EP1322433B1 - Sheet width control method in hot rolling - Google Patents

Sheet width control method in hot rolling Download PDF

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Publication number
EP1322433B1
EP1322433B1 EP01972693A EP01972693A EP1322433B1 EP 1322433 B1 EP1322433 B1 EP 1322433B1 EP 01972693 A EP01972693 A EP 01972693A EP 01972693 A EP01972693 A EP 01972693A EP 1322433 B1 EP1322433 B1 EP 1322433B1
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EP
European Patent Office
Prior art keywords
rolling
sheet width
rolling mill
distribution
longitudinal direction
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EP01972693A
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German (de)
English (en)
French (fr)
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EP1322433A2 (en
Inventor
Tsuyoshi NIPPON STEEL CORP.Tech.Development HIGO
Atsushi NIPPON STEEL CORP.Tech.Development ISHII
Kenji NIPPON STEEL CORP.Tech.Development YAMADA
Shigeru NIPPON STEEL CORP.Tech.Development OGAWA
Kazuhiko NIPPON STEEL CORP.Tech.Devel. KISHI
Yasuyuki NIPPON STEEL CORP.Tech.Devel. TAKAMACHI
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Nippon Steel Corp
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Nippon Steel Corp
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Priority claimed from JP2000305415A external-priority patent/JP3679699B2/ja
Priority claimed from JP2001029158A external-priority patent/JP2002224723A/ja
Application filed by Nippon Steel Corp filed Critical Nippon Steel Corp
Publication of EP1322433A2 publication Critical patent/EP1322433A2/en
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B37/00Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/16Control of thickness, width, diameter or other transverse dimensions
    • B21B37/22Lateral spread control; Width control, e.g. by edge rolling
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B1/00Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations
    • B21B1/22Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length
    • B21B1/24Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length in a continuous or semi-continuous process
    • B21B1/26Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length in a continuous or semi-continuous process by hot-rolling, e.g. Steckel hot mill

Definitions

  • This invention relates to a sheet width control method in hot rolling and a learning method for a sheet width change estimation system.
  • a sheet width in hot rolling changes depending on various factors in a roughing rolling mill train, a finishing rolling mill train, between finishing rolling mill stands, and on a run-out table from the finishing rolling mill train to a coiler.
  • a known sheet width control method measures, or calculates by estimation, the sheet width change amounts described above, controls gap of a vertical rolling mill disposed on the entry side of a roughing horizontal rolling mill or a finish rolling mill and thus controls the sheet width.
  • Japanese Unexamined Patent Publication (Kokai) No. 60-203315 measures the sheet width by a sheet width meter arranged at the entry side of a coiler or on the delivery side of a finishing rolling mill, controls gap of a roughing vertical rolling mill on the basis of the measurement value, and controls the sheet width.
  • 2,968,637 divides the sheet width change in.,finishing rolling into a change resulting from rolling deformation and a change resulting from creep deformation, and calculates the sheet width by use of a sheet thickness of a rolling material, a reduction, a tension between stands, deformation resistance of the rolling material, a rolling material temperature, a strip running time between stands and a sheet crown ratio change amount as estimation parameters of the sheet width change of rolling material. Further, the method described in Japanese Unexamined Patent Publication (Kokai) No.
  • 62-68617 estimates and learns a width change of a successive rolling material by use of a width change amount due to necking on a run-out table and actual measurement values of a position and a length, and broadens the width of a corresponding portion of a bar to be rough rolled to an amount corresponding to the width change by using a vertical rolling mill.
  • Japanese Unexamined Patent Publication (Kokai) No. 54-149357 discloses a sheet width control method that calculates a sheet width change in a rolling mill train on the basis of a rolling condition and a rolling material temperature, controls roll gap of a vertical rolling mill so that a product width becomes constant on the delivery side of a finishing rolling mill train, and controls the sheet width.
  • thermometer and a sheet width meter arranged on the entry side of a vertical rolling mill measure the temperature of the rolling material and its sheet width on the entry side of the vertical rolling mill set as the control object for controlling the sheet width. Therefore, it is essentially necessary to arrange the thermometer and the sheet width meter on the entry side of the vertical rolling mill set as the control object.
  • Japanese Unexamined Patent Publication (Kokai) No. 11-285718 discloses a method that estimates and calculates all the sheet width changes occurring in a final roll stand of roughing rolling mills on the downstream side to a vertical rolling mill set as the control object and on a run-out table at each position of a front end portion, a tail end portion and a middle portion in a longitudinal direction, and sets and controls in advance a distribution of a gap pattern of the vertical rolling mill in the longitudinal direction.
  • the method that executes the feedback control on the basis of the sheet width control cannot conduct the high precision sheet width control of the front end and the tail end portions and at a skid mark portion because the detection end is spaced apart from the control end a control lag occurs.
  • the method that executes the feed-forward control on the basis of the estimated calculation values must estimate, very accurately, all the sheet width changes occurring in roughing and finishing rolling mill train on the delivery side of the vertical rolling mill for controlling the sheet width, and on the run-out table, and must set in advance the gap of the vertical rolling mill on the basis of the estimated values.
  • the sheet width estimation formula used for the sheet width control is the one that is determined from the examination results of specific steel kinds or typical steel kinds by, for example, experiments in a laboratory, experiments in an actual setup or numerical analysis. Since the behavior of the sheet width change is varied in the rolling mill, between the rolling mills and on the run-out table depending on the kinds of the component elements of the rolling material, however, the estimation error of the sheet width change is likely to become great.
  • the present invention provides a sheet width control method in hot rolling for obtaining a high precision sheet width control effect that calculates a sheet width distribution of a rolling material along a longitudinal direction on the entry side of a vertical rolling mill set as the object for controlling sheet width, calculates a distribution of a sheet width change amount of the rolling material along the longitudinal direction occurring on the delivery side of a vertical rolling mill set as the object for controlling the sheet width in a rolling direction, and calculates and controls roll gap of a vertical rolling mill set as the object for controlling the sheet width along the longitudinal direction of the rolling material on the basis of the sheet width distribution of the rolling material along the longitudinal direction that is determined from the distribution of the sum of the calculated sheet width change amounts along the longitudinal direction and on the basis of a final target sheet width.
  • the present inventors have compared a calculated value by a conventional sheet width change estimation formula with an actual measured value for a rolling material containing various component elements at the time of the actual rolling operation, have examined the influences of the component elements on the sheet width changes, and has thus clarified the relation between the contents of these component elements and the sheet width change amount.
  • the present inventors have devised a sheet width control method that can be applied to various steel kinds by use of a correction coefficient and a correction term as functions of the component elements for the conventional sheet width change estimation formula without conducting complicated and troublesome operations of developing a sheet width change estimation formula for each steel kind.
  • the present inventors have invented a method of learning the correction coefficient and the correction term of the sheet width change estimation formula based on the sheet width actual measured value.
  • the first embodiment of the present invention for accomplishing the objects described above is a sheet width control method in hot rolling comprising the steps of: measuring a sheet width distribution of a rolling material along a longitudinal direction and a temperature of the rolling material when the rolling material exists on the upstream side of a vertical rolling mill set as the object for controlling the sheet width along a rolling direction; calculating the temperature of the rolling material in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width from the temperature of the rolling material so measured; calculating a distribution of a sheet width change amount of the rolling material along the longitudinal direction occurring in each rolling pass on the upstream side of the vertical rolling mill set as the object for controlling the sheet width in a rolling direction on the basis of the temperature of the rolling material so calculated and the sheet width distribution of the rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of the rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width; calculating the temperature of the rolling material in each rolling
  • the second embodiment comprises the steps of: measuring the sheet width distribution of the rolling material along the longitudinal direction and the temperature distribution of the rolling material along the longitudinal direction when the rolling material exists on the upstream side of a vertical rolling mill set as the object for controlling the sheet width along the rolling direction; calculating the temperature distribution of the rolling material along the longitudinal direction in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction from the temperature distribution of the rolling material along the longitudinal direction so measured; and calculating the distribution of the sheet width change amount of the rolling material along the longitudinal direction occurring in each rolling pass on the upstream side of the vertical rolling mill set as the object for controlling the sheet width on the basis of the temperature distribution of the rolling material along the longitudinal direction so calculated and the sheet width distribution of the rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of the rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
  • the third embodiment comprises the steps of: measuring the sheet width distribution of the rolling material along the longitudinal direction and the temperature distribution of the rolling material along the transverse direction when the rolling material exists on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction; calculating the temperature distribution of the rolling material along the transverse direction in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction from the temperature distribution of the rolling material along the transverse direction so measured; and calculating the distribution of the sheet width change amount of the rolling material along the longitudinal direction occurring in each rolling pass on the upstream side of the vertical rolling mill set as the object for controlling the sheet width on the basis of the temperature distribution of the rolling material along transverse direction so calculated to thereby calculate the sheet width distribution of the rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
  • the fourth embodiment comprises the steps of: measuring the sheet width distribution of the rolling material along the longitudinal direction and the temperature distribution of the rolling material in both longitudinal and transverse directions when the rolling material exists on the upstream side of a vertical rolling mill set as the object for controlling the sheet width along the rolling direction; calculating the temperature distributions of the rolling material in both longitudinal and transverse directions in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction from the temperature distributions of the rolling material in both longitudinal and transverse directions so measured; and calculating the distribution of the sheet width change amount of the rolling material along the longitudinal direction occurring in each rolling pass on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction on the basis of the temperature distributions of the rolling material in both longitudinal and transverse directions so calculated and the sheet width distribution of the rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of the rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
  • the sheet width distribution of the rolling material along the longitudinal direction on the entry side of a vertical rolling mill set as the object for controlling the sheet width can be calculated highly accurately by measuring the temperature distribution along the longitudinal direction as the temperature information of the rolling material in the second embodiment, by measuring the temperature distribution in the transverse direction as the temperature information of the rolling material in the third embodiment, and by measuring the temperature distributions in both longitudinal and transverse directions as the temperature information of the rolling material in the fourth embodiment.
  • the fifth embodiment comprises the steps of: measuring a temperature distribution of a rolling material in at least one of longitudinal and transverse directions and a sheet width distribution of the rolling material along a longitudinal direction when the rolling material exists on the upstream side of a vertical rolling mill set as the object for controlling the sheet width along a rolling direction; calculating the temperature distribution of the rolling material in at least one of the longitudinal and transverse directions in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along a rolling direction from the temperature distributions of the rolling material in at least one of the longitudinal and transverse directions so measured; calculating a distribution of a sheet width change amount of the rolling material along the longitudinal direction occurring in each rolling pass on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction on the basis of the temperature distribution of the rolling material in at least one of the longitudinal and transverse directions so calculated and the sheet width distribution of the rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of the rolling material along the longitudinal direction
  • the fifth embodiment measures the temperature distribution of the rolling material in at least one of the longitudinal and transverse directions as the temperature information, and calculates the temperature distribution of the rolling material in at least one of the longitudinal and transverse directions in each rolling mill and between the rolling mills on the downstream side of a vertical rolling mill set as the object for controlling the sheet width, in a zone from the final roll stand of finishing rolling mill train to the coiler and in a zone from the coiler to a cooling finish point.
  • the fifth embodiment can calculate more precisely the distribution of the sheet width change amounts of the rolling material along the longitudinal direction occurring in each rolling pass and between the rolling mills on the downstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction, in the zone from the final stand of finishing rolling mill to the coiler and in the zone from the coiler to the cooling finish point.
  • the sixth embodiment measures the sheet width distribution of the rolling material along the longitudinal direction and the temperature distribution of the rolling material in at least one of the longitudinal and transverse directions on the entry side of a vertical rolling mill set as the object for controlling the sheet width.
  • the sixth embodiment described above measures the sheet width distribution of the rolling material along the longitudinal direction and the temperature distribution of the rolling material in at least one of the longitudinal and transverse directions on the entry side of the vertical rolling mill set as the object for controlling the sheet width. Therefore, the sixth embodiment can reduce the estimation error of the sheet width distribution of the rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
  • the seventh embodiment controls a tension between rolling mills of a finish rolling mill train and thus.controls the sheet width.
  • the sheet width control by means of the tension control between the rolling mills of the finishing rolling mill train supplements the sheet width control by a vertical rolling mill set as the object for controlling the sheet width
  • the sheet width can be controlled more precisely.
  • the eighth embodiment arranges the control of the upstream side of the vertical rolling mill set as the control object to the first roll stand of the horizontal finishing rolling mill train along the rolling direction.
  • the vertical rolling mill set as the control object is arranged on the upstream side to the first horizontal roll stand of the finishing rolling mill train along the rolling direction, width reduction by the vertical rolling mill can be carried out at a stand where the sheet thickness of the rolling material is greater, and buckling deformation of the rolling material resulting from the width reduction can be prevented. Therefore, the sheet control can be conducted more efficiently.
  • the ninth embodiment calculates separately the sheet width change amounts of the rolling material in each rolling pass for a front end portion, a middle portion and a tail end portion.
  • the tenth embodiment calculates separately the sheet width change amounts of the rolling material in each rolling pass on the entry side, inside and the delivery side of the roll bite of the rolling mill.
  • the sheet width change amounts of the rolling material in each rolling pass can be estimated more precisely because the ninth embodiment calculates separately the sheet width change amounts for the front end portion, the middle portion and the tail end portion, and because the tenth embodiment calculates there separately on the entry side of the roll bite, inside the roll bite and the delivery side of the roll bite.
  • the eleventh embodiment provides a sheet width control method for using either one, or both, of a correction coefficient and a correction term expressed as functions of contents of component elements of the rolling material based on a sheet width estimation formula of the sheet to be rolled.
  • the twelfth embodiment provides a sheet width control method wherein the correction coefficient and the correction term for correcting the sheet width change estimation formula are separately calculated for a sheet width change resulting from plastic deformation and a sheet width change resulting from creep deformation.
  • the thirteenth embodiment provides a sheet width control method wherein the correction coefficient and the correction term for correcting the sheet width change estimation formula are separately calculated for a value before the phase transformation of the rolling material and a value after the, phase transformation.
  • the fifteenth embodiment provides a method of sheet width control comprising the steps of learning the correction coefficient and/or the correction term of the sheet width change estimation formula used in the sheet width control on the basis of the actual measured value of the temperature and/or the actual measured value of the sheet crown between the finishing rolling mills and/or on the delivery side of the finishing rolling mill.
  • the definitions of the terms are as follows.
  • horizontal rolling mill or “vertical rolling mill”
  • rolling mill is merely employed, it means only the horizontal rolling mill or only the vertical rolling mill, or both of the horizontal and vertical rolling mills.
  • finishing rolling mill train it means a plurality of only horizontal roll stand of finishing rolling mills, or a plurality of horizontal and a vertical roll stand of finishing rolling mill train.
  • the vertical rolling mill set as the object for controlling the sheet width may be arranged at an arbitrary position of the rough rolling mill train or the finish rolling mill train.
  • the vertical mill set as the object for controlling the sheet width may be an arbitrary vertical rolling mill inside the rough rolling mill train or an edger between stands inside the finish rolling mill train.
  • a width reduction machine such as a sizing press may be set as the object for controlling the sheet width.
  • temperature means a mean temperature or a temperature at an arbitrary point.
  • the inventors of the present invention have conducted numerous theoretical and experimental studies on the behavior of a sheet width change in a hot rolling process, and have acquired the following knowledge.
  • the sheet width change in the hot rolling process occurs in each rolling pass and between rolling mills, on a run-out table from a final roll stand of finishing rolling mill train to a coiler, and in a zone from the coiler to the coaling finish point.
  • the sheet width change behavior in the hot rolling process can be estimated very accurately.
  • This sheet width change is greatly affected by the conditions on the rolling mill side such as a draft schedule, a crown schedule, a diameter of each roll, a roll peripheral speed of each rolling mill, tension between the rolling mills, rigidity of each rolling mill, etc, by the conditions on the side of a cooling apparatus on the run-out table such as a quantity of cooling water and a cooling pattern, by the conditions on the coiler side such as a coiling speed of the coiler, and by the conditions on the side of a rolling material such as a kind of a steel (components), a sheet width, a sheet thickness, a sheet crown, a temperature, a distance of a corresponding portion from a front end or tail end of the rolling material, and so forth.
  • the roll gap of the vertical rolling mill and the tension between the rolling mills can be the control end of the sheet width control but within the sheet control range where the rolling operation of the vertical rolling mill is greater than the tension between the rolling mills, buckling deformation of the rolling material occurs with width reduction as the sheet thickness of the rolling material becomes smaller.
  • the sheet width change amounts calculated and measured in the actual rolling mill are compared for each material component, influences of the material components on the sheet width change are examined.
  • the sheet width change amount in the actual rolling mill is determined from the difference of the sheet width measured by a sheet width meter arranged on the entry side and the delivery side of the finishing rolling mill train.
  • the sheet width change amounts at each stand and between the stands are calculated and the sheet width change amounts are compared with the actual measured valuer of the sheet width change amount described above.
  • the deformation resistance value of the rolling material is inversely calculated from the rolling load that is actually measured.
  • FIGS. 8(a) to 8(c) show the relation between the difference the actual measured value and the calculated value of the sheet width change amount and the content of the component elements of the material. It can be understood from these graphs that the difference between the actual measured value and the calculated value of the sheet width change amount increases or decreases depending on the amounts of various component elements.
  • the deformation resistance value in the model formulas uses the inverted calculation value from the actual measurement load. It is therefore believed that the difference depending on the component elements mainly results from the difference of creep deformation characteristics. In other words, the sheet width change between the stands is the change that results from the creep deformation.
  • the distribution of the sheet width of the rolling material along the longitudinal direction and the temperature of the rolling material are measured at the point of time when the rolling material exists on the upstream side relative to the vertical rolling mill set as the object for controlling the sheet width along the rolling direction.
  • the temperatures of the rolling material at each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction are calculated from the temperature information of the rolling material thus measured.
  • the temperature distribution of the rolling material along the longitudinal direction is measured, and the temperature distribution of the rolling material along the longitudinal direction in each rolling mill and between the rolling mills upstream of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction is preferably calculated.
  • the temperature distribution of the rolling material along the transverse direction is preferably calculated, and the temperature distribution of the rolling material along the transverse direction in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction is preferably calculated as described in the third embodiment.
  • the temperature distributions of the rolling material in both longitudinal and transverse directions are preferably measured, and the temperature distributions of the rolling material in both longitudinal and transverse directions in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction are preferably calculated.
  • the vertical rolling mill which set as the object for controlling the sheet width is preferably arranged on the upstream side of the first horizontal roll stand of the finishing rolling mill train in the rolling direction.
  • the distributions of the sheet width change amounts of the rolling material along the longitudinal direction in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction are calculated on the basis of the temperature information of the rolling material and its sheet thickness information calculated by the method described above.
  • the distribution of the sheet width change amount of the rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width is calculated.
  • At least one of the estimation value of the sheet width and the estimation value of the temperature at each point may be corrected naturally by the measurement value at each point so long as at least one of the sheet width and the temperature can be measured at the point closer to the vertical rolling mill on the upstream side of vertical rolling mill set as the object for controlling the sheet width along the rolling direction.
  • the sheet width and the temperature can also be calculated on the basis of at least one of the set value of the roll gap of the vertical rolling mill, its rolling load and the rolling load of the horizontal roll stand of roughing rolling mill train.
  • At least one of a sheet width meter and a thermometer is arranged on the entry side of the vertical rolling mill set as the control object, and the estimation value of at least one of the distribution of the sheet width of the rolling material along the longitudinal direction and the distribution of the temperature of the rolling material along the longitudinal direction is preferably corrected by the respective measurement value.
  • the temperature information of the rolling material in the vertical rolling mill set as the object for controlling the sheet width in each rolling mill and between the rolling mills on the downstream side of the vertical rolling mill set as the object for controlling the sheet width along in the rolling direction, in a zone between the delivery side of the finish rolling mill train and the coiler and in a zone from the coiler to the cooling finish point is calculated on the basis of the temperature information of the rolling material on the entry side of the vertical rolling mill set as the object for controlling the sheet width calculated as described above.
  • the sheet width change amounts of the rolling material occurring in the vertical rolling mill, in each rolling mill as the control object and between the rolling mills on the downstream side of the vertical rolling mill set as the object for controlling the sheet width along in the rolling direction, in the zone from the delivery side of the finishing rolling mill train to the coiler and in the zone from the coiler to the cooling finish point are calculated for the entire length on the basis of the temperature information of the rolling material and its sheet width information thus calculated. Further, when the sheet width change amounts of the same portion at these points are added, the sheet width change amount on the downstream side of the vertical rolling mill set as the object for controlling the sheet width along in the rolling direction is calculated, and the estimated value of the final sheet width of the rolling material is computed.
  • the temperature distribution of the rolling material in at least longitudinal and transverse directions is preferably calculated in the vertical rolling mill set as the object for controlling the sheet width, in each rolling mill and between the rolling mills on the downstream side of the vertical rolling mill set as the object for controlling the sheet width, in the zone from the delivery side of the finishing rolling mill train to the coiler and in the zone from the coiler to the cooling finish point.
  • the estimation formula of the sheet width change amount is preferably formulated separately as to the front end portion, the middle portion and the tail end portion. As described in the tenth embodiment, the estimation formula of the sheet width change amount is preferably formulated separately as to regions on the entry side of the roll bite, inside the roll bite and on the delivery side of the roll bite.
  • the estimation formula of the sheet width change amount is expressed as function of the conditions on the rolling mill side such as the reduction, the roll diameter, the peripheral speed of the roll, the tension between the rolling mills and rigidity of each rolling mill, the conditions on the side of the cooling machine on the run-out table such as the quantity of cooling water and the cooling pattern, the conditions on the coiler side such as the coiling speed, and the conditions of the rolling material such as the kind of a steel (components), the sheet width, the sheet thickness, the sheet crown, the temperature and the distance of the given portion from the front end or the tail end.
  • the estimation formulas of the sheet width change amount summarized in Table 3.1 on page 73 of "Theory and Practice of Flat Rolling" edited by Rolling Theory Committee of the Iron and Steel Institute of Japan in 1984.
  • the estimation value of the final sheet width of the rolling material thus determined is compared with the final target sheet width of the rolling material.
  • the roll gap of the vertical rolling mill set as the object for controlling the sheet width to the corresponding portion is reduced, and when the former is smaller than the latter, the roll gap of the vertical rolling mill is increased so that the estimation value of the final sheet width of the rolling material is coincident with the target value of the sheet width of the rolling material.
  • the sheet width control is supplemented by the tension control between the rolling mills of the final stand of the horizontal rolling mill train as described in the seventh embodiment.
  • this tension change invites the change of the rolling load of each final stand of the horizontal rolling mill and the change of the sheet thickness and the sheet crown.
  • C 1 to C N are the contents of 1 to N component elements contained in the rolling material, and represent the contents of the component elements C, Si, Mn, etc, shown in FIGS. 8(a) to 8(c).
  • Either one, or both, of the correction coefficient ⁇ and the correction term ⁇ are added to, or multiplied by, the sheet width change estimation formulas (1) and (2) as shown in the following equations (3) to (5) to correct the calculated sheet width change amount:
  • ⁇ F is the correction coefficient expressed as the function of the steel kind component element of the sheet width estimation formula in finish rolling
  • ⁇ F is the correction term described above
  • ⁇ W F ' is the calculated sheet width change amount corrected by either one, or both, of ⁇ F and ⁇ F .
  • a sheet width change estimation having higher accuracy becomes possible by separating the sheet width change resulting from the plastic deformation from the sheet width change resulting from the creep deformation, each having a different mechanism, and calculating the correction coefficient and the correction term of the sheet width change estimation formula.
  • ⁇ FP , ⁇ FP , ⁇ FC and ⁇ FC are the functions of the contents of the component elements as defined in the equations (1) and (2).
  • This correction may also be conducted by using only one of the correction coefficient and the correction term as expressed by the equations (3) and (4).
  • the correction coefficient and the correction term are defined for each sheet width change estimation formula for the entry side of roll bite and inside of roll bite, and the correction is conducted respectively. In this way, estimation of the sheet width change with higher accuracy can be expected.
  • the correction is conducted as represented by the following equation (7) by using the correction coefficient and the correction term expressed by the functions of the component elements in the same way as in the finish rolling described above.
  • the sheet width change estimation formula in roughing rolling mill may be conducted in accordance with the estimation formula described, for example, in The Proceeding of the 1979 Japanese Spring Conference for the Technology of Plasticity, pp. 489-496. In this case, the calculation is naturally conducted while the rolling conditions such as the reduction ratio, the sheet thickness, the sheet width, the deformation resistance, etc, are taken into consideration.
  • ⁇ W R ' ⁇ R ⁇ W R + ⁇ R
  • ⁇ R is the correction coefficient expressed as the function of the component elements of the steel kind in the sheet width change estimation formula in rough rolling
  • ⁇ R is the correction term
  • ⁇ W R is the sheet width change amount calculated from the sheet width change estimation formula in rough rolling
  • ⁇ W R ' is the calculated sheet width change amount corrected by ⁇ R and ⁇ R .
  • the sheet width change occurring on the run-out table between the finishing rolling mill and the coiler is believed to result from the creep deformation that occurs at 600 to 900°C in the phase transformation region. Therefore, the estimation formula based on the creep formula in this temperature range is used for the sheet width change estimation formula.
  • ⁇ W ROT is the sheet width change amount calculated from the sheet width change estimation formula on the run-out table and ⁇ W ROT ' is the calculated sheet width change amount corrected by ⁇ ROT and ⁇ ROT .
  • the thirteenth embodiment separates the correction coefficient and the correction term before the phase transformation of the rolling material from those after the phase transformation, and discloses a method of calculating the correction coefficient and the correction term of the sheet width change estimation formula.
  • T ROT is the temperature of the rolling material on the run-out table
  • T T is the phase transformation temperature of the rolling material
  • ⁇ ROT1 and ⁇ ROT1 are the correction coefficient and the correction term before the phase transformation
  • ⁇ ROT2 and ⁇ ROT2 are the correction coefficient and the correction term after the phase transformation.
  • a hot rolling mill including a final horizontal roll stand 104 of roughing rolling mill train, a vertical rolling mill 102 set as the object for controlling the sheet width, a cooling machine 106 on a run-out table, a coiler 107, a horizontal roll stands 117 of a finisher rolling mill train, a sheet width meter 108 and a thermometer 109 arranged on the entry side of the vertical rolling mill 102 set as the object for controlling the sheet width, and a sheet width meter 120, a thermometer 121 and a sheet crown meter 122 arranged on the entry side of the coiler 107 as shown FIG. 6.
  • the correction coefficient and the correction term of the sheet width change estimation formula in the horizontal roll stand 103 of the roughing rolling mill train , in the final horizontal roll stand of the finishing rolling mill train 118 and between the final horizontal roll stand of finishing rolling mill train and the coiler 107 are learned. More concretely, the constants of the correction coefficient and the correction term of each sheet width change estimation formula are calculated so that the values of both sides of the equation (10) become equal. The constants calculated afresh in this way are then multiplied by a certain gain and are added to the constants before learning to conduct learning. In this instance, distribution to each estimation formula may be uniform or may have a certain weight. Needless to say, learning can be done with higher accuracy if the actual measured values of the sheet width meter immediately close to the delivery side of the finishing rolling mill and between the rolling mills can be used conjointly.
  • ⁇ W R “ (i) , ⁇ W F “ (i) and ⁇ W ROT “ (i) represent the sum of the calculated sheet width change amounts of the i th division point along the longitudinal direction in the horizontal roll stand of roughing rolling mill train, in the horizontal roll stand of finishing rolling mill train and between the horizontal stand of the finishing rolling mill and the coiler, that are calculated again on the basis of the actual measured value of the temperature on the delivery side of the finishing rolling mill and the sheet crown actual measured value.
  • the present invention measures the distribution of the sheet width of the rolling material along the longitudinal direction and its temperature at the point where the rolling material exists on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction, calculates the temperatures of the rolling material in each rolling mill and between the rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction from the measured temperatures of the rolling material, and calculates the distribution of the sheet width change amount of the rolling material along the longitudinal direction that occurs in each rolling pass on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction on the basis of the calculated temperature of the rolling material and the distribution of the measured sheet width of the rolling material along the longitudinal direction to thereby calculate the distribution of the sheet width of the rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
  • the present invention calculates the temperatures of the rolling material in each rolling mill and between the rolling mills on the downstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction, in the zone from the final stand of the finishing rolling mill to the coiler and in the zone from the coiler to the cooling finish point, calculates the distribution of the sheet width change amounts of the rolling material along the longitudinal direction occurring in each rolling pass and between the rolling mills on the downstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction, in the zone from the final stand of the finishing rolling mill to the coiler and in the zone from the coiler to the cooling finish point, calculates the roll gap of the vertical rolling mill set as the object for controlling the sheet width along the longitudinal direction of the rolling material on the basis of the distribution of the sum of the calculated sheet width change amounts of the rolling material along the longitudinal direction, the distribution of the measured sheet width of the rolling material along the longitudinal direction and the final target sheet width of the rolling material, and conducts the control so as to attain this roll gap. Therefore, the present invention provides
  • the present invention uses the sheet width change estimation formula corrected by the correction coefficient and the correction term that take the influences of the component elements into consideration, and learns the correction coefficient and the correction term from the actual measurement values of the sheet width.
  • the present invention can estimate the sheet width change occurring in the roughing rolling mills, in the finishing rolling mills and on the run-out table for various steel kinds. Since the present invention sets and controls the roll gap pattern of the vertical rolling mill on the basis of these sheet width change estimation values, the present invention can accomplish the sheet width control with higher accuracy than the conventional methods, and can accomplish the improvement of the yield.
  • a hot rolling line including a roughing rolling mill train 2 having r stands, in total, of vertical and horizontal roll stand of roughing rolling mills, a finishing rolling mill train 5 having f stands, in total, of vertical rolling mills 3 and horizontal roll stands 4, a cooling machine 6 on a run-out table, a coiler 7, a sheet width meter 8 and a thermometer 9 arranged on the entry side of the roughing rolling mill train 2, a roughing rolling mill train controller 10, a vertical roll stand of finishing rolling mill controller 11, a horizontal roll stand of finishing rolling mill train controller 12, a cooling controller 13, a coiler controller 14 and an arithmetic unit 15.
  • This explanation will be given hereinafter the case where the vertical stand of vertical rolling mill 3 of finishing roll train 5 is used as the object for controlling the sheet width.
  • the rough rolling mill train controller 10 has a roll gap control function and a roll peripheral speed control function for each vertical roll stand of roughing rolling mill train, a crown/shape control function, a reduction control function and a roll peripheral speed control function for each horizontal roll stand of roughing rolling mill train.
  • the vertical roll stand of finishing rolling mill controller 11 has a roll gap control function and a roll peripheral speed control function for the vertical roll stand of finishing rolling mill train.
  • the finish horizontal rolling mill train controller 12 has a tension control function between the rolling stands, a crown/shape control function, a reduction control function, a roll peripheral speed control function and a looper control function of the finishing rolling mill train.
  • the cooling controller 13 has a water quantity pattern control function of the cooling machine on the run-out table.
  • the coiler controller 14 has a coiler peripheral speed control function.
  • the sheet width measurement value by the sheet width meter 8, the temperature measurement value by the thermometer 9 and the information on the rolling material 1 such as the steel kind that is transferred from an another arithmetic unit (not shown) are inputted to the arithmetic unit 15.
  • the control information for the roughing rolling mill train controller 10, the vertical roll stand of finishing rolling mill controller 11, the finish horizontal rolling mill train controller 12, the cooling controller 13 and the coiler controller 14 are outputted.
  • the arithmetic unit 15 decides the draft schedule in the roughing rolling mill train 2, the draft schedule, the crown schedule, the peripheral roll speed of each rolling mill, the tension between the rolling mills in the finishing rolling mill train 5, the cooling condition of the cooling machine 6 on the run-out table and the coiling speed of the coiler 7 from the target sheet thickness of the rolling material 1 on the delivery side of the finishing rolling mill train, the target sheet crown, the target coiling temperature of the coiler, and so forth.
  • the arithmetic unit 15 divides the rolling material into n L elements in the longitudinal direction.
  • the temperature T o of the rolling material 1 measured by the thermometer 9 arranged on the entry side of the roughing rolling mill train 2 is transferred to the arithmetic unit 15, and is stored as the temperature of each element described above.
  • the arithmetic unit 15 calculates the temperatures of the rolling material 1 in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and the temperature on the entry side of the vertical roll stand 3 as the control object.
  • the temperature of the rolling material 1 between the (k-1) th roll stand and the k th roll stand is T RI (k)
  • the temperature of the rolling material 1 on the entry side of the vertical roll stand 3 as the control object is T ent .
  • the arithmetic unit 15 calculates the sheet width change amounts in each rolling mill and between the rolling mills of the roughing rolling mill train 2 on the basis of the calculated temperature information of the rolling material 1 and the sheet width distribution of the rolling material 1 along the longitudinal direction measured by the sheet width meter 8 arranged on the entry side to the roughing rolling mill train 2.
  • the sheet width change amount of the i th element of the rolling material 1 in the k th roll stand stage of the rough rolling mill train is ⁇ W RR (k) (i)
  • the sheet width change amount of the i th element of the rolling material 1 between the (k-1) th roll stand and the k th roll stand is ⁇ W RI (k) (i)
  • the sheet width change amount of the i th element of the rolling material 1 between the r th stand of the roughing rolling mill train 2 and the vertical rolling mill 3 as the control object is ⁇ W ent (i) calculated by following formula (12).
  • the arithmetic unit 15 adds the sum ⁇ W R (i) of the sheet width change amounts in each rolling mill and between the rolling mills of the roughing rolling mill train 2 calculated by the calculation described above and the measurement value of the sheet width: W o (i) measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2, and calculates the sheet width W ent (i) of the rolling material 1 along the longitudinal direction on the entry side of the finish vertical rolling mill 3 as the control object.
  • the arithmetic unit 15 calculates the temperatures of the rolling material at each point in each rolling mill and between the rolling mills of the finishing rolling mill train 5 inclusive of the vertical rolling mill 3, in the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7 and in the zone from the coiler 7 to the cooling finish point on the basis of the sheet width W ent (i) and the temperature T ent of the rolling material 1 on the entry side to the finish vertical rolling mill 3 as the control object.
  • the temperature of the rolling material 1 between the (k-1) th roll stand and the k th roll stand is T RI (k)
  • the arithmetic unit 15 calculates the sheet change amounts of the rolling material at each point in each rolling mill and between the rolling mills of the finishing rolling mill train 5 inclusive of the finish vertical rolling mill 3, in the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7, and in the zone from the coiler 7 to the cooling finish point on the basis of the temperature information of the rolling material 1 and its sheet width distribution along the longitudinal direction.
  • the sheet width change amount of the i th element of the rolling material 1 between the (k-1) th roll stand and the k th roll stand is ⁇ W FI (k) (i)
  • the sheet width change amount of the i th element of the rolling material 1 from the coiler 7 to the cooling finish point is ⁇ Wc 2 (i).
  • the estimation formulas of the sheet width change amount ⁇ W RR (k) (i) of the i th element of the rolling material 1 in the k th stand of the roughing rolling mill train 2, the sheet width change amount ⁇ W RI (k) (i) of the i th element of the rolling material between the (k-1) th roll stand and the k th roll stand, the sheet width change amount ⁇ W ent (i) of the rolling material between the r th roll stand of the roughing rolling mill train 2 and the vertical rolling mill 3 as the control object, the sheet width change amount ⁇ W FR (k) (i) of the i th element of the rolling material 1 in the k th (k 1 to f) roll stand in the finishing rolling mill train 5, the sheet width change amount ⁇ W FI (k) (i) of the i th element of the rolling material 1 between the (k-1) th roll stand and the k th roll stand, the sheet width change amount ⁇ W ROT (k) (i) of the
  • the estimated value W cal (i) of the final sheet width of the rolling material 1 thus determined is compared with the final target sheet width W aim . If W cal (i) is greater than W aim , the roll gap of the vertical rolling mill 3 for the corresponding portion is decreased and if the former is smaller than the latter, the roll gap of the vertical rolling mill 3 for the corresponding portion is increased. In this way, the roll gap of the finish vertical rolling mill 3 is controlled so that the estimated value W cal (i) of the final sheet width of the rolling material 1 coincides with the final target sheet width W aim .
  • Sheet width control accuracy of the system described above is compared with that of the conventional method.
  • One hundred rolling materials are used for each method, and the sheet width of the coil is measured in the successive process.
  • the standard deviation of the difference between the actual measured value of the sheet width defined by the entire length of the rolling material along the longitudinal direction and the target value is 2.5 mm in the conventional method, whereas it is 1.5 mm in the sheet width control method of the present invention. It has thus been confirmed that the method of the present invention can improve sheet width accuracy, and the effect of the novel sheet width control method of the present invention has been verified.
  • the vertical rolling mill set as the control object arranged on the first horizontal roll stand of the finishing rolling mill train is not particularly limited to the vertical roll stand of finishing rolling mill train in the present invention, but may be the vertical rolling mill in the roughing rolling mill train or the edger in the finishing rolling mill train, for example.
  • the explanation given above represents also the case where the width reduction device is the vertical rolling mill, by way of example, but is not particularly limited thereto, and may be a sizing press, for example.
  • the sheet width meter 8 and the thermometer 9 are arranged on the entry side of the roughing rolling mill train 2 by way of example, but the present invention does not particularly limit the arrangement of the sheet width meter and the thermometer on the entry side of the roughing rolling mill train. In other words, they may well be arranged on the upstream side to the vertical rolling mill set as the object for controlling the sheet width along the rolling direction.
  • thermometer 9 arranged on the entry side of the roughing rolling mill train 2 measures the temperature distribution of the rolling material 1 along the longitudinal direction, and transfers the result to the arithmetic unit 15.
  • the arithmetic unit 15 stores a temperature T o (i) corresponding to each element of the rolling material 1 divided into n L elements along the longitudinal direction.
  • the arithmetic unit 15 further calculates the temperature distribution of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the vertical roll stand 3 set as the object for controlling the sheet width.
  • the arithmetic unit 15 calculates the distribution of the sheet width change amounts of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the vertical rolling mill 3 as the vertical rolling mill set as the object for controlling the sheet width on the basis of the temperature information of the rolling material 1 calculated as described above and the sheet width distribution of the rolling material 1 along the longitudinal direction measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2.
  • the present invention is applied to the hot rolling line shown in FIG. 3 in the same way as Example 1.
  • the thermometer 9 arranged on the entry side of the roughing rolling mill train 2 measures the temperature distribution of the rolling material 1 along the transverse direction, and transfers the result to the arithmetic unit 15.
  • the arithmetic unit 15 stores a temperature T o (j) corresponding to each element of the rolling material 1 divided into n c elements along the transverse direction.
  • the arithmetic unit 15 further calculates the temperature distribution of the rolling material 1 along the transverse direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the finish vertical rolling mill 3 set as the object for controlling the sheet width.
  • the arithmetic unit 15 calculates the distribution of the sheet width change amounts of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the vertical rolling mill 3 set as the object for controlling the sheet width on the basis of the temperature information of the rolling material 1 calculated as described above and the sheet width distribution of the rolling material 1 along the longitudinal direction measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2.
  • thermometer 9 arranged on the entry side of the roughing rolling mill train 2 measures the temperature distribution of the rolling material 1 along both longitudinal and transverse directions, and transfers the result to the arithmetic unit 15.
  • the arithmetic unit 15 stores a temperature T o (i,j) corresponding to each element of the rolling material 1 divided into n L along the longitudinal direction of the rolling material 1 and n c elements along the transverse direction.
  • the arithmetic unit 15 further calculates the temperature distributions of the rolling material 1 along both longitudinal and transverse directions in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the vertical rolling mill 3 set as the object for controlling the sheet width.
  • the arithmetic unit 15 calculates the distribution of the sheet width change amounts of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the finish vertical rolling mill 3 set as the object for controlling the sheet width on the basis of the temperature information of the rolling material 1 calculated as described above and the sheet width distribution of the rolling material 1 along the longitudinal direction measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2.
  • thermometer 9 arranged on the entry side of the roughing rolling mill train 2 measures the temperature distribution of the rolling material 1 along both longitudinal and transverse directions in accordance with the flow shown in FIGS. 2(a) and (b), and transfers the result to the arithmetic unit 15.
  • the arithmetic unit 15 stores a temperature T o (i,j) corresponding to each element of the rolling material 1 divided into n L along the longitudinal direction of the rolling material 1 and n c elements along the transverse direction.
  • the arithmetic unit 15 further calculates the temperature distributions of the rolling material 1 along both longitudinal and transverse directions in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the vertical rolling mill 3 set as the object for controlling the sheet width.
  • the arithmetic unit 15 calculates the distribution of the sheet width change amounts of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the vertical rolling mill 3 set as the object for controlling the sheet width on the basis of the temperature information of the rolling material 1 calculated as described above and the sheet width distribution of the rolling material 1 along the longitudinal direction measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2.
  • the arithmetic unit 15 calculates the temperature distribution of the rolling material along both longitudinal and transverse directions at each point in each rolling mill and between the rolling mills of the finishing rolling mill train 5 inclusive of the vertical rolling mill 3, in the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7 and in the zone from the coiler 7 to the cooling finish point.
  • the arithmetic unit 15 calculates the distribution of the sheet width change amounts of the rolling material along the longitudinal direction at each point in each rolling mill and between the rolling mills of the finishing rolling mill train 5, in the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7 and in the zone from the coiler 7 to the cooling finish point on the basis of the calculated temperature information of the rolling material 1 and the sheet width distribution of the rolling material 1 along the longitudinal direction.
  • This example provides a method that is suitable when the control of the roll gap of the vertical rolling mill alone cannot sufficiently accomplish the final target sheet width W aim .
  • the tension control between the rolling mills of the horizontal roll stand of the finishing rolling mill train 4 supplements the sheet width control by the roll gap control of the vertical rolling mill 3.
  • the tension change between the rolling mills of the final horizontal stand of the finishing rolling mill train 4 invites the change of the rolling load of each horizontal stand of the finishing rolling mill train 4, the change of the sheet thickness and the change of the sheet crown.
  • the set values of the reduction control function and the crown/shape control function of the horizontal stand of the finishing rolling mill controller 12 for each rolling mill are also changed.
  • the sheet width control method of this example can improve estimation accuracy of the sheet width change amounts of the rolling material 1 such that the standard deviation of the difference between the actual measured value of the sheet width defined by the entire length of the rolling material 1 along the longitudinal direction and the target value is 1.3 mm.
  • the estimation formula of the sheet width change amount is formulated separately for the front end portion of the rolling material, its middle portion and its tail end portion.
  • the sheet width control method of this example can further improve estimation accuracy of the sheet width change amounts of the rolling material 1 such that the standard deviation of the difference between the actual measured value of the sheet width defined by the entire length of the rolling material 1 along the longitudinal direction and the target value is 1.2 mm.
  • the estimation formula of the sheet width change amount is formulated separately for the entry side of the roll bite, inside the roll bite and the delivery side of the roll bite.
  • the sheet width control method of this example can further improve estimation accuracy of the sheet width change amounts of the rolling material 1 such that the standard deviation of the difference between the actual measured value of the sheet width defined by the entire length of the rolling material 1 along the longitudinal direction and the target value is 1.2 mm.
  • This example provides a method that will be suitable when the vertical rolling mill set as the object for controlling the sheet width is the vertical rolling mill 17 of the roughing rolling mill train 2.
  • the hot rolling line including a roughing rolling mill train 2 having r stands, in total, of vertical roll stands inclusive of the final vertical roll stand 17 and horizontal roll stands, a finishing rolling mill train 4 having f stands, in total, of horizontal roll stands, a cooling machine 6 on a run-out table, a coiler 7, a sheet width meter 8 and a thermometer 9 arranged on the entry side of the roughing rolling mill train 2, a roughing rolling mill train controller 10, a finish horizontal rolling mill controller 12, a cooling controller 13, a coiler controller 14 and an arithmetic unit 15, shown in FIG. 4.
  • the vertical rolling mill 17 is set as the object for controlling the sheet width.
  • thermometer 9 arranged on the entry side of the roughing rolling mill train 2 measures the temperature distribution of the rolling material 1 along the longitudinal direction.
  • the temperature distribution so measured is transferred to the arithmetic unit 15.
  • the arithmetic unit 15 stores a temperature T o (i) corresponding to each element of the rolling material 1 that is divided into n L elements along the longitudinal direction.
  • the arithmetic unit 15 calculates the temperature distribution of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2 on the upstream side to the vertical rolling mill 17 in the rolling direction, and on the entry side of the final vertical roll stand 17 of the rough rolling mill as the vertical rolling mill set as the object for controlling the sheet width.
  • the arithmetic unit 15 further calculates the distribution of the sheet width change amounts of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2 on the upstream side to the vertical rolling mill 17 in the rolling direction, and on the entry side of the vertical rolling mill 17 set as the object for controlling the sheet width on the basis of the calculated temperature information of the rolling material 1 and the sheet width distribution of the rolling material 1 along the longitudinal direction measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2.
  • the arithmetic unit 15 calculates the temperature distribution of the rolling material 1 along longitudinal direction at each point in each rolling mill and between the rolling mills of each of the roughing rolling mill train 2 on the downstream side to the final vertical roll stand 17 of roughing rolling mill in the rolling direction and in each rolling mill of the finishing rolling mill train 4, in the zone from the delivery side of the finishing rolling mill train 4 to the coiler 7, and in the zone from the coiler 7 to the cooling finish point.
  • the thermometer 9 arranged on the entry side of the roughing rolling mill train 2 measures the temperature distribution of the rolling material 1 along the longitudinal direction. The temperature distribution so measured is transferred to the arithmetic unit 15.
  • the arithmetic unit 15 stores a temperature T o (i) corresponding to each element of the rolling material 1 that is divided into n L elements along the longitudinal direction.
  • the arithmetic unit 15 further calculates the temperature distribution of the rolling material 1 along the longitudinal direction on the entry side of the vertical roll stand 17 set as the object for controlling the sheet width.
  • the arithmetic unit 15 calculates the distribution of the sheet width change amounts of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of the roughing rolling mill train 2, and on the entry side of the vertical rolling mill 17 set as the object for controlling the sheet width on the basis of the calculated temperature information of the rolling material 1 and the sheet width distribution of the rolling material 1 along the longitudinal direction measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2.
  • the arithmetic unit 15 calculates the temperature distribution of the rolling material 1 along longitudinal direction at each point in each rolling mill and between these rolling mills of each of the roughing rolling mill on the downstream side to the vertical roll stand 17 of roughing rolling mill train and the finishing rolling mill train 4, in the zone from the delivery side of the finishing rolling mill train 4 to the coiler 7 and in the zone from the coiler 7 to the cooling finish point.
  • the arithmetic unit 15 calculates the distribution of the sheet width change amounts of the rolling material 1 along the longitudinal direction in each rolling mill and between the rolling mills of each of the roughing rolling mill train 2 on the downstream side to the vertical roll stand 17 of the roughing rolling mill inclusive of the vertical roll stand in the rolling direction and the finishing horizontal rolling mill train 4, in the zone from the delivery side of the finishing horizontal rolling mill train 4 to the coiler 7 and in the zone from the coiler 7 to the cooling finish point on the basis of the temperature information of the rolling material 1 and its sheet width distribution along the longitudinal direction thus calculated.
  • This example provides a method that will be suitable when the sheet width of the rolling material is measured on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
  • the application of the present invention will be considered in the hot rolling line including a rough rolling mill train 2 having r stands, in total, of vertical rolling mills and horizontal rolling mills, a finishing rolling mill train 5 having f stands, in total, of finish vertical rolling mills 3 and horizontal roll stands of finishing rolling mill train, a cooling machine 6 on a run-out table, a coiler 7, a sheet width meter 8 and a thermometer 9 arranged on the entry side of the roughing rolling mill train 2, a sheet width meter 8' arranged on the entry side of the vertical rolling mill 3, a roughing rolling mill controller 10, a vertical rolling mill controller 11, a finish horizontal rolling mill train controller 12, a cooling controller 13, a coiler controller 14 and an arithmetic unit 15, shown in FIG. 5.
  • the vertical rolling mill 3 is set as the object for controlling the sheet width.
  • the roughing rolling mill train controller 10 has a roll gap control function and a roll peripheral speed control function for each vertical roll stand of roughing rolling mill train, a crown/shape control function a reduction control function and a roll peripheral speed control function of each horizontal rolling mill train.
  • the finish vertical rolling mill controller 11 has a control function of roll gap and a roll peripheral speed control function of the vertical rolling mill 3.
  • the finish horizontal rolling mill train controller 12 has a tension control function between the rolling mills, a crown/shape control function, a reduction control function, a roll peripheral speed control function and a looper control function of each horizontal roll stand of finishing rolling mill.
  • the cooling controller 13 has a water quantity pattern control function of the cooling machine on the run-out table.
  • the coiler controller 14 has a coiler peripheral speed control function.
  • the sheet width measurement values by the sheet width meters 8 and 8', the measured temperature value by the thermometer 9 and the information on the rolling material 1 such as the steel kind that is transferred from an another arithmetic unit (not shown) are outputted to the arithmetic unit 15.
  • rolling is conducted by the same method as that of Example 1.
  • the sheet width meter 8' arranged on the entry side of the vertical rolling mill 3 measures the distribution of the sheet width of the rolling material 1 along the longitudinal direction at the point at which the rolling material 1 reaches the entry side of the vertical rolling mill 3 with the progress of rolling, and corrects the sheet width W ent (i) of the rolling material 1 on the entry side of the vertical rolling mill 3.
  • the temperature of the rolling material 1 and its sheet width change amount are measured at each point in each rolling mill and between the rolling mills of the finishing rolling mill train inclusive of the vertical rolling mill 3, in the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7 and in the zone from the coiler 7 to the cooling finish point on the basis of the corrected sheet width W ent (i) of the rolling material 1 on the entry side of the vertical rolling mill 3 and the calculated temperature T ent .
  • the sheet width control method of the present invention can improve sheet width accuracy because the standard deviation of the difference between the actual measured value of the sheet width defined in the full length of the rolling material 1 in the longitudinal direction and the target value is 1.3 mm.
  • a hot rolling mill including a final horizontal roll stand 104 of roughing rolling mill train, a vertical rolling mill 102 set as the object for controlling the sheet width, a cooling machine 106 on a run-out table, a coiler 107, a horizontal roll stands of finisher rolling mill train 117 equipped with seven stands, a sheet width meter 108 and a thermometer 109 arranged on the entry side of the vertical rolling mill 102 set as the object for controlling the sheet width, a sheet width meter 120, a thermometer 121 and a sheet crown meter 122 arranged on the entry side of the coiler 107 as shown FIG. 9.
  • Reference numeral 111 denotes the controller of vertical rolling mill 102.
  • Reference numeral 112 denotes the controller of final horizontal roll stand 104 of roughing rolling mill.
  • Reference numeral 113 denotes a finishing rolling mill train controller.
  • Reference numeral 114 denotes a cooling controller.
  • Reference numeral 115 denotes a coiler controller.
  • Reference numeral 116 denotes an arithmetic unit.
  • the vertical rolling mill controller 111 has a control function of roll gap of vertical roll stand 102 set as the control object
  • the roughing horizontal rolling mill controller 112 has a crown/shape control function, a reduction control function and a roll peripheral speed control function of the final horizontal rolling mill 104.
  • the finish horizontal rolling mill controller 113 has a tension control function between the rolling mills, a crown/shape control function, a reduction control function, a roll peripheral speed control function and a looper control function of the finishing rolling mill train 117.
  • the coiler controller 115 has a coiler peripheral speed control function.
  • the arithmetic unit 116 decides the roll peripheral speed condition, the draft schedule, the crown schedule, the roll peripheral speed of each rolling mill and tension between the rolling mills in the first to seventh rolling mills of the finish horizontal rolling mill train 117, the cooling condition of the cooling machine on the run-out table and the coiler peripheral speed from the target sheet thickness of the rolling material 101 on the delivery side of the finishing rolling mill train 117, the target sheet crown, the target coiling temperature of the coiler, etc.
  • the instructions of these conditions is given to the vertical rolling controller 111 the rough horizontal rolling mill controller 112, the finish horizontal rolling mill controller 113, the cooling controller 114 and the coiler controller 115.
  • the sheet width of the rolling material and its temperature are measured in the entire length of the rolling material along the longitudinal direction and are transferred to the arithmetic unit 116.
  • n 1 , n 2 and n 3 vary depending on the sheet width of the rolling material 101 and on the rolling conditions of the rough/finish rolling mills, and are set for each condition.
  • the temperature of the rolling material 101 at the same point at each division point in each rolling mill of the vertical rolling mill 102 set as the object for controlling the sheet width, the rough rolling mill 104 and the finish rolling mill train 117, the temperature between these rolling mills, and the temperature in the zone from the finish seventh final horizontal rolling mill to the coiler 107 are calculated in the same way as the setup calculation.
  • the correction coefficient and the correction term of the sheet width change estimation formula in the final horizontal roll stand 104 of roughing rolling mill , the finishing rolling mill train 117 and in the zone from the finishing rolling mill train 117 to the coiler 107 are calculated from the contents of the component elements of the rolling material 101.
  • the sheet width change amount of the rolling material 101 occurring in the horizontal rolling mill train 104, in each rolling mill and between these rolling mills of the finishing rolling mill train 117 and in the zone from the finishing rolling mill to the coiler 107 are calculated at each division point and are calculated on the basis of the temperature distribution of the rolling material 101 along the longitudinal direction estimated at each point by the sheet width change amount estimation obtained by the correction coefficient and the correction term.
  • the target sheet width of the rolling material 101 in the vertical rolling mill 102 set as the object for controlling the sheet width is calculated at each division point along the longitudinal direction, and the distribution of the gap control of vertical rolling mill 102 along the longitudinal direction, that takes the width change amount due to the dog bone shape and the deformation amount of the vertical rolling mill set as the object for controlling the sheet width into consideration, is calculated.
  • the pattern of this gap set value is transferred to the vertical rolling mill controller 111.
  • the vertical rolling mill controller 111 sets the gap pattern of the vertical rolls of the vertical rolling mill 102.
  • the process steps described so far will be called the "first step" of the novel sheet width control method of the present invention.
  • the correction coefficient and the correction term of the sheet width estimation formula are learned by the formula (11) on the basis of the actual measured values of the sheet width, the temperature and the sheet crown along the longitudinal direction measured by the sheet width meter 120, the thermometer 121 and the sheet crown meter 122 arranged on the entry side of the coiler 107, and the sheet width control for reflecting the learning result on the next rolling material is conducted.
  • This process step will be called the "second step" of the novel sheet width control method.
  • the conventional sheet width control method is compared with the first and second steps of the novel sheet width control method of the present invention by using the system described above.
  • the rolling materials 101 substantially cover almost all the steel kinds used in actual operations, and the number of the materials for each steel kind is 1,000.
  • the measurement result of the sheet width along the rolling direction measured by the sheet width meter 120 on the entry side of the coiler 107 is evaluated.
  • the sheet width control is conducted without using the correction coefficient and the correction term of the sheet width estimation formula, and the result is compared with that of the novel sheet width control method of the present invention.
  • the standard deviation of the difference between the actual measurement value of the sheet width defined by the entire length of the rolling material along the longitudinal direction is 1.9 mm in the conventional sheet width control method whereas it is 1.1 mm when the first step of the novel sheet width control method of the present invention is used and is 0.7 mm when the second step is used. It has thus been confirmed that sheet width accuracy can be improved, and the effect of the novel sheet width control method of the present invention has been verified.
  • the present invention aims at providing a sheet width control method in hot rolling for obtaining a high precision sheet width control effect that calculates a sheet width distribution of a rolling material along a longitudinal direction on the entry side of a vertical rolling mill set as the object for controlling the sheet width, calculates a distribution of a sheet width change amount of the rolling material along the longitudinal direction occurring on the downstream side to of the vertical rolling mill in a rolling direction, and calculates and controls roll gap of the vertical rolling mill in the longitudinal direction of the rolling material on the basis of the sheet width distribution of the rolling material along the longitudinal direction that is determined from the distribution of the sum of the calculated sheet width change amounts along the longitudinal direction and on the basis of a final target sheet width.

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Control Of Metal Rolling (AREA)
  • Materials For Photolithography (AREA)
  • Lenses (AREA)
  • Exposure And Positioning Against Photoresist Photosensitive Materials (AREA)
EP01972693A 2000-10-04 2001-10-04 Sheet width control method in hot rolling Expired - Lifetime EP1322433B1 (en)

Applications Claiming Priority (5)

Application Number Priority Date Filing Date Title
JP2000305415A JP3679699B2 (ja) 2000-10-04 2000-10-04 熱間圧延における板幅制御方法
JP2000305415 2000-10-04
JP2001029158 2001-02-06
JP2001029158A JP2002224723A (ja) 2001-02-06 2001-02-06 板幅制御方法および板幅変化予測式の学習方法
PCT/JP2001/008766 WO2002028558A2 (en) 2000-10-04 2001-10-04 Sheet width control method in hot rolling

Publications (2)

Publication Number Publication Date
EP1322433A2 EP1322433A2 (en) 2003-07-02
EP1322433B1 true EP1322433B1 (en) 2005-08-31

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EP01972693A Expired - Lifetime EP1322433B1 (en) 2000-10-04 2001-10-04 Sheet width control method in hot rolling

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EP (1) EP1322433B1 (ko)
KR (1) KR100531145B1 (ko)
AU (1) AU2001292356A1 (ko)
DE (1) DE60113132T2 (ko)
WO (1) WO2002028558A2 (ko)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102688895A (zh) * 2011-03-23 2012-09-26 宝山钢铁股份有限公司 一种厚板轧机的钢锭消锥轧制控制方法

Families Citing this family (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR101024589B1 (ko) * 2008-09-25 2011-03-31 현대제철 주식회사 열간압연장치의 제어방법
KR101246313B1 (ko) * 2011-01-28 2013-03-21 현대제철 주식회사 온도보상을 통한 압연 제어방법
CN107614134B (zh) * 2015-05-20 2019-06-18 东芝三菱电机产业系统株式会社 前后端板宽度控制装置
WO2018117486A1 (ko) * 2016-12-19 2018-06-28 주식회사 포스코 다중스탠드압연밀의 폭 제어장치 및 그 폭 제어방법

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Publication number Priority date Publication date Assignee Title
JPS5947007A (ja) * 1982-09-13 1984-03-16 Mitsubishi Electric Corp 圧延機の自動板幅制御装置
JPS61279308A (ja) * 1985-06-04 1986-12-10 Kawasaki Steel Corp 熱間圧延における板幅制御方法
JP3403330B2 (ja) * 1998-04-01 2003-05-06 新日本製鐵株式会社 熱間圧延における板幅制御方法

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102688895A (zh) * 2011-03-23 2012-09-26 宝山钢铁股份有限公司 一种厚板轧机的钢锭消锥轧制控制方法
CN102688895B (zh) * 2011-03-23 2014-12-03 宝山钢铁股份有限公司 一种厚板轧机的钢锭消锥轧制控制方法

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WO2002028558A2 (en) 2002-04-11
AU2001292356A1 (en) 2002-04-15
DE60113132T2 (de) 2006-07-13
DE60113132D1 (de) 2005-10-06
WO2002028558A3 (en) 2002-07-18
EP1322433A2 (en) 2003-07-02
KR100531145B1 (ko) 2005-11-25
KR20030029609A (ko) 2003-04-14

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