CN105251778A - Feedback control method for edge thinning of single-taper working roll shifting rolling mill - Google Patents

Abstract

The invention provides a feedback control method for edge thinning of a single-taper working roll shifting rolling mill, which is characterized in that a five-rack cold-rolling single-taper working roll shifting rolling mill is taken as an object, the minimum transverse thickness difference of cold-rolled silicon steel is taken as a target function, and a feedback control model for edge thinning of the cold-rolled silicon steel is established, namely, the edge thinning feedback control model is matched with different modes of an edge-dropping deviation signal actually measured by an S5 (namely a 5 th rack outlet edge-dropping instrument) through the matching of S1-S3 racks to realize accurate control of edge thinning by carrying out edge-dropping deviation signal processing, edge-dropping deviation signal fitting, calculation of roll-shifting regulating values of all the racks and amplitude limiting processing of adjusting values of all the racks. The method can reduce the edge thinning defect of the strip steel, improve the lamination rate of the cold-rolled silicon steel finished product, ensure that the ratio of the average edge thinning value of the silicon steel product to be less than or equal to 10 mu m reaches 100 percent, and the ratio of the average edge thinning value to be less than or equal to 8 mu m reaches 98.5 percent, and obtain good control effect.

Description

Single tapering working roll roll shifting milling train edge thinning feedback

Technical field

The invention belongs to cold-rolling process control field, be specifically related to a kind of feedback of the single tapering working roll roll shifting milling train edge thinning for cold rolled silicon steel rolling.

Background technology

Energy-efficient, outstanding soft magnetism functional material that consumption is large that cold rolled silicon steel is first developed as country, be the most important thing of China's steel and iron industry breed structure readjustment, be widely used in the fields such as electric power, electromechanics, post and telecommunications and military project.Lateral thickness difference is the important quality index of silicon steel product, determines the lamination coefficient of silicon steel, and therefore in order to improve motor and transformer efficiency, high to the requirement of the lateral thickness difference of silicon steel, common requirement is less than or equal to 10 μm, and senior requirement is less than or equal to 5 μm.In order to reflect the situation that limit falls, usually adopting edge drop metering method at present, is exactly the difference amount of steel edge portion specified point thickness and datum mark.In cold-rolled process, steel edge portion thinning phenomenon is caused by the lateral flow of the elastic flattening of operation roll of mill and steel edge portion regional metal.Thinning in order to reduce steel edge portion, usually single tapering working roll roll shifting milling train T-WRS (TaperWorkRollShiftingMill) is adopted to be rolled at present, the working roll of T-WRS can realize moving axially, and be divided into conventional section (being generally plain-barreled roll) and conical section, as shown in Figure 1.When carrying out edge drop control, utilize roll shifting that steel edge portion is entered in working roll conical section for different in width band steel, reach edge partial thickening, reduce the object of edge thinning.

Edge drop control is divided into 3 parts: carry out work roll shaft pan position setup control according to the convex value of supplied materials; FEEDBACK CONTROL is carried out according to the thinning situation of milling train outlet steel edge portion; Work roll bending pressure compensation is carried out in change according to work roll shaft pan position.Wherein FEEDBACK CONTROL is the core of edge drop control, it is based on the band steel edge amount of the falling actual value that instrument mensuration falls in milling train Exit-edge, the axial displacement of dynamic corrections working roll, to reach the accurate control to (longitudinal direction) position edge drop amount in the middle part of band steel.Compared with the high speed development of band steel flatness automatic control system, edge drop control technology is still in the starting stage, and due to the problem of Controlling model and control strategy, the control accuracy in this field is general not high both at home and abroad, realizes effectively stablizing the less of commercial Application.Be wherein the Edge Drop Control system of representative exploitation with HIT, the limit depreciation being all application edge 1 characteristic point (as apart from edge 15mm), as control foundation, is then multiplied by regulation and control efficiency coefficient, obtains roll shifting knots modification.Owing to only considering edge 1 characteristic point, strip edge can not be represented completely and fall situation, so its control accuracy is not high.

For improving edge thinning FEEDBACK CONTROL precision, existing edge thinning feedback control system is studied, the present invention utilizes milling train Exit-edge to fall instrument, S1 (the 1st frame) ~ S3 (the 3rd frame) single tapering working roll roll shifting and SIEMENS controller, situation falls in application edge 3 characteristic point comprehensive descision limits, and the Controlling model created based on ternary linear function group, solve the roll shifting knots modification of 3 frames, propose to coordinate feedback control strategy, to improve Edge Drop Control precision.

Summary of the invention

The invention provides a kind of edge thinning feedback being suitable for single tapering working roll roll shifting cold-rolling mill, be intended to solve problem low with steel transverse gage uniformity control accuracy in cold rolled silicon steel production process, improve lamination rate and the magnetic property of silicon steel product, reach the object improving silicon steel end product quality and the market competitiveness.

For this reason, the solution that the present invention takes is:

A kind of single tapering working roll roll shifting milling train edge thinning feedback, it is characterized in that, the different modalities of deviation signal falls in the limit that edge thinning feedback control model falls instrument actual measurement for S5 i.e. the 5th rack outlet limit, is coordinated realize accurately controlling by S1 ~ S3 frame.Its control method and step are:

1, deviation signal process falls in limit

Must arrive after instrument measured signal falls in limit, first judge that limit falls instrument whether in measuring process, whether the measured value detecting fore side and transmission side exists, and whether judge that the measured value of instrument falls in limit normal; Then as limit, standard point will be fallen apart from edge 20mm, fall setting value with limit to subtract each other, limit must be arrived and fall deviation signal, whether judgment bias amount is in the dead zone range of≤8 μm again, if > 8 μm, carries out Edge Drop Control, dead band judges to adopt the maximum of deviation whether to exceed dead band amplitude limit to determine.

2, deviation signal matching falls in limit

While fall the difference of deviation according to mode, can be divided into outside deviation and inner deviation two kinds, outside deviation needs to increase roll shifting regulated quantity at upstream stand, and inner deviation then increases roll shifting regulated quantity in downstream frame.

For adapting to the needs that different modalities controls, deviation signal being fallen in limit and fit to cubic curve, being shown below:

△ED(x)＝e ₀+e ₁x+e ₂x ²+e ₃x ³(1)

In formula, e ₀, e ₁, e ₂, e ₃be respectively equation coefficient; X is curvilinear abscissa;

Opposite side falls deviation signal cubic curve and carries out discrete on this basis, is expressed as the vector form Δ ED of the discrete point composition being taken as 100 ~ 150mm along the edge width range upper limit.

3, each frame working roll roll shifting regulated value calculates

The feedback modifiers of working roll axial displacement calculates, and takes fore side and transmission side to carry out respectively; Steel edge portion is thickened to the computing of situation, first judge that the limit of edge thickening whether more than 3 μm rises and control amplitude limit value, then the roll shifting insertion of the direct given 10mm of its correction, makes edge thickening eliminate as early as possible.For the calculating of the thinning situation of steel edge portion, due to the roll shifting by S1 ~ S3 frame, so set up following ternary linear function group, obtain the roll shifting correction of 3 frames:

$\left\{\begin{array}{c}{\mathrm{\δS}}_{W,1}\·K_{\mathrm{SW}1,\mathrm{Ea}1}+{\mathrm{\δS}}_{W,2}\·K_{\mathrm{SW}2,\mathrm{Ea}1}+{\mathrm{\δS}}_{W,3}\·K_{\mathrm{SW}3,\mathrm{Ea}1}={\mathrm{\δE}}_{a1}\\ {\mathrm{\δS}}_{W,1}\·K_{\mathrm{SW}1,\mathrm{Ea}2}+{\mathrm{\δS}}_{W,2}\·K_{\mathrm{SW}2,\mathrm{Ea}2}+{\mathrm{\δS}}_{W,3}\·K_{\mathrm{SW}3,\mathrm{Ea}2}={\mathrm{\δE}}_{a2}\\ {\mathrm{\δS}}_{W,1}\·K_{\mathrm{SW}1,\mathrm{Ea}3}+{\mathrm{\δS}}_{W,2}\·K_{\mathrm{SW}2,\mathrm{Ea}3}+{\mathrm{\δS}}_{W,3}\·K_{\mathrm{SW}3,\mathrm{Ea}3}={\mathrm{\δE}}_{a3}\end{array}\right.---\left(2\right)$

In actual application, according to working control technique and precision needs, reduce the coordinate points participating in vector calculating; Selected 3 feature locations point a in steel edge portion width range ₁, a ₂, a ₃, its corresponding sides depreciation is δ E _a1, δ E _a2, δ E _a3; K _{swi, Ea1}, K _{sWi, Ea2}, K _{sWi, Ea3}be the amplitude of i-th frame roll shifting limit falling tone control effect vector at feature locations point, i=1,2,3; K _{swi, Ea1}=0.01 ~ 5.8, K _{sWi, Ea2}=0.008 ~ 4.6, K _{sWi, Ea3}=0.004 ~ 2.3; δ S _{w, 1}, δ S _{w, 2}, δ S _{w, 3}be respectively the working roll roll shifting adjustment amount of S1, S2, S3 frame.

Determined by the Volume control of silicon steel 5 frame cold-rolling mill edge thinning, to the edge thinning h apart from 80mm place, edge ₁₁₅-h ₈₀, taper work roller is the most obvious in the impact of S1, and less on frame impact thereafter; To the edge thinning h apart from 50mm place, edge ₁₁₅-h ₅₀, the impact of taper work roller not only to S1 and to S2 also clearly; To the edge thinning h apart from 20mm place, edge ₁₁₅-h ₂₀, taper work roller has impact to S1 ~ S3.

For improving control program computational efficiency in the controller, simplify as follows to computation model further:

According to the difference of each frame modulating properties, each frame roll shifting adjustable range is divided into: S _{w, 1}adjustable range is 60 ~ 100mm, S _{w, 2}adjustable range 30 ~ 70mm, S _{w, 3}adjustable range 0 ~ 50mm.

Define 3 feature locations point a ₁, a ₂, a ₃be respectively apart from edge 80mm, 50mm, 20mm, to ensure that the maximum roll shifting value of afer bay does not reach feature locations point that is the control objectives point of forebay, on this basis, obtain following reduced mechanical model (3) for formula (2):

$\left\{\begin{array}{c}{\mathrm{\δS}}_{W,1}\·K_{\mathrm{SW}1,E80}={\mathrm{\δE}}_{80}\\ {\mathrm{\δS}}_{W,2}\·K_{\mathrm{SW}2,E50}={\mathrm{\δE}}_{50}-{\mathrm{\δS}}_{W,2}\·K_{\mathrm{SW}1,E50}\\ {\mathrm{\δS}}_{W,3}\·K_{\mathrm{SW}3,E20}={\mathrm{\δE}}_{20}-{\mathrm{\δS}}_{W,3}\·K_{\mathrm{SW}1,E20}-{\mathrm{\δS}}_{W,3}\·K_{\mathrm{SW}2,E20}\end{array}\right.---\left(3\right)$

4, each frame roll shifting regulated value amplitude limit

After roll shifting regulated value has calculated, amplitude limit is carried out to regulated value.The scope of working roll axial displacement is determined by the active length of the length in cold rolling edge drop district and single tapering working roll, and be limited to 5 ~ 100mm to up-down rollers shaft orientation moving range in FEEDBACK CONTROL, up-down rollers potential difference is limited in 40mm; When work roll shifting operational ton exceedes limited range, will revise feedback quantity, principle is the preferential control ensureing relatively thinning side; Except each frame roll shifting value adjustable range, every block steel all arranges feedback regulation amplitude limit, then output violent change value when exceeding amplitude limit value; When debugging new spec, then amplitude limit value is manually adjusted.

Beneficial effect of the present invention is:

The present invention with the cold rolling single tapering working roll roll shifting milling train of five frames for object, minimum as object function using cold rolled silicon steel lateral thickness difference, establish the feedback control model for cold rolled silicon steel edge thinning, thus there is following characteristics and effect:

1, provide a kind of edge thinning adapting to commercial Application and detect data processing approximating method;

2, by the introducing of limit falling tone control effect vector, edge thinning FEEDBACK CONTROL precision is improved;

3, the edge thinning feedback control model of application edge 3 feature locations points is established;

Experimental data shows, the present invention can reduce the thinning defect of steel edge portion, and then improve the lamination rate of cold rolled silicon steel finished product, the ratio of edge thinning mean value≤10 of silicon steel product μm is made to reach 100%, the ratio of edge thinning mean value≤8 μm reaches 98.5%, obtains good control effects; The present invention can utilize original control appliance, is easy to safeguard, saving technique canalization of funds drops into, and meets the limit amount of degrading of cold rolled silicon steel increasingly stringent and needs of enhancing one's market competitiveness.

Accompanying drawing explanation

Fig. 1 is single tapering working roll roll shifting schematic diagram;

Fig. 2 is edge thinning deviation signal dead band judgement figure;

Fig. 3 is the modal graph of the outside deviation of edge thinning;

Fig. 4 is the modal graph of the inner deviation of edge thinning;

Fig. 5 is edge thinning feature locations point definition figure;

Fig. 6 is fore side edge thinning FEEDBACK CONTROL design sketch;

Fig. 7 is active side edge thinning FEEDBACK CONTROL design sketch.

Detailed description of the invention

Adopt five frame silicon steel cold continuous rollings, wherein S1 ~ S3 frame has single tapering working roll roll shifting function.Operation roll of mill diameter 360mm, barrel length 1480mm, taper angle tg θ=1/400.For effectively evaluating the effect of edge drop control, chosen distance edge 20mm, 50mm, 80mm tri-points, as the feature locations point evaluated, are evaluated fore side (OS) and transmission side (DS) respectively respectively.Arranging S1 ~ S3 frame is edge thinning process, possesses the edge thinning feedback control function of working roll roll shifting.Implementation procedure is as follows:

1, from roll shifting limit falling tone control efficiency coefficient database, roll shifting limit falling tone control efficiency coefficient is extracted according to steel grade, width, thickness initial conditions; Each point Edge Drop Control desired value is read from Edge Drop Control aim curve database.

2, deviation signal process falls in S5 rack outlet limit

(1) judge that instrument detection signal startup ON falls in limit and feature point detection thickness >=0 falls in limit.

(2) deviation signal matching falls in limit: matching take T as the program execution cycle, is averaged within this execution cycle, if it is t that the instrument sampling period falls in S5 back, then average sample number n is: n=T/t

The mean value in the T cycle can be obtained:

$\begin{array}{cc}\mathrm{if}& \mathrm{MINh}0<h_0^{\mathrm{Mea}}\left[j\right]\end{array},<\mathrm{MAXh}0$

$\stackrel{\&OverBar;}{h^{\mathrm{Mea}}\left[j\right]}=\frac{\stackrel{n}{\mathrm{\&Sigma;}}{h}^{\mathrm{Mea}}\left[j\right]}{n}$

Endif

3, the judgement of departure dead band falls in limit

As shown in Figure 2, carry out edge thinning deviation signal dead band and judge, with distance edge 115mm one-tenth-value thickness 1/10 h ₁₁₅as standard point, solve three feature locations point a within the scope of edge ₁, a ₂, a ₃(apart from edge 20mm, 50mm, 80mm) fore side and transmission side depreciation (establish and fallen by top roll roll shifting control operation side, control transmission side by lower roll roll shifting and fall):

${\mathrm{ED}}_{a1,\mathrm{OS}}^{\mathrm{Mea}}=h_{115,\mathrm{OS}}-h_{a1,\mathrm{OS}}$

${\mathrm{ED}}_{a1,\mathrm{DS}}^{\mathrm{Mea}}=h_{115,\mathrm{DS}}-h_{a1,\mathrm{DS}}$

Same calculating a2, a3 position;

Calculate limit and fall departure:

$\mathrm{\&Delta;}{\mathrm{ED}}_{a1,\mathrm{OS}}={\mathrm{ED}}_{a1,\mathrm{OS}}^{\mathrm{Mea}}-{\mathrm{ED}}_{a1,\mathrm{OS}}^{\mathrm{Set}}$

$\mathrm{\&Delta;}{\mathrm{ED}}_{a1,\mathrm{DS}}={\mathrm{ED}}_{a1,\mathrm{DS}}^{\mathrm{Mea}}-{\mathrm{ED}}_{a1,\mathrm{DS}}^{\mathrm{Set}}$

Same calculating a2, a3 position;

Judge while fall departure dead band:

if△ED _a1,OS<EDBandand△ED _a1,OS>-EDBand

Then△ED _a1,OS＝0

if△ED _a1,DS<EDBandand△ED _a1,DS>-EDBand

Then△ED _a1,DS＝0

Same calculating a2, a3 position; Its large deviations dead band EDBand=8 μm.

While fall the difference of deviation according to mode, outside deviation and inner deviation two kinds can be divided into, as shown in Figure 3,4.Outside deviation needs to increase string roller regulated quantity at upstream stand (as S1) more, and inner deviation needs to increase string roller regulated quantity in downstream frame (as S3) more.

4, S1 ~ S3 frame working roll roll shifting regulated value calculates

As shown in Figure 5, according to the difference of each frame modulating properties, each frame roll shifting adjustable range is divided into: S _{w, 1}adjustable range is 60 ~ 100mm, S _{w, 2}adjustable range 30 ~ 70mm, S _{w, 3}adjustable range 0 ~ 50mm.

Define 3 feature locations point a ₁, a ₂, a ₃be respectively apart from edge 80mm, 50mm, 20mm, to ensure that the maximum roll shifting value of afer bay does not reach feature locations point that is the control objectives point of forebay, by solving equation group, working roll axial displacement feedback modifiers calculates, and fore side and transmission side process respectively:

$\left\{\begin{array}{c}{\mathrm{\&delta;S}}_{W1,\mathrm{OS}}\&CenterDot;K_{\mathrm{SW}1,E80}={\mathrm{\&delta;E}}_{80}\\ {\mathrm{\&delta;S}}_{W2,\mathrm{OS}}\&CenterDot;K_{\mathrm{SW}2,E50}={\mathrm{\&delta;E}}_{50}-{\mathrm{\&delta;S}}_{W2,\mathrm{OS}}\&CenterDot;K_{\mathrm{SW}1,E50}\\ {\mathrm{\&delta;S}}_{W3,\mathrm{OS}}\&CenterDot;K_{\mathrm{SW}3,E20}={\mathrm{\&delta;E}}_{20}-{\mathrm{\&delta;S}}_{W3,\mathrm{OS}}\&CenterDot;K_{\mathrm{SW}1,E20}-{\mathrm{\&delta;S}}_{W3,\mathrm{OS}}\&CenterDot;K_{\mathrm{SW}2,E20}\end{array}\right.$

$\left\{\begin{array}{c}{\mathrm{\&delta;S}}_{W1,\mathrm{DS}}\&CenterDot;K_{\mathrm{SW}1,E80}={\mathrm{\&delta;E}}_{80}\\ {\mathrm{\&delta;S}}_{W2,\mathrm{DS}}\&CenterDot;K_{\mathrm{SW}2,E50}={\mathrm{\&delta;E}}_{50}-{\mathrm{\&delta;S}}_{W2,\mathrm{DS}}\&CenterDot;K_{\mathrm{SW}1,E50}\\ {\mathrm{\&delta;S}}_{W3,\mathrm{DS}}\&CenterDot;K_{\mathrm{SW}3,E20}={\mathrm{\&delta;E}}_{20}-{\mathrm{\&delta;S}}_{W3,\mathrm{DS}}\&CenterDot;K_{\mathrm{SW}1,E20}-{\mathrm{\&delta;S}}_{W3,\mathrm{DS}}\&CenterDot;K_{\mathrm{SW}2,E20}\end{array}\right.$

△S _Wi,OS＝△S _Wi,OS*G _SW,i

△S _Wi,DS＝△S _Wi,DS*G _SW,i

Wherein, K _{sWi, a1}be the value of the i-th frame roll shifting limit falling tone control efficiency coefficient in edge a1 point position; G _{sW, i}for roll shifting regulates gain coefficient.

5, S1 ~ S3 frame roll shifting regulated value amplitude limit exports

Model exports S1 ~ S3 gantry operation side, transmission side roll shifting insertion adjustment amount, totally 6 parameters.The scope of working roll axial displacement is determined by the active length of the length in cold rolling edge drop district and cone roller, all limits in FEEDBACK CONTROL to the alternate position spike (≤40mm) of up-down rollers shaft orientation moving range (5 ~ 100mm) and up-down rollers roll shifting.

Edge drop control situation within the scope of steel edge portion 0 ~ 100mm is shown in Fig. 6,7, and conclusion is as follows:

(1) on same milling train, the input of Edge Drop Control especially produces larger impact by edge thickness in the scope of 0-20mm.From above-mentioned data, while the amplitude of falling is greatly about 50%.

(2) as single tapering working roll roll shifting milling train, effectively can change the thickness distribution situation within the scope of edge 0 ~ 100mm, performance useful effect is fallen for elimination cold-rolled products limit.

(3) have single tapering working roll roll shifting milling train of Edge Drop Control means, effectively can be improved the THICKNESS CONTROL effect of steel edge portion by the utilization of tapering roller, reduce the generation that limit falls, the trimming amount reducing later process improves lumber recovery.

Claims (1)

1. a single tapering working roll roll shifting milling train edge thinning feedback, it is characterized in that, the different modalities of deviation signal falls in the limit that edge thinning feedback control model falls instrument actual measurement for S5 i.e. the 5th rack outlet limit, coordinated by S1 ~ S3 frame and realize accurately controlling, its control method and step are:

(1) deviation signal process falls in limit

Must arrive after instrument measured signal falls in limit, first judge that limit falls instrument whether in measuring process, whether the measured value detecting fore side and transmission side exists, and whether judge that the measured value of instrument falls in limit normal; Then as limit, standard point will be fallen apart from edge 20mm, fall setting value with limit to subtract each other, limit must be arrived and fall deviation signal, whether judgment bias amount is in the dead zone range of≤8 μm again, if > 8 μm, carries out Edge Drop Control, dead band judges to adopt the maximum of deviation whether to exceed dead band amplitude limit to determine;

(2) deviation signal matching falls in limit

While fall the difference of deviation according to mode, can be divided into outside deviation and inner deviation two kinds, outside deviation needs to increase roll shifting regulated quantity at upstream stand, and inner deviation then increases roll shifting regulated quantity in downstream frame;

For adapting to the needs that different modalities controls, deviation signal being fallen in limit and fit to cubic curve, being shown below:

△ED(x)＝e ₀+e ₁x+e ₂x ²+e ₃x ³(1)

In formula, e ₀, e ₁, e ₂, e ₃be respectively equation coefficient; X is curvilinear abscissa;

Opposite side falls deviation signal cubic curve and carries out discrete on this basis, is expressed as the vector form Δ ED of the discrete point composition being taken as 100 ~ 150mm along the edge width range upper limit;

(3) each frame working roll roll shifting regulated value calculates

The feedback modifiers of working roll axial displacement calculates, and takes fore side and transmission side to carry out respectively; Steel edge portion is thickened to the computing of situation, first judge that the limit of edge thickening whether more than 3 μm rises and control amplitude limit value, then the roll shifting insertion of the direct given 10mm of its correction, makes edge thickening eliminate as early as possible; For the calculating of the thinning situation of steel edge portion, due to the roll shifting by S1 ~ S3 frame, so set up following ternary linear function group, obtain the roll shifting correction of 3 frames:

$\left\{\begin{array}{c}{\mathrm{\&delta;S}}_{W,1}\&CenterDot;K_{\mathrm{SW}1,\mathrm{Ea}1}+{\mathrm{\&delta;S}}_{W,2}\&CenterDot;K_{\mathrm{SW}2,\mathrm{Ea}1}+{\mathrm{\&delta;S}}_{W,3}\&CenterDot;K_{\mathrm{SW}3,\mathrm{Ea}1}={\mathrm{\&delta;E}}_{a1}\\ {\mathrm{\&delta;S}}_{W,1}\&CenterDot;K_{\mathrm{SW}1,\mathrm{Ea}2}+{\mathrm{\&delta;S}}_{W,2}\&CenterDot;K_{\mathrm{SW}2,\mathrm{Ea}2}+{\mathrm{\&delta;S}}_{W,3}\&CenterDot;K_{\mathrm{SW}3,\mathrm{Ea}2}={\mathrm{\&delta;E}}_{a2}\\ {\mathrm{\&delta;S}}_{W,1}\&CenterDot;K_{\mathrm{SW}1,\mathrm{Ea}3}+{\mathrm{\&delta;S}}_{W,2}\&CenterDot;K_{\mathrm{SW}2,\mathrm{Ea}3}+{\mathrm{\&delta;S}}_{W,3}\&CenterDot;K_{\mathrm{SW}3,\mathrm{Ea}3}={\mathrm{\&delta;E}}_{a3}\end{array}\right.---\left(2\right)$

In actual application, according to working control technique and precision needs, reduce the coordinate points participating in vector calculating; Selected 3 feature locations point a in steel edge portion width range ₁, a ₂, a ₃, its corresponding sides depreciation is δ E _a1, δ E _a2, δ E _a3; K _{swi, Ea1}, K _{sWi, Ea2}, K _{sWi, Ea3}be the amplitude of i-th frame roll shifting limit falling tone control effect vector at feature locations point, i=1,2,3; K _{swi, Ea1}=0.01 ~ 5.8, K _{sWi, Ea2}=0.008 ~ 4.6, K _{sWi, Ea3}=0.004 ~ 2.3; δ S _{w, 1}, δ S _{w, 2}, δ S _{w, 3}be respectively the working roll roll shifting adjustment amount of S1, S2, S3 frame;

Determined by the Volume control of silicon steel 5 frame cold-rolling mill edge thinning, to the edge thinning h apart from 80mm place, edge ₁₁₅-h ₈₀, taper work roller is the most obvious in the impact of S1, and less on frame impact thereafter; To the edge thinning h apart from 50mm place, edge ₁₁₅-h ₅₀, the impact of taper work roller not only to S1 and to S2 also clearly; To the edge thinning h apart from 20mm place, edge ₁₁₅-h ₂₀, taper work roller has impact to S1 ~ S3;

For improving control program computational efficiency in the controller, simplify as follows to computation model further:

According to the difference of each frame modulating properties, each frame roll shifting adjustable range is divided into: S _{w, 1}adjustable range is 60 ~ 100mm, S _{w, 2}adjustable range 30 ~ 70mm, S _{w, 3}adjustable range 0 ~ 50mm;

Define 3 feature locations point a ₁, a ₂, a ₃be respectively apart from edge 80mm, 50mm, 20mm, to ensure that the maximum roll shifting value of afer bay does not reach feature locations point that is the control objectives point of forebay, on this basis, obtain following reduced mechanical model (3) for formula (2):

$\left\{\begin{array}{c}{\mathrm{\&delta;S}}_{W,1}\&CenterDot;K_{\mathrm{SW}1,E80}={\mathrm{\&delta;E}}_{80}\\ {\mathrm{\&delta;S}}_{W,2}\&CenterDot;K_{\mathrm{SW}2,E50}={\mathrm{\&delta;E}}_{50}-{\mathrm{\&delta;S}}_{W,2}\&CenterDot;K_{\mathrm{SW}1,E50}\\ {\mathrm{\&delta;S}}_{W,3}\&CenterDot;K_{\mathrm{SW}3,E20}={\mathrm{\&delta;E}}_{20}-{\mathrm{\&delta;S}}_{W,3}\&CenterDot;K_{\mathrm{SW}1,E20}-{\mathrm{\&delta;S}}_{W,3}\&CenterDot;K_{\mathrm{SW}2,E20}\end{array}\right.---\left(3\right)$

(4) each frame roll shifting regulated value amplitude limit

After roll shifting regulated value has calculated, amplitude limit is carried out to regulated value; The scope of working roll axial displacement is determined by the active length of the length in cold rolling edge drop district and single tapering working roll, and be limited to 5 ~ 100mm to up-down rollers shaft orientation moving range in FEEDBACK CONTROL, up-down rollers potential difference is limited in 40mm; When work roll shifting operational ton exceedes limited range, will revise feedback quantity, principle is the preferential control ensureing relatively thinning side; Except each frame roll shifting value adjustable range, every block steel all arranges feedback regulation amplitude limit, then output violent change value when exceeding amplitude limit value; When debugging new spec, then amplitude limit value is manually adjusted.