CN102581029A - Method for determining effect of strip shape execution mechanism of metal strips - Google Patents
Method for determining effect of strip shape execution mechanism of metal strips Download PDFInfo
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- CN102581029A CN102581029A CN2012100581246A CN201210058124A CN102581029A CN 102581029 A CN102581029 A CN 102581029A CN 2012100581246 A CN2012100581246 A CN 2012100581246A CN 201210058124 A CN201210058124 A CN 201210058124A CN 102581029 A CN102581029 A CN 102581029A
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Abstract
The invention relates to a method for determining effect of a strip shape execution mechanism of metal strips. The method comprises the steps of firstly acquiring field actual measurement data to obtain a strip shape measured value as well as an output value of the strip shape execution mechanism; processing the original data and due to noise, characteristics of the execution mechanism and the like, conducting filtering and normalization on the data so as to obtain effective field data; conducting polynomial regression on the effect vector of the execution mechanism and determining polynomial order; establishing a compute matrix according to a linearly independent vector in the effect vector; conducting multiple regression analysis according to the compute matrix so as to calculate regression parameters; and finally, calculating the effect vector of the execution mechanism according to the regression parameters. According to the method, the effect vectors of different execution mechanisms are calculated simultaneously at a time by using the field actual measurement data and the calculating method is simple and convenient.
Description
Technical field
The present invention relates to a kind of method that is used for the plate shape executing agency effect of definite sheet metal strip, belong to cold-rolling mill control technology field.
Background technology
In the metal processing industry, cold-rolling mill conduct crucial process unit wherein plays an important role in the whole operation of rolling.Through realizing the plate shape control of cold-rolling mill, can improve the plate shape performance indications of rolled products, make band plate shape deviation in allowed band, and can improve mill speed, reduce the generation of faults such as broken belt.
In the implementation procedure of plate shape control; Plate shape controller running plate shape control algolithm, controlled quentity controlled variable output to that milling train is depressed, roller, intermediate calender rolls is twitched and executing agency such as cooling system, and executing agency produces action then; For milling train body and band plate shape generation effect; Band plate shape is input in the plate shape controller through after the plate shape testing agency, forms plate shape close-loop feedback control loop.
In the The whole control loop; With the actual influence of various executing agencies for the generation of plate shape; Be called executing agency's effect here, the document that has is referred to as valuation functions, carries out correct calculating to confirm executing agency's effect; True(-)running for plat control system plays crucial effects.
The plate shape executing agency effect of current sheet metal strip is mainly used modeling methods such as FInite Element on the physical mechanics, bar unit method, carries out the force analysis of contact-making surface, calculates executing agency's effect.Though these class methods are more directly perceived, have the modeling difficulty, suppose too much, shortcomings such as analysis is loaded down with trivial details, calculation of complex.
Summary of the invention
The objective of the invention is to overcome the deficiency that prior art exists, a kind of plate shape executing agency effect method that is used for confirming sheet metal strip based on multiple linear regression is provided.
The object of the invention is realized through following technical scheme:
Be used for confirming the method for sheet metal strip plate shape executing agency effect, characteristics are: at first, the measurement of the on-the-spot actual operation of rolling, the collection site measured data obtains plate shape measurement value and plate shape executing agency output valve; Then, original data processing owing to noise, executing agency's characteristic reason, is carried out filtering, normalization data processing to the acquired original data, to obtain effective field data; And then, carry out polynomial regression for executing agency's effect vector, carry out the multinomial order and confirm; Again, set up compute matrix according to the linearly independent vector in the effect vector; Then, carry out multiple regression analysis, calculate regression parameter according to compute matrix; At last, calculate executing agency's effect vector according to regression parameter.
Further, the above-mentioned method that is used for confirming sheet metal strip plate shape executing agency effect,
At first variable is defined:
N is a plate shape roller measured zone number, promptly along strip width orientation measurement number;
M is a plate shape executing agency number;
T is polynomial order;
e
iBe the plate shape measurement value, i=1,2 ..., n
a
jBe plate shape executing agency outputting measurement value, j=1,2 ..., m
y
IjBe executing agency's effect vector value, represent j the effect value of executing agency on i measured zone, i=1,2 ..., n, j=1,2 ..., m
b
IjBe the multinomial coefficient of executing agency's effect vector, i=1,2 ..., t, j=1,2 ..., m
x
i jRepresent polynomial value, expression x
iThe j power, i=i=1,2 ..., n, j=1,2 ..., t
When Target Board shape was zero, the plate shape measurement value equaled plate shape deviate, and this up-to-date style (1) is set up;
Executing agency's effect vector is carried out multinomial decompose, this up-to-date style (2) is set up;
With formula (2) substitution formula (1), can obtain formula (3);
Under the situation of each executing agency's effect vector linear independence, simplified style (3); Work as m=2, when t was even number, the effect vector of executing agency 1 was corresponding to whole odd items, and the effect vector of executing agency 2 correspondence is idol time item all, and this up-to-date style (3) is reduced to formula (4);
Then, the order matrix definition is suc as formula shown in (5), the formula (6):
Use linear regression method, obtain parameter suc as formula shown in (7):
At last, calculate executing agency's effect vector value according to formula (2).
Substantive distinguishing features and obvious improvement that technical scheme of the present invention is outstanding are mainly reflected in:
1. be based upon on the field measurement data basis, utilize the multiple linear regression computation model, each other under the situation of linear independence, obtain the effect vector of different executing agencies at vector;
2. directly utilize the field measurement data; Compare with simple rational mechanics computational methods, comprised more field device information, for example varying information such as temperature field, mechanism wear; And these time-variable datas are difficult to accurately calculate in theoretical Mechanics Calculation, can only make hypothesis and judge; Secondly, use multiple linear regression calculating method, the minimum variance unbiased that can obtain parameter is estimated, belongs to the optimal solution on the statistical significance, thereby ensures precision of calculation results; Once more, can use same computation model, once calculate the effect vector parameter of different executing agencies simultaneously, and use the rational mechanics computational methods, can only set up the different mechanical model, calculate one by one; At last, the relative theory mechanical model, the amount of calculation of this method is less, and computing time is shorter, so not only can be used for the calculated off line of the operation of rolling, can also use online account form;
3. directly use the field measurement data, reflect the effect situation of plate shape more really, and computational methods are easy, ensure computational accuracy, improve development efficiency effectively, reduce development investment for different executing agencies.
Description of drawings
Below in conjunction with accompanying drawing technical scheme of the present invention is described further:
Fig. 1: the method flow diagram that is used for confirming plate shape executing agency effect;
Fig. 2: cold-rolling mill shape executing agency effect schematic block diagram.
The specific embodiment
As shown in Figure 1, be used for confirming the method for sheet metal strip plate shape executing agency effect, at first, and the measurement of the on-the-spot actual operation of rolling, the collection site measured data obtains plate shape measurement value and plate shape executing agency output valve; Then, original data processing owing to noise, executing agency's characteristic reason, is carried out filtering, normalization data processing to the acquired original data, to obtain effective field data; And then, carry out polynomial regression for executing agency's effect vector, carry out the multinomial order and confirm; Again, set up compute matrix according to the linearly independent vector in the effect vector; Then, carry out multiple regression analysis, calculate regression parameter according to compute matrix; At last, calculate executing agency's effect vector according to regression parameter.
Carry out the measurement of the on-the-spot actual operation of rolling earlier, obtain different executing agencies output quantity and plate shape measurement value.Adopt vector mode to describe for executing agency's effect, and be decomposed into polynomial form.Utilize real data, and the linear independence characteristic between the different executing agencies effect vector, carry out multiple linear regression, calculate various executing agencies effect vector.After obtaining the field measurement data, because the difference of executing agency's characteristic also need be carried out data such as filtering, normalization, to obtain effective field data.When carrying out executing agency's effect vector decomposition, the degree of polynomial can be got arbitrary value, will take all factors into consideration from the balance of computing time and computational accuracy.The effect vector of different executing agencies requires linear independence each other, and this also meets the situation of most of actual field.
As shown in Figure 2, at cold-rolling mill shape executing agency effect schematic block diagram, comprise plate shape control algolithm, plate shape executing agency and executing agency's effect vector; Plate shape control algolithm is moved in plate shape controller; Operation result is exported to plate shape executing agency, and plate shape executing agency is the m kind altogether, from executing agency 1 to the m of executing agency; Each plate shape executing agency is corresponding to executing agency's effect vector, and the dimension of vector is n; Plate shape executing agency 1 to m, the effect through corresponding executing agency effect vector 1 to m influences the plate shape measurement value after the mutual superposition; After plate shape measurement value and Target Board shape are subtracted each other, form plate shape deviate, thus the operation of drive plate shape control algolithm, and calculation process is:
At first variable is defined:
N is a plate shape roller measured zone number, promptly along strip width orientation measurement number;
M is a plate shape executing agency number;
T is polynomial order;
e
iBe the plate shape measurement value, i=1,2 ..., n
a
jBe plate shape executing agency outputting measurement value, j=1,2 ..., m
y
IjBe executing agency's effect vector value, represent j the effect value of executing agency on i measured zone, i=1,2 ..., n, j=1,2 ..., m
b
IjBe the multinomial coefficient of executing agency's effect vector, i=1,2 ..., t, j=1,2 ..., m
x
i jRepresent polynomial value, expression x
iThe j power, i=i=1,2 ..., n, j=1,2 ..., t
When Target Board shape was zero, the plate shape measurement value equaled plate shape deviate, and this up-to-date style (1) is set up;
Executing agency's effect vector is carried out multinomial decompose, this up-to-date style (2) is set up;
With formula (2) substitution formula (1), can obtain formula (3);
Under the situation of each executing agency's effect vector linear independence, simplified style (3); Work as m=2, when t was even number, the effect vector of executing agency 1 was corresponding to whole odd items, and the effect vector of executing agency 2 correspondence is idol time item all, and this up-to-date style (3) is reduced to formula (4);
Then, the order matrix definition is suc as formula shown in (5), the formula (6):
Use linear regression method, obtain parameter suc as formula shown in (7):
At last, calculate executing agency's effect vector value according to formula (2).
In sum, the present invention is used for confirming the method for sheet metal strip plate shape executing agency effect, is based upon on the field measurement data basis, utilizes the multiple linear regression computation model, each other under the situation of linear independence, obtains the effect vector of different executing agencies at vector; Directly utilize the field measurement data; Compare with simple rational mechanics computational methods, comprised more field device information, for example varying information such as temperature field, mechanism wear; And these time-variable datas are difficult to accurately calculate in theoretical Mechanics Calculation, can only make hypothesis and judge; Secondly, use multiple linear regression calculating method, the minimum variance unbiased that can obtain parameter is estimated, belongs to the optimal solution on the statistical significance, thereby ensures precision of calculation results; Once more, can use same computation model, once calculate the effect vector parameter of different executing agencies simultaneously, and use the rational mechanics computational methods, can only set up the different mechanical model, calculate one by one; At last, the relative theory mechanical model, the amount of calculation of this method is less, and computing time is shorter, so not only can be used for the calculated off line of the operation of rolling, can also use online account form; Directly use the field measurement data, reflect the effect situation of plate shape more really, calculate the effect vector of different executing agencies simultaneously for different executing agencies; Computational methods are easy, and computational speed improves, and ensure computational accuracy; Improve development efficiency effectively, reduce development investment.
What need understand is: the above only is a preferred implementation of the present invention; For those skilled in the art; Under the prerequisite that does not break away from the principle of the invention, can also make some improvement and retouching, these improvement and retouching also should be regarded as protection scope of the present invention.
Claims (2)
1. be used for confirming the method for sheet metal strip plate shape executing agency effect, it is characterized in that: at first, the measurement of the on-the-spot actual operation of rolling, the collection site measured data obtains plate shape measurement value and plate shape executing agency output valve; Then, original data processing owing to noise, executing agency's characteristic reason, is carried out filtering, normalization data processing to the acquired original data, to obtain effective field data; And then, carry out polynomial regression for executing agency's effect vector, carry out the multinomial order and confirm; Again, set up compute matrix according to the linearly independent vector in the effect vector; Then, carry out multiple regression analysis, calculate regression parameter according to compute matrix; At last, calculate executing agency's effect vector according to regression parameter.
2. the method that is used for confirming sheet metal strip plate shape executing agency effect according to claim 1 is characterized in that:
At first variable is defined:
N is a plate shape roller measured zone number, promptly along strip width orientation measurement number;
M is a plate shape executing agency number;
T is polynomial order;
e
iBe the plate shape measurement value, i=1,2 ..., n
a
jBe plate shape executing agency outputting measurement value, j=1,2 ..., m
y
IjBe executing agency's effect vector value, represent j the effect value of executing agency on i measured zone, i=1,2 ..., n, j=1,2 ..., m
b
IjBe the multinomial coefficient of executing agency's effect vector, i=1,2 ..., t, j=1,2 ..., m
x
i jRepresent polynomial value, expression x
iThe j power, i=i=1,2 ..., n, j=1,2 ..., t
When Target Board shape was zero, the plate shape measurement value equaled plate shape deviate, and this up-to-date style (1) is set up;
Executing agency's effect vector is carried out multinomial decompose, this up-to-date style (2) is set up;
With formula (2) substitution formula (1), can obtain formula (3);
Under the situation of each executing agency's effect vector linear independence, simplified style (3); Work as m=2, when t was even number, the effect vector of executing agency 1 was corresponding to whole odd items, and the effect vector of executing agency 2 correspondence is idol time item all, and this up-to-date style (3) is reduced to formula (4);
Then, the order matrix definition is suc as formula shown in (5), the formula (6):
Use linear regression method, obtain parameter suc as formula shown in (7):
At last, calculate executing agency's effect vector value according to formula (2).
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| CN104475458A (en) * | 2014-11-28 | 2015-04-01 | 苏州有色金属研究院有限公司 | Optimal uniform approximation treatment method for strip shape in failure of roll collar |
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Effective date of registration: 20170420 Address after: 471039 Henan Province, Luoyang high tech Development Zone middle Ling Road Patentee after: China Nonferrous Metals Processing Technology Co., Ltd. Address before: Suzhou City, Jiangsu province 215021 Industrial Park No. 200 Shen Hu Road Patentee before: Suzhou Non-ferrous Metal academy Co., Ltd. |