CN106582967A - Steel ball supplementing method for double-inlet and double-outlet coal mill - Google Patents

Steel ball supplementing method for double-inlet and double-outlet coal mill Download PDF

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CN106582967A
CN106582967A CN201611156615.9A CN201611156615A CN106582967A CN 106582967 A CN106582967 A CN 106582967A CN 201611156615 A CN201611156615 A CN 201611156615A CN 106582967 A CN106582967 A CN 106582967A
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steel ball
ball
worn
formula
coal
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马达夫
何翔
周文台
魏增涛
孟永杰
张涛
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Shanghai Power Equipment Research Institute Co Ltd
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Shanghai Power Equipment Research Institute Co Ltd
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B02CRUSHING, PULVERISING, OR DISINTEGRATING; PREPARATORY TREATMENT OF GRAIN FOR MILLING
    • B02CCRUSHING, PULVERISING, OR DISINTEGRATING IN GENERAL; MILLING GRAIN
    • B02C17/00Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls
    • B02C17/18Details
    • B02C17/20Disintegrating members
    • B02C17/205Adding disintegrating members to the tumbling mill
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization

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  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Pure & Applied Mathematics (AREA)
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  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Food Science & Technology (AREA)
  • Crushing And Grinding (AREA)
  • Disintegrating Or Milling (AREA)

Abstract

The invention provides a steel ball supplementing method for a double-inlet and double-outlet coal mill. The steel ball supplementing method is characterized by comprising the following steps that the steel ball abrasion condition is calculated according to the steel ball abrasion formula and the steel ball abrasion probability matrix; then a steel ball abrasion rule is obtained in cooperation with the steel ball remaining amount obtained through an in-situ test; and according to the steel ball abrasion rule, in cooperation with the coal mill model and the steel ball ratio, the steel ball abrasion amount at certain moment is deduced in time, and therefore a reasonable ball supplementing suggestion is given out. According to the steel ball supplementing method, a steel ball abrasion mathematic model, the in-situ test and correction of running data on the calculation result are combined to generate the steel ball abrasion rule, and finally the ball supplementing suggestion is given out. Through combination of the three aspects, the calculation accuracy of the steel ball abrasion condition can be greatly improved, and therefore the calculation result is accurate and reliable.

Description

A kind of ball loading method of double inlet and outlet coal mill steel ball
Technical field
The present invention relates to a kind of ball loading method of double inlet and outlet coal mill steel ball.
Background technology
Ball mill pulverizing system is widely used in power plants, its except can grind the preferable coal of grindability with Outward, especially apply also for being difficult to the coal of the anthracite and abrasion index Ke > 3.5 for grinding.The level of steel ball is matched somebody with somebody, weares and teares, tip-in etc. Characteristic is closely related with fineness of pulverized coal, particle size distribution and uniformity characteristics.As low speed coal mill itself has " black box " property Matter, can only judge real gradation differentials, steel by its service data, the coal dust sampled data even screening of falling ball steel ball data The characteristics such as ball wear, and typically macrocyclic test just effectively can be verified.Numerous scholars, engineer are to which both at home and abroad Different aspect has carried out substantial amounts of research.
In terms of sphere diameter, the determination of ball mill and its sphere diameter that China early stage thermal power plant is equipped with is mainly according to front Soviet Union The empirical equation of connection is added certain amendment and is calculated, such as La Sumofu formula, Ao Liefu formula and Bond's formula etc.;Afterwards Reuse also to there is scholar to introduce after some American-European computing formula are modified, such as American-European Allis-Chalmers formula The computing formula carried with the coal pulverizer of Re.Xnord companies;It is domestic it is more famous be that the sphere diameter half that professor Duan Xixiang proposes is managed By formula;Above-mentioned scholar extensive raw coal each grain size intervals of statistics into coal pulverizer for a long time, according to " much broken and lessmill, with The principle of broken generation mill ", it is believed that with the development of technology, the raw coal particle mean size for actually entering coal pulverizer reduces year by year, then The optimization of steel ball sphere diameter selection is carried out from the statistical trends of particle size reduction.
Match somebody with somebody aspect in level, it can be common that isosceles triangle method, arithmetic progression method, multistage trial (chart) method etc..Except this with Outward, because worn steel ball amount is inversely proportional to sphere diameter, scholar thinks that the high performance of milling of big ball ratio is more preferable;And also have scholar to think Bead ratio height can cause bead rum point to increase an order of magnitude, and energy transfer area is expanded, then more have overall economic efficiency. As a whole, the determination method matched somebody with somebody regardless of level, has finally all accumulated three class levels with mode:Spindle-type be (middle sphere diameter Ratio highest), dumb-bell shape (big ball, the ratio highest of bead, the ratio of middle sphere diameter are minimum), wooden club shape (big ball ratio highest, Reduce with sphere diameter, ratio also diminishes).
In terms of tip-in, it is that tip-in is carried out according to coal pulverizer electric current and some empirical datas mostly in unit operation, generally Based on the preferential steel ball for even only adding large ball diameter, easily cause and run under coal pulverizer off-target steel ball assembling coefficient, make Obtain pulverized coal fineness deviation, unit power consumption of coal pulverizing increase.The research of many correlations has been also carried out in industry.The steel ball size that Yu Tao is proposed The probability density matrix of change, has shown that from angle of statistics the external diameter and level that need tip-in match somebody with somebody data;And Ren Zhiyu is from system Steel ball steady wear characteristic equation when the operating condition of meter angle foundation is constant;Also very keep flourish according in matrix theory Pan―grey number is theoretical, establishes and can reflect that the worn steel ball that affect and can embody performance driving economy of working condition parameter is typically counted Learn model;Liu Rujin is on the basis of the formula such as the comprehensive former Soviet Union, it is proposed that balance tip-in method and the reference curve of tip-in, also has Some reference value.
In terms of abrasion, a direction is to study steel ball, the hardness of liner plate different materials, fragility and life-span etc., such as Wang Yan flows the analysis of the lining plate of coal grinder wear reason to Ma Gang steam power plants, it is believed that lining plate of coal grinder material is hard with steel ball material Degree should be controlled between 1: 0.85~0.9;Liu Yuhai thinks using high-quality steel ball that although more expensive the comprehensive benefit but brought is more It is good, test and calculate the economic benefit brought using high-quality steel ball in text in detail, be singly that steel ball cost can be just saved more than 100,000 Unit;Zhao Taiping is optimized to breeze material position supervising device according to the research to different lining materials, reduces ball consumption;Also There is a direction to be then the mathematical model for setting up worn steel ball, carry out substantial amounts of statistical computation, theoretically try to achieve the mill of steel ball Damage amount, then instructs tip-in with this conclusion.
In sum, the sphere diameter of ball mill, level are matched somebody with somebody, are worn and torn and operation maintenance all has substantial amounts of research, but actually Frequently, amplitude of variation is also larger, and the operational factor of coal pulverizer is becoming always, the knot for theoretically obtaining for fired power generating unit load variations Fruit is dfficult to apply in actual production.Carry out low speed coal mill long period maintenance technology research significant, if steel ball Abrasion and tip-in characteristic it is good fit with coal dust each side characteristic, it is possible to reduce unit power consumption of coal pulverizing, reduce worn steel ball consumption, It is finally reached energy-saving purpose.Meanwhile, power plant also obtained correct long period safeguard and tip-in, the time signal of falling ball and Tip-in Gradation Optimization scheme, reaches the purpose for opening low speed coal mill black box.
The content of the invention
The technical problem to be solved in the present invention:Blindly add steel ball in power plant's operation so that coal pulverizer power consumption is bigger than normal, steel ball Wear extent is higher, has a strong impact on coal dust economy fineness, causes combustion case to deteriorate.
In order to solve above-mentioned technical problem, the technical scheme is that there is provided a kind of double inlet and outlet coal mill steel ball Ball loading method, it is characterised in that comprise the following steps:
Worn steel ball situation is calculated by worn steel ball formula and worn steel ball probability matrix, is obtained in conjunction with situ test The steel ball surpluses situation for going out obtains worn steel ball rule, combines coal pulverizer model, steel ball matching according to worn steel ball rule, real When derive worn steel ball amount that some time inscribes, so as to provide reasonable tip-in suggestion, wherein, the steel that current versions coal pulverizer is adopted The total M kinds of the diameter of ball, then:
Worn steel ball formula is formula (1):
In formula (1), ρ represents the density of steel ball, nmRepresent the total number of the steel ball of m kind diameters, φmRepresent m kind diameters Steel ball diameter, XmRepresent the size that the worn steel ball of the kind diameter falls, GmRepresent the original addition of steel ball of m kind diameters When weight, G0The gross weight that the worn steel ball of all M kinds diameters falls is represented, N represents sample point sum;
Effective steel ball size is divided into into n rank, then shown in worn steel ball probability matrix such as formula (2):
In formula (2), pnMT () is represented after t days coal-grindings, the diameter phi of the steel ball of M kind diametersMBecome the n-th rank steel The probability of ball, ynRepresent that the dress ball level of n-th rank steel ball is matched somebody with somebody, xnRepresent that the steel ball level of n-th rank steel ball is matched somebody with somebody.
Preferably, the pnMT the computing formula of () is:
In formula (3), f (d, t, φM) represent M kind diameters steel ball diameter phiMAfter t days coal-grindings, diameter is changed into d's Probability density function, dis, dix are respectively the diameter Lower and upper bounds of n-th rank steel ball.
Preferably, the matrix that weares and teares needs field test to obtain empirical coefficient, with reference to steel ball mathematical model and service data most The steel ball level after t days coal-grindings is obtained eventually to match somebody with somebody, and provides reasonable tip-in suggestion.
Preferably, the specified load ball amount of current versions coal pulverizer is W, and the weight of n rank steel ball is respectively W1, W2..., Wn, then the dress ball level of n-th rank steel ball match somebody with somebody
Preferably, after t days coal-grindings, the weight of n rank steel ball is respectively G1, G2..., Gn, then n-th rank steel The steel ball level of ball is matched somebody with somebody
The present invention is mutually tied to the amendment three of result of calculation with service data by worn steel ball mathematical model, field test The worn steel ball rule for producing is closed, tip-in suggestion is finally given.The combination of three is greatly improved the meter to worn steel ball situation Calculate precision so that result of calculation is accurate, reliable.
Description of the drawings
Fig. 1 is the flow chart of the present invention.
Specific embodiment
Under ground with wherein one of 600MW boilers it is anthracitic original with diameter group 30: 40: 50 (i.e. in the present embodiment Using the diameter of steel ball have 3 kinds, diameter is respectively 30mm, 40mm and 50mm) be respectively 33.43%, 33.43%, The present invention is further illustrated as a example by 33.13% double inlet and outlet coal mill.
The ball loading method of the double inlet and outlet coal mill steel ball that the present invention is provided is ground anthracitic first with certain 600MW unit Certain double inlet and outlet coal mill is background, it is known that led on the conditioned basic such as initial steel ball amount, hours of operation, example time tip-in situation Cross worn steel ball formula and worn steel ball probability matrix calculates worn steel ball situation, remain in conjunction with the steel ball that in situ test draws Surplus situation obtains worn steel ball rule.After obtaining wear law, it is known that certain similar model coal pulverizer and similar steel ball are matched somebody with somebody Worn steel ball amount that some time inscribe easily can be derived than in the case of in real time just, so as to provide reasonable tip-in suggestion.
The present embodiment carries out coal dust sampling in primary wind and powder pipeline vertical tube section, each tube cell is ground per platform and is respectively equipped with one Sampling gun extracts coal dust simultaneously.According to GB DL/T467-2004 testing regulationss, on circular primary air piping, coal dust is sampled diametrically 6 points of upper arrangement, from inside pipe wall to measuring point, distance is respectively:0.032D, 0.135D, 0.321D, 0.679D, 0.865D, 0.968D.Every pipeline sample time is 2 minutes.
Below in conjunction with the characteristic research Ball Mill wear law such as fineness of pulverized coal, pulverized coal fineness.
One) worn steel ball formula
In general, the wear extent of bead is big, and the wear extent of big ball is little.It is in certain cycle of operation, finally that steel ball is complete Pour out and may know that big ball (steel ball of a diameter of 50mm), middle ball (steel ball of a diameter of 40mm), bead (a diameter of 30mm in portion Steel ball) surpluses, also just obtained respective wear extent and respective abrasion size.So by big ball, middle ball, bead Respective surpluses establish an equation:
πρ{n1×[(50-X1)/1000]3}=6 × (G1-GGreatly) (4)
πρ{n2×[(40-X2)/1000]3}=6 × (G2-GIn) (5)
πρ{n3×[(30-X3)/1000]3}=6 × (G3-GIt is little) (6)
Formula (4), (5), in (6):ρ represents the density (units/kg/m of steel ball3), n1, n2, n3Large, medium and small steel is represented respectively The total number of ball, X1, X2, X3The size (unit mm) that large, medium and small worn steel ball falls, G are represented respectively1, G2, G3Represent respectively it is big, In, small ball original addition when weight (unit t), GGreatly, GIn, GIt is littleRemaining weight (the unit of large, medium and small steel ball is represented respectively t)。
After pouring out steel ball, you can try to achieve above-mentioned X1, X2, X3Value, so as to draw change that level is matched somebody with somebody.
But, as all previous tip-in is very big to the impact that whole level is matched somebody with somebody, and ball can not possibly be fallen every time sieving full examination Test.Therefore need to know worn steel ball size substantially.Steel ball average abrasion equation can be derived so from above.There is formula (7)
In formula (7), G0Represent gross weight (the unit t) that large, medium and small worn steel ball falls.It is assumed here that large, medium and small steel ball Respective abrasion size is the same, due to bead number it is many, then it is big to still meet bead wear extent, the little original of big ball wear amount Reason.The change that wear extent, abrasion size and level are matched somebody with somebody can be obtained by formula (7) then.
Two) worn steel ball probability matrix
The result of worn steel ball is that its diameter is reduced with the growth of wearing- in period.For the single steel ball, diameter subtracts It is a stochastic process less.But in specific coal pulverizer, the reduction of steel ball colony diameter then shows very strong statistics spy Levy.Use dzm, m=1,2,3 represent diameter 30mm, 40mm and 50mm, then when loading steel ball size is dzmWhen, with wearing- in period t Change, remain the regularity of distribution that steel ball size in cylinder reduces and also change therewith.The regularity of distribution of steel ball size d in cylinder Usable probability density function f (d, t, dzm) represent.If steel ball size in cylinder is divided into n rank from being up to 0, then Jing After crossing t days coal-grindings, a diameter of dz in cylindermSteel ball become the probability of the other steel ball of i-stage and be:
In formula (8), i=1,2 ..., n, dis, dix are respectively the diameter Lower and upper bounds of i-th rank steel ball.
In the present embodiment, the steel ball equipped with 3 kinds of diameters in cylinder, then after t days coal-grindings, resides in cylinder the The probability of i rank steel ball is:
For coal pulverizer, its specified load ball amount is W, and the weight of n rank steel ball is respectively W1, W2..., Wn, then i-th The dress ball level of individual rank steel ball matches somebody with somebody xiFor:
After coal-grinding t days, the weight for residing in n rank steel ball in cylinder is respectively G1, G2..., Gn, then i-th rank The steel ball level of steel ball matches somebody with somebody yiFor:
According to formula (8)~(11), the mathematics model of stable state that coal pulverizer worn steel ball can be written is:
The physical significance of worn steel ball probability matrix is:
The steel ball of external diameter 50 can wear and tear and become 40~50,30~40,20~30 and useless ball < 20;The steel ball of external diameter 40 Can wear and tear become 30~40,20~30, the useless ball of < 20;The steel ball of external diameter 30 can only wear and tear become 20~30 and < 20 it is useless Ball.But as 30 ball milling needs at least more than 6000 or even 7000 hours into the useless ball of < 20.Therefore this abrasion matrix is ignored The useless ball of < 20 is worn into, that is, is thought in rational cycle of operation (such as 1 year), the steel ball of 3 kinds of external diameters is also unlikely to wear into < 20 useless ball.
So 50 steel ball maximum possible is to wear and tear into 40~50, followed by 30~40, be finally 20~30 amount to 3 it is general Rate;40 steel ball maximum possible is to wear and tear into 30~40, followed by 20~30 to amount to 2 probability;30 steel ball wears into 20~30 1 probability altogether, and it is equal to 1.Then at least need 5 equations to solve 5 probability unknown numbers.
It is to be understood that probability matrix, it must be understood that the level after abrasion matches somebody with somebody matrix, the level takes advantage of original level to match somebody with somebody matrix with the matrix right side, just Abrasion probability matrix is obtained.Can find in terms of being initially added steel ball, the screening of falling ball surplus, all previous tip-in and recording these Three groups of linear relationships, you can carry out the solution of above-mentioned matrix.
Three) tip-in suggestion
The unit consumption of steel ball calculates and can transfer macrocyclic coal pulverizer accumulation coal-supplying amount, Cumulative Elapsed Time, be initially added Steel ball amount, all previous tip-in amount and the screening of falling ball surpluses are tried to achieve to calculate.I.e.:
Surplus (t) (13) during steel ball consumption=initial input ball amount (t)+all previous tip-in weight (t)-sieve ball
Accumulation coal-supplying amount=accumulation effective run time (h) × average coal-supplying amount Q (t/h) (14)
Then:
Steel ball unit consumption K=steel ball consumption/accumulation coal-supplying amount (g/t) (15)
So often consuming 1t steel balls or the effective run time of 3t steel balls is:
T=1/KQ (h) (16)
With:
T=3/KQ (h) (17)
This can just calculate the coal pulverizer effective run time of every consumption 1t or 3t steel balls, can mend to during the time Ball.

Claims (3)

1. a kind of ball loading method of double inlet and outlet coal mill steel ball, it is characterised in that comprise the following steps:
Worn steel ball situation is calculated by worn steel ball formula and worn steel ball probability matrix, is drawn in conjunction with situ test Steel ball surpluses situation obtains worn steel ball rule, combines coal pulverizer model, steel ball matching according to worn steel ball rule, pushes away in real time The worn steel ball amount that the derivation some time inscribes, so as to provide reasonable tip-in suggestion, wherein, the steel ball that current versions coal pulverizer is adopted The total M kinds of diameter, then:
Worn steel ball formula is formula (1):
π ρ Σ m = 1 M { n m × [ ( φ m - X m ) / 1000 ] 3 } = N × ( Σ m = 1 M G m - G 0 ) - - - ( 1 )
In formula (1), ρ represents the density of steel ball, nmRepresent the total number of the steel ball of m kind diameters, φmRepresent the steel of m kind diameters The diameter of ball, XmRepresent the size that the worn steel ball of m kind diameters falls, GmRepresent weight during the original addition of steel ball of m kind diameters Amount, G0The gross weight that the worn steel ball of all M kinds diameters falls is represented, N represents sample point sum;
Effective steel ball size is divided into into n rank, then shown in worn steel ball probability matrix such as formula (2):
y 1 y 2 ... y n = p 11 ( t ) 0 ... 0 p 21 ( t ) p 22 ( t ) ... 0 ... ... ... ... p n 1 ( t ) p n 2 ( t ) ... p n M ( t ) x 1 x 2 ... x n - - - ( 2 )
In formula (2), pnMT () is represented after t days coal-grindings, the diameter phi of the steel ball of M kind diametersMBecome the n-th rank steel ball Probability, ynRepresent that the dress ball level of n-th rank steel ball is matched somebody with somebody, xnRepresent that the steel ball level of n-th rank steel ball is matched somebody with somebody.
2. a kind of ball loading method of double inlet and outlet coal mill steel ball as claimed in claim 1, it is characterised in that the pnM(t) Computing formula be:
p n M ( t ) = ∫ d i x d i s f ( d , t , φ M ) d d - - - ( 3 )
In formula (3), f (d, t, φM) represent M kind diameters steel ball diameter phiMAfter t days coal-grindings, diameter is changed into the probability of d Density function, dis, dix are respectively the diameter Lower and upper bounds of n-th rank steel ball.
3. a kind of ball loading method of double inlet and outlet coal mill steel ball as claimed in claim 1, it is characterised in that abrasion matrix is needed Want field test to obtain empirical coefficient, the steel ball level after t days coal-grindings finally given with reference to steel ball mathematical model and service data and is matched somebody with somebody, Provide reasonable tip-in suggestion.
CN201611156615.9A 2016-12-14 2016-12-14 Steel ball supplementing method for double-inlet and double-outlet coal mill Pending CN106582967A (en)

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CN111085308A (en) * 2019-12-25 2020-05-01 北京耐磨矿冶能效技术研究院有限公司 Equal-area ball filling and supplementing method for primary ball filling of ball mill in concentrating mill
CN111468250A (en) * 2020-06-05 2020-07-31 大唐华银株洲发电有限公司 Low-speed steel ball-milling sectional type ball feeding device and method
CN114471845A (en) * 2022-02-15 2022-05-13 福建长泰万泰矿物制品有限公司 Silica grinding method
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CN115337999A (en) * 2022-08-29 2022-11-15 河北西柏坡第二发电有限责任公司 Calculation method for steel ball amount periodically replenished by steel ball coal mill

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Publication number Priority date Publication date Assignee Title
CN110108631A (en) * 2019-05-20 2019-08-09 上海应用技术大学 The prediction technique of stainless steel tube service life in a kind of coal damping machine
CN110108631B (en) * 2019-05-20 2021-11-19 上海应用技术大学 Prediction method for service life of stainless steel pipe in coal conditioner
CN111085308A (en) * 2019-12-25 2020-05-01 北京耐磨矿冶能效技术研究院有限公司 Equal-area ball filling and supplementing method for primary ball filling of ball mill in concentrating mill
CN111468250A (en) * 2020-06-05 2020-07-31 大唐华银株洲发电有限公司 Low-speed steel ball-milling sectional type ball feeding device and method
CN114471845A (en) * 2022-02-15 2022-05-13 福建长泰万泰矿物制品有限公司 Silica grinding method
CN114471845B (en) * 2022-02-15 2023-02-10 福建长泰万泰矿物制品有限公司 Silica grinding method
CN114505145A (en) * 2022-02-24 2022-05-17 江西理工大学 Method for accurately assembling ceramic balls
CN115283094A (en) * 2022-07-06 2022-11-04 国能龙源环保有限公司 Method and device for controlling number of steel balls of ball mill, electronic equipment and storage medium
CN115283094B (en) * 2022-07-06 2023-08-11 国能龙源环保有限公司 Method and device for controlling number of steel balls of ball mill, electronic equipment and storage medium
CN115337999A (en) * 2022-08-29 2022-11-15 河北西柏坡第二发电有限责任公司 Calculation method for steel ball amount periodically replenished by steel ball coal mill
CN115337999B (en) * 2022-08-29 2023-10-20 河北西柏坡第二发电有限责任公司 Method for periodically supplementing steel ball for steel ball coal mill

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