EP1397523B1 - Cooling method for a hot-rolled product and a corresponding cooling-section model - Google Patents
Cooling method for a hot-rolled product and a corresponding cooling-section model Download PDFInfo
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- EP1397523B1 EP1397523B1 EP02748572A EP02748572A EP1397523B1 EP 1397523 B1 EP1397523 B1 EP 1397523B1 EP 02748572 A EP02748572 A EP 02748572A EP 02748572 A EP02748572 A EP 02748572A EP 1397523 B1 EP1397523 B1 EP 1397523B1
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- Prior art keywords
- cooling
- rolled
- temperature
- strip
- line model
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- 238000001816 cooling Methods 0.000 title claims abstract description 61
- 239000000463 material Substances 0.000 claims abstract description 27
- 230000009466 transformation Effects 0.000 claims abstract description 23
- 230000002123 temporal effect Effects 0.000 claims description 25
- 239000002826 coolant Substances 0.000 claims description 23
- 239000002184 metal Substances 0.000 claims description 22
- 229910000831 Steel Inorganic materials 0.000 claims description 9
- 239000010959 steel Substances 0.000 claims description 9
- 238000000034 method Methods 0.000 claims description 8
- 230000007704 transition Effects 0.000 claims description 6
- 238000011144 upstream manufacturing Methods 0.000 claims 3
- 238000005096 rolling process Methods 0.000 description 39
- 239000012071 phase Substances 0.000 description 24
- 230000006978 adaptation Effects 0.000 description 2
- 238000007792 addition Methods 0.000 description 2
- 230000008901 benefit Effects 0.000 description 2
- 238000004364 calculation method Methods 0.000 description 2
- 238000006243 chemical reaction Methods 0.000 description 2
- 230000008878 coupling Effects 0.000 description 2
- 238000010168 coupling process Methods 0.000 description 2
- 238000005859 coupling reaction Methods 0.000 description 2
- 238000013178 mathematical model Methods 0.000 description 2
- 230000008569 process Effects 0.000 description 2
- 239000007790 solid phase Substances 0.000 description 2
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 description 1
- 239000000956 alloy Substances 0.000 description 1
- 229910045601 alloy Inorganic materials 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 230000000295 complement effect Effects 0.000 description 1
- 230000001419 dependent effect Effects 0.000 description 1
- 238000004134 energy conservation Methods 0.000 description 1
- 230000003287 optical effect Effects 0.000 description 1
- 230000036962 time dependent Effects 0.000 description 1
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 1
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Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
- B21B37/74—Temperature control, e.g. by cooling or heating the rolls or the product
- B21B37/76—Cooling control on the run-out table
-
- C—CHEMISTRY; METALLURGY
- C21—METALLURGY OF IRON
- C21D—MODIFYING THE PHYSICAL STRUCTURE OF FERROUS METALS; GENERAL DEVICES FOR HEAT TREATMENT OF FERROUS OR NON-FERROUS METALS OR ALLOYS; MAKING METAL MALLEABLE, e.g. BY DECARBURISATION OR TEMPERING
- C21D11/00—Process control or regulation for heat treatments
- C21D11/005—Process control or regulation for heat treatments for cooling
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B2273/00—Path parameters
- B21B2273/20—Track of product
-
- C—CHEMISTRY; METALLURGY
- C21—METALLURGY OF IRON
- C21D—MODIFYING THE PHYSICAL STRUCTURE OF FERROUS METALS; GENERAL DEVICES FOR HEAT TREATMENT OF FERROUS OR NON-FERROUS METALS OR ALLOYS; MAKING METAL MALLEABLE, e.g. BY DECARBURISATION OR TEMPERING
- C21D9/00—Heat treatment, e.g. annealing, hardening, quenching or tempering, adapted for particular articles; Furnaces therefor
- C21D9/52—Heat treatment, e.g. annealing, hardening, quenching or tempering, adapted for particular articles; Furnaces therefor for wires; for strips ; for rods of unlimited length
- C21D9/54—Furnaces for treating strips or wire
- C21D9/56—Continuous furnaces for strip or wire
- C21D9/573—Continuous furnaces for strip or wire with cooling
Definitions
- the present invention further relates to a cooling line model corresponding thereto.
- phase transformation again requires the temperature as input parameter.
- the Fourier heat equation has to be solved together with the dynamics of the phase transformation.
- phase transformation is first modeled based on an approximate temperature history. Thereafter, the phase transformation is frozen. The exothermic processes in the phase transformation are then taken into account by heat sources in the Fourier heat equation. This approach partially neglects the coupling between the phase transformation and the temperature.
- the object of the present invention is to provide a cooling method and the corresponding cooling line model, by means of which the temperature of the rolling stock to be cooled as well as its phases and phase transitions are described correctly.
- the quantities e and p are location and time dependent. div and degrees are the well-known operators divergence and gradient, which act on the place variables.
- the approach according to the invention is based on the principle of energy conservation.
- the Fourier heat conduction line is therefore formulated with the enthalpy as a state variable and the temperature as the size dependent on the enthalpy. heat sources are obviously not needed. They do not have to be parameterized any more.
- phase transformation degree and the enthalpy represent state variables that can be numerically calculated in parallel.
- x denotes the position variable in the band thickness direction.
- the modeling is even better if a final temperature is recorded for the rolling stock behind the cooling section. Because then it is in particular possible to adapt the cooling line model based on a comparison of the detected end temperature with a determined based on the expected temporal temperature profile expected end temperature. Thus, the model can be optimized based on the actual detected final temperature.
- h is a function such as In equation 2 on page 144 of the article " Mathematical Models of Solid-Solid Phase Transitions in Steel "by A. Visintin, IMA Journal of Applied Mathematics, 39, 1987, pages 143-157 is disclosed.
- a hot-rolled rolling stock 1 runs out of a rolling stand 2 at a rolling speed v in a strip running direction z.
- a rolling stand temperature measuring station 3 is arranged.
- an initial temperature T1 is determined for a rolling stock detected on the surface of the rolling stock 1 and fed to a cooling line model 4 as an input parameter.
- the rolling stock 1 is a metal strip, for. B. a steel strip. It therefore has a rolling stock width b in a width direction y and a rolling stock thickness d in a thickness direction x. Walzgutbreite b and Walzgutdicke d together give the Walzgutquerrough the rolling stock. 1
- the initial temperature T1 of the rolling stock 1 can vary across the bandwidth b.
- the rolling temperature measuring station 3 is therefore preferably designed such that the initial temperature T1 across the bandwidth b can be detected multiple times.
- a plurality of temperature sensors arranged transversely across the bandwidth b may be provided for this purpose. It is also possible to provide a temperature sensor, which is preceded by an optical system, by means of which in the bandwidth direction y scanning is possible.
- the cooling section 5 has cooling devices 6, by means of which a coolant 7, typically water 7, from above, from below or from both sides of the rolling stock 1 can be applied.
- a coolant 7, typically water 7, from above, from below or from both sides of the rolling stock 1 can be applied.
- the type of application is adapted to the profile to be rolled.
- a reel temperature measuring station 8 is arranged. With this a corresponding end temperature T2 can be detected for the Walzgutstelle, which is also supplied to the cooling line model 4.
- the reel temperature measuring station 8 is designed in the same way as the rolling stand temperature measuring station 3.
- the reel temperature measuring station 8 is followed by a reel 9. On this, the metal strip 1 is reeled.
- the arrangement of the reel 9 is typical when rolling tapes.
- the reel 9 instead of the reel 9 usually another unit is provided, for. B. in wire rod mills a Windungsleger.
- the rolling stock 1 should have a predetermined temperature and desired desired microstructural properties G * when the reel 9 is reached. For this purpose, it is necessary that the metal strip 1 between rolling stand 2 and reel 9 has a corresponding temperature profile. This temperature profile is calculated by means of the cooling section model 4.
- cooling line model 4 different values are supplied to the cooling line model 4.
- the cooling speed model 4 the rolling speed v is supplied. Due to this fact, in particular a material tracking is feasible.
- the parameters PAR include in particular actual and desired parameters of the strip 1.
- An actual parameter is, for example, the alloy of the metal strip 1 or its bandwidth b.
- a desired parameter is, for example, the desired reel temperature.
- the cooling line model 4 according to FIG. 2 comprises a heat conduction model 10, a heat transfer model 11 and a coolant quantity course determiner 12.
- the cooling stretch model 4 determines an expected temporal temperature profile Tm (t).
- the expected temperature profile Tm (t) is compared with a desired temperature profile T * (t).
- the comparison result is supplied to the coolant quantity course determiner 12. This then uses the difference to determine a new coolant flow rate in order to approximate the expected temperature curve Tm (t) to the desired temperature curve T * (t).
- the cooling devices 6 of the cooling section 5 are then controlled by thedemengenverlaufsermittler 12 accordingly.
- the coolant 7 is thus applied to the relevant Walzgutstelle according to the determined temporal coolant flow rate.
- a heat conduction equation is achieved in the heat conduction model 10.
- e denotes the enthalpy
- ⁇ the thermal conductivity
- p the phase conversion degree
- ⁇ the density
- T the temperature of the rolling stock 1 at the rolling stock and t the time.
- ⁇ (e, 1) and ⁇ (e, 0) are functions as shown in FIG.
- T (e, 1) and T (e, 0) are functions as shown by way of example in FIG.
- the heat transfer model 13 can be adapted.
- This approach requires a significantly lower computational effort with only slightly deteriorated result, because in this case, only the heat equation for a one-dimensional rod that extends at the Walzgutstelle from the belt bottom to the top of the band must be solved.
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- Chemical & Material Sciences (AREA)
- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Materials Engineering (AREA)
- Thermal Sciences (AREA)
- Crystallography & Structural Chemistry (AREA)
- Physics & Mathematics (AREA)
- Metallurgy (AREA)
- Organic Chemistry (AREA)
- Control Of Metal Rolling (AREA)
- Metal Rolling (AREA)
- Control Of Heat Treatment Processes (AREA)
- Investigating Or Analyzing Materials Using Thermal Means (AREA)
- Heat Treatment Of Strip Materials And Filament Materials (AREA)
Abstract
Description
Die vorliegende Erfindung betrifft ein Kühlverfahren für ein warmgewalztes Walzgut mit einem Walzgutquerschnitt, insbesondere ein Metallband, z. B. ein Stahlband, in einer Kühlstrecke, mit folgenden Schritten:
- vor der Kühlstrecke wird für eine Walzgutstelle eine Anfangstemperatur erfasst,
- anhand eines Kühlstreckenmodells und vorgegebener Solleigenschaften des Walzgutes wird ein zeitlicher Kühlmittelmengenverlauf ermittelt,
- auf die Walzgutstelle wird gemäß dem ermittelten zeitlichen Kühlmittelmengenverlauf ein Kühlmittel aufgebracht, und
- anhand des Kühlstreckenmodells und des zeitlichen Kühlmittelmengenverlaufs wird ein erwarteter zeitlicher Temperaturverlauf des Walzgutes an der Walzgutstelle über den Walzgutquerschnitt ermittelt.
- in front of the cooling section, an initial temperature is detected for a rolling stock
- Based on a cooling line model and predetermined desired properties of the rolling stock, a time course of coolant quantity is determined,
- on the Walzgutstelle a coolant is applied in accordance with the determined temporal coolant flow rate, and
- Based on the cooling section model and the temporal coolant flow rate an expected temporal temperature profile of the rolling stock is determined at the Walzgutstelle on the Walzgutquerschnitt.
Die vorliegende Erfindung betrifft ferner ein hiermit korrespondierendes Kühlstreckenmodell.The present invention further relates to a cooling line model corresponding thereto.
Ein derartiges Kühlverfahren und das korrespondierende Kühlstreckenmodell sind z. B. aus "
Beim Kühlen eines warmgewalzten Metallbandes ist die exakte Modellierung des zeitlichen Temperaturverlaufs entscheidend für die Steuerung des Kühlmittelmengenverlaufs. Da ferner die Abkühlung nicht im thermodynamischen Gleichgewicht erfolgt, beeinflussen Phasenübergänge des zu kühlenden Walzguts, z. B. eine Phasenumwandlung von Stahl, entscheidend das thermische Verhalten bei der Abkühlung. Die Phasenumwandlung muss somit in die Fouriersche Wärmeleitungsgleichung einbezogen werden.When cooling a hot-rolled metal strip, the exact modeling of the temporal temperature profile is crucial for the control of the coolant flow rate. Further, since the cooling does not take place in the thermodynamic equilibrium, affect phase transitions of the rolling stock to be cooled, for. As a phase transformation of steel, crucial to the thermal behavior during cooling. The phase transformation must therefore be included in the Fourier heat equation.
Die Modellierung der Phasenumwandlung benötigt wiederum die Temperatur als Eingangsparameter. Hierdurch entsteht ein gekoppeltes Differenzialgleichungssystem, das numerisch z. B. durch einen Anfangswertproblemlöser näherungsweise gelöst werden kann. Bei diesem Ansatz ist die Fouriersche Wärmeleitungsgleichung zusammen mit der Dynamik der Phasenumwandlung zu lösen.The modeling of the phase transformation again requires the temperature as input parameter. This creates a coupled differential equation system, the numerically z. B. can be solved by an initial value problem solver approximately. In this approach, the Fourier heat equation has to be solved together with the dynamics of the phase transformation.
Im Stand der Technik sind zwei Methoden gebräuchlich.Two methods are common in the prior art.
Bei der ersten erfolgt die Modellierung der Phasenumwandlung zunächst auf der Basis eines angenäherten Temperaturverlaufs. Danach wird die Phasenumwandlung eingefroren. Die exothermen Vorgänge bei der Phasenumwandlung werden sodann durch Wärmequellen in der Fourierschen Wärmeleitungsgleichung berücksichtigt. Dieser Ansatz vernachlässigt teilweise die Kopplung zwischen der Phasenumwandlung und der Temperatur.In the first, the phase transformation is first modeled based on an approximate temperature history. Thereafter, the phase transformation is frozen. The exothermic processes in the phase transformation are then taken into account by heat sources in the Fourier heat equation. This approach partially neglects the coupling between the phase transformation and the temperature.
In einem anderen Verfahren wird zwar die Fouriersche Wärmeleitungsgleichung mit der Phasenumwandlung gekoppelt gelöst. Auch bei diesem Verfahren werden exotherme Vorgänge bei der Phasenumwandlung durch Wärmequellen in der Fourierschen Wärmeleitungsgleichung nachgebildet.In another method, although the Fourier heat equation is solved coupled with the phase transformation. Also in this method, exothermic processes in the phase transformation by heat sources are modeled in the Fourier heat equation.
Durch die Verfahren des Standes der Technik wird das Problem aber nur scheinbar gelöst. Denn der Ansatz ist in beiden Fällen physikalisch falsch. Dies zeigt sich insbesondere darin, dass die Wärmequelle im Kühlstreckenmodell gesondert parametriert werden muss.By the methods of the prior art, the problem is only apparently solved. Because the approach is physically wrong in both cases. This is particularly evident in the fact that the heat source in the cooling line model must be parameterized separately.
Die Aufgabe der vorliegenden Erfindung besteht darin, ein Kühlverfahren und das hiermit korrespondierende Kühlstreckenmodell zu schaffen, mittels dessen die Temperatur des zu kühlenden Walzguts und auch dessen Phasen und Phasenübergänge korrekt beschrieben werden.The object of the present invention is to provide a cooling method and the corresponding cooling line model, by means of which the temperature of the rolling stock to be cooled as well as its phases and phase transitions are described correctly.
Die Aufgabe wird für das Kühlverfahren dadurch gelöst, dass zur Ermittlung des Temperaturverlaufs im Walzgut im Kühlstreckenmodell eine Wärmeleitungsgleichung der Form
Die Größen e und p sind dabei ort- und zeitabhängig. div und grad sind die allgemein bekannten Operatoren Divergenz und Gradient, die auf die Ortsvariablen wirken.The quantities e and p are location and time dependent. div and degrees are the well-known operators divergence and gradient, which act on the place variables.
Hiermit korrespondierend wird die Aufgabe für das Kühlstreckenmodell dadurch gelöst, dass es zur Ermittlung des Temperaturverlaufs im Walzgut eine Wärmeleitungsgleichung der Form
Die obige Gleichung ist noch in üblicher Form um Anfangs- und Randbedingungen zu ergänzen. Diese Ergänzungen erfolgen in gleicher Weise wie auch beim Stand der Technik allgemein üblich und bekannt. Auf die Ergänzungen wird daher nachfolgend nicht weiter eingegangen.The above equation is still in the usual form to complement initial and boundary conditions. These additions are made in the same way as well as in the prior art, common practice and known. The additions will therefore not be discussed further below.
Der erfindungsgemäße Lösungsansatz fußt auf dem Prinzip der Energieerhaltung. Die Fouriersche Wärmeleitungsleitung ist daher mit der Enthalpie als Zustandsgröße und der Temperatur als von der Enthalpie abhängige Größe formuliert. Wärmequellen werden ersichtlich nicht benötigt. Sie müssen also auch nicht mehr parametriert werden.The approach according to the invention is based on the principle of energy conservation. The Fourier heat conduction line is therefore formulated with the enthalpy as a state variable and the temperature as the size dependent on the enthalpy. heat sources are obviously not needed. They do not have to be parameterized any more.
Aufgrund des nunmehr korrekten Ansatzes für die Wärmeleitungsgleichung stellen der Phasenumwandlungsgrad und die Enthalpie Zustandsgrößen dar, die numerisch parallel berechenbar sind.Due to the now correct approach for the heat equation, the phase transformation degree and the enthalpy represent state variables that can be numerically calculated in parallel.
Die obige Lösung gilt unabhängig vom Profil des zu kühlenden Walzguts. Wenn das Walzgut ein Metallband ist, ergibt sich im wesentlichen ein Wärmefluss nur in Richtung der Banddicke. In Bandlaufrichtung und in Bandbreitenrichtung hingegen erfolgt nur ein vernachlässigbar geringer Wärmefluss. Es ist daher möglich, den Rechenaufwand dadurch zu verringern, dass die Wärmeleitungsgleichung statt dreidimensional nur noch eindimensional betrachtet wird. In diesem Fall kann also die Wärmeleitungsgleichung zu
Die Modellierung ist noch besser, wenn für die Walzgutstelle hinter der Kühlstrecke eine Endtemperatur erfasst wird. Denn dann ist es insbesondere möglich, das Kühlstreckenmodell anhand eines Vergleichs der erfassten Endtemperatur mit einer anhand des erwarteten zeitlichen Temperaturverlaufs ermittelten erwarteten Endtemperatur zu adaptieren. Somit kann das Modell anhand der tatsächlich erfassten Endtemperatur optimiert werden.The modeling is even better if a final temperature is recorded for the rolling stock behind the cooling section. Because then it is in particular possible to adapt the cooling line model based on a comparison of the detected end temperature with a determined based on the expected temporal temperature profile expected end temperature. Thus, the model can be optimized based on the actual detected final temperature.
Im Rahmen des Kühlstreckenmodells ist es erforderlich, auch den Phasenumwandlungsgrad zu ermitteln. Dies kann auf verschiedene Art und Weise erfolgen. Beispielsweise ist es möglich, den Phasenumwandlungsgrad gemäß der Scheilschen Regel zu ermitteln. Es ist beispielsweise auch möglich, dass der Phasenumwandlungsgrad (p) im Kühlstreckenmodell anhand einer Differenzialgleichung der Form
h ist eine Funktion wie sie z. B. in Gleichung 2 auf Seite 144 des Artikels "
Weitere Vorteile und Einzelheiten ergeben sich aus der nachfolgenden Beschreibung eines Ausführungsbeispiels in Verbindung mit den Zeichnungen. Dabei zeigen in Prinzipdarstellung
- FIG 1
- eine Kühlstrecke mit einem Metallband,
- FIG 2
- ein Kühlstreckenmodell,
- FIG 3
- die Wärmeleitfähigkeit als Funktion der Enthalpie für zwei verschiedene Phasenumwandlungsgrade,
- FIG 4
- die Temperatur als Funktion der Enthalpie für zwei verschiedene Phasenumwandlungsgrade und
- FIG 5
- ein Wärmeleitungsmodell.
- FIG. 1
- a cooling section with a metal band,
- FIG. 2
- a cooling line model,
- FIG. 3
- the thermal conductivity as a function of enthalpy for two different phase transformation degrees,
- FIG. 4
- the temperature as a function of enthalpy for two different phase transformation degrees and
- FIG. 5
- a heat conduction model.
Gemäß FIG 1 läuft ein warmgewalztes Walzgut 1 mit einer Walzgeschwindigkeit v in einer Bandlaufrichtung z aus einem Walzgerüst 2 aus. Hinter dem Walzgerüst 2 ist ein Walzgerüst-Temperaturmessplatz 3 angeordnet. Im Walzgerüst-Temperaturmessplatz 3 wird für eine Walzgutstelle eine Anfangstemperatur T1 an der Oberfläche des Walzgutes 1 erfasst und einem Kühlstreckenmodell 4 als Eingangsparameter zugeführt.According to FIG. 1, a hot-rolled
Gemäß FIG 1 ist das Walzgut 1 ein Metallband, z. B. ein Stahlband. Es weist daher in einer Breitenrichtung y eine Walzgutbreite b und in einer Dickenrichtung x eine Walzgutdicke d auf. Walzgutbreite b und Walzgutdicke d ergeben zusammen den Walzgutquerschnitt des Walzgutes 1.According to FIG 1, the rolling
Die Anfangstemperatur T1 des Walzgutes 1 kann quer über die Bandbreite b variieren. Der Walzgut-Temperaturmessplatz 3 ist daher vorzugsweise derart ausgebildet, dass die Anfangstemperatur T1 quer über die Bandbreite b mehrfach erfasst werden kann. Beispielsweise können hierzu mehrere, quer über die Bandbreite b angeordnete Temperatursensoren vorgesehen sein. Auch ist es möglich, einen Temperatursensor vorzusehen, dem eine Optik vorgeschaltet ist, mittels deren in Bandbreitenrichtung y ein Abscannen möglich ist.The initial temperature T1 of the
Hinter dem Walzgerüst-Temperaturmessplatz 3 ist eine Kühlstrecke 5 angeordnet. Die Kühlstrecke 5 weist Kühlvorrichtungen 6 auf, mittels derer ein Kühlmittel 7, typischerweise Wasser 7, von oben, von unten oder von beiden Seiten auf das Walzgut 1 aufbringbar ist. Die Art der Aufbringung ist dabei an das zu walzende Profil angepasst.Behind the rolling stand temperature measuring station 3, a
Hinter der Kühlstrecke 5 ist ein Haspel-Temperaturmessplatz 8 angeordnet. Mit diesem ist für die Walzgutstelle eine korrespondierende Endtemperatur T2 erfassbar, die ebenfalls dem Kühlstreckenmodell 4 zugeführt wird. Der Haspel-Temperaturmessplatz 8 ist ebenso ausgebildet wie der Walzgerüst-Temperaturmessplatz 3.Behind the
Dem Haspel-Temperaturmessplatz 8 ist ein Haspel 9 nachgeordnet. Auf diesem wird das Metallband 1 aufgehaspelt.The reel temperature measuring station 8 is followed by a
Die Anordnung des Haspels 9 ist typisch beim Walzen von Bändern. Beim Walzen von Profilen ist anstelle des Haspels 9 üblicherweise eine andere Einheit vorgesehen, z. B. bei Drahtwalzstraßen ein Windungsleger.The arrangement of the
Das Walzgut 1 soll bei Erreichen des Haspels 9 eine vorbestimmte Temperatur und gewünschte Soll-Gefügeeigenschaften G* aufweisen. Hierzu ist es erforderlich, dass das Metallband 1 zwischen Walzgerüst 2 und Haspel 9 einen korrespondierenden Temperaturverlauf aufweist. Dieser Temperaturverlauf wird mittels des Kühlstreckenmodells 4 errechnet.The rolling
Dem Kühlstreckenmodell 4 werden gemäß den FIG 1 und 2 verschiedene Werte zugeführt. Zunächst wird dem Kühlstreckenmodell 4 die Walzgeschwindigkeit v zugeführt. Aufgrund dieser Tatsache ist insbesondere eine Materialverfolgung durchführbar.According to FIGS. 1 and 2, different values are supplied to the
Sodann werden dem Kühlstreckenmodell 4 die Banddicke d, die Anfangstemperatur T1 sowie verschiedene Parameter PAR zugeführt. Die Parameter PAR umfassen insbesondere Ist- und Sollparameter des Bandes 1. Ein Istparameter ist beispielsweise die Legierung des Metallbandes 1 oder dessen Bandbreite b. Ein Sollparameter ist beispielsweise die gewünschte Haspel-temperatur.Then, the
Das Kühlstreckenmodell 4 umfasst gemäß FIG 2 ein Wärmeleitungsmodell 10, ein Wärmeübergangsmodell 11 und einen Kühlmittelmengenverlaufsermittler 12. Das Kühlstreckenmodell 4 ermittelt dann einen erwarteten zeitlichen Temperaturverlauf Tm(t). Der erwartete Temperaturverlauf Tm(t) wird mit einem Solltemperaturverlauf T*(t) verglichen. Das Vergleichsergebnis wird dem Kühlmittelmengenverlaufsermittler 12 zugeführt. Dieser ermittelt dann anhand der Differenz einen neuen Kühlmittelmengenverlauf, um den erwarteten Temperaturverlauf Tm(t) an den Solltemperaturverlauf T*(t) anzunähern.The cooling
Nach erfolgter Anpassung werden dann die Kühlvorrichtungen 6 der Kühlstrecke 5 vom Kühlmengenverlaufsermittler 12 entsprechend angesteuert. Das Kühlmittel 7 wird also auf die betreffende Walzgutstelle gemäß dem ermittelten zeitlichen Kühlmittelmengenverlauf aufgebracht.After the adjustment, the
Zur Ermittlung des erwartenden Temperaturverlaufs Tm(t) wird im Wärmeleitungsmodell 10 eine Wärmeleitungsgleichung gelöst. Die Wärmeleitungsgleichung weist die Form
Zur korrekten Lösung der Wärmeleitungsgleichung muss ferner der Phasenumwandlungsgrad p und dessen zeitlicher Verlauf ermittelt werden. Dies erfolgt vorzugsweise anhand einer Differenzialgleichung der Form
Obige Gleichungen müssen an der Walzgutstelle für den gesamten Walzgutquerschnitt gelöst werden. Ferner muss gegebenenfalls auch der Wärmefluss in Bandlaufrichtung z berücksichtigt werden.The above equations must be solved at the Walzgutstelle for the entire Walzgutquerschnitt. Furthermore, where appropriate, the heat flow in the direction of strip z must be taken into account.
Der Zusammenhang λ(e,p) kann in den Gleichungen z. B. durch die Funktion
Der Zusammenhang T(e,p) kann z. B. durch die Funktion
Solange das Metallband 1 noch nicht den Haspel-Temperaturmessplatz 8 erreicht hat, steht als Temperaturistwert lediglich die Anfangstemperatur T1 zur Verfügung. Sobald hingegen auch die Endtemperatur T2 erfassbar ist, kann diese mit einer aufgrund der vorherigen Berechnung erwarteten Endtemperatur T2m verglichen werden. Das Vergleichsergebnis wird einem Adaptionselement 13 zugeführt. Mittels des Adaptionselements 13 ist beispielsweise das Wärmeübergangsmodell 13 adaptierbar.As long as the
Bei dem in FIG 2 dargestellten und oben stehend erläuterten Kühlstreckenmodell 4 wird im Rahmen des Wärmeleitungsmodells 10 die Wärmeleitungsgleichung
Claims (14)
- Method for cooling a hot-rolled material (1) having a rolled-material cross section, in particular a metal strip (1), e.g. a steel strip (1), in a cooling line (5), comprising the following steps:- a starting temperature (T1) is recorded for a rolled-material location upstream of the cooling line (5),- a temporal quantitative coolant profile is determined on the basis of a cooling-line model (4) and predetermined desired properties of the rolled material (1),- a coolant (7) is applied to the rolled-material location in accordance with the temporal quantitative coolant profile which has been determined, and- an expected temporal temperature profile (Tm(t)) of the rolled material (1) at the rolled-material location across the rolled-material cross section is determined on the basis of the cooling-line model (4) and the temporal quantitative coolant profile,characterized
in that a heat conduction equation of the following form
where e is the enthalpy, λ the thermal conductivity, p the degree of phase transformation, ρ the density and T the temperature of the rolled material at the rolled-material location and t is the time, is solved in the coolant-line model (4) in order to determine the temperature profile (Tm(t)) in the rolled material (1). - Cooling method according to claim 1, characterized
in that a finishing temperature (T2) is recorded for the rolled-material location downstream of the cooling line (5). - Cooling method according to claim 2, characterized
in that the cooling-line model (4) is adapted on the basis of a comparison between the recorded finishing temperature (T2) and an expected finishing temperature (T2m), which is determined on the basis of the expected temporal temperature profile (Tm(t)). - Method for cooling a hot-rolled metal strip (1), in particular a steel strip (1), having a strip thickness (d), in a cooling line (5), comprising the following steps:- a starting temperature (T1) is recorded for a strip location upstream of the cooling line (5),- a temporal quantitative coolant profile is determined on the basis of a cooling-line model (4) and predetermined desired properties of the metal strip (1),- a coolant (7) is applied to the strip location in accordance with the temporal quantitative coolant profile which has been determined, and- an expected temporal temperature profile (Tm(t)) of the metal strip (1) at the strip location across the strip thickness (d) is determined on the basis of the cooling-line model (4) and the temporal quantitative coolant profile,characterized in that a heat conduction equation of the following form
where e is the enthalpy, x the position in the strip thickness direction, λ the thermal conductivity, p the degree of phase transition, ρ the density and T the temperature of the metal strip (1) at the strip location and t is the time, is solved in the cooling-line model (4) in order to determine the temperature profile (Tm(t)) in the metal strip (1). - Cooling method according to claim 4, characterized in that a finishing temperature (T2) is recorded for the strip location downstream of the cooling line (5).
- Cooling method according to claim 5, characterized in that the cooling-line model (5) is adapted on the basis of a comparison between the recorded finishing temperature (T2) and an expected finishing temperature (T2m) which is determined on the basis of the expected temporal temperature profile (Tm(t)).
- Cooling-line model for a hot-rolled material (1) which is to be cooled in a cooling line (5) and has a rolled-material cross section, in particular a metal strip (1), e.g. a steel strip (1), in which- a starting temperature (T1), recorded upstream of the cooling line (5), of a rolled-material location can be fed to the cooling-line model (4),- a temporal quantitative coolant profile can be determined by means of the cooling-line model (4) on the basis of predetermined desired properties of the rolled material (1),- an expected temporal temperature profile (Tm (t)) of the rolled material (1) at the rolled-material location across the rolled-material cross section can be determined by means of the cooling-line model (4) and the temporal quantitative coolant profile,characterized in that the cooling-line model (4), in order to determine the temperature profile (Tm(t)) in the rolled material (1), includes a heat conduction equation of the following form
where e is the enthalpy, λ the thermal conductivity, p the degree of phase transformation, ρ the density and T the temperature of the rolled material at the rolled-material location and t is the time. - Cooling-line model according to claim 8,
characterized in that it can be fed a finishing temperature (T2), recorded downstream of the cooling line (5), of the rolled-material location. - Cooling method according to claim 9, characterized in that the cooling-line model (4) can be adapted on the basis of a comparison between the recorded finishing temperature (T2) and an expected finishing temperature (T2m), which is determined on the basis of the expected temporal temperature profile (Tm(t)).
- Cooling-line model for a hot-rolled metal strip (1) which is to be cooled in a cooling line (5) and has a strip thickness (d), in particular a steel strip (1), in which- a starting temperature (T1), recorded downstream of the cooling line (5), of a strip location can be fed to the cooling-line model (4),- a temporal quantitative coolant profile can be determined by means of the cooling-line model (4) on the basis of predetermined desired properties of the metal strip (1),- an expected temporal temperature profile (Tm(t)) of the metal strip (1) at the strip location across the strip thickness (d) can be determined by means of the cooling-line model (4) and the temporal quantitative coolant profile,characterized in that the cooling-line model (4), in order to determine the temperature profile (Tm(t)) in the metal strip (1), includes a heat conduction equation which takes the following form
where e is the enthalpy, x the position in the strip thickness direction, λ the thermal conductivity, p the degree of phase transformation, ρ the density and T the temperature of the metal strip (1) at the strip location and t is the time. - Cooling-line model according to claim 11, characterized in that it can be fed a finishing temperature (T2), recorded downstream of the cooling line (5), of the strip location.
- Cooling method according to claim 12, characterized in that the cooling-line model (4) can be adapted on the basis of a comparison between the recorded finishing temperature (T2) and an expected finishing temperature (T2m) which has been determined on the basis of the expected temporal temperature profile (Tm(t)).
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE10129565 | 2001-06-20 | ||
DE10129565A DE10129565C5 (en) | 2001-06-20 | 2001-06-20 | Cooling method for a hot-rolled rolling stock and corresponding cooling line model |
PCT/DE2002/002077 WO2003000940A1 (en) | 2001-06-20 | 2002-06-07 | Cooling method for a hot-rolled product and a corresponding cooling-section model |
Publications (3)
Publication Number | Publication Date |
---|---|
EP1397523A1 EP1397523A1 (en) | 2004-03-17 |
EP1397523B1 true EP1397523B1 (en) | 2007-08-08 |
EP1397523B2 EP1397523B2 (en) | 2010-08-11 |
Family
ID=7688717
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP02748572A Expired - Lifetime EP1397523B2 (en) | 2001-06-20 | 2002-06-07 | Cooling method for a hot-rolled product and a corresponding cooling-section model |
Country Status (9)
Country | Link |
---|---|
US (1) | US6860950B2 (en) |
EP (1) | EP1397523B2 (en) |
JP (1) | JP4287740B2 (en) |
CN (1) | CN1243617C (en) |
AT (1) | ATE369443T1 (en) |
DE (2) | DE10129565C5 (en) |
ES (1) | ES2289120T5 (en) |
NO (1) | NO20030561L (en) |
WO (1) | WO2003000940A1 (en) |
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CN103619501A (en) * | 2011-06-27 | 2014-03-05 | 西门子公司 | Method for controlling a hot strip rolling line |
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DE68928639T2 (en) * | 1989-06-16 | 1998-07-30 | Kawasaki Steel Corp., Kobe, Hyogo | METHOD FOR CONTROLLING THE COOLING OF STEEL MATERIAL |
DE19740691A1 (en) | 1997-09-16 | 1999-03-18 | Siemens Ag | Method and apparatus for metal cooling in steelworks |
DE19850253A1 (en) * | 1998-10-31 | 2000-05-04 | Schloemann Siemag Ag | Method and system for controlling cooling sections |
-
2001
- 2001-06-20 DE DE10129565A patent/DE10129565C5/en not_active Expired - Fee Related
-
2002
- 2002-06-07 WO PCT/DE2002/002077 patent/WO2003000940A1/en active IP Right Grant
- 2002-06-07 JP JP2003507320A patent/JP4287740B2/en not_active Expired - Fee Related
- 2002-06-07 AT AT02748572T patent/ATE369443T1/en active
- 2002-06-07 CN CN02802165.7A patent/CN1243617C/en not_active Expired - Lifetime
- 2002-06-07 ES ES02748572T patent/ES2289120T5/en not_active Expired - Lifetime
- 2002-06-07 EP EP02748572A patent/EP1397523B2/en not_active Expired - Lifetime
- 2002-06-07 DE DE50210648T patent/DE50210648D1/en not_active Expired - Lifetime
-
2003
- 2003-02-04 NO NO20030561A patent/NO20030561L/en not_active Application Discontinuation
- 2003-02-20 US US10/369,951 patent/US6860950B2/en not_active Expired - Lifetime
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103619501A (en) * | 2011-06-27 | 2014-03-05 | 西门子公司 | Method for controlling a hot strip rolling line |
CN103619501B (en) * | 2011-06-27 | 2016-01-20 | 西门子公司 | For the control method of hot-rolled band production line |
EP3099430B1 (en) | 2014-01-28 | 2017-11-01 | Primetals Technologies Germany GmbH | Cooling section with dual cooling to a particular target value |
Also Published As
Publication number | Publication date |
---|---|
US20040006998A1 (en) | 2004-01-15 |
JP4287740B2 (en) | 2009-07-01 |
DE10129565C5 (en) | 2007-12-27 |
NO20030561D0 (en) | 2003-02-04 |
JP2004530793A (en) | 2004-10-07 |
EP1397523B2 (en) | 2010-08-11 |
US6860950B2 (en) | 2005-03-01 |
DE10129565A1 (en) | 2003-01-09 |
CN1463293A (en) | 2003-12-24 |
CN1243617C (en) | 2006-03-01 |
DE10129565B4 (en) | 2004-01-29 |
WO2003000940A1 (en) | 2003-01-03 |
ES2289120T5 (en) | 2011-01-27 |
ES2289120T3 (en) | 2008-02-01 |
NO20030561L (en) | 2003-02-04 |
EP1397523A1 (en) | 2004-03-17 |
DE50210648D1 (en) | 2007-09-20 |
ATE369443T1 (en) | 2007-08-15 |
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