CN102161052A - Hot rolling flat roller play control method - Google Patents
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- CN102161052A CN102161052A CN 201010112396 CN201010112396A CN102161052A CN 102161052 A CN102161052 A CN 102161052A CN 201010112396 CN201010112396 CN 201010112396 CN 201010112396 A CN201010112396 A CN 201010112396A CN 102161052 A CN102161052 A CN 102161052A
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Abstract
The invention discloses a hot rolling flat roller play control method which provides more specific roller play strategies for different tandem rolling plans. The play control method includes the steps of classifying all strip steels of a rolling plan into two categories, a wide plate and a narrow plate, based on a critical width; as to the narrow plate, calculating the roller play positions of all the strip steels in a recursion mode, and then extracting the roller play position of the narrow plate; as to the wide plate, determining a permitted variation range of each roller play position, building an objective function for evaluating the sectional shape of the strip steel based on the rolling plan, and then optimally calculating the roller play position of the wide plate by employing the genetic algorithm. The hot rolling flat roller play control method breaks through the conventional roller play mode by providing more specific roller play strategies for different tandem rolling plans. The strip steels are classified into the wide plate and the narrow plate, and the narrow plate is calculated in a recursion mode, while the wide plate is optimally calculated by the genetic algorithm. Thus, the hot rolling flat roller play control method plays an active role in improving the quality of the strip shape of the tandem rolling strip steel.
Description
Technical field
The present invention relates to hot-strip forming processing technology field, relate in particular to a kind of roll play control method that is used for tandem rolling.
Background technology
Along with the user is more and more higher to the requirement of hot-strip geometric accuracy, the requirement for band steel geometric accuracy now not only is thickness, width, glacing flatness and convexity, pays attention to band steel section configuration more.
Yet in hot-strip finish rolling process, because strip edge portion temperature is relatively low, and the influence of factors such as band steel lateral flow and strip edge portion shape, the wearing and tearing that cause strip edge portion breaker roll are greater than the middle part, form the concentrated wear of so-called limit portion.Particularly when silicon steel and tin plate tandem rolling, prolongation along with rolling milimeter number, roll wear corresponding to strip edge portion zone is increasing with respect to band steel middle part, the result causes roll limit portion serious concentrated wear low spot to occur, be reflected on the band steel and just form section reflex action or local high spot, cause band steel section configuration to worsen.This had both influenced the prolongation of planning rolling milimeter number, had also had a strong impact on the quality of products such as silicon steel, tin plate.In addition, thermal expansion of rollers also can cause same influence to band steel section configuration.
Obtain good hot-strip section configuration, particularly in tandem rolling, still can obtain good band steel section configuration when width bounces and prolong rolling milimeter number, be the difficult problem of hot-strip production field always.For solving this difficult problem, usually can be in the long stroke roll shifting of finish rolling F5-F7 frame outfit system.
The use of roll shifting system the most important thing is determining of roll shifting strategy, present roll shifting strategy of the prior art as shown in Figure 1, be the periodically roll shifting of the permanent scope of fixed step size, this roll shifting pattern control is simple, the uneven problem of solution roll wear that can be to a certain degree, but in actual production, find: along with increasing of rolling volume number, the wearing and tearing of working roll middle section are more and more serious, cause easily roll brokenly, defective such as big Bian Lang periodically, the ordinary production of hot rolling being produced line has caused considerable influence.
Summary of the invention
The objective of the invention is provides a kind of hot rolling plain-barreled roll play control method in order to solve the problem that prior art exists, and determines the roll shifting position of the every winding steel of tandem rolling plan, thereby improves the strip shape quality of band steel.
The objective of the invention is to be achieved through the following technical solutions:
A kind of hot rolling plain-barreled roll play control method may further comprise the steps:
Step 1, with inside the plan all the band steel be divided into wide plate and narrow boards;
Step 2, calculate the roll shifting position of respectively rolling up narrow boards in rolling scaduled:
Calculate the roll shifting position of rolling scaduled interior all band steel earlier by the recursion mode, take out the wherein roll shifting position of narrow boards again, the roll shifting position of wide plate is then calculated by the aftermentioned step;
Described recursion mode is:
1. play step-length: preceding X rolls up per step and scurries 45~55mm, is rolled onto plan from X+1 and finishes per step and scurry 35~45mm;
2. play scope: preceding X volume play scope is the range M of working roll play, and X+1 is rolled onto plan to be finished to be gradually reduced to M/2 from M, and each rolls up play range computation formula,
C=ln(2)/(N-X) (2)
W wherein
1(i) be the play scope of i winding steel, N is the rolling band coil of strip number of plan, and which winding steel i is, C is an attenuation coefficient;
3. play direction: if when continuing after step-length of last winding steel play direction play, will exceed current volume play scope, promptly | sa (i)+d|>w
1(i+1), then reverse roll shifting d=-d, the roll shifting position of current volume is sa (i+1)=sa (i)+d, and wherein d is the play step-length of band direction, and sa (i) and sa (i+1) are respectively the roll shifting position of i volume and i+1 volume, and the 1st batches sa (1)=d;
By above-mentioned recursion mode calculate inside the plan all the band steel the roll shifting position, only take out the roll shifting position that those belong to narrow boards, as the roll shifting position of correspondence band steel;
Step 3, calculate the roll shifting position of respectively rolling up wide plate in rolling scaduled:
Wide plate is then obtained by following optimal way,
Determine that at first respectively rolling up wide plate roll shifting position allows the scope of variation and the object function of optimization,
Each rolls up the scope that variation is allowed in wide plate roll shifting position:
The play scope of wide plate all in 80mm, is satisfied, computing formula simultaneously in the roll shifting position of adjacent two volume narrow boards from front and back
A is the mean breadth of narrow boards,
B is the mean breadth of wide plate,
w
1(i) the play scope that calculates for formula (1),
w
2(i) for each the volume wide plate the play scope,
The object function of optimizing:
To inside the plan each winding steel, considering three band steel section indexs---limit portion is level and smooth, edge drop and equivalent convexity, and each index of weighting obtains the comprehensive section index of this winding steel, computing formula
profile_coil
i=0.5·smooth
i+0.3·edgedrop
i+0.2·crown
i (4)
Wherein, profile_coil
iBe the comprehensive section index of i winding steel, smooth
iFor limit portion is level and smooth, edgedrop
iBe edge drop, crown
iBe equivalent convexity;
To whole rolling scaduled, get the object function of the comprehensive section index mean value of all band steel as tandem rolling roll shifting optimization:
Wherein, fitness is the evaluation of estimate of tandem rolling roll shifting optimization;
After the object function of determining wide plate roll shifting change in location scope and optimization, the optimizing application method calculates the roll shifting position of respectively rolling up wide plate, and the narrow boards roll shifting position that calculates with step 2 is respectively rolled up the precedence combination that wide plate and narrow boards occur and obtained this rolling scaduled roll shifting strategy by rolling scaduled again.
Inside the plan all band steel are divided into main body material and intersection material described in the step 1, intersect material than the wide 200~450mm of main body material.
Described step 1 is specially, select one greater than the main body material and less than intersecting the width of material according to the width of inside the plan each winding steel as critical width, according to critical width inside the plan all band steel are divided into two classes: the band steel greater than critical width is a wide plate, is narrow boards less than the band steel of critical width.
Also comprise the step that hot rolling material all is divided into narrow boards between described definite critical width.
X described in the step 2 gets 12 volumes, and preceding 12 volumes are scurried 50mm in per steps, is rolled onto from the 13rd and finishes per step and scurry 40mm, and the range M of working roll play gets 200mm.
The play of wide plate described in step 3 scope, when the play scope that is calculated by formula (3) during less than 50mm, then the play scope of this volume wide plate is got 50mm.
The steel section of band described in step 3 index one side portion is level and smooth, edge drop and equivalent convexity, and the band steel section lateral thickness difference that causes by roll wear calculates, and the lateral thickness difference of each winding steel is determined by rolling scaduled roll shifting strategy.
Limit portion described in the step 3 is smoothly calculated,
Get the band steel section lateral thickness difference in the 200mm of strip edge portion, every 5mm gets a bit, amounts to 40 points, removes the match lateral thickness difference with quartic polynomial:
y=a
0+a
1·x+a
2·x
2+a
4·x
4 (6)
Wherein, x is the distance of each point from strip edge portion, and y is a lateral thickness difference, a
0, a
1, a
2, a
4Be undetermined coefficient,
The level and smooth index of definition limit portion is:
In the formula, smooth is the level and smooth index of limit portion, y
j *Be the lateral thickness difference actual value that j is ordered,
It is the fitting of a polynomial value that j is ordered.
Hot rolling plain-barreled roll play control method as claimed in claim 1, it is characterized in that, optimization method described in the step 3 is a genetic algorithm, coded system is a binary system, intersection and variation mode are the single-point operation, and selection algorithm is a roulette, and object function is formula (5), be minimum problem, optimize the output result who calculates and roll up the roll shifting position of wide plate for each.
The present invention has broken through traditional roll shifting pattern, for different tandem rolling plans provides roll shifting strategy more targetedly.Characteristics at the tandem rolling strip width alternately changes are divided into wide plate and narrow boards with all band steel, and narrow boards calculates by the recursion mode, compares the play scope with traditional roll shifting and reduces gradually; Wide plate then calculates by genetic algorithm optimization, sets up the object function of estimating band steel section configuration in the plan aspect.Roll play control method provided by the invention has obviously improved the strip shape quality of tandem rolling band steel.
Description of drawings
Fig. 1 is a periodically roll shifting pattern diagram of the permanent scope of existing fixed step size;
Fig. 2 changes schematic diagram for strip width in the tandem rolling;
Fig. 3 rolling scaduled all band steel roll shifting position views for calculating by the recursion mode;
Fig. 4 is this hot rolling plain-barreled roll play control method schematic process flow diagram.
The specific embodiment
Below in conjunction with specific embodiment, further set forth the present invention.Should be understood that these embodiment only to be used to the present invention is described and be not used in and limit the scope of the invention.Should be understood that in addition those skilled in the art can make various changes or modifications the present invention after the content of having read the present invention's statement, these equivalent form of values fall within the application's appended claims institute restricted portion equally.
At first to the tandem rolling plan and how to divide the width plate and describe.
In actual production, run into the requirement of tandem rolling through regular meeting; this moment is in the layout of plan; can break through the strict demand of width to the production free degree; the arrangement principle of " coffin " figure that breaks traditions; width is realized and can be changed freely continuously, is occurring " it is rolling to bounce " and " in batches with wide rolling " in the works.Typical tandem rolling in the works width variation as shown in Figure 2.
Tradition roll shifting strategy does not consider that strip width changes the influence to roll shifting, and the uneven wear that alternately changes (fixing intersection ratio is generally arranged) meeting aggravation working roll of tandem rolling strip width, make the edge that when rolling wide band steel, might be in the roll wear zone, influence the plate shape of follow-up band steel.For this reason, the roll shifting strategy with tandem rolling medium-width strip and ribbon steel separates processing.
In the tandem rolling process, the width of main body material (being generally silicon steel) is basic identical and intersect the width of material (being generally carbon steel) than the wide 200~450mm of main body material, this provides convenience for distinguishing wide plate and narrow boards, select one greater than inside the plan main body material and less than intersecting the width of material as critical width, according to critical width inside the plan all band steel are divided into two classes: the band steel greater than critical width is a wide plate, is narrow boards less than the band steel of critical width.
The wide variety of hot rolling material does not have rule when considering most of rolling scaduled beginning, can not consider the influence of hot rolling material when selecting critical width, simultaneously no matter the width of hot rolling material how, all is divided into narrow boards with hot rolling material.
The following describes the computational methods of narrow boards roll shifting position.
Calculate the roll shifting position of rolling scaduled interior all band steel earlier by the recursion mode, take out the wherein roll shifting position of narrow boards again, the roll shifting position of wide plate is then calculated by the aftermentioned step;
Described recursion mode is:
1. play step-length: preceding X rolls up per step and scurries 45~55mm, is rolled onto plan from X+1 and finishes per step and scurry 35~45mm;
2. play scope: preceding X volume play scope is the range M of working roll play, and X+1 is rolled onto plan to be finished to be gradually reduced to M/2 from M, and each rolls up play range computation formula,
C=ln(2)/(N-X) (2)
W wherein
1(i) be the play scope of i winding steel, N is the rolling band coil of strip number of plan, and which winding steel i is, C is an attenuation coefficient;
3. play direction: if when continuing after step-length of last winding steel play direction play, will exceed current volume play scope, promptly | sa (i)+d|>w
1(i+1), then reverse roll shifting d=-d, the roll shifting position of current volume is sa (i+1)=sa (i)+d, and wherein d is the play step-length of band direction, and sa (i) and sa (i+1) are respectively the roll shifting position of i volume and i+1 volume;
Present embodiment X gets 12 volumes, preceding 12 per steps of volume are scurried 50mm, be rolled onto from the 13rd and finish per step and scurry 40mm, the range M of working roll play gets 200mm, sa (1)=50 is got in the roll shifting position of the 1st winding steel, the 2nd volume sa (2)=sa (1)+50=100, the 3rd volume sa (3)=sa (2)+50=150, the 4th volume sa (4)=sa (3)+50=200, the 5th volume sa (5)=sa (4)+50=250>200, then the 5th volume is wanted reverse roll shifting d=-50, so sa (5)=and sa (4)-50=150, in like manner recursion finishes to plan always, the plan that a rolling volume is counted N=73, the roll shifting position sequence that calculates by the recursion mode as shown in Figure 3, visible play scope is constantly reducing.
By above-mentioned recursion mode can calculate inside the plan all the band steel the roll shifting position, only take out the roll shifting position that those belong to narrow boards, as the roll shifting position of correspondence band steel.
The following describes working roll roll shifting position and how to influence band steel section configuration.
Behind the working roll play, must determine and the osculating element of being with steel reality according to each roll shifting position, and calculate its wear extent.That is to say, the roll shifting determining positions distributing position of wear extent at the roll length direction.Every rolling winding steel can produce certain wearing and tearing on roll, along with rolling scaduled carrying out, the cumulative attrition of roll is exactly each winding steel wear extent stack on barrel length direction respective point, and the accumulation of wearing and tearing makes roller surface uneven.The uneven wear of work roll surface can cause having and carries roll gap and produce distortion, and the roll gap of carrying that has of distortion makes band steel section variation, has influence on the lateral thickness difference of band steel section.That is to say, the roll shifting determining positions lateral thickness difference of the band steel section that causes by working roller abrasion.
In order to quantize of the influence of roll shifting position, introduces three section indexs to band steel section---limit portion smoothly, edge drop and equivalent convexity, each index of weighting obtains the comprehensive section index of this winding steel, computing formula
profile_coil
i=0.5·smooth
i+0.3·edgedrop
i+0.2·crown
i (4)
Wherein, profile_coil
iBe the comprehensive section index of i winding steel, smooth
iFor limit portion is level and smooth, edgedrop
iFor edge drop, crowni are equivalent convexity;
To whole rolling scaduled, get the object function of the comprehensive section index mean value of all band steel as roll shifting optimization:
Wherein, fitness is the evaluation of estimate of tandem rolling roll shifting optimization.
Above-mentioned limit portion is level and smooth, edge drop and equivalent convexity index calculate by the band steel section lateral thickness difference that roll wear causes.
To edge drop and equivalent convexity index, can define routinely by being with steel section lateral thickness difference to calculate; The level and smooth index of opposite side portion:
Get the band steel section lateral thickness difference in the 200mm of strip edge portion, every 5mm gets a bit, amounts to 40 points, removes the match lateral thickness difference with quartic polynomial:
y=a
0+a
1·x+a
2·x
2+a
4·x
4 (6)
Wherein, x is the distance of each point from strip edge portion, and y is a lateral thickness difference, a
0, a
1, a
2, a
4Be undetermined coefficient,
The level and smooth index of definition limit portion is:
In the formula, smooth is the level and smooth index of limit portion, y
j *Be the lateral thickness difference actual value that j is ordered,
It is the fitting of a polynomial value that j is ordered.
The lateral thickness difference of above-mentioned band steel section is calculated by the cumulative attrition and the original roller type of working roll, and the cumulative attrition of working roll is influenced by rolling scaduled roll shifting strategy.Thereby, change rolling scaduled roll shifting strategy, also just changed the section index of each the winding steel that rolls out.
Optimization to wide plate roll shifting position describes below.
Different roll shifting strategies has determined different band steel sections, thereby can be with the steel section preferably by optimizing the roll shifting strategy.
Because the roll shifting position of narrow boards decision in step 2 (being subjected to play step-length and plan effect length), so the adjusting leeway that roll shifting is optimized is mainly at wide plate.
In order to obtain to optimize preferably effect, to allow that the scope of variation carries out meticulously determining that its excursion is subjected to the constraint of two aspects to the individual wide plate roll shifting position of respectively rolling up earlier:
The one, the roll shifting position that satisfy the adjacent two volume narrow boards from front and back is all in 80mm, and this is the requirement of process aspect, because the speed of working roll play is limited, and rolling off time is also shorter.
The 2nd, satisfy the restriction of the play scope of wide plate, the play range computation formula of wide plate
A is the mean breadth of narrow boards,
B is the mean breadth of wide plate,
w
1(i) the play scope that calculates for formula (1),
w
2(i) for each the volume wide plate the play scope.
Since tandem rolling in the works wide plate than the wide 200~450mm of narrow boards, for avoiding the edge in working roller abrasion zone, the play scope of wide plate allow wide plate be in the best roll forming scope of working roll, so will deduct narrow boards and wide plate mean breadth difference half on the narrow boards basis.
But when the play scope that is calculated by formula (3) during less than 50mm, then the play scope of this volume wide plate is got 50mm, and this only occurs in the works in the minority tandem rolling, and doing like this is in order to allow the roll shifting position of this volume wide plate still have certain variation leeway.
After the object function of the excursion of variable to be optimized (respectively rolling up the roll shifting position of wide plate) and optimization is determined, can use genetic algorithm and be optimized.
The genetic algorithm of structure roll shifting optimization problem, coded system is a binary system, and intersection and variation mode are the single-point operation, and selection algorithm is a roulette, and object function is formula (5), is minimum problem.Optimize the output result who calculates and roll up the roll shifting position of wide plate for each.
Each parameter value during concrete optimization, crossover probability gets 0.9, and the variation probability gets 0.01, and population number gets 30, and evolutionary generation gets 50, and when Search Results surpassed predetermined threshold or evolutionary generation and surpasses 50 times, search finished.
At last, the narrow boards roll shifting position that wide plate roll shifting position and step 2 calculate of respectively rolling up of optimization is respectively rolled up the precedence combination that wide plate and narrow boards occur and obtained this rolling scaduled roll shifting strategy by rolling scaduled.
Claims (9)
1. a hot rolling plain-barreled roll play control method is characterized in that, may further comprise the steps:
Step 1, with inside the plan all the band steel be divided into wide plate and narrow boards;
Step 2, calculate the roll shifting position of respectively rolling up narrow boards in rolling scaduled:
Calculate the roll shifting position of rolling scaduled interior all band steel earlier by the recursion mode, take out the wherein roll shifting position of narrow boards again, the roll shifting position of wide plate is then calculated by the aftermentioned step;
Described recursion mode is:
1. play step-length: preceding X rolls up per step and scurries 45~55mm, is rolled onto plan from X+1 and finishes per step and scurry 35~45mm;
2. play scope: preceding X volume play scope is the range M of working roll play, and X+1 is rolled onto plan to be finished to be gradually reduced to M/2 from M, and each rolls up play range computation formula,
C=ln(2)/(N-X) (2)
W wherein
1(i) be the play scope of i winding steel, N is the rolling band coil of strip number of plan, and which winding steel i is, C is an attenuation coefficient;
3. play direction: if when continuing after step-length of last winding steel play direction play, will exceed current volume play scope, promptly | sa (i)+d|>w
1(i+1), then reverse roll shifting d=-d, the roll shifting position of current volume is sa (i+1)=sa (i)+d, and wherein d is the play step-length of band direction, and sa (i) and sa (i+1) are respectively the roll shifting position of i volume and i+1 volume, and the 1st batches sa (1)=d;
By above-mentioned recursion mode calculate inside the plan all the band steel the roll shifting position, only take out the roll shifting position that those belong to narrow boards, as the roll shifting position of correspondence band steel;
Step 3, calculate the roll shifting position of respectively rolling up wide plate in rolling scaduled:
Wide plate is then obtained by following optimal way,
Determine that at first respectively rolling up wide plate roll shifting position allows the scope of variation and the object function of optimization,
Each rolls up the scope that variation is allowed in wide plate roll shifting position:
The play scope of wide plate all in 80mm, is satisfied, computing formula simultaneously in the roll shifting position of adjacent two volume narrow boards from front and back
A is the mean breadth of narrow boards,
B is the mean breadth of wide plate,
w
1(i) the play scope that calculates for formula (1),
w
2(i) for each the volume wide plate the play scope,
The object function of optimizing:
To inside the plan each winding steel, considering three band steel section indexs---limit portion is level and smooth, edge drop and equivalent convexity, and each index of weighting obtains the comprehensive section index of this winding steel, computing formula
profile_coil
i=0.5·smooth
i+0.3·edgedrop
i+0.2·crown
i (4)
Wherein, profile_coil
iBe the comprehensive section index of i winding steel, smooth
iFor limit portion is level and smooth, edgedrop
iBe edge drop, crown
iBe equivalent convexity;
To whole rolling scaduled, get the object function of the comprehensive section index mean value of all band steel as tandem rolling roll shifting optimization:
Wherein, fitness is the evaluation of estimate of tandem rolling roll shifting optimization;
After the object function of determining wide plate roll shifting change in location scope and optimization, the optimizing application method calculates the roll shifting position of respectively rolling up wide plate, and the narrow boards roll shifting position that calculates with step 2 is respectively rolled up the precedence combination that wide plate and narrow boards occur and obtained this rolling scaduled roll shifting strategy by rolling scaduled again.
2. hot rolling plain-barreled roll play control method as claimed in claim 1 is characterized in that: inside the plan all band steel are divided into main body material and intersection material described in the step 1, intersect material than the wide 200~450mm of main body material.
3. hot rolling plain-barreled roll play control method as claimed in claim 2, it is characterized in that: described step 1 is specially, select one greater than the main body material and less than intersecting the width of material according to the width of inside the plan each winding steel as critical width, according to critical width inside the plan all band steel are divided into two classes: the band steel greater than critical width is a wide plate, is narrow boards less than the band steel of critical width.
4. hot rolling plain-barreled roll play control method as claimed in claim 3 is characterized in that: also comprise the step that hot rolling material all is divided into narrow boards between described definite critical width.
5. hot rolling plain-barreled roll play control method as claimed in claim 1 is characterized in that, X described in the step 2 gets 12 volumes, and preceding 12 volumes are scurried 50mm in per steps, is rolled onto from the 13rd and finishes per step and scurry 40mm, and the range M of working roll play gets 200mm.
6. hot rolling plain-barreled roll play control method as claimed in claim 1 is characterized in that, the play of wide plate described in step 3 scope, and when the play scope that is calculated by formula (3) during less than 50mm, then the play scope of this volume wide plate is got 50mm.
7. hot rolling plain-barreled roll play control method as claimed in claim 1, it is characterized in that, the steel section of band described in step 3 index one side portion smoothly, edge drop and equivalent convexity, the band steel section lateral thickness difference that causes by roll wear calculates, and the lateral thickness difference of each winding steel is by rolling scaduled roll shifting strategy decision.
8. hot rolling plain-barreled roll play control method as claimed in claim 5 is characterized in that the limit portion described in the step 3 is smoothly calculated,
Get the band steel section lateral thickness difference in the 200mm of strip edge portion, every 5mm gets a bit, amounts to 40 points, removes the match lateral thickness difference with quartic polynomial:
y=a
0+a
1·x+a
2·x
2+a
4·x
4 (6)
Wherein, x is the distance of each point from strip edge portion, and y is a lateral thickness difference, a
0, a
1, a
2, a
4Be undetermined coefficient,
The level and smooth index of definition limit portion is:
9. hot rolling plain-barreled roll play control method as claimed in claim 1, it is characterized in that, optimization method described in the step 3 is a genetic algorithm, coded system is a binary system, intersection and variation mode are the single-point operation, and selection algorithm is a roulette, and object function is formula (5), be minimum problem, optimize the output result who calculates and roll up the roll shifting position of wide plate for each.
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CN108405632A (en) * | 2018-03-07 | 2018-08-17 | 首钢集团有限公司 | A kind of hot continuous rolling period roller shifting method and device |
CN113263060A (en) * | 2021-04-25 | 2021-08-17 | 北京科技大学设计研究院有限公司 | Roll shifting control method for improving kilometers of rolled working rolls with local bulges of strip steel |
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