CN113617856A - Roll bending force comprehensive optimization method of cold continuous rolling unit with dynamic roll gap control as target - Google Patents
Roll bending force comprehensive optimization method of cold continuous rolling unit with dynamic roll gap control as target Download PDFInfo
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Abstract
The invention relates to the technical field of cold continuous rolling, and discloses a roll bending force comprehensive optimization method of a cold continuous rolling unit by taking dynamic roll gap control as a target, which comprises the following steps: (a) collecting the equipment parameters of 1 to 5 frames in the rolling process of the cold continuous rolling unit, and mainly comprising the following steps: diameter D of working roll of each framewkDiameter D of intermediate rollmkDiameter D of the support rollerbkThe roll profile of each machine frame working roll is distributed by delta DwkiMiddle roll profile distribution Δ DmkiRoll profile distribution Delta D of support rollbkiLength L of working roll body of each framewkLength L of intermediate roll bodymkLength L of the roll body of the supporting rollbkThe interval l between the screw pressing of each machine framewkMiddle distance l between the middle rollers and the screwmkThe interval l between the support roller and the screwbk(ii) a The invention fully considers the reason that the hot convexity is increased along with the rolling time in the rolling process of the cold continuous rolling mill set to cause the insufficient quality of the outlet plate shape, and the invention is used for the loaded roller by researching the bending force of the working roller and the bending force of the intermediate rollerAnd establishing a corresponding roll bending force optimization model under the influence of dynamic change of the gap.
Description
Technical Field
The invention relates to the technical field of cold continuous rolling, in particular to a roll bending force comprehensive optimization method of a cold continuous rolling unit by taking dynamic roll gap control as a target.
Background
In the cold continuous rolling production process, the outlet plate shape condition of the cold continuous rolling mill is directly related to the dynamic distribution of an on-load roll gap, the on-load roll gap is influenced by rolling process parameters and the roll shape condition, the roll bending force of a cold continuous rolling mill set has two modes of adjusting the change of the dynamic on-load roll gap, namely work roll bending force adjustment and middle roll bending force adjustment, and once the roll bending force is set, the change cannot be changed in the rolling process. In addition, in the rolling process, the thermal crown is increased along with the rolling time, if the thermal crown is increased too much, the plate shape can generate middle waves, in order to eliminate the influence of the thermal crown on the loaded roll gap as much as possible, the dynamic change of the loaded roll gap can be adjusted by changing the bending roll force of the working roll and the middle roll, so that the change of the loaded roll gap is minimized in the rolling process, and the aim of improving the plate shape is fulfilled. Based on the method, the equipment and process characteristics of the cold continuous rolling mill set are comprehensively considered, the roll bending force is optimized by considering the control problem of an objective function on the basis of taking the minimum dynamic change of the loaded roll gap in the rolling process as a control target, and the optimization method for controlling the loaded roll gap of the cold continuous rolling mill set is established.
Disclosure of Invention
Technical problem to be solved
Aiming at the defects of the prior art, the invention provides a roll bending force comprehensive optimization method of a cold continuous rolling unit by taking dynamic roll gap control as a target.
(II) technical scheme
In order to achieve the purpose, the invention provides the following technical scheme: the roll bending force comprehensive optimization method of the cold continuous rolling unit with the dynamic roll gap control as the target comprises the following steps:
(a) collecting the equipment parameters of 1 to 5 frames in the rolling process of the cold continuous rolling mill groupMainly comprises the following steps: diameter D of working roll of each framewkDiameter D of intermediate rollmkDiameter D of the support rollerbkThe roll profile of each machine frame working roll is distributed by delta DwkiMiddle roll profile distribution Δ DmkiRoll profile distribution Delta D of support rollbkiLength L of working roll body of each framewkLength L of intermediate roll bodymkLength L of the roll body of the supporting rollbkThe interval l between the screw pressing of each machine framewkMiddle distance l between the middle rollers and the screwmkThe interval l between the support roller and the screwbkMinimum bending force delta of working rolls of each machine framekminAnd maximum roll bending force deltakmaxMaximum bending force S of the intermediate rollkminWith minimum roll bending force Skmax；
(b) Collecting key rolling process parameters at different rolling time in the rolling process of the cold continuous rolling unit, and transversely distributing the thickness h of the material coming from the ith rackiTransverse distribution value L of incoming sheetiWidth B of strip, coefficient of friction μiResistance to deformation kiStrength of the strip, 1 to 5 unit front tension σ of each standi0Unit back tension sigma with each frame i11 to 5 maximum and minimum values delta of the bending force of the working rolls of the standimax、δiminAnd 1 to 5 maximum and minimum values S of the bending force of the intermediate roll of the standimax、Simin(ii) a Optimum work roll bending force deltakyAnd intermediate roll bending force Sky(ii) a Working roll bending coefficient lambda of 1 to 5 framesiAnd 1 to 5 frame intermediate roll bending coefficient betaiAnd the optimized step length of the bending force of the working roll of 1 to 5 frames is deltaiAnd 1 to 5 frame intermediate roll bending force optimization step length is delta SiDefining control objective function G (X), etc.;
(c) initializing working roll bending force optimization coefficient lambda1＝0、λ2＝0、λ3＝0、λ4＝0、λ5Entering step (d) when the value is 0;
(d) calculating the bending force of the working roll
Then go to step(e)；
(e) Initializing intermediate roll bending force optimization coefficient beta1＝0、β2＝0、β3＝0、β4＝0、β50, then go to step (f);
(f) calculating the bending force of the intermediate roll
Then to step (g);
(g) calculating the on-load roll gap G (X) according to the following specific formula, and then going to step (h)
Transversely dividing an on-load roll gap into N sections, longitudinally dividing the whole roll of strip steel into N sections, and establishing a dynamic on-load roll gap optimization objective function G (X) of each machine frame, wherein the dynamic on-load roll gap optimization objective function G (X) is represented by the following formula:
(h) determining whether the target function G (X) is minimum, if yes, making delta1y＝δ1、δ2y＝δ2、δ3y＝δ3、δ4y＝δ4、δ5y＝δ5、S1y＝S1、S2y＝S2、S3y＝S3、S4y＝S4、S5y＝S5Then, step (i) is carried out for judgment, otherwise, step (i) is directly carried out;
(i) and determining delta1<δ1max、δ2<δ2max、δ3<δ3max、δ4<δ4max、δ5<δ5maxIf it is true, let λ1＝λ1+1、λ2＝λ2+1、λ3＝λ3+1、λ4＝λ4+1、λ5＝λ5+1 to step (d); otherwise, entering the step (j);
(j) and judging S1<S1max、S2<S2max、S3<S3max、S4<S4max、S5<S5maxIf true, let β1＝β1+1、β2＝β2+1、β3＝β3+1、β4＝β4+1、β5＝β5+1 to step (f); otherwise, entering the step (k);
(k) outputting the optimal working roll bending force delta meeting the optimization objective functionkAnd intermediate roll bending force Sk。
Preferably, in the step (b), i in the ith rack is 1 to 5, δimax、δimin、Simax、Simin、λi、βi、Δδi、ΔSiWherein i is 1, 2, 3, 4, 5, δky、SkyWherein k is 1, 2, 3, 4, 5.
Preferably, Δ δ in the formula is calculated in the step (d)1、Δδ2、Δδ3、Δδ4、Δδ5And Δ S in the formula calculated in step (f)1、ΔS2、ΔS3、ΔS4、ΔS5Are all set optimal step lengths.
Preferably, ξ in the calculation formula in step (g) is a dynamic roll gap weighting coefficient, α is a lateral loaded roll gap weighting coefficient, and β is a longitudinal loaded roll gap weighting coefficient.
(III) advantageous effects
The invention provides a roll bending force comprehensive optimization method of a cold continuous rolling unit by taking dynamic roll gap control as a target, which has the following beneficial effects:
the invention fully considers the reason that the hot convexity is increased along with the rolling time in the rolling process of the cold continuous rolling mill set to cause the insufficient quality of the outlet plate shape, establishes a corresponding bending force optimization model by researching the influence of the bending force of the working rolls and the bending force of the intermediate rolls on the dynamic change of the loaded roll gap, eliminates the influence of the hot convexity on the loaded roll gap as much as possible by introducing the bending coefficients of the working rolls and the intermediate rolls of the cold continuous rolling mill set and setting corresponding optimization step length, realizes the control of the loaded roll gap of each rack in the cold continuous rolling process, improves the actual production efficiency and quality, and brings certain economic benefit to the mill set.
Drawings
FIG. 1 is a schematic flow chart of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The present invention will be described in detail with reference to fig. 1 by taking a five-stand six-roll cold continuous rolling mill as an example
Example 1: selecting DT0144D1 steel grade with the specification of 1488mm in width and 0.654mm in thickness
Firstly, collecting the equipment parameters of each frame of the cold continuous rolling mill group in the step (a): the five stands of the equipment are six-roller mills, and the working roll diameter d of 5 standswDiameter d of five frames of intermediate rolls of 475mmcDiameter d of support roller of 5 stands of 530mmb1370mm, maximum rolling force Pmax2700t, working roll body length l of five standswLength l of middle roller body of five frames 2000mmc2010mm supporting roll body length l of five framesb1990mm, working roll bearing seat center distance Lw4070mm, center distance L of bearing seat of intermediate rollc4070mm, support roller bearing seat center distance Lb4070mm, the elastic modulus E of the working roll 210Gpa, and the poisson ratio ν of the working roll 0.3;
then in the steps (b) and (c), collecting rolling process parameters of each rack of the five-rack cold continuous rolling mill set, and taking j as 1; 1, the inlet thickness of the strip at the set speed of the frame is 3.381mm, and the outlet thickness of the strip is 2.037 mm; 1-5 front tension sigma of frame when rolling speed is set for uniti0{322,240,183,138,51}, KN; back tension sigmai1＝{207,322240,183,138}, KN; 1-5 set rolling speed of stand
mpm; 1-5 coefficient of friction on the 1 st segment of the gantryi0.055,0.0290.02,0.012,0.013 }; average deformation resistance k of the strip in the 1 st section of the 1-5 stand during rollingi{619,766,850,967,998}, Mpa; 1-5 frame 1 section strip steel back tension sigmai1,1-203, 319,240,183,136, KN; front tension sigma of strip steel on the 1 st section of the 1-5 standi0,1319,240,183,136, 50, KN; 1-5 frame 1 section equivalent tension psii1-241.5,297.4, 222.9,169.5,111.9, KN; 1-5 frame 1 section strip steel unit back tension sigmai1,d1139.1, 216.4,161.3,123,92.7, }, Mpa; 1-5 frame 1 st section unit front tension sigmai0,d1{216.4,161.3,123,92.7, 34.3}, Mpa; the minimum value of the bending force of the working roll of the 1-5 frames is deltaimin0.2,0.2,0.25,0.3,0.2 }; 1-5 frames with a maximum working roll bending force deltaimax0.8,0.7,0.6,0.6,0.5 }; the minimum value of the bending force of the intermediate roll of the 1-5 frames is Simin0.2, 0.22, 0.24, 0.25,0.2 }; 1-5 frames with the maximum value of the bending force of the intermediate roll being Simax0.6, { 0.65, 0.6,0.5, 0.45 }; roll bending force optimization coefficient lambda of initialized working rolli0,0,0,0, the step size calculated is 0.01;
subsequently in step (d), the work roll bending force is calculated
The roll bending forces of the working rolls of 1 to 5 frames are respectively calculated to be deltai0.302,0.302,0.298,0.363,0.216, and proceeds to step (f);
subsequently in step (e), the intermediate roll bending force optimization coefficient beta is initialized1＝0、β2＝0、β3＝0、β4＝0、β5＝0；
Subsequently in step (f), calculating the intermediate roll bending force
The bending forces of the intermediate rolls of 1 to 5 frames are respectively Si＝{0.271,0.271,0.271,0.290,0.225}；
Then in step (g), dividing the loaded roll gap into 5 sections in the transverse direction, dividing the whole roll of strip steel into 100 sections in the longitudinal direction, and establishing a dynamic loaded roll gap optimization objective function of each machine frame
Calculating to obtain the dynamic roll gap of 1 to 5 frames
Then in step (h), the minimum establishment of the target function G (X) is judged, and delta is made1y＝δ1、δ2y＝δ2、δ3y＝δ3、δ4y＝δ4、δ5y＝δ5、S1y＝S1、S2y＝S2、S3y＝S3、S4y＝S4、S5y＝S5And (ii) proceeding to step (i);
subsequently in step (i), δ is judged1<δ1max、δ2<δ2max、δ3<δ3max、δ4<δ4max、δ5<δ5maxIf the judgment result is not true, entering the step (j);
subsequently in step (j), S is judged1<S1max、S2<S2max、S3<S3max、S4<S4max、S5<S5maxIf the judgment result is not true, entering the step (k);
subsequently in step (k), the optimal work roll bending force δ satisfying the optimization objective function is outputk0.302,0.302,0.298,0.363,0.216 and intermediate roll bending force Sk＝{0.271,0.271,0.271,0.290,0.225}。
Example 2: selecting DP0161D1 steel with specification of 1721mm in width and 0.765mm in thickness
Firstly, collecting the equipment parameters of each frame of the cold continuous rolling mill group in the step (a): the five stands of the equipment are six-roller mills, and the working roll diameter d of 5 standswDiameter d of five frames of intermediate rolls of 475mmcDiameter d of support roller of 5 stands of 530mmb1370mm, maximum rolling force Pmax2700t, working roll body length l of five standswLength l of middle roller body of five frames 2000mmc2010mm supporting roll body length l of five framesb1990mm, working roll bearing seat center distance Lw4070mm, center distance L of bearing seat of intermediate rollc4070mm, support roller bearing seat center distance Lb4070mm, the elastic modulus E of the working roll 210Gpa, and the poisson ratio ν of the working roll 0.3;
then in the steps (b) and (c), collecting rolling process parameters of each rack of the five-rack cold continuous rolling mill set, and taking j as 1; 1, the inlet thickness of the strip at the set speed of the frame is 3.730mm, and the outlet thickness of the strip is 2.691 mm; 1-5 front tension sigma of frame when rolling speed is set for uniti0644,446,307,227,70, KN, rear tension σ of the respective gantryi1-290, 644,446,307,227}, KN; 1-5 set rolling speed of stand
mpm; 1-5 coefficient of friction on the 1 st segment of the gantryi0.053,0.024, 0.014,0.013,0.173 }; average deformation resistance k of the strip in the 1 st section of the 1-5 stand during rollingi{582,701,774,825,839}, Mpa; 1-5 frame 1 section strip steel back tension sigmai1,1-287, 640,442,299,224, KN; front tension sigma of strip steel on the 1 st section of the 1-5 standi0,1-640, 442,299,224, 68, KN; 1-5 frame 1 section equivalent tension psii1-396.2,584.6, 404.3,283,179.9, KN; 1-5 frame 1 section strip steel unit back tension sigmai1,d1168.5, 374.2,259.1, 178.4,132, Mpa; 1-5 frame 1 st section unit front tension sigmai0,d1＝{374.2,259.1，178.4,132，40.7}，Mpa; the minimum value of the bending force of the working roll of the 1-5 frames is deltaimin0.3,0.28,0.32,0.3,0.3 }; 1-5 frames with a maximum working roll bending force deltaimax0.8,0.9,0.9,0.75,0.75 }; the minimum value of the bending force of the intermediate roll of the 1-5 frames is Simin0.5,0.6, 0.6, 0.62, 0.55 }; 1-5 frames with the maximum value of the bending force of the intermediate roll being Simax0.85,0.95, 0.90, 0.90, 0.86 }; roll bending force optimization coefficient lambda of initialized working rolli0,0,0,0, the step size calculated is 0.01;
subsequently in step (d), the work roll bending force is calculated
The roll bending forces of the working rolls of 1 to 5 frames are respectively calculated to be deltai{0.408,0.379,0.423,0.387,0.398}, and proceed to step (f);
subsequently in step (e), the intermediate roll bending force optimization coefficient beta is initialized1＝0、β2＝0、β3＝0、β4＝0、β5＝0；
Subsequently in step (f), calculating the intermediate roll bending force
The bending forces of the intermediate rolls of 1 to 5 frames are respectively Si＝{0.666,0.751，0.702，0.709，0.68}；
Then in step (g), dividing the loaded roll gap into 5 sections in the transverse direction, dividing the whole roll of strip steel into 100 sections in the longitudinal direction, and establishing a dynamic loaded roll gap optimization objective function of each machine frame
Calculating to obtain the dynamic roll gap of 1 to 5 frames
Then in step (h), the minimum establishment of the target function G (X) is judged, and delta is made1y＝δ1、δ2y＝δ2、δ3y＝δ3、δ4y＝δ4、δ5y＝δ5、S1y＝S1、S2y＝S2、S3y＝S3、S4y＝S4、S5y＝S5And (ii) proceeding to step (i);
subsequently in step (i), δ is judged1<δ1max、δ2<δ2max、δ3<δ3max、δ4<δ4max、δ5<δ5maxIf the judgment result is not true, entering the step (j);
subsequently in step (j), S is judged1<S1max、S2<S2max、S3<S3max、S4<S4max S4<S4max S4<S4max、S5<S5maxIf the judgment result is not true, entering the step (k);
subsequently in step (k), the optimal work roll bending force δ satisfying the optimization objective function is outputk0.408,0.379,0.423,0.387,0.398 and an intermediate roll bending force Sk＝{0.666,0.751，0.702，0.709，0.68}。
It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus.
Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.
Claims (4)
1. The roll bending force comprehensive optimization method of the cold continuous rolling unit by taking dynamic roll gap control as a target is characterized by comprising the following steps of: the method comprises the following steps:
(a) collecting the equipment parameters of 1 to 5 frames in the rolling process of the cold continuous rolling unit, and mainly comprising the following steps: diameter D of working roll of each framewkDiameter D of intermediate rollmkDiameter D of the support rollerbkThe roll profile of each machine frame working roll is distributed by delta DwkiMiddle roll profile distribution Δ DmkiRoll profile distribution Delta D of support rollbkiLength L of working roll body of each framewkLength L of intermediate roll bodymkLength L of the roll body of the supporting rollbkThe interval l between the screw pressing of each machine framewkMiddle distance l between the middle rollers and the screwmkThe interval l between the support roller and the screwbkMinimum bending force delta of working rolls of each machine framekminAnd maximum roll bending force deltakmaxMaximum bending force S of the intermediate rollkminWith minimum roll bending force Skmax；
(b) Collecting key rolling process parameters at different rolling time in the rolling process of the cold continuous rolling unit, and transversely distributing the thickness h of the material coming from the ith rackiTransverse distribution value L of incoming sheetiWidth B of strip, coefficient of friction μiResistance to deformation kiStrength of the strip, 1 to 5 unit front tension σ of each standi0Unit back tension sigma with each framei11 to 5 maximum and minimum values delta of the bending force of the working rolls of the standimax、δiminAnd 1 to 5 maximum and minimum values S of the bending force of the intermediate roll of the standimax、Simin(ii) a Optimum work roll bending force deltakyAnd intermediate roll bending force Sky(ii) a Working roll bending coefficient lambda of 1 to 5 framesiAnd 1 to 5 frame intermediate roll bending coefficient betaiAnd the optimized step length of the bending force of the working roll of 1 to 5 frames is deltaiAnd 1 to 5 machinesThe optimized step length of the bending force of the intermediate roll is delta SiDefining control objective function G (X), etc.;
(c) initializing working roll bending force optimization coefficient lambda1＝0、λ2＝0、λ3＝0、λ4＝0、λ5Entering step (d) when the value is 0;
(d) calculating the bending force of the working roll
Then to step (e);
(e) initializing intermediate roll bending force optimization coefficient beta1＝0、β2＝0、β3＝0、β4＝0、β50, then go to step (f);
(f) calculating the bending force of the intermediate roll
Then to step (g);
(g) calculating the on-load roll gap G (X) according to the following specific formula, and then going to step (h)
Transversely dividing an on-load roll gap into N sections, longitudinally dividing the whole roll of strip steel into N sections, and establishing a dynamic on-load roll gap optimization objective function G (X) of each machine frame, wherein the dynamic on-load roll gap optimization objective function G (X) is represented by the following formula:
(h) determining whether the target function G (X) is minimum, if yes, making delta1y＝δ1、δ2y＝δ2、δ3y＝δ3、δ4y＝δ4、δ5y＝δ5、S1y＝S1、S2y＝S2、S3y＝S3、S4y＝S4、S5y＝S5Then, step (i) is carried out for judgment, otherwise, step (i) is directly carried out;
(i) and determining delta1<δ1max、δ2<δ2max、δ3<δ3max、δ4<δ4max、δ5<δ5maxIf it is true, let λ1＝λ1+1、λ2＝λ2+1、λ3＝λ3+1、λ4＝λ4+1、λ5＝λ5+1 to step (d); otherwise, entering the step (j);
(j) and judging S1<S1max、S2<S2max、S3<S3max、S4<S4max、S5<S5maxIf true, let β1＝β1+1、β2＝β2+1、β3＝β3+1、β4＝β4+1、β5＝β5+1 to step (f); otherwise, entering the step (k);
(k) outputting the optimal working roll bending force delta meeting the optimization objective functionkAnd intermediate roll bending force Sk。
2. The method for comprehensively optimizing the bending force of a cold continuous rolling mill group aiming at dynamic roll gap control according to claim 1, characterized in that: in the step (b), i in the ith rack is 1-5 and deltaimax、δimin、Simax、Simin、λi、βi、Δδi、ΔSiWherein i is 1, 2, 3, 4, 5, δky、SkyWherein k is 1, 2, 3, 4, 5.
3. The method for comprehensively optimizing the bending force of a cold continuous rolling mill group aiming at dynamic roll gap control according to claim 1, characterized in that: delta delta in the formula calculated in the step (d)1、Δδ2、Δδ3、Δδ4、Δδ5And Δ S in the formula calculated in step (f)1、ΔS2、ΔS3、ΔS4、ΔS5Are all set optimal step lengths.
4. The method for comprehensively optimizing the bending force of a cold continuous rolling mill group aiming at dynamic roll gap control according to claim 1, characterized in that: xi in the calculation formula in the step (g) is a weighting coefficient of the dynamic roll gap, alpha is a weighting coefficient of the transverse loaded roll gap, and beta is a weighting coefficient of the longitudinal loaded roll gap.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114309084A (en) * | 2021-12-15 | 2022-04-12 | 鞍钢股份有限公司 | Bending roll compensation method of cold continuous rolling unit based on incoming material section shape |
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