CN113988472A - Method for optimizing process lubrication system of 5+1 type cold continuous rolling unit in five-stand rolling mode - Google Patents

Method for optimizing process lubrication system of 5+1 type cold continuous rolling unit in five-stand rolling mode Download PDF

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CN113988472A
CN113988472A CN202111392853.0A CN202111392853A CN113988472A CN 113988472 A CN113988472 A CN 113988472A CN 202111392853 A CN202111392853 A CN 202111392853A CN 113988472 A CN113988472 A CN 113988472A
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战波
王甲子
叶学卫
黄文铭
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Baosteel Zhanjiang Iron and Steel Co Ltd
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Abstract

The invention discloses a method for optimizing a process lubrication system of a 5+1 type cold continuous rolling unit in a five-rack rolling mode, which adopts a five-pass mode to carry out rolling, namely, a No. 2 or No. 3 rack is stopped to carry out rolling and is numbered as a No. 1,2,3,4 and 5 rack again; the method comprises the steps of collecting set parameters of a rolling schedule in the cold continuous rolling process of the ultrahigh-strength steel; collecting technological lubrication system parameters; and calculating the optimal parameters corresponding to the minimum value of the total objective function of each rack. Compared with the prior art, the method has the advantages that the method obtains remarkable application effect on site, and through the application of the technology, the process lubrication system is optimized under the condition that one pass is reduced in the rolling process of the high-strength steel of the 5+1 type cold continuous rolling unit, the stability of the whole unit is ensured, and the economic benefit of the unit is improved.

Description

Method for optimizing process lubrication system of 5+1 type cold continuous rolling unit in five-stand rolling mode
Technical Field
The invention relates to the field of cold rolling, in particular to a method for optimizing a process lubrication system of a 5+1 type cold continuous rolling unit in a five-stand rolling mode.
Background
In the past, the research on the process lubrication system of the cold continuous rolling unit mainly focuses on a five-stand cold continuous rolling unit and mainly focuses on the production of common strip steel. For a 5+1 type cold continuous rolling unit, a 4 th stand rolling mill is different from other stand rolling mills and is a small-roll-diameter rolling mill. When the working frame is selected in the five-frame rolling mode, the characteristics of each frame and the stability of the unit are considered, and the 1 st frame, the 5 th frame and the 6 th frame are necessary frames. Thus, the selection of the five stand rolling mode includes three cases: (1) deactivating the 2 nd stand mill; (2) deactivating the 3 rd stand mill; (3) the 4 th stand rolling mill is deactivated. Because the 2 nd stand is adjacent to the 3 rd stand, the two stand mills are identical, and in essence, the first mode is identical to the second mode. For the third mode, the roll diameters of all the frames are the same, and the roll diameter is basically the same as that of a common five-frame cold continuous rolling unit. In the first and second modes, the small-roll-diameter rolling mill replaces the conventional rolling mill, the conventional five-stand cold continuous rolling production mode is changed, although some experience can be used for reference, a theoretical guidance system corresponding to the production mode is not formed, and the phenomena of over-lubrication and under-lubrication frequently occur in the high-strength steel cold continuous rolling process, so that individual stands are caused to slip and hot slip, sometimes, cooling is insufficient, and the rolling stability and the finished product quality of the unit are seriously influenced. Therefore, when a first mode and a second mode are selected for a 5+1 type cold continuous rolling unit to produce high-strength steel, how to make a reasonable process lubrication system, better play the pressing capability of a small-roll-diameter rolling mill and ensure the stable rolling and finished product quality of the high-strength steel becomes a difficult point of technical attack on site of the unit.
Disclosure of Invention
The invention aims to provide a method for optimizing a process lubrication system of a 5+1 type cold continuous rolling unit in a five-stand rolling mode, which solves the problem that individual stands are slipped and thermally slipped due to over-lubrication and under-lubrication, improves the rolling stability and the finished product quality of the unit, ensures the most reasonable economic cost and creates economic benefits for enterprises. On the basis of a large amount of field test tracking and theoretical research, the invention fully combines the equipment and process characteristics of a 5+1 type cold continuous rolling unit, researches the relation among the thickness and the friction coefficient of lubricating oil film and the rolling stability on the basis of analyzing the action and the mechanism of emulsion, analyzes the influence of a process lubrication system on the rolling stability, and develops a process lubrication system optimization method under a five-stand rolling mode of the 5+1 type cold continuous rolling unit by aiming at realizing the comprehensive control of the rolling stability of the upper surface of strip steel, the rolling stability of the lower surface of strip steel, the lubrication difference of the upper surface and the lower surface of strip steel and the cooling effect of the emulsion, wherein the technical scheme adopted by the invention is as follows:
a method for optimizing a process lubrication system of a 5+1 type cold continuous rolling unit in a five-stand rolling mode is characterized in that the 5+1 type cold continuous rolling unit comprises 5 conventional rolling mills and a 4 th stand small-roll-diameter rolling mill, and rolling is carried out in a five-pass mode, namely, a 2 nd or 3 rd stand is stopped for rolling and is numbered as a 1 st, 2 nd, 3 th, 4 th and 5 th stand again; the process lubrication system optimization method comprises the following steps executed by a computer:
(a) the five racks selected are denoted by subscript i in sequence, i is 1,2,3,4, 5;
(b) collecting set parameters of a rolling schedule in the cold continuous rolling process of the ultrahigh-strength steel, wherein the set parameters comprise: thickness h of strip inlet of each framei-1Thickness h of strip outlet of each standiI speed v of strip inlet of machine frame0iI speed v of strip outlet of the ith machine frame1iRolling pressure P of each standi；
(c) Collecting technological lubrication system parameters: loss coefficient k of emulsion flow1Viscosity compression factor of lubricant θ, density of emulsion ρ, and specific heat capacity of emulsion cmCoefficient of influence k of longitudinal roughness of work roll surface and strip steel surfacergLongitudinal roughness Ra of surface of working roll of ith frameriSurface longitudinal roughness Ra of ith rack strip steelsiCoefficient of influence of concentration c1,c2Coefficient of regression c related to coefficient of heat transfer3Initial temperature t of the emulsionrcInitial concentration C of the emulsion0Comprehensive emulsion concentration influence coefficient kcMaximum and minimum emulsion concentrations Cmax、CminMinimum and maximum initial emulsion temperature
Figure BDA0003368975700000021
Minimum and maximum emulsion flow on ith machine frame
Figure BDA0003368975700000022
Minimum and maximum emulsion flow under ith frame
Figure BDA0003368975700000023
(d) The thickness of the slipping critical lubricating oil film on the upper surface and the lower surface of the strip steel of each frame is set to be xidhs,i、ξdhx,iThe thickness of the thermal sliding damage critical lubricating oil film on the upper surface and the lower surface of the strip steel of each machine frame is xirhss,i、ξrhsx,i(ii) a The thickness of the lubricating oil film in the upper rolling deformation area and the lower rolling deformation area of each machine frame is defined to be xibxs,i、ξbxx,iThe flow rate of emulsion on and under each machine frame is Ws,i、Wx,i(ii) a Defining a control objective function G of rolling stability of the upper surface and the lower surface of the strip steelwds(Xwds)、Gwdx(Xwdx) The regulating variable is Xwds＝{C,trc,Ws,i}、Xwdx＝{C,trc,Wx,i}; defining a control objective function G of the lubrication difference of the upper surface and the lower surface of the strip steelcy(Xcy) The regulating variable is Xlq＝{wi}; emulsion cooling effect control objective function Glq(Xlq) (ii) a Process lubrication system optimization control objective function G for rolling of ultrahigh-strength steel of 5+1 type cold continuous rolling unitrz(Xrz)；
(e) Initial value of optimized variable of given process lubrication system
Figure BDA0003368975700000024
Given search step Δ Xirz＝{ΔC,Δtrc,ΔWs,i,ΔWx,iAnd the search range is:
Figure BDA0003368975700000025
giving an initial value G of the objective functionrz0＝105；
(f1) Let k1＝0；
(f2) Let C be Cmin+k1ΔC；
(g1) Let k2＝0；
(g2) Order to
Figure BDA0003368975700000031
(h1) Let i equal to 1;
(h2) let k3i＝0；
(h3) Order to
Figure BDA0003368975700000032
(h4) Determine if inequality i < 5 is true? If yes, the step (h2) is carried out; if not, the step (i1) is carried out;
(i1) let i equal to 1;
(i2) let k4i＝0；
(i3) Order to
Figure BDA0003368975700000033
(i4) Determine if inequality i < 5 is true? If yes, the step (i2) is carried out; if not, turning to the step (j);
(j) calculating the dynamic viscosity eta by taking the concentration of the emulsion, the initial temperature and the flow of the upper emulsion and the lower emulsion of the ith frame as optimization variables, and further calculating the thickness of the lubricating oil film in the upper rolling deformation area and the lower rolling deformation area of the ith frame to be xibxs,i、ξbxx,i：
Figure BDA0003368975700000034
Figure BDA0003368975700000035
Wherein a is1,b1Respectively, a parameter of dynamic viscosity of the lubricating oil under atmospheric pressureiFor the ith rack entry angle, KsiIs the ithThe deformation resistance of the strip steel of the frame, A is the area of a deformation area, sigmai-1,iAverage post-tension stress of the ith frame;
(k) the average lubricating oil film thickness of the upper surface of the strip steel of the ith frame approaches to a target value ([ xi ])rhss,i+ξdhs,i) And/2, calculating a rolling stability control objective function of the upper surface and the lower surface of the strip steel of the ith frame according to an optimization objective:
Figure BDA0003368975700000036
Figure BDA0003368975700000041
wherein alpha isξControlling the coefficient for the integral stability of the unit (1-alpha)ξ) The maximum stability deviation control coefficient;
(l) Calculating difference control objective function G of upper and lower surfaces of strip steelcy(Xcy)：
Figure BDA0003368975700000042
In the formula betaξThe lubricating difference control coefficient of the upper surface and the lower surface of the integral strip steel of the unit is (1-beta)ξ) Controlling the coefficient for the maximum lubrication difference of the upper surface and the lower surface of the strip steel;
(m) calculating a cooling effect control objective function G for the emulsionlq(Xlq)：
Figure BDA0003368975700000043
In the formula, λwqFor the control coefficient of the integral cooling effect of the unit, (1-lambda)wq) Controlling the coefficient for the average cooling effect of the unit; on the premise of determining the rolling process, the influence of the concentration and the temperature of the emulsion on cooling is ignored, and the cooling effect coefficient eta of the emulsion islq,iIs a function of the emulsion flow, i.e.. etalq,i＝f(wi) Wherein i is 1,2,3,4,5,
Figure BDA0003368975700000044
(n) the ith rack has an optimized distribution function of Xirz＝{C,trc,Ws,i,Wx,iCalculating a process lubrication system optimization control total objective function G of the rolling of the ultrahigh-strength steel of the 5+1 type cold continuous rolling unitrz(Xrz)：
Grz(Xrz)＝λ1Gwds(Xwds)+λ2Gwdx(Xwdx)+λ3Gcy(Xcy)+λ4Glq(Xlq)；
In the formula, λ1Rolling stability weight coefficient of the upper surface of the strip steel; lambda [ alpha ]2Rolling stability weight coefficient of the lower surface of the strip steel; lambda [ alpha ]3Lubricating difference weight coefficients of the upper surface and the lower surface of the strip steel are obtained; lambda [ alpha ]4Is emulsion cooling effect weight coefficient;
(o) judgment of inequality Grz＜Grz0Is there any? If true, let Grz0＝GrzAnd recording the optimum parameter Xirz＝{C,trc,Ws,i,Wx,iStep (p 1); if not, directly switching to the step (p 1);
(p1) let i equal 5;
(p2) judgment of the inequality Wx,i＜Wx,i maxIf yes, let k4i＝k4i+1, go to step (i 3); if not, let k4iIf yes, the step is carried out (p 3);
(p3) determining whether inequality i > 1 is true, and if yes, making i equal to i-1, and proceeding to step (p 2); if not, the step (q1) is carried out;
(q1) let i equal 5;
(q2) judgment of inequality Ws,i＜Ws,i maxIf yes, let k3i＝k3i+1, go to step (h 3); if not, let k3iIf it is 0, go to step(q3)；
(q3) determining whether inequality i > 1 is true, and if so, making i equal to i-1, and proceeding to step (q 2); if not, turning to the step (r);
(r) determination of the inequality trc＜trc maxIf yes, let k2＝k2+1, go to step (g 2); if not, turning to the step(s);
(s) judging the inequality C < CmaxIf yes, let k1＝k1+1, go to step (f 2); if not, let k1If the value is 0, the step (t) is carried out;
(t) outputting the optimal parameter X corresponding to the minimum value of the total objective function of each rackirz＝{C,trc,Ws,i,Wx,i}。
The invention has the beneficial effects that: compared with the prior art, the method for optimizing the process lubrication system in the five-stand rolling mode of the 5+1 type cold continuous rolling unit has a remarkable application effect on site, and through the application of the technology, the process lubrication system is optimized and the economic benefit of the unit is improved under the condition that one pass is reduced in the high-strength steel rolling of the 5+1 type cold continuous rolling unit.
Drawings
FIG. 1 is a flow chart of the optimization method of the present invention.
Detailed Description
The present invention will be further described in detail with reference to the following embodiments, and as shown in fig. 1, a method for optimizing a process lubrication system in a five-stand rolling mode of a 5+1 type cold continuous rolling mill train, wherein the 5+1 type cold continuous rolling mill train includes 5 conventional rolling mills and a 4 th stand small-diameter rolling mill, the rolling is performed in a five-pass mode, a 3 rd stand is stopped for rolling, and the rolling is renumbered as a 1 st, 2 nd, 3 rd, 4 th, 5 th stand; the process lubrication regime optimization method comprises the following steps executed by a computer.
Example 1:
firstly, in step (a), the selected five racks are sequentially indicated by subscript i, i is 1,2,3,4, 5;
collecting rolling gauge in the cold continuous rolling process of the ultrahigh-strength steel in the step (b)The setting parameters of the program comprise: thickness h of strip inlet of each framei-1Thickness h of strip outlet of each machine frame, 2.732mm,2.277mm,1.951mm, 1.607mm and 1.518mmi(2.277 mm,1.951mm,1.607mm, 1.518mm,1.507 mm), the i-th frame strip steel inlet speed v0iH, the speed v of the strip steel outlet of the ith frame is 102.49m/min,122.97m/min,143.52m/min,174.24m/min and 184.45m/min }, and the speed v of the strip steel outlet of the ith frame is equal to the speed of the strip steel outlet of the ith frame1i＝{122.97m/min,143.52m/min,174.24m/min,184.45m/min,185.80m/min}；
Collecting the parameters of the process lubrication system and the loss coefficient k of the emulsion flow in the step (c)10.11, viscosity compression coefficient theta of the lubricant is 0.01MPa-1The density rho of the emulsion is 0.90kg/m3Specific heat capacity of emulsion cm470J/(kg. k), coefficient of influence k of longitudinal roughness of the surface of the working roll and the surface of the strip steelrg0.10, longitudinal roughness Ra of the surface of the working roll of the ith frameri0.50 μm, 0.48 μm, 0.40 μm, 0.33 μm, 0.25 μm, and the longitudinal roughness Ra of the surface of the ith strip steelsi0.58 μm, 0.51 μm, 0.42 μm, 0.38 μm, 0.28 μm, and a concentration influence coefficient c1＝2.91，c2-9.69, regression coefficient c related to heat transfer coefficient3About 0.648, initial temperature t of emulsionrcInitial concentration C of emulsion at 51 ℃05%, the influence coefficient k of the concentration of the integrated emulsionc1.836, maximum concentration, minimum concentration C of emulsionmax、Cmin15%, 2% }, minimum and maximum initial emulsion temperature values
Figure BDA0003368975700000061
Minimum and maximum emulsion flow on ith machine frame
Figure BDA0003368975700000062
Minimum and maximum emulsion flow under ith frame
Figure BDA0003368975700000063
In the step (d), the thickness of the slipping critical lubricating oil film on the upper surface and the lower surface of the strip steel of each machine frame is set to be xidhs,i、ξdhx,iThe thickness of the thermal sliding damage critical lubricating oil film on the upper surface and the lower surface of the strip steel of each machine frame is xirhss,i、ξrhsx,i(ii) a The thickness of the lubricating oil film in the upper rolling deformation area and the lower rolling deformation area of each machine frame is defined to be xibxs,i、ξbxx,iThe flow rate of emulsion on and under each machine frame is Ws,i、Wx,i. Defining a control objective function G of rolling stability of the upper surface and the lower surface of the strip steelwds(Xwds)、Gwdx(Xwdx) The regulating variable is Xwds＝{C,trc,Ws,i}、Xwdx＝{C,trc,Wx,i}; defining a control objective function G of the lubrication difference of the upper surface and the lower surface of the strip steelcy(Xcy) The regulating variable is Xlq＝{wi}; emulsion cooling effect control objective function Glq(Xlq) (ii) a Process lubrication system optimization control objective function G for rolling of ultrahigh-strength steel of 5+1 type cold continuous rolling unitrz(Xrz)；
Giving in step (e) an initial value for an optimized variable for the process lubrication regime
Figure BDA0003368975700000064
Given search step Δ Xirz＝{ΔC,Δtrc,ΔWs,i,ΔWx,iAnd the search range is:
Figure BDA0003368975700000065
giving an initial value G of the objective functionrz0＝105；
Then in step (f1), let k1＝0；
Then, in step (f2), let C ═ Cmin+k1ΔC；
Then in step (g1), let k2＝0；
Then in step (g2), let
Figure BDA0003368975700000071
Subsequently in step (h1), let i be 1;
then in step (h2), let k3i＝0；
Then in step (h3), let
Figure BDA0003368975700000072
Subsequently in step (h4), it is determined whether inequality i < 5 is true? If yes, the step (h2) is carried out; if not, the step (i1) is carried out;
subsequently in step (i1), let i be 1;
then in step (i2), let k4i＝0；
Then in step (i3), let
Figure BDA0003368975700000073
Subsequently in step (i4), it is determined whether the inequality i < 5 is true? If yes, the step (i2) is carried out; if not, turning to the step (j);
then in step (j), the concentration of the emulsion, the initial temperature and the flow of the upper emulsion and the lower emulsion of the ith frame are taken as optimization variables, the dynamic viscosity eta is calculated, and the thickness of the lubricating oil film in the upper rolling deformation area and the lower rolling deformation area of the ith frame is calculated to be xibxs,i、ξbxx,i：
Figure BDA0003368975700000074
Figure BDA0003368975700000075
Wherein a is1＝1.2,b11.8 is the parameter of dynamic viscosity of lubricating oil under atmospheric pressure, ai(0.011 rad,0.012rad,0.011 rad), 0.014rad,0.011 rad) is the ith gantry bite angle, KsiThe steel strip deformation resistance of the ith frame is {324MPa,360MPa,380MPa,420MPa,460MPa }, and A is 300m2Is the area of the deformation zone, σi-1,iThe average post-tensile stress of the ith frame is {100MPa,95MPa,101MPa,130MPa and 100MPa };
then in step(k) In the middle, the average lubricating oil film thickness of the upper surface of the strip steel of the ith machine frame approaches to a target value ([ xi ]rhss,i+ξdhs,i) And/2, calculating a rolling stability control objective function of the upper surface and the lower surface of the strip steel of the ith frame according to an optimization objective:
Figure BDA0003368975700000081
Figure BDA0003368975700000082
integral stability control coefficient alpha of unitξMaximum stability deviation control coefficient (1- α) of 0.4ξ)＝0.6；
Calculating difference control objective functions of the upper surface and the lower surface of the strip steel in the step (l):
Figure BDA0003368975700000083
lubricating difference control coefficient beta of upper and lower surfaces of integral strip steel of unitξ0.5, maximum differential lubrication coefficient (1-beta) between the upper and lower surfaces of the strip steelξ)＝0.5；
Calculating an emulsion cooling effect control objective function in step (m)
Figure BDA0003368975700000084
Control coefficient lambda of integral cooling effect of unitwq0.4, unit average cooling effect control coefficient (1-lambda)wq) The ratio of the difference between the heat generated by the heat source and the heat taken away by the emulsion in the ith frame rolling process to the heat generated by the heat source is 0.6, which is the cooling effect coefficient eta of the emulsionlq,i＝{0.6，0.5，0.6，0.4，0.6}；
Taking λ in step (n)1＝0.3；λ2＝0.3；λ3＝0.1；λ40.3; the ith rack optimization distribution function is Xirz＝{C,trc,Ws,i,Wx,iCalculating a process lubrication system optimization control total objective function G of the rolling of the ultrahigh-strength steel of the 5+1 type cold continuous rolling unitrz(Xrz)：
Grz(X1rz)＝λ1Gwds(Xwds)+λ2Gwdx(Xwdx)+λ3Gcy(Xcy)+λ4Glq(Xlq)＝0.140；
In step (o), the inequality G is judgedrz＜Grz0Is established, let Grz0＝Grz0.140 and record the optimum parameter Xirz＝{C,trc,Ws,i,Wx,iStep (p 1);
in step (p1), let i equal to 5;
in step (p2), the inequality Wx,i＜Wx,i maxIf true, let k4i＝k4i+1, go to step (i 3);
if the inequality i > 1 is established in step (p3), the process proceeds to step (p2) with i being equal to i-1;
in step (q1), let i equal to 5;
in step (q2), the inequality Ws,i＜Ws,i maxIf true, let k3i＝k3i+1, go to step (h 3);
if the inequality i > 1 is satisfied in step (q3), the process proceeds to step (q2) with i being equal to i-1;
in step (r), the inequality trc＜trc maxIf true, let k2＝k2+1, go to step (g 2);
in step(s), the inequality C < CmaxIf true, let k1＝k1+1, go to step (f 2);
outputting the optimal parameter X corresponding to the minimum value of the total objective function of each rack in the step (t)irz＝{C,trc,Ws,i,Wx,i}：
X1rz＝{C1,t1rc,Ws,1,Wx,1}＝{5.7％，56.5℃，1067L/min，1135L/min}；
X2rz＝{C2,t2rc,Ws,2,Wx,2}＝{5.7％，56.5℃，1217L/min，1276L/min}；
X3rz＝{C3,t3rc,Ws,3,Wx,3}＝{5.7％，56.5℃，1156L/min，1278L/min}；
X4rz＝{C4,t4rc,Ws,4,Wx,4}＝{5.7％，56.5℃，1205L/min，1152L/min}；
X5rz＝{C5,t5rc,Ws,5,Wx,5}＝{5.7％，56.5℃，1178L/min，1282L/min}。
Example 2:
firstly, in step (a), the selected five racks are sequentially indicated by subscript i, i is 1,2,3,4, 5;
collecting the set parameters of the rolling schedule in the cold continuous rolling process of the ultrahigh-strength steel in the step (b), wherein the set parameters comprise: thickness h of strip inlet of each framei-1Strip outlet thickness h of each stand {2.772mm,2.249mm,1.915mm, 1.567mm,1.478mm }, respectivelyi(2.249 mm,1.915mm,1.567mm,1.478mm and 1.467 mm), the inlet speed v of the steel strip of the ith frame0i101.01m/min,124.50m/min,146.21m/min,178.69m/min and 189.45m/min, and the outlet speed v of the steel strip of the ith rack1i＝{124.50m/min,146.21m/min,178.69m/min,189.45m/min,190.87m/min}；
Collecting the parameters of the process lubrication system and the loss coefficient k of the emulsion flow in the step (c)10.10, viscosity compression coefficient theta of the lubricant is 0.01MPa-1The density rho of the emulsion is 0.90kg/m3Specific heat capacity of emulsion cm470J/(kg. k), coefficient of influence k of longitudinal roughness of the surface of the working roll and the surface of the strip steelrg0.10, longitudinal roughness Ra of the surface of the working roll of the ith frameri0.52 μm, 0.49 μm, 0.43 μm, 0.36 μm, 0.27 μm, and longitudinal roughness Ra of the surface of the ith strip steelsi0.59 μm, 0.53 μm, 0.46 μm, 0.39 μm, 0.34 μm, and a concentration influence coefficient c1＝2.90，c2-9.72 regression coefficient c related to heat transfer coefficient3About 0.648, initial temperature t of emulsionrcInitial concentration C of emulsion at 51 ℃05%, the influence coefficient k of the concentration of the integrated emulsionc1.836, maximum concentration, minimum concentration C of emulsionmax、Cmin15%, 2% }, minimum and maximum initial emulsion temperature values
Figure BDA0003368975700000101
Minimum and maximum emulsion flow on ith machine frame
Figure BDA0003368975700000102
Minimum and maximum emulsion flow under ith frame
Figure BDA0003368975700000103
In the step (d), the thickness of the slipping critical lubricating oil film on the upper surface and the lower surface of the strip steel of each machine frame is set to be xidhs,i、ξdhx,iThe thickness of the thermal sliding damage critical lubricating oil film on the upper surface and the lower surface of the strip steel of each machine frame is xirhss,i、ξrhsx,i(ii) a The thickness of the lubricating oil film in the upper rolling deformation area and the lower rolling deformation area of each machine frame is defined to be xibxs,i、ξbxx,iThe flow rate of emulsion on and under each machine frame is Ws,i、Wx,i. Defining a control objective function G of rolling stability of the upper surface and the lower surface of the strip steelwds(Xwds)、Gwdx(Xwdx) The regulating variable is Xwds＝{C,trc,Ws,i}、Xwdx＝{C,trc,Wx,i}; defining a control objective function G of the lubrication difference of the upper surface and the lower surface of the strip steelcy(Xcy) The regulating variable is Xlq＝{wi}; emulsion cooling effect control objective function Glq(Xlq) (ii) a Process lubrication system optimization control objective function G for rolling high-strength steel of 5+1 type cold continuous rolling unitrz(Xrz)；
Giving in step (e) an initial value for an optimized variable for the process lubrication regime
Figure BDA0003368975700000104
Given search step Δ Xirz＝{ΔC,Δtrc,ΔWs,i,ΔWx,iAnd the search range is:
Figure BDA0003368975700000105
giving an initial value G of the objective functionrz0＝105；
Then in step (f1), let k1＝0；
Then, in step (f2), let C ═ Cmin+k1ΔC；
Then in step (g1), let k2＝0；
Then in step (g2), let
Figure BDA0003368975700000106
Subsequently in step (h1), let i be 1;
then in step (h2), let k3i＝0；
Then in step (h3), let
Figure BDA0003368975700000107
Subsequently in step (h4), it is determined whether inequality i < 5 is true? If yes, the step (h2) is carried out; if not, the step (i1) is carried out;
subsequently in step (i1), let i be 1;
then in step (i2), let k4i＝0；
Then in step (i3), let
Figure BDA0003368975700000111
Subsequently in step (i4), it is determined whether the inequality i < 5 is true? If yes, the step (i2) is carried out; if not, turning to the step (j);
then in step (j), the dynamic viscosity is calculated by taking the concentration of the emulsion, the initial temperature and the flow of the upper emulsion and the lower emulsion of the ith frame as optimization variablesEta, and further calculating the thickness of the lubricating oil film in the upper and lower rolling deformation regions of the ith stand to be xibxs,i、ξbxx,i：
Figure BDA0003368975700000112
Figure BDA0003368975700000113
Wherein a is1＝1.2,b11.8 is the parameter of dynamic viscosity of lubricating oil under atmospheric pressure, ai(0.012 rad,0.011rad, 0.013rad,0.012rad,0.011 rad) is the ith gantry bite angle, KsiThe steel strip deformation resistance of the ith frame is {315MPa,345MPa,370MPa,410MPa,445MPa }, and A is 300m2Is the area of the deformation zone, σi-1,iThe average post-tensile stress of the ith frame is {105MPa,95MPa,100MPa,120MPa and 100MPa };
and (k) calculating the rolling stability control objective function of the upper surface and the lower surface of the steel strip of the ith stand by taking the average lubricating oil film thickness on the upper surface of the steel strip of the ith stand close to a target value (xi rhss, i + xi dhs, i)/2 as an optimization objective:
Figure BDA0003368975700000114
Figure BDA0003368975700000115
integral stability control coefficient alpha of unitξ＝0.4, maximum stability deviation control coefficient (1-. alpha.)ξ)＝0.6；
Calculating difference control objective functions of the upper surface and the lower surface of the strip steel in the step (l):
Figure BDA0003368975700000121
lubricating difference control coefficient beta of upper and lower surfaces of integral strip steel of unitξ0.5, maximum differential lubrication coefficient (1-beta) between the upper and lower surfaces of the strip steelξ)＝0.5；
Calculating an emulsion cooling effect control objective function in step (m)
Figure BDA0003368975700000122
Control coefficient lambda of integral cooling effect of unitwq0.4, unit average cooling effect control coefficient (1-lambda)wq) The ratio of the difference between the heat generated by the heat source and the heat taken away by the emulsion in the ith frame rolling process to the heat generated by the heat source is 0.6, which is the cooling effect coefficient eta of the emulsionlq,i＝{0.6，0.5，0.6，0.4，0.6}；
Taking λ in step (n)1＝0.3；λ2＝0.3；λ3＝0.1；λ40.3; the ith rack optimization distribution function is Xirz＝{C,trc,Ws,i,Wx,iCalculating a process lubrication system optimization control total objective function G of the rolling of the ultrahigh-strength steel of the 5+1 type cold continuous rolling unitrz(Xrz)：
Grz(X1rz)＝λ1Gwds(Xwds)+λ2Gwdx(Xwdx)+λ3Gcy(Xcy)+λ4Glq(Xlq)＝0.149；
In step (o), the inequality G is judgedrz＜Grz0Is established, let Grz0＝Grz0.149 and recording the optimum parameter Xirz＝{C,trc,Ws,i,Wx,iStep (p 1);
in step (p1), let i equal to 5;
in step (p2), the inequality Wx,i＜Wx,i maxIf true, let k4i＝k4i+1, go to step (i 3);
if the inequality i > 1 is established in step (p3), the process proceeds to step (p2) with i being equal to i-1;
in step (q1), let i equal to 5;
in step (q2), the inequality Ws,i＜Ws,i maxIf true, let k3i＝k3i+1, go to step (h 3);
if the inequality i > 1 is satisfied in step (q3), the process proceeds to step (q2) with i being equal to i-1;
in step (r), the inequality trc＜trc maxIf true, let k2＝k2+1, go to step (g 2);
in step(s), the inequality C < CmaxIf true, let k1＝k1+1, go to step (f 2);
outputting the optimal parameter X corresponding to the minimum value of the total objective function of each rack in the step (t)irz＝{C,trc,Ws,i,Wx,i}：
X1rz＝{C1,t1rc,Ws,1,Wx,1}＝{5.7％，56.5℃，1058L/min，1142L/min}；
X2rz＝{C2,t2rc,Ws,2,Wx,2}＝{5.7％，56.5℃，1221L/min，1267L/min}；
X3rz＝{C3,t3rc,Ws,3,Wx,3}＝{5.7％，56.5℃，1154L/min，1273L/min}；
X4rz＝{C4,t4rc,Ws,4,Wx,4}＝{5.7％，56.5℃，1209L/min，1154L/min}；
X5rz＝{C5,t5rc,Ws,5,Wx,5}＝{5.7％，56.5℃，1176L/min，1283L/min}。
The above description is only for the purpose of illustrating the technical solutions of the present invention, and those skilled in the art can make simple modifications or equivalent substitutions on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention.

Claims (1)

1. A method for optimizing a process lubrication system of a 5+1 type cold continuous rolling unit in a five-stand rolling mode is characterized by comprising the following steps: the 5+1 type cold continuous rolling unit comprises 5 conventional rolling mills and a 4 th rack small-roll-diameter rolling mill, and is rolled by adopting a five-pass mode, namely, a 2 nd or 3 rd rack is stopped for rolling and is numbered as a 1 st, 2 nd, 3 th, 4 th and 5 th rack again; the process lubrication system optimization method comprises the following steps executed by a computer:
(a) the five selected racks are sequentially indicated by subscript i, i is 1,2,3,4, 5;
(b) collecting set parameters of a rolling schedule in the cold continuous rolling process of the ultrahigh-strength steel, wherein the set parameters comprise: thickness h of strip inlet of each framei-1Thickness h of strip outlet of each standiI speed v of strip inlet of machine frame0iI speed v of strip outlet of the ith machine frame1iRolling pressure P of each standi；
(c) Collecting technological lubrication system parameters: loss coefficient k of emulsion flow1Viscosity compression factor of lubricant θ, density of emulsion ρ, and specific heat capacity of emulsion cmCoefficient of influence k of longitudinal roughness of work roll surface and strip steel surfacergLongitudinal roughness Ra of surface of working roll of ith frameriSurface longitudinal roughness Ra of ith rack strip steelsiCoefficient of influence of concentration c1,c2Coefficient of regression c related to coefficient of heat transfer3Initial temperature t of the emulsionrcInitial concentration C of the emulsion0Comprehensive emulsion concentration influence coefficient kcMaximum and minimum emulsion concentrations Cmax、CminMinimum and maximum initial emulsion temperature
Figure FDA0003368975690000011
Minimum and maximum emulsion flow on ith machine frame
Figure FDA0003368975690000012
Minimum and maximum emulsion flow under ith frame
Figure FDA0003368975690000013
(d) The thickness of the slipping critical lubricating oil film on the upper surface and the lower surface of the strip steel of each frame is set to be xidhs,i、ξdhx,iThe thickness of the thermal sliding damage critical lubricating oil film on the upper surface and the lower surface of the strip steel of each machine frame is xirhss,i、ξrhsx,i(ii) a The thickness of the lubricating oil film in the upper rolling deformation area and the lower rolling deformation area of each machine frame is defined to be xibxs,i、ξbxx,iThe flow rate of emulsion on and under each machine frame is Ws,i、Wx,i(ii) a Defining a control objective function G of rolling stability of the upper surface and the lower surface of the strip steelwds(Xwds)、Gwdx(Xwdx) The regulating variable is Xwds＝{C,trc,Ws,i}、Xwdx＝{C,trc,Wx,i}; defining a control objective function G of the lubrication difference of the upper surface and the lower surface of the strip steelcy(Xcy) The regulating variable is Xlq＝{wi}; emulsion cooling effect control objective function Glq(Xlq) (ii) a Process lubrication system optimization control objective function G for rolling of ultrahigh-strength steel of 5+1 type cold continuous rolling unitrz(Xrz)；
(e) Initial value of optimized variable of given process lubrication system
Figure FDA0003368975690000014
Given search step Δ Xirz＝{ΔC,Δtrc,ΔWs,i,ΔWx,iAnd the search range is:
Figure FDA0003368975690000015
giving an initial value G of the objective functionrz0＝105；
(f1) Let k1＝0；
(f2) Let C be Cmin+k1ΔC；
(g1) Let k2＝0；
(g2) Order to
Figure FDA0003368975690000021
(h1) Let i equal to 1;
(h2) let k3i＝0；
(h3) Order to
Figure FDA0003368975690000022
(h4) Determine if inequality i < 5 is true? If yes, the step (h2) is carried out; if not, the step (i1) is carried out;
(i1) let i equal to 1;
(i2) let k4i＝0；
(i3) Order to
Figure FDA0003368975690000023
(i4) Determine if inequality i < 5 is true? If yes, the step (i2) is carried out; if not, turning to the step (j);
(j) calculating the dynamic viscosity eta by taking the concentration of the emulsion, the initial temperature and the flow of the upper emulsion and the lower emulsion of the ith frame as optimization variables, and further calculating the thickness of the lubricating oil film in the upper rolling deformation area and the lower rolling deformation area of the ith frame to be xibxs,i、ξbxx,i：
Figure FDA0003368975690000024
Figure FDA0003368975690000025
Wherein a is1,b1Respectively, a parameter of dynamic viscosity of the lubricating oil under atmospheric pressureiFor the ith rack entry angle, KsiThe deformation resistance of the ith frame strip steel, A is the area of a deformation zone, sigmai-1,iAverage post-tension stress of the ith frame;
(k) the average lubricating oil film thickness of the upper surface of the strip steel of the ith frame approaches to a target value ([ xi ])rhss,i+ξdhs,i) And/2, calculating a rolling stability control objective function of the upper surface and the lower surface of the strip steel of the ith frame according to an optimization objective:
Figure FDA0003368975690000026
Figure FDA0003368975690000031
wherein alpha isξControlling the coefficient for the integral stability of the unit (1-alpha)ξ) The maximum stability deviation control coefficient;
(l) Calculating difference control objective function G of upper and lower surfaces of strip steelcy(Xcy)：
Figure FDA0003368975690000032
In the formula betaξThe lubricating difference control coefficient of the upper surface and the lower surface of the integral strip steel of the unit is (1-beta)ξ) Controlling the coefficient for the maximum lubrication difference of the upper surface and the lower surface of the strip steel;
(m) calculating a cooling effect control objective function G for the emulsionlq(Xlq)：
Figure FDA0003368975690000033
In the formula, λwqFor the control coefficient of the integral cooling effect of the unit, (1-lambda)wq) Controlling the coefficient for the average cooling effect of the unit; on the premise of determining the rolling process, the influence of the concentration and the temperature of the emulsion on cooling is ignored, and the cooling effect coefficient eta of the emulsion islq,iIs a function of the emulsion flow, i.e.. etalq,i＝f(wi) Wherein i is 1,2,3,4,5,
Figure FDA0003368975690000034
(n) the ith rack has an optimized distribution function of Xirz＝{C,trc,Ws,i,Wx,i}，Calculating a process lubrication system optimization control total objective function G for rolling of the ultrahigh-strength steel of the 5+1 type cold continuous rolling unitrz(Xrz)：
Grz(Xrz)＝λ1Gwds(Xwds)+λ2Gwdx(Xwdx)+λ3Gcy(Xcy)+λ4Glq(Xlq)；
In the formula, λ1Rolling stability weight coefficient of the upper surface of the strip steel; lambda [ alpha ]2Rolling stability weight coefficient of the lower surface of the strip steel; lambda [ alpha ]3Lubricating difference weight coefficients of the upper surface and the lower surface of the strip steel are obtained; lambda [ alpha ]4Is emulsion cooling effect weight coefficient;
(o) judgment of inequality Grz＜Grz0Is there any? If true, let Grz0＝GrzAnd recording the optimum parameter Xirz＝{C,trc,Ws,i,Wx,iStep (p 1); if not, directly switching to the step (p 1);
(p1) let i equal 5;
(p2) judgment of the inequality Wx,i＜Wx,i maxIf yes, let k4i＝k4i+1, go to step (i 3); if not, let k4iIf yes, the step is carried out (p 3);
(p3) determining whether inequality i > 1 is true, and if yes, making i equal to i-1, and proceeding to step (p 2); if not, the step (q1) is carried out;
(q1) let i equal 5;
(q2) judgment inequality
Figure FDA0003368975690000041
If yes, let k3i＝k3i+1, go to step (h 3); if not, let k3iIf yes, the step (q3) is carried out;
(q3) determining whether inequality i > 1 is true, and if so, making i equal to i-1, and proceeding to step (q 2); if not, turning to the step (r);
(r) judgment inequality
Figure FDA0003368975690000042
If yes, let k2＝k2+1, go to step (g 2); if not, turning to the step(s);
(s) judging the inequality C < CmaxIf yes, let k1＝k1+1, go to step (f 2); if not, let k1If the value is 0, the step (t) is carried out;
(t) outputting the optimal parameter X corresponding to the minimum value of the total objective function of each rackirz＝{C,trc,Ws,i,Wx,i}。
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SU1565554A1 (en) * 1988-08-11 1990-05-23 Институт Металлургии Им.А.А.Байкова Method of lubricating strip in cold rolling
CN103611732A (en) * 2013-11-12 2014-03-05 燕山大学 Optimization method of technological lubrication system taking galling prevention as objective for tandem cold mill
CN110842031A (en) * 2018-07-24 2020-02-28 宝山钢铁股份有限公司 Emulsion flow optimization method for inhibiting vibration of cold continuous rolling unit
CN113319137A (en) * 2021-06-03 2021-08-31 宝钢湛江钢铁有限公司 Comprehensive optimization method for ultra-high strength steel process lubrication system of six-stand cold continuous rolling unit
CN113505452A (en) * 2021-07-08 2021-10-15 宝钢湛江钢铁有限公司 Comprehensive optimization setting method for rolling schedule of ultrahigh-strength steel of six-stand cold continuous rolling unit

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
SU1565554A1 (en) * 1988-08-11 1990-05-23 Институт Металлургии Им.А.А.Байкова Method of lubricating strip in cold rolling
CN103611732A (en) * 2013-11-12 2014-03-05 燕山大学 Optimization method of technological lubrication system taking galling prevention as objective for tandem cold mill
CN110842031A (en) * 2018-07-24 2020-02-28 宝山钢铁股份有限公司 Emulsion flow optimization method for inhibiting vibration of cold continuous rolling unit
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