CN1840254A - Optimized presetting method for steel strip-flattening technological parameter - Google Patents
Optimized presetting method for steel strip-flattening technological parameter Download PDFInfo
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- CN1840254A CN1840254A CN 200510024683 CN200510024683A CN1840254A CN 1840254 A CN1840254 A CN 1840254A CN 200510024683 CN200510024683 CN 200510024683 CN 200510024683 A CN200510024683 A CN 200510024683A CN 1840254 A CN1840254 A CN 1840254A
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Abstract
The invention discloses an optimization presetting method with belt steel flattening processing parameter, which consists of optimization presetting object function of flattening processing parameter, constraint condition (range of value) of flattening processing parameter optimization, wherein rolling belt steel with the processing parameter which sets by the invention can improve belt steel mechanical property, which also improves the property of cold rolling flattening strip and slab-shaped quality.
Description
Technical field
The present invention relates to a kind of processing method of steel, particularly a kind of belt steel flating parameters Optimization presetting method.
Background technology
Smooth be to through the band steel after the recrystallization annealing with less deflection (percentage elongation is generally 0.2%～3%) be rolled, eliminating yield point elongation, control panel shape, and the operation of rolling of the surface topography that obtains requiring.No matter be traditional or modern cold-rolling process process, smooth one of the main production link that all is absolutely necessary.Because smooth is last procedure of decision finished strip plate shape, mechanical performance, so, optimize flattening technological parameter and set, improve the plate shape control ability of planisher, have very important significance for the quality that improves cold-strip steel.
The main technologic parameters that influences smooth product quality has: percentage elongation ε, bending roller force S, draught pressure P, smooth speed V, inlet tension force T
0With outlet tension force T
1Deng.It is one of key factor of the smooth product quality of decision that the skin pass rolling technological parameter presets.The process of presetting that existing flattening technological parameter is general is: smooth percentage elongation, mill speed, inlet tension force and the outlet tension force of at first selecting to determine the band steel according to steel grade specification, capacity of equipment and empirical data in the past etc., be initial conditions with them again, inquire about the empirical data table or obtain draught pressure and bending roller force setting value, as the control desired value of planisher basic automation systems by calculated with mathematical model.The experience that above process mainly depends on the operating procedure personnel presets, and randomness is bigger, causes problems such as smooth belt plate shape is defective, production process instability easily.
Summary of the invention
Purpose of the present invention is to provide a kind of belt steel flating parameters Optimization presetting method, with the machinery and the strip shape quality of band in the further raising cold-strip steel smoothing and rolling process, guarantees the stability of smooth production process.
To achieve these goals, the present invention has adopted following technical scheme, and a kind of belt steel flating parameters Optimization presetting method comprises following key element:
The object function that A, flattening technological parameter optimization preset
With smooth percentage elongation ε, smooth speed V, inlet tension force T
0With outlet tension force T
1Flattening technological parameter Deng the best bending roller force of decision is the optimization variable, and the optimization aim function of above-mentioned flattening technological parameter is set at:
min?G(X)＝α‖S
a-S
0‖/‖S
max-S
min‖+βF(S
a)/σ
s
In the formula: X=[ε, V, T
0, T
1]
S
0-ground state bending roller force, S
0=(S
Max+ S
Min)/2, S
Max, S
MinBe respectively maximum, minimum bending roller force that planisher hydraulic bending roll system can realize,
σ
sThe yield limit of-belt steel material,
The weight coefficient of the difference item of the mould item of α, β-be respectively best bending roller force and ground state bending roller force deviation, outlet tensile stress maximum and minimum of a value, α 〉=0, β 〉=0;
The span that B, flattening technological parameter are optimized
B1, smooth percentage elongation ε usually determine that according to the needs that this steel grade specification is improved mechanical performance and plate shape the span of smooth percentage elongation is set at the [ε into ε ∈
0-Δ ε, ε
0+ Δ ε];
B2, smooth speed V, V
Min≤ V≤V
Max, in the formula: V
Min-by the unit speed lower limit of steel grade specification requirement, V
Max-by the unit speed higher limit of steel grade specification requirement;
B3, inlet tension force T
0, will export tension force T
0Span be set at max (T
0imin, 0.1 σ
sBH)≤T
0≤ min (T
Max, 0.4 σ
sBH), T in the formula
0iminThe minimum inlet tension force that allows during planisher stable operation during-smooth this specification, T
MaxThe maximum tension that-planisher tension system can provide, the b-strip width,
H-band steel inlet thickness;
B4, outlet tension force T
1, will export tension force T
1Span be set at max (T
1imin, 0.1 σ
sBh)≤T
1≤ min (T
Max, 0.4 σ
sBh), T in the formula
1iminThe minimum outlet tension force that allows during planisher stable operation during-smooth this specification, T
MaxThe maximum tension that-planisher tension system can provide, the b-strip width,
H-band steel exports thickness;
B5, establish T
0≤ T
1
B6, draught pressure P are set at max (bp with the span of draught pressure P
l, P
Min)≤P≤P
Max, b-strip width in the formula, P
l-polishing belt steel surface or the needed least unit width of formation roughness draught pressure, P
MinThe normal minimum draught pressure that allows when rolling of-planisher, P
MaxThe maximum draught pressure that-planisher press down system can provide.
Belt steel flating parameters Optimization presetting method of the present invention is by taking all factors into consideration each related factors such as supplied materials situation, equipment state, under the prerequisite that guarantees mechanical performance, with smooth percentage elongation ε, mill speed V, inlet tension force T
0With outlet tension force T
1Deng for optimizing variable, be target with smooth exit plate shape, optimize and determine flattening technological parameter, thereby have the following advantages:
(1) smooth outlet belt plate shape is good;
(2) can effectively eliminate yield point elongation, improve band steel mechanical performance;
(3) planisher is operated on the rational operating point, makes the smoothing and rolling process stable smooth operation, has improved the performance and the strip shape quality of cold rolling levelling band.
(4) need be optimized calculating respectively to the steel grade specification band steel that smooth parameter is optimized for each, it is very fast that it calculates convergence rate, both can be used for off-line simulation and calculate, and also can be used for the online calculating that presets.
Description of drawings
Fig. 1 is that the flattening technological parameter of belt steel flating parameters Optimization presetting method of the present invention is optimized calculation flow chart.
Fig. 2 is a kind of total draught pressure P calculation flow chart
Fig. 3 is a kind of best bending roller force S
aWith toe-out stress distribution difference F (S
a) calculation flow chart.
The symbol implication is as follows in the flow chart:
h
0-band steel inlet thickness
The b-strip width
ε-smooth percentage elongation
H-band exit thickness, h=h
0(1-ε)
The smooth speed of v-
σ
s-strip plastic deformation drag
σ
1-on average export tensile stress, σ
1=T
1/ (bh)
σ
0-the tensile stress that on average enters the mouth, σ
0=T
0/ (bh
0)
E-band steel bomb modulus
E
0-roll elastic modelling quantity
V-band steel Poisson's ratio
v
0-roll Poisson's ratio
R-working roll radius
μ-deformed area coefficient of friction
L-plastic deformation section length
l
0-plastic deformation section length iteration initial value,
Δ x
0-elasticity of export asynchronous region length
Δ x
1-inlet strain section length
p
1-elasticity of export deformed area and plastic zone intersection unit pressure
p
0-inlet elastic deformation area and plastic zone intersection unit pressure
p
m-plastically deforming area average unit pressure
The total draught pressure of P-
Δ D
Wi, Δ D
Bi-working roll and backing roll convexity distribution value
L
i, H
i-supplied materials unit length, thickness cross direction profiles value
Segment number in the i-parted pattern
Δ, Δ
0-iteration convergence control parameter, value is less than 10 generally speaking
-3
The specific embodiment
Belt steel flating parameters Optimization presetting method of the present invention further describes as follows:
A, flattening technological parameter optimization aim function are determined
According to rolling therory as can be known, under certain prerequisite such as incoming band steel, smooth roller roll shape and roll surface pattern, smooth percentage elongation ε, smooth speed V, inlet tension force (backward pull) T
0With outlet tension force (forward pull) T
1Deng having determined draught pressure P, and as ε, V, T
0, T
1With all timings of P, certainly exist a best bending roller force S corresponding to the most uniform bending roller force of band steel exports tensile stress cross direction profiles value), make that the exit plate shape of band steel is best.Wherein, the relation of V and draught pressure P is: smooth speed influences the coefficient of friction of smooth deformed area and the size of resistance of deformation, and then total draught pressure and draught pressure exerted an influence along the wide distribution of plate, usually smooth speed is big more, coefficient of friction is more little, resistance of deformation is big more, otherwise coefficient of friction is big more, resistance of deformation is more little, and draught pressure is the function of coefficient of friction and resistance of deformation, so also be smooth function of speed.Therefore, for a kind of band steel of definite specification, certainly existing ε, V, the T of one group of optimum
0And T
1, the exit plate shape of corresponding band steel is good, and best bending roller force is closer apart from ground state bending roller force (the maximum bending roller force that planisher hydraulic bending roll system can provide and the mean value of minimum bending roller force) simultaneously.Bending roller force setting value is near the ground state bending roller force time, and it is the strongest to adjust the ability of oralia shape by the roller system during On-line Control.
Have only the common planisher of hydraulic bending roll for plate shape control device, when other parameter one regularly, the preceding tensile stress cross direction profiles value σ of band steel
1jBe the function of bending roller force S, promptly
F(S)＝max(σ
1j)-min(σ
1j)
In the formula: the S-bending roller force
σ
1jThe outlet tensile stress value that j is ordered on-strip width the direction
In smooth production practices, the tensile stress cross direction profiles was even before the target of plate shape control made the band steel exactly, i.e. the difference minimum of each point outlet tensile stress on the strip width direction.For the band steel of some specifications, certainly exist a best bending roller force S
a, make the F minimum, that is:
F(S
a)＝min(max(σ
1j)-min(σ
1j)) (1)
As mentioned above, in conditions such as incoming band steel, smooth roller roll shape and roll surface pattern one regularly, best bending roller force is ε, V, T
0, T
1Function, that is:
Sa＝f(ε、V、T
0、T
1) (2)
Good in order to reach exit plate shape, simultaneously best bending roller force is set at the optimization aim function of flattening technological parameter near the ground state bending roller force:
min?G(X)＝α‖S
a-S
0‖/‖S
max-S
min‖+βF(S
a)/σ
s (3)
In the formula: X=[ε, V, T
0, T
1]
S
0-ground state bending roller force, S
0=(S
Max+ S
Min)/2, S
Max, S
MinBe respectively maximum, minimum bending roller force that planisher hydraulic bending roll system can realize.
σ
sThe yield limit of-belt steel material.
α, β-be respectively the mould item of best bending roller force and ground state bending roller force deviation, the weight coefficient of exit plate shape item, α 〉=0, β 〉=0.When the roller ability (adjustable extent of bending roller force) of planisher is bigger, can make first shared weight of following formula smaller with respect to second, promptly α can obtain smaller; When the roller ability of planisher is smaller, can make second shared weight of following formula relative first smaller, promptly β can obtain smaller.
The span that B, each process parameter optimizing calculate
Collateral security product mechanical performance, guarantee that the angle of set steady operation sets out, provide the optimization span of each flattening technological parameter:
B1, smooth percentage elongation ε.In order to eliminate yield point elongation and to improve plate shape, need smooth certain lower limit, the i.e. ε 〉=max (ε of extending beyond
0i, ε
1i), ε in the formula
0iThe smooth percentage elongation of-elimination i kind steel grade specification band needed minimum of steel yield point elongation; ε
1iThe smooth percentage elongation of-elimination i kind steel grade specification band steel needed minimum of supplied materials shape wave.When percentage elongation changed in small range, the fluctuation of band steel mechanical performance was little.But smooth percentage elongation again can not be too big, otherwise can have a negative impact to band steel mechanical performance and surface quality.So usually the needs that improve mechanical performance and plate shape according to this steel grade specification are determined smooth percentage elongation desired value ε
0And higher limit ε
0+ Δ and lower limit ε
0-Δ ε (Δ ε general desirable about 0.2%) is set at ε ∈ [ε with the span of smooth percentage elongation ε
0-Δ ε, ε
0+ Δ ε].
B2, smooth speed V.Do not have the independently smooth unit of related process section for front and back, the span of smooth speed V is set at V
Min≤ V≤V
Max, in the formula: V
Min-by the unit speed lower limit of steel grade specification requirement, V
Max-by the unit speed higher limit of steel grade specification requirement.Move back for connecting, continuous processor group such as galvanizing, when optimizing calculating, smooth section speed is chosen decision according to the speed of the front and back process section of this steel grade specification, be generally a certain definite definite value, calculate definite relevant deformed area coefficient of friction and resistance of deformation etc. according to this speed and get final product, and not as optimizing variable.
B3, inlet tension force T
0To export tension force T
0Span be set at max (T
0imin, 0.1 σ
sBH)≤T
0≤ min (T
Max, 0.4 σ
sBh), T in the formula
0iminThe minimum inlet tension force that allows during planisher stable operation during-smooth this specification, according to before smooth section of the unit and tension force afterwards determine; T
MaxThe maximum tension that-planisher tension system can provide.
B4, outlet tension force T
1To export tension force T
1Span be set at max (T
1imin, 0.1 σ
sBh)≤T
1≤ min (T
Max, 0.4 σ
sBh), T in the formula
1iminThe minimum outlet tension force that allows during planisher stable operation during-smooth this specification, according to before smooth section of the unit and tension force afterwards determine; T
MaxThe maximum tension that-planisher tension system can provide.
B5、T
0≤T
1
B6, draught pressure P.The span of draught pressure P is set at max (bh
l, P
Min)≤P≤P
Max, b-strip width in the formula; P
l-polishing belt steel surface or the needed least unit width of formation roughness draught pressure; P
MinThe normal minimum draught pressure that allows when rolling of-planisher; P
MaxThe maximum draught pressure that-planisher press down system can provide.
C, employing optimized calculation method calculate the optimization result
Flattening technological parameter optimization is the constrained optimization problem of a multidimensional variable, can at first by the object function conversion constrained optimization problem be converted into unconstrained optimization problem, adopts Powell optimized search method can draw the optimization result faster.
At first determine object function and the constraints (span) that flattening technological parameter is optimized as previously mentioned, next prepare to optimize and calculate necessary basic parameter, comprise that this parameter of band base steel is as the steel grade trade mark, mechanical property, dimensions, strip crown etc., equipment basic parameter such as maximum draught pressure, maximum/minimum bending roller force, dimension of roller parameter, roll shape parameter etc., technology basic parameter such as target percentage elongation and permissible variation, smooth speed etc.Obtain optimum flattening technological parameter by calculating search.The specific implementation process is as follows:
Fig. 1 is the optimization calculation flow chart of belt steel flating process parameter optimizing presetting method of the present invention.Fig. 2 listed a kind of total draught pressure P calculation flow chart (the detailed calculated method of this flow process is referring to document: Lian Jiachuan. the calculating of cold rolling sheet rolling pressure and limit minimum thickness. heavy-duty machinery. the 2nd, 3 phase .1979), at present common total draught pressure computational methods are many, can select other computational methods when specifically optimizing as required.Fig. 3 lists a kind of best bending roller force S
aWith toe-out stress distribution F (S
a) calculation flow chart (the detailed calculated method of this flow process is referring to document: Lian Jiachuan, Liu Hongmin. gauge and shape control. Beijing. the .1995 of weapon industry publishing house), at present common best bending roller force and toe-out stress distribution computational methods are many, can select other computational methods when specifically optimizing as required.Fig. 1 cooperation has constituted a complete smooth parameter optimization calculation process with Fig. 2, Fig. 3.
The flattening technological parameter of a specification band steel is optimized computational process and can be described below in conjunction with Fig. 1:
(A), in optimizing variable feasible zone (span), provide the initial point of iterative computation: target percentage elongation ε
0, smooth speed V
0, backward pull T
00, forward pull T
10, i.e. X
0=[ε
0, V
0, T
00, T
10], and iteration step length and termination precision Δ; (B), put iterations sign n=1;
(C), total draught pressure flow chart of listing of calling graph 2, calculate total draught pressure P
n
(D), the best bending roller force listed of calling graph 3 and corresponding toe-out stress distribution difference flow chart, calculate S
AnAnd F
n(S
a);
(E), the formula (3) by this paper calculates target function value G
n(X
n);
(F), calculate the difference of a current iteration target function value and a preceding iterative target functional value, as | G
n(X
n)-G
N-1(X
N-1) | during＜Δ, satisfy the iteration convergence condition, the X of this moment
n=[ε
n, V
n, T
0n, T
1n] and P
n, be optimum flattening technological parameter, change step (I); When | G
n(X
n)-G
N-1(X
N-1) | during 〉=Δ, change step (G);
(G), adopt the new feasible point X of POWELL optimal method search
N+1=[ε
N+1, V
N+1, T
0n+1, T
1n+1];
(H), n ← n+1, change step (C), carry out next iteration and calculate;
(I), the flattening technological parameter of this specification band steel is optimized the computational process end.
Using method of the present invention, that a certain belt steel flating Parameter Optimization is presetted calculated examples is as follows:
Required basic parameter is calculated in A, optimization
This parameter of band base steel: hot-dip galvanized steel strip, steel grade trade mark DC51, supplied materials thickness H=0.5mm, width b=1000mm, yield strength σ
s=360MPa, power resistance strength σ
b=420MPa, supplied materials convexity Δ H=8 μ m, access panel shape＜301.
Planisher equipment basic parameter: working roll barrel length L
w=1500mm, work roll diameter D
w=φ 480mm, work roll crown Δ D
w=70 μ m, backing roll barrel length L
b=1450mm, backing roll diameter D
b=φ 1150mm, backing roll convexity Δ D
b=0, backing roll transmission side and active side housing screw centre-to-centre spacing l
1=2.67m, the positive and negative roller of working roll, transmission side and active side roller hydraulic cylinder centre-to-centre spacing l
2=2.47m.Maximum bending roller force S
Max=+600KN, minimum bending roller force S
Min=-600KN, maximum draught pressure P
Max=7000KN, maximum inlet/outlet tension force T
Max=90KN, the ground state bending roller force S of planisher
0=S
Max-S
Min=0.
Basic technology condition and parameter: unit maximal rate V
Max=160m/min, wet smooth, the smooth percentage elongation 1.0% of target, percentage elongation permissible variation Δ ε=± 0.2%.
B, determine the optimization aim function
Consider it is hot-dip galvanized steel strip, smooth fast V degree directly is taken as the unit maximum not as optimizing variable according to front and back process section speed.The optimization variable here is smooth percentage elongation ε, backward pull T
0With forward pull T
1According to this paper formula (3), get α=β=1.0, S
0=(S
Max+ S
Min)/2=0, S
Max+ S
Min=1200KN, σ
s=360MPa, then the optimization aim function is:
minG(X)＝‖S
a-S
0‖/1200+F(S
a)/360
In the formula: X=[ε, T
0, T
1]
C, definite constraints of optimizing
The substitution basic parameter obtains the span of technological parameter:
C1, smooth percentage elongation ε ∈ [0.8%, 1.2%].
C2, inlet tension force T
0In conjunction with being with the steel specification and considering the stable T that gets of unit operation
0min=30KN, 0.4 σ
sBH=0.4 * 360 * 10
3* 1000 * 10
-3* 0.5 * 10
-3=72KN＜90KN determines that in view of the above inlet tension force span is 30KN≤T
0≤ 72KN.
C3, outlet tension force T
1The same T
0min=30KN, 0.4 σ
sBh=0.4 * 360 * 10
3* 1000 * 10
-3* 0.5 * 10
-3* (1.0-1%)=and 72KN, determine that in view of the above outlet tension force span is 30KN≤T
1≤ 72KN.
C4、T
0≤T
1
C5, draught pressure P.-establish the normal minimum draught pressure P that allows when rolling of this planisher
Min=1000KN establishes smooth this belt steel surface or forms the needed least unit width of roughness draught pressure P
l=1.5KN/mm, P
l* b=1.5 * 1000=1500KN.The draught pressure span of all these band steel is 1500KN≤P≤7000KN.
D, optimization computation result
Adopt the calculation process of Fig. 1-3, calculate optimal solution X
*=[ε
*, T
0 *, T
1 *]=[1.0%, 55KN, 59KN], corresponding total draught pressure P
*=1501KN, bending roller force S
a *=96.2KN, toe-out stress difference F (S
a *)=12MPa, target function value G (X
*)=0.11.
If get other one group of smooth parameter X arbitrarily
Δ=[ε
Δ, T
0 Δ, T
1 Δ]=[1.1%, 40KN, 42KN], then can obtain corresponding P this moment as calculated
Δ=1724KN, S
a Δ=117.7KN, F (S
a Δ)=11.9MPa, target function value G (X
Δ)=0.124＞G (X
*).
The outlet tensile stress distribution difference of two groups of smooth parameter correspondences (promptly represent smooth after belt plate shape) F (S
a *) and F (S
a Δ) quite, and S
a *Compare S
a ΔMore close S
0, obvious X
*Be better than X
Δ
Claims (3)
1, a kind of belt steel flating parameters Optimization presetting method is characterized in that, comprises following key element:
The object function that A, flattening technological parameter optimization preset
With smooth percentage elongation ε, smooth speed V, inlet tension force T
0With outlet tension force T
1Flattening technological parameter Deng the best bending roller force of decision is the optimization variable, and the optimization aim function of above-mentioned flattening technological parameter is set at:
min?G(X)＝α‖S
a-S
0‖/‖S
max-S
min‖+βF(S
a)/σ
s
In the formula: X=[ε, V, T
0, T
1]
S
0-ground state bending roller force, S
0=(S
Max+ S
Min)/2, S
Max, S
MinBe respectively maximum, minimum bending roller force that planisher hydraulic bending roll system can realize,
σ
sThe yield limit of-belt steel material,
The weight coefficient of the difference item of the mould item of α, β-be respectively best bending roller force and ground state bending roller force deviation, outlet tensile stress maximum and minimum of a value, α 〉=0, β 〉=0;
The span that B, flattening technological parameter are optimized
B1, smooth percentage elongation ε usually determine that according to the needs that this steel grade specification is improved mechanical performance and plate shape the span of smooth percentage elongation is set at ε ∈ [ε
0-Δ ε, ε
0+ Δ ε];
B2, smooth speed V, V
Min≤ V≤V
Max, in the formula: V
Min-by the unit speed lower limit of steel grade specification requirement, V
Max-by the unit speed higher limit of steel grade specification requirement;
B3, inlet tension force T
0, will export tension force T
0Span be set at max (T
0imin, 0.1 σ
sBH)≤T0≤min (T
Max, 0.4 σ
sBH), T in the formula
0iminThe minimum inlet tension force that allows during planisher stable operation during-smooth this specification, T
MaxThe maximum tension that-planisher tension system can provide, b-strip width, H-band steel inlet thickness;
B4, outlet tension force T
1, will export tension force T
1Span be set at max (T
1imin, 0.1 σ
sBh)≤T
1≤ min (T
Max, 0.4 σ
sBh), T in the formula
1iminThe minimum outlet tension force that allows during planisher stable operation during-smooth this specification, T
MaxThe maximum tension that-planisher tension system can provide, b-strip width, h-band steel exports thickness;
B5, setting T
0≤ T
1
B6, draught pressure P are set at max (bp with the span of draught pressure P
l, P
Min)≤P≤P
Max, b-strip width in the formula, p
l-polishing belt steel surface or the needed least unit width of formation roughness draught pressure, P
MinThe normal minimum draught pressure that allows when rolling of-planisher, P
MaxThe maximum draught pressure that-planisher press down system can provide.
2, belt steel flating parameters Optimization presetting method according to claim 1, it is characterized in that: move back for connecting, continuous processor group such as galvanizing, when optimizing calculating, smooth section speed V chooses decision according to the speed of the front and back process section of this steel grade specification, and speed is calculated definite relevant deformed area coefficient of friction and resistance of deformation in view of the above.
3, according to claim 1 or described belt steel flating parameters Optimization presetting method, it is characterized in that: described best bending roller force S
aDetermine by following formula:
F(S
a)＝min(max(σ
1j)-min(σ
1j))
In the formula: σ
1jThe outlet tensile stress value that j is ordered on-strip width the direction,
S
Max〉=S
a〉=S
Min, S
MaxThe maximum bending roller force that-planisher roller system can provide, S
MinThe minimum bending roller force that-planisher roller system can provide.
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