JPS6358644B2 - - Google Patents

Info

Publication number
JPS6358644B2
JPS6358644B2 JP55011686A JP1168680A JPS6358644B2 JP S6358644 B2 JPS6358644 B2 JP S6358644B2 JP 55011686 A JP55011686 A JP 55011686A JP 1168680 A JP1168680 A JP 1168680A JP S6358644 B2 JPS6358644 B2 JP S6358644B2
Authority
JP
Japan
Prior art keywords
width
rolling mill
vertical
rolled
exit side
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired
Application number
JP55011686A
Other languages
Japanese (ja)
Other versions
JPS56154212A (en
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed filed Critical
Priority to JP1168680A priority Critical patent/JPS56154212A/en
Publication of JPS56154212A publication Critical patent/JPS56154212A/en
Publication of JPS6358644B2 publication Critical patent/JPS6358644B2/ja
Granted legal-status Critical Current

Links

Classifications

    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B37/00Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
    • B21B37/16Control of thickness, width, diameter or other transverse dimensions
    • B21B37/22Lateral spread control; Width control, e.g. by edge rolling

Description

【発明の詳細な説明】 本発明は交互に配設された複数の垂直圧延機と
複数の水平圧延機とからなる熱間粗圧延機群にお
けるスラブ等の被圧延材の板幅制御方法に関する
ものである。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a method for controlling the width of a rolled material such as a slab in a hot rough rolling mill group consisting of a plurality of vertical rolling mills and a plurality of horizontal rolling mills arranged alternately. It is.

一般にスラブ等の被圧延材は長手方向の各部に
おいて板幅、板厚にばらつきがあるのが普通であ
り、また加熱炉にて加熱される際に温度差が形成
され、垂直圧延機の被圧延材の断面形状が異な
り、更に各水平圧延機、垂直圧延機におけるロー
ル開度設定誤差、その他の制御誤差等のために粗
圧延機群にて圧延された被圧延材には一層大きな
幅寸法のばらつきが生じ歩留を著しく低下させて
しまう。例えば被圧延材に幅寸法のばらつきを生
じせしめる大きな要因の一つである温度差は、被
圧延材を加熱炉内で圧延温度に迄加熱する際に、
被圧延材のうちスキツドと接している部分(以下
スキツド部という)ではスキツドによる熱遮蔽作
用を受けてスキツドと接していない部分(以下非
スキツド部という)の温度よりも低くなる外、同
じスキツド部、非スキツド部においても幅方向の
温度分布も異なつてくるため、被圧延材の長手方
向及び幅方向のいずれにも生じ、この結果、垂直
圧延後における被圧延材の断面形状がスキツド部
と非スキツド部で異なり、垂直圧延、水平圧延が
反復される間にスキツド部は板幅が広く、また非
スキツド部は板幅が狭く圧延されてしまう。この
ため従来にあつては粗圧延機群中の適当な垂直圧
延機1基を用いて次のような板幅制御が行われて
いた。
In general, materials to be rolled such as slabs usually have variations in width and thickness at various parts in the longitudinal direction, and temperature differences are formed when heated in a heating furnace. The cross-sectional shape of the material is different, and due to roll opening setting errors and other control errors in each horizontal rolling mill and vertical rolling mill, the rolled material rolled in the rough rolling mill group has a larger width dimension. This causes variations and significantly reduces yield. For example, temperature differences are one of the major factors that cause variations in width dimensions of rolled materials.
The temperature of the part of the rolled material that is in contact with the skid (hereinafter referred to as the skid part) is lower than that of the part that is not in contact with the skid (hereinafter referred to as the non-skid part) due to the heat shielding effect of the skid. , since the temperature distribution in the width direction is also different in the non-skidded part, this occurs in both the longitudinal and width directions of the rolled material, and as a result, the cross-sectional shape of the rolled material after vertical rolling differs from that in the skidded part. This differs depending on the skid portion, and during repeated vertical rolling and horizontal rolling, the skid portion is rolled to a wide strip, while the non-skid portion is rolled to a narrow strip. For this reason, in the past, the following strip width control was performed using one appropriate vertical rolling mill in a group of rough rolling mills.

第6図は熱間粗圧延機群及びその板幅制御系を
示す模式図であり、図中E1,E2,E3…E6は垂直
圧延機、R1,R2,R3…R6は水平圧延機であつ
て、被圧延材1は白抜き矢符方向から各垂直圧延
機E1等及び水平圧延機R1等にて夫々幅方向、厚
さ方向に交互に圧延されて目標幅寸法、目標厚さ
寸法に圧延されるようになつている。第6図に示
すように垂直圧延機とその下流側の水平圧延機と
は通常接近して配置されているが、水平圧延機と
その下流側の垂直圧延機との距離は被圧延材の長
さに比して長い。そして従来にあつては熱間粗圧
延機群の中間、例えば水平圧延機R3の出側に幅
計2を配し、被圧延材1の先端が幅計2より下流
側にある垂直圧延機E4に到達する前に、この幅
計2にて被圧延材1の長手方向各部における板幅
を実測し、これを被圧延材の実測幅として演算制
御部3に入力させ、演算制御部3にて実測幅に基
き平均幅及び該平均幅に対する被圧延材1の長手
方向各部の幅偏差を求めると共に、圧延スケジユ
ールに基いて粗圧延機群出側の幅偏差及び平均幅
を予測し、この予測幅偏差が零であつて、且つ予
測平均幅を粗圧延機群出側の目標幅に一致させる
べく幅殺し量(垂直圧延機入側板幅と出側板幅と
の差)を算出し、この幅殺し量が得られるよう水
平圧延機R3の下流側に配した垂直圧延機E4にそ
のロール開度を調節すべく演算制御部3から指令
信号を発するようにしていた。
FIG. 6 is a schematic diagram showing a hot rough rolling mill group and its strip width control system, in which E 1 , E 2 , E 3 . . . E 6 are vertical rolling mills, R 1 , R 2 , R 3 . . . R 6 is a horizontal rolling mill, and the material to be rolled 1 is rolled alternately in the width direction and thickness direction from the direction of the white arrow in each vertical rolling mill E 1 , etc. and horizontal rolling mill R 1 , etc. It is designed to be rolled to the target width and thickness dimensions. As shown in Figure 6, the vertical rolling mill and the horizontal rolling mill downstream of it are usually placed close together, but the distance between the horizontal rolling mill and the vertical rolling mill downstream of it is the length of the material to be rolled. It's longer than that. Conventionally, the width gauge 2 is arranged in the middle of the hot rough rolling mill group, for example, on the exit side of the horizontal rolling mill R3 , and the tip of the rolled material 1 is located downstream of the width gauge 2 in the vertical rolling mill. Before reaching E 4 , the width gauge 2 measures the width of the strip at each longitudinal direction of the material to be rolled, and inputs this to the calculation control section 3 as the actual measured width of the material to be rolled. At the same time, the average width and the width deviation of each part in the longitudinal direction of the rolled material 1 from the measured width are determined based on the measured width, and the width deviation and average width of the rough rolling mill exit side are predicted based on the rolling schedule. In order for the predicted width deviation to be zero and the predicted average width to match the target width on the exit side of the rough rolling mill group, the width reduction amount (the difference between the strip width on the entrance side of the vertical rolling mill and the strip width on the exit side of the vertical rolling mill) is calculated. A command signal was sent from the arithmetic control unit 3 to the vertical rolling mill E 4 disposed downstream of the horizontal rolling mill R 3 to adjust its roll opening in order to obtain the width reduction amount.

ところが実機操業上、スラブ寸法、材質、圧延
温度等のばらつき、或いは幅計よりも上流側にお
ける垂直圧延機、水平圧延機の圧延条件等に起因
する被圧延材の幅寸法のばらつきが極めて大きく
なることがあり、このため幅計2による実測幅
と、その直前の水平圧延機R3出側における目標
幅とが大幅に異なり、例えば実測幅に基く平均幅
が目標幅を大幅に越える場合にはこれを修正する
に必要な幅殺し量が部分的に極めて大きくなつ
て、垂直圧延機E4が過負荷状態となり、また逆
に平均幅が目標幅を下回る場合には実質的な幅殺
しが出来ず幅制御が出来なくなるなどの不都合が
あつた。
However, in actual machine operation, variations in the width dimensions of the rolled material become extremely large due to variations in slab dimensions, material quality, rolling temperature, etc., or rolling conditions of vertical rolling mills and horizontal rolling mills upstream of the width gauge. For this reason, the actual width measured by the width gauge 2 and the target width at the exit side of the horizontal rolling mill R 3 immediately before it are significantly different. For example, if the average width based on the actual width exceeds the target width by a large amount, The amount of width reduction required to correct this becomes extremely large in some parts, causing vertical rolling mill E4 to be overloaded, and conversely, if the average width is less than the target width, substantial width reduction cannot be achieved. There were inconveniences such as the inability to control the width of the head.

第7図イは水平圧延機R3出側、即ち垂直圧延
機E4入側における被圧延材1の平均幅が目標幅
を大幅に上回る場合を、また第7図ロは同じく被
圧延材1の平均幅が目標幅を下回る場合を、夫々
の場合に設定される垂直圧延機E4のロール開度
と共に示すグラフである。第7図イ,ロはいずれ
も横軸に被圧延材の長手方向の位置を、縦軸に被
圧延材の板幅、又はロール開度をとつて示してあ
る。グラフ中実線aは被圧延材の長手方向におけ
る実測幅を示しており、また破線bは被圧延材の
平均幅を、破線cは水平圧延機R3出側の目標幅
を、実線dは垂直圧延機E4のロール実開度を、
破線eは平均ロール開度を、破線fはロール目標
開度を示している。
Figure 7A shows the case where the average width of the rolled material 1 at the exit side of the horizontal rolling mill R3 , that is, the input side of the vertical rolling mill E4 , is significantly greater than the target width, and Figure 7B shows the case where the rolled material 1 3 is a graph showing cases in which the average width of is less than the target width, together with the roll opening degree of vertical rolling mill E4 set in each case. In both FIGS. 7A and 7B, the horizontal axis represents the position in the longitudinal direction of the material to be rolled, and the vertical axis represents the width of the material to be rolled or the opening degree of the rolls. The solid line a in the graph shows the measured width in the longitudinal direction of the rolled material, the broken line b shows the average width of the rolled material, the broken line c shows the target width at the exit side of the horizontal rolling mill R3 , and the solid line d shows the vertical width. The actual roll opening degree of rolling mill E 4 is
The broken line e shows the average roll opening, and the broken line f shows the roll target opening.

第7図イから明らかなように、被圧延材の平均
幅bが目標幅cを大幅に越える場合は平均幅bと
実測幅aとの差、即ち幅偏差を粗圧延機群出側で
零にし、且つ平均幅bを目標幅cに粗圧延機群出
側で一致させるためには垂直圧延機E4の圧延ロ
ールはロール実開度dにて示す如く被圧延材1に
おける広幅部(平均幅bよりも実測幅aが広い部
分)、狭幅部(平均幅bよりも実測幅aが狭い部
分)に応じて幅殺し量を大きく、また小さくする
必要があるが、そのうち広幅部に応じて幅殺し量
を大きくすべき部分d1,d2…d4において極めて大
きな幅殺し量が必要となつて垂直圧延機E4にお
ける圧下モータの許容負荷を越えることがある。
As is clear from Fig. 7A, when the average width b of the rolled material significantly exceeds the target width c, the difference between the average width b and the measured width a, that is, the width deviation, is reduced to zero on the rough rolling mill group exit side. In order to make the average width b coincide with the target width c on the rough rolling mill group outlet side, the rolling rolls of the vertical rolling mill E 4 have a wide part (average It is necessary to increase or decrease the amount of width reduction depending on the area (where the actual width a is wider than the average width b) and the narrow area (the area where the actual width a is narrower than the average width b). In the portions d1 , d2 , .

また一方第7図ロから明らかなように、被圧延
材1の平均幅bが目標幅cを下回る場合には平均
幅bと実測幅aとの差、即ち幅偏差を解消すべく
垂直圧延機E4の圧延ロールはロール実開度dに
て示す如く被圧延材における広幅部、狭幅部に応
じて幅殺し量を大きく、また小さくする必要があ
るが、そのうち狭幅部に応じて幅殺し量を小さく
すべき部分d1′,d2′…d4′においてロール実開度d
が被圧延材1の幅寸法よりも大きくなり幅殺しが
行えず、板幅制御が実質上出来ない状態となつて
いる。
On the other hand, as is clear from FIG. 7B, when the average width b of the rolled material 1 is less than the target width c, the vertical rolling machine is used to eliminate the difference between the average width b and the measured width a, that is, the width deviation. For the E4 rolling roll, it is necessary to increase or decrease the amount of width reduction depending on the wide and narrow parts of the material to be rolled, as shown by the actual roll opening d. The actual roll opening degree d in the portions d 1 ′, d 2 ′…d 4 ′ where the amount of killing should be reduced
is larger than the width dimension of the material to be rolled 1, and width reduction cannot be performed, making it virtually impossible to control the strip width.

本発明はかかる事情に鑑みなされたものであつ
て、その目的とするところは粗圧延機群の中間に
ての被圧延材の板幅を実測し、この実測幅から平
均幅及び平均幅に対する幅偏差を求めると共に、
粗圧延機群出側における幅偏差及び平均幅を予測
し、夫々粗圧延機群出側における被圧延材の幅偏
差を零ならしめるべくロール実開度の制御と、粗
圧延機群出側における被圧延材の予測平均幅を目
標幅に一致させるロール実開度の修正制御とを
夫々別個の垂直圧延機にて行うことにより、被圧
延材の平均幅が目標幅を大幅に上回る場合、或い
は平均幅が目標幅を下回る場合においても垂直圧
延機の過負荷が生じず、また被圧延材の幅制御が
出来なくなるなどの不都合を解消し、水平圧延機
の圧延条件等による圧延精度のばらつきを解消
し、粗圧延機群出側において目標幅に一致した板
材を得られるようにした板幅制御方法を提案する
にある。
The present invention was made in view of the above circumstances, and its purpose is to actually measure the plate width of the material to be rolled at the middle of the rough rolling mill group, and to calculate the average width and the width relative to the average width from this measured width. Along with finding the deviation,
The width deviation and average width at the exit side of the rough rolling mill group are predicted, and the actual roll opening degree is controlled to zero the width deviation of the rolled material at the exit side of the rough rolling mill group, respectively. When the average width of the rolled material significantly exceeds the target width by controlling the actual opening of the rolls to match the predicted average width of the rolled material to the target width using separate vertical rolling mills, or Even if the average width is less than the target width, the vertical rolling mill will not be overloaded, and problems such as the inability to control the width of the rolled material will be eliminated, and variations in rolling accuracy due to the rolling conditions of the horizontal rolling mill will be eliminated. The object of the present invention is to propose a strip width control method that solves this problem and makes it possible to obtain a strip material that matches the target width on the exit side of the rough rolling mill group.

本発明に係る板幅制御方法は複数の垂直圧延機
と複数の水平圧延機とを交互に配設して構成され
る熱間粗圧延機群において、粗圧延機群中間の水
平圧延機出側に配置された幅計にて被圧延材長手
方向各部の板幅を実測し、この実測値に基いて前
記水平圧延機出側における被圧延材の実測平均幅
及び被圧延材の長手方向各部における実測平均幅
からの幅偏差を求めると共に、前記実測平均幅に
基いて予測される粗圧延機群出側における予測平
均幅を求め、前記幅偏差に基いて予測される粗圧
延機群出側における予測平均幅からの幅偏差を零
とするよう、前記幅計よりも下流側に位置する垂
直圧延機Aにて被圧延材圧延中にロール開度を制
御すると共に、前記ロール開度の制御を行う垂直
圧延機Aよりも下流の垂直圧延機Bにおいて、粗
圧延機群出側における予測平均幅を目標幅に略等
しくするよう被圧延材の先端が垂直圧延機Bに到
達する以前に垂直圧延機Bのロール開度設定値を
修正することを特徴とする。
The strip width control method according to the present invention is applied to a hot roughing mill group configured by alternately arranging a plurality of vertical rolling mills and a plurality of horizontal rolling mills, on the output side of the horizontal rolling mill in the middle of the roughing mill group. Measure the plate width of each part in the longitudinal direction of the rolled material using a width meter placed at In addition to determining the width deviation from the measured average width, the predicted average width at the rough rolling mill group exit side predicted based on the measured average width is determined, and the predicted average width at the rough rolling mill group exit side predicted based on the width deviation is calculated. In order to make the width deviation from the predicted average width zero, the roll opening degree is controlled during rolling of the material to be rolled in the vertical rolling mill A located downstream of the width gauge, and the roll opening degree is also controlled. Vertical rolling mill B downstream of vertical rolling mill A performs vertical rolling before the tip of the material to be rolled reaches vertical rolling mill B so that the predicted average width at the exit side of the rough rolling mill group is approximately equal to the target width. The feature is that the roll opening setting value of machine B is corrected.

以下本発明を第1図の模式図に示す如く各6基
の垂直圧延機E1〜E6及び水平圧延機R1〜R6を交
互に配設してなる熱間粗圧延機群において被圧延
材の板幅制御を行う場合について説明する。
The present invention will be described below in a hot rough rolling mill group consisting of six vertical rolling mills E 1 to E 6 and horizontal rolling mills R 1 to R 6 arranged alternately as shown in the schematic diagram of FIG. A case will be described in which the width of a rolled material is controlled.

被圧延材1は白抜き矢符方向に移送されてきて
前記各垂直圧延機E1〜E6及び水平圧延機R1〜R6
を通過する間にその幅調整を受けつつ圧延される
こととなるが、垂直圧延機E1〜E6と水平圧延機
R1〜R6とは交互に配設されており、各組をなす
垂直圧延機、水平圧延機毎に幅調整を受ける。
The material to be rolled 1 is transferred in the direction of the outlined arrow and is transferred to each of the vertical rolling mills E 1 to E 6 and horizontal rolling mills R 1 to R 6 .
The width is adjusted while passing through the vertical rolling mills E 1 to E 6 and horizontal rolling mills.
R 1 to R 6 are arranged alternately, and the width is adjusted for each set of vertical rolling mills and horizontal rolling mills.

2は水平圧延機R3の出側に配設された幅計で
あつて、水平圧延機R3による圧延を終えた被圧
延材1の幅寸法を被圧延材1の全長にわたつて連
続的又は間欠的に実測せしめ、その実測データを
コンピユータ3に適当なサンプリング周期で取込
み、これを水平圧延機R3出側における被圧延材
1の実測幅w3として記憶し、またコンピユータ
3はこの実測幅w3に基いて被圧延材1の実測平
均幅(以下単に平均幅という)w3Aを算出すると
共に、該平均幅w3Aと実測幅w3とから被圧延材1
の長手方向各部における両者の差、即ち幅偏差
Δdを算出し、この幅偏差Δdを解消すべく、垂直
圧延機E4のロール開度を設定制御し、また最後
の水平圧延機R6出側の予測平均幅w6Aを粗圧延機
群出側における目標幅W6^に一致させるべく前記
幅偏差Δd解消のための制御が行われる垂直圧延
機E4よりも下流側の垂直圧延機E5におけるロー
ル開度を修正制御する。以下垂直圧延機E4に対
するロール開度の制御について説明する。まず垂
直圧延機による幅殺しと水平圧延機による幅拡が
りとの関係を第2図イ,ロ,ハに基いて説明す
る。第2図イは垂直圧延前の被圧延材の板幅方向
で、且つ垂直な断面図、第2図ロは垂直圧延後
(水平圧延前)の同断面図、第2図ハは水平圧延
後の同断面図である。
Reference numeral 2 denotes a width gauge disposed on the exit side of the horizontal rolling mill R 3 , which continuously measures the width dimension of the rolled material 1 after rolling by the horizontal rolling mill R 3 over the entire length of the rolled material 1. Alternatively, the actual measurement data is taken intermittently into the computer 3 at an appropriate sampling interval, and this is stored as the actual measurement width w3 of the rolled material 1 at the exit side of the horizontal rolling mill R3 . The actually measured average width ( hereinafter simply referred to as average width) w 3A of the rolled material 1 is calculated based on the width w 3, and the rolled material 1 is calculated from the average width w 3A and the measured width w 3 .
The difference between the two at each longitudinal direction, that is, the width deviation Δd, is calculated, and in order to eliminate this width deviation Δd, the roll opening of vertical rolling mill E 4 is set and controlled, and the final horizontal rolling mill R 6 is Vertical rolling mill E 5 downstream of vertical rolling mill E 4 where control is performed to eliminate the width deviation Δd in order to match the predicted average width w 6A with the target width W 6 ^ at the exit side of the rough rolling mill group . The roll opening degree is corrected and controlled. The control of the roll opening degree for the vertical rolling mill E4 will be explained below. First, the relationship between width reduction by the vertical rolling mill and width expansion by the horizontal rolling mill will be explained based on Figure 2 A, B, and C. Figure 2 A is a vertical cross-sectional view in the plate width direction of the rolled material before vertical rolling, Figure 2 B is the same cross-sectional view after vertical rolling (before horizontal rolling), and Figure 2 C is after horizontal rolling. FIG.

垂直圧延前の被圧延材1a、垂直圧延後の被圧
延材1b及び水平圧延後の被圧延材1c夫々の板
幅、板厚を夫々W,H、WE,HE及びw,hとす
ると垂直圧延機による幅殺し量ΔW(片側で
ΔW/2)はΔW=W−WEと表わされ、幅殺しを
行うことにより幅方向端部が盛上ることになる。
被圧延材1bに表われるこの盛上り部MEが次の
水平圧延で幅拡がりとなる量をwM(片側でwM
2)、盛上り部MEを除く中間の矩形断面部分が同
じく水平圧延で幅拡がりとなる量をwH(片側で
wH/2)とすると、水平圧延後の板幅wは w=WE+wM+wH …(1) で表わされる。然るところ幅拡がり量wM及びwH
は垂直・水平圧延前後の体積一定の条件を利用す
ると下記(2),(3)式の如く表わされる。
Let the plate width and plate thickness of the rolled material 1a before vertical rolling, the rolled material 1b after vertical rolling, and the rolled material 1c after horizontal rolling be W, H, W E , H E and w, h, respectively. The width reduction amount ΔW (ΔW/2 on one side) by the vertical rolling mill is expressed as ΔW=W-W E , and by performing the width reduction, the width direction end portions are raised.
The amount by which this raised portion M E appearing on the rolled material 1b widens in the next horizontal rolling is w M (w M / on one side).
2), The amount by which the middle rectangular cross section excluding the raised part M E widens by horizontal rolling is w H (on one side)
w H /2), the strip width w after horizontal rolling is expressed as w=W E +w M +w H (1). However, the width expansion amount w M and w H
is expressed as the following equations (2) and (3) using the condition that the volume is constant before and after vertical and horizontal rolling.

wM=γ・ΔW …(2) wH≒{(H/h)CH−1}WE …(3) 但し、γ:盛上り幅拡がり係数 CH:一般に用いられている水平圧延のみに
よる幅拡がり係数 然るところ本発明者等は粗圧延機群における実
機テストの結果によればγ,CHは下記(4),(5)式
で表わせることを見い出した。
w M = γ・ΔW …(2) w H ≒ {(H/h)C H −1}W E …(3) However, γ: Embankment width expansion coefficient C H : Only generally used horizontal rolling However, according to the results of an actual machine test on a group of rough rolling mills, the present inventors found that γ and C H can be expressed by the following equations (4) and (5).

γ=0.22(W/H)0.18・(W/ΔW)0.19…(4)
CH=2.05exp{−1.766(WE/ld)0.1・(WE/H)0
.435
・(H/R)0.09}…(5) 但し、ld:水平圧延時における投影接触弧長 R:水平圧延機のロール半径 即ち、前記(1),(2)式から水平圧延機それ自体を
直接調整しなくても、幅殺し量ΔW、換言すれば
垂直圧延機のロール開度の調節によつて被圧延材
の板幅調節が行えることとなる。
γ=0.22(W/H) 0.18・(W/ΔW) 0.19 …(4)
C H =2.05exp{−1.766(W E /ld) 0.1・(W E /H) 0
.435
・(H/R) 0.09 }...(5) However, ld: Projected contact arc length during horizontal rolling R: Roll radius of horizontal rolling mill In other words, from equations (1) and (2) above, horizontal rolling mill Even without directly adjusting the width of the material to be rolled, the width of the material to be rolled can be adjusted by adjusting the width reduction amount ΔW, in other words, the roll opening degree of the vertical rolling mill.

そこで水平圧延機R3出側で捉えた被圧延材1
の長手方向における各部の幅偏差Δdと、垂直圧
延機と水平圧延機との組毎の盛上り幅拡がり係数
γとから粗圧延機群出側における幅偏差を予測
し、この幅偏差を解消、換言すれば被圧延材1の
幅のばらつきを除去する如くに、垂直圧延機E4
において、広幅部に対する幅殺し量を狭幅部に対
する幅殺し量よりも所要量大きくなるようロール
開度を制御する。
Therefore, rolled material 1 captured on the output side of horizontal rolling mill R3
Predict the width deviation at the exit side of the rough rolling mill group from the width deviation Δd of each part in the longitudinal direction and the bulge width expansion coefficient γ for each set of vertical rolling mill and horizontal rolling mill, and eliminate this width deviation, In other words, the vertical rolling mill E 4
In this step, the roll opening degree is controlled so that the width reduction amount for the wide portion is larger than the width reduction amount for the narrow width portion by a required amount.

いま、例えば粗圧延機群入側からi−1番面の
水平圧延機Ri-1とその下流側に配置されたi番目
の垂直圧延機Eiと垂直圧延機Eiの下流側に近接配
置されたi番目の水平圧延機Riのそれぞれの出
側における被圧延材の長手寸法の平均幅からの幅
偏差の関係を求める。
Now, for example, horizontal rolling mill Ri -1 on the i-1 side from the entry side of the rough rolling mill group, the i-th vertical rolling mill Ei placed downstream of it, and the horizontal rolling mill Ei placed close to the downstream side of the vertical rolling mill Ei. The relationship between the width deviation from the average width of the longitudinal dimension of the rolled material at each exit side of the i-th horizontal rolling mill Ri is determined.

いま、i−1番面の水平圧延機Ri-1の出側にお
いてΔDRi-1の幅偏差が生じている部分(以下変動
部という)と幅偏差が零の部分(以下非変動部と
いう)に着目する。ここで変動部の幅偏差ΔDRi-1
が正の値であれば広幅部に相当し、負の値であれ
ば狭幅部に相当する。i−1番面の水平圧延機
Ri-1の出側の被圧延材長手方向の平均幅(すなわ
ち非変動部の板幅)をWi-1とすれば、変動部の
板幅はWi-1+ΔDRi-1として表わされる。
Now, on the exit side of the horizontal rolling mill Ri -1 on the i-1 side, a part where a width deviation of ΔD Ri-1 occurs (hereinafter referred to as the variable part) and a part where the width deviation is zero (hereinafter referred to as the non-variable part) Focus on Here, the width deviation of the fluctuating part ΔD Ri-1
If it is a positive value, it corresponds to a wide width part, and if it is a negative value, it corresponds to a narrow width part. i-1 horizontal rolling mill
If the average width in the longitudinal direction of the rolled material on the exit side of Ri -1 (that is, the strip width of the non-fluctuation part) is Wi -1 , then the strip width of the fluctuating part is expressed as Wi -1 +ΔD Ri-1 .

次にi番目の垂直圧延機Eiにおいてロール開度
制御を行わない場合、即ち被圧延材先端から後端
まで一定のロール開度設定値で圧延した場合の垂
直圧延機Ei出側での被圧延材長手方向の平均幅
(即ち非変動部の板幅)をWEiとし、変動部の幅
偏差を前同様にΔDEiとすれば、変動部の板幅は
WEi+ΔDEiと表わされる。従つて変動部の幅殺し
量(垂直圧延機の入側板幅と出側板幅の差)
ΔWWiは下式のように与えられる。
Next, when roll opening control is not performed in the i-th vertical rolling mill Ei, that is, when rolling is performed with a constant roll opening setting value from the front end to the rear end of the rolled material, the rolled material on the exit side of vertical rolling mill Ei If the average width in the longitudinal direction of the material (i.e. the plate width of the non-variable part) is W Ei , and the width deviation of the variable part is ΔD Ei as before, then the plate width of the variable part is
It is expressed as W Ei +ΔD Ei . Therefore, the width reduction amount of the variable part (difference between the width of the inlet plate and the width of the outlet plate of the vertical rolling mill)
ΔW Wi is given as shown below.

WWi=Wi-1+ΔDRi-1−(WEi+ΔDEi) ここで、非変動部の幅殺し量ΔWEiは ΔWEi=Wi-1−WEi と表わされるので、変動部の幅殺し量ΔWWiの式
を非変動部の幅殺し量ΔWEiを用いて書き直せば
(6)式のようになる。
W Wi = Wi -1 + ΔD Ri-1 − (W Ei + ΔD Ei ) Here, the width reduction amount ΔW Ei of the non-fluctuation part is expressed as ΔW Ei = Wi -1 − W Ei , so the width reduction amount of the fluctuation part is If we rewrite the equation for ΔW Wi using the width reduction amount ΔW Ei of the non-variable part,
It becomes as shown in equation (6).

ΔWWi=ΔWEi+ΔDRi-1−ΔDEi …(6) (6)式は垂直圧延機Eiでロール開度制御を行わな
い場合、垂直圧延機Eiの入側で幅偏差が存在すれ
ばその部分で幅殺し量が変わることを示してお
り、(2)式に示すように幅殺し量が変われば盛上り
幅拡がり量が変わることになり、水平圧延機Ri
出側での幅偏差を求めることができる。いま、変
動部の盛上り幅拡がり係数をγwとすれば、水平
圧延機Ri出側における変動部の盛上り幅拡がり
量wMWiは(2)式より(7)式の如く表わせる。
ΔW Wi = ΔW Ei + ΔD Ri-1 −ΔD Ei (6) Equation (6) shows that when the roll opening is not controlled in the vertical rolling mill Ei, if there is a width deviation on the entrance side of the vertical rolling mill Ei, This shows that the width reduction amount changes depending on the part, and as shown in equation (2), if the width reduction amount changes, the amount of bulge width expansion changes, and the horizontal rolling mill Ri
The width deviation at the exit side can be determined. Now, if the bulge width expansion coefficient of the fluctuating part is γw, the bulge width expansion amount wMWi of the fluctuating part on the exit side of the horizontal rolling mill Ri can be expressed as shown in equation (7) from equation (2).

wMWi=γw・(ΔWEi+ΔDRi-1−ΔDEi) …(7) また非変動部の盛上り幅拡がり係数をγとすれ
ば、水平圧延機Ri出側における非変動部の盛上
り幅拡がり量wMiは(2)式より(7′)式の如く表わ
せる。
wMWi=γw・(ΔW Ei +ΔD Ri-1 −ΔD Ei ) …(7) Also, if the bulge width expansion coefficient of the non-fluctuation part is γ, then the bulge width expansion of the non-fluctuation part on the exit side of the horizontal rolling mill Ri The quantity w Mi can be expressed as in equation (7') from equation (2).

wMi=γ・ΔWEi …(7′) 水平圧延機による幅拡がり量としては、上記の
如き盛上りに起因するもののほかに(3)式で示され
る通常の幅拡がり量も当然加味されているのであ
るが、この通常の幅拡がり量は良く知られている
ように板幅、板厚、ロール径及び圧下量により決
るものであるから変動部と非変動部とではほぼ等
しくなると考えられ、従つて幅偏差としては現わ
れて来ない。
w Mi = γ・ΔW Ei …(7′) In addition to the amount of width expansion caused by the horizontal rolling mill, the normal width expansion amount shown by equation (3) is also taken into account, in addition to the amount caused by the bulge mentioned above. However, as is well known, the amount of normal width expansion is determined by the sheet width, sheet thickness, roll diameter, and reduction amount, so it is thought that it will be approximately equal in the fluctuating section and the non-fluctuation section. Therefore, it does not appear as a width deviation.

従つて水平圧延機Ri出側の変動部の幅偏差 ΔDRiは ΔDRi=wMWi+ΔD,−wMi となり、(7),(7′)式を用いれば上式は ΔDRi=γw・(ΔWEi+ΔDRi-1−ΔDEi) +ΔDEi−γ・ΔWEi …(8) となるが、ロール開度制御を行わない場合、垂直
圧延機出側における幅偏差は通常極めて微小であ
り、ΔDRi≫ΔDEi,ΔDRi-1≫ΔDEiとなるため、前
記(8)式の幅偏差ΔDRiは下記(9)式の如く表わせる。
Therefore, the width deviation ΔD Ri of the fluctuating section on the exit side of the horizontal rolling mill Ri is ΔD Ri = wMWi + ΔD, -w Mi. Using equations (7) and (7'), the above equation becomes ΔD Ri = γw・(ΔW Ei +ΔD Ri-1 −ΔD Ei ) +ΔD Ei −γ・ΔW Ei …(8) However, if roll opening control is not performed, the width deviation at the exit side of the vertical rolling mill is usually extremely small, and ΔD Ri ≫ Since ΔD Ei , ΔD Ri-1 ≫ΔD Ei , the width deviation ΔD Ri in the above equation (8) can be expressed as in the following equation (9).

ΔDRi=γw・(ΔWEi+ΔDRi-1)−γ・ΔWEi =(γw−γ)・ΔWEi+γw・ΔDRi-1 …(9) 次に粗圧延機群の特定の圧延機、即ち入側から
m番目の垂直圧延機(実施例では4番目の垂直圧
延機E4)において、ロール開度の調節により粗
圧延機群出側の板幅変動を解消するよう板幅制御
を行う場合についてみる。この板幅制御は、粗圧
延機群出側の板幅変動が零となるよう行われるも
のであり、当然変動部に対する圧延に際してはそ
の後の圧延により幅偏差が生じる分を補償し得る
よう、非変動部に比較してその板幅を修正する必
要がある。ここで、変動部が広幅部に相当する場
合は非変動部に比較してその板幅を狭め、変動部
が狭幅部に相当する場合は非変動部に比較してそ
の板幅を広げるように修正する必要がある。そこ
でいまこの値、即ち非変動部の板幅に対し変動部
の板幅を修正する値をΔwmとする。一方、m番
目の水平圧延機出側の幅偏差ΔDRnは一般式とし
ての前記(8)式において、ΔWEiをΔWEnで、また
ΔDRi-1をΔDRn-1で置換される。更にi番目の垂
直圧延機出側の幅偏差であるΔDEiは、上述の如
くm番目の垂直圧延機においてロール開度の調節
をして非変動部の板幅よりも変動部の板幅を
Δwmだけ修正制御するからこの幅偏差はΔwmの
符号を逆にした−Δwmで置換されることになる。
ΔD Ri = γw・(ΔW Ei +ΔD Ri-1 )−γ・ΔW Ei =(γw−γ)・ΔW Ei +γw・ΔD Ri-1 …(9) Next, a specific rolling mill of the rough rolling mill group, i.e. In the m-th vertical rolling mill from the entry side (the fourth vertical rolling mill E 4 in the example), strip width control is performed to eliminate strip width fluctuations on the exit side of the roughing mill group by adjusting the roll opening degree. Let's take a look. This strip width control is performed so that the strip width variation on the exit side of the rough rolling mill group is zero, and of course, when rolling the fluctuating section, non-standard control is performed to compensate for the width deviation caused by subsequent rolling. It is necessary to correct the plate width compared to the variable part. Here, if the variable part corresponds to a wide part, the plate width is narrowed compared to the non-variable part, and if the variable part corresponds to a narrow part, the plate width is made wider compared to the non-variable part. need to be corrected. Therefore, let this value, that is, the value for correcting the plate width of the variable part with respect to the plate width of the non-variable part, be Δwm. On the other hand, for the width deviation ΔD Rn on the exit side of the m-th horizontal rolling mill, in the general formula (8), ΔW Ei is replaced by ΔW En , and ΔD Ri-1 is replaced by ΔD Rn-1 . Furthermore, ΔD Ei , which is the width deviation on the exit side of the i-th vertical rolling mill, is determined by adjusting the roll opening degree in the m-th vertical rolling mill as described above, so that the strip width in the variable section is wider than the strip width in the non-variable section. Since the correction control is performed by Δwm, this width deviation is replaced by −Δwm, which is the sign of Δwm reversed.

従つて(8)式は ΔDRn=(γw−γ)・ΔWEn+γw・ΔDRn-1 −(1−γw)・Δwm …(10) と表わせる。 Therefore, equation (8) can be expressed as ΔD Rn = (γw−γ)・ΔW En +γw・ΔD Rn−1 −(1−γw)・Δwm (10).

他方粗圧延機群におけるn番目、即ち最終の水
平圧延機(実施例では6番目の水平圧延機R6
出側における変動部の幅偏差ΔDRoはm番目迄の
前記(9)式の繰り返し適用により、(11)式の如く表わ
せる。
On the other hand, the nth or final horizontal rolling mill in the rough rolling mill group (in the example, the sixth horizontal rolling mill R 6 )
The width deviation ΔD Ro of the fluctuating portion on the output side can be expressed as in equation (11) by repeatedly applying equation (9) up to the mth point.

ΔDRo=(γw−γ)・(ΔWEo+γw・ΔWEo-1 +…+γwn-m-1・ΔWEn+1) +γwn-m・ΔDRn …(11) 上記(11)式に(10)式で示されるΔDRnを代入すれば
m番目の垂直圧延機にてロール開度を修正したと
きにおける粗圧延機群出側での幅偏差ΔDRoは(12)
式の如く表わせる。
ΔD Ro = (γw−γ)・(ΔW Eo +γw・ΔW Eo−1 +…+γw nm−1・ΔW En+1 ) +γw nm・ΔD Rn …(11) In equation (11) above, use equation (10) By substituting the indicated ΔD Rn , the width deviation ΔD Ro at the outlet side of the rough rolling mill group when the roll opening degree is corrected in the m-th vertical rolling mill is (12)
It can be expressed as follows.

ΔDRo=(γw−γ)・(ΔWEo+γw・ΔWEo-1 +…+γwn-m-1・ΔWEn+1) +γwn-m{(γw−γ)・ΔWEo +γw・ΔDRn-1−(1−γw)Δwn} =(γw−γ)・(ΔWEn+γw・ΔWEo-1 +…+γwn-m・ΔWEn) +γwn-m+1・ΔDRn-1−γwn-m・ (1−γw)Δwm …(12) 而して粗圧延機群出側における幅偏差ΔDRo
零とするために必要とされるm番目の垂直圧延機
における非変動部に対する幅殺し量と比較した場
合の変動部に対する幅殺し量の増加量Δwmは
(13)式で与えられる。
ΔD Ro = (γw−γ)・(ΔW Eo +γw・ΔW Eo−1 +…+γw nm−1・ΔW En+1 ) +γw nm {(γw−γ)・ΔW Eo +γw・ΔD Rn−1 −(1 −γw)Δwn} = (γw−γ)・(ΔW En +γw・ΔW Eo-1 +…+γw nm・ΔW En ) +γw n-m+1・ΔD Rn-1 −γw nm・(1−γw)Δwm ...(12) Therefore, the width reduction amount for the fluctuating part when compared with the width reduction amount for the non-fluctuation part in the m-th vertical rolling mill, which is required to make the width deviation ΔD Ro on the exit side of the rough rolling mill group zero, is The amount of increase Δwm in width reduction amount is given by equation (13).

Δwm=1/γwn-m(1−γw)・{(γw−γ)・ (ΔWEo-1+…+γwn-m・ΔWEn) +γwn-m+1・ΔDRn-1} …(13) 従つてm番目の垂直圧延機において、変動部に
対する幅殺し量を非変動部の幅殺し量よりも上記
(13)式で与えられるΔwmだけ増大するようロー
ル開度を制御することにより、粗圧延機群出側に
おける幅偏差ΔDRoを零ならしめることが出来る。
ただ具体的なロール開度の変更量ΔSEnは、塑性
曲線の傾斜をQ,m番目の垂直圧延機のミル剛性
係数をKとして、(14)式で表わせるように制御
すればよい。
Δwm=1/γw nm (1−γw)・{(γw−γ)・(ΔW Eo-1 +…+γw nm・ΔW En ) +γw n-m+1・ΔD Rn-1 } …(13) Therefore In the m-th vertical rolling mill, by controlling the roll opening degree so that the width reduction amount for the variable section is increased by Δwm given by the above equation (13) than the width reduction amount for the non-variable section, the rough rolling mill group The width deviation ΔD Ro on the exit side can be made zero.
However, the specific change amount ΔS En of the roll opening degree may be controlled so that it can be expressed by equation (14), where Q is the slope of the plasticity curve and K is the mill rigidity coefficient of the m-th vertical rolling mill.

ΔSEn=K+Q/K(Δwm+ΔDEn) …(14) 但し、ΔDEn:m番目の垂直圧延機でロール開
度の調節を行わない場合の幅偏差 通常Δwm≫ΔDEnであるから上記(14)式は下
記(15)式の如く書き直せる。
ΔS En =K+Q/K(Δwm+ΔD En ) …(14) However, ΔD En : Width deviation when the roll opening degree is not adjusted in the m-th vertical rolling mill Since Δwm≫ΔD En , the above (14) The equation can be rewritten as equation (15) below.

ΔSEn=K+Q/K・Δwm …(15) なお、上記の説明は板幅測定を粗圧延機入側か
ら(m−1)番目の水平圧延機出側で行い、その
結果に基づいて得た被圧延材の幅偏差を次のm番
目の垂直圧延機で制御する場合について示した
が、このロール開度の制御はm番目以降のいずれ
の垂直圧延機にて行つてもよいことは勿論であ
る。
ΔS En =K+Q/K・Δwm…(15) The above explanation was obtained based on the results obtained by measuring the strip width at the (m-1)th horizontal rolling mill exit side from the roughing mill entry side. The case where the width deviation of the rolled material is controlled by the m-th vertical rolling mill has been shown, but it goes without saying that the roll opening degree may be controlled by any of the m-th vertical rolling mills. be.

次に被圧延材1を粗圧延機群の出側において、
予め定めた目標幅W6^に圧延すべく垂直圧延機E5
のロール開度修正量の算出過程を第3図に示すフ
ローチヤートに基いて説明する。
Next, the material to be rolled 1 is placed on the exit side of the rough rolling mill group,
Vertical rolling mill E 5 to roll to a predetermined target width W 6 ^
The calculation process of the roll opening correction amount will be explained based on the flowchart shown in FIG.

先ず最初に垂直圧延機E1へ供給される被圧延
材1、例えばスラブの板幅、板厚、温度、或いは
粗圧延機群出側における被圧延材1の目標幅、各
水平圧延機R1〜R5出側毎の中間での目標幅、そ
の他の圧延条件等を適宜入力装置4を用いてコン
ピユータ3に予め記憶させておく。
First, the width, thickness, and temperature of the rolled material 1 supplied to the vertical rolling mill E 1 , for example, the slab, or the target width of the rolled material 1 at the exit side of the roughing mill group, and each horizontal rolling mill R 1 ~R 5 The target width at the middle of each exit side, other rolling conditions, etc. are stored in advance in the computer 3 using the input device 4 as appropriate.

而してまず垂直圧延機E4入側における被圧延
材1の板幅W4を水平圧延機R3出側における被圧
延材1の平均幅w3A(幅計2の実測平均値)とし
()、垂直圧延機E4については前記した如く制
御されるロール開度に基いて(また垂直圧延機
E5〜E6については予め設定されているパススケ
ジユールに基くロール開度SEjに基いて)垂直圧
延機E4(以下一般化してEj(j=4〜6)とする)
の圧延荷重P4(同じくPjとする)を下記(16)式
に基いて算出する()。即ち圧延荷重Pjは Pj=1.15Kfm・ld・Hj・Qp/1000 …(16) Qp=(1−e-10.8Hj/Wj) ・{0.24ld/(Wj−2/3ΔWEj) +0.28(Wj−2/3ΔWEj)/ld+0.39} 但し、Kfm:平均変形抵抗 ld:投影接触弧長 Hj:垂直圧延機入側板厚 ΔWEj:幅殺し
量(Wj−SEj) Wj:垂直圧延機入側板幅 この圧延荷重Pjとミル剛性Mjとから垂直圧延
機Ejによる被圧延材1の幅殺し量ΔWEjを下記
(17)式に基いて算出する()。
First, let the plate width W 4 of the rolled material 1 at the input side of the vertical rolling mill E 4 be the average width w 3A (actually measured average value of the total width 2) of the rolled material 1 at the exit side of the horizontal rolling mill R 3 ( ), for vertical rolling mill E 4 , based on the roll opening controlled as described above (and for vertical rolling mill E 4).
For E 5 to E 6 , the vertical rolling mill E 4 (hereinafter generalized as Ej (j = 4 to 6))
The rolling load P 4 (also referred to as Pj) is calculated based on the following formula (16) (). In other words, the rolling load Pj is Pj=1.15Kfm・ld・Hj・Qp/1000...(16) Qp=(1−e -10.8Hj/Wj ) ・{0.24ld/(Wj−2/3ΔW Ej ) +0.28( Wj−2/3ΔW Ej )/ld+0.39} However, Kfm: Average deformation resistance ld: Projected contact arc length Hj: Plate thickness at the entrance of the vertical rolling mill ΔW Ej : Width reduction amount (Wj−S Ej ) Wj: Vertical rolling mill Inlet side plate width From this rolling load Pj and mill rigidity Mj, the width reduction amount ΔW Ej of the rolled material 1 by the vertical rolling mill Ej is calculated based on the following formula (17) ().

ΔWEj=Wj−(SEj+Pj/Mj) …(17) この幅殺し量ΔWEjをステツプ()のΔWEj
与えステツプ〜を収束する迄ループにて繰
り返し、最終的にPjとΔWEjを求める。そして幅
殺し量ΔWEjと、垂直圧延機Ejの入側における板
幅Wjと、前記(3)式で与えられる盛上り幅拡がり
量wMjに基いて水平圧延機Rj出側における板幅wj
を算出する()。次いでこの板幅wjを垂直圧延
機Ej+1の入側における被圧延材1の板幅Wj+1とし
()、これを順次j=4からj=6迄繰り返して
粗圧延機群の出側、即ち水平圧延機R6出側にお
ける被圧延材1の平均板幅w6Aを予測演算し、こ
の予測平均幅w6Aと、粗圧延機群の出側における
被圧延材1について予め設定されている目標幅
W6との差Δw6を求め()、この差の絶対値が許
容範囲δ(例えば0.1mm)を超えるか否かを検討す
る()。
∆W Ej = Wj - (S Ej + Pj / Mj) ... (17) Apply this width killing amount ∆W Ej to ∆W Ej in step () and repeat in a loop until convergence in step ~, and finally set Pj and ∆W Ej . demand. Then, based on the width reduction amount ΔW Ej , the strip width Wj at the entrance side of the vertical rolling mill Ej, and the bulge width expansion amount w Mj given by the above equation (3), the strip width w j at the exit side of the horizontal rolling mill Rj.
Calculate (). Next, this plate width w j is set as the plate width W j+1 of the rolled material 1 at the entrance side of the vertical rolling mill E j+1 (), and this is repeated sequentially from j = 4 to j = 6 to form the rough rolling mill group. The average plate width w 6A of the rolled material 1 at the exit side of the horizontal rolling mill R 6 is predicted and calculated, and this predicted average width w 6A and the rolled material 1 at the exit side of the rough rolling mill group are calculated in advance. Set target width
The difference Δ w6 from W 6 is determined (), and it is examined whether the absolute value of this difference exceeds the tolerance range δ (for example, 0.1 mm) ().

この条件が満されない場合(NO)は垂直圧延
機E5、水平圧延機R5における盛上り幅拡がり係
数γ5(例えば0.6〜0.9の値)及び水平圧延機R6
側における被圧延材1の予測平均幅w6Aと、目標
幅W6^との差Δw6を用いて、被圧延材1を水平圧
延機R6出側において目標幅W6^とするための垂直
圧延機E5の幅殺し量ΔWE5を近似的にΔWE5
Δw6/(1−γ5)と修正し()、ステツプに
戻る()。そしての条件が満される迄ステツ
プ〜の処理を反復する。但し、この反復処理
j=5からj=6迄の繰り返しでj=5の場合に
はステツプ,を省略したループによる。ス
テツプの条件が満足される(YES)と、垂直
圧延機E5の圧延荷重P5を算出し()、この圧延
荷重P5とミル剛性M5と、垂直圧延機E5の入側に
おける板幅WE5とによる式SE5※=WE5−P5/M5に基 いて垂直圧延機E5のロール開度SE5※を算出し
()、次いでロール開度SE5※と、圧延スケジユ
ールで定められた当初のロール開度SE5とによる
式ΔSE5=SE5※−SE5に基いて垂直圧延機E5のロー
ル開度修正量ΔSE5を算出し、垂直圧延機E5のロ
ール開度を修正制御する。
If this condition is not met (NO), the heap width expansion coefficient γ 5 (for example, a value of 0.6 to 0.9) in the vertical rolling mill E 5 and the horizontal rolling mill R 5 and the rolled material 1 on the exit side of the horizontal rolling mill R 6 Using the difference Δ w6 between the predicted average width w 6A of Approximate width reduction amount ΔW E5 as ΔW E5 +
Correct it as Δ w6 /(1-γ 5 ) () and return to step (). Then, the process from step to is repeated until the condition is satisfied. However, in this iterative process from j=5 to j=6, if j=5, a loop is used in which step 2 is omitted. If the step condition is satisfied (YES), the rolling load P 5 of the vertical rolling mill E 5 is calculated (), and the rolling load P 5 and the mill stiffness M 5 are combined with the plate at the entrance side of the vertical rolling mill E 5 . Calculate the roll opening S E5 * of the vertical rolling mill E 5 based on the width W E5 and the formula S E5 * = W E5 − P 5 / M 5 (), then calculate the roll opening S E5 * and the rolling schedule. Calculate the roll opening correction amount ΔS E5 of vertical rolling mill E 5 based on the initial roll opening S E5 determined by the formula ΔS E5 = S E5 *−S E5 , and calculate the roll opening correction amount ΔS E5 of vertical rolling mill E 5 Correctly control the opening.

次に本発明方法の実施結果を説明する。実施例
ではスラブ幅を1250mm、スラブ厚270mm、粗圧延
機群出側の目標幅1207mmとした。
Next, the results of implementing the method of the present invention will be explained. In the example, the slab width was 1250 mm, the slab thickness was 270 mm, and the target width on the roughing mill outlet side was 1207 mm.

第4図イは本発明方法によつて得た被圧延材の
板幅を粗圧延機出側でその先端から後端に至るま
で実測した結果を示すグラフであり、図中太線は
本発明方法によつて得た被圧延材の実測幅を、細
線は目標幅を、破線は垂直圧延機による幅偏差の
制御のみを行つた結果を示している。
FIG. 4A is a graph showing the results of actually measuring the strip width of the rolled material obtained by the method of the present invention from the tip to the rear end on the exit side of the rough rolling mill, and the thick line in the figure indicates the width of the rolled material obtained by the method of the present invention. The thin line indicates the target width, and the broken line indicates the result obtained only by controlling the width deviation by the vertical rolling mill.

このグラフから明らかなように本発明方法に依
つて得た被圧延材の板幅は目標値に一致している
のに対し、単に幅偏差の制御のみを行つただけで
は板幅変動差自体は解消されているが、平均幅は
目標幅と比較して略3mm程度のずれが生じてい
る。なお参照のため1基の垂直圧延機を用いた従
来方法によつて得た被圧延材の粗圧延機群出側の
実測幅を第4図ロに示す。第4図ロは従来方法に
よつて得た被圧延材の板幅を粗圧延機群出側でそ
の先端から後端まで実測した結果を示すグラフで
あり、図中太線は従来方法によつて得た被圧延材
の実測幅を、細線は目標幅を、破線は無制御の場
合を示している。このグラフから明らかなように
無制御の場合は、目標幅よりも平均幅が3mm広
く、また板幅変動量は5mm生じており、この場合
に比較して従来方法の場合は平均幅、板幅変動量
とも無制御の場合に比較して改善されてはいる
が、板幅変動量については十分な解消がなされて
いないことが解る。
As is clear from this graph, the strip width of the rolled material obtained by the method of the present invention matches the target value, whereas simply controlling the width deviation does not reduce the strip width variation difference itself. Although the problem has been resolved, the average width still deviates by about 3 mm compared to the target width. For reference, the measured width of the material to be rolled obtained by the conventional method using one vertical rolling mill on the exit side of the rough rolling mill group is shown in FIG. 4B. Figure 4 (b) is a graph showing the results of actual measurements of the strip width of the rolled material obtained by the conventional method from the tip to the rear end on the outlet side of the rough rolling mill group, and the thick line in the figure indicates the width of the material to be rolled obtained by the conventional method. The measured width of the obtained rolled material is shown, the thin line shows the target width, and the broken line shows the case without control. As is clear from this graph, in the case of no control, the average width is 3 mm wider than the target width, and the plate width variation is 5 mm. It can be seen that although both the amount of fluctuation has been improved compared to the case without control, the amount of sheet width fluctuation has not been sufficiently resolved.

第5図イは本発明方法によつて得た被圧延材に
おける平均幅と目標幅とのずれの分布を示すヒス
トグラム、第5図ロは幅偏差のみの制御を行い、
平均幅を目標幅に一致させる制御を行わなかつた
場合の同様のヒストグラムであり、これらヒスト
グラムはいずれも縦軸に圧延コイル数を、また横
軸に粗圧延機群出側における幅偏差値を示してい
る。これらヒストグラムから明らかなように、本
発明方法による場合は幅偏差のみの制御を行い、
平均幅を目標幅に一致させる制御を行わなかつた
場合に比較して各圧延コイルの幅偏差は非常に小
さいことが解る。
FIG. 5A is a histogram showing the distribution of the deviation between the average width and the target width in the rolled material obtained by the method of the present invention, and FIG.
These are similar histograms when the average width is not controlled to match the target width, and in both of these histograms, the vertical axis shows the number of rolled coils, and the horizontal axis shows the width deviation value on the rough rolling mill group exit side. ing. As is clear from these histograms, in the case of the method of the present invention, only the width deviation is controlled;
It can be seen that the width deviation of each rolled coil is very small compared to the case where no control is performed to match the average width with the target width.

以上の如く本発明方法にあつては幅偏差に対す
る制御と平均幅に対する制御とを別個の垂直圧延
機によつて行うこととしているから被圧延材の平
均幅が目標幅を大幅に上回り、また下回る場合に
あつても、垂直圧延機の過負荷、或いは板幅制御
不能等の不都合を生じることがなく、また、本発
明は粗圧延機群出側における被圧延材の長手方向
各部の予測平均幅からの幅偏差を零とするロール
開度制御、並びに粗圧延機群出側における予測平
均幅を目標幅に略等しくするロール開度設定値の
修正制御を夫々幅計よりも下流側に位置する垂直
圧延機A及びこれよりも更に下流に位置する垂直
圧延機Bにおいて行う、所謂フイードフオワード
制御を行うこととしているから、高い制御精度が
得られるなど本発明は優れた効果を奏するもので
ある。
As described above, in the method of the present invention, the control of the width deviation and the control of the average width are performed by separate vertical rolling mills, so the average width of the rolled material greatly exceeds and falls below the target width. Even in such a case, problems such as overloading of the vertical rolling mill or uncontrollable strip width will not occur, and the present invention can improve the predicted average width of each part in the longitudinal direction of the rolled material on the exit side of the rough rolling mill group. Roll opening control to make the width deviation from the rough rolling mill group zero to zero, and roll opening setting correction control to make the predicted average width at the exit side of the rough rolling mill approximately equal to the target width are both located downstream of the width gauge. Since the so-called feed forward control is performed in the vertical rolling mill A and the vertical rolling mill B located further downstream from the vertical rolling mill A, the present invention has excellent effects such as high control accuracy. be.

【図面の簡単な説明】[Brief explanation of drawings]

第1図は本発明方法を実施するための装置及び
その制御系を示す模式図、第2図イ,ロ,ハは垂
直圧延における幅殺しと、水平圧延における幅拡
がりの関係を示す説明図、第3図は粗圧延機群出
側において被圧延材の平均幅を目標幅に一致させ
るための垂直圧延機におけるロール開度修正量を
算出する過程を示すフローチヤート、第4図イは
本発明方法によつて板幅制御を行つた被圧延材全
体の板幅変化を示すグラフ、第4図ロは従来方法
によつて板幅制御を行つた被圧延材全体の板幅変
動を示すグラフ、第5図イは本発明方法によつて
板幅制御を行つた被圧延材のコイル数と板幅偏差
との関係を示すヒストグラム、第5図ロは幅偏差
のみの制御を行つて得た圧延コイル数と幅偏差と
の関係を示すヒストグラム、第6図は従来の板幅
制御方法の実施をするための装置及びその制御系
を示す模式図、第7図イ,ロは同じくその板幅制
御の態様を示すグラフである。 1……被圧延材、2……幅計、3……コンピユ
ータ、E1〜E6……垂直圧延機、R1〜R6……水平
圧延機。
FIG. 1 is a schematic diagram showing an apparatus for carrying out the method of the present invention and its control system; FIG. 2 A, B, and C are explanatory diagrams showing the relationship between width reduction in vertical rolling and width expansion in horizontal rolling; Fig. 3 is a flowchart showing the process of calculating the roll opening correction amount in the vertical rolling mill in order to make the average width of the rolled material match the target width on the exit side of the rough rolling mill group, and Fig. 4 A shows the invention of the present invention. A graph showing the change in the width of the entire rolled material whose width was controlled by the conventional method; FIG. Figure 5(a) is a histogram showing the relationship between the number of coils and width deviation of the rolled material whose width was controlled by the method of the present invention, and Figure 5(b) is a histogram showing the relationship between the number of coils and the width deviation of the rolled material whose width was controlled by the method of the present invention. A histogram showing the relationship between the number of coils and the width deviation, Figure 6 is a schematic diagram showing the device and its control system for implementing the conventional strip width control method, and Figures 7 A and B also show the same strip width control. It is a graph which shows the aspect of this. DESCRIPTION OF SYMBOLS 1... Material to be rolled, 2... Width meter, 3... Computer, E1 to E6 ... Vertical rolling mill, R1 to R6 ... Horizontal rolling mill.

Claims (1)

【特許請求の範囲】[Claims] 1 複数の垂直圧延機と、複数の水平圧延機とを
交互に配設して構成される熱間粗圧延機群におい
て、粗圧延機群中間の水平圧延機出側に配置され
た幅計にて被圧延材長手方向各部の板幅を実測
し、この実測値に基いて前記水平圧延機出側にお
ける被圧延材の実測平均幅及び被圧延材の長手方
向各部における実測平均幅からの幅偏差を求める
と共に、前記実測平均幅に基いて予測される粗圧
延機群出側における予測平均幅を求め、前記幅偏
差に基いて予測される粗圧延機群出側における予
測平均幅からの幅偏差を零とするよう、前記幅計
よりも下流側に位置する垂直圧延機Aにて、被圧
延材圧延中にロール開度を制御すると共に、前記
ロール開度の制御を行う垂直圧延機Aよりも下流
の垂直圧延機Bにおいて、粗圧延機群出側におけ
る予測平均幅を目標幅に略等しくするよう被圧延
材の先端が垂直圧延機Bに到達する以前に垂直圧
延機Bのロール開度設定値を修正することを特徴
とする板幅制御方法。
1. In a hot rough rolling mill group consisting of a plurality of vertical rolling mills and a plurality of horizontal rolling mills arranged alternately, a width meter placed on the exit side of the horizontal rolling mill in the middle of the rough rolling mill group. Measure the plate width of each part in the longitudinal direction of the rolled material, and based on this measured value, calculate the actual average width of the rolled material at the exit side of the horizontal rolling mill and the width deviation from the actual average width of each part of the rolled material in the longitudinal direction. At the same time, calculate the predicted average width at the exit side of the rough rolling mill group predicted based on the measured average width, and calculate the width deviation from the predicted average width at the exit side of the rough rolling mill group predicted based on the width deviation. In a vertical rolling mill A located on the downstream side of the width gauge, the roll opening degree is controlled during rolling of the material to be rolled, and the roll opening degree is controlled to be zero. Also, in the downstream vertical rolling mill B, the roll opening of the vertical rolling mill B is adjusted before the tip of the material to be rolled reaches the vertical rolling mill B so that the predicted average width at the outlet side of the rough rolling mill group is approximately equal to the target width. A plate width control method characterized by modifying a set value.
JP1168680A 1980-01-31 1980-01-31 Controlling method for breadth of sheet Granted JPS56154212A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP1168680A JPS56154212A (en) 1980-01-31 1980-01-31 Controlling method for breadth of sheet

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP1168680A JPS56154212A (en) 1980-01-31 1980-01-31 Controlling method for breadth of sheet

Publications (2)

Publication Number Publication Date
JPS56154212A JPS56154212A (en) 1981-11-28
JPS6358644B2 true JPS6358644B2 (en) 1988-11-16

Family

ID=11784892

Family Applications (1)

Application Number Title Priority Date Filing Date
JP1168680A Granted JPS56154212A (en) 1980-01-31 1980-01-31 Controlling method for breadth of sheet

Country Status (1)

Country Link
JP (1) JPS56154212A (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS6257705A (en) * 1985-09-04 1987-03-13 Ishikawajima Harima Heavy Ind Co Ltd Method and apparatus for controlling sheet width

Also Published As

Publication number Publication date
JPS56154212A (en) 1981-11-28

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