WO2018117486A1 - Width control device of multi-stand rolling mill and method for controlling width thereof - Google Patents

Width control device of multi-stand rolling mill and method for controlling width thereof Download PDF

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Publication number
WO2018117486A1
WO2018117486A1 PCT/KR2017/014128 KR2017014128W WO2018117486A1 WO 2018117486 A1 WO2018117486 A1 WO 2018117486A1 KR 2017014128 W KR2017014128 W KR 2017014128W WO 2018117486 A1 WO2018117486 A1 WO 2018117486A1
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Prior art keywords
width
value
rolling mill
measured
rolling
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PCT/KR2017/014128
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French (fr)
Korean (ko)
Inventor
김성현
정제숙
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주식회사 포스코
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Publication of WO2018117486A1 publication Critical patent/WO2018117486A1/en

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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/16—Control of thickness, width, diameter or other transverse dimensions
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/04—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring thickness, width, diameter or other transverse dimensions of the product
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21B—ROLLING OF METAL
    • B21B38/00—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product
    • B21B38/06—Methods or devices for measuring, detecting or monitoring specially adapted for metal-rolling mills, e.g. position detection, inspection of the product for measuring tension or compression

Definitions

  • the present invention relates to a width control device for multi-stand rolling mill and its width control method.
  • the steel sheet produced through the continuous casting machine was rolled in a plurality of rough rolling mills continuously connected to control the width of the steel sheet to a target width.
  • the width control apparatus and method in the conventional continuous continuous rolling line between hot rolling and hot rolling has a problem that the width change and meandering of the steel sheet occurs between the plurality of rough rolling mill entrance and the plurality of rough rolling mill.
  • the width control device and method in the conventional continuous continuous rolling line between the hot rolling and hot rolling has a limit in precisely adjusting the width of the steel sheet to the target width, thereby limiting the quality of the steel sheet.
  • An embodiment of the present invention is to provide a width control device and a method for controlling the width of the multi-stand rolling mill that can accurately match the width of the steel sheet to the target width can improve the quality of the steel sheet.
  • the measuring unit for measuring at least one of the measured width value, the measured temperature value and the measured stress value of the steel sheet; And controlling the width rolling mill to perform the width rolling in the width rolling mill by using the edger target width value for each width rolling speed of the width rolling mill set according to the measured width value, and compensating stress according to at least one of the measured width value, the measured temperature value, and the measured stress value.
  • It may include a control unit for controlling the plurality of roughing mill to adjust the tension applied to the steel sheet in the plurality of roughing mill by using the target tension value calculated to compensate for the value.
  • the measuring unit includes a stress measuring unit for measuring the stress of the steel sheet located in the plurality of rough rolling period; A temperature measuring unit measuring a temperature of the steel plate positioned in the plurality of rough rolling periods; And it may include a width measuring unit for measuring the width of the steel sheet located in the rolling mill, or the width of the steel sheet located in the rear end of the plurality of rough rolling mill.
  • control unit includes an edger control unit for controlling the width of the rolling mill to perform the width rolling in the width rolling mill according to the edger target width value of each of the width rolling speed to the width of the steel sheet located in the mouth of the plurality of rough mills There is a number.
  • the controller calculates a first error compensation value between the measured width value and the final target width value so that the measured width value of the steel sheet located at the rear end of the plurality of rough mills is the set final target width value, and the calculated first It may include a feedback control unit for outputting the error compensation value as a feedback signal.
  • the controller calculates a second error compensation value between the edge target width value and the final target width value for each width rolling speed such that the edger target width value for each width rolling speed is a set final target width value, and the calculated second It may include a feed forward control unit for outputting the error compensation value as a feed forward signal.
  • the control unit includes a tension setting unit;
  • the tension setting unit includes: a stress distribution unit for allocating a stress ratio for each of the plurality of rough rolling mills according to the measured stress value at a predetermined ratio and outputting a required distribution compensation stress value;
  • a tension calculation unit configured to calculate a temperature compensation stress value for compensating for the width change of the steel sheet which changes according to the measured temperature value, and calculate a target tension value to be set using the distribution compensation stress value and the temperature compensation stress value.
  • the target tension value to be set corresponds to the strain values of the deformed steel sheet and the strain values of the deformed steel sheet when the width rolling mill located at the inlet side of the plurality of rough rolling mills and the plurality of rough rolling mills is operated. It can be calculated by further using the required target variable width value.
  • control unit may include a tension control unit for controlling the speed of the plurality of roughing mills to adjust the magnitude of the tension applied to the steel sheet in the plurality of roughing mills by using the target tension value.
  • the width rolling mill of the multi-stand rolling mill when the width rolling mill of the multi-stand rolling mill is operating, measuring the measured width value of the steel sheet; Controlling the width rolling mill to perform the width rolling in the width rolling mill by using the edger target width value for each width rolling speed of the width rolling mill set according to the measured width value; Measuring at least one of a measured width value, a measured temperature value, and a measured stress value of the steel sheet when a plurality of rough rolling mills of the multi-stand rolling mill are operated; And controlling the plurality of roughing mills to adjust the tension applied to the steel sheets in the plurality of roughing mills by using a target tension value calculated to compensate the compensation stress value according to at least one of the measured width value, the measured temperature value, and the measured stress value. It may include a step.
  • the width control apparatus and the width control method of the multi-stand rolling mill according to an embodiment of the present invention, it is possible to precisely match the width of the steel sheet to the target width can improve the quality of the steel sheet.
  • FIG. 1 is a plan view showing a width control device of the multi-stand rolling mill according to an embodiment of the present invention.
  • Figure 2 is a side view showing a width control device of the multi-stand rolling mill according to an embodiment of the present invention.
  • Figure 3 is a block diagram showing a width control device of the multi-stand rolling mill according to an embodiment of the present invention.
  • Figure 4 is a view for showing a process of adjusting the tension applied to the steel sheet using the measuring unit and control unit and the width rolling mill and rough rolling mill shown in FIG.
  • FIG. 5 is a graph illustrating a process of outputting a feedforward signal from the feedforward controller before being fed back by the feedback controller shown in FIG. 4.
  • FIG. 6 is a graph illustrating a process of calculating a target tension value to be set using a nonlinear function in the tension calculator shown in FIG. 4.
  • FIG. 7 is a graph showing a process of outputting a temperature compensation stress value in the tension calculation unit shown in FIG.
  • FIG. 8 is a graph illustrating a process of calculating a target tension value to be set using a tension model in the tension calculator shown in FIG. 4.
  • FIG. 9 is a flow chart showing a width control method using an example width control apparatus of multi-stand rolling mill according to an embodiment of the present invention.
  • FIG. 1 is a plan view showing the width control device of the multi-stand rolling mill according to an embodiment of the present invention
  • Figure 2 is a side view showing the width control device of the multi-stand rolling mill according to an embodiment of the present invention.
  • FIG 3 is a block diagram showing a width control apparatus for multi-stand rolling mill according to an embodiment of the present invention
  • Figure 4 is applied to the steel sheet using the measurement unit and the control unit shown in Figure 3 and the rolling mill and rough rolling mill The figure shows the process of adjusting the tension.
  • FIG. 5 is a graph illustrating a process of outputting a feedforward signal from the feedforward controller before being fed back by the feedback controller shown in FIG. 4, and FIG. 6 is a nonlinear function in the tension calculator shown in FIG. 4. This graph shows the process of calculating the target tension value to be set.
  • FIG. 7 is a graph illustrating a process of outputting a temperature compensation stress value in the tension calculator shown in FIG. 4, and FIG. 8 calculates a target tension value to be set using a tension model in the tension calculator shown in FIG. 4. This is a graph to show how to do it.
  • the width control device 100 of the multi-stand rolling mill includes a measuring unit 102 and a control unit 104.
  • the measuring unit 102 includes at least one of the measured width value, the measured temperature value, and the measured stress value of the steel sheet S when the width rolling mill 101 and the plurality of rough rolling mills 103 of the multi-stand rolling mill A operate. Measure
  • the measuring unit 102 may include a stress measuring unit 102a, a temperature measuring unit 102b, and a width measuring unit 102c.
  • the stress measuring unit 102a may measure the stress of the steel sheet S positioned between the plurality of rough rolling mills 103, and the temperature measuring unit 102b may measure the stress of the steel sheet S positioned in the plurality of rough rolling units 103. The temperature can be measured.
  • the width measuring unit 102c may measure the width of the steel sheet S located in the width rolling mill 102c or measure the width of the steel sheet S located at the rear ends of the plurality of rough rolling mills 103.
  • the control unit 104 uses the edge rolling unit 101 to perform the width rolling in the width rolling unit 101 by using the edger target width value of the width rolling speed 101 set in accordance with the measured width measured by the width measuring unit 102c. ).
  • the controller 104 compensates according to at least one of the measured width value measured by the width measuring unit 102c, the measured temperature value measured by the temperature measuring unit 102b, and the measured stress value measured by the stress measuring unit 102a.
  • the plurality of rough rolling mills 103 are controlled to adjust the tension applied to the steel sheet S by the plurality of rough rolling mills 103 using the calculated target tension value to compensate for the stress value.
  • control unit 104 may include an edger control unit 104a, a feedback control unit 104b, a feed forward control unit 104c, a tension setting unit 104d, and a tension control unit 104e.
  • the edger control unit 104a controls the width rolling mill 101 to perform the width rolling in the width rolling mill 101 according to the edger target width value for each width rolling speed, based on the width of the steel sheet S located at the mouth of the plurality of rough rolling mills 103. You can control it.
  • the feedback control unit 104b calculates a first error compensation value between the measured width value and the final target width value so that the measured width value of the steel sheet S located at the rear end of the plurality of rough rolling mills 103 becomes the set final target width value, and calculates the calculated first error value.
  • 1 Error compensation value can be output as feedback signal.
  • the feedback controller 104b may output the first error compensation value calculated by Equation 1 as a feedback signal.
  • the feedforward controller 104c calculates a second error compensation value between the edger target width value and the final target width value for each width rolling speed so that the edger target width value for each width rolling speed becomes a set target target width value, and calculates the calculated second error compensation value. Can be output as a feedforward signal.
  • the feedforward controller 104c may output the second error compensation value calculated by Equation 2 as a feedforward signal.
  • the feedforward controller 104c reaches the width measuring unit 102c when the section P in which the edger target width value for each width rolling speed gradually changes among the feedforward sections reaches the width measuring unit 102c.
  • the calculated second error compensation value can be output as a feedforward signal.
  • the tension setting unit 104d may include a stress distribution unit 104d-1 and a tension calculation unit 104d-2.
  • the stress distribution unit 104d-1 may allocate the stress ratio to each of the plurality of rough rolling mills 103 at a predetermined ratio according to the measured stress value measured by the stress measurement unit 102a to output the necessary distributed compensation stress value. have.
  • the stress distribution unit 104d-1 may output the distribution compensation stress value by the following Equation (3).
  • the tension calculator 104d-2 calculates a temperature compensation stress value for compensating for the width change of the steel sheet S that changes according to the measured temperature value measured by the temperature measuring part 102b, and calculates the calculated temperature compensation stress value and
  • the target tension value to be set can be calculated using the distribution compensation stress value distributed by the stress distribution unit 104d-1.
  • the target tension value to be set is based on the strain values of the deformed steel sheet and the strain values of the deformed steel sheet when the plurality of rough mills 103 and the width rolling mill 101 located at the inlet side of the plurality of rough mills 103 are operated.
  • the target width variable value required can be further calculated.
  • the tension calculator 104d-2 may output the temperature compensation stress value by Equation 4 as follows.
  • the tension calculator 104d-2 measures the measured temperature value of the steel sheet measured by the temperature measurer 102b. ) And the set reference temperature value ( Based on the stress change against the measured temperature change. ) To compensate.
  • the tension calculator 104d-2 may calculate a target tension value to be set by Equations 5 and 6 as follows.
  • This tension calculation unit 104d-2 is typically stressed as shown in FIG. And fluctuations
  • the target tension value to be set by using the exponential function or the nonlinear function of the cosh function ) Can be calculated.
  • the tension calculator 104d-2 is generally required to correspond to the reference tension value t1, the reference strain value t2 corresponding to the reference tension value, and the strain value of the deformed steel sheet.
  • a target tension value to be set by using a tension model representing a target width variable t3, a target width variable value, and a target tension value t4 to which the temperature compensation stress value is applied ( ) Can be calculated.
  • the tension control unit 104e may control the speeds of the plurality of rough mills 103 so as to adjust the magnitude of the tension applied to the steel sheets S by the plurality of rough mills 103 using the target tension value.
  • FIG. 9 is a flowchart illustrating an example of a width control method using the width control apparatus of the multi-stand rolling mill according to an embodiment of the present invention.
  • the width control method 900 using the width control device 100 of the multi-stand rolling mill (A) according to an embodiment of the present invention is the first step (S902) and the second step (S904) And a third step S906 and a fourth step S908.
  • the measured width value of the steel sheet S is measured by the width measuring unit 102c.
  • the second step S904 is performed by the width rolling unit 101 by using the edger target width value for each width rolling speed of the width rolling mill 101 set according to the measured width value measured by the width measuring unit 102c.
  • the edge rolling unit 101 is controlled by the edger control unit 104a.
  • the second step (S904) is the edger control unit so as to perform the width rolling in the width rolling mill 101 according to the edger target width value for each width rolling speed of the width of the steel sheet (S) located on the mouth of the plurality of rough rolling mill (103) It may be a step of controlling the width rolling mill 101 in 104a.
  • the second step (S904) calculates a second error compensation value between the edge target width value for each width rolling speed and the final target width value so that the edger target width value for each width rolling speed becomes the final target width value set in the feedforward controller 104c.
  • the second error compensation value may be further output by the feedforward controller 104c as a feedforward signal.
  • the third step S906 when the plurality of rough rolling mills 103 of the multi-stand rolling mill A operate, at least one of the measured width value, the measured temperature value, and the measured stress value of the steel sheet S is wide. It measures in the measuring part 102c.
  • the third step S906 includes a first error between the measured width value and the final target width value such that the measured width value of the steel sheet S positioned at the rear end of the plurality of rough rolling mills 103 becomes the final target width value set in the feedback controller 104b.
  • the compensation value may be calculated and the calculated first error compensation value may be further output from the feedback controller 104b as a feedback signal.
  • the fourth step S908 includes at least one of the measured width value measured by the width measuring unit 102c, the measured temperature value measured by the temperature measuring unit 102b, and the measured stress value measured by the stress measuring unit 102a.
  • the tension setting unit 104d and the tension control unit 104e to adjust the tension applied to the steel sheet (S) in the plurality of rough rolling mill 103 by using the target tension value calculated to compensate the compensation stress value according to Two roughing mills 103 are controlled.
  • the fourth step (S908) is the stress distribution unit for allocating the stress ratio for each of the plurality of rough rolling mill 103 by a predetermined ratio according to the measured stress value measured by the stress measuring unit 102a It may be a step of outputting at 104d-1.
  • the fourth step (S908) is calculated by the tension calculation unit 104d-2 a temperature compensation stress value for compensating for the width change of the steel sheet (S) that changes according to the measured temperature value measured by the temperature measuring unit (102b) And calculating the target tension value to be set by the tension calculating unit 104d-2 using the calculated temperature compensation stress value and the distribution compensation stress value distributed by the stress distribution unit 104d-1.
  • a temperature compensation stress value for compensating for the width change of the steel sheet (S) that changes according to the measured temperature value measured by the temperature measuring unit (102b)
  • calculating the target tension value to be set by the tension calculating unit 104d-2 using the calculated temperature compensation stress value and the distribution compensation stress value distributed by the stress distribution unit 104d-1.
  • the target tension value to be set is based on the strain values of the deformed steel sheet and the strain values of the deformed steel sheet when the plurality of rough mills 103 and the width rolling mill 101 located at the inlet side of the plurality of rough mills 103 are operated.
  • the target width variable value required can be further calculated.
  • the fourth step (S908) of the plurality of rough rolling mill 103 in the tension control unit 104e to adjust the magnitude of the tension applied to the steel sheet (S) in the plurality of rough rolling mill 103 using the target tension value may be a step of controlling the speed.
  • the width control apparatus 100 and the width control method 900 of the multi-stand rolling mill includes a measuring unit 102 and the control unit 104 and the first step (S902) and The second step S904, the third step S906, and the fourth step S908 are performed.
  • the width control apparatus 100 and the width control method 900 of the multi-stand rolling mill suppress the meandering and meandering of the steel sheet S at the entrance of the plurality of rough mills 103. Afterwards, it is possible to adjust the tension applied to the steel sheet (S) in the plurality of rough rolling mill (103).
  • the width control device 100 and the width control method 900 of the multi-stand rolling mill according to an embodiment of the present invention can accurately match the width of the steel sheet (S) to the target width of the steel sheet (S) Quality can be improved.

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Abstract

Disclosed are a width control device of a multi-stand rolling mill and a method for controlling a width thereof. The width control device of the multi-stand rolling mill and the method for controlling the width thereof, according to one embodiment of the present invention, comprise: a measurement unit for measuring at least one among an actual measurement width value, an actual measurement temperature value and an actual measurement stress value of a steel plate when an edger mill and a plurality of roughing mills in the multi-stand rolling mill operate; and a control unit for controlling the edger mill so as to allow the edger mill to perform width rolling by using an edger target width value, for each width rolling speed of the edger mill, set according to the actual measurement width value, and for controlling the plurality of roughing mills so as to allow the plurality of roughing mills to adjust tension applied to the steel plate by using a target tension value calculated so as to compensate a compensatory stress value according to at least one among the actual measurement width value, the actual measurement temperature value and the actual measurement stress value.

Description

다중스탠드압연밀의 폭 제어장치 및 그 폭 제어방법Width control device of multi-stand rolling mill and its width control method
본 발명은 다중스탠드압연밀의 폭 제어장치 및 그 폭 제어방법에 관한 것이다.The present invention relates to a width control device for multi-stand rolling mill and its width control method.
일반적으로, 종래 미니밀 공정에서는 연속주조기를 통해 생산한 강판을 연속해서 이어지는 복수개의 조압연기에서 압연하여 강판의 폭을 목표 폭으로 제어하여 제조하였다.In general, in the conventional mini mill process, the steel sheet produced through the continuous casting machine was rolled in a plurality of rough rolling mills continuously connected to control the width of the steel sheet to a target width.
일예로, 대한민국등록특허공보 10-1461734(2014.11.07)에 기재된 바와 같이, 폭 제어 장치를 이용하여 미니밀 공정에서 강판의 폭을 목표 폭으로 제어할 수 있는 연주 및 열연 간 직결 연연속 압연 라인에서의 폭 제어장치 및 방법이 개시되었다.For example, as described in the Republic of Korea Patent Publication No. 10-1461734 (2014.11.07), in the direct continuous continuous rolling line between the performance and hot rolling that can control the width of the steel sheet to the target width in the mini mill process using a width control device The width control device and method of the present invention were disclosed.
그런데, 종래 연주 및 열연 간 직결 연연속 압연 라인에서의 폭 제어장치 및 방법은 복수개의 조압연기 입측과 복수개의 조압연기사이에서 강판의 폭변화와 사행이 발생하는 문제점이 있었다.By the way, the width control apparatus and method in the conventional continuous continuous rolling line between hot rolling and hot rolling has a problem that the width change and meandering of the steel sheet occurs between the plurality of rough rolling mill entrance and the plurality of rough rolling mill.
이러한, 종래 연주 및 열연 간 직결 연연속 압연 라인에서의 폭 제어장치 및 방법은 강판의 폭을 정밀하게 목표 폭으로 맞추는데에 한계가 있어 강판의 품질을 향상시키는데에 한계가 있었다.The width control device and method in the conventional continuous continuous rolling line between the hot rolling and hot rolling has a limit in precisely adjusting the width of the steel sheet to the target width, thereby limiting the quality of the steel sheet.
따라서, 최근에는 복수개의 조압연기 입측과 복수개의 조압연기사이에서 강판의 폭변화와 사행이 발생하더라도 강판의 폭을 정밀하게 목표 폭으로 맞춰 강판의 품질을 향상시키기 위한 개선된 장치 및 그 방법의 연구가 지속적으로 행해져 오고 있다.Therefore, in recent years, a study of an improved apparatus and method for improving the quality of a steel sheet by precisely adjusting the width of the steel sheet to a target width even when a width change and meandering of the steel sheet occur between a plurality of rough rolling mill entrances and a plurality of rough rolling mills Has been continually being done.
본 발명의 실시 예는, 강판의 폭을 정밀하게 목표 폭으로 맞출 수가 있어 강판의 품질을 향상시킬 수가 있는 다중스탠드압연밀의 폭 제어장치 및 그 폭 제어방법을 제공하고자 한다.An embodiment of the present invention is to provide a width control device and a method for controlling the width of the multi-stand rolling mill that can accurately match the width of the steel sheet to the target width can improve the quality of the steel sheet.
본 발명의 일 측면에 따르면, 다중스탠드 압연밀의 폭압연기 및 복수개의 조압연기가 동작할 때에, 강판의 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나를 측정하는 측정부; 및 실측 폭값에 따라 설정된 폭압연기의 폭압연 속도별 엣저 목표 폭값을 이용하여 폭압연기에서 폭압연을 수행하도록 폭압연기를 제어하고, 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나에 따라 보상응력값을 보상하기 위해 계산된 목표 장력값을 이용하여 복수개의 조압연기에서 강판에 인가하는 장력을 조절하도록 복수개의 조압연기를 제어하는 제어부를 포함할 수가 있다.According to an aspect of the present invention, when the width rolling mill and the plurality of rough rolling mill of the multi-stand rolling mill, the measuring unit for measuring at least one of the measured width value, the measured temperature value and the measured stress value of the steel sheet; And controlling the width rolling mill to perform the width rolling in the width rolling mill by using the edger target width value for each width rolling speed of the width rolling mill set according to the measured width value, and compensating stress according to at least one of the measured width value, the measured temperature value, and the measured stress value. It may include a control unit for controlling the plurality of roughing mill to adjust the tension applied to the steel sheet in the plurality of roughing mill by using the target tension value calculated to compensate for the value.
본 발명의 다른 측면에 따르면, 측정부는 복수개의 조압연기간에 위치한 강판의 응력을 측정하는 응력 측정부; 복수개의 조압연기간에 위치한 강판의 온도를 측정하는 온도 측정부; 및 폭압연기에 위치한 강판의 폭을 측정하거나, 복수개의 조압연기의 후단에 위치한 강판의 폭을 측정하는 폭 측정부를 포함할 수가 있다.According to another aspect of the present invention, the measuring unit includes a stress measuring unit for measuring the stress of the steel sheet located in the plurality of rough rolling period; A temperature measuring unit measuring a temperature of the steel plate positioned in the plurality of rough rolling periods; And it may include a width measuring unit for measuring the width of the steel sheet located in the rolling mill, or the width of the steel sheet located in the rear end of the plurality of rough rolling mill.
본 발명의 또 다른 측면에 따르면, 제어부는 복수개의 조압연기의 입측에 위치한 강판의 폭을 폭압연 속도별 엣저 목표 폭값에 맞춰 폭압연기에서 폭압연을 수행하도록 폭압연기를 제어하는 엣저 제어부를 포함할 수가 있다.According to another aspect of the present invention, the control unit includes an edger control unit for controlling the width of the rolling mill to perform the width rolling in the width rolling mill according to the edger target width value of each of the width rolling speed to the width of the steel sheet located in the mouth of the plurality of rough mills There is a number.
본 발명의 또 다른 측면에 따르면, 제어부는 복수개의 조압연기의 후단에 위치한 강판의 실측 폭값이 설정된 최종 목표 폭값이 되도록 실측 폭값과 최종 목표 폭값간의 제 1 오차보상값을 계산하고, 계산된 제 1 오차보상값을 피드백 신호로 출력하는 피드백 제어부를 포함할 수가 있다.According to another aspect of the present invention, the controller calculates a first error compensation value between the measured width value and the final target width value so that the measured width value of the steel sheet located at the rear end of the plurality of rough mills is the set final target width value, and the calculated first It may include a feedback control unit for outputting the error compensation value as a feedback signal.
본 발명의 또 다른 측면에 따르면, 제어부는 폭압연 속도별 엣저 목표 폭값이 설정된 최종 목표 폭값이 되도록 폭압연 속도별 엣저 목표 폭값과 최종 목표 폭값간의 제 2 오차보상값을 계산하고, 계산된 제 2 오차보상값을 피드포워드 신호로 출력하는 피드포워드 제어부를 포함할 수가 있다.According to another aspect of the present invention, the controller calculates a second error compensation value between the edge target width value and the final target width value for each width rolling speed such that the edger target width value for each width rolling speed is a set final target width value, and the calculated second It may include a feed forward control unit for outputting the error compensation value as a feed forward signal.
본 발명의 또 다른 측면에 따르면, 제어부는 장력 설정부를 포함하고; 장력 설정부는 실측 응력값에 따라 복수개의 조압연기 각각에 대한 응력비율을 일정 비율로 할당하여 필요한 분배보상응력값을 출력하는 응력 배분부; 및 실측 온도값에 따라 변화하는 강판의 폭 변화를 보상하는 온도보상응력값을 계산하고, 분배보상응력값과 온도보상응력값을 이용하여 설정할 목표 장력값을 계산하는 장력 계산부를 포함할 수가 있다.According to another aspect of the present invention, the control unit includes a tension setting unit; The tension setting unit includes: a stress distribution unit for allocating a stress ratio for each of the plurality of rough rolling mills according to the measured stress value at a predetermined ratio and outputting a required distribution compensation stress value; And a tension calculation unit configured to calculate a temperature compensation stress value for compensating for the width change of the steel sheet which changes according to the measured temperature value, and calculate a target tension value to be set using the distribution compensation stress value and the temperature compensation stress value.
본 발명의 또 다른 측면에 따르면, 설정할 목표 장력값은 복수개의 조압연기 및 복수개의 조압연기의 입측에 위치한 폭압연기가 동작할 때에 변형된 강판의 변형율값과, 변형된 강판의 변형율값에 대응하여 필요한 목표 폭 가변값을 더 이용하여 계산할 수가 있다.According to another aspect of the present invention, the target tension value to be set corresponds to the strain values of the deformed steel sheet and the strain values of the deformed steel sheet when the width rolling mill located at the inlet side of the plurality of rough rolling mills and the plurality of rough rolling mills is operated. It can be calculated by further using the required target variable width value.
본 발명의 또 다른 측면에 따르면, 제어부는 목표 장력값을 이용하여 복수개의 조압연기에서 강판에 인가하는 장력의 크기를 조절하도록 복수개의 조압연기의 속도를 제어하는 장력 제어부를 포함할 수가 있다.According to another aspect of the present invention, the control unit may include a tension control unit for controlling the speed of the plurality of roughing mills to adjust the magnitude of the tension applied to the steel sheet in the plurality of roughing mills by using the target tension value.
본 발명의 또 다른 측면에 따르면, 다중스탠드 압연밀의 폭압연기가 동작할 때에, 강판의 실측 폭값을 측정하는 단계; 실측 폭값에 따라 설정된 폭압연기의 폭압연 속도별 엣저 목표 폭값을 이용하여 폭압연기에서 폭압연을 수행하도록 폭압연기를 제어하는 단계; 다중스탠드 압연밀의 복수개의 조압연기가 동작할 때에, 강판의 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나를 측정하는 단계; 및 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나에 따라 보상응력값을 보상하기 위해 계산된 목표 장력값을 이용하여 복수개의 조압연기에서 강판에 인가하는 장력을 조절하도록 복수개의 조압연기를 제어하는 단계를 포함할 수가 있다.According to another aspect of the present invention, when the width rolling mill of the multi-stand rolling mill is operating, measuring the measured width value of the steel sheet; Controlling the width rolling mill to perform the width rolling in the width rolling mill by using the edger target width value for each width rolling speed of the width rolling mill set according to the measured width value; Measuring at least one of a measured width value, a measured temperature value, and a measured stress value of the steel sheet when a plurality of rough rolling mills of the multi-stand rolling mill are operated; And controlling the plurality of roughing mills to adjust the tension applied to the steel sheets in the plurality of roughing mills by using a target tension value calculated to compensate the compensation stress value according to at least one of the measured width value, the measured temperature value, and the measured stress value. It may include a step.
본 발명의 실시 예에 따른 다중스탠드압연밀의 폭 제어장치 및 그 폭 제어방법은, 강판의 폭을 정밀하게 목표 폭으로 맞출 수가 있어 강판의 품질을 향상시킬 수 있다.In the width control apparatus and the width control method of the multi-stand rolling mill according to an embodiment of the present invention, it is possible to precisely match the width of the steel sheet to the target width can improve the quality of the steel sheet.
도 1은 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 나타낸 평면도.1 is a plan view showing a width control device of the multi-stand rolling mill according to an embodiment of the present invention.
도 2는 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 나타낸 측면도.Figure 2 is a side view showing a width control device of the multi-stand rolling mill according to an embodiment of the present invention.
도 3은 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 나타낸 블럭 구성도.Figure 3 is a block diagram showing a width control device of the multi-stand rolling mill according to an embodiment of the present invention.
도 4는 도 3에 도시한 측정부 및 제어부와 폭압연기 및 조압연기를 이용하여 강판에 인가하는 장력을 조절하는 과정을 보여주기 위한 도면.Figure 4 is a view for showing a process of adjusting the tension applied to the steel sheet using the measuring unit and control unit and the width rolling mill and rough rolling mill shown in FIG.
도 5는 도 4에 도시한 피드백 제어부에 의해 피드백 되기 전에 피드포워드 제어부에서 피드포워드 신호를 출력하는 과정을 보여주기 위한 그래프.FIG. 5 is a graph illustrating a process of outputting a feedforward signal from the feedforward controller before being fed back by the feedback controller shown in FIG. 4.
도 6은 도 4에 도시한 장력 계산부에서 비선형 함수를 이용하여 설정할 목표 장력값을 계산하는 과정을 보여주기 위한 그래프.6 is a graph illustrating a process of calculating a target tension value to be set using a nonlinear function in the tension calculator shown in FIG. 4.
도 7은 도 4에 도시한 장력 계산부에서 온도보상응력값을 출력하는 과정을 보여주기 위한 그래프.7 is a graph showing a process of outputting a temperature compensation stress value in the tension calculation unit shown in FIG.
도 8은 도 4에 도시한 장력 계산부에서 장력 모델을 이용하여 설정할 목표 장력값을 계산하는 과정을 보여주기 위한 그래프.8 is a graph illustrating a process of calculating a target tension value to be set using a tension model in the tension calculator shown in FIG. 4.
도 9는 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 이용한 폭 제어방법을 일예로 나타낸 순서도.9 is a flow chart showing a width control method using an example width control apparatus of multi-stand rolling mill according to an embodiment of the present invention.
이하에서는 본 발명의 실시 예를 첨부 도면을 참조하여 상세히 설명한다. 이하의 실시 예는 본 발명이 속하는 기술분야에서 통상의 지식을 가진 자에게 본 발명의 사상을 충분히 전달하기 위해 제시하는 것이다. 본 발명은 여기서 제시한 실시 예만으로 한정되지 않고 다른 형태로 구체화될 수도 있다. 도면은 본 발명을 명확히 하기 위해 설명과 관계없는 부분의 도시를 생략하고, 이해를 돕기 위해 구성요소의 크기를 다소 과장하여 표현할 수 있다.Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings. The following embodiments are presented to sufficiently convey the spirit of the present invention to those skilled in the art. The present invention is not limited to the embodiments presented herein but may be embodied in other forms. The drawings may omit illustrations of parts not related to the description in order to clarify the present invention, and may be exaggerated to some extent in order to facilitate understanding.
도 1은 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 나타낸 평면도이고, 도 2는 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 나타낸 측면도이다.1 is a plan view showing the width control device of the multi-stand rolling mill according to an embodiment of the present invention, Figure 2 is a side view showing the width control device of the multi-stand rolling mill according to an embodiment of the present invention.
도 3은 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 나타낸 블럭 구성도이고, 도 4는 도 3에 도시한 측정부 및 제어부와 폭압연기 및 조압연기를 이용하여 강판에 인가하는 장력을 조절하는 과정을 보여주기 위한 도면이다.3 is a block diagram showing a width control apparatus for multi-stand rolling mill according to an embodiment of the present invention, Figure 4 is applied to the steel sheet using the measurement unit and the control unit shown in Figure 3 and the rolling mill and rough rolling mill The figure shows the process of adjusting the tension.
도 5는 도 4에 도시한 피드백 제어부에 의해 피드백 되기 전에 피드포워드 제어부에서 피드포워드 신호를 출력하는 과정을 보여주기 위한 그래프이고, 도 6은 도 4에 도시한 장력 계산부에서 비선형 함수를 이용하여 설정할 목표 장력값을 계산하는 과정을 보여주기 위한 그래프이다.FIG. 5 is a graph illustrating a process of outputting a feedforward signal from the feedforward controller before being fed back by the feedback controller shown in FIG. 4, and FIG. 6 is a nonlinear function in the tension calculator shown in FIG. 4. This graph shows the process of calculating the target tension value to be set.
도 7은 도 4에 도시한 장력 계산부에서 온도보상응력값을 출력하는 과정을 보여주기 위한 그래프이고, 도 8은 도 4에 도시한 장력 계산부에서 장력 모델을 이용하여 설정할 목표 장력값을 계산하는 과정을 보여주기 위한 그래프이다.FIG. 7 is a graph illustrating a process of outputting a temperature compensation stress value in the tension calculator shown in FIG. 4, and FIG. 8 calculates a target tension value to be set using a tension model in the tension calculator shown in FIG. 4. This is a graph to show how to do it.
도 1 내지 도 8을 참조하면, 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치(100)는 측정부(102) 및 제어부(104)를 포함한다.1 to 8, the width control device 100 of the multi-stand rolling mill according to an embodiment of the present invention includes a measuring unit 102 and a control unit 104.
측정부(102)는 다중스탠드 압연밀(A)의 폭압연기(101) 및 복수개의 조압연기(103)가 동작할 때에, 강판(S)의 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나를 측정한다.The measuring unit 102 includes at least one of the measured width value, the measured temperature value, and the measured stress value of the steel sheet S when the width rolling mill 101 and the plurality of rough rolling mills 103 of the multi-stand rolling mill A operate. Measure
이때, 측정부(102)는 응력 측정부(102a)와 온도 측정부(102b) 및 폭 측정부(102c)를 포함할 수가 있다.In this case, the measuring unit 102 may include a stress measuring unit 102a, a temperature measuring unit 102b, and a width measuring unit 102c.
응력 측정부(102a)는 복수개의 조압연기(103)간에 위치한 강판(S)의 응력을 측정할 수가 있고, 온도 측정부(102b)는 복수개의 조압연(103)기간에 위치한 강판(S)의 온도를 측정할 수가 있다.The stress measuring unit 102a may measure the stress of the steel sheet S positioned between the plurality of rough rolling mills 103, and the temperature measuring unit 102b may measure the stress of the steel sheet S positioned in the plurality of rough rolling units 103. The temperature can be measured.
폭 측정부(102c)는 폭압연기(102c)에 위치한 강판(S)의 폭을 측정하거나, 복수개의 조압연기(103)의 후단에 위치한 강판(S)의 폭을 측정할 수가 있다.The width measuring unit 102c may measure the width of the steel sheet S located in the width rolling mill 102c or measure the width of the steel sheet S located at the rear ends of the plurality of rough rolling mills 103.
제어부(104)는 폭 측정부(102c)에서 측정한 실측 폭값에 따라 설정된 폭압연기(101)의 폭압연 속도별 엣저 목표 폭값을 이용하여 폭압연기(101)에서 폭압연을 수행하도록 폭압연기(101)를 제어한다.The control unit 104 uses the edge rolling unit 101 to perform the width rolling in the width rolling unit 101 by using the edger target width value of the width rolling speed 101 set in accordance with the measured width measured by the width measuring unit 102c. ).
또한, 제어부(104)는 폭 측정부(102c)에서 측정한 실측 폭값과 온도 측정부(102b)에서 측정한 실측 온도값 및 응력 측정부(102a)에서 측정한 실측 응력값중 적어도 하나에 따라 보상응력값을 보상하기 위해 계산된 목표 장력값을 이용하여 복수개의 조압연기(103)에서 강판(S)에 인가하는 장력을 조절하도록 복수개의 조압연기(103)를 제어한다.In addition, the controller 104 compensates according to at least one of the measured width value measured by the width measuring unit 102c, the measured temperature value measured by the temperature measuring unit 102b, and the measured stress value measured by the stress measuring unit 102a. The plurality of rough rolling mills 103 are controlled to adjust the tension applied to the steel sheet S by the plurality of rough rolling mills 103 using the calculated target tension value to compensate for the stress value.
이때, 제어부(104)는 엣저 제어부(104a)와 피드백 제어부(104b) 및 피드포워드 제어부(104c)와 장력 설정부(104d) 및 장력 제어부(104e)를 포함할 수가 있다.At this time, the control unit 104 may include an edger control unit 104a, a feedback control unit 104b, a feed forward control unit 104c, a tension setting unit 104d, and a tension control unit 104e.
엣저 제어부(104a)는 복수개의 조압연기(103)의 입측에 위치한 강판(S)의 폭을 폭압연 속도별 엣저 목표 폭값에 맞춰 폭압연기(101)에서 폭압연을 수행하도록 폭압연기(101)를 제어할 수가 있다.The edger control unit 104a controls the width rolling mill 101 to perform the width rolling in the width rolling mill 101 according to the edger target width value for each width rolling speed, based on the width of the steel sheet S located at the mouth of the plurality of rough rolling mills 103. You can control it.
피드백 제어부(104b)는 복수개의 조압연기(103)의 후단에 위치한 강판(S)의 실측 폭값이 설정된 최종 목표 폭값이 되도록 실측 폭값과 최종 목표 폭값간의 제 1 오차보상값을 계산하고, 계산된 제 1 오차보상값을 피드백 신호로 출력할 수가 있다.The feedback control unit 104b calculates a first error compensation value between the measured width value and the final target width value so that the measured width value of the steel sheet S located at the rear end of the plurality of rough rolling mills 103 becomes the set final target width value, and calculates the calculated first error value. 1 Error compensation value can be output as feedback signal.
일예로, 피드백 제어부(104b)는 하기와 같은 <수학식 1>에 의해 계산된 제 1 오차보상값을 피드백 신호로 출력할 수가 있다.For example, the feedback controller 104b may output the first error compensation value calculated by Equation 1 as a feedback signal.
<수학식 1><Equation 1>
Figure PCTKR2017014128-appb-I000001
Figure PCTKR2017014128-appb-I000001
여기서,
Figure PCTKR2017014128-appb-I000002
은 i번째 피드백 신호일 수가 있고,
Figure PCTKR2017014128-appb-I000003
은 조압연기의 후단에 위치한 강판의 실측 폭값일 수가 있으며,
Figure PCTKR2017014128-appb-I000004
는 강판의 최종 목표 폭값일 수가 있고,
Figure PCTKR2017014128-appb-I000005
는 i번째 피드백 신호를 출력하기 위한 피드백 게인값일 수가 있으며,
Figure PCTKR2017014128-appb-I000006
는 장력값일 수가 있다.here,
Figure PCTKR2017014128-appb-I000002
May be the i th feedback signal,
Figure PCTKR2017014128-appb-I000003
May be the measured width of the steel plate located at the rear end of the roughing mill,
Figure PCTKR2017014128-appb-I000004
May be the final target width value of the steel sheet,
Figure PCTKR2017014128-appb-I000005
May be a feedback gain value for outputting the i-th feedback signal,
Figure PCTKR2017014128-appb-I000006
May be a tension value.
피드포워드 제어부(104c)는 폭압연 속도별 엣저 목표 폭값이 설정된 최종 목표 폭값이 되도록 폭압연 속도별 엣저 목표 폭값과 최종 목표 폭값간의 제 2 오차보상값을 계산하고, 계산된 제 2 오차보상값을 피드포워드 신호로 출력할 수가 있다.The feedforward controller 104c calculates a second error compensation value between the edger target width value and the final target width value for each width rolling speed so that the edger target width value for each width rolling speed becomes a set target target width value, and calculates the calculated second error compensation value. Can be output as a feedforward signal.
일예로, 피드포워드 제어부(104c)는 하기와 같은 <수학식 2>에 의해 계산된 제 2 오차보상값을 피드포워드 신호로 출력할 수가 있다.For example, the feedforward controller 104c may output the second error compensation value calculated by Equation 2 as a feedforward signal.
<수학식 2><Equation 2>
Figure PCTKR2017014128-appb-I000007
Figure PCTKR2017014128-appb-I000007
여기서,
Figure PCTKR2017014128-appb-I000008
는 i번째 조압연기에서의 피드포워드 신호일 수가 있고,
Figure PCTKR2017014128-appb-I000009
는 i번째 조압연기에 도달한 폭압연 속도별 엣저 목표 폭값일 수가 있으며,
Figure PCTKR2017014128-appb-I000010
는 i번째 조압연기에서 강판의 최종 목표 폭값일 수가 있고,
Figure PCTKR2017014128-appb-I000011
는 i번째 피드포워드 신호를 출력하기 위한 피드포워드 게인값일 수가 있다.here,
Figure PCTKR2017014128-appb-I000008
May be a feedforward signal in the i th rough mill,
Figure PCTKR2017014128-appb-I000009
May be the edger target width value for each rolling rolling speed that reaches the i th rough rolling mill.
Figure PCTKR2017014128-appb-I000010
May be the final target width value of the steel sheet in the i roughing mill,
Figure PCTKR2017014128-appb-I000011
May be a feedforward gain value for outputting the i th feedforward signal.
이러한, 피드포워드 제어부(104c)는 도 5에 도시된 바와 같이 피드포워드 구간중 폭압연 속도별 엣저 목표 폭값이 서서히 변하는 구간(P)이 폭 측정부(102c)에 도달하여 피드백 제어부(104b)에 의해 피드백 되기 전에, 계산된 제 2 오차보상값을 피드포워드 신호로 출력할 수가 있게 된다.As shown in FIG. 5, the feedforward controller 104c reaches the width measuring unit 102c when the section P in which the edger target width value for each width rolling speed gradually changes among the feedforward sections reaches the width measuring unit 102c. Before being fed back, the calculated second error compensation value can be output as a feedforward signal.
장력 설정부(104d)는 응력 배분부(104d-1) 및 장력 계산부(104d-2)를 포함할 수가 있다.The tension setting unit 104d may include a stress distribution unit 104d-1 and a tension calculation unit 104d-2.
응력 배분부(104d-1)는 응력 측정부(102a)에서 측정한 실측 응력값에 따라 복수개의 조압연기(103) 각각에 대한 응력비율을 일정 비율로 할당하여 필요한 분배보상응력값을 출력할 수가 있다.The stress distribution unit 104d-1 may allocate the stress ratio to each of the plurality of rough rolling mills 103 at a predetermined ratio according to the measured stress value measured by the stress measurement unit 102a to output the necessary distributed compensation stress value. have.
일예로, 응력 배분부(104d-1)는 하기와 같은 <수학식 3>에 의해 분배보상응력값을 출력할 수가 있다.For example, the stress distribution unit 104d-1 may output the distribution compensation stress value by the following Equation (3).
<수학식 3><Equation 3>
Figure PCTKR2017014128-appb-I000012
Figure PCTKR2017014128-appb-I000012
여기서,
Figure PCTKR2017014128-appb-I000013
는 i번째 분배보상응력값일 수가 있고,
Figure PCTKR2017014128-appb-I000014
는 i번째 목표응력비율일 수가 있으며,
Figure PCTKR2017014128-appb-I000015
는 i번째 실측 응력값일 수가 있고,
Figure PCTKR2017014128-appb-I000016
는 장력값일 수가 있다.here,
Figure PCTKR2017014128-appb-I000013
May be the i-th distributed compensation stress value,
Figure PCTKR2017014128-appb-I000014
Can be the i-th target stress ratio,
Figure PCTKR2017014128-appb-I000015
Can be the i-th measured stress value,
Figure PCTKR2017014128-appb-I000016
May be a tension value.
장력 계산부(104d-2)는 온도 측정부(102b)에 측정한 실측 온도값에 따라 변화하는 강판(S)의 폭 변화를 보상하는 온도보상응력값을 계산하고, 계산된 온도보상응력값 및 응력 배분부(104d-1)에 의해 분배된 분배보상응력값을 이용하여 설정할 목표 장력값을 계산할 수가 있다.The tension calculator 104d-2 calculates a temperature compensation stress value for compensating for the width change of the steel sheet S that changes according to the measured temperature value measured by the temperature measuring part 102b, and calculates the calculated temperature compensation stress value and The target tension value to be set can be calculated using the distribution compensation stress value distributed by the stress distribution unit 104d-1.
여기서, 설정할 목표 장력값은 복수개의 조압연기(103) 및 복수개의 조압연기(103)의 입측에 위치한 폭압연기(101)가 동작할 때에 변형된 강판의 변형율값과, 변형된 강판의 변형율값에 대응하여 필요한 목표 폭 가변값을 더 이용하여 계산할 수가 있다.Here, the target tension value to be set is based on the strain values of the deformed steel sheet and the strain values of the deformed steel sheet when the plurality of rough mills 103 and the width rolling mill 101 located at the inlet side of the plurality of rough mills 103 are operated. Correspondingly, the target width variable value required can be further calculated.
일예로, 장력 계산부(104d-2)는 하기와 같은 <수학식 4>에 의해 온도보상응력값을 출력할 수가 있다.For example, the tension calculator 104d-2 may output the temperature compensation stress value by Equation 4 as follows.
<수학식 4><Equation 4>
Figure PCTKR2017014128-appb-I000017
Figure PCTKR2017014128-appb-I000017
여기서,
Figure PCTKR2017014128-appb-I000018
는 온도보상응력값일 수가 있고,
Figure PCTKR2017014128-appb-I000019
는 실측 온도값 변화에 대한 응력 변화값일 수가 있으며,
Figure PCTKR2017014128-appb-I000020
는 온도 측정부에서 측정한 강판의 실측 온도값일 수가 있고,
Figure PCTKR2017014128-appb-I000021
는 설정된 기준 온도값일 수가 있다.here,
Figure PCTKR2017014128-appb-I000018
Can be the temperature compensation stress value,
Figure PCTKR2017014128-appb-I000019
May be the change in stress with respect to the change in the measured temperature value,
Figure PCTKR2017014128-appb-I000020
May be the measured temperature value of the steel sheet measured by the temperature measuring unit,
Figure PCTKR2017014128-appb-I000021
May be a set reference temperature value.
이러한, 장력 계산부(104d-2)는 도 7에 도시된 바와 같이 온도 측정부(102b)에서 측정한 강판의 실측 온도값(
Figure PCTKR2017014128-appb-I000022
)과 설정된 기준 온도값(
Figure PCTKR2017014128-appb-I000023
)을 기초로 실측 온도값 변화에 대한 응력 변화를 온도보상응력값(
Figure PCTKR2017014128-appb-I000024
)으로 보상할 수가 있게 된다.As shown in FIG. 7, the tension calculator 104d-2 measures the measured temperature value of the steel sheet measured by the temperature measurer 102b.
Figure PCTKR2017014128-appb-I000022
) And the set reference temperature value (
Figure PCTKR2017014128-appb-I000023
Based on the stress change against the measured temperature change.
Figure PCTKR2017014128-appb-I000024
) To compensate.
다른 일예로, 장력 계산부(104d-2)는 하기와 같은 <수학식 5> 및 <수학식 6>에 의해 설정할 목표 장력값을 계산할 수가 있다.As another example, the tension calculator 104d-2 may calculate a target tension value to be set by Equations 5 and 6 as follows.
<수학식 5><Equation 5>
Figure PCTKR2017014128-appb-I000025
Figure PCTKR2017014128-appb-I000025
<수학식 6><Equation 6>
Figure PCTKR2017014128-appb-I000026
Figure PCTKR2017014128-appb-I000026
여기서,
Figure PCTKR2017014128-appb-I000027
는 설정할 목표 장력값일 수가 있고,
Figure PCTKR2017014128-appb-I000028
는 복수개의 조압연기 및 폭압연기가 동작할 때에 변형된 강판의 변형율값에 대응하여 필요한 최종 목표 폭 가변값일 수가 있으며,
Figure PCTKR2017014128-appb-I000029
는 온도보상응력값일 수가 있다.here,
Figure PCTKR2017014128-appb-I000027
Can be the target tension value to set,
Figure PCTKR2017014128-appb-I000028
May be the final target width variable value required to correspond to the strain value of the deformed steel sheet when a plurality of roughing and width rolling mills are operated,
Figure PCTKR2017014128-appb-I000029
May be the temperature compensation stress value.
이때,
Figure PCTKR2017014128-appb-I000030
는 기준 장력값에 해당하는 기준 변형율값일 수가 있고,
Figure PCTKR2017014128-appb-I000031
는 변형된 강판의 변형율값에 대응하여 필요한 목표 폭 가변값을 출력하도록 i번째 조압연기에서의 피드포워드 신호일 수가 있으며,
Figure PCTKR2017014128-appb-I000032
은 변형된 강판의 변형율값에 대응하여 필요한 목표 폭 가변값을 출력하도록 i번째 피드백 신호일 수가 있고,
Figure PCTKR2017014128-appb-I000033
는 i번째 분배보상응력값일 수가 있다.At this time,
Figure PCTKR2017014128-appb-I000030
May be a reference strain value corresponding to the reference tension value,
Figure PCTKR2017014128-appb-I000031
May be a feedforward signal from the i-th rough mill to output a desired target variable width value corresponding to the strain value of the deformed steel sheet,
Figure PCTKR2017014128-appb-I000032
May be an i-th feedback signal to output a desired target width variable value corresponding to the strain value of the deformed steel sheet,
Figure PCTKR2017014128-appb-I000033
May be the i-th distributed compensation stress value.
이러한, 장력 계산부(104d-2)는 도 6에 도시된 바와 같이 통상적으로 응력
Figure PCTKR2017014128-appb-I000034
과 폭변동
Figure PCTKR2017014128-appb-I000035
의 상관관계를 나타내는 exponential 함수 또는 cosh 함수의 비선형 함수를 이용하여 설정할 목표 장력값(
Figure PCTKR2017014128-appb-I000036
)을 계산할 수가 있다.This tension calculation unit 104d-2 is typically stressed as shown in FIG.
Figure PCTKR2017014128-appb-I000034
And fluctuations
Figure PCTKR2017014128-appb-I000035
The target tension value to be set by using the exponential function or the nonlinear function of the cosh function
Figure PCTKR2017014128-appb-I000036
) Can be calculated.
또한, 장력 계산부(104d-2)는 도 8에 도시된 바와 같이 통상적으로 기준 장력값(t1), 기준 장력값에 해당하는 기준 변형율값(t2), 변형된 강판의 변형율값에 대응하여 필요한 목표 폭 가변값(t3), 목표 폭 가변값과 온도보상응력값이 적용된 목표 장력값(t4)을 나타내는 장력 모델을 이용하여 설정할 목표 장력값(
Figure PCTKR2017014128-appb-I000037
)을 계산할 수가 있다.In addition, as shown in FIG. 8, the tension calculator 104d-2 is generally required to correspond to the reference tension value t1, the reference strain value t2 corresponding to the reference tension value, and the strain value of the deformed steel sheet. A target tension value to be set by using a tension model representing a target width variable t3, a target width variable value, and a target tension value t4 to which the temperature compensation stress value is applied (
Figure PCTKR2017014128-appb-I000037
) Can be calculated.
장력 제어부(104e)는 목표 장력값을 이용하여 복수개의 조압연기(103)에서 강판(S)에 인가하는 장력의 크기를 조절하도록 복수개의 조압연기(103)의 속도를 제어할 수가 있다.The tension control unit 104e may control the speeds of the plurality of rough mills 103 so as to adjust the magnitude of the tension applied to the steel sheets S by the plurality of rough mills 103 using the target tension value.
이러한, 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 이용하여 폭을 제어하기 위한 폭 제어방법을 살펴보면 도 9와 같다.Such a width control method for controlling the width by using the width control device of the multi-stand rolling mill according to an embodiment of the present invention as shown in FIG.
도 9는 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치를 이용한 폭 제어방법을 일예로 나타낸 순서도이다.9 is a flowchart illustrating an example of a width control method using the width control apparatus of the multi-stand rolling mill according to an embodiment of the present invention.
도 9를 참조하면, 본 발명의 일 실시 예에 따른 다중스탠드압연밀(A)의 폭 제어장치(100)를 이용한 폭 제어방법(900)은 제 1 단계(S902)와 제 2 단계(S904) 및 제 3 단계(S906)와 제 4 단계(S908)를 포함한다.9, the width control method 900 using the width control device 100 of the multi-stand rolling mill (A) according to an embodiment of the present invention is the first step (S902) and the second step (S904) And a third step S906 and a fourth step S908.
먼저, 제 1 단계(S902)는 다중스탠드 압연밀(A)의 폭압연기(101)가 동작할 때에, 강판(S)의 실측 폭값을 폭 측정부(102c)에서 측정한다.First, in the first step S902, when the width rolling mill 101 of the multi-stand rolling mill A operates, the measured width value of the steel sheet S is measured by the width measuring unit 102c.
이 후, 제 2 단계(S904)는 폭 측정부(102c)에서 측정한 실측 폭값에 따라 설정된 폭압연기(101)의 폭압연 속도별 엣저 목표 폭값을 이용하여 폭압연기(101)에서 폭압연을 수행하도록 엣저 제어부(104a)에서 폭압연기(101)를 제어한다.Thereafter, the second step S904 is performed by the width rolling unit 101 by using the edger target width value for each width rolling speed of the width rolling mill 101 set according to the measured width value measured by the width measuring unit 102c. The edge rolling unit 101 is controlled by the edger control unit 104a.
이때, 제 2 단계(S904)는 복수개의 조압연기(103)의 입측에 위치한 강판(S)의 폭을 폭압연 속도별 엣저 목표 폭값에 맞춰 폭압연기(101)에서 폭압연을 수행하도록 엣저 제어부(104a)에서 폭압연기(101)를 제어하는 단계일 수가 있다.At this time, the second step (S904) is the edger control unit so as to perform the width rolling in the width rolling mill 101 according to the edger target width value for each width rolling speed of the width of the steel sheet (S) located on the mouth of the plurality of rough rolling mill (103) It may be a step of controlling the width rolling mill 101 in 104a.
또한, 제 2 단계(S904)는 폭압연 속도별 엣저 목표 폭값이 피드포워드 제어부(104c)에 설정된 최종 목표 폭값이 되도록 폭압연 속도별 엣저 목표 폭값과 최종 목표 폭값간의 제 2 오차보상값을 계산하고, 계산된 제 2 오차보상값을 피드포워드 제어부(104c)에서 피드포워드 신호로 더 출력하는 단계일 수가 있다.In addition, the second step (S904) calculates a second error compensation value between the edge target width value for each width rolling speed and the final target width value so that the edger target width value for each width rolling speed becomes the final target width value set in the feedforward controller 104c. The second error compensation value may be further output by the feedforward controller 104c as a feedforward signal.
이 후, 제 3 단계(S906)는 다중스탠드 압연밀(A)의 복수개의 조압연기(103)가 동작할 때에, 강판(S)의 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나를 폭 측정부(102c)에서 측정한다.Thereafter, in the third step S906, when the plurality of rough rolling mills 103 of the multi-stand rolling mill A operate, at least one of the measured width value, the measured temperature value, and the measured stress value of the steel sheet S is wide. It measures in the measuring part 102c.
또한, 제 3 단계(S906)는 복수개의 조압연기(103)의 후단에 위치한 강판(S)의 실측 폭값이 피드백 제어부(104b)에 설정된 최종 목표 폭값이 되도록 실측 폭값과 최종 목표 폭값간의 제 1 오차보상값을 계산하고, 계산된 제 1 오차보상값을 피드백 제어부(104b)에서 피드백 신호로 더 출력하는 단계일 수가 있다.In addition, the third step S906 includes a first error between the measured width value and the final target width value such that the measured width value of the steel sheet S positioned at the rear end of the plurality of rough rolling mills 103 becomes the final target width value set in the feedback controller 104b. The compensation value may be calculated and the calculated first error compensation value may be further output from the feedback controller 104b as a feedback signal.
이 후, 제 4 단계(S908)는 폭 측정부(102c)에서 측정한 실측 폭값과 온도 측정부(102b)에서 측정한 실측 온도값 및 응력 측정부(102a)에서 측정한 실측 응력값중 적어도 하나에 따라 보상응력값을 보상하기 위해 계산된 목표 장력값을 이용하여 복수개의 조압연기(103)에서 강판(S)에 인가하는 장력을 조절하도록 장력 설정부(104d) 및 장력 제어부(104e)에서 복수개의 조압연기(103)를 제어한다.Thereafter, the fourth step S908 includes at least one of the measured width value measured by the width measuring unit 102c, the measured temperature value measured by the temperature measuring unit 102b, and the measured stress value measured by the stress measuring unit 102a. In the tension setting unit 104d and the tension control unit 104e to adjust the tension applied to the steel sheet (S) in the plurality of rough rolling mill 103 by using the target tension value calculated to compensate the compensation stress value according to Two roughing mills 103 are controlled.
여기서, 제 4 단계(S908)는 응력 측정부(102a)에서 측정한 실측 응력값에 따라 복수개의 조압연기(103) 각각에 대한 응력비율을 일정 비율로 할당하여 필요한 분배보상응력값을 응력 배분부(104d-1)에서 출력하는 단계일 수가 있다.Here, the fourth step (S908) is the stress distribution unit for allocating the stress ratio for each of the plurality of rough rolling mill 103 by a predetermined ratio according to the measured stress value measured by the stress measuring unit 102a It may be a step of outputting at 104d-1.
또한, 제 4 단계(S908)는 온도 측정부(102b)에서 측정한 실측 온도값에 따라 변화하는 강판(S)의 폭 변화를 보상하는 온도보상응력값을 장력 계산부(104d-2)에서 계산하는 단계일 수가 있고, 계산된 온도보상응력값 및 응력 배분부(104d-1)에 의해 분배된 분배보상응력값을 이용하여 설정할 목표 장력값을 장력 계산부(104d-2)에서 계산하는 단계일 수가 있다.In addition, the fourth step (S908) is calculated by the tension calculation unit 104d-2 a temperature compensation stress value for compensating for the width change of the steel sheet (S) that changes according to the measured temperature value measured by the temperature measuring unit (102b) And calculating the target tension value to be set by the tension calculating unit 104d-2 using the calculated temperature compensation stress value and the distribution compensation stress value distributed by the stress distribution unit 104d-1. There is a number.
여기서, 설정할 목표 장력값은 복수개의 조압연기(103) 및 복수개의 조압연기(103)의 입측에 위치한 폭압연기(101)가 동작할 때에 변형된 강판의 변형율값과, 변형된 강판의 변형율값에 대응하여 필요한 목표 폭 가변값을 더 이용하여 계산할 수가 있다.Here, the target tension value to be set is based on the strain values of the deformed steel sheet and the strain values of the deformed steel sheet when the plurality of rough mills 103 and the width rolling mill 101 located at the inlet side of the plurality of rough mills 103 are operated. Correspondingly, the target width variable value required can be further calculated.
또한, 제 4 단계(S908)는 목표 장력값을 이용하여 복수개의 조압연기(103)에서 강판(S)에 인가하는 장력의 크기를 조절하도록 장력 제어부(104e)에서 복수개의 조압연기(103)의 속도를 제어하는 단계일 수가 있다.In addition, the fourth step (S908) of the plurality of rough rolling mill 103 in the tension control unit 104e to adjust the magnitude of the tension applied to the steel sheet (S) in the plurality of rough rolling mill 103 using the target tension value. It may be a step of controlling the speed.
이와 같은, 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치 (100) 및 그 폭 제어방법(900)은 측정부(102) 및 제어부(104)를 포함하여 제 1 단계(S902)와 제 2 단계(S904) 및 제 3 단계(S906)와 제 4 단계(S908)를 수행한다.As such, the width control apparatus 100 and the width control method 900 of the multi-stand rolling mill according to an embodiment of the present invention includes a measuring unit 102 and the control unit 104 and the first step (S902) and The second step S904, the third step S906, and the fourth step S908 are performed.
따라서, 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치(100) 및 그 폭 제어방법(900)은 복수개의 조압연기(103) 입측에서 강판(S)의 폭변화와 사행을 억제한 후에, 복수개의 조압연기(103)에서 강판(S)에 인가하는 장력을 조절할 수가 있게 된다.Accordingly, the width control apparatus 100 and the width control method 900 of the multi-stand rolling mill according to an embodiment of the present invention suppress the meandering and meandering of the steel sheet S at the entrance of the plurality of rough mills 103. Afterwards, it is possible to adjust the tension applied to the steel sheet (S) in the plurality of rough rolling mill (103).
이에 따라, 본 발명의 일 실시 예에 따른 다중스탠드압연밀의 폭 제어장치(100) 및 그 폭 제어방법(900)은 강판(S)의 폭을 정밀하게 목표 폭으로 맞출 수가 있어 강판(S)의 품질을 향상시킬 수가 있게 된다.Accordingly, the width control device 100 and the width control method 900 of the multi-stand rolling mill according to an embodiment of the present invention can accurately match the width of the steel sheet (S) to the target width of the steel sheet (S) Quality can be improved.

Claims (9)

  1. 다중스탠드 압연밀의 폭압연기 및 복수개의 조압연기가 동작할 때에, 강판의 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나를 측정하는 측정부; 및A measuring unit measuring at least one of a measured width value, a measured temperature value, and a measured stress value of the steel sheet when the width rolling mill and the plurality of rough rolling mills of the multi-stand rolling mill operate; And
    상기 실측 폭값에 따라 설정된 폭압연기의 폭압연 속도별 엣저 목표 폭값을 이용하여 상기 폭압연기에서 폭압연을 수행하도록 상기 폭압연기를 제어하고, 상기 실측 폭값과 상기 실측 온도값 및 상기 실측 응력값중 적어도 하나에 따라 보상응력값을 보상하기 위해 계산된 목표 장력값을 이용하여 상기 복수개의 조압연기에서 상기 강판에 인가하는 장력을 조절하도록 상기 복수개의 조압연기를 제어하는 제어부를 포함하는 다중스탠드압연밀의 폭 제어장치.The width rolling mill is controlled to perform the width rolling in the width rolling mill by using the edger target width value for each width rolling speed of the width rolling mill set according to the measured width value, and at least one of the measured width value, the measured temperature value, and the measured stress value. Width of the multi-stand rolling mill including a control unit for controlling the plurality of rough mills to adjust the tension applied to the steel sheet in the plurality of rough mills by using the target tension value calculated to compensate the compensation stress value according to one Control unit.
  2. 제 1항에 있어서,The method of claim 1,
    상기 측정부는,The measuring unit,
    상기 복수개의 조압연기간에 위치한 강판의 응력을 측정하는 응력 측정부;A stress measuring unit measuring stresses of the steel plates positioned in the plurality of rough rolling periods;
    상기 복수개의 조압연기간에 위치한 강판의 온도를 측정하는 온도 측정부; 및A temperature measuring unit measuring a temperature of a steel plate positioned in the plurality of rough rolling periods; And
    상기 폭압연기에 위치한 강판의 폭을 측정하거나, 상기 복수개의 조압연기의 후단에 위치한 강판의 폭을 측정하는 폭 측정부를 포함하는 다중스탠드압연밀의 폭 제어장치.Width control device of the multi-stand rolling mill including a width measuring unit for measuring the width of the steel plate located in the width rolling mill, or the width of the steel plate located in the rear end of the plurality of rough rolling mill.
  3. 제 1항에 있어서,The method of claim 1,
    상기 제어부는,The control unit,
    상기 복수개의 조압연기의 입측에 위치한 상기 강판의 폭을 상기 폭압연 속도별 엣저 목표 폭값에 맞춰 상기 폭압연기에서 폭압연을 수행하도록 상기 폭압연기를 제어하는 엣저 제어부를 포함하는 다중스탠드압연밀의 폭 제어장치.Width control of the multi-stand rolling mill including an edger control unit for controlling the width rolling mill to perform the width rolling in the width rolling mill according to the edger target width value for each width rolling speed by the width of the steel sheet located on the inlet side of the plurality of rough rolling mill Device.
  4. 제 1항에 있어서,The method of claim 1,
    상기 제어부는,The control unit,
    상기 복수개의 조압연기의 후단에 위치한 강판의 실측 폭값이 설정된 최종 목표 폭값이 되도록 상기 실측 폭값과 상기 최종 목표 폭값간의 제 1 오차보상값을 계산하고, 상기 계산된 제 1 오차보상값을 피드백 신호로 출력하는 피드백 제어부를 포함하는 다중스탠드압연밀의 폭 제어장치.The first error compensation value between the measured width value and the final target width value is calculated so that the measured width value of the steel plates positioned at the rear ends of the plurality of rough rolling mills is the set final target width value, and the calculated first error compensation value is used as a feedback signal. Width control device of the multi-stand rolling mill including a feedback control unit for outputting.
  5. 제 1항에 있어서,The method of claim 1,
    상기 제어부는,The control unit,
    상기 폭압연 속도별 엣저 목표 폭값이 설정된 최종 목표 폭값이 되도록 상기 폭압연 속도별 엣저 목표 폭값과 상기 최종 목표 폭값간의 제 2 오차보상값을 계산하고, 상기 계산된 제 2 오차보상값을 피드포워드 신호로 출력하는 피드포워드 제어부를 포함하는 다중스탠드압연밀의 폭 제어장치.A second error compensation value is calculated between the edger target width value for each width rolling speed and the final target width value so that the edger target width value for each width rolling speed becomes a set final target width value, and the calculated second error compensation value is converted into a feedforward signal. Width control device of the multi-stand rolling mill including a feed forward control unit for outputting.
  6. 제 1항에 있어서,The method of claim 1,
    상기 제어부는 장력 설정부를 포함하고;The control unit includes a tension setting unit;
    상기 장력 설정부는,The tension setting unit,
    상기 실측 응력값에 따라 상기 복수개의 조압연기 각각에 대한 응력비율을 일정 비율로 할당하여 필요한 분배보상응력값을 출력하는 응력 배분부; 및A stress distribution unit for allocating a stress ratio for each of the plurality of rough rolling mills according to the measured stress value and outputting a required distribution compensation stress value; And
    상기 실측 온도값에 따라 변화하는 상기 강판의 폭 변화를 보상하는 온도보상응력값을 계산하고, 상기 분배보상응력값과 상기 온도보상응력값을 이용하여 설정할 목표 장력값을 계산하는 장력 계산부를 포함하는 다중스탠드압연밀의 폭 제어장치.And a tension calculation unit for calculating a temperature compensation stress value for compensating for a width change of the steel sheet which changes according to the measured temperature value, and calculating a target tension value to be set using the distribution compensation stress value and the temperature compensation stress value. Width control device for multi-stand rolling.
  7. 제 6항에 있어서,The method of claim 6,
    상기 설정할 목표 장력값은,The target tension value to be set is,
    상기 복수개의 조압연기 및 상기 복수개의 조압연기의 입측에 위치한 폭압연기가 동작할 때에 변형된 강판의 변형율값과, 상기 변형된 강판의 변형율값에 대응하여 필요한 목표 폭 가변값을 더 이용하여 계산하는 다중스탠드압연밀의 폭 제어장치.When the plurality of roughing mills and the width rolling mill located at the inlet side of the plurality of roughing mills are operated by using the strain value of the deformed steel sheet and the target width variable value required to correspond to the strain value of the deformed steel sheet. Width control device for multi-stand rolling.
  8. 제 1항에 있어서,The method of claim 1,
    상기 제어부는,The control unit,
    상기 목표 장력값을 이용하여 상기 복수개의 조압연기에서 상기 강판에 인가하는 장력의 크기를 조절하도록 상기 복수개의 조압연기의 속도를 제어하는 장력 제어부를 포함하는 다중스탠드압연밀의 폭 제어장치.And a tension control unit for controlling the speeds of the plurality of rough mills to adjust the magnitudes of the tensions applied to the steel sheets in the plurality of rough mills using the target tension values.
  9. 다중스탠드 압연밀의 폭압연기가 동작할 때에, 강판의 실측 폭값을 측정하는 단계;Measuring the measured width of the steel sheet when the width rolling mill of the multi-stand rolling mill operates;
    상기 실측 폭값에 따라 설정된 폭압연기의 폭압연 속도별 엣저 목표 폭값을 이용하여 상기 폭압연기에서 폭압연을 수행하도록 상기 폭압연기를 제어하는 단계;Controlling the width rolling mill to perform width rolling in the width rolling mill by using an edger target width value for each width rolling speed of the width rolling mill set according to the measured width value;
    상기 다중스탠드 압연밀의 복수개의 조압연기가 동작할 때에, 강판의 실측 폭값과 실측 온도값 및 실측 응력값중 적어도 하나를 측정하는 단계; 및Measuring at least one of a measured width value, a measured temperature value, and a measured stress value of a steel sheet when a plurality of rough rolling mills of the multi-stand rolling mill are operated; And
    상기 실측 폭값과 상기 실측 온도값 및 상기 실측 응력값중 적어도 하나에 따라 보상응력값을 보상하기 위해 계산된 목표 장력값을 이용하여 상기 복수개의 조압연기에서 상기 강판에 인가하는 장력을 조절하도록 상기 복수개의 조압연기를 제어하는 단계를 포함하는 다중스탠드압연밀의 폭 제어방법.The plurality of the plurality of rough rolling mill to adjust the tension applied to the steel sheet by using a target tension value calculated to compensate for the compensation stress value according to at least one of the measured width value, the measured temperature value and the measured stress value Width control method comprising the steps of controlling two roughing mill.
PCT/KR2017/014128 2016-12-19 2017-12-05 Width control device of multi-stand rolling mill and method for controlling width thereof WO2018117486A1 (en)

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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH09155422A (en) * 1995-12-11 1997-06-17 Kawasaki Steel Corp Method for controlling width in continuous hot rolling
KR100531145B1 (en) * 2000-10-04 2005-11-25 신닛뽄세이테쯔 카부시키카이샤 Sheet width control method in hot rolling
JP2008183583A (en) * 2007-01-30 2008-08-14 Jfe Steel Kk Method of controlling finished plate width of hot-rolling
KR101322048B1 (en) * 2011-09-28 2013-10-28 주식회사 포스코 Method for controlling width of rolling material
KR20150073618A (en) * 2013-12-23 2015-07-01 주식회사 포스코 Apparatus for controlling slab width and method for the same

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH09155422A (en) * 1995-12-11 1997-06-17 Kawasaki Steel Corp Method for controlling width in continuous hot rolling
KR100531145B1 (en) * 2000-10-04 2005-11-25 신닛뽄세이테쯔 카부시키카이샤 Sheet width control method in hot rolling
JP2008183583A (en) * 2007-01-30 2008-08-14 Jfe Steel Kk Method of controlling finished plate width of hot-rolling
KR101322048B1 (en) * 2011-09-28 2013-10-28 주식회사 포스코 Method for controlling width of rolling material
KR20150073618A (en) * 2013-12-23 2015-07-01 주식회사 포스코 Apparatus for controlling slab width and method for the same

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