CN106951603A - PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions - Google Patents
PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions Download PDFInfo
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- CN106951603A CN106951603A CN201710111480.2A CN201710111480A CN106951603A CN 106951603 A CN106951603 A CN 106951603A CN 201710111480 A CN201710111480 A CN 201710111480A CN 106951603 A CN106951603 A CN 106951603A
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- ion wind
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
Abstract
The present invention relates to a kind of PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions, including：On the basis of line plate type electrostatic deduster ESP theoretical models and simplified model is set up, simulate and analyze influence of the ion wind to PM2.5 particle capture efficiencies under different flue gas flow rates, the contribution rate of PM2.5 particle capture efficiencies is fitted with the change curve of flue gas flow rate using POWER function pairs electrostatic precipitator intermediate ion wind, matched curve is obtained, so as to further improve ESP trapping performances.Compared with prior art, the present invention has the advantages that higher fitting precision.
Description
Technical field
The present invention relates to a kind of PM2.5 arresting efficiencies contribution rate curve-fitting method, POWER is based on more particularly, to one kind
The PM2.5 arresting efficiency contribution rate curve-fitting methods of function.
Background technology
PM2.5 refers to particulate matter of the diameter less than or equal to 2.5 in air, and PM2.5 a large amount of discharges can have a strong impact on sky
Gas visibility simultaneously causes greatly harm to health.Currently, smoke purifying equipment nearly 90% is used in coal-burning power plant of China
Be electrostatic precipitator, but PM2.5 Electrostatic efficiency is relatively low, and how to improve ESP has turned into PM2.5 arresting efficiency
The focus and difficult point of current dust removal field research.At present, domestic and foreign scholars are based on numerical simulation and experimental method is dust removal to ESP
The research that can improve more development, but under different flue gas flow rates, influence of the ion wind scorpion to ESP arresting efficiencies there is no depth
Enter research.
The content of the invention
The purpose of the present invention is exactly the defect in order to overcome above-mentioned prior art presence and provides a kind of based on POWER functions
PM2.5 arresting efficiency contribution rate curve-fitting methods.
The purpose of the present invention can be achieved through the following technical solutions：
A kind of PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions, including：It is board-like setting up line
On the basis of electrostatic precipitator ESP theoretical models and simplified model, simulate and analyze ion wind pair under different flue gas flow rates
The influence of PM2.5 particle capture efficiencies, using POWER function pair electrostatic precipitator intermediate ion wind to PM2.5 particle capture efficiencies
Contribution rate be fitted with the change curve of flue gas flow rate, matched curve is obtained, so as to further improve ESP catchings
Energy.
Described line plate type electrostatic deduster ESP theoretical models are specially：
1) for the board-like ESP of line, under corona stabilization discharge scenario, electric field meets following Poisson's equation and current continuity
Equation：
▽ U ▽ ρ=ρ2/ε0
In formula,For electric-field intensity, V/m；U is space potential, V；ρ is space charge density, C/m3；ε0For vacuum dielectric
Constant；
2) ion wind is acted on to the flowing that incompressible, stickiness, stable state are seen in the gas flowing in downstream as, met
Mass-conservation equation and momentum conservation equation, are expressed as：
In formula, ρgFor smoke density, kg/m3；uiAnd ujFor gas velocity, m/s；P is gas average static pressure, Pa；μ and μtPoint
Wei not aerodynamic force viscosity, kg/ (ms)；ρ is charge density, EjIt is electric-field intensity；FDjIt is aerodynamics drag；
" i " and " j " is betted for variable, i, j=1,2,3 represent x, y, z directions respectively；
3) when considering stress of the dust in particle aerodynamic field, electric field force, ion wind-force, magnetic field force and towing need to only be considered
Power, then the equation of motion of particle be：
In formula, mpFor powder dust particle quality, kg；ujRepresent particle in the speed in j directions, m/s；QPFor grit surface charge
Amount, C；FjFor ion wind-force；
Described line plate type electrostatic deduster ESP simplified models are specially：
The board-like ESP of line is made up of parallel dust collecting pole plate and center one group three equidistant corona discharge electrodes simplifies mould
Type, using Gambit softwares to simplified model mesh generation, is divided into 41440 grid cells, and zoning is divided into altogether
Three corona zones and other parts.
Described simulation and to analyze influence of the ion wind to PM2.5 particle capture efficiencies under different flue gas flow rates specific
For：
1) in same operating voltage U=60kV, different flue gas flow rates is drawn and under ion wind effect situation is whether there is
Grain running orbit, in same flue gas flow rate, it is considered to which the movement locus of particle is more biased towards in dust collection plate under ion wind scorpion, this body
Having showed ion wind has certain facilitation for particle capture efficiency；With the reduction of flue gas flow rate, whether in the presence of from
Sub- wind scorpion, particle is easier close to dust collection plate, because residence time is elongated in the online board-like ESP of particle, particle is easier
It is charged, so as to improve trapping effect；
2) it is simulated, obtains with the change of flue gas flow rate to whetheing there is the lower PM2.5 particle capture efficiencies of ion wind effect：
(1) with the increase of flue gas flow rate, ion wind action is whether considered, the arresting efficiency of PM2.5 particles is all
In downward trend, and the trend gradually slows down；
(2) arresting efficiency of the lower particle of ion wind effect is considered than not considering the high of ion wind effect, and with cigarette
Difference between the increase of gas velocity, two curves gradually increases, and indicates influence effect of the ion wind scorpion to particle capture efficiency
Fruit improves constantly with the increase of flue gas flow rate.
Described utilization POWER function pairs electrostatic precipitator intermediate ion wind to the contribution rates of PM2.5 particle capture efficiencies with
The change curve of flue gas flow rate is fitted specially：
Ion wind is described to the change of the contribution λs of PM2.5 particle capture efficiencies with flue gas flow rate v using power functions,
Have：
λ (v)=P (v)=avb
In order that fitting precision is higher, it is optimized on the basis of power functions, obtains following more accurate point
Cloth function：
λ (v)=P (v)=avb+c
In formula, a, b, c are the parameter to be estimated of power functions.
Compared with prior art, the present invention combines domestic and international ESP correlation theories and practical application, is setting up line plate type electrostatic
On the basis of deduster theoretical model and simplified model, simulate and analyze under different flue gas flow rates ion wind to PM2.5 particles
The influence of arresting efficiency, has obtained the contribution rate of PM2.5 particle capture efficiencies with the fitting formula of the change of flue gas flow rate, to enter
One step lifting ESP trapping performances provide Technical Reference.
Brief description of the drawings
Fig. 1 is the board-like ESP Simplified two-dimensions structure chart of line；
Fig. 2 is the board-like ESP two dimensional models mesh generation figure of line；
Fig. 3 is the movement locus for whetheing there is particle under ion wind effect and different flue gas flow rates, wherein (a) is to make without ion wind
With lower flue gas flow rate v=1m/s, (b) is without the lower flue gas flow rate v=2m/s of ion wind effect, flue gas flow rate v under the effect of (c) ion wind
=1m/s, the lower flue gas flow rate v=2m/s of (d) ion wind effect；
Fig. 4 is the arresting efficiency schematic diagram of PM2.5 particles under different flue gas flow rates；
Fig. 5 is contribution rate schematic diagram of the ion wind under different flue gas flow rates to PM2.5 particle capture efficiencies；
Fig. 6 is the matched curve figure that ion wind changes to the contribution rate of PM2.5 particle capture efficiencies with flue gas flow rate.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Site preparation is described, it is clear that described embodiment is a part of embodiment of the present invention, rather than whole embodiments.Based on this hair
Embodiment in bright, the every other reality that those of ordinary skill in the art are obtained on the premise of creative work is not made
Example is applied, should all belong to the scope of protection of the invention.
The present invention is with line plate type electrostatic deduster (Electrostatic Precipitators, ESP) Simplified two-dimension mould
Type is research object, and the Mathematical Modeling in flow field, electric field and particle aerodynamic field is established according to energy, principle of conservation of momentum.Using
Gambit softwares establish two dimensional model, the ion wind scorpion under the different flue gas flow rates of numerical simulation, and then analyze and to obtain
ESP arresting efficiencies with ion wind scorpion changing rule：Ion wind scorpion significantly improves the arresting efficiency of particle, ion wind effect
The contribution rate of reply particle capture efficiency is improved constantly with the increase of flue gas flow rate.In addition, utilizing POWER function pair electrostatic
Deduster intermediate ion wind is fitted to the contribution rate of PM2.5 particle capture efficiencies with the change curve of flue gas flow rate, is obtained
Analytic formula, and it is verified, as a result show that the approximating method accuracy is very high.Analysis result is exploration ion wind
Influence to ESP arresting efficiencies provides theoretical foundation, while also providing Technical Reference for further lifting ESP trappings performance.
1 theoretical model
1.1 electric fields
For the board-like ESP of line, under corona stabilization discharge scenario, electric field meets following Poisson's equation and current continuity side
Journey：
▽ U ▽ ρ=ρ2/ε0 (2)
In formula,For electric-field intensity, V/m；U is space potential, V；ρ is space charge density, C/m3；ε0For vacuum dielectric
Constant.
1.2 flow fields
Ion wind can be acted on to the flowing that incompressible, stickiness, stable state are seen in the gas flowing in downstream as, met
Mass-conservation equation and momentum conservation equation, can be expressed as：
In formula, ρgFor smoke density, kg/m3；uiAnd ujFor gas velocity, m/s；P is gas average static pressure, Pa；μ and μtPoint
Wei not aerodynamic force viscosity, kg/ (ms)；ρ is charge density, EjIt is electric-field intensity；FDjIt is aerodynamics drag；
Bet " i " and " j " represents x, y, z directions respectively.
1.3 particle aerodynamic fields
When considering stress of the dust in particle aerodynamic field, the relatively low minor forces of some orders of magnitude can be ignored, only
Electric field force, ion wind-force, magnetic field force and drag need to be considered, then the equation of motion of particle is：
In formula, mpFor powder dust particle quality, kg；ujRepresent particle in the speed in j directions, m/s；QPFor grit surface charge
Amount, C；FjFor ion wind-force.
The solution procedure of 2 application software
2.1 physical models
The board-like ESP of line is made up of parallel dust collecting pole plate and center one group three equidistant corona discharge electrodes, here
It is reduced to 2-D models as shown in Figure 1.Specifically Structure Calculation parameter is：Corona wire is to dust collecting pole plate apart from b=114.3mm；
Corona wire spacing C=152.4mm；Corona polar radius rw(plate)=2.032mm.
2.2 mesh generations
Using Gambit softwares to the simplified model mesh generation shown in Fig. 1,41440 grid cells are divided into altogether, and
Zoning is divided into three corona zones and other parts, as shown in Figure 2.
Ion wind scorpion under 3 different flue gas flow rates
In same operating voltage U=60kV, different flue gas flow rates and whether there is ion wind effect situation under Particle Behavior
Track is as shown in Figure 3.As can be seen from Figure：In same flue gas flow rate, it is considered to the movement locus of the particle under ion wind scorpion
It is more biased towards in dust collection plate, this, which embodies ion wind, certain facilitation for particle capture efficiency；With flue gas flow rate
Reduce, whether there is ion wind scorpion, particle is easier close to dust collection plate, because stopping in the online board-like ESP of particle
The time stayed is elongated, and particle is easily charged, so as to improve trapping effect.
Fig. 4 shows the change for whetheing there is the lower PM2.5 particle capture efficiencies of ion wind effect with flue gas flow rate, can be with from figure
It was found that：
1) with the increase of flue gas flow rate, ion wind action is whether considered, the arresting efficiency of PM2.5 particles is all in
Downward trend, and the trend gradually slows down；
2) arresting efficiency of the lower particle of ion wind effect is considered than not considering the high of ion wind effect, and with flue gas
Difference between the increase of flow velocity, two curves gradually increases, and indicates impact effect of the ion wind scorpion to particle capture efficiency
Improved constantly with the increase of flue gas flow rate.
With reference to Fig. 4, Fig. 5 gives contribution rate of the ion wind to PM2.5 particle capture efficiencies under different flue gas flow rates.Therefrom
It can be found that：Big with the change of flue gas flow rate, ion wind is more and more obvious to the contribution rate of particle capture efficiency, indicates in height
The contribution of the operating mode intermediate ion wind of flue gas flow rate is bigger.
The 4 PM2.5 arresting efficiency contribution rate curve matchings based on POWER function methods
With reference to the data point in Fig. 5, provide ion wind and the contribution rate of PM2.5 particle capture efficiencies is changed with flue gas flow rate
Approximating method, and the precision of matched curve is verified using example.
Ion wind is described to the change of the contribution λs of PM2.5 particle capture efficiencies with flue gas flow rate v using power functions,
Have：
λ (v)=P (v)=avb (6)
In order that fitting precision is higher, it is optimized herein on the basis of power functions, obtains following more accurate
Distribution function：
λ (v)=P (v)=avb+c (7)
In formula, a, b, c are the parameter to be estimated of power functions.Data (the v changed with reference to contribution rate in Fig. 5 with flue gas flow rate
Except=1.5m/s), based on formula (7) and principle of least square method, it can obtain contribution of the ion wind to PM2.5 particle capture efficiencies
The fitting formula that rate changes with flue gas flow rate, be：
λ (v)=P (v)=- 53.49v-0.8421+57.41 (8)
Fig. 6 gives corresponding matched curve, it can be seen that data point is substantially distributed in matched curve, degree of agreement
Preferably.
Example：
When flue gas flow rate is 1.5m/s, the finite element of ion wind scorpion contribution rate is can obtain by this paper calculation procedure
Calculated value, the solid dot that the value corresponds in Fig. 6, contribution rate is λ=19.52011.V=1.5m/s is substituted into formula (8), obtained
Match value to contribution rate is λ*=19.39227.On the basis of FEM calculation value, the contribution of power Function Fittings can obtain
Rate relative error δ is：
As can be seen here, this paper arresting efficiency computational methods and the determination method of power Function Fitting formula are practical
Feasible, for change curve of the arresting efficiency contribution rate under ion wind scorpion with flue gas flow rate, power functions fitting of distribution tool
There is higher fitting precision.
The foregoing is only a specific embodiment of the invention, but protection scope of the present invention is not limited thereto, any
Those familiar with the art the invention discloses technical scope in, various equivalent modifications can be readily occurred in or replaced
Change, these modifications or replacement should be all included within the scope of the present invention.Therefore, protection scope of the present invention should be with right
It is required that protection domain be defined.
Claims (5)
1. a kind of PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions, it is characterised in that including：Building
On the basis of vertical line plate type electrostatic deduster ESP theoretical models and simplified model, simulate and analyze under different flue gas flow rates from
Influence of the sub- wind to PM2.5 particle capture efficiencies, is caught using POWER function pair electrostatic precipitator intermediate ion wind to PM2.5 particles
The contribution rate of collection efficiency is fitted with the change curve of flue gas flow rate, is obtained matched curve, is caught so as to further improve ESP
Collect performance.
2. a kind of PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions according to claim 1,
Characterized in that, described line plate type electrostatic deduster ESP theoretical models are specially：
1) for the board-like ESP of line, under corona stabilization discharge scenario, electric field meets following Poisson's equation and current continuity side
Journey：
▽ U ▽ ρ=ρ2/ε0 (2)
In formula,For electric-field intensity, V/m；U is space potential, V；ρ is space charge density, C/m3；ε0For permittivity of vacuum；
2) ion wind is acted on to the flowing that incompressible, stickiness, stable state are seen in the gas flowing in downstream as, quality is met
Conservation equation and momentum conservation equation, are expressed as：
In formula, ρgFor smoke density, kg/m3；uiAnd ujFor gas velocity, m/s；P is gas average static pressure, Pa；μ and μtRespectively
Aerodynamic force viscosity, kg/ (ms)；ρ is charge density, EjIt is electric-field intensity；FDjIt is aerodynamics drag；Bet
" i " and " j " be variable, i, j=1,2,3 represent x, y, z directions respectively；
3) when considering stress of the dust in particle aerodynamic field, electric field force, ion wind-force, magnetic field force and drag need to only be considered,
Then the equation of motion of particle is：
In formula, mpFor powder dust particle quality, kg；ujRepresent particle in the speed in j directions, m/s；QPFor grit surface charge amount, C；
FjFor ion wind-force.
3. a kind of PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions according to claim 2,
Characterized in that, described line plate type electrostatic deduster ESP simplified models are specially：
The board-like ESP of line constitutes simplified model by parallel dust collecting pole plate and center one group three equidistant corona discharge electrodes,
Using Gambit softwares to simplified model mesh generation, 41440 grid cells are divided into altogether, and zoning is divided into three
Corona zone and other parts.
4. a kind of PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions according to claim 1,
Characterized in that, described simulation and analyzing influence tool of the ion wind to PM2.5 particle capture efficiencies under different flue gas flow rates
Body is：
1) in same operating voltage U=60kV, different flue gas flow rates is drawn and the particle fortune under ion wind effect situation is whether there is
Row track, in same flue gas flow rate, it is considered to which the movement locus of particle is more biased towards in dust collection plate under ion wind scorpion, and this is embodied
Ion wind has certain facilitation for particle capture efficiency；With the reduction of flue gas flow rate, whether there is ion wind
Effect, particle is easier close to dust collection plate, because residence time is elongated in the online board-like ESP of particle, particle is easier by lotus
Electricity, so as to improve trapping effect；
2) it is simulated, obtains with the change of flue gas flow rate to whetheing there is the lower PM2.5 particle capture efficiencies of ion wind effect：
(1) with the increase of flue gas flow rate, ion wind action is whether considered, under the arresting efficiency of PM2.5 particles is all in
The trend of drop, and the trend gradually slows down；
(2) arresting efficiency of the lower particle of ion wind effect is considered than not considering the high of ion wind effect, and with flue gas stream
The increase of speed, the difference between two curves gradually increases, indicate ion wind scorpion to the impact effect of particle capture efficiency with
The increase of flue gas flow rate and improve constantly.
5. a kind of PM2.5 arresting efficiency contribution rate curve-fitting methods based on POWER functions according to claim 1,
Characterized in that, contribution rate of the described utilization POWER function pairs electrostatic precipitator intermediate ion wind to PM2.5 particle capture efficiencies
It is fitted specially with the change curve of flue gas flow rate：
Ion wind is described to the change of the contribution λs of PM2.5 particle capture efficiencies with flue gas flow rate v using power functions, i.e.,
Have：
λ (v)=P (v)=avb (6)
In order that fitting precision is higher, it is optimized on the basis of power functions, obtains following more accurate distribution letter
Number：
λ (v)=P (v)=avb+c (7)
In formula, a, b, c are the parameter to be estimated of power functions.
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Cited By (7)
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| CN107644132A (en) * | 2017-09-18 | 2018-01-30 | 大唐环境产业集团股份有限公司 | A kind of computational methods for being used to simulate energized dust collector efficiency of dust collection |
| CN108363838A (en) * | 2018-01-18 | 2018-08-03 | 上海电力学院 | Temperature effect forecast method in electrostatic precipitator based on ATPSO-SVM models |
| CN108372026A (en) * | 2018-01-18 | 2018-08-07 | 上海电力学院 | Magnetic field effect prediction technique in electrostatic precipitator based on BP neural network |
| CN108465559A (en) * | 2018-03-26 | 2018-08-31 | 上海电力学院 | Pass through the magnetic confinement line plate type electrostatic deduster dust removal method of simplation verification |
| CN110750942A (en) * | 2019-06-10 | 2020-02-04 | 天津大学 | Optimization method of commercial kitchen exhaust air volume based on oil fume collection efficiency |
| CN112487616A (en) * | 2020-11-18 | 2021-03-12 | 中国人民解放军战略支援部队航天工程大学 | LGD theory-based physical model for dielectric constant of electric field control dielectric |
| CN117030553A (en) * | 2023-10-09 | 2023-11-10 | 乌镇实验室 | Particle size measurement and screening collection method for powder particles |
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Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107644132A (en) * | 2017-09-18 | 2018-01-30 | 大唐环境产业集团股份有限公司 | A kind of computational methods for being used to simulate energized dust collector efficiency of dust collection |
| CN107644132B (en) * | 2017-09-18 | 2021-06-11 | 大唐环境产业集团股份有限公司 | Calculation method for simulating dust removal efficiency of electrified dust remover |
| CN108363838A (en) * | 2018-01-18 | 2018-08-03 | 上海电力学院 | Temperature effect forecast method in electrostatic precipitator based on ATPSO-SVM models |
| CN108372026A (en) * | 2018-01-18 | 2018-08-07 | 上海电力学院 | Magnetic field effect prediction technique in electrostatic precipitator based on BP neural network |
| CN108363838B (en) * | 2018-01-18 | 2021-10-08 | 上海电力学院 | Temperature effect prediction method in electrostatic dust collector based on ATPSO-SVM model |
| CN108465559A (en) * | 2018-03-26 | 2018-08-31 | 上海电力学院 | Pass through the magnetic confinement line plate type electrostatic deduster dust removal method of simplation verification |
| CN110750942A (en) * | 2019-06-10 | 2020-02-04 | 天津大学 | Optimization method of commercial kitchen exhaust air volume based on oil fume collection efficiency |
| CN112487616A (en) * | 2020-11-18 | 2021-03-12 | 中国人民解放军战略支援部队航天工程大学 | LGD theory-based physical model for dielectric constant of electric field control dielectric |
| CN112487616B (en) * | 2020-11-18 | 2024-04-09 | 中国人民解放军战略支援部队航天工程大学 | Construction method of dielectric constant physical model of electric field regulation dielectric based on LGD theory |
| CN117030553A (en) * | 2023-10-09 | 2023-11-10 | 乌镇实验室 | Particle size measurement and screening collection method for powder particles |
| CN117030553B (en) * | 2023-10-09 | 2024-03-08 | 乌镇实验室 | Particle size measurement and screening collection method for powder particles |
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