CN1329133C - Method for regulating the temperature of a metal strip, especially for rolling a metal hot strip in a finishing train - Google Patents

Abstract

The present invention relates to a method for controlling or regulating the temperature of a metal strip (6) in a finishing train (3) of a thermal mill. Firstly, to compose object function through comparing the change process of a rating temperature and a practice temperature, this object function measures the warp of the specified value at the arbitrary position in the mill, on the one hand, to adjust the belt speed and refrigerant stream by means of calculation beforehand and non linearity optimization, on the other hand, to adjust and control them by means of solving twice optimum problems and active-set strategy using the linearity assistant situation on line.

Description

Especially in the finishing mill line of rolled metal hot-rolled band, regulate the metal tape method of temperature

The present invention relates to a kind of control or regulate steel for example or the metal tape method of temperature of aluminium in the finishing mill line of rolled metal hot-rolled band.

US6220067B1 has introduced a kind of method, and it is adjusted in the temperature of mill train outlet side metal tape, that is final rolling temperature.Can not enough influence the transformation mutually of steel in mill train in this way exactly, this transformation mutually is especially significant for the material character of institute's metal band rolling when two-phase is rolling.In EP1014239A1, introduced a kind of method that similarly is used to calculate rolling shedule.

The material character of institute's rolled metal band and metallographic structure by chemical composition and especially the process temperature in the operation of rolling for example the control of sharing of load and temperature decide.For rolling temperature, the governor motion of especially final rolling temperature depends on the device type and the mode of operation of belt speed and intermediate stand cooling device usually.

The objective of the invention is to improve especially and in finishing mill line, the temperature of metal tape is controlled and regulated, avoid shortcoming known in the prior art, and especially improve control and adjusting above-mentioned governor motion.

Purpose of the present invention is by a kind of control and/or regulate especially that the metal tape method of temperature reaches in finishing mill line, wherein, and in order to determine that conditioning signal compares a rated temperature change procedure and an actual temperature change process; Determine the variations in temperature of each band point of metal tape; And be used for equipment governor motion, the object function in finishing mill line especially considering to constitute under the situation of subsidiary conditions at least one.

When determining the temperature changing process of each band point, advantageously follow the trail of the path and preferably additional its character such as the temperature of following the trail of of each band point.Therefore the precision that has obviously improved control or regulated.

Object function advantageously solves by the solving-optimizing problem.Consider technical boundary condition in extremely favourable mode here, especially the accommodation limit of governor motion wherein especially guarantees to be used for the big as far as possible free space that governor motion changes, and makes control or regulate required computing time to keep very short.

Advantageously, in rated temperature of the terminal regulation of finishing mill line.Mode is stipulated at least one rated temperature in finishing mill line as an alternative or supplement.Significantly improved thus the material character of metal tape and the control or the adjusting of structural constituent aspect thereof.

Metal tape actual temperature change process is advantageously determined by at least a model.Therefore, even, especially in finishing mill line, when the actual band of energy measurement is not warm, still can improve to metal tape temperature controlling or adjusting in the place of overstating and wanting for controlling or regulating.

Advantageously, model is carried out online adaptive.Can consider that in this way the equipment that exists drifts about (Anlagendrift), and the result who gears to actual circumstances that can determine to be particularly useful for follow-up those metal tapes that will be rolling.

Advantageously, be identified for the conditioning signal of cooling agent stream.

Advantageously, be identified for the conditioning signal of material flow.

In order to find the solution object function, advantageously use linear subsidiary conditions online, that is solving-optimizing problem especially in real time.Here, accommodation limit is especially listed with the form of equation or inequality subsidiary conditions.The optimized here value that advantageously provides the adjusting parameter that is used for next regulating cycle of separating.A kind of adjusting device clear, unified and that irrespectively constitute with device configurations is provided thus, and this adjusting device can reliably and apace be worked.

Advantageously find the solution the double optimization problem.Therefore, this optimization problem can very rapidly solve.

Described optimization problem is advantageously found the solution by active-set strategy (Active-Set Strategie).Therefore this optimization problem can be found the solution especially effectively in real time.

By come advantageously to calculate in advance the online rolling shedule algorithm of a kind of energy with the subsidiary conditions nonlinear optimization.Therefore, it is short that rolling shedule calculates the time compole that continues.Rolling shedule calculates provides tuning with the adjuster that works online especially best setting (set-Up) value.Therefore adjuster has the enough frees degree that are used to influence the band temperature.

Especially also be applicable to the rolling band that thickness wedge shape (Dickenkeil) arranged according to control of the present invention or adjusting metal tape method of temperature, this thickness wedge shape for example is used in the finished product tape thickness situation less than 1mm when semicontinuous rolling.When the band of thickness wedge shape was arranged, the additional subsidiary conditions of governor motion aspect worked rolling.

The invention provides a kind of computer program that comprises program code devices, when this computer program design was on a calculation element, it was applicable to the described according to the method described above step of enforcement.

The invention provides a kind of calculation element that is used to implement said method, wherein, this calculation element directly and/or affect indirectly the temperature of metal tape, this calculation element is programmed with above-mentioned computer program.

Preferably, described calculation element has a module and a module that is used to regulate the metal tape temperature that is used for determining online by a model metal tape temperature.Aforementioned calculation machine program product and calculation element explanation reach other schemes of the invention described above purpose.They correspondingly have the advantage that has illustrated at according to method of the present invention.

By below in conjunction with providing other advantages of the present invention and details in the explanation of accompanying drawing to various embodiments of the present invention.As example wherein:

Fig. 1 represents the principle structure of a milling train;

Fig. 2 schematically illustrates the model prediction formula adjusting device structure of finishing mill line;

Fig. 3 schematically shows model prediction formula adjusting device;

Fig. 4 represents the adjusting level or the prediction level of cooling agent stream; And

Fig. 5 represents the adjusting level or the prediction level of material flow.

Fig. 1 represents to produce the equipment of metal tape 6, and it comprises a roughing train 2, a finishing mill line 3 and a cooling section 4.This equipment typically is used for steel industry and metal industry.Establish a coiling machine 5 in cooling section 4 back.Batch in mill train 2 and 3 by coiling machine 5 that preferably hot rolling is made and the metal tape 6 of cooling in cooling section 4. Mill train 2 or 3 provided upstream metal tape sources 1, it for example is designed to the stove of heating of metal slab therein, or is designed to make therein the continuous ingot-casting device of metal tape 6.Metal tape 6 for example is made from aluminum or steel.

Described equipment and especially mill train 2,3 and cooling section 4 and at least one coiling machine 5 are controlled by a kind of control method of being implemented by a calculation element 13.For this reason, each part 1 of this calculation element 13 and the equipment of producing steel or aluminium is connected on control technology to 5.Calculation element 13 can be programmed by a control program that is designed to computer program, and it implements to be used for control or to regulate band 6 method of temperature according to of the present invention based on this program.

According to Fig. 1, metal tape or slab 6 leave the import thickness that at first is rolled down to behind the metal tape source 1 corresponding to finishing mill line 3 in roughing train 2.Then, metal tape 6 in finishing mill line inside by its final thickness of mill stand 3 ' be rolled down to.The coiling temperature that ensuing cooling section 4 is cooled to metal tape 6 to stipulate.

In order to guarantee that metal tape 6 has the mechanical property of expectation, finishing mill line 3 and cooling section 4 must be observed appropriate temperature changing process.Because in the operation of rolling, carry out being rolled the broadening of metal tape 6 hardly, so increase the length of band and under the precondition that material flow remains unchanged, also improved belt speed by the operation of rolling.

Fig. 2 at length express finishing mill line 3 with and mill stand 3 ', and illustrated finishing mill line 3 according to model prediction adjusting of the present invention (Modell-pradiktive Regelung).

Are thermometal bands 6 in finishing mill line 3 inside with mill stand 3 ' time of contact of colder working roll, and intermediate stand cooling device 7 is to the most important influence factor of the temperature of metal tape 6.Therefore, the governor motion in finishing mill line inner control or accommodation zone temperature correspondingly is material flow 16 and cooling agent stream 8.In Fig. 2,, mark two band point P of metal tape 6 as example in order more to be briefly described embodiment ₀, P ₁

Finishing mill line 3 is with its top X _AAnd terminal X _EBe the boundary.Equipment dynamic in finishing mill line 3 is learned and is characterised in that long lag time 105 relevant for temperature.For example, change cooling agent and flow 8 pairs at finishing mill line 3 top X _APlace's Temperature Influence, until be subjected to that this change influences headed by band point P ₀, P ₁Leaving last mill stand 3 ' Shi Caineng observes.Here it is will be designed to the reason of model prediction adjusting device with warm adjusting device 17 according to the present invention.

The calculation element 13 that is used to control the equipment of steel industry and is particularly useful for controlling finishing mill line 3 has a band temperature model 12 and one and is with warm adjusting device 17.Band temperature model 12 and be with warm adjusting device 17 here preferred cycle ground by regulating step work.

Be with warm adjusting device 17 that an adjuster 14 is arranged, its control or the cooling agent stream 8 of adjusting intermediate stand cooling device 7 and material flow 16, especially its speed V of metal tape 6.At adjuster 14 provided upstream one linearizing model 15, it is worked by the secondary programme-control.

The module 12 that is used for online definite band temperature have one be used for determining in real time 9, one of the on-line monitoring devices of band temperature be used for online adaptation module 10 and preferably one be used to forecast selected band point P ₀, P ₁Temperature T ^j _K=0,1Module 11.

On-line monitoring device 9 is served one and is used to determine at the gentle preferably model of phase state of the real-time band of finishing mill line 3 interior metal bands 6.The module 12 of online definite band temperature thereby have one not have the band temperature model represented in detail in the drawings.This band temperature model can for example be predicted band point P ₀, P ₁Final temperature, that is especially at position X _EThe band point temperature P at place ₀, P ₁Set out thus and set up a linearizing model 15, it determines the band temperature of finishing mill line 3 operating points when the change of the change of given cooling agent stream 8 and/or given material flow 16.

By minimizing of inearized model 15 outlet secondary deviations, determine new correction value for cooling agent stream 8 or material flow 16, and when determining, consider preferably the inner given band medium temperature rated value of finishing mill line or in finishing mill line 3 the given final temperature rated value of metal tape 6.Linearisation by the band temperature model obtains a quadratic programming problem, and this problem can solve fast enough for On-line Control band temperature.

The task of on-line monitoring device 9 is to determine the real-time status of the metal tape 6 of finishing mill line 3, that is especially its promising control or regulate required medium temperature.The related data 102 in on-line monitoring device 9 exits preferably also comprise the real-time model correction.

Actual metal tape data 101 that record and temperature especially in finishing mill line, in the place that does not have and only be present in usually a small amount of regulation in some cases all the time, part only is present in place X _AAnd X _EOnline adaptation module 10 is utilized the data of being calculated by on-line monitoring device 9 102, the especially temperature of being determined by on-line monitoring device 9, and the temperature of preferably measuring 101.

Determine correction factor by online adaptation module 10, they especially are used in the correction model error in on-line monitoring device 9.Here preferably the temperature 101 of actual measurement is made comparisons with the temperature 102 that calculates.Online adaptation module 10 not only with on-line monitoring device 9 and also be used to predict the module 11 that is selected band point temperature and be connected.

Preferably enclose data at the entrance side of the module 11 that is used to predict the band temperature from online adaptation module 10 outlet sides.Module 11 can further be handled by on-line monitoring device 9 established datas.The band temperature of being calculated by module 11 is further passed to and is with warm adjusting device 17.Be used to predict the band temperature model that the warm module 11 of band is also used the module 12 of online definite band temperature.

Suction parameter with warm adjusting device 17 or inearized model 15 is an actual temperature change process and a predetermined rated temperature change procedure of being determined by the band temperature model.This rated temperature change procedure is according to concrete order requirement of device type, operational mode, metal tape 6 and desired characteristics regulation.

Use the entry data 103 that calculates by band temperature model 12 with warm adjusting device 17.Can use the control device setting especially neatly here because on-line monitoring device 9 can in addition when not having any corresponding measured value, determine any medium temperature at finishing mill line 3 interior metal bands 6.

Fig. 3 schematically shows out and be important problem for the model prediction adjusting, as those for example when the problem that should be in ferrite phase district occurs during rolled metal.Except the specified setting T of temperature at finishing mill line 3 terminal XE places ^d ₂Outward, people preferably use other at finishing mill line 3 temperature inside rated value T ^d ₀, T ^d ₁If for example should austenite region implement two of finishing mill line 3 formerly mill stand 3 ' the operation of rolling, but implement remaining operation of rolling in the ferrite zone, that is be located at the operation of rolling of those mill stands in downstream, then people need at least three as the rated temperature T that represent in Fig. 3 ^d ₀, T ^d ₁, T ^d ₂

First rated temperature T behind second mill stand ^d ₀The temperature that should guarantee the operation of rolling in front two mill stands is on the transition temperature between these phase zones.Second temperature rating T ^d ₁Should guarantee the phase transformation before the 3rd mill stand of finishing mill line 3.Also should observe at finishing mill line 3 terminal X as far as possible _EThe final temperature T at place ^d ₂

The temperature T that needs advance notice ^j _K=0,1,2Be preferably used for a plurality of band point P by being used to predict the warm module 11 of band by one ₀, P ₁, P ₂Model provide.Here, also can react with warm adjusting device 17 to the unexpected temperature fluctuation that for example causes by the stove automation.But preferably this realizes by changing cooling agent stream 8, rather than by changing belt speed V or material flow 16.Unexpected temperature fluctuation can for example stem from the local unevenness or the bending of metal tape 6.

The for example chronicity temperature change that can cause by a roller-way that not have further expression in the drawings that occurs in before the finishing mill line 3, the acceleration a by metal tape 6 preferably, that is compensated by change material flow 16.Correspondingly adjusted advance notice level 106.

In order to solve the problem of representing among Fig. 3, preferably find the solution as minimization problem by inearized model 15.Preferably change with material flow 16 and cooling agent for this reason and flow 8 control corresponding variablees, they make advance notice at a band point P ₀, P ₁, P ₂Temperature T ^j _K=0,1,2With respect to rated temperature T ^d _K=0,1,2And the second order error of wanting of overstating minimizes (seeing formula I).As cause cooling agent stream Q at each valve 7 places ₀, Q ₁Or Q ₂(briefly representing), then make it distance far away as far as possible be arranged from the technological limit of the intermediate stand cooling device 7 that preferably is designed to cooling agent valve or water valve 7 with 8.Therefore, intermediate stand cooling device 7 obtains the gap of maximum possible, so that from now on, that is in regulating step subsequently, can react to unexpected temperature fluctuation.

Must take the accommodation limit that intermediate stand cooling device 7 is followed into account: the cooling agent stream Q of a valve 7 ₀, Q ₁, Q ₂Can only change the corresponding and minimum of a value Q that do not allow to be in technical conditions of the power of this speed and separately valve 7 by speed ^Max _iOr maximum Q ^Min _iOutside, material flow 16 also must be in technological limit value inside, and these technological limit values are especially determined by the maximum or the minimum speed of metal tape when leaving finishing mill line 3.Also must be noted that the lower limit and the upper limit of the acceleration a of metal tape 6 relevant for material flow.

By module 12, under situation, calculate at given cooling agent stream 8 and material flow 16 and be the advance notice temperature T of the given adaptation coefficients of corresponding regulating step at one by the band temperature model ^j _kFor other advance notice, preferably freeze adaptation coefficients.In order to calculate the adjusting parameter that is used to control back to back those control steps, current cooling agent stream 8 and current material flow 16 are stipulated as the operating point.Then can be with new advance notice temperature Be expressed as T ^j _k+ Δ T ^j _k, wherein be suitable for formula down:

$\left(I\right)\mathrm{\Δ}{T}_k^j=\mathrm{\Δ}{T}_k^j(\mathrm{\Δ}{u}_{i_j}^j,\mathrm{\Δ}{u}_{i_{j+1}}^j,...\mathrm{\Δ}{u}_{j_{\mathrm{kj}}}^j,\mathrm{\Δa},\mathrm{\Δs})$

At last, preferably be called object function below finding the solution under the situation of accommodation limit considering that the front is called, wherein variable Δ u ^j _i, Δ a and Δ s, also to describe in detail these variablees in conjunction with Fig. 5 and 6:

As shown in Figure 3, to putting a P until band ₀Arrive final temperature rated value T ^d ₂Long-range like this future be with temperature to make advance notice.Usually this temperature rating is in the terminal X of finishing mill line 3 _ELocate, preferably measure the actual temperature of metal tape 6 there with a pyrometer of further not representing in the drawings.The advance notice of this model prediction is implemented at each regulating step Δ t all the time.

The Figure 4 and 5 explanation cooling agent stream (see figure 4) adjusting level different with the material flow (see figure 5).Abscissa is represented time shaft in two figure.

Preferably by belt speed V influence, adjusting level here preferably is limited to single regulating step to material flow 16.Then, suppose that shifted by delta s and acceleration change Δ a are preferably the constant (see figure 5).Otherwise unexpected temperature fluctuation is preferably by cooling agent stream Q _jInfluence.For this reason, use preferably at band point P _jTemperature advance notice value, see that along the material flow direction this band point is positioned at before the corresponding intermediate stand cooling device 7, so a band point P _jJust arrive corresponding intermediate stand cooling device after will passing through the lag time 105 of corresponding valve 7 and adding computing time.

Considering to revise Δ u although minimize (II) until terminal all following cooling agent streams of control level ^j _iCarry out under the situation of (see figure 4), but the real time implementation Q of cooling agent stream ^Act _IjJust by revising for the first time Δ u ^j _IjFinish.For reducing possible vibration, be used for Δ u ^j _Ij, Δ a and Δ s the real time implementation value multiply each other with relaxation coefficient (Relaxationsfaktor) 0＜x≤1 in case of necessity.

Equation (II) minimizing under the situation of considering the corresponding accommodation limit that front has especially been mentioned means and finds the solution a non-linear process design problem that the common amount of calculation of this problem is very big, and in order to quicken by line solver.All regulating step Δ t can for example all finish with 200 milliseconds by the present invention.

In order to reach acceleration, people preferably are similar to Gauss-Newton method and handle, and the temperature change linearisation that makes the relevant operating point of advance notice:

$\left(\mathrm{III}\right)\mathrm{\Δ}{T}_k^j\≈\underset{i=i_j}{\overset{i_{\mathrm{kj}}}{\mathrm{\Σ}}}{S}_{\mathrm{ki}}^j\mathrm{\Δ}{u}_i^j+{\tilde{S}}_k^j\mathrm{\Δa}+{\stackrel{\‾}{S}}_k^j\mathrm{\Δs}$

Sensitivity S ^j _Ki, With

Approximate as follows by finite difference calculus:

$\left(\mathrm{IV}\right)S_{{k,i}_j}^j=\frac{{T_k^j{|}_{Q_{\mathrm{ij}}^{\mathrm{act}}+\mathrm{\Δ}}-T_k^j|}_{Q_{\mathrm{ij}}^{\mathrm{act}}}}{\mathrm{\Δ}}$

$\left(V\right){\tilde{S}}_k^j=\frac{{T_k^0|}_{a^{\mathrm{act}}+\mathrm{\Δ}}{-T_k^0|}_{a^{\mathrm{act}}}}{\mathrm{\Δ}}$

$\left(\mathrm{VI}\right){\stackrel{\‾}{S}}_k^j=\frac{{T_k^0|}_{h_{\mathrm{exit}}{v}_{\mathrm{exit}}^{\mathrm{act}}+\mathrm{\Δ}}-{T_k^0|}_{v_{\mathrm{exit}}{v}_{\mathrm{exit}}^{\mathrm{act}}}}{\mathrm{\Δ}}$

In order to determine sensitivity S ^j _Ki, Or

Except advance notice temperature T jk, must find the solution the band temperature model once more.According to Gauss-Newton method, with linearisation (III) as a result in the second order error of substitution object function (II).Thereby draw following approximation:

$\left(\mathrm{VII}\right)|T_k^j+\mathrm{\Δ}{T}_k^j-T_k^d{|}^2\≈|T_k^j-T_k^d{|}^2+2(T_k^j-T_k^d)\underset{i=i_j}{\overset{i_{\mathrm{kj}}}{\mathrm{\Σ}}}{S}_{\mathrm{ki}}^j\mathrm{\Δ}{u}_i^j$

$+2(T_k^j-T_k^d){\tilde{S}}_k^j\mathrm{\Δa}+2(T_k^j-T_k^d){\stackrel{\‾}{S}}_k^j\mathrm{\Δs}$

$+2{\tilde{S}}_k^j\mathrm{\Δa}\underset{i=i_j}{\overset{i_{\mathrm{kj}}}{\mathrm{\Σ}}}{S}_{\mathrm{ki}}^j\mathrm{\Δ}{u}_i^j+2{\stackrel{\‾}{S}}_k^j\mathrm{\Δs}\underset{i=i_j}{\overset{i_{\mathrm{kj}}}{\mathrm{\Σ}}}{S}_{\mathrm{ki}}^j\mathrm{\Δ}{u}_i^j+2{\stackrel{\‾}{S}}_k^j{\tilde{S}}_k^j\mathrm{\Δs\Δa}$

$+\underset{i=i_j}{\overset{i_{\mathrm{kj}}}{\mathrm{\Σ}}}\underset{i=i_j}{\overset{i_{\mathrm{kj}}}{\mathrm{\Σ}}}{S}_{\mathrm{ki}}^j{S}_{\mathrm{kl}}^j\mathrm{\Δ}{u}_i^j\mathrm{\Δ}{u}_i^j+{\left|{\tilde{S}}_k^j\right|}^2{\left|\mathrm{\Δa}\right|}^2+{\left|{\stackrel{\‾}{S}}_k^j\right|}^2{\left|\mathrm{\Δs}\right|}^2$

Present with (VII) right side substitution (II), thus the secondary programming problem represented with following form:

$\left(\mathrm{VIII}\right)\min =f+\underset{\‾}{g^t}\underset{\‾}{\mathrm{\χ}}+\frac{1}{2}\underset{\‾}{{\mathrm{\χ}}^t}\underset{=}{H}\underset{\‾}{\mathrm{\χ}}$

(IX) b ^lower≤ x≤ b ^upper

Wherein f is a scalar, and H is a symmetry, is half positive N * N matrix of determining that H is positive certainly when positive parameter alpha, β and γ select enough greatly.Remaining variable is the column vector of n dimension.Inequality (IX) is interpreted as the component form.

In order to find the solution the double optimization problem, preferably adopt active-set strategy.

Particularly advantageously calculate according to the present invention and to be used for mill speed V and/or to be used for intermediate stand cooling device (7) horizontal stand (Wasserrampen) or the especially service chart of cooling agent platform (Kuhlmittelrampen), and observe with extra high precision.

Except advantage of the present invention above-mentioned and especially preface discussion,, carry out difference and weigh with simple mode also can on the meaning of priority, realize relevant controlling the overstated setting wanted first in control and/or when regulating the temperature of metal tape 6 according to the present invention.

By control that the invention provides a kind of flexibility and control method, it also can be used for different equipment parts, for example especially roughing train 2 or cooling section 4 in addition.The present invention can overlappingly be used in more than an equipment part 1 to 5.The particularly advantageous the present invention of being uses in two-phase is rolling and when rolling semicontinuous slab drive thickness wedge shape.

Claims (15)

1. one kind in a finishing mill line (3) inner control and/or regulate a metal tape (6) method of temperature, in order to determine that conditioning signal compares a rated temperature change procedure and an actual temperature change process, under the situation of considering subsidiary conditions, be configured for the object function of the equipment governor motion in described finishing mill line (3); It is characterized in that, determine respectively to be with on this metal tape (6) point (P ₀, P ₁, P ₂Or P _j) temperature changing process.

2. it is characterized by in accordance with the method for claim 1: described object function solves by finding the solution an optimization problem.

3. according to claim 1 or 2 described methods, it is characterized by: at rated temperature (T of the terminal regulation of described finishing mill line (3) ^d ₂).

4. according to claim 1 or 2 described methods, it is characterized by: in described finishing mill line (3), stipulate at least one rated temperature (T ^d ₀, T ^d ₁).

5. according to claim 1 or 2 described methods, it is characterized by: the actual temperature change process of described metal tape (6) is determined by at least one model (9 or 12).

6. it is characterized by in accordance with the method for claim 5: described model is carried out online adaptive.

7. according to claim 1 or 2 described methods, it is characterized by: the conditioning signal that is identified for cooling agent stream (8).

8. according to claim 1 or 2 described methods, it is characterized by: the conditioning signal that is identified for material flow (16).

9. according to claim 1 or 2 described methods, it is characterized by: in order to find the solution described object function, with optimization problem of nonlinear subsidiary conditions line solver.

10. it is characterized by in accordance with the method for claim 9: find the solution a double optimization problem.

11. it is characterized by in accordance with the method for claim 9: described optimization problem is found the solution by a kind of active-set strategy.

12., it is characterized by: precompute the online rolling shedule algorithm of a kind of energy by utilizing the subsidiary conditions nonlinear optimization according to claim 1 or 2 described methods.

13. a computer program that comprises program code devices, when this computer program moved on a calculation element, it was applicable to the step of enforcement according to the described method of above-mentioned each claim.

14. calculation element (13) that is used for implementing according to each described method of claim 1 to 12, wherein, this calculation element (13) directly and/or affect indirectly the temperature of metal tape (6), it is characterized by: this calculation element is used according to the described computer program of claim 13 and is programmed.

15. according to the described calculation element of claim 14 (13), it is characterized by: it has one to be used for determining the module (12) of metal tape temperature and the module (17) that is used to regulate the metal tape temperature online by a model.

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