EP1322433B1

EP1322433B1 - Sheet width control method in hot rolling

Info

Publication number: EP1322433B1
Application number: EP01972693A
Authority: EP
Inventors: 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
Original assignee: Nippon Steel Corp
Current assignee: Nippon Steel Corp
Priority date: 2000-10-04
Filing date: 2001-10-04
Publication date: 2005-08-31
Anticipated expiration: 2021-10-04
Also published as: WO2002028558A2; AU2001292356A1; DE60113132T2; DE60113132D1; WO2002028558A3; EP1322433A2; KR100531145B1; KR20030029609A

Description

Technical Field

This invention relates to a sheet width control method in hot rolling and a learning method for a sheet width change estimation system.

Background Art

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.
For example, the method described in 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. The method described in Japanese Patent No. 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.
According to these conventional methods that conduct feedback control on the basis of the sheet width meter, however, a control lag occurs in accordance with the distance between a detection end and a control end. Therefore, high precision sheet width control is almost impossible.
Therefore, Japanese Unexamined Patent Publication (Kokai) No. 54-149357, for example, 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.
However, even when the product width is rendered constant on the delivery side of the finishing rolling mill train, the sheet width changes, too, on the subsequent run-out table and in a cooling process from a coiler to room temperature. To keep the sheet width of the hot-rolled products constant, therefore, it becomes necessary not only to estimate and control all the sheet width changes occurring on the downstream side of the vertical rolling mill set as the control object but also to calculate the sheet width change in the rolling mill train. However, this prior art does not concretely mention such methods and does not provide a practical solution.
According to these conventional methods, a 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.
Further, 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.
Among the conventional methods described above, 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. In this case, 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.

Summary of the invention

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. On the basis of these analysis, 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. Further, to accomplish higher precision sheet width change estimation and sheet width control, 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 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 rolling direction, in a zone from a final roll stand of finishing rolling mill train to a coiler and in a zone from the coiler to a cooling finish point; calculating 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 a vertical rolling mill set as the object for controlling the sheet width in the rolling direction, in the zone from the final roll stand of finish rolling mill train to the coiler and in the zone from the coiler to the cooling finish point on the basis of the temperatures of the rolling material so calculated and the sheet width distribution of the rolling material along the longitudinal direction so calculated; calculating 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 sheet width change amounts of the rolling material along the longitudinal direction so calculated and a final target sheet width of the rolling material; and conducting control so as to attain the roll gap.
In the sheet width control method in hot rolling according to the first embodiment, 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.
In the sheet width control method in hot rolling according to the first embodiment, 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 on the entry side of the vertical rolling mill set as the object for controlling the sheet width; 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 downstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction, in a zone from a finish final rolling mill to a coiler and in a zone from the coiler to a cooling finish point; calculating a 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 finish final rolling mill to the coiler and in the zone from the coiler to the cooling finish point 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 calculated; calculating 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 sheet width change amounts of the rolling material along the longitudinal direction so calculated and a final target sheet width of the rolling material; and conducting control so as to attain the roll gap.
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. Therefore, 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.
In the method according to any one of the first embodiment to the fifth embodiment, 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.
In the method according to any one of the first embodiment through the sixth embodiment, the seventh embodiment controls a tension between rolling mills of a finish rolling mill train and thus.controls the sheet width.
According to the seventh embodiment, as 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.
In the method according to any one of the first embodiment through the seventh embodiment, 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.
According to the eighth embodiment, as 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.
In the method according to any one of the first embodiment to eighth embodiment, 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.
In the method according to any one of the first embodiment to eighth embodiment, 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.
In the method according to any one of the first embodiment to tenth embodiment, 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. In the method according to eleventh embodiment, 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.
In the method according to the eleventh embodiment, 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.
In the method of according to any one of the tenth embodiment to thirteenth embodiment, the fourteenth embodiment provides a sheet width control method comprises 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 sheet width between the rolling mills and/or on the delivery side of the finishing rolling mill.
In the method according to any one of the tenth embodiment to twelveth embodiment, 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.
Here, the definitions of the terms are as follows. When the kind of rolling mills is to be discriminated, the term "horizontal rolling mill" or "vertical rolling mill" is used. When the term "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. When the term "finishing rolling mill train" is employed, 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. For example, 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. Further, a width reduction machine such as a sizing press may be set as the object for controlling the sheet width.
When the term "temperature" is merely employed, it means a mean temperature or a temperature at an arbitrary point.

Brief description of the drawings

FIG. 1 shows a flow of operation of claim 1 of the present invention;
FIG. 2(a) and Fig. 2(b) show a flow of operation of claim 5 of the present invention;
FIG. 3 shows an outline of a hot rolling line used in Examples 1 to 8 of the present invention;
FIG. 4 shows an outline of a hot rolling line used in Example 9 of the present invention;
FIG. 5 shows an outline of a hot rolling line used in Example 10 of the present invention;
FIG. 6 is a structural view of an apparatus for explaining the present invention;
FIG. 7 is a graph for explaining a method of dividing a sheet width and a temperature measurement value in a longitudinal direction;
FIG. 8(a) - FIG. 8(c) are graphs showing the difference between the measured value of the sheet width change amount and the determined one from a rolling condition, and contents of component elements of a material, and
FIG. 9 shows an outline of a hot rolling line used in Example 11 of the present invention.

The most preferred embodiment

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. When the sheet width change is estimated by dividing the process into each of these process steps, 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. Incidentally, not only the mean temperature but also the temperature distribution along a longitudinal direction and along a transverse direction exert great influences as the temperature conditions of the rolling material. Even when these conditions are equal, the sheet width change behavior is different between the front end portion of the rolling material, its middle portion and its tail end portion. Further, as to rolling deformation, not only the sheet width change inside a roll bite but also deformation which occurs at the entry side of roll bite (pre-deformation) and deformation which occurs at the delivery side of roll bite (post-deformation) are great. In addition, 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.
Furthermore, the following result is obtained after careful examination. When 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. Incidentally, 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.
To accomplish the estimation with higher accuracy, therefore, it is necessary not only to consider the influences of the material components as the carbon amount and the change resistance value in the estimation of the sheet width but also to conduct calculation while taking the influences of the material components on the creep deformation characteristics into account. However, it is not realistically possible to conduct the creep tensile tests for all the kinds of steels used for actual operations and to prepare the estimation formula for each steel kind because an enormous expense and much time would be necessary.
On the basis of the observation described above, the present inventors have accomplished a sheet width control method having higher accuracy than conventional methods, and have invented an invention for improving sheet width accuracy and yield. Hereinafter, a sheet width control method of the present invention will be explained with reference to the flowchart shown in FIG. 1.
To begin with, 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. Next, 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. At this time, as described in the second embodiment, 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. Also, 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. Further, as described in the fourth 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. As described in the eighth embodiment, 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. When the sheet width change amounts of the same portion of the rolling material in each rolling mill and between the rolling mills are added, 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. Incidentally, 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. Further, as described in the sixth embodiment, 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.
Further, 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. At this time, as described in the fifth embodiment, 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.
As described in the ninth embodiment, 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. For example, it is possible to use various 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. When the estimation value is greater than the target value, 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.
When the final target sheet width cannot be achieved sufficiently by means of the roll gap control of the rolling mill, described above, alone, 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. In this way, the sheet width control with higher accuracy can be accomplished. Incidentally, 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. Needless to say, it is necessary in this case to change the set values of the reduction control functions of each rolling mill of the final horizontal roll stand of the rolling mill train and the set values of the crown/shape control functions in order to keep the original sheet thickness and the sheet crown set values.
As described in the eleventh embodiment, in order to take the influences of such material components into consideration, the present invention defines a correction coefficient α and a correction term β as the functions of the contents of the component elements of the rolling material as expressed by the following equations (1) and (2), and the sheet width change amount is corrected by using either one, or both, of the correction coefficient and the correction term so that high accuracy estimation of the sheet width change amount can be accomplished for all kinds of steels: α = α(C1, C2, .., CN) β = β(C1, C2, .., CN)
Here, C₁ 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 α and the correction term β 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: ΔWF' = αFΔWF ΔWF' = ΔWF + βF ΔWF' = αFΔWF + βF
Here, α_F is the correction coefficient expressed as the function of the steel kind component element of the sheet width estimation formula in finish rolling, β_F is the correction term described above, and ΔW_F' is the calculated sheet width change amount corrected by either one, or both, of α_F and β_F.
As described in the twelveth embodiment, 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. In this case, when the correction coefficient of the influence term resulting from the plastic deformation in the sheet width change estimation formula in finish rolling is α_FP, the correction term is β_FP, the correction coefficient of the influence term resulting from the creep deformation is α_FC and the correction term is β_FC, the formula corrected by using them is expressed by the following equation (6): ΔWF' = (αFPΔWFP + βFP) + (αfcΔWFC + βFC)
Here, α_FP, β_FP, α_FC and β_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). In connection with the sheet width change behavior resulting from the plastic deformation, 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.
In the sheet width change estimation formula in rough rolling, too, 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. ΔWR' = αRΔWR + βR
Here, α_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, β_R is the correction term and ΔW_R is the sheet width change amount calculated from the sheet width change estimation formula in rough rolling. ΔW_R' is the calculated sheet width change amount corrected by α_R and β_R. Incidentally, in the sheet width change estimation formula in rough rolling described above, it is normal to calculate the sheet width change for the front end portion, the middle portion and the tail end portion of the rolling material in accordance with the different sheet width change estimation formulas, respectively, and sheet width change estimation with higher accuracy can be expected when the correction coefficient and the correction term are defined and corrected again for each estimation formula.
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. In this case, the correction formula is similarly given by the following equation (8) where α_ROT is the correction coefficient of the sheet width change estimation formula on the run-out table and β_ROT is its correction term: ΔWROT' = αROTΔWROT + βROT
Here, ΔW_ROT is the sheet width change amount calculated from the sheet width change estimation formula on the run-out table and ΔW_ROT' is the calculated sheet width change amount corrected by α_ROT and β_ROT.
As a result of studies by creep experiments, the present inventors have confirmed that the creep deformation behavior is drastically different before and after the phase transformation depending on the steel type, and the sheet width change estimation formula has to use creep formulas before and after the phase transformation. The correction coefficient and the correction term, too, must be different before and after the phase transformation. In this way, higher precision estimation of the sheet width change can be expected. Therefore, 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. In this case, the correction coefficient and the correction term are given by the following equation (9): αROT = αROT1(C1, C2, ... , CN) (TROT ≦ TT) αROT = αROT2(C1, C2, ... , CN) (TROT > TT) βROT = βROT1(C1, C2, ... , CN) (TROT ≦ TT) βROT = βROT2(C1, C2, ... , CN) (TROT > TT)
Here, 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, α_ROT1 and β_ROT1 are the correction coefficient and the correction term before the phase transformation, and α_ROT2 and β_ROT2 are the correction coefficient and the correction term after the phase transformation.
Furthermore, it is possible to estimate a highly accurate sheet width change by learning the correction coefficient and the correction term of the sheet width change estimation system based on the sheet width actual measured value between the finish rolling mills and/or on the delivery side of the finish mill as described in the fourteenth embodiment. Let's consider 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.
Learning of the correction coefficient and the correction term by use of the sheet width meter 120 will be considered. The sheet width distribution along the longitudinal direction, that is measured by the sheet width meter 120 on the entry side of the coiler 107, that is, the sheet width at the ith division point along the longitudinal direction, is M_c ⁽ⁱ⁾ (i = 1 to n₁ + n₂ + n₃). Assuming also that the calculated values of the width change amount due to the dog bone shape in the final horizontal roll stand of the roughing rolling mill train 103 and the deformation amount of the control target of the vertical rolling mill 102 are correct, the following equation (10) can be acquired: Mc (i) - MR (i) = ΔWR'(i) + ΔWF'(i) + ΔWROT (i)
On the basis of this equation (10), 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.
Next, it is possible to estimate a highly accurate sheet width change by learning the correction coefficient and the correction term of the sheet width change estimation formula from the actual measured temperature between the rolling mills and/or on the delivery side of the finishing rolling mill train, and/or the actual measured value of the sheet crown as described in the fifteenth embodiment. Considering the case where the correction coefficient and the correction term are supplemented by learning by use of the thermometer 121 and the sheet crown meter 122 disposed on the entry side of the coiler 107 on the delivery side of the finishing rolling mill train, as shown in FIG. 6, the temperatures in the final horizontal roll stand 104 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 the finishing rolling mill and the coiler 107 and the distribution of the sheet crown along the longitudinal direction are calculated again on the basis of the actual measured values of the temperatures by the thermometer 121 on the entry side of the coiler 107 and the sheet crown distribution along the longitudinal direction, and are compared with the recalculated sheet width change amounts as represented by the following equation (11) to conduct learning of the correction coefficient and the correction term of the sheet width change estimation formula: Mc (i) - MR (i) = ΔWR"(i) + ΔWF"(i) + ΔWROT"(i)
Here, ΔW_R"⁽ⁱ⁾, ΔW_F"⁽ⁱ⁾ and ΔW_ROT"⁽ⁱ⁾ represent the sum of the calculated sheet width change amounts of the ith 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.
As explained above, 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. Further, 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 effect that sheet width accuracy and the yield can be drastically improved in comparison with the conventional methods.
In addition, 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. In consequence, 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.

[Examples]

The explanation will be given on the application of the present invention to 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.
Next, the sheet width control method of the present invention will be explained with reference to the flow shown in FIG. 1. In the setup calculation, 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 sheet width measurement value W_o(i) (i = 1 to N_L) corresponding to each element measured by the sheet width meter 8 arranged on the entry side of the roughing rolling mill train 2 is transferred to, and stored in, the arithmetic unit 15. 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.
On the basis of the sheet width W_o(i) and the temperature T_o, and the rough rolling conditions decided by the setup calculation, 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. In the following description, the temperature of the rolling material 1 in the kth roll stand (k = 1 to r) of the roughing rolling mill train 2 is T_RR ^(k), the temperature of the rolling material 1 between the (k-1)th roll stand and the kth roll stand is T_RI ^(k) and 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. Hereinafter, the sheet width change amount of the ith element of the rolling material 1 in the kth roll stand stage of the rough rolling mill train is ΔW_RR ^(k)(i), the sheet width change amount of the ith element of the rolling material 1 between the (k-1)th roll stand and the kth roll stand is ΔW_RI ^(k)(i) and the sheet width change amount of the ith element of the rolling material 1 between the rth stand of the roughing rolling mill train 2 and the vertical rolling mill 3 as the control object is ΔW_ent(i) calculated by following formula (12).
The arithmetic unit 15 adds the sum ΔW_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.
Further, 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. Hereinafter, the temperature of the rolling material 1 in the kth (k = 1 to f) stand of the finishing rolling mill train 5 is T_RF ^(k), the temperature of the rolling material 1 between the (k-1)th roll stand and the kth roll stand is T_RI ^(k) and the mean temperature in the kth (k = 1 to N) zone formed by dividing the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7 into N zones in the longitudinal direction is T_ROT ^(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. Hereinafter, the sheet width change amount of the ith element of the rolling material 1 in the kth (k = 1 to f) finish rolling mill group 5 is ΔW_FR ^(k)(i), the sheet width change amount of the ith element of the rolling material 1 between the (k-1)th roll stand and the kth roll stand is ΔW_FI ^(k)(i), the sheet width change amount of the ith element of the rolling material 1 in the kth (k = 1 to N) zone when the zone from the delivery side of the finish rolling mill train 5 to the coiler 7 is divided into N zones in the longitudinal direction is ΔW_ROT ^(k)(i), and the sheet width change amount of the ith element of the rolling material 1 from the coiler 7 to the cooling finish point is ΔWc₂(i).
The sum ΔW_F(i) of the sheet width change amounts in each rolling mill and between the rolling mills of the finishing rolling mill train 5 calculated as above, the sum ΔWc₁(i) of the sheet width change amounts in the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7, the sum ΔWc₂(i) of the sheet width change amounts in the zone from the coiler 7 to the cooling finish point and the sheet width ΔW_ent(i) on the entry side of the vertical rolling mill 3 are added for the ith element of the rolling material 1, and the estimated value W_cal(i) of the final sheet width of the rolling material is calculated by following formula (13).
The estimation formulas of the sheet width change amount ΔW_RR ^(k)(i) of the ith element of the rolling material 1 in the kth stand of the roughing rolling mill train 2, the sheet width change amount ΔW_RI ^(k)(i) of the ith element of the rolling material between the (k-1)th roll stand and the kth roll stand, the sheet width change amount ΔW_ent(i) of the rolling material between the rth roll stand of the roughing rolling mill train 2 and the vertical rolling mill 3 as the control object, the sheet width change amount ΔW_FR ^(k)(i) of the ith element of the rolling material 1 in the kth (k = 1 to f) roll stand in the finishing rolling mill train 5, the sheet width change amount ΔW_FI ^(k)(i) of the ith element of the rolling material 1 between the (k-1)th roll stand and the kth roll stand, the sheet width change amount ΔW_ROT ^(k)(i) of the ith element of the rolling material 1 in the kth (k = 1 to N) zone when the zone from the delivery side of the finishing rolling mill train 5 to the coiler 7 is divided into N zones and the sheet width change amount ΔWc₂(i) of the ith element of the rolling material 1 from the coiler 7 to the cooling finish point are expressed as the functions of the conditions on the rolling mill side such as the reduction in each rolling mill, the roll diameter of the rolling mills, the roll peripheral speed, the tension between the rolling mills, the rigidity of each rolling mill, etc, the conditions on the cooling machine side on the run-out table such as the cooling water quantity and the cooling pattern, the conditions on the coiler side such as the coiling speed of the coiler, and the conditions of the rolling material such as the steel kind (components), the sheet width, the sheet thickness, the sheet crown, the temperature and the distance of the corresponding portion from the front end or the tail end. For example, the estimation formulas of various sheet width change amounts described in "Theory and Practice of Flat Rolling" edited by Rolling Theory Committee of the Japan Iron and Steel Institute in 1984, page 73, Table 3.1, may be used.
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.
As a result, 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 explanation given above represents the case where 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.
Further, in the explanation given above, 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.

[Example 2]

In the application of the present invention to the hot rolling line shown in FIG. 3, in the same way as in 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 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. Next, 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.
As a result, estimation accuracy of the sheet width change amounts of the rolling material 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 can be improved. It has thus been confirmed 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 along the longitudinal direction and the target value is 1.3 mm, and the sheet width control method of this example can further improve sheet width estimation accuracy.

[Example 3]

The present invention is applied to the hot rolling line shown in FIG. 3 in the same way as Example 1. In this Example, 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. Next, 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.
As a result, estimation accuracy of the sheet width change amounts of the rolling material in each rolling mill and between the rolling mills of the roughing rolling mill train 2 can be improved. It has thus been confirmed 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 along the longitudinal direction and the target value is 1.3 mm, and the sheet width control method of this example can further improve the sheet width estimation accuracy.

[Example 4]

In the application of the present invention to the hot rolling line shown in FIG. 3, in the same way as in 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 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. Next, 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.
As a result, estimation accuracy of the sheet width change amounts of the rolling material 1 in each rolling mill and between the rolling mills of the roughing rolling mill train 2 can be improved. It has thus been confirmed 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, and the sheet width control method of this example can further improve sheet width estimation accuracy.

[Example 5]

In the application of the present invention to the hot rolling line shown in FIG. 3, in the same way as in 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 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. Next, 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. Next, 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. Further, 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.
As a result, estimation accuracy of the sheet width change amounts of the rolling material 1 in each rolling mill and between the rolling mills of the roughing rolling mill train 2, 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 can be improved. It has thus been confirmed 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 in the longitudinal direction and the target value is 1.0 mm, and the sheet width control method of this example can further improve sheet width estimation.

[Example 6]

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. In the application of the present invention to the hot rolling line shown in FIG. 3, in the same way as in Example 1, 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. Incidentally, 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.
As a result, it has been confirmed that 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.

[Example 7]

In the application of the present invention to the hot rolling line shown in FIG. 3, in the same way as in Example 1, 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.
As a result, it has been confirmed that 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.

[Example 8]

In the application of the present invention to the hot rolling line shown in FIG. 3, in the same way as in Example 1, 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.
As a result, it has been confirmed that 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.

[Example 9]

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 explanation will be given on the application of the present invention to 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. Here, the explanation will be given on the case where the vertical rolling mill 17 is set as the object for controlling the sheet width.
In this example, 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 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. Next, 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. In this example, 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. Furthermore, 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. Next, 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. Furthermore, 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.
As a result, whereas 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 2.5 mm according to the conventional sheet width control method, it is 1.7 mm according to the sheet width control method of the present invention. It has thus been confirmed that sheet width accuracy can be confirmed, and the effect of the novel sheet width control method of the present invention has been verified.

[Example 10]

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. Here, the explanation will be given on the case where the vertical rolling mill 3 is set as the object for controlling the sheet width.
Incidentally, 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.
In this example, 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. Here, 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.
As a result, as the distribution of the sheet width of the rolling material 1 along the longitudinal direction can be actually measured on the entry side of the vertical rolling mill 3, the estimation error of the sheet width distribution of the rolling material on the entry side of the vertical rolling mill 3 along the longitudinal direction becomes zero. It has thus been confirmed that 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.

[Example 11]

In this example, an explanation will be given on the application of the sheet width control method of the present invention to 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. Incidentally, the vertical rolling mill controller 111 has a control function of roll gap of vertical roll stand 102 set as the control object, and 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.
In setup calculation, 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.
In the sheet width meter and the thermometer 109 arranged on the entry side of the vertical rolling mill 102 set as the object for controlling the sheet width, 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. In the arithmetic unit 116, the temperature measurement value and the sheet width measurement value along the transverse direction are divided into n₁ - 1, n₂ - 1 and n₃ - 1 along the longitudinal direction for the front end portion of the rolling material 101, its middle portion and its tail end portion, and the sheet width and the temperature at each division point (i = 1 to n₁ + n₂ +n₃) along the longitudinal direction are stored. However, the values n₁, n₂ and n₃ 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. On the basis of this temperature, 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.
In the arithmetic unit 116, 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. In other words, on the basis of the distribution of the sum of the calculated sheet width change amounts along the longitudinal direction and the final target sheet width of the rolling material 101, 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. Here, the process steps described so far will be called the "first step" of the novel sheet width control method of the present invention.
Further, 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.
As to sheet width control accuracy, 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. When the conventional control method is applied, 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.
As a result, 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.

Industrial applicability

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.

Claims

A sheet width control method in hot rolling comprising the steps of:

measuring a sheet width distribution of a rolling material in a longitudinal direction and a temperature of said rolling material by a sheet width meter and a thermometer when said rolling material exists on the upstream side of a vertical rolling mill set as the object for controlling the sheet width in a rolling direction;

calculating the temperatures of said rolling material in each rolling mill and between said rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width in a rolling direction from the temperature of said rolling material so measured;

calculating a distribution of a sheet width change amount of said rolling material in 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 the rolling direction on the basis of the temperature of said rolling material so calculated and the sheet width distribution of said rolling material in the longitudinal direction so measured to thereby calculate the sheet width distribution of said rolling material in the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width;

calculating further the temperatures of said rolling material in each rolling mill and between said rolling mills on the downstream side of the vertical rolling mill set as the object for controlling the sheet width in the rolling direction, in a zone from a final roll stand of a finish rolling mill to a coiler and in a zone from said coiler to a cooling finish point;

calculating the distribution of the sheet width change amounts of said rolling material in 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 in the rolling direction, in the zone from said final roll stand of the finish rolling mill train to said coiler and in the zone from said coiler to the cooling finish point on the basis of the temperatures of said rolling material so calculated and the sheet width distribution of said rolling material along the longitudinal direction so calculated;

calculating a roll gap of the vertical rolling mill set as the object for controlling the sheet width along the longitudinal direction of said rolling material on the basis of the distribution of the sum of the sheet width change amounts of said rolling material along the longitudinal direction so calculated and a final target sheet width of said rolling material; and

conducting control so as to attain said roll gap.
A sheet width control method in hot rolling according to claim 1, comprising the steps of:

measuring the sheet width distribution of said rolling material along the longitudinal direction and the temperature distribution of said rolling material along the longitudinal direction by said sheet width meter and said thermometer when said 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 said rolling material along the longitudinal direction in each rolling mill and between said 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 said rolling material along the longitudinal direction so measured; and

calculating the distribution of the sheet width change amounts of said 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 said rolling material along the longitudinal direction so calculated and the sheet width distribution of said rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of said rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
A sheet width control method in hot rolling according to claim 1, comprising the steps of:

measuring the sheet width distribution of said rolling material along the longitudinal direction and the temperature distribution of said rolling material along a transverse direction by said sheet width meter and said thermometer when said 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 said rolling material along the transverse direction in each rolling mill and between said 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 said rolling material along the transverse direction so measured; and

calculating the distribution of the sheet width change amounts of said 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 said rolling material along transverse direction so calculated and the sheet width distribution of said rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of said rolling material along the longitudinal direction on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
A sheet width control method in hot rolling according to claim 1, comprising the steps of:

measuring the sheet width distribution of said rolling material along the longitudinal direction and the temperature distributions of said rolling material along both longitudinal and transverse directions by said sheet width meter and said thermometer when said 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 distributions of said rolling material along both longitudinal and transverse directions in each rolling mill and between said rolling mills on the upstream side of the vertical rolling mill set as the object for controlling the sheet width along the rolling direction and from the temperature distributions of said rolling material along both longitudinal and transverse directions so measured; and

calculating the distribution of the sheet width change amounts of said 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 said rolling material along both longitudinal and transverse directions so calculated and the sheet width distribution of said rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of said rolling material along the longitudinal direction on the entry side to the vertical rolling mill set as the object for controlling the sheet width.
A sheet width control method in hot rolling comprising the steps of:

measuring a temperature distribution of a rolling material along at least one of longitudinal and transverse directions and a sheet width distribution of said rolling material along a longitudinal direction by a thermometer and a sheet width meter when said 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 said rolling material along at least one of the longitudinal and transverse directions in each rolling mill and between said 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 said rolling material along at least one of the longitudinal and transverse directions so measured;

calculating a distribution of a sheet width change amount of said rolling material along the longitudinal direction occurring in each rolling pass on the upstream side to 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 said rolling material along at least one of the longitudinal and transverse directions so calculated and the sheet width distribution of said rolling material along the longitudinal direction so measured to thereby calculate the sheet width distribution of said 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 distribution of said rolling material along at least one of the longitudinal and transverse directions in each rolling mill and between said 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 a zone from final roll stand of finish rolling mill train to a coiler and in a zone from said coiler to a cooling finish point;

calculating a distribution of the sheet width change amounts of said rolling material along the longitudinal direction occurring in each rolling pass and between said rolling mills on the downstream side to the vertical rolling mill set as the object for controlling the sheet width along the rolling direction, in the zone from said final final roll stand of finish rolling mill train to said coiler and in the zone from said coiler to the cooling finish point on the basis of the temperature distribution of said rolling material along at least one of the longitudinal and transverse directions so calculated and the sheet width distribution of said rolling material in the longitudinal direction so calculated;

calculating a roll gap of the vertical rolling mill set as the object for controlling the sheet width along the longitudinal direction of said rolling material on the basis of the distribution of the sum of the sheet width change amounts of said rolling material along the longitudinal direction so calculated and a final target sheet width of said rolling material; and

conducting control so as to attain said roll gap.
A sheet width control method in hot rolling according to any one of claims 1 to 5, wherein the sheet width distribution of said rolling material along the longitudinal direction and the temperature distribution of said rolling material along at least one of the longitudinal and transverse directions are measured on the entry side of the vertical rolling mill set as the object for controlling the sheet width.
A sheet width control method in hot rolling according to any one of claims 1 to 6, wherein the sheet width of said rolling material is also controlled by controlling a tension between said finish rolling mill stands of said finish rolling mill train.
A sheet width control method in hot rolling according to any one of claims 1 to 7, wherein the vertical rolling mill set as the object for controlling the sheet width is arranged on the upstream side of the final horizontal roll stand of the finishing rolling mill train in the rolling direction.
A sheet width control method in hot rolling according to any one of claims 1 to 8, wherein the sheet width change amount of said rolling material in each rolling pass is calculated separately for a front end portion, a middle portion and a tail end portion.
A sheet width control method in hot rolling according to any one of claims 1 to 8, wherein the sheet width change amount of said rolling material in each rolling pass is calculated separately on the entry side, inside and the delivery side of the roll bite of said rolling mill.
A sheet width control method according to any one of claims 1 to 10, wherein the distribution of the sheet width change amounts of said rolling material along the longitudinal direction occurring in each rolling mill and between said rolling mills of said rolling mill train, and in a zone from said final stand of the finishing rolling mill train to said coiler is calculated on the basis of a sheet width change estimation formula corrected by use of either one, or both, of a correction coefficient expressed as a function of contents of component elements of said rolling material and a correction term, and a distribution of the gap of the vertical rolling mill set as the object for controlling the sheet width is calculated and set.
A sheet width control method according to claim 11, wherein said correction coefficient and said correction term for correcting said 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.
A sheet width control method according to claim 11 or 12, wherein said correction coefficient and said correction term for correcting said sheet width change estimation formula are separately calculated for a value before and after the phase transformation of said rolling material.
A sheet width control method according to any one of claims 11 to 13, wherein said correction coefficient and/or said correction term of said sheet width change estimation formula is learned on the basis of an actual measured value of the sheet width between the rolling mills and/or on the delivery side of the finishing rolling mill train.
A sheet width control method according to any one of claims 11 to 14, wherein said correction coefficient and/or said correction term of said sheet width change estimation formula is learned on the basis of a temperature actual measured value and/or a sheet crown actual measured value between the rolling mills and/or on the delivery side of the finishing rolling mill train.