CN106903173A - A kind of rolling schedule optimization method based on equal load function method - Google Patents

A kind of rolling schedule optimization method based on equal load function method Download PDF

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Publication number
CN106903173A
CN106903173A CN201710101411.3A CN201710101411A CN106903173A CN 106903173 A CN106903173 A CN 106903173A CN 201710101411 A CN201710101411 A CN 201710101411A CN 106903173 A CN106903173 A CN 106903173A
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load
value
thickness
surplus
time
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CN201710101411.3A
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韩庆
邵建
荆丰伟
宋勇
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Beijing University of Technology
University of Science and Technology Beijing USTB
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University of Science and Technology Beijing USTB
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B37/00Control devices or methods specially adapted for metal-rolling mills or the work produced thereby

Abstract

A kind of rolling schedule optimization method based on equal load function method of the present invention, step:1)Every time function of load value is calculated according to original depth distribution, and thus draws load surplus initial value;2)Every time exit thickness is calculated by load surplus initial value;3)Extreme trace time actual load surplus is calculated by the 2nd passage exit thickness reciprocal and finished product thickness;4)If extreme trace time load surplus actual value has deviation with load surplus initial value, iterated to calculate again by the 2nd step according to revised load surplus, until extreme trace time load surplus actual value meets required precision with correction value deviation.Optimal rolling schedule needed for now each road thickness value and relevant pressure value are constituted, current load residual correction value is exactly the optimization load surplus of the code.A kind of rolling schedule optimization method based on equal load function method referred to by the present invention, the real-time optimization that can effectively solve rolling schedule is calculated, with engineering application value higher.

Description

A kind of rolling schedule optimization method based on equal load function method
Technical field:
The present invention relates to metallurgical technology, automation and rolling technique, refer specifically to a kind of based on the sharing of load method such as comprehensive Rolling schedule optimization method.
Background technology:
In belt steel rolling production process, rolling procedure sets one to the key for being tissue production, wherein, sharing of load is determined The state characteristic of the operation of rolling, its rationally whether, difficulty or ease, the unit operation of height, the rolling equipment adjustment to product quality Reliability and the stability etc. of production process have directly influence.In essence, sharing of load determines the operation of rolling State characteristic.For example, sharing of load directly influences the product qualities such as plate shape, thickness of slab precision, sharing of load is also to rolling energy The item indexs such as consumption, roller consumption, the stability of production process and operating rate have a major impact.In some cases, sharing of load will also The final structure property of product is had influence on, thus sharing of load is always paid attention to by people, as current rolling technical field One highly important problem.
Document 1 (the optimum load assignment problem on milling train, steel, 1980, (1):42~48) propose comprehensive etc. bearing Lotus function method, its thought is the dullness that the load based on rolling machine systems such as roll-force, torques in the operation of rolling is into and out mouthful thickness Function this operational characteristic, selects following process goal function:
Wherein:
Then optimal solutionExistence anduniquess simultaneously meets condition:
Corresponding C*It is a dimensionless number, represents the minimum margin of milling train load capacity.
The equal thickness point of the Shi Ange roads relative load that is given by (1), the visible equal muti-load optimization algorithm of (2) two formulas With scheme, and be by the weak link in the project such as mill rolling force, driving torque, power of motor in (2) formula (before the formula Face takes minimum value) choose, it is that the worst link of ability comes excellent in being equipped by specified milling train to this ensures that there procedure optimization Change design.
The sharing of load of current practice is more to be formulated according to knowhow, i.e. thickness distribution is rule of thumb given by technique It is fixed.But rational thickness distribution and appointed condition, rolling kind, specification and the direct phase of mechanical property factors in process Close, interact again between each factor, relation is sufficiently complex, thus the given experience reduction system of technique be difficult to meet actual supplied materials and The process conditions such as current device operation conditions it is ever-changing, be often only applicable under a certain specific operation, but work as working conditions change When same reduction system it is just unreasonable or be not optimal.
The content of the invention:
In order to solve the above problems, it is an object of the present invention to provide a kind of rolling schedule optimization based on equal load function method Method, it is not optimal rolling procedure that the experience sharing of load of solving the problems, such as is likely to occur in actual applications.Theory analysis and A large amount of engineering practices show that the requirement of Modern Rolling Mill real-time application is fully achieved with the rapidity for calculating for the stability of the algorithm,
The technical scheme is that:A kind of rolling schedule optimization method based on equal load function method, particular technique side Case is as follows:
First, according to every time maximum allowable roll-force PmiConstruction function of loadWherein, i =1,2 ..., n, n be total road number of times;
Secondly, according to supplied materials thickness h0, finished product thickness hn, the given original depth distribution h of technique1、h2、…hn-1And rolling Power formula P=Bl'cKQpCalculate roll-force.Wherein, P is tube rolling simulation value, and B is rolled piece width, L 'cIt is and roll contact The floor projection length of arc length, K is resistance of deformation, QpIt is stress status modulus;
Then, using function of loadCalculate every time corresponding function of load value f1、f2、… fn-1、fn, and the initial value of load surplus is calculated as follows C=(f1+f2…+fn)/n。
For the 1st passage, byCan be in the hope of the 1st passes power P '1, further according to rolling Power model P=Bl'cKQpCounter can release h '1, it is similar with upper, can be by solving f2(h′1, h '2)=C obtains h '2, until trying to achieve down The passage exit thickness h ' of number the 2ndn-1, at this moment there is f1'=f '2=...=f 'n-1=C.
By h 'n-1With finished product thickness hnCalculate extreme trace time load surplus
Now using extreme trace time load surplus calculated value and the deviation E=f ' of initial value Cn(h′n-1,hn)-C be C dull letter Number, i.e., E reduces with the increase of C, increases with the reduction of C, meets monotonicity this feature and makees load residual correction value again C′。
If deviation E absolute values | f 'n- C ' |≤0.0001, then it is assumed that f 'nWith C approximately equals, every time has now been met Deng burden requirement without iteration.
If E>0, with (1-f 'nThe step-length of)/15 increases C, then revised load surplus C '=C+ (1-f 'n)/15, if E <0, with (1-f 'nThe step-length of)/15 reduces C, then revised load surplus C '=C- (1-f 'n)/15.With revised load surplus C ', according toWith rolling force model P=Bl'cKQpRecalculate h 'n-1, then byDraw extreme trace time load surplus actual value f 'n, loop iteration is until | f 'n- C ' |≤0.001 is Only.The h for now obtaining1、h2、…hn-1、hnOptimal thickness distribution under as comprehensive etc. load.
One of features of the present invention is that the object function that load surplus is represented from for convenience of calculation should use shape such as (4) relative load of formula, such as simpler formOr fi(hi-1,hi)=Pi, the former is relative Pressure load, and the latter is absolute pressure, there is negative value between 0 and 1, only when excess load in general boundary, its value changes scope Less.And use roll-force etc. directly as function of load, with the difference of milling train size, its value changes scope is very big, It is unfavorable for setting up the universality of algorithm;
The two of the features of the present invention are, described object function E=f 'n(h′n-1,hn)-C be C monotonic function, i.e., E is with C Increase and reduce, increase with the reduction of C, meet monotonicity, then have certainly a C values meet | fn- C |≤0.0001 condition, Theoretically ensure that loop iteration has solution.
The three of the features of the present invention are that although the complication of loop iteration algorithm increased the calculating time.But with the modern times Computer technology is developed rapidly, and its calculating speed can also fully meet application on site, a typical road rolling procedure of roughing 5 The calculating time on the server is usually no more than 200ms, as shown in Figure 2.Above-mentioned general principle is to any conventional board rolling Process be applicable, including non-ferrous metal rolling.
Brief description of the drawings:
Fig. 1 technical scheme flow charts.
The artificial codes of Fig. 2 and grade load code pressure difference correlation curve.
Specific embodiment
Technical scheme is described further with reference to specific practical application effect.
As shown in figure 1, a kind of OPTIMIZATION OF ROLLING method based on equal load function method of the present invention, the program is according to including Following steps:
1) according to supplied materials thickness h0, finished product thickness hn, the given thickness allocative decision h of technique1、h2、…hn-1And roll-force mould Type P=Bl'cKQpCalculate every time roll-force Pi, then by every time maximum allowable roll-force PmaxiThis process equipment is constrained Condition, obtains every time corresponding load margin valueWherein i=1,2 ..., n, i be passage number, N is total road number of times, and P is tube rolling simulation value, and B is rolled piece width, L 'cIt is the floor projection length with roll contact arc length, K is Resistance of deformation, QpIt is stress status modulus.Generally, every time for being calculated by the given thickness allocative decision of technique is born Lotus surplus is not mutually equal, i.e. f1≠f2…≠fn-1≠fn.In order to the purpose of sharing of load code such as reach, it is necessary to be circulated repeatedly In generation, makes final load margin value equal, even if f1'=f '2...=f 'n-1=f 'n
2) the load surplus initial value C=(f of loop iteration1+f2…+fn)/n.It is maximum allowable according to the 1st passage as i=1 Roll-force Pmax1With load surplus initial value C byWherein can be in the hope of the 1st actual roll-force of passage P1', further according to rolling force model P=Bl'cKQpCounter can release actual exit thickness h ' now1.Then each road is obtained successively Secondary actual exit thickness h '1, until trying to achieve the 2nd actual exit thickness h ' of passage of inversen-1
3) h ' tried to achieve according to step 2n-1With finished product thickness hn, by rolling force model P=Bl'cKQpCalculate extreme trace time real Border roll-force P 'n, so as to calculate extreme trace time load surplus actual value
4) extreme trace according to step 3 time load surplus actual value f 'nObtain the deviation E=f ' with load surplus initial value Cn (h′n-1,hn)-C.If deviation E absolute values | f 'n- C ' |≤0.0001, then it is assumed that f 'nWith C approximately equals, now meet every The inferior burden requirement in road and without iteration.If E>0, with (1-f 'nThe step-length increase of)/15 C, i.e. C '=C+ (1-f 'n)/15, if E<0, with (1-f 'nThe step-length of)/15 reduces C, i.e. C '=C- (1-f 'n)/15, then according to load residual correction value C ', then from the 2nd Walk initially as loop iteration initial value, until extreme trace time load surplus actual value f 'nDeviation with load residual correction value C ' expires Untill sufficient required precision, i.e., | f 'n- C ' |≤0.0001, now load surplus f1'=f '2...=f 'n-1=f 'n, the h ' for obtaining1、 h′2、…h′n-1、h′nOptimal thickness distribution under as comprehensive etc. load.
Rolling schedule optimization method based on equal load function method considers the pact of the links of rolling machine system comprehensively Beam condition, with thickness as 160mm, the slab of width 1250mm, length 8000mm, steel grade as Q235B, rolling workpiece thickness is As a example by the 5 passes codes of 30mm, the roll-force rolling such as procedure optimization object function use.Procedure optimization result of calculation such as table Shown in 1.
Table 1 uses relative roll-force as the rolling procedure of object function
As can be known from the above table, the algorithm can effectively calculate the rolling procedure for the roll-force standard such as meeting, and embody etc. and to roll The principle of power distribution processed.Scene obtains following PRELIMINARY RESULTS by a large amount of tentative calculations and analysis to procedure optimization:Based on comprehensive etc. The rolling schedule optimization method of function of load can make rolling machine system load balancing, substantially reduce the load fluctuations such as roll-force, power, And the stability of algorithm is ensure that, it is that solid foundation has been established in the real-time online application of the method.Procedure optimization newly developed Algorithm, on the premise of the calculating time is not increased, can quickly be calculated by the sharing of load principle being arbitrarily designated, and be entirely capable of Meet real-time calculating and the sets requirement of strip production rolling schedule.
The present invention is applied on certain 1450mm hot-rolling mill at home, with thickness 160mm, width 1250mm, length As a example by 8000mm, the roughing code of the slab rolling workpiece thickness 30mm of steel grade Q235B, by 60 pieces of slab realities of collection site Data are surveyed to analyze superiority of the invention.In order to increase comparativity, 60 blocks of slabs of continuous rolling are by same one man operation, preceding 30 Block slab carries out roll gap setting using traditional empirical method assignment procedure, and 30 pieces is using equal muti-load optimization method meter afterwards The code of calculation sets roll gap, and every block of slab rolls 5 passages.Can be with slab actual (real) thickness and reality in view of the 1st passes power The deviation of border temperature and initial data and wide fluctuations, therefore take the 2 to 5th adjacent two passages draught pressure difference and be analyzed ratio Compared with i.e. Δ P2=P2-P3, Δ P3=P3-P4, Δ P4=P4-P5.The optimization method for being based on waiting pressure principle is used to obtain as shown in Figure 2 Roll-force difference is surveyed between the passage of the rolling procedure (afterwards 30 pieces) for going out within 10 tons, than Conventional wisdom laod sharing mode Roll-force subtractive few 50% to 90%, illustrates the rolling calculated using the rolling schedule optimization method based on equal load function method Code such as meets at the principle of roll-force distribution.

Claims (3)

1. a kind of rolling schedule optimization method based on equal load function method, it is characterised in that the optimization method is specifically included Following steps:
1) the function of load value of corresponding passage is calculated according to original depth distribution, and thus draws load surplus initial value;
2) every time exit thickness is calculated by load surplus initial value;
3) extreme trace time actual load surplus is calculated by the 2nd passage exit thickness reciprocal and finished product thickness;
If 4) extreme trace time load surplus actual value has deviation with load surplus initial value, according to revised load surplus by the 2 steps are recirculated and calculated, until above-mentioned deviation meets required precision.
2. method according to claim 1, it is characterised in that the method is concretely comprised the following steps:
Step 1:According to supplied materials thickness h0, finished product thickness hn, the given thickness allocative decision h of technique1、h2、…hn-1And roll-force is public Formula:
P=Bl 'cKQp (1)
Calculate every time roll-force Pi, then by every time maximum allowable roll-force PmaxiThis process equipment constraints, obtains Every time corresponding load margin value fi
f i ( h i - 1 , h i ) = P max i - P i P max i - - - ( 2 )
Wherein, i be passage number, i=1,2 ..., n, n be total road number of times, P be tube rolling simulation value, B be rolled piece width, L 'cFor With the floor projection length of roll contact arc length, K is resistance of deformation, QpIt is stress status modulus;
Step 2:The load surplus initial value C=(f of loop iteration1+f2…+fn)/n, it is maximum allowable according to the 1st passage as i=1 Roll-force Pmax1With load surplus initial value C byWherein can be in the hope of the 1st actual roll-force of passage P1', further according to rolling force model P=Bl 'cKQpCounter can release actual exit thickness h ' now1, each road is then obtained successively Secondary actual exit thickness h 'i, until trying to achieve the 2nd actual exit thickness h ' of passage of inversen-1
Step 3:According to the h ' that step 2 is tried to achieven-1With finished product thickness hn, by rolling force model P=Bl 'cKQpCalculate extreme trace time real Border roll-force P 'n, so as to calculate extreme trace time load surplus actual value
Step 4:Extreme trace time load surplus actual value f ' according to step 3nObtain the deviation E=f ' with load surplus initial value Cn (h′n-1,hn)-C,
If deviation E absolute values | f 'n- C ' |≤0.0001, then it is assumed that f 'nWith C approximately equals, per pass has now been met inferior negative Lotus require and without iteration;
If E>0, with (1-f 'nThe step-length increase of)/15 C, i.e. C '=C+ (1-f 'n)/15, if E < 0, with (1-f 'nThe step-length of)/15 Reduce C, i.e. C '=C- (1-f 'n)/15, then according to load residual correction value C ', then from the 2nd step initially as at the beginning of loop iteration Value, until extreme trace time load surplus actual value f 'nUntill meeting required precision with the deviation of load residual correction value C ', i.e., | f 'n- C ' |≤0.0001, now load surplus f1'=f2' ...=f 'n-1=fn', the h ' for obtaining1、h′2、…h′n-1、h′nIt is as comprehensive Deng the optimal thickness distribution under load.
3. method according to claim 2, it is characterised in that described object function E=f 'n(h′n-1,hn)-C is C Monotonic function, E reduces with the increase of C, increases with the reduction of C, meets monotonicity.With (1-f 'nThe step-length adjustment of)/15 C ' Value, then have one C ' values to meet certainly | f 'n- C ' |≤0.0001 condition, that is, meet f '1=f '2...=f 'n-1=f 'n
CN201710101411.3A 2017-02-24 2017-02-24 A kind of rolling schedule optimization method based on equal load function method Pending CN106903173A (en)

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CN111702018A (en) * 2020-06-29 2020-09-25 新余钢铁股份有限公司 Method for improving thickness precision of rolling target of medium plate

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CN109848221A (en) * 2018-12-21 2019-06-07 东北大学 A kind of hot continuous rolling whole process load distribution method
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Application publication date: 20170630