CN102397886B - System for correcting plate detection error due to transverse temperature difference of cold-rolled strip - Google Patents
System for correcting plate detection error due to transverse temperature difference of cold-rolled strip Download PDFInfo
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- CN102397886B CN102397886B CN201110314505.1A CN201110314505A CN102397886B CN 102397886 B CN102397886 B CN 102397886B CN 201110314505 A CN201110314505 A CN 201110314505A CN 102397886 B CN102397886 B CN 102397886B
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Abstract
A system for correcting plate detection error due to transverse temperature difference of cold-rolled strip comprises a strip-steel online temperature collecting module for receiving the temperature value signals Ti (i=1, 2, 3, 4, 5) of any five different positions in the width direction of strip steel and the coordinate signals Xi (i=1, 2, 3, 4, 5) thereof; a calculating module of fitted coefficient of strip-steel online temperature distribution curve for receiving Ti and Xi, using one step to four steps of Legendre orthogonal polynomial as the primary function to approximate the strip-steel transverse temperature distribution curve and then calculating the fitted coefficient a of each step; a plate characteristic point coordinate reading module in correspondence with the strip-steel basic aim curve for reading the characteristic point coordinates Y={y k}, (k=1, 2, Lambda, n); a correcting module for the plate measuring error due to transverse temperature difference of strip steel, which is used for receiving a and Y, correcting the plate measuring signal and outputting the transverse temperature difference compensation rate C={c k}, (k=1, 2, Lambda, n); and a corrected result implementation module.
Description
Technical field
The present invention relates to the production of cold-strip steel, refer to particularly a kind of update the system of plate detection errors caused by horizontal temperature difference of cold-rolling strip steel.
Background technology
It is the important technology guarantee of producing high-quality cold-rolled steel strip products that plate shape closed loop feedback is controlled.At present, domestic and international advanced rolling mill production line exports the on-line measurement of Shape signal mostly at milling train exit configuration contact plate profile instrument, then send the Shape signal measuring in real time to plat control system with completion system closed loop control function.Can find out, the precision of Shape signal is just directly connected to the quality that plate shape is controlled effect.
In cold rolled strip steel production process, due to operation roll of mill from there is frictional force and skewness between steel, different with the horizontal different parts heat transfer conditions of steel, milling train cooling fluid sectional ejecting cooling system control accuracy is lower and have compared with the extensive existence of the reasons such as large time delay the temperature additional stress that causes outlet to produce with steel exists transverse temperature difference.In actual production, if do not consider to be with the compensation of steel transverse temperature difference, detect after the good cooling samming of band steel, by the flatness defect there will be clearly online.
Initial band steel transverse temperature difference compensation method thinks that belt steel temperature is with steel center line symmetrical relatively, can utilize second order or quadravalence multinomial to simulate belt steel temperature Transverse functions.But according to the actual fact, cold rolling mill outlet is normally irregular with the temperature cross direction profiles of steel, and therefore this band steel transverse temperature difference compensation method unreasonable, has larger defect.In order to solve this technical barrier, the researcher in cold-strip steel field started to adopt the function is comprised of to quadravalence multinomial single order to approach to be with steel transverse temperature to distribute in recent years, the plate shape that compensating band steel transverse temperature difference causes is to a certain extent detected error, but this method has two weakness: 1) when calculating each order fitting coefficient, need to measure compared with the temperature value of the horizontal different parts of multi-group steel, amount of calculation is larger, be unfavorable for compensation method in line computation and application; 2) the transverse temperature difference compensated curve of deriving with steel transverse temperature distribution function by its matching does not usually meet the horizontal internal stress of band steel from phase balance condition.The final use of considering temperature difference compensation curve in plat control system is and the superimposed acquisition flatness object curve of plate shape elementary object curve, from rolling mill practice flatness object curve, need to meet the horizontal internal stress of band steel from phase balance condition, if because temperature difference compensation curve does not meet and causes the horizontal internal stress of band steel of flatness object curve to be damaged from phase balance condition with the horizontal internal stress of steel from phase balance condition, will control and cause adverse effect cold-rolled strip steel shape.
In sum, the desirable compensation method for plate detection errors caused by horizontal temperature difference of cold-rolling strip steel need to possess following three technical conditions simultaneously: 1) milling train outlet band steel transverse temperature is distributed and has good approximation capability; 2) on-line calculation is little, convenient and swift, meets the real-time specification requirement of plat control system to online calculation procedure; 3) gained compensated curve should meet the horizontal internal stress of band steel from phase balance condition.Because traditional band steel transverse temperature difference compensation method can not meet above three technical conditions simultaneously, can not fast and effeciently eliminate the plate shape causing with steel transverse temperature difference and detect error, therefore existing cold-rolled strip steel shape measuring system conventionally can not be for plat control system provides the not high accuracy Shape signal of tape steel transverse temperature difference impact, and this also becomes a technical barrier that hinders the raising of cold-rolled strip steel shape quality.Therefore, develop the update the system that a kind of plate shape can effective compensation transverse temperature difference causing detects error and there is very high value.
Summary of the invention
Technical problem to be solved by this invention is just to provide a kind of update the system of plate detection errors caused by horizontal temperature difference of cold-rolling strip steel, can realize by less amount of calculation, simulating milling train outlet and with steel transverse temperature, distribute and obtain and meet with the horizontal internal stress of steel the cold-strip steel transverse temperature difference compensated curve from phase balance condition, the plate shape that cold-strip steel transverse temperature difference is caused is detected error and is carried out effective compensation.
For solving the problems of the technologies described above, the update the system of a kind of plate detection errors caused by horizontal temperature difference of cold-rolling strip steel provided by the invention, comprising:
Band steel online temperature collect module, for receiving the temperature value signal T of any five different parts in the strip width direction that infrared radiation thermometer surveys out online
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5);
The online temperature distribution history fitting coefficient of band steel computing module, for receiving temperature value signal T
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5), take single order, second order, three rank and quadravalence Legendre orthogonal polynomial to approach band steel transverse temperature distribution curve as basic function, and with the calculating of each order fitting coefficient of the online temperature distribution history of steel a:
With plate shape characteristic point coordinate figure read module corresponding to this aim curve of base steel, for reading, be stored in plate shape and control roll in Computer Database with plate shape characteristic point coordinate figure Y={y corresponding to this aim curve of base steel
k, (k=1,2, Λ, n), wherein n is plate shape characteristic point number;
With steel transverse temperature difference, cause the correcting module of plate shape measurement error, for each order fitting coefficient of the online temperature distribution history of receiving belt steel a with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, the mechanism model that causes plate shape measurement error according to transverse temperature difference is revised plate shape measurement signal, output transverse temperature difference compensation rate C={c
k, (k=1,2, Λ, n);
Correction result is realized module, be used for receiving transverse temperature difference compensation rate C, transverse temperature difference compensation rate C, according to being embedded into one by one in the design of cold-strip steel elementary object plate shape curve with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, is completed to the correction-compensation function to plate detection errors caused by horizontal temperature difference of cold-rolling strip steel.
In the online temperature collect module of described band steel of technique scheme, in selected strip width direction, five different thermometrics positions are laterally uniformly distributed.
In the online temperature distribution history fitting coefficient of the described band steel computing module of technique scheme, the basic function P about temperature survey point coordinates X that single order, second order, three rank and quadravalence Legendre orthogonal polynomial are determined
j(X) (j=1,2,3,4) are:
Wherein B is the width of roll with steel, and X is for take the temperature survey point coordinates in the reference axis that the origin of coordinates, close milling train transmission side direction are positive direction with steel transverse center point.
Technique scheme described causes that with steel transverse temperature difference in the correcting module of plate shape measurement error, transverse temperature difference causes that the mechanism model of plate shape measurement error is:
Wherein, y is the coordinate figure of any one plate shape characteristic point, α
tfor the linear expansion coefficient of roll with steel, E is the elasticity modulus of materials of roll with steel, and v is the material Poisson's ratio of roll with steel.
The described correction result of technique scheme realize module according to the size order with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel just transverse temperature difference compensation rate C be added to successively on plate shape basic standard curve, complete the correction-compensation function to plate detection errors caused by horizontal temperature difference of cold-rolling strip steel.
Compared with prior art, beneficial effect of the present invention is: utilize the single order meet Orthogonal Decomposition condition to quadravalence Legnedre polynomial for basic function is with effectively the approaching of steel transverse temperature distribution function, resulting compensated curve meets the horizontal internal stress of band steel automatically from phase balance condition; Fitting coefficient only needs to measure the temperature value of five different parts of strip width direction in line computation, so amount of calculation is little, meets the real-time specification requirement of plat control system to online supercomputing program; Transverse temperature difference compensated curve is directly embedded in the middle of flatness object curve setting, has conveniently completed the correction-compensation function that transverse temperature difference is caused to the plate shape measurement temperature difference.
Accompanying drawing explanation
Fig. 1 is the structured flowchart of one embodiment of the invention;
Fig. 2 is the fundamental diagram of Fig. 1 system;
Fig. 3 is the band steel transverse temperature scatter chart of Fig. 1 system matching constantly;
Fig. 4 is the band steel transverse temperature difference compensated curve figure that Fig. 1 system obtains.
The specific embodiment
Below in conjunction with accompanying drawing, specific embodiments of the invention are described in further detail:
As shown in Figure 1, the update the system of a kind of plate detection errors caused by horizontal temperature difference of cold-rolling strip steel of the present invention, comprising:
Band steel online temperature collect module, for receiving the temperature value signal T of any five different parts in the strip width direction that infrared radiation thermometer surveys out online
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5);
The online temperature distribution history fitting coefficient of band steel computing module, is connected with the above-mentioned signal output part with the online temperature collect module of steel, for receiving temperature value signal T
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5), take single order, second order, three rank and quadravalence Legendre orthogonal polynomial to approach band steel transverse temperature distribution curve as basic function, and with the calculating of each order fitting coefficient of the online temperature distribution history of steel a:
Wherein, the basic function P about temperature survey point coordinates X that single order, second order, three rank and quadravalence Legendre orthogonal polynomial are determined
j(X) (j=1,2,3,4) are:
In formula, B is the width of roll with steel, and X is for take the temperature survey point coordinates in the reference axis that the origin of coordinates, close milling train transmission side direction are positive direction with steel transverse center point.
With plate shape characteristic point coordinate figure read module corresponding to this aim curve of base steel, for reading, be stored in plate shape and control roll in Computer Database with plate shape characteristic point coordinate figure Y={y corresponding to this aim curve of base steel
k, (k=1,2, Λ, n), wherein n is plate shape characteristic point number;
With steel transverse temperature difference, cause the correcting module of plate shape measurement error, be connected with the output with plate shape characteristic point coordinate figure read module corresponding to this aim curve of base steel with the online temperature distribution history fitting coefficient of steel computing module with above-mentioned, for each order fitting coefficient of the online temperature distribution history of receiving belt steel a with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, the mechanism model that causes plate shape measurement error according to transverse temperature difference is revised plate shape measurement signal, output transverse temperature difference compensation rate C={c
k, (k=1,2, Λ, n), wherein, transverse temperature difference causes that the mechanism model of plate shape measurement error is:
In formula, y is the coordinate figure of any one plate shape characteristic point, α
tfor the linear expansion coefficient of roll with steel, E is the elasticity modulus of materials of roll with steel, and v is the material Poisson's ratio of roll with steel;
Correction result is realized module, be used for receiving transverse temperature difference compensation rate C, transverse temperature difference compensation rate C, according to being embedded into one by one in the design of cold-strip steel elementary object plate shape curve with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, is completed to the correction-compensation function to plate detection errors caused by horizontal temperature difference of cold-rolling strip steel.
Based on update the system of the present invention, can be used for four rollers, six roller single chassis or multi-frame tandem mills.The single chassis six-high cluster mill of take is below example, and the product that six-high cluster mill can rolling comprises common plate, high-strength steel, part stainless steel and silicon steel etc.The present embodiment rolling be middle high grade silicon steel, basic mechanical design feature index and the device parameter of this unit are:
Raw material coil of strip: high grade non-oriented silicon steel (35W270~400 and 50W270~400);
Raw thickness: 1.8~2.5mm;
Raw material width: 850~1280mm;
Outgoing gauge: 0.3mm~1.0mm;
Important technological parameters: mill speed: Max 900m/min, draught pressure: Max 18000KN, coiling tension: Max220KN, main motor current: 5500KW;
Elasticity modulus of materials with steel: 2.06 * 10
5;
Material Poisson's ratio with steel: 0.3;
Linear expansion coefficient with steel: when temperature is 20~300 ℃, 12.1 * 10
-6~13.5 * 10
-6between, and raise and be increase trend with temperature;
Outlet belt steel surface temperature: 230 ℃ of Max, select the PT10AF1 model of the small portable infrared radiation thermometer Portix B series that German Kai Le company manufactures with the online temperature measuring instrument of steel, temperature-measuring range is-30~400 ℃.
As shown in Figure 2, the course of work of utilizing the present embodiment to carry out error correction is:
1) the temperature value signal T of five different parts in the strip width direction of surveying out online with the online temperature collect module reception of steel infrared radiation thermometer
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5).Five different parts point for measuring temperature positions choosing in the present embodiment are respectively: band steel laterally near the marginal position of fore side, band steel laterally near fore side 1/4 width position, band steel transverse center point position, band steel laterally near the marginal position of transmission side 1/4 width position, the laterally close transmission side of band steel.The band steel transverse center point of take is the origin of coordinates, near transmission side direction, is positive direction, and in conjunction with rolled strip width (this example strip width 1250mm), the coordinate of above-mentioned five different parts is respectively: X
1=-625mm, X
2=-312.5mm, X
3=0mm, X
4=312.5mm, X
5=625mm, the temperature value that certain thermometric is measured by infrared radiation thermometer is constantly: T
1=126 ℃, T
2=129 ℃, T
3=135 ℃, T
4=132 ℃, T
5=128 ℃;
2) the online temperature distribution history fitting coefficient of band steel computing module receives said temperature value signal T
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5), take single order, second order, three rank and quadravalence Legendre orthogonal polynomial to approach band steel transverse temperature distribution curve as basic function, and with the calculating of each order fitting coefficient of the online temperature distribution history of steel a:
Wherein, P
j(X
i) (j=1,2,3,4; I=1,2,3,4,5) be respectively by single order, second order, three rank and quadravalence Legendre orthogonal polynomial, determined about i temperature survey point coordinates X
ibasic function, its form is as follows:
In formula, B represents rolled strip width.This process is output as the online temperature distribution history single order of band steel to quadravalence fitting coefficient a
j(j=1,2,3,4).Fig. 3 has illustrated the band steel transverse temperature scatter chart after the thermometric moment five temperature values and matching, and as seen from the figure, native system can carry out good approach to asymmetric Temperature Distribution;
3) with plate shape characteristic point coordinate figure read module corresponding to this aim curve of base steel, read and be stored in plate shape and control roll in Computer Database with plate shape characteristic point coordinate figure Y={y corresponding to this aim curve of base steel
k, (k=1,2, Λ, n), wherein n is plate shape characteristic point number.This aim curve of band base steel is according to the determined band steel expectation of rolling mill practice requirement exit plate shape, existing plat control system is all to determine several plate shape characteristic points according to rolled strip width and plate profile instrument measured zone width magnitude relationship, with the expectation exit plate shape at these plate shape characteristic point places, is worth to characterize this aim curve of band base steel.After setting, these plate shape characteristic point coordinate figures and be stored in plate shape and control in Computer Database;
4) with steel transverse temperature difference, cause each order fitting coefficient of the online temperature distribution history of correcting module receiving belt steel a of plate shape measurement error
j(j=1,2,3,4) and with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, cause that according to transverse temperature difference the mechanism model of plate shape measurement error is revised plate shape measurement signal, output transverse temperature difference compensation rate C={c
k, (k=1,2, Λ, n).Wherein the compensation rate computing formula at k plate shape characteristic point place is:
In formula, y
kbe the coordinate figure of k plate shape characteristic point, α
tfor the linear expansion coefficient of roll with steel, E is the elasticity modulus of materials of roll with steel, and v is the material Poisson's ratio of roll with steel.Fig. 4 has provided the band steel transverse temperature difference compensated curve figure calculating according to above-mentioned, can find out qualitatively, and band steel transverse temperature difference compensated curve meets the horizontal internal stress of band steel from phase balance condition.
5) correction result is realized module and is received transverse temperature difference compensation rate C, transverse temperature difference compensation rate C, according to being embedded into one by one in the design of cold-strip steel elementary object plate shape curve with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, being completed transverse temperature difference is caused to plate shape is detected the correction-compensation of error.
Above embodiment is only for illustrating calculating thought of the present invention and feature; its object is to make those skilled in the art can understand content of the present invention and implement according to this; protection scope of the present invention is not limited to above-described embodiment; for example: five positions measuring temperature value are not limited to being uniformly distributed in preferred embodiment, get arbitrarily five different coordinates and all can wait.So the disclosed principle of all foundations, equivalent variations or the modification that mentality of designing is done, all within protection scope of the present invention.
Claims (4)
1. a update the system for plate detection errors caused by horizontal temperature difference of cold-rolling strip steel, is characterized in that, it comprises:
Band steel online temperature collect module, for receiving the temperature value signal T of any five different parts in the strip width direction that infrared radiation thermometer surveys out online
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5);
The online temperature distribution history fitting coefficient of band steel computing module, for receiving temperature value signal T
i(i=1,2,3,4,5) and position coordinates signal X thereof
i(i=1,2,3,4,5), take single order, second order, three rank and quadravalence Legendre orthogonal polynomial to approach band steel transverse temperature distribution curve as basic function, and with the calculating of each order fitting coefficient of the online temperature distribution history of steel a:
The basic function P about temperature survey point coordinates X that described single order, second order, three rank and quadravalence Legendre orthogonal polynomial are determined
j(X) (j=1,2,3,4) are:
Wherein B is the width of roll with steel, and X is for take the temperature survey point coordinates in the reference axis that the origin of coordinates, close milling train transmission side direction are positive direction with steel transverse center point;
With plate shape characteristic point coordinate figure read module corresponding to this aim curve of base steel, for reading, be stored in plate shape and control roll in Computer Database with plate shape characteristic point coordinate figure Y={y corresponding to this aim curve of base steel
k, (k=1,2 ..., n), wherein n is plate shape characteristic point number;
With steel transverse temperature difference, cause the correcting module of plate shape measurement error, for each order fitting coefficient of the online temperature distribution history of receiving belt steel a with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, the mechanism model that causes plate shape measurement error according to transverse temperature difference is revised plate shape measurement signal, output transverse temperature difference compensation rate C={c
k, (k=1,2 ..., n);
Correction result is realized module, be used for receiving transverse temperature difference compensation rate C, transverse temperature difference compensation rate C, according to being embedded into one by one in the design of cold-strip steel elementary object plate shape curve with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, is completed to the correction-compensation function to plate detection errors caused by horizontal temperature difference of cold-rolling strip steel.
2. the update the system of plate detection errors caused by horizontal temperature difference of cold-rolling strip steel according to claim 1, is characterized in that: in the online temperature collect module of described band steel, in selected strip width direction, five different thermometrics positions are laterally uniformly distributed.
3. the update the system of plate detection errors caused by horizontal temperature difference of cold-rolling strip steel according to claim 1, is characterized in that: in the described correcting module that causes plate shape measurement error with steel transverse temperature difference, transverse temperature difference causes that the mechanism model of plate shape measurement error is:
Wherein, y is the coordinate figure of any one plate shape characteristic point, P
j(y) (j=1,2,3,4) are single order, second order, three rank and the definite basic function of quadravalence Legendre orthogonal polynomial, α
tfor the linear expansion coefficient of roll with steel, E is the elasticity modulus of materials of roll with steel, and ν is the material Poisson's ratio of roll with steel.
4. the update the system of plate detection errors caused by horizontal temperature difference of cold-rolling strip steel according to claim 1, it is characterized in that: described correction result is realized module and according to the size order with plate shape characteristic point coordinate figure Y corresponding to this aim curve of base steel, transverse temperature difference compensation rate C is added on plate shape basic standard curve successively, completes the correction-compensation function to plate detection errors caused by horizontal temperature difference of cold-rolling strip steel.
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CN109078990B (en) * | 2018-09-12 | 2020-07-28 | 杭州电子科技大学 | Synchronous online detection device for temperature and plate shape of hot-rolled plate strip |
CN110899339A (en) * | 2019-12-04 | 2020-03-24 | 广西柳州银海铝业股份有限公司 | Rolling mill thermal imaging plate shape control method |
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