CN106529037A - Tension compensation method aiming at reducing influence of furnace roller roughness attenuation in continuous annealing process - Google Patents

Abstract

The invention discloses a tension compensation method aiming at reducing influence of furnace roller roughness attenuation in a continuous annealing process. The method mainly comprises the following steps executed by a computer: 1, collecting a key device and technological parameters of a unit; 2, collecting parameters of strip steel; 3, defining related parameters; 4, establishing a mathematic model which reflects the relationship among a furnace roller current roughness Rar, a furnace roller original roughness Rar0 and a furnace roller service mileage L; 5, calculating a friction coefficient according to a regression model; 6, calculating an optimum set tension sample TLi when the furnace roller service mileage is Li' 7, establishing a mathematic model which reflects the relationship between a tension compensation value <delta>T and the furnace roller service mileage L; and 8, outputting the tension compensation value <delta>T. according to the method disclosed by the invention, the tension compensation for strip steel in the continuous annealing process is realized, so that the stable plate permeability of the strip steel is improved to the greatest extent under the condition that the furnace roller roughness attenuates continuously.

Description

Continuous annealing process is to drop tension compensating method of the furnace roller roughness influence of fading as target

Technical field

The invention belongs to metallurgical technical field of steel rolling, more particularly to a kind of tension compensating side for reducing the decay of furnace roller roughness Method.

Background technology

Cold-strip steel before finishing needed to eliminate processing hardening, residual stress and improvement machine to reach through annealing The purpose of tool performance.And continuous annealing is as a result of quick heating, quickly high annealing, the technology such as cooling, Wetted constructures, The operations such as cleaning, annealing, smooth, finishing can be integrated, possess efficiency high, production in enormous quantities with short production cycle, suitable It is widely applied etc. series of advantages.In cold rolling production procedure, continuous annealing unit is increasingly becoming cold rolling organization of production Significant points, and the equipment state of stove section directly affects continuous annealing unit ruuning situation.In actual production process, stove section stove Roll surface roughness change is that continuous annealing unit stably leads to one of focal issue of plate^[1-4].In each process section in continuous annealing unit stove, In order to ensure that roll surface coefficient of friction disclosure satisfy that the strip tension of continuous annealing unit stove section keeps, and improve the anti-bulk property of roll surface Deng the roll surface of stove section slewing rollers and idler roller adopts plasma spray technology^[5,6].Stove roller surface coatings be formed by etc. from The spraying coating process such as son, supersonic speed, blast make spraying particle form huge kinetic energy after producing at a high speed, and on furnace roller surface, bonding is into thickness The coating of degree about 50mm.Main Function is to make roll surface have higher roughness, wearability and non-oxidizability, to make strip exist It is synchronous with furnace roller holding during operation, so as to avoid due to respect to slide or aoxidize bonding and cause belt steel surface scratch or Furnace sow.

Even so, the abnormal conditions such as tension force drop also often occurs in continuous annealing unit stove section, band when serious, can be caused Steel sideslip is close to, wrinkles, until broken belt, directly affects the high-speed stable running of unit.Through in-site measurement and theory analysis It was found that, the decay of furnace roller surface roughness is the major reason for causing tension force to drop.And research of the Chinese scholars to this problem It is relatively fewer, lack related Treatment process as theoretical direction, scene is changed furnace roller to keep to furnace roller often through continuous The requirement of roughness, reaches the purpose of preventing and treating stove section tension force drop, undoubtedly the larger maintenance cost that increased equipment, this Sample, how correctly understanding furnace roller surface roughness attenuation and carrying out corresponding tension compensating just becomes site technology tackling key problem Focus.

Bibliography：

[1] Lee can exempt from, Liu Jianxiong, Li Junhong. steel strip in continuous annealing furnace horizontal tension distribution research [J]. at material heat Reason technology, 2010,39 (04)：148-150.

[2] Zhang Qingdong, Chang Tiezhu, Dai Jiangbo, Wang Wenguang. the finite element simulation of strip tensile stress cross direction profiles in continuous annealing line [J]. University of Science ＆ Technology, Beijing's journal, 2006,28 (12)：1162-1166.

[3] Zhang Lixiang, Li Jun, Zhang Li are raised. the research [J] of continuous annealing unit strip wooden dipper song critical tension. iron and steel .2012,47 (6)：42-45.

[4] Wang Lu. Automobile Plate annealing furnace roller face coat is selected and the buildup analysis of causes [J]. material protection, 2006, 39(11):68-71.

[5] Liu Shunxin, Zhao Zhijian, Hao Ying, etc. cold rolling continuous annealed strip surface pit Defects Forming Mechanism and countermeasure [J]. Metal heat treatmet, 2014,39 (9)：147-150.

[6] change of Wang Jing .CAPL furnace rollers surface roughness and analysis [J]. metallurgical equipment, 2005, (5)：21-24.

The content of the invention

It is an object of the invention to provide a kind of workload it is little, can on-line control, can guarantee that strip stably lead to plate, improve life The continuous annealing process of efficiency is produced to drop tension compensating method of the furnace roller roughness influence of fading as target.

The present invention mainly fully combines the equipment and technology feature of continuous annealing unit, and stably logical plate is comprehensively controlled to have formulated strip Index processed, the sideslip, hot wooden dipper Qu Zuowei constraintss by band in each process section, establish it is a set of suitable for continuous annealing process with Tension compensating technology of the drop furnace roller roughness influence of fading for target.

The present invention includes following the step of performed by computer：

A () collects the key equipment and technological parameter of unit, mainly include：The setting of current process section in continuous annealing unit stove Tension force T, furnace roller military service milimeter number L, furnace roller surface initial roughness Ra_r0, critical sideslip factor ψ^*, critical wooden dipper song index λ^*

B () collects the parameter of strip, mainly include：Strip width B, belt steel thickness h, strip Poisson's ratio ν, strip friction system Number regression model factor alpha₀、α₁、α₂、α₃, weight coefficient A₁；

C () defines relevant parameter, mainly include：The current roughness Ra in furnace roller surface_r, furnace roller surface roughness attenuation coefficient α_L, furnace roller surface roughness attenuation coefficient initial value α_L0, computational accuracy Σ, optimal setting when furnace roller military service milimeter number is L Power T_L, number of samples m=10, furnace roller surface initial roughness sample Ra_r0i, current roughness profile Ra in furnace roller surface_ri, furnace roller Military service kilometer numerical example L_i, furnace roller military service milimeter number is L_iWhen optimal setting tension force sample T_Li, furnace roller military service milimeter number is L_iWhen Optimal setting tension force initial value T_Li0, i=1,2, m；Tension compensating value Δ T, the current roughness in furnace roller surface with rub Wipe the regression model factor alpha between coefficient₀、α₁、α₂、α₃, the regression model coefficient a between tension compensating value and military service milimeter number₁、 a₂、a₃, the regression model coefficient initial value a between tension compensating value and military service milimeter number₁', a₂', a₃', band sideslip factor ψ, Band wooden dipper song index λ, weight coefficient A₁, roughness Controlling object function G₁(X), strip stably leads to plate Comprehensive Control object function F (X), strip stably leads to plate Comprehensive Control object function initial value F₀, tension compensating Controlling object function G₂(X)；

D () sets up the current roughness Ra in reflection furnace roller surface_r, furnace roller surface initial roughness Ra_r0, furnace roller military service milimeter number Mathematical Modeling between L；

(d1) set up basic model framework

(d2) sample is collected, including：Furnace roller surface initial roughness sample Ra_r0i, the current roughness profile in furnace roller surface Ra_ri, furnace roller military service kilometer numerical example L_i；

(d3) give furnace roller surface roughness attenuation coefficient initial value α_L0And computational accuracy Σ；

(d4) calculate roughness Controlling object function G₁(X)；

(d5) judge G₁(X) whether≤Σ sets up？If inequality is false, change furnace roller surface roughness attenuation coefficient Initial value α_L0, step (d4) is proceeded to, is recalculated；If inequality is set up, furnace roller surface roughness attenuation coefficient α is drawn_L= α_L0, and determine the current roughness Ra in furnace roller surface_r, furnace roller surface initial roughness Ra_r0, number between furnace roller military service milimeter number L Model is learned, step (e) is proceeded to；

E () calculates coefficientoffrictionμ=α according to regression model₀+α₁×Ra_r+α₂×Ra_r ²+α₃×Ra_r ³；

F it is L that () calculates furnace roller military service milimeter number_iWhen optimal setting tension force sample T_Li；

(f1) make i=1；

(f2) it is L to give furnace roller military service milimeter number_iWhen optimal setting tension force initial value T_Li0=0.6T and strip stably lead to Plate Comprehensive Control object function initial value F₀；

(f3) band sideslip factor ψ, band wooden dipper song index λ and strip are calculated and stably leads to plate Comprehensive Control object function F (X)；

(f4) judgeWhether set up？If inequality is set up, T is preserved_Li0, proceed to step (f5)；It is no Then, directly proceed to step (f5)；

(f5) judge T_Li0Whether ＜ 1.4T set up？If so, then make T_Li0=T_Li0+ 0.1MPa, proceeds to step (f3)；It is no Then, proceed to step (f6)；

(f6) judge whether i ＜ m set up？If inequality is set up, i=i+1 is made, step (f2) is proceeded to；If inequality into It is vertical, then proceed to step (g)；

G () sets up the Mathematical Modeling of relation between reflection reflection tension compensating value Δ T, furnace roller military service milimeter number L；

(g1) set up basic model framework Δ T=a₁L+a₂L²+a₃L³；

(g2) give the regression model coefficient initial value a between tension compensating value and military service milimeter number₁', a₂', a₃' and meter Calculate precision Σ；

(g3) calculate tension compensating Controlling object function G₂(X)；

(g4) judge G₂(X) whether≤Σ sets up？If inequality is false, change tension force offset and military service milimeter number Between regression model coefficient initial value a₁', a₂', a₃', step (g3) is proceeded to, is recalculated；If inequality is set up, draw Regression model coefficient a between tension compensating value and military service milimeter number₁, a₂, a₃, and determine that tension compensating value Δ T, furnace roller are on active service Mathematical Modeling between milimeter number L, proceeds to step (h)；

H () exports tension compensating value Δ T.

The present invention is had the advantage that compared with prior art：

Workload is little, can on-line control, ensure strip do not occur the defects such as sideslip, wooden dipper song and ensure belt steel material While energy, realize that the on-line control to strip tension is compensated, drastically increase production efficiency, and ensure to the full extent Requirement of the lower procedure to high-quality plate shape, realizes continuous annealing unit and stably leads at a high speed plate, be that scene creates larger Jing Ji benefit, the value with further genralrlization application.

Description of the drawings

Fig. 1 is total calculation flow chart of the present invention；

Calculation flow charts of the Fig. 2 for step (d) of the present invention；

Calculation flow charts of the Fig. 3 for step (f) of the present invention；

Calculation flow charts of the Fig. 4 for step (g) of the present invention；

Specific embodiment

Embodiment 1

Selection steel grade is CQ, the strip of specification 0.50mm × 1500mm, by taking domestic certain factory's continuous annealing unit as an example, such as Fig. 1 institutes The continuous annealing process shown is to drop total calculation flow chart of tension compensating method of the furnace roller roughness influence of fading as target：

First, the key equipment and technological parameter of unit are collected in step a, is mainly included：It is current in continuous annealing unit stove The setting tension force T=6.5MPa of process section, furnace roller military service milimeter number L=1100km, furnace roller surface initial roughness Ra_r0=5Ra, Critical sideslip factor ψ *=35, critical wooden dipper song index λ *=0.8；

Subsequently, as shown in Fig. 2 in stepb, collecting the parameter of strip, mainly include：Strip width B=1500mm, band Steel thickness h=0.5mm, strip Poisson's ratio ν=0.3, strip coefficient of friction regression model factor alpha₀=0.2, α₁=0.15, α₂=- 0.0028、α₃=0.00018, weight coefficient A₁=0.4；

Subsequently, in step c, relevant parameter is defined, is mainly included：The current roughness Ra in furnace roller surface_r, furnace roller surface is thick Rugosity attenuation coefficient α_L, furnace roller surface roughness attenuation coefficient initial value α_L0, computational accuracy Σ, when furnace roller military service milimeter number is L Optimal setting tension force T_L, number of samples m=10, furnace roller surface initial roughness sample Ra_r0i, the current roughness in furnace roller surface Sample Ra_ri, furnace roller military service kilometer numerical example L_i, furnace roller military service milimeter number is L_iWhen optimal setting tension force sample T_Li, furnace roller clothes Labour milimeter number is L_iWhen optimal setting tension force initial value T_Li0, i=1,2, m；Tension compensating value Δ T, furnace roller surface Current regression model factor alpha between roughness and coefficient of friction₀、α₁、α₂、α₃, between tension compensating value and military service milimeter number Regression model coefficient a₁、a₂、a₃, the regression model coefficient initial value a between tension compensating value and military service milimeter number₁', a₂', a₃', Band sideslip factor ψ, band wooden dipper song index λ, weight coefficient A₁, roughness Controlling object function G₁(X), stably logical plate is comprehensive for strip Controlling object function F (X) is closed, strip stably leads to plate Comprehensive Control object function initial value F₀, tension compensating Controlling object function G₂ (X)；

Subsequently, in step d, set up the current roughness Ra in reflection furnace roller surface_r, furnace roller surface initial roughness Ra_r0, stove Mathematical Modeling between roller military service milimeter number L；

Subsequently, in step d1, set up basic model framework

Subsequently, in step d2, sample is collected, including：Furnace roller surface initial roughness sample Ra_r01=Ra_r02=Ra_r03 =Ra_r04=Ra_r05=Ra_r06=Ra_r07=Ra_r08=Ra_r09=Ra_r010=5Ra, current roughness profile Ra in furnace roller surface_r1= 4.3Ra、Ra_r2=4.4Ra, Ra_r3=4.3Ra, Ra_r4=4.5Ra, Ra_r5=4.4Ra, Ra_r6=4.2Ra, Ra_r7=4.4Ra, Ra_r8 =4.7Ra, Ra_r8=4.8Ra, Ra_r9=4.6Ra, Ra_r10=4.4Ra, furnace roller military service kilometer numerical example L₁=550km, L₂= 650km、L₃=750km, L₄=580km, L₅=760km, L₆=850km, L₇=660km, L₈=360km, L₉=560km, L₁₀ =380km；

Subsequently, in step d3, give furnace roller surface roughness attenuation coefficient initial value α_L0=0.001 and computational accuracy Σ =0.00001；

Subsequently, in step d4, calculate roughness Controlling object function G₁(X)=5738.6；

Subsequently, in step d5, judge whether 5738.6≤0.00001 set up？Obviously, inequality is false, then change Furnace roller surface roughness attenuation coefficient initial value α_L0, step 4-4 is proceeded to, is recalculated；

Subsequently, in step e, coefficientoffrictionμ=0.27 is calculated according to regression model；

Subsequently, as shown in figure 3, in step f, it is L to calculate furnace roller military service milimeter number_iWhen optimal setting tension force sample T_Li；

Subsequently, in step f1, make i=1；

Subsequently, in step f2, it is L to give furnace roller military service milimeter number₁When optimal setting tension force initial value T_L10= 3.9MPa and strip stably lead to plate Comprehensive Control object function initial value F₀=10¹⁰；

Subsequently, in step f3, band sideslip factor ψ=22, band wooden dipper song index λ=0.36 and strip are calculated stable Logical plate Comprehensive Control object function F (X)=0.5；

Subsequently, in step f4, judgeWhether set up？Obviously, inequality is set up, then preserve T_Li0, proceed to Step f5；

Subsequently, in step f5, judge whether 3.9 ＜ 9.1 set up？Obviously, inequality is set up, then make T_Li0=3.9+ 0.1MPa, proceeds to step f3；

Subsequently, in step f6, judge whether 1 ＜ 10 sets up？Obviously, inequality is set up, then, make i=1+1, proceed to step Rapid f2；

Subsequently, as shown in figure 4, in step g, set up reflection reflection tension compensating value Δ T, furnace roller military service milimeter number L it Between relation Mathematical Modeling；

Subsequently, in step g1, set up basic model framework Δ T=a₁L+a₂L²+a₃L³；

Subsequently, in step g2, give the regression model coefficient initial value a between tension compensating value and military service milimeter number₁' =0.01, a₂'=0.01, a₃'=0.01, and computational accuracy Σ=0.00001；

Subsequently, in step g3, calculate tension compensating Controlling object function G₂(X)=582.2；

Subsequently, in step g4, judge whether 582.2≤0.00001 set up？Obviously, inequality is false, then change and open Regression model coefficient initial value a between force compensating value and military service milimeter number₁', a₂', a₃', step g3 is proceeded to, is recalculated；

Subsequently, in step h, export tension compensating value Δ T=0.4MPa.

According to above-mentioned result of implementation, for the sideslip of the incoming band steel in each process section of continuous annealing unit of different size And wooden dipper song trend, on the premise of strip quality is ensured, can be adjusted by tension compensating.As shown in table 1, it is using this Indices contrast situation before and after invention.

Before and after table 1 optimizes, indices are contrasted

Embodiment 2

Selection steel grade is CQ, the strip of specification 0.40mm × 1350mm, by taking domestic certain factory's continuous annealing unit as an example：

First, the key equipment and technological parameter of unit are collected in step a, is mainly included：It is current in continuous annealing unit stove The setting tension force T=7MPa of process section, furnace roller military service milimeter number L=1000km, furnace roller surface initial roughness Ra_r0=4.8Ra, Critical sideslip factor ψ *=35, critical wooden dipper song index λ *=0.8

Subsequently, in stepb, the parameter of strip is collected, is mainly included：Strip width B=1350mm, belt steel thickness h= 0.4mm, strip Poisson's ratio ν=0.3, strip coefficient of friction regression model factor alpha₀=0.2, α₁=0.15, α₂=-0.0028, α₃ =0.00018, weight coefficient A₁=0.4；

Subsequently, in step c, relevant parameter is defined, is mainly included：The current roughness Ra in furnace roller surface_r, furnace roller surface is thick Rugosity attenuation coefficient α_L, furnace roller surface roughness attenuation coefficient initial value α_L0, computational accuracy Σ, when furnace roller military service milimeter number is L Optimal setting tension force T_L, number of samples m=10, furnace roller surface initial roughness sample Ra_r0i, the current roughness in furnace roller surface Sample Ra_ri, furnace roller military service kilometer numerical example L_i, furnace roller military service milimeter number is L_iWhen optimal setting tension force sample T_Li, furnace roller clothes Labour milimeter number is L_iWhen optimal setting tension force initial value T_Li0, i=1,2, m；Tension compensating value Δ T, furnace roller surface Current regression model factor alpha between roughness and coefficient of friction₀、α₁、α₂、α₃, between tension compensating value and military service milimeter number Regression model coefficient a₁、a₂、a₃, the regression model coefficient initial value a between tension compensating value and military service milimeter number₁', a₂', a₃', Band sideslip factor ψ, band wooden dipper song index λ, weight coefficient A₁, roughness Controlling object function G₁(X), stably logical plate is comprehensive for strip Controlling object function F (X) is closed, strip stably leads to plate Comprehensive Control object function initial value F₀, tension compensating Controlling object function G₂ (X)；

Subsequently, in step d, set up the current roughness Ra in reflection furnace roller surface_r, furnace roller surface initial roughness Ra_r0, stove Mathematical Modeling between roller military service milimeter number L；

Subsequently, in step d1, set up basic model framework

Subsequently, in step d2, sample is collected, including：Furnace roller surface initial roughness sample Ra_r01=Ra_r02=Ra_r03 =Ra_r04=Ra_r05=Ra_r06=Ra_r07=Ra_r08=Ra_r09=Ra_r010=4.8Ra, current roughness profile Ra in furnace roller surface_r1 =4.2Ra, Ra_r2=3.9Ra, Ra_r3=4.3Ra, Ra_r4=3.8Ra, Ra_r5=4.1Ra, Ra_r6=4.2Ra, Ra_r7=4.4Ra, Ra_r8=3.6Ra, Ra_r8=4.2Ra, Ra_r9=4.3Ra, Ra_r10=4.1Ra, furnace roller military service kilometer numerical example L₁=440km, L₂ =650km, L₃=580km, L₄=820km, L₅=560km, L₆=850km, L₇=760km, L₈=870km, L₉=680km, L₁₀=940km；

Subsequently, in step d3, give furnace roller surface roughness attenuation coefficient initial value α_L0=0.001 and computational accuracy Σ =0.00001；

Subsequently, in step d4, calculate roughness Controlling object function G₁(X)=462.5；

Subsequently, in step d5, judge whether 462.5≤0.00001 set up？Obviously, inequality is false, then change stove Roll surface roughness attenuation coefficient initial value α_L0, step 4-4 is proceeded to, is recalculated；

Subsequently, in step e, coefficientoffrictionμ=0.23 is calculated according to regression model；

Subsequently, in step f, it is L to calculate furnace roller military service milimeter number_iWhen optimal setting tension force sample T_Li；

Subsequently, in step f1, make i=1；

Subsequently, in step f2, it is L to give furnace roller military service milimeter number₁When optimal setting tension force initial value T_L10= 4.2MPa and strip stably lead to plate Comprehensive Control object function initial value F₀=10¹⁰；

Subsequently, in step f3, band sideslip factor ψ=25, band wooden dipper song index λ=0.32 and strip are calculated stable Logical plate Comprehensive Control object function F (X)=0.52；

Subsequently, in step f4, judgeWhether set up？Obviously, inequality is set up, then preserve T_Li0, turn Enter step f5；

Subsequently, in step f5, judge whether 4.2 ＜ 9.8 set up？Obviously, inequality is set up, then make T_Li0=4.2+ 0.1MPa, proceeds to step f3；

Subsequently, in step f6, judge whether 1 ＜ 10 sets up？Obviously, inequality is set up, then, make i=1+1, proceed to step Rapid f2；

Subsequently, in step g, set up the number of relation between reflection reflection tension compensating value Δ T, furnace roller military service milimeter number L Learn model；

Subsequently, in step g1, set up basic model framework Δ T=a₁L+a₂L²+a₃L³；

Subsequently, in step g2, give the regression model coefficient initial value a between tension compensating value and military service milimeter number₁' =0.01, a₂'=0.01, a₃'=0.01, and computational accuracy Σ=0.00001；

Subsequently, in step g3, calculate tension compensating Controlling object function G₂(X)=48.2；

Subsequently, in step g4, judge whether 48.2≤0.00001 set up？Obviously, inequality is false, then change and open Regression model coefficient initial value a between force compensating value and military service milimeter number₁', a₂', a₃', step g3 is proceeded to, is recalculated；

Subsequently, in step h, export tension compensating value Δ T=0.6MPa.

According to above-mentioned result of implementation, decay for furnace roller roughness and cause the incoming band steel of different size in continuous annealing Sideslip and wooden dipper song trend in each process section of unit, on the premise of strip quality is ensured, can be adjusted by tension compensating Section.Finally, in order to illustrate the advance of correlation technique of the present invention, domestic certain continuous annealing unit logical board defect amount in 2014 is 138t/, this technology were applied to from 2015 after the unit Jing after break-in compatibility after a while, and defect level declines within 2015 To 14t/, product defects rate drops to 0.0023% from 0.0201%, and ratio of defects has obtained effective control, is that unit is created Larger economic benefit.

Claims (1)

1. a kind of continuous annealing process is to drop tension compensating method of the furnace roller roughness influence of fading as target, it is characterised in that：It wraps Include following the step of performed by computer：

A () collects the key equipment and technological parameter of unit, mainly include：The setting tension force of current process section in continuous annealing unit stove T, furnace roller military service milimeter number L, furnace roller surface initial roughness Ra_r0, critical sideslip factor ψ *, critical wooden dipper song index λ *；

B () collects the parameter of strip, mainly include：Strip width B, belt steel thickness h, strip Poisson's ratio ν, strip coefficient of friction are returned Return model coefficient α₀、α₁、α₂、α₃, weight coefficient A₁；

C () defines relevant parameter, mainly include：The current roughness Ra in furnace roller surface_r, furnace roller surface roughness attenuation coefficient α_L, stove Roll surface roughness attenuation coefficient initial value α_L0, computational accuracy Σ, optimal setting tension force T when furnace roller military service milimeter number is L_L, Number of samples m=10, furnace roller surface initial roughness sample Ra_r0i, current roughness profile Ra in furnace roller surface_ri, furnace roller is on active service public Mileage sample L_i, furnace roller military service milimeter number is L_iWhen optimal setting tension force sample T_Li, furnace roller military service milimeter number is L_iWhen it is optimal Setting tension force initial value T_Li0, i=1,2, m；Tension compensating value Δ T, the current roughness in furnace roller surface and coefficient of friction Between regression model factor alpha₀、α₁、α₂、α₃, the regression model coefficient a between tension compensating value and military service milimeter number₁、a₂、a₃, Regression model coefficient initial value a between tension compensating value and military service milimeter number₁', a₂', a₃', band sideslip factor ψ, band wooden dipper Bent index λ, weight coefficient A₁, roughness Controlling object function G₁(X), strip stably leads to plate Comprehensive Control object function F (X), band Steel stably leads to plate Comprehensive Control object function initial value F₀, tension compensating Controlling object function G₂(X)；

D () sets up the current roughness Ra in reflection furnace roller surface_r, furnace roller surface initial roughness Ra_r0, furnace roller military service milimeter number L it Between Mathematical Modeling；

(d1) set up basic model framework

(d2) sample is collected, including：Furnace roller surface initial roughness sample Ra_r0i, current roughness profile Ra in furnace roller surface_ri, stove Roller military service kilometer numerical example L_i；

(d3) give furnace roller surface roughness attenuation coefficient initial value α_L0And computational accuracy Σ；

(d4) calculate roughness Controlling object function G₁(X)；

$G_1\left(X\right)=\sqrt{\underset{i=1}{\overset{m}{\&Sigma;}}{({\mathrm{Ra}}_{ri}-{\mathrm{Ra}}_{r0i}\frac{1}{{\mathrm{\&alpha;}}_{L}L+1})}^2}$

(d5) judge G₁(X) whether≤Σ sets up？If inequality is false, change furnace roller surface roughness attenuation coefficient initial Value α_L0, step (d4) is proceeded to, is recalculated；If inequality is set up, furnace roller surface roughness attenuation coefficient α is drawn_L=α_L0, and Determine the current roughness Ra in furnace roller surface_r, furnace roller surface initial roughness Ra_r0, mathematical modulo between furnace roller military service milimeter number L Type, proceeds to step (e)；

E () calculates coefficientoffrictionμ=α according to regression model₀+α₁×Ra_r+α₂×Ra_r ²+α₃×Ra_r ³；

F it is L that () calculates furnace roller military service milimeter number_iWhen optimal setting tension force sample T_Li；

(f1) make i=1；

(f2) it is L to give furnace roller military service milimeter number_iWhen optimal setting tension force initial value T_Li0It is comprehensive that=0.6T and strip stably lead to plate Close Controlling object function initial value F₀；

(f3) band sideslip factor ψ, band wooden dipper song index λ and strip are calculated and stably leads to plate Comprehensive Control object function F (X)；

$F\left(X\right)=A_1\frac{\mathrm{\&psi;}}{\mathrm{\&psi;}*}+(1-A_1)\frac{\mathrm{\&lambda;}}{\mathrm{\&lambda;}*}$

(f4) judgeWhether set up？If inequality is set up, T is preserved_Li0, proceed to step (f5)；Otherwise, directly Proceed to step (f5)；

(f5) judge T_Li0Whether ＜ 1.4T set up？If so, then make T_Li0=T_Li0+ 0.1MPa, proceeds to step (f3)；Otherwise, turn Enter step (f6)；

(f6) judge whether i ＜ m set up？If inequality is set up, i=i+1 is made, step (f2) is proceeded to；If inequality is set up, Step (g) is proceeded to then；

G () sets up the Mathematical Modeling of relation between reflection reflection tension compensating value Δ T, furnace roller military service milimeter number L；

(g1) set up basic model framework Δ T=a₁L+a₂L²+a₃L³；

(g2) give the regression model coefficient initial value a between tension compensating value and military service milimeter number₁', a₂', a₃' and calculate essence Degree Σ；

(g3) calculate tension compensating Controlling object function G₂(X)；

$G_2\left(X\right)=\sqrt{\underset{i=1}{\overset{m}{\&Sigma;}}{(T_{Li}-T-a_1{L}_i+a_2{L}_i^2+a_3{L}_i^3)}^2}$

(g4) judge G₂(X) whether≤Σ sets up？If inequality is false, between change tension force offset and military service milimeter number Regression model coefficient initial value a₁', a₂', a₃', step (g3) is proceeded to, is recalculated；If inequality is set up, tension force is drawn Regression model coefficient a between offset and military service milimeter number₁, a₂, a₃, and determine tension compensating value Δ T, furnace roller military service kilometer Mathematical Modeling between number L, proceeds to step (h)；

H () exports tension compensating value Δ T.