EP1481742A2 - Ordinateur de commande et procédé de détermination assistée par ordinateur pour le control de la planéité et du profile pour une cage de laminoir - Google Patents

Ordinateur de commande et procédé de détermination assistée par ordinateur pour le control de la planéité et du profile pour une cage de laminoir Download PDF

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Publication number
EP1481742A2
EP1481742A2 EP04009244A EP04009244A EP1481742A2 EP 1481742 A2 EP1481742 A2 EP 1481742A2 EP 04009244 A EP04009244 A EP 04009244A EP 04009244 A EP04009244 A EP 04009244A EP 1481742 A2 EP1481742 A2 EP 1481742A2
Authority
EP
European Patent Office
Prior art keywords
roll
strip
model
profile
rolling
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
EP04009244A
Other languages
German (de)
English (en)
Other versions
EP1481742B1 (fr
EP1481742A3 (fr
Inventor
Johannes Dr. Reinschke
Otto Schmid
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Siemens AG
Original Assignee
Siemens AG
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from DE2003124679 external-priority patent/DE10324679A1/de
Application filed by Siemens AG filed Critical Siemens AG
Publication of EP1481742A2 publication Critical patent/EP1481742A2/fr
Publication of EP1481742A3 publication Critical patent/EP1481742A3/fr
Application granted granted Critical
Publication of EP1481742B1 publication Critical patent/EP1481742B1/fr
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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Classifications

    • 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
    • B21B37/28Control of flatness or profile during rolling of strip, sheets or plates
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B2263/00Shape of product
    • B21B2263/02Profile, e.g. of plate, hot strip, sections
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B2263/00Shape of product
    • B21B2263/04Flatness
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B2267/00Roll parameters
    • B21B2267/12Roll temperature
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B2267/00Roll parameters
    • B21B2267/24Roll wear
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B2269/00Roll bending or shifting
    • B21B2269/02Roll bending; vertical bending of rolls
    • B21B2269/04Work roll bending
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B2273/00Path parameters
    • B21B2273/04Lateral deviation, meandering, camber of product

Definitions

  • the invention relates to a control computer for a rolling mill with at least one roll stand that has at least two Has work rolls for rolling a metal strip and with at least one control computer for determining target values connected for profile and flatness actuators of the roll stand is as well as a computer-aided investigation for Setpoints for profile and flatness actuators of a roll stand with at least work rolls for rolling metal strip, that extends in a bandwidth direction.
  • the invention is based on an investigation method for Setpoints for profile and flatness actuators of a roll stand as described in DE 102 11 623 A1.
  • a material flow model Input quantities supplied that a metal strip before and after Describe running through a roll stand.
  • the material flow model determines a rolling force curve in the strip direction online and leads him to a roll deformation model to.
  • the roll deformation model determines the resulting Roll deformations and leads them to a setpoint determiner to that based on the determined roll deformations and one the setpoint values for the profile and flatness actuators determined,
  • the profile value is called scalar Measure of the deviation of the tape thickness at the tape edges understood by the strip thickness in the middle of the strip.
  • Under “Contour course” is the strip thickness curve minus the strip thickness understood in the middle of the band.
  • the term “flatness” includes from its literal sense, initially only visible faults of the metal band. The concept of flatness is about it also as a synonym for the internal tensions prevailing in the volume used, regardless of whether these inner Tensions lead to visible warping of the metal strip or not.
  • the object of the present invention is a Rolling mill and a computer-controlled investigation to provide for setpoints for profile and flatness actuators, by means of its predetermined profile values, contour profiles and / or flatness courses of the rolled strip better than in State of the art described can be achieved and adhered to can.
  • the extremely high quality requirements with regard to the accuracy in compliance with profile, Contour and flatness requirements for the rolled strip when it runs out are taken into account from the rolling mill.
  • the problem is solved by a method of the aforementioned Kind, taking a material flow model input variables are fed to the metal strip before and after going through it of the roll stand, using the material flow model online at least one rolling force curve at least in the direction of the strip width and a roll deformation model feeds, the roll deformation model current value of the strip center position is supplied, the Roll deformation model using the rolling force curve resulting roll deformations determined, one Feeds the setpoint determiner and the setpoint determiner based on the determined roll deformations and one on the outlet side Target contour course the target values for the profile and Flatness actuators determined.
  • the task is also solved by a control computer for a rolling mill of the type mentioned, the rolling mill at least one measuring device for determining the Has central strip position of the metal strip, the control computer a device for target value determination and a module for modeling the roll deformation, the module at least one module for modeling the roll deformation for modeling the roll bend and at least one module for modeling the roll temperature and roll wear has, the module for modeling the roll deformation with the measuring device and with the device is coupled to setpoint determination.
  • the proposed one is based Calculation of target values for profile and flatness actuators also especially for models that the elastic deformation of the work rolls as well as the thermal and describe wear crowning because this Sizes during the rolling operation not with reasonable effort are measurable.
  • DE 102 11 623 A1 did not assume that the tape was centered runs to the middle of the scaffold. Rather, it takes into account that it is often so-called, especially when rolling hot strip Swarming comes, that is within a scaffold the tape center position changes significantly during the tape run Extent.
  • the center of the belt can be worn in particular predicted much more precisely on the work roll surface become. It has also been found that by considering of the band position, the calculated deflection of the Roll set and the calculated thermal and wear crowning of the work rolls much more realistic can be determined.
  • the model results are still significantly improved, though the value of the center of the strip cyclically, preferably e.g. the Roll temperature and wear model is fed. This can e.g. done every three seconds.
  • Limits for are advantageously based on the wear contours the axial displaceability of the work rolls, in particular CVC rollers, determined.
  • a fluctuation range is advantageous for the roll bending model determined for the center position of the strip to be rolled.
  • the roll bending model is advantageous for every setpoint determination at least twice for at least two different ones Values of the center position of the strip called. It will be an advantage the continuous calculation of sensitivities that are used for Profile and flatness control are used during the Belt run according to the current strip position measurement interpolated between the bending model results. there In particular, the fluctuation range determined is covered.
  • Figure 1 is a rolling mill for rolling a metal strip 1 controlled by a control computer 2.
  • the in Figure 1 Rolling mill shown has several rolling stands 3, in particular at least three roll stands 3.
  • the metal strip 1 is in the rolling mill rolled in a rolling direction x and passes through the Rolling mill with the speed v.
  • Operation of the Control computer 2 is preferably from a computer program product with which the control computer 2 programs is.
  • the rolling mill shown in Figure 1 is a finishing mill for Hot rolling formed from steel strip or heavy plate.
  • the present is not for use in a multi-stand finishing train for hot rolling of steel strip limited. Rather, the rolling mill could also be used as a cold rolling mill (Tandem mill) and / or just one roll stand (e.g. a reversing stand) and / or for rolling a non-ferrous metal (e.g. aluminum or copper) be trained.
  • the roll stands 3 have at least work rolls 4 and, as indicated in FIG. 1 for one of the roll stands 3, usually also support rollers 5. You could also have more rollers, for example axially displaceable Between rollers. The work rolls can too be axially displaceable.
  • scaffold controllers 6 setpoints for in the drawing not shown profile and flatness actuators specified.
  • the scaffold controller 6 regulate the Actuators then according to the specified setpoints.
  • the setpoints make one outlet side for each roll stand 3 Roll gap course influenced that between the work rolls 4 sets.
  • the roll gap runout side corresponds with a contour profile aus on the outlet side (in the drawing not shown) of the metal strip 1. Die Setpoints for the actuators must therefore be determined in this way be that this corresponding roll gap course results.
  • the control computer 2 is acted upon by the input variables ⁇ 0 , S 0 , ⁇ T , S T and further input variables, which are explained in more detail below.
  • the input variables supplied to the control computer 2 include, for example, pass schedule data such as an input thickness h 0 of the metal strip 1 and an overall rolling force FW for each roll stand 3 (FIG. 2, hereinafter referred to as rolling force) and a pass reduction r. As a rule, they also include a final thickness h n , a target profile value, a target final contour profile ⁇ T and a desired flatness profile S T. Usually the rolled metal strip 1 should be as flat as possible.
  • the control computer 2 thus determines the target values from input variables which are fed to it and which describe the metal strip 1 on the inlet and outlet side.
  • At least one measuring device for determining the Central strip layer 125 becomes the central strip layer of the metal strip 1 determined.
  • the measuring device 125 is in FIG 1 not shown.
  • One or more measuring devices for Determination of the tape center position 125 are preferably between arranged the roll stands 3. They transmit measured values the strip center position 122 (FIG. 3) or values for deviations the tape center position ⁇ M ( Figure 3) to the control computer Second
  • control computer 2 there are several in the control computer 2 Modules for modeling the rolling mill are provided. So points the control computer 2 is a module for modeling the work roll flattening 8, a module for modeling the roll bending 9 and a module for modeling the roller temperature and roller wear 10. The aforementioned modules 8, 9, 10 form together, possibly with inclusion further modules, a module for modeling the roll deformation 7. In the control computer 2 there are also means for determining the contour 12 and a module for modeling the belt deformation 13 implemented.
  • the determined target contour profiles ⁇ are fed to a module for modeling the strip deformation 13 in order to determine the associated target rolling force profiles F R, i in the strip width direction z (compare FIGS. 3 and 4) for the individual roll stands 3.
  • the belt deformation model 13 is street-related and is preferably divided into material flow models. The material flow models serve to model the physical behavior of the metal strip 1 in the roll gap online and are described in more detail in DE 102 11 623 A1.
  • the rolling force profile F R (z) is fed to the work roll flattening model 8.
  • parameters such as the strip width, the strip inlet thickness, the pass reduction, the rolling force FW, the work roll radius and the modulus of elasticity are also supplied to the surface of the work rolls 4.
  • the work roll flattening model 8 determines a flattening course of the work rolls 4 towards the metal strip 1 in the strip width direction z and passes the flattening course on to the setpoint value determiner 11.
  • the rolling force profile F R (z) does not necessarily have to be supplied exclusively to the work roll flattening model 8. It can also be applied to the roll deformation model in another way.
  • the rolling force profile F R (z) can alternatively or additionally be supplied to the roll bending model 9 and / or the roll temperature and wear model 10.
  • FIG. 3 shows a longitudinal section through a work roll 4 and a section through the metal strip 1, the plane of the drawing is perpendicular to the rolling direction x.
  • the strip thickness direction y and the strip width direction z which is parallel to the roller axis 120. Because it especially when rolling hot strip using a rolling mill comes to the so-called swarming of the tape 1 changes the position of the belt center 122 within the framework 3 during of the tape run considerably. So only in exceptional cases in practice the roller center 121, which is always perpendicular to Roller axis 120 lies, and the tape center layer 120 not to each other added. You can use donors to make a deviation Determine the ⁇ M of the strip center layer 122 from the roller center 121.
  • the deviation ⁇ M fluctuates during the rolling operation constantly and can be up to several centimeters. This affects in particular the wear limits of the work rolls 4 out. So the actual wear limits give way 124 ( Figure 4) due to the swarming of the tape considerably from the wear limits 123 (FIG. 4), which one would expect with a belt always running in the middle.
  • the exact tape center position 122 by a measuring device 125 is determined, to the module for modeling the roll deformation 7 passed on (see also FIG 2).
  • the current one Strip position measurement value 122 and / or from strip position measurement values a tolerance range for the tape position in the past of the strip to be rolled.
  • the roll bending model 9 is preferably at least twice for different tape layers called. The calculation of the Profile and flatness setpoints, such as for the continuous calculation of sensitivities during the Belt run, according to the current belt position measurement interpolated between the bending model results.
  • the roll temperature and wear model 10 ( Figure 5) the current strip position measurement value is supplied with each model call. This is preferably done cyclically. It is preferred assumed that the deviation of the tape center position ⁇ M between two calls of the roll temperature and wear model 10 changes only relatively slightly.
  • roller temperature and wear model 10 With the help of the roller temperature and wear model 10 become a temperature contour and a wear contour for all rolls for the respective roll stand 3 determined. That I the temperature and wear of the rollers 4, 5 in the course the time, the roller temperature and wear model must change 10 again and again, especially in regular time Intervals can be called.
  • the distance between two Calling is usually in the order of magnitude between one and ten seconds, for example at three seconds. there a suitable averaging procedure for the measured Belt center position ⁇ M used.
  • the of the roller temperature and Wear model 10 determined temperature and wear contours are fed to the roll bending model 9 according to FIG.
  • the main input parameters for the roll temperature and wear model 10 are shown as in FIG. 5, Strip data, roll data, cooling data, the rolling forces FW as well as the belt speed v. There is also information about the deviation of the strip center position ⁇ M in the roller temperature and wear model 10 a. With the help of Roller temperature and wear model 10 will in particular the thermal crown or a temperature contour is determined.
  • the roll bending model 9 in addition to the roll temperature and wear model determined temperature and wear corrections also geometric data of the rollers 4, 5, the rolling force FW, a bending force and, if necessary fed a roll shift (see Figure 6). According to the invention, information about the Deviation of the strip center position ⁇ M in the roll bending model 9 on. With the help of the roll bending model 9, a roll deformation determined, in particular the elastic roller bending contour.
  • the of the roll bending model 9 and that of the roll temperature and - Contours determined by wear model 10 are shown in FIG 2 fed to the setpoint determiner 11.
  • the setpoint determiner 11 are finally fed the strip thickness curves ⁇ .
  • the setpoint determiner 11 can thus for each roll stand 3 by forming the difference between the outlet side Contour course ⁇ on the one hand and the determined flattening and deformations of the rollers 4, 5 on the other hand determine which Rest roll contour through the profile and flatness actuators still has to be realized.
  • the outlet-side roll gap contour of the roll stands 3 can be from various actuators or actuators can be influenced.
  • the roll back bend, an axial one, is an example Roll displacement with CVC rolls and a longitudinal rotation called the work rolls 4 ("pair crossing").
  • One too locally acting roller heating or cooling is conceivable.
  • the Setpoint determiner 11 can setpoints for all these actuators determine.

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Control Of Metal Rolling (AREA)
  • Numerical Control (AREA)
  • Reduction Rolling/Reduction Stand/Operation Of Reduction Machine (AREA)
EP04009244A 2003-05-30 2004-04-19 Ordinateur de commande et procédé de détermination assistée par ordinateur pour le control de la planéité et du profile pour une cage de laminoir Expired - Lifetime EP1481742B1 (fr)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
DE10324679 2003-05-30
DE2003124679 DE10324679A1 (de) 2002-03-15 2003-05-30 Steuerrechner und rechnergestützes Ermittlungsverfahren für eine Profil- und Planheitssteuerung für eine Walzstraße

Publications (3)

Publication Number Publication Date
EP1481742A2 true EP1481742A2 (fr) 2004-12-01
EP1481742A3 EP1481742A3 (fr) 2006-04-12
EP1481742B1 EP1481742B1 (fr) 2007-07-18

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EP04009244A Expired - Lifetime EP1481742B1 (fr) 2003-05-30 2004-04-19 Ordinateur de commande et procédé de détermination assistée par ordinateur pour le control de la planéité et du profile pour une cage de laminoir

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EP (1) EP1481742B1 (fr)
AT (1) ATE367217T1 (fr)
DE (1) DE502004004331D1 (fr)

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7849722B2 (en) 2006-03-08 2010-12-14 Nucor Corporation Method and plant for integrated monitoring and control of strip flatness and strip profile
US8205474B2 (en) 2006-03-08 2012-06-26 Nucor Corporation Method and plant for integrated monitoring and control of strip flatness and strip profile
WO2016146621A1 (fr) * 2015-03-16 2016-09-22 Sms Group Gmbh Procédé de fabrication de bandes métalliques
EP3479916A1 (fr) * 2017-11-06 2019-05-08 Primetals Technologies Germany GmbH Réglage ciblé de contour à l'aide de spécifications correspondantes
WO2020016387A1 (fr) * 2018-07-19 2020-01-23 Sms Group Gmbh Procédé permettant de déterminer des grandeurs de réglage pour des éléments actifs de réglage du profil et de la planéité d'une cage de laminoir et des valeurs de profil et de planéité moyenne d'une bande métallique laminée à chaud
RU2775774C1 (ru) * 2018-07-19 2022-07-08 Смс Груп Гмбх Способ определения управляющих воздействий для активных исполнительных элементов для воздействия на профиль и планшетность в прокатной клети и значений профиля и планшетности центральной области горячекатаной металлической полосы
EP4353375A1 (fr) * 2022-10-11 2024-04-17 Primetals Technologies Germany GmbH Procédé de détermination de variables de réglage d'une cage de laminoir, programme de commande correspondant, dispositif de commande muni d'un tel programme de commande et cage de laminoir muni d'un tel dispositif de commande

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE19618712A1 (de) * 1996-05-09 1997-11-13 Siemens Ag Regelverfahren für ein Walzgerüst zum Walzen eines Bandes
JP2000158029A (ja) * 1998-12-01 2000-06-13 Sumitomo Metal Ind Ltd クラスタ圧延機及びこれを用いた板形状制御法
WO2003078086A1 (fr) * 2002-03-15 2003-09-25 Siemens Aktiengesellschaft Procede de determination assiste par ordinateur pour des valeurs de consigne destinees a des actionneurs de profil et de planeite

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Publication number Priority date Publication date Assignee Title
DE10211623A1 (de) * 2002-03-15 2003-10-16 Siemens Ag Rechnergestütztes Ermittlungverfahren für Sollwerte für Profil-und Planheitsstellglieder

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE19618712A1 (de) * 1996-05-09 1997-11-13 Siemens Ag Regelverfahren für ein Walzgerüst zum Walzen eines Bandes
JP2000158029A (ja) * 1998-12-01 2000-06-13 Sumitomo Metal Ind Ltd クラスタ圧延機及びこれを用いた板形状制御法
WO2003078086A1 (fr) * 2002-03-15 2003-09-25 Siemens Aktiengesellschaft Procede de determination assiste par ordinateur pour des valeurs de consigne destinees a des actionneurs de profil et de planeite

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AUZINGER D ET AL: "NEUE ENTWICKLUNGEN BEI PROZESSMODELLEN FÜR WARMBREITBANDSTRASSEN" STAHL UND EISEN, VERLAG STAHLEISEN, DÜSSELDORF, DE, Bd. 116, Nr. 7, 15. Juli 1996 (1996-07-15), Seiten 59-65,131, XP000629440 ISSN: 0340-4803 *
LEE Y H ET AL: "TWO-STAND TEMPER AND DOUBLE REDUCTION MILL AT DONGBU STEEL, ASAN BAY WORKS" CAHIERS D'INFORMATIONS TECHNIQUES DE LA REVUE DE METALLURGIE, REVUE DE METALLURGIE. PARIS, FR, Bd. 97, Nr. 11, November 2000 (2000-11), Seiten 1391-1398, XP000977945 ISSN: 0035-1563 *
PATENT ABSTRACTS OF JAPAN Bd. 2000, Nr. 09, 13. Oktober 2000 (2000-10-13) -& JP 2000 158029 A (SUMITOMO METAL IND LTD), 13. Juni 2000 (2000-06-13) *
WIKLUND O ET AL: "PROFILE AND FLATNESS CONTROL METHODS FOR ROLLING OF FLAT PRODUCTS SIMULATED WITH MEFOS'S PHYSICALLY BASED COMPUTER MODELS" MWSP CONFERENCE PROCEEDINGS, XX, XX, Bd. 29, 1992, Seiten 363-369, XP008054399 *

Cited By (14)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8205474B2 (en) 2006-03-08 2012-06-26 Nucor Corporation Method and plant for integrated monitoring and control of strip flatness and strip profile
US8365562B2 (en) * 2006-03-08 2013-02-05 Nucor Corporation Method and plant for integrated monitoring and control of strip flatness and strip profile
US7849722B2 (en) 2006-03-08 2010-12-14 Nucor Corporation Method and plant for integrated monitoring and control of strip flatness and strip profile
WO2016146621A1 (fr) * 2015-03-16 2016-09-22 Sms Group Gmbh Procédé de fabrication de bandes métalliques
US10625317B2 (en) 2015-03-16 2020-04-21 Sms Group Gmbh Method for producing metal strips
US11534808B2 (en) 2017-11-06 2022-12-27 Primetals Technologies Germany Gmbh Targeted adjusting of the contour using corresponding specifications
EP3479916A1 (fr) * 2017-11-06 2019-05-08 Primetals Technologies Germany GmbH Réglage ciblé de contour à l'aide de spécifications correspondantes
WO2019086172A1 (fr) * 2017-11-06 2019-05-09 Primetals Technologies Germany Gmbh Réglage ciblé d'un contour par des consignes correspondantes
EP3706929B1 (fr) 2017-11-06 2023-04-12 Primetals Technologies Germany GmbH Réglage ciblé de contour à l'aide de spécifications correspondantes
WO2020016387A1 (fr) * 2018-07-19 2020-01-23 Sms Group Gmbh Procédé permettant de déterminer des grandeurs de réglage pour des éléments actifs de réglage du profil et de la planéité d'une cage de laminoir et des valeurs de profil et de planéité moyenne d'une bande métallique laminée à chaud
RU2775774C9 (ru) * 2018-07-19 2022-10-03 Смс Груп Гмбх Способ определения управляющих воздействий для активных исполнительных элементов для воздействия на профиль и планшетность в прокатной клети и значений профиля и планшетности центральной области горячекатаной металлической полосы
RU2775774C1 (ru) * 2018-07-19 2022-07-08 Смс Груп Гмбх Способ определения управляющих воздействий для активных исполнительных элементов для воздействия на профиль и планшетность в прокатной клети и значений профиля и планшетности центральной области горячекатаной металлической полосы
EP4353375A1 (fr) * 2022-10-11 2024-04-17 Primetals Technologies Germany GmbH Procédé de détermination de variables de réglage d'une cage de laminoir, programme de commande correspondant, dispositif de commande muni d'un tel programme de commande et cage de laminoir muni d'un tel dispositif de commande
WO2024078918A1 (fr) * 2022-10-11 2024-04-18 Primetals Technologies Germany Gmbh Procédé de détermination de grandeurs manipulées d'une cage de laminage, programme de commande correspondant, dispositif de commande comprenant un tel programme de commande, et cage de laminage comprenant un tel dispositif de commande

Also Published As

Publication number Publication date
EP1481742B1 (fr) 2007-07-18
EP1481742A3 (fr) 2006-04-12
ATE367217T1 (de) 2007-08-15
DE502004004331D1 (de) 2007-08-30

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