CN107442577A - A kind of fine-rolling strip steel sharing of load establishing method - Google Patents
A kind of fine-rolling strip steel sharing of load establishing method Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/16—Control of thickness, width, diameter or other transverse dimensions
- B21B37/18—Automatic gauge control
- B21B37/20—Automatic gauge control in tandem mills
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/58—Roll-force control; Roll-gap control
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Abstract
The present invention relates to a kind of fine-rolling strip steel sharing of load establishing method, mainly solve that each frame roll-force rate fluctuations are big when rolling conditions change in existing pressure allocation model, when rolling force model deviation is big in roll-force allocation model the distribution of each frame thickness fluctuate big technical problem.The inventive method, comprise the following steps：S1, the thickness for calculating by pressure allocation model each frame of finish rolling are distributed, and the reduction ratio distribution coefficient of each frame is taken out from pressure distribution coefficient table, the reduction ratio and exit thickness of pressure distribution are obtained according to the reduction ratio distribution coefficient of each frame；S2, to depress allocation result as initial value, the drafts of each frame is iterated to calculate by roll-force allocation model, until roll-force ratio meets target call；S3, amplitude limiting processing is carried out to rolling force mode allocation result, and carry out relativization calculating.The inventive method improves fine-rolling strip steel rolling procedure setting accuracy and rolling stability.
Description
Technical field
The present invention relates to hot-rolling plate strip to produce control field, and control field is produced in particular to fine-rolling strip steel,
More particularly to a kind of fine-rolling strip steel sharing of load establishing method.
Background technology
In hot strip rolling unit, the formulation of rolling procedure plays an important role for improving product quality, and its is reasonable
Whether, the stability of difficulty or ease, unit maintainability and production process that height, rolling equipment to product quality adjust is equal
Have a direct impact.Sharing of load is the core of rolling procedure, and it directly influences the product qualities such as plate shape, thickness of slab precision, load
Distribution also has a major impact to item indexs such as required power, roller consumption, the stability of production process and operating rates.From 60 years 20th century
Started for former empirical table method, the load distribution method of hot strip rolling unit mainly experienced energy consumption method, dynamic load
Several stages such as distribution method, sharing of load Y-factor method Y, artificial intelligence approach.
Sharing of load Y-factor method Y is to modernize the method that hot tandem sharing of load generally uses, and it presses certain load
Distribution coefficient gives the drafts and rolled piece thickness of each frame.Sharing of load coefficient is referred to other similar with specification of kind
Hot rolling mill determines, can also be determined using the method for offline optimization.Sharing of load Y-factor method Y mainly depress allocation model with
Roll-force allocation model two types, both respective advantage and disadvantage are as follows：
The advantages of depressing allocation model is that each frame thickness distribution fluctuation is small, and calculating process is simple；Shortcoming is to roll
Each frame roll-force rate fluctuations are big when situation changes (such as roll change), it is impossible to eliminate roll-force and hang upside down, it is impossible to ensure product plate shape；
The advantages of roll-force is distributed is the down ratio substantially constant that can keep each frame roll-force, is advantageous to product plate shape and rolling
Stability；Shortcoming is that each frame thickness distribution fluctuation greatly, calculates when rolling force model deviation is big or process conditions change greatly
Process is complicated.
Chinese patent CN 102728624A, a kind of fine-rolling strip steel sharing of load establishing method, disclosed technical scheme is will
Depress distribution and roll-force allocation model combines, roll-force allocation result, phase are constrained with the distribution of pressure distribution determination
There are many improvement than original finish rolling load distribution method, but limitation also be present：A pressure is provided with calculation procedure
Rate distribution coefficient learning link, the fluctuation for depressing distribution coefficient list data is easily caused in actual production, causes milling train to be grasped
Make personnel to judge sharing of load data by accident；Amplitude limit link uses the multiplication modulo of same percentage to institute's organic frame
Formula, first, not embodying the difference of forward frame and rear frame, (forward frame reduction ratio allows the scope of fluctuation big, and rear portion
Frame reduction ratio allows the scope of fluctuation small), second, multiplication modes are not also directly perceived, it is impossible to directly judge that each frame reduction ratio becomes
The specific scope changed.
The content of the invention
It is an object of the invention to provide a kind of fine-rolling strip steel sharing of load establishing method, mainly solves existing pressure distribution mould
Each frame roll-force rate fluctuations are big when rolling conditions change in formula, each when rolling force model deviation is big in roll-force allocation model
Big technical problem is fluctuated in the distribution of frame thickness, so as to improve fine-rolling strip steel rolling procedure setting accuracy and rolling stability.
The purpose of the present invention is achieved through the following technical solutions：A kind of fine-rolling strip steel sharing of load establishing method, bag
Include following steps：
S1, the thickness distribution by pressure allocation model calculating each frame of finish rolling, each frame is taken out from pressure distribution coefficient table
Reduction ratio distribution coefficient, according to the reduction ratio distribution coefficient of each frame obtain pressure distribution reduction ratio and exit thickness；
S2, to depress allocation result as initial value, the drafts of each frame is iterated to calculate by roll-force allocation model, until
Roll-force ratio meets target call, first, the other essence of equivalent layer is taken out from course of hot rolling control computer technological procedure table
Roll the roll-force distribution coefficient of each frame, and read operation work intervention value；Then, the absolute draft of each frame of finish rolling is iterated to calculate
Amount, the requirement until reaching target roll-force ratio；Finally, judge whether roll-force and absolute draft amount transfinite, transfinite, repair
Change distribution coefficient to iterate to calculate again；
S3, amplitude limiting processing is carried out to rolling force mode allocation result, and carry out relativization calculating, obtained with the distribution of pressure pattern
The reduction ratio obtained is benchmark, if the reduction ratio that rolling force mode distributes to obtain exceeds its certain limit, is limited
In boundary；If without departing from scope, rolling force mode allocation result is taken.
The step S1 comprises the following steps：
S11, table is taken, according to the steel grade major class, level of thickness and width class information of current rolled band steel, from course of hot rolling
The reduction ratio distribution coefficient of the other finish rolling F1-F7 frames of equivalent layer is taken out in control computer technological procedure tableI is frame
Number；
S12, relativization calculating is carried out, the overall reduction of finish rolling is necessarily equal to according to the drafts sum of each frame of finish rolling,
Obtain the proportional factor r of reduction ratiokFor：
Wherein, hnFor finish to gauge thickness, h0For workpiece thickness；
N is finishing pass number；
B=0.906501, a=0.959597；
Reduction ratio after relativizationFor：
According to the reduction ratio after relativization, the exit thickness of above n-1 frame can obtain：
I=1,2 ..., n-1, formula 3
Wherein hiFor the exit thickness of the i-th frame.
The step S2 comprises the following steps：
S21, roll-force distribution coefficient is got, according to the steel grade major class and level of thickness information of current strip, from hot rolling
The roll-force distribution coefficient of each frame of the other finish rolling of equivalent layer is taken out in process machine technological procedure table；
S22, operation correcting process is carried out, obtain the revised roll-force distribution coefficient of roll-force of each frame, slave unit
Operational control picture HMI is collected into the modifying factor of each frame, and revised roll-force distribution coefficient is：
Wherein,For the roll-force distribution coefficient before amendment,For revised roll-force distribution coefficient, ζiFor modifying factor
Son, span are -20%~20%,
Again normalization data, i.e.,αiFor the roll-force distribution coefficient after normalization；
S23, the roll-force of each frame of finish rolling and roll-force are calculated under current thickness distribution to the derivative of absolute draft amount,
Calculate roll-force：Assuming thatFor the roll-force of the i-th frame iteration j, in the case where other technological parameters are fixed, rolling
Power is the function of inlet thickness and exit thickness, that is, is existed：
Calculate derivative of the roll-force to absolute draft amountCalculation formula：
Wherein, wherein dt is the disturbance of very little, can use 1%；For the absolute draft amount of i-th+1 iteration of frame jth,
S24, according to the roll-force of above-mentioned each frame and roll-force to the result of calculation of absolute draft amount derivative, calculate each machine
The correction value of frame absolute draft amount,
Wherein,For the correction value of the absolute draft amount of i-th+1 iteration of frame jth；
S25, the correction value of each frame absolute draft amountAfter obtaining, the renewal of each frame absolute draft amount is calculated
Value,
Wherein dampjFor damped coefficient, dampj=damp_mpy β+(1- β) (1-e-j),
Damp_mpy takes 1.0, β to take 0.6；
S26, after the renewal of each frame absolute draft amount is worth to, calculates the exit thickness of each frame, that is, calculates jth+1 time
The exit thickness of iteration
And (workpiece thickness) is known quantity, according toCalculated from F1 frames to F7 frames,
The updated value of each rack outlet thickness can be calculated, this value will be used for next iteration and calculate roll-force use, whereinFinger i-th-
The exit thickness of 1+1 iteration of frame jth；
S27, judges whether roll-force ratio meets the condition of convergence, and the condition of convergence of roll-force distribution iterative calculation is：
Wherein, τ is the positive number of very little, can use 0.01；Formula 7 is set up, or iterations j terminates more than when setting number
Iterative calculation, otherwise continue executing with S23, Simultaneous Iteration number j cumulative 1；After iterative calculation terminates, the absolute of each frame can obtain
DraftsAnd exit thickness
If roll-force ratio meets the condition of convergence in S28, above-mentioned steps S27, then judge that each frame roll-force of finish rolling is
The no maximum rolling force allowed more than equipment,
Transfinited if there is roll-force, when the roll-force of the i-th frame exceedes the maximum rolling force of equipment permissionWhen, then
The roll-force distribution coefficient of (reduction) frame is adjusted, the distribution coefficient of remaining frame does not adjust, existed
Then perform
Wherein, αiFor the roll-force distribution coefficient after the normalization, α 'iFor the roll-force distribution coefficient after adjustment of transfiniting；
α′iStep S23 is returned to after obtaining, with the roll-force distribution coefficient α ' after adjustmentiAbsolute draft amount is re-started to change
In generation, calculates, Simultaneous Iteration number j assignment 0, takes the absolute draft amount of step S27 last time iterationAnd exit thickness
As absolute draft amount and the initial value of exit thickness；
If roll-force does not transfinite, next step is directly performed；
S29, the iterative calculation of absolute draft amount and inspection of transfiniting terminate, obtain roll-force allocation result, take each machines of step S27
The exit thickness of frame last time iterationFor the exit thickness of each frame roll-force distribution, each frame is calculated accordingly and rolls
The reduction ratio of power distribution processedIn formula,Refer to the exit thickness of i-th -1+1 iteration of frame jth；
The step S3 comprises the following steps：
S31, amplitude limiting processing is done to roll-force allocation result, amplitude limiting processing is carried out as the following formula,
WhereinThe the i-th frame reduction ratio distributed for pressure pattern,For the i-th frame pressure of rolling force mode distribution
Rate,For the i-th frame reduction ratio after amplitude limiting processing,For the amplitude limit control parameter of the i-th frame, 1%~10% is typically taken；When
Each frameIt is complete pressure pattern allocation result when taking 0；
S32, relativization calculating is carried out to the reduction ratio after amplitude limiting processing, if reduction ratio is changed in above-mentioned steps S31,
There can be certain deviation between the finish to gauge thickness and target finish to gauge thickness that are then calculated, also to carry out wheel relativization calculating；
Relativization calculating process is identical with the relativization process that pattern is depressed in step S12, it is only necessary to willInstead of formula 1
InIt can obtain step S32 relativization factor r 'k, each frame reduction ratio finally distributed is：
WhereinFor the i-th frame reduction ratio finally distributed, takeAs each frame reduction ratio finally distributed, accordingly may be used
The exit thickness of each frame among calculating：
I=1,2 ..., n-1 formula 11
According to each frame reduction ratio finally distributedThe rolling of fine-rolling strip steel is carried out with the exit thickness of middle each frame
Sharing of load setup algorithm.
Formula 5 in step S24 of the present invention is the result according to derived from one kind improves Newton methods, from the pressure of each passage
The n nonlinear equations tieed up are changed into n one-dimensional nonlinear equation, and each nonlinear equation is used by lower amount as variable
Newton iterative methods are solved.It, which has used for reference Newton-Raphson methods, the characteristics of good convergence, while can keep away again
Exempt to ask Jacobian matrixes and its inverse matrix, algorithm is effectively simplified, calculating speed is very fast, and precision is higher.
In step S26 of the present invention, to F1 frames, i=1,No matter any time iteration, have
It is constant；To F2 frames, i=2,F1 outputs input as F2；To F3 frames, i=3, successively recursion；I.e.Only as F1,Remaining is all that the output of next frame is the input of next one frame.
The present invention has following good effect compared with prior art：
1st, the advantages of the inventive method synthesis pressure both allocation model and roll-force allocation model, while its is overcome each
The shortcomings that, constrain roll-force allocation result with the distribution of pressure pattern distribution determination.
2nd, the inventive method carries out amplitude limit, and adopt respectively by improving amplitude limit calculation using to each finishing stand
Carried out with addition scheme, meet each frame roll-force as far as possible while reducing each frame thickness distribution of continuous hot-rolling mill finish rolling and fluctuating
The requirement declined in proportion, it is larger or when process conditions change greatly in rolling force model deviation, improve rolling load of strip hot rolling
Distribution setting setting accuracy and rolling stability.
Embodiment
A kind of fine-rolling strip steel sharing of load establishing method, comprises the following steps：
S1, the thickness distribution by pressure allocation model calculating each frame of finish rolling, each frame is taken out from pressure distribution coefficient table
Reduction ratio distribution coefficient, according to the reduction ratio distribution coefficient of each frame obtain pressure distribution reduction ratio and exit thickness；
S2, to depress allocation result as initial value, the drafts of each frame is iterated to calculate by roll-force allocation model, until
Roll-force ratio meets target call, first, the other essence of equivalent layer is taken out from course of hot rolling control computer technological procedure table
Roll the roll-force distribution coefficient of each frame, and read operation work intervention value；Then, the absolute draft of each frame of finish rolling is iterated to calculate
Amount, the requirement until reaching target roll-force ratio；Finally, judge whether roll-force and absolute draft amount transfinite, transfinite, repair
Change distribution coefficient to iterate to calculate again；
S3, amplitude limiting processing is carried out to rolling force mode allocation result, and carry out relativization calculating, obtained with the distribution of pressure pattern
The reduction ratio obtained is benchmark, if the reduction ratio that rolling force mode distributes to obtain exceeds its certain limit, is limited
In boundary；If without departing from scope, rolling force mode allocation result is taken.
The step S1 comprises the following steps：
S11, table is taken, according to the steel grade major class, level of thickness and width class information of current rolled band steel, from course of hot rolling
The reduction ratio distribution coefficient of the other finish rolling F1-F7 frames of equivalent layer is taken out in control computer technological procedure tableI is frame
Number；
S12, carry out relativization calculating, in order to obtain same layer it is other under it is specific under various workpiece thickness and finish to gauge thickness
Reduction ratio data, it is necessary to rightRelativization calculating is carried out, finish rolling is necessarily equal to according to the drafts sum of each frame of finish rolling
Overall reduction, obtain the proportional factor r of reduction ratiokFor：
Wherein, hnFor finish to gauge thickness, h0For workpiece thickness；
N is finishing pass number；
B=0.906501, a=0.959597；
Reduction ratio after relativizationFor：
According to the reduction ratio after relativization, the exit thickness of above n-1 frame can obtain：
I=1,2 ..., n-1, formula 3
Wherein hiFor the exit thickness of the i-th frame；
The step S2 comprises the following steps：
S21, roll-force distribution coefficient is got, according to the steel grade major class and level of thickness information of current strip, from hot rolling
The roll-force distribution coefficient of each frame of the other finish rolling of equivalent layer is taken out in process machine technological procedure table；Course of hot rolling machine technological procedure
Data determine before manufacture in table, main to consider the factor such as belt steel rolling stability and plate shape index, can be in empirical data base
Outstanding rolling case is constantly collected on plinth to optimize；
S22, operation correcting process is carried out, obtains the revised roll-force distribution coefficient of roll-force of each frame, it is contemplated that
Operative employee will enter intervene to sharing of load in production, and the modifying factor of each frame is collected into from operation screen HMI, revised to roll
Power distribution coefficient processed is：
Wherein,For the roll-force distribution coefficient before amendment,For revised roll-force distribution coefficient, ζiFor modifying factor
Son, span are -20%~20%,
Again normalization data, i.e.,αiFor the roll-force distribution coefficient after normalization；
S23, the roll-force of each frame of finish rolling and roll-force are calculated under current thickness distribution to the derivative of absolute draft amount,
Calculate roll-force：Assuming thatFor the roll-force of the i-th frame iteration j, in the case where other technological parameters are fixed, roll-force
It is the function of inlet thickness and exit thickness, that is, exists：Shadow of its size by rolling force model precision
Ring；It should be noted that the change of each frame thickness distribution can cause the change of each temperature in GANTRY, each frame roll-force is being calculated
Before, the temperature of each frame should be recalculated once；
Calculate derivative of the roll-force to absolute draft amountCalculation formula：
Wherein, wherein dt is the disturbance of very little, can use 1%；For the absolute draft amount of i-th+1 iteration of frame jth,
S24, according to the roll-force of above-mentioned each frame and roll-force to the result of calculation of absolute draft amount derivative, calculate each machine
The correction value of frame absolute draft amount,
Wherein,For the correction value of the absolute draft amount of i-th+1 iteration of frame jth；Formula 5 is according to one kind
Improve Newton methods derived from result, from each passage drafts be used as variable, by n dimension nonlinear equation be changed into one-dimensional
N nonlinear equation, and each nonlinear equation is solved with Newton iterative methods.It has used for reference Newton-Raphson
Method has the characteristics of good convergence, while can avoid asking Jacobian matrixes and its inverse matrix again, algorithm is obtained effective letter
Change, calculating speed is very fast, and precision is higher；
S25, the correction value of each frame absolute draft amountAfter obtaining, the renewal of each frame absolute draft amount is calculated
Value,
Wherein dampjFor damped coefficient, dampj=damp_mpy β+(1- β) (1-e-j),
Damp_mpy takes 1.0, β to take 0.6；The certain percentage of absolute draft amount correction value is only absorbed during each iteration, with
Iterations increase, percent absorption also increases；
S26, after the renewal of each frame absolute draft amount is worth to, calculates the exit thickness of each frame, that is, calculates jth+1 time
The exit thickness of iteration
And (workpiece thickness) is known quantity, according toCalculated from F1 frames to F7 frames,
The updated value of each rack outlet thickness can be calculated, this value will be used for next iteration and calculate roll-force use, whereinFinger i-th-
The exit thickness of 1+1 iteration of frame jth；
Example is to F1 frames, i=1,No matter any time iteration, haveIt is constant；
To F2 frames, i=2,F1 outputs input as F2；
To F3 frames, i=3, successively recursion ....
So it is summarized asOnly as F1,Remaining is all that the output of next frame is
The input of next one frame；
S27, judges whether roll-force ratio meets the condition of convergence, and the condition of convergence of roll-force distribution iterative calculation is：
Wherein, τ is the positive number of very little, can use 0.01；Formula 7 is set up, or iterations j terminates more than when setting number
Iterative calculation, otherwise continue executing with S23, Simultaneous Iteration number j cumulative 1；
Citing, iterations j's sets number as 6 times, i.e., j span is 0≤j≤5, and the 1st time iterative calculation j takes
0, iterate to calculate and terminate when formula 6 is set up or iterations j is more than 6 times；If iterative calculation does not reach receipts also for the first time
Condition is held back, S23 is continued executing with, Simultaneous Iteration number j cumulative 1, that is, carries out first time iterative calculation；
After iterative calculation terminates, the absolute draft amount of each frame can obtainAnd exit thickness
If roll-force ratio meets the condition of convergence in S28, above-mentioned steps S27, then judge that each frame roll-force of finish rolling is
The no maximum rolling force allowed more than equipment,
Transfinited if there is roll-force, when the roll-force of the i-th frame exceedes the maximum rolling force of equipment permissionWhen, then
The roll-force distribution coefficient of (reduction) frame is adjusted, the distribution coefficient of remaining frame does not adjust, existed
Then performFormula 8
Wherein, αiFor the roll-force distribution coefficient after the normalization, α 'iFor the roll-force distribution coefficient after adjustment of transfiniting；
α′iStep S23 is returned to after obtaining, with the roll-force distribution coefficient α ' after adjustmentiAbsolute draft amount is re-started to change
In generation, calculates, Simultaneous Iteration number j assignment 0, takes the absolute draft amount of step S27 last time iterationAnd exit thickness
As absolute draft amount and the initial value of exit thickness；
If roll-force does not transfinite, next step is directly performed；
S29, the iterative calculation of absolute draft amount and inspection of transfiniting terminate, obtain roll-force allocation result, take each machines of step S27
The exit thickness of frame last time iterationFor the exit thickness of each frame roll-force distribution, each frame is calculated accordingly and rolls
The reduction ratio of power distribution processed In formula,Refer to the exit thickness of i-th -1+1 iteration of frame jth；
The step S3 comprises the following steps：
S31, amplitude limiting processing is done to roll-force allocation result, amplitude limiting processing is carried out as the following formula,
WhereinThe the i-th frame reduction ratio distributed for pressure pattern,For the i-th frame pressure of rolling force mode distribution
Rate,For the i-th frame reduction ratio after amplitude limiting processing,For the amplitude limit control parameter of the i-th frame, 1%~10% is typically taken；When
Each frameIt is complete pressure pattern allocation result when taking 0；
S32, relativization calculating is carried out to the reduction ratio after amplitude limiting processing, if reduction ratio is changed in above-mentioned steps S31,
There can be certain deviation between the finish to gauge thickness and target finish to gauge thickness that are then calculated, also to carry out wheel relativization calculating；
Relativization calculating process is identical with the relativization process that pattern is depressed in step S12, it is only necessary to willInstead of formula 1
InIt can obtain step S32 relativization factor r 'k, each frame reduction ratio finally distributed is：
WhereinFor the i-th frame reduction ratio finally distributed, takeAs each frame reduction ratio finally distributed, accordingly may be used
The exit thickness of each frame among calculating：
I=1,2 ..., n-1 formula 11
According to each frame reduction ratio finally distributedThe rolling of fine-rolling strip steel is carried out with the exit thickness of middle each frame
Sharing of load setup algorithm.
Embodiment 1, certain strip information are as follows：Workpiece thickness 40.377mm, finish to gauge thickness 1.8mm, strip width
1229.1mm, finish rolling rolling pass number n=7.The other information of steel grade layer：Steel grade major class is 11002, level of thickness 5, width grade
For 3, it is as follows to get the other data of equivalent layer：
The reduction ratio distribution coefficient of table 1
The roll-force distribution coefficient of table 2
| Steel grade major class | Level of thickness | α1 | α2 | α3 | α4 | Α5 | α6 | α7 |
| 11002 | 5 | 1 | 0.95 | 0.88 | 0.78 | 0.55 | 0.45 | 0.36 |
Above-mentioned steps S1, according to pressure distribution coefficient table, the thickness that each frame of finish rolling is calculated by pressure allocation model distributes,
In order to obtain the specific reduction ratio data in the case where workpiece thickness is 40.377mm and finish to gauge thickness is 1.8mm,
Need pairCarry out relativization calculating；
According to formula 1, the proportional factor r of reduction ratio is calculatedk,
Reduction ratio and exit thickness data after each frame relativization are shown in Table 3,
Table 3：Pressure allocation model obtains reduction ratio and exit thickness data
| Classification | F1 | F2 | F3 | F4 | F5 | F6 | F7 |
| Reduction ratio | 53.89% | 51.89% | 44.91% | 32.93% | 27.94% | 17.96% | 8.98% |
| Exit thickness | 40.38 | 18.62 | 8.96 | 4.93 | 3.31 | 2.38 | 1.96 |
Above-mentioned steps S2, to depress allocation result as initial value, the pressure of each frame is iterated to calculate by roll-force allocation model
Lower amount, until roll-force ratio meets target call, operative employee does not intervene roll-force distribution coefficient, directly performs and calculates step
Rapid S23-S27, iterate to the 4th and meet that end condition terminates to calculate, the roll-force ratio of each time in the calculating of roll-force mode iterative
Example delta data is shown in Table 4,
Table 4：The roll-force ratio delta data of each time in the calculating of roll-force mode iterative
| Iterations | F1 | F2 | F3 | F4 | F5 | F6 | F7 |
| 1 | 1.000 | 0.972 | 0.811 | 0.744 | 0.583 | 0.576 | 0.346 |
| 2 | 1.000 | 0.958 | 0.838 | 0.774 | 0.581 | 0.515 | 0.354 |
| 3 | 1.000 | 0.950 | 0.865 | 0.793 | 0.571 | 0.470 | 0.359 |
| 4 | 1.000 | 0.950 | 0.879 | 0.794 | 0.560 | 0.455 | 0.361 |
| Target | 1 | 0.95 | 0.88 | 0.78 | 0.55 | 0.45 | 0.36 |
Step S28 is performed again, judges whether each frame roll-force of finish rolling exceedes the maximum rolling force that equipment allows, each frame
Roll-force need not come back to S23 all without departing from the maximum rolling force of its permission；Roll-force allocation model is calculated
Reduction ratio and exit thickness data be shown in Table 5,
Table 5 rolls reduction ratio and the exit thickness data that force mode distribution is calculated
| Classification | F1 | F2 | F3 | F4 | F5 | F6 | F7 |
| Reduction ratio | 53.86% | 50.80% | 48.20% | 34.83% | 26.57% | 13.32% | 8.60% |
| Exit thickness | 18.628 | 9.166 | 4.748 | 3.094 | 2.272 | 1.969 | 1.800 |
Above-mentioned steps S3, amplitude limiting processing is done to roll-force allocation result, cause a deviation from depressing allocation result in certain limit
It is interior；
First, amplitude limiting processing is done to roll-force allocation result, the amplitude limit control parameter of each frame roll-force distribution of finish rolling is such as
Shown in table 6：
Table 6：Data after the amplitude limit control parameter and amplitude limiting processing of each frame roll-force distribution of finish rolling
It can be seen that because the reduction ratio of F3 frames roll-force distribution calculating acquisition deviates the pressure of pressure pattern distribution calculating acquisition
Lower rate is limited in 47.91% (it is 3% to deviate 44.91%) more than 3%；Because the distribution calculating of F6 frames roll-force obtains
The reduction ratio obtained deviates the distribution of pressure pattern and calculates the reduction ratio obtained more than 2%, therefore is limited in 15.96% (deviation
2%) 17.96% is.
Then, relativization calculating is carried out to the reduction ratio after amplitude limiting processing, relativization process herein in step S12 with pressing
The relativization process of lower pattern is identical, it is only necessary to willInstead of in formula 1The step S32 relativization factor is can obtain,
The reduction ratio finally distributed is shown in Table 7 with exit thickness data.
The reduction ratio that table 7 finally distributes and exit thickness data
| Classification | F1 | F2 | F3 | F4 | F5 | F6 | F7 |
| Reduction ratio | 53.68% | 50.62% | 47.75% | 34.71% | 26.48% | 15.91% | 8.57% |
| Exit thickness | 40.38 | 18.70 | 9.23 | 4.83 | 3.15 | 2.32 | 1.95 |
Claims (4)
1. a kind of fine-rolling strip steel sharing of load establishing method, it is characterized in that, comprise the following steps：
S1, the thickness distribution by pressure allocation model calculating each frame of finish rolling, the pressure of each frame is taken out from pressure distribution coefficient table
Lower rate distribution coefficient, pressure distribution reduction ratio and exit thickness are obtained according to the reduction ratio distribution coefficient of each frame；
S2, to depress allocation result as initial value, the drafts of each frame is iterated to calculate by roll-force allocation model, until rolling
Power ratio meets target call, first, it is each that the other finish rolling of equivalent layer is taken out from course of hot rolling control computer technological procedure table
The roll-force distribution coefficient of frame, and read operation work intervention value；Then, the absolute draft amount of each frame of finish rolling is iterated to calculate,
Requirement until reaching target roll-force ratio；Finally, judge whether roll-force and absolute draft amount transfinite, then modification point of transfiniting
Distribution coefficient iterates to calculate again；
S3, amplitude limiting processing is carried out to rolling force mode allocation result, and carry out relativization calculating, to depress pattern distribution acquisition
Reduction ratio is benchmark, if the reduction ratio that rolling force mode distributes to obtain exceeds its certain limit, is limited in side
At boundary；If without departing from scope, rolling force mode allocation result is taken.
2. a kind of fine-rolling strip steel sharing of load establishing method as claimed in claim 1, it is characterized in that：The step S1 include with
Lower step：
S11, table is taken, according to the steel grade major class, level of thickness and width class information of current rolled band steel, controlled from course of hot rolling
The reduction ratio distribution coefficient of the other finish rolling F1-F7 frames of equivalent layer is taken out in computer art protocol tableI is shelf number；
S12, relativization calculating is carried out, the overall reduction of finish rolling is necessarily equal to according to the drafts sum of each frame of finish rolling, is obtained
The proportional factor r of reduction ratiokFor：
Wherein, hnFor finish to gauge thickness, h0For workpiece thickness；
N is finishing pass number；
B=0.906501, a=0.959597；
Reduction ratio after relativizationFor：
According to the reduction ratio after relativization, the exit thickness of above n-1 frame can obtain：
Wherein hiFor the exit thickness of the i-th frame.
3. a kind of fine-rolling strip steel sharing of load establishing method as claimed in claim 1, it is characterized in that, the step S2 include with
Lower step：
S21, roll-force distribution coefficient is got, according to the steel grade major class and level of thickness information of current strip, from course of hot rolling
The roll-force distribution coefficient of each frame of the other finish rolling of equivalent layer is taken out in machine technological procedure table；
S22, operation correcting process is carried out, obtain the revised roll-force distribution coefficient of roll-force of each frame, slave unit operation
Control interface HMI is collected into the modifying factor of each frame, and revised roll-force distribution coefficient is：
Wherein,For the roll-force distribution coefficient before amendment,For revised roll-force distribution coefficient, ζiFor modifying factor,
Span is -20%~20%,
Again normalization data, i.e.,αiFor the roll-force distribution coefficient after normalization；
S23, calculate the roll-force of each frame of finish rolling and roll-force under current thickness distribution and, to the derivative of absolute draft amount, calculate
Roll-force：Assuming thatFor the roll-force of the i-th frame iteration j, in the case where other technological parameters are fixed, roll-force is
The function of inlet thickness and exit thickness, that is, be present：
Calculate derivative of the roll-force to absolute draft amountCalculation formula：
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Wherein, wherein dt is the disturbance of very little, can use 1%；For the absolute draft amount of i-th+1 iteration of frame jth,
S24, according to the roll-force of above-mentioned each frame and roll-force to the result of calculation of absolute draft amount derivative, it is exhausted to calculate each frame
To the correction value of drafts,
Wherein,For the correction value of the absolute draft amount of i-th+1 iteration of frame jth；
S25, the correction value of each frame absolute draft amountAfter obtaining, the updated value of each frame absolute draft amount is calculated,
Wherein dampjFor damped coefficient, dampj=damp_mpy β+(1- β) (1-e-j),
Damp_mpy takes 1.0, β to take 0.6；
S26, after the renewal of each frame absolute draft amount is worth to, the exit thickness of each frame is calculated, that is, calculates+1 iteration of jth
Exit thickness
And (workpiece thickness) is known quantity, according toCalculate to F7 frames, can count from F1 frames
The updated value of each rack outlet thickness is calculated, this value will be used for next iteration and calculate roll-force use, whereinRefer to the i-th -1 machine
The exit thickness of+1 iteration of frame jth；
S27, judges whether roll-force ratio meets the condition of convergence, and the condition of convergence of roll-force distribution iterative calculation is：
Wherein, τ is the positive number of very little, can use 0.01；Formula 7 is set up, or iterations j terminates iteration more than when setting number
Calculate, otherwise continue executing with S23, Simultaneous Iteration number j cumulative 1；After iterative calculation terminates, the absolute draft of each frame can obtain
AmountAnd exit thickness
If roll-force ratio meets the condition of convergence in S28, above-mentioned steps S27, then judge whether each frame roll-force of finish rolling surpasses
The maximum rolling force of equipment permission is crossed,
Transfinited if there is roll-force, when the roll-force of the i-th frame exceedes the maximum rolling force of equipment permissionWhen, then adjust
The roll-force distribution coefficient of (reduction) frame, the distribution coefficient of remaining frame do not adjust, existed
Then perform
Wherein, αiFor the roll-force distribution coefficient after the normalization, αi' it is the roll-force distribution coefficient after adjusting that transfinites；
αi' obtain after return to step S23, with the roll-force distribution coefficient α after adjustmenti' re-start absolute draft amount iteration meter
Calculate, Simultaneous Iteration number j assignment 0, take the absolute draft amount of step S27 last time iterationAnd exit thicknessAs
The initial value of absolute draft amount and exit thickness；
If roll-force does not transfinite, next step is directly performed；
S29, the iterative calculation of absolute draft amount and inspection of transfiniting terminate, obtain roll-force allocation result, take each frames of step S27 most
The exit thickness of an iteration afterwardsFor the exit thickness of each frame roll-force distribution, each frame roll-force is calculated accordingly
The reduction ratio of distribution In formula,Refer to the exit thickness of i-th -1+1 iteration of frame jth.
4. a kind of fine-rolling strip steel sharing of load establishing method as claimed in claim 1, it is characterized in that, the step S3 include with
Lower step：
S31, amplitude limiting processing is done to roll-force allocation result, amplitude limiting processing is carried out as the following formula,
WhereinThe the i-th frame reduction ratio distributed for pressure pattern,The the i-th frame reduction ratio distributed for rolling force mode,
For the i-th frame reduction ratio after amplitude limiting processing,For the amplitude limit control parameter of the i-th frame, 1%~10% is typically taken；When each machine
FrameIt is complete pressure pattern allocation result when taking 0；
S32, relativization calculating is carried out to the reduction ratio after amplitude limiting processing, if reduction ratio is changed in above-mentioned steps S31, counted
There can be certain deviation between obtained finish to gauge thickness and target finish to gauge thickness, also to carry out wheel relativization calculating；
Relativization calculating process is identical with the relativization process that pattern is depressed in step S12, it is only necessary to willInstead of in formula 1It can obtain step S32 relativization factor r 'k, each frame reduction ratio finally distributed is：
WhereinFor the i-th frame reduction ratio finally distributed, takeAs each frame reduction ratio finally distributed, can calculate accordingly
The exit thickness of middle each frame：
According to each frame reduction ratio finally distributedThe rolling load of fine-rolling strip steel is carried out with the exit thickness of middle each frame
Distribute setup algorithm.
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| CN108856305A (en) * | 2018-06-14 | 2018-11-23 | 武汉钢铁有限公司 | A kind of non-orientation silicon steel production mill load distribution method |
| CN109365544A (en) * | 2018-09-05 | 2019-02-22 | 湖南华菱涟源钢铁有限公司 | Improve the load distribution method of the reversible single stand four-roller roughing mill of rolling rhythm |
| CN109550792A (en) * | 2018-12-25 | 2019-04-02 | 鞍钢集团朝阳钢铁有限公司 | A kind of calculation method of hot-tandem unit sharing of load |
| CN112570463A (en) * | 2020-10-15 | 2021-03-30 | 中冶南方工程技术有限公司 | Reduction ratio distribution method and equipment for single-stand cold rolling mill |
| CN114406015A (en) * | 2022-01-26 | 2022-04-29 | 北京首钢股份有限公司 | Load distribution method and device for finish rolling machine frame, electronic equipment and medium |
| CN115921546A (en) * | 2023-03-15 | 2023-04-07 | 江苏金恒信息科技股份有限公司 | Method and system for optimizing rolling mill model reduction based on iterative method |
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| CN112570463A (en) * | 2020-10-15 | 2021-03-30 | 中冶南方工程技术有限公司 | Reduction ratio distribution method and equipment for single-stand cold rolling mill |
| CN114406015A (en) * | 2022-01-26 | 2022-04-29 | 北京首钢股份有限公司 | Load distribution method and device for finish rolling machine frame, electronic equipment and medium |
| CN114406015B (en) * | 2022-01-26 | 2023-09-01 | 北京首钢股份有限公司 | Load distribution method and device for finishing mill frame, electronic equipment and medium |
| CN115921546A (en) * | 2023-03-15 | 2023-04-07 | 江苏金恒信息科技股份有限公司 | Method and system for optimizing rolling mill model reduction based on iterative method |
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Application publication date: 20171208 |