic wavelength There is larger absorption coefficient;
Based on above-mentioned consideration, (2400~2200) cm is chosen by testing-1In the range of a small characteristic absorption peak be two The optimal quantitative characteristic absworption peak of carbonoxide, as shown in figure 3, its specific scope is (2240~2238) cm-1, as shown in figure 4, its peak Size and gas concentration lwevel height direct proportionality, it is possible thereby to by testing (2240~2238) cm-1In region The small peak area that absorbs of carbon dioxide obtains gas concentration lwevel indirectly.
Compared with prior art, the present invention has following positive beneficial effect
(1) present invention has carried out dust granules and water steaming in preceding processing, flue gas to flue gas first in data acquisition Gas is removed, and eliminates the interference of dust and vapor to measurement result, and not only ensuring this method uninterruptedly can continuously grasp Make, and improve the repeatability and measurement accuracy of measurement data;
(2) most direct-reading quasi-instruments can not retain carbon dioxide initial data at present, and the present invention can not only show two in real time Carbonoxide concentration value, moreover it is possible to record quantitative carbon dioxide and absorb peak area original spectrum diagram data, related data can be protected for a long time Deposit, meet carbon emission data values and trace to the source requirement.The present invention analyzes system mistake comprehensively during analyzing and evaluating uncertainty The partial uncertainty that difference and random error are introduced, the uncertainty related data of final gained is accurately credible, is industrial smoke Carbon emission metering provides reliable method foundation.
Brief description of the drawings
Fig. 1 is the schematic diagram of constructed carbon dioxide detecting system;
The meaning that symbol is represented in figure is:1 is calibrating gas accumulator tanks, and 2 be gas mass flow gauge, and 3 be that gas is mixed Heating bath, 4 be heat tape, and 5 be IGS gas infrared spectrum analysers, and 6 be data acquisition device, and 7 be industrial smoke generation system, 8 It is dust filter unit for sampling gun, 9,10 be condenser, and 11 be sampling pump, and 12 be controller;
Fig. 2 is the structural representation that gas mixes heating bath;
The meaning that symbol is represented in figure is:301 be cylindrical shell, and 302 be bulk steel wire lump, and 303 be rear gas chamber, and 304 are Impeller is disturbed, 305 be heating muff, and 306 be electrical heating wire;
Fig. 3 is that carbon dioxide infrared signature absorbs spectrogram;
Fig. 4 is quantitative carbon dioxide characteristic absorption spectrogram;
Fig. 5 is standard fit working curve used in carbon dioxide concentration measurement in industrial smoke;
Fig. 6 is carbon dioxide concentration measurement uncertainty source cause-and-effect diagram in industrial smoke.
Embodiment
The present invention is described in more details below by embodiment, but is not intended to limit the invention Protection domain.
Embodiment 1
The uncertainty analysis method of gas concentration lwevel in a kind of industrial smoke based on infrared spectroscopic determination, including with Lower step:
1) structure and measuring process of carbon dioxide measuring system are as follows:
1. the structure of carbon dioxide measuring system:
The measuring system of carbon dioxide as shown in figure 1, the system includes calibrating gas storage tank 1, by ventilation line with The gas that calibrating gas storage tank 1 is connected mixes heating bath 3, mixes what heating bath 3 was connected by gas line and gas IGS gases infrared spectrum analyser 5, described IGS gases infrared spectrum analyser 5 is electrically connected with the signal input part of data acquisition device 6; The system also includes flue gas generation system 7, and the sampling gun 8 being connected with flue gas generation system 7 passes through ventilation line and sampling gun 8 dust filter units 9 being connected, the condenser 10 being connected by ventilation line with dust filter unit 9, by ventilation line with The sampling pump 11 that condenser 10 is connected, the gas being connected by ventilation line with sampling pump 11 mixes heating bath 3;It is (described Dust filter unit 9 be mainly used in being filtered to remove dust granules in flue gas;Described condenser 10 is mainly used in removing flue gas In vapor, in order to avoid impacted to carbon dioxide measurement);The system also includes controller 12;
The gas outlet of described calibrating gas storage tank 1 is provided with gas mass flow gauge 2, and described gas is mixed Heating bath 3 and connection gas mix heating bath 3 and cladding is provided with electricity in the ventilation line of IGS gases infrared spectrum analyser 5 Heating tape 4;Signal output part of the described gas mass flow gauge 2 and heat tape 4 with controller 12 is electrically connected;
Described gas mixes heating bath 3 as shown in Fig. 2 the cylindrical shell including being filled with bulk steel wire lump 302 301 and the rear gas chamber 303 of cylindrical shell rear end, axially pivot joint is provided with disturbance impeller 304 and bag in described rear gas chamber 303 The expansion arc and the contraction section positioned at middle part positioned at two ends are included, is realized so that air-flow expands compressed transform by swift current It is sufficiently mixed;Heating muff 305, the heating muff 305 and rear gas chamber are provided with rear gas chamber corresponding with contraction section outer wall Provided with heating medium and electrical heating wire 306 between 303 outer walls;
2. using gas concentration lwevel in above-mentioned carbon dioxide measuring system measurement industrial smoke:
A. controller is opened, the flow number of every kind of calibrating gas in heating-up temperature and measuring system is set on the controller (being set according to actual industrial flue gas constituent measurement range), by heat tape by gas concentration lwevel detecting system The uniform heating bath of gas and the ventilation line of the connection uniform heating bath of gas and IGS gas infrared spectrum analysers be heated to 155 ± 5 DEG C constant temperature, and the detection temperature of IGS gas infrared spectrum analysers is set as identical temperature, i.e., 155 ± 5 DEG C;
By the control of controller in the step, a series of the mixed of different carbon dioxide standard gas concentrations can must be made Close gas;
b.CO2、NO、SO2、N2Calibrating gas stores the gas that tank valve and calibrating gas storage tank gas outlet are set Mass flowmenter is opened, and flow that each calibrating gas is set according to step a controllers, by whole ventilation line is passed through gas Mix in heating bath, mixing is heated in gas mixes heating bath, gas mixing heating bath is heated to 155 ± 5 DEG C;Then will The gaseous sample that heating is mixed is passed through IGS gases infrared spectrum analyser (the IGS gas by the ventilation line under the conditions of 155 ± 5 DEG C Body infrared spectrum analyser model:ANTARIS;Test temperature is set as 155 DEG C during the instrument use) in tested;
C. in measurement process, during mixed gas is passed through, IGS infrared-gas point is passed through with 3000ml/min flow velocity Tested in analyzer, a series of known CO are tested successively2The simulation industrial smoke calibrating gas of standard gas concentration, Mei Geyi Know that concentration obtains corresponding metering and absorbs peak area respectively (result is as shown in table 1);Each concentration carry out three replications it After average, according to known CO2The concentration of calibrating gas and corresponding absworption peak area average, drafting are corresponded to Standard working curve;Then the regression equation of standard working curve is calculated using least square method:
Y=a+bx
In formula, y:Peak area (PA*S) is absorbed for metering;x:For gas concentration lwevel (vol.%);a:For regression equation Intercept;b:For the slope of regression equation;
By the Fitting Calculation, a=0.0254;B=1.25501;R=0.99965;I.e. regression equation is:Y=a+bx= 0.0254+1.25501x, gained standard fit working curve is as shown in Figure 5;
Known CO2The simulation industrial smoke calibrating gas test result of standard gas concentration is as shown in table 1:
The CO of table 12Standard gas concentration-metrology features absorb peak area corresponding relation
It can be obtained by the above results:Linearity error≤± 1%, shows that the test system linearity is good, can be completely used for reality The measurement of gas concentration lwevel in the industrial smoke of border;
D. the step gas that 2. calibrating gas storage tank valve and calibrating gas storage tank gas outlet described in b are set is closed Weight flowmeter, opens the valve (industrial chimney sampling gas circuit in be provided with valve) of industrial smoke production system, using adopting Industrial smoke in sample rifle and sampling pump collection flue gas generation system, the industrial smoke of collection is respectively by dust filter unit and cold Condenser (condensation temperature of condenser is 2 DEG C in the course of work) is filtered, except water process, and the industrial smoke after the completion of processing leads to Cross ventilation line and be passed through gas and mix in heating bath and be heated to 155 DEG C, then by the ventilation line under the conditions of 155 DEG C, with 3000ml/ Min flow velocity is passed through IGS infrared gas analysers and tested, and the absworption peak face of carbon dioxide in industrial smoke is obtained in real time Product, then the standard fit working curve according to step 2. c can calculate the CO obtained in industrial smoke2Concentration;
2) count and calculate CO in influence measurement industrial smoke2Concentration measurement every partial uncertainty (its not Degree of certainty source cause-and-effect diagram is as shown in Figure 6):
CO in industrial smoke2Concentration measurement C Composite Seismogram u (C) and its variance is as follows:
Propagation coefficient:
In above-mentioned formula, u (C):For CO2The combined standard uncertainty of assay;u(y):Represent metering absworption peak face The standard uncertainty that product change is introduced;u(a):Represent the standard uncertainty that intercept is introduced;u(b):Represent what slope was introduced Standard uncertainty;Represent that repeatedly measurement gained absorbs the average value of peak area;uR:Represent the standard that repetition measurement is introduced Uncertainty;u1:Represent the standard uncertainty that linear regression is introduced;u2:Represent CO2The stardard uncertairty that calibrating gas is introduced Degree;u3:Represent the standard uncertainty that apparatus measures are introduced;
So, CO in influence measurement industrial smoke2Every partial uncertainty of concentration measurement is specially:
(1) the standard uncertainty u that repetition measurement is introducedR, using type A evaluation method:
The main inconsistency, environment temperature, pressure by sample gas in standard uncertainty source that repetition measurement is introduced What the factors such as power, human users were introduced;Under the conditions of repeatability, surveyed according to the assay method of establishment is parallel to same gaseous sample Fixed 6 times, to investigate measurement reproducibility, measurement result is as shown in table 2:
The sample gas horizontal survey result of table 2
The standard deviation of wherein single measurement result is calculated with Bessel Formula:
In formula, sR1Represent the standard deviation of absworption peak area result obtained by single measurement, yjRepresent CO in sample2It is single to inhale The test value of peak area is received,Represent CO in repeatedly measurement sample2The average value of peak area is absorbed, n represents to absorb peak area measurement Number of times, j represents that measurement absorbs peak area sequence number, j=1,2,3 ... n;Following result can be obtained by bringing the data of table 2 into formula (III):
The detection number of times of each sample is 3 times in an experiment, and takes the average value of 3 testing results;That is, replication work CO in industry flue gas2The standard uncertainty of content is:
(Represent being averaged for absworption peak area standard deviation obtained by 3 measurements Value).
(2) the standard uncertainty u that linear regression is introduced1, using type A evaluation method:
In actual measurement process, carry out the standard fit working curve obtained by linear regression to count by least square method Calculate CO in industrial smoke gas2The standard that the standard deviation introduced in concentration, linear regression procedure, i.e. linear regression are introduced is not true Fixed degree:
In formula, s1The standard uncertainty introduced for linear regression, yiCO in the simulation industrial smoke that expression is measured every time2 Single absorption peak area test value obtained by calibrating gas,Represent CO in measurement simulation industrial smoke every time2It is single obtained by calibrating gas It is individual absorb peak area match value, n represent absorb peak area measurement number of times, i represent absorb peak area measurement sequence number, i=1, 2,3 ... n;
Bringing the data of table 1 into formula (IV), can to obtain result as follows:
(3)CO2The standard uncertainty u that calibrating gas is introduced2, using type B evaluation method:
Calibrating gas used during carbon dioxide concentration measurement standard working curve is fitted in the embodiment by Henan Province Measure engineering center to provide, establishing criteria material certificate, CO2The relative expanded uncertainty U of contentrelAll be 2%, extension because Sub- k=2, then testing the standard uncertainty that Plays gas introduces is:
In formula, UrelRepresent CO2The relative expanded uncertainty of calibrating gas content,Represent the repeatedly industrial cigarette of measurement simulation CO in gas2The average value of peak area is absorbed obtained by calibrating gas, the data of table 1 are substituted into formula (V) can obtain following result:
In formula, yiRepresent CO in measurement simulation industrial smoke every time2Single absorption peak area test value, i obtained by calibrating gas Represent to absorb peak area measurement sequence number, i=1,2,3 ... n).
(4) the standard uncertainty u that apparatus measures are introduced3, using type B evaluation method:
The standard uncertainty calculation formula that described apparatus measures are introduced is as follows:
In formula, u3relThe relative standard uncertainty of apparatus measures is represented,Represent in repeatedly measurement simulation industrial smoke CO2The average value of peak area is absorbed obtained by calibrating gas;
CO2It is 1% to absorb peak area quantification to determine the maximum tolerance of infrared spectrometer used, by being uniformly distributed consideration, its Relative standard uncertainty is:The data and the data of table 1 are substituted into formula (VI) to obtain:Institute is right The standard uncertainty answered is:
(5) the standard uncertainty u (a) that intercept is introduced, using type A evaluation method:
The standard uncertainty that the intercept is introduced is calculated as follows:
In formula, s1Represent the standard uncertainty that linear regression is introduced, xiRepresent that measurement every time uses simulation industrial smoke Middle CO2The concentration of calibrating gas;Represent CO in repeatedly measurement simulation industrial smoke2Calibrating gas uses CO2Standard Gases system The average value of row concentration, n represents CO in simulation industrial smoke2Calibrating gas pendulous frequency, i represents the sequence number of pendulous frequency, i= 1,2,3 ... n;The data of table 1 substitution formula (VII) can be obtained into result as follows:
The standard uncertainty that intercept is introduced is calculated as follows:
(6) the standard uncertainty u (b) that slope is introduced, using type A evaluation method:
The standard uncertainty that the slope is introduced is calculated as follows:
In formula, s1Represent the standard uncertainty that linear regression is introduced;xiRepresent that measurement every time uses simulation industrial smoke Middle CO2The concentration of calibrating gas,Represent CO in repeatedly measurement simulation industrial smoke2Calibrating gas uses CO2Standard Gases system The average value of row concentration, n represents CO in simulation industrial smoke2Calibrating gas pendulous frequency, i represents the sequence number of pendulous frequency, i= 1,2,3 ... ... n;The public formula (VIII) of the data of table 1 substitution can be obtained into result as follows:
The standard uncertainty that slope is introduced is calculated as follows:
By all standard uncertainty of above-mentioned calculating, following form can be obtained:
CO in the industrial smoke of table 32Measurement of concetration uncertainty concludes table
3) synthesis relative standard uncertainty is calculated
By step 1) b calculate data can obtain:
Propagation coefficient:
Then combined standard uncertainty
So, synthesize relative standard uncertainty
4) relative expanded uncertainty is calculated
Spreading factor k=2 is taken, then CO in industrial smoke2Measurement of concetration is with respect to expanded uncertainty Urel=2 × urel(C) =2.3%.
From above-mentioned experimental result, using Fourier transform infrared spectrometry to CO in the industrial smoke of simulation2Concentration is carried out The main source of uncertainty in measurement, measurement process is by calibrating gas and standard working curve introducing, therefore, in reality Should try one's best reduction systematic error in the detection process of border, could further improve CO2The precision of measurement of concetration, is that carbon emission is accurately counted Amount provides reliable method.

Claims (9)

1. a kind of uncertainty analysis method of gas concentration lwevel in industrial smoke based on infrared spectroscopic determination, its feature exists In this method comprises the following steps:
1) CO in industrial smoke is built2Concentration measurement system;
2) use step 1) described in CO2Concentration measurement system is to CO in industrial smoke2Concentration is measured;
3) CO in statistics influence measurement industrial smoke2Every partial uncertainty of concentration measurement,
CO in industrial smoke2Concentration measurement C combined standard uncertainty u (C) and its variance is as follows:
<mrow> <msup> <mi>u</mi> <mn>2</mn> </msup> <mrow> <mo>(</mo> <mi>C</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <mrow> <mo>(</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>C</mi> </mrow> <mrow> <mo>&amp;part;</mo> <mi>y</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mi>u</mi> <mrow> <mo>(</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <mrow> <mo>(</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>C</mi> </mrow> <mrow> <mo>&amp;part;</mo> <mi>a</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mi>u</mi> <mrow> <mo>(</mo> <mi>a</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>&amp;lsqb;</mo> <mrow> <mo>(</mo> <mfrac> <mrow> <mo>&amp;part;</mo> <mi>C</mi> </mrow> <mrow> <mo>&amp;part;</mo> <mi>b</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mo>&amp;times;</mo> <mi>u</mi> <mrow> <mo>(</mo> <mi>b</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> </mrow> <mn>2</mn> </msup> </mrow>
Wherein, propagation coefficient
<mrow> <mi>u</mi> <mrow> <mo>(</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <msqrt> <mrow> <msup> <msub> <mi>u</mi> <mi>R</mi> </msub> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>u</mi> <mn>1</mn> </msub> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>u</mi> <mn>2</mn> </msub> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>u</mi> <mn>3</mn> </msub> <mn>2</mn> </msup> </mrow> </msqrt> <mo>,</mo> </mrow>
In above-mentioned formula, u (C):For CO2The combined standard uncertainty of assay;u(y):Represent that metering absorbs peak area and become Change the standard uncertainty introduced;u(a):Represent the standard uncertainty that intercept is introduced;u(b):Represent the standard that slope is introduced Uncertainty;Represent that repeatedly measurement gained absorbs the average value of peak area;uR:Represent that the standard that repetition measurement is introduced is not true Fixed degree;u1:Represent the standard uncertainty that linear regression is introduced;u2:Represent the stardard uncertairty that carbon dioxide calibrating gas is introduced Degree;u3:Represent the standard uncertainty that apparatus measures are introduced;
It can obtain, CO in influence measurement industrial smoke2Every partial uncertainty of concentration measurement is specially:
(1)uR:The standard uncertainty that repetition measurement is introduced;
(2)u1:The standard uncertainty that linear regression is introduced;
(3)u2:The standard uncertainty that carbon dioxide calibrating gas is introduced;
(4)u3:The standard uncertainty that apparatus measures are introduced;
(5)u(a):The standard uncertainty that intercept is introduced;
(6)u(b):The standard uncertainty that slope is introduced;
4) relative standard uncertainty is synthesized
Combined standard uncertainty
Synthesize relative standard uncertainty
5) relative expanded uncertainty is synthesized
Spreading factor k=2 is taken, then CO in industrial smoke2Measurement of concetration is with respect to expanded uncertainty Urel=2 × urel(C)。
2. the uncertainty of gas concentration lwevel point in the industrial smoke according to claim 1 based on infrared spectroscopic determination Analysis method, it is characterised in that step 1) described in industrial smoke in CO2Concentration measurement system includes calibrating gas storage tank, leads to The gas mixing heating bath that ventilation line is connected with calibrating gas storage tank is crossed, passes through ventilation line and gas mixes heating bath The IGS gas infrared spectrum analysers being connected, described IGS gases infrared spectrum analyser and the signal input part electricity of data acquisition device Connection;CO in described industrial smoke2Concentration measurement system also includes flue gas generation system, is connected with flue gas generation system Sampling gun, the dust filter unit being connected by ventilation line with sampling gun, is connected by ventilation line with dust filter unit Condensation dehydrater, by ventilation line and the sampling pump that is connected of condensation dehydrater, be connected by ventilation line with sampling pump Logical gas mixes heating bath;CO in described industrial smoke2Concentration measurement system also includes controller;
Described calibrating gas storage tank gas outlet is provided with gas mass flow gauge, described gas mix heating bath with And the connection uniform heating bath of gas is provided with heat tape with being coated in the ventilation line of IGS gas infrared spectrum analysers;It is described Gas mass flow gauge and heat tape electrically connected with the signal output part of controller.
3. gas concentration lwevel is uncertain in the industrial smoke according to claim 1 or 2 based on infrared spectroscopic determination Spend analysis method, it is characterised in that step 2) the use CO2Concentration measurement system is to CO in industrial smoke2Concentration is surveyed Amount, step is as follows:
A. according to step 1) build CO2Concentration measurement system, measures a series of known CO2The simulation industry of standard gas concentration Flue gas calibrating gas, the CO of each concentration2Calibrating gas obtains corresponding measurement result respectively, after measuring, according to mould Intend known CO in industrial smoke2Standard gas concentration and its corresponding measurement result set up standard working curve;
B. the regression equation of standard working curve described in least square method calculation procedure a is used:Y=a+bx;Through the Fitting Calculation:a =0.0254;B=1.25501;R=0.99965;Produce standard fit working curve regression equation:Y=a+bx=0.0254+ 1.25501x;
In formula, y:Metering absorbs peak area (PA*S);x:Gas concentration lwevel (V/V);a:The intercept of regression equation;b:Recurrence side The slope of journey;
C. actual industrial flue gas is gathered, using step 1) constructed by system measure, and standard according to step b is intended Close working curve and obtain CO in industrial smoke to calculate2The measured value of concentration.
4. the uncertainty of gas concentration lwevel point in the industrial smoke according to claim 1 based on infrared spectroscopic determination Analysis method, it is characterised in that step 3) described in measurement reproducibility introduce standard uncertainty:
The standard deviation of its single measurement result is calculated as with Bessel Formula:
In formula, sR1Represent the standard deviation of single measurement absworption peak area result, yjRepresent to measure CO in sample every time2Gained Single absorption peak area test value,Represent CO in repeatedly measurement sample2The average value of the absorption peak area of gained, n is represented Peak area measurement number of times is absorbed, j represents to absorb peak area measurement sequence number, j=1,2,3 ... n;
After the measurement of multiplicating property, the standard uncertainty introduced by measurement reproducibility is:
5. the uncertainty of gas concentration lwevel point in the industrial smoke according to claim 1 based on infrared spectroscopic determination Analysis method, it is characterised in that step 3) described in linear regression introduce standard uncertainty be calculated as follows:
<mrow> <msub> <mi>u</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>=</mo> <msqrt> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mi>i</mi> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mover> <mi>y</mi> <mo>^</mo> </mover> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> <mrow> <mi>n</mi> <mo>-</mo> <mn>2</mn> </mrow> </mfrac> </msqrt> <mo>,</mo> </mrow>
In formula, s1Represent the standard uncertainty that linear regression is introduced, yiCO in the simulation industrial smoke that expression is measured every time2 Single absorption peak area test value obtained by calibrating gas;Represent the CO measured every time2Single absorption peak area obtained by calibrating gas Match value, n represent absorb peak area measurement number of times, i absorb peak area measurement sequence number, i=1,2,3 ... n.
6. the uncertainty of gas concentration lwevel point in the industrial smoke according to claim 1 based on infrared spectroscopic determination Analysis method, it is characterised in that step 3) described in carbon dioxide calibrating gas introduce standard uncertainty be calculated as follows:
<mrow> <msub> <mi>u</mi> <mn>2</mn> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>U</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>l</mi> </mrow> </msub> <mo>&amp;times;</mo> <mover> <mi>y</mi> <mo>&amp;OverBar;</mo> </mover> </mrow> <mn>2</mn> </mfrac> </mrow> 2
In formula, UrelRepresent CO2The relative expanded uncertainty of calibrating gas content,Represent repeatedly measurement simulation industrial smoke Middle CO2The average value of peak area is absorbed obtained by calibrating gas.
7. the uncertainty of gas concentration lwevel point in the industrial smoke according to claim 1 based on infrared spectroscopic determination Analysis method, it is characterised in that step 3) described in apparatus measures introduce standard uncertainty be calculated as follows:
<mrow> <msub> <mi>u</mi> <mn>3</mn> </msub> <mo>=</mo> <msub> <mi>u</mi> <mrow> <mn>3</mn> <mi>r</mi> <mi>e</mi> <mi>l</mi> </mrow> </msub> <mo>&amp;times;</mo> <mover> <mi>y</mi> <mo>&amp;OverBar;</mo> </mover> </mrow>
In formula, u3relThe relative standard uncertainty that apparatus measures are introduced is represented,Represent in repeatedly measurement simulation industrial smoke CO2The average value of peak area is absorbed obtained by calibrating gas.
8. the uncertainty of gas concentration lwevel point in the industrial smoke according to claim 1 based on infrared spectroscopic determination Analysis method, it is characterised in that step 3) described in intercept introduce standard uncertainty be calculated as follows:
<mrow> <mi>u</mi> <mrow> <mo>(</mo> <mi>a</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>&amp;times;</mo> <msqrt> <mrow> <mfrac> <mn>1</mn> <mi>n</mi> </mfrac> <mo>+</mo> <mfrac> <msup> <mover> <mi>x</mi> <mo>&amp;OverBar;</mo> </mover> <mn>2</mn> </msup> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>-</mo> <mover> <mi>x</mi> <mo>&amp;OverBar;</mo> </mover> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mfrac> </mrow> </msqrt> </mrow>
In formula, s1Represent the standard uncertainty that linear regression is introduced;xiRepresent in the used simulation industrial smoke of measurement every time CO2The concentration of calibrating gas,Represent that repeatedly measurement uses CO in simulation industrial smoke2The series concentration of calibrating gas it is flat Average, n represents CO in simulation industrial smoke2Calibrating gas pendulous frequency, i represents the sequence number of pendulous frequency, i=1,2,3 ... n。
9. the uncertainty of gas concentration lwevel point in the industrial smoke according to claim 1 based on infrared spectroscopic determination Analysis method, it is characterised in that step 3) described in slope introduce standard uncertainty be calculated as follows:
<mrow> <mi>u</mi> <mrow> <mo>(</mo> <mi>b</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>s</mi> <mn>1</mn> </msub> <mo>&amp;times;</mo> <msqrt> <mfrac> <mn>1</mn> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>-</mo> <mover> <mi>x</mi> <mo>&amp;OverBar;</mo> </mover> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mfrac> </msqrt> </mrow>
In formula, s1Represent the standard uncertainty that linear regression is introduced;xiRepresent in the used simulation industrial smoke of measurement every time CO2The concentration of calibrating gas,Represent that repeatedly measurement uses CO in simulation industrial smoke2Calibrating gas series concentration is averaged Value, n represents CO in simulation industrial smoke2Calibrating gas pendulous frequency, i represents the sequence number of pendulous frequency, i=1,2,3 ... n.
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