JP2007196261A - Method and apparatus for detecting/controlling edge drop in cold rolling - Google Patents

Method and apparatus for detecting/controlling edge drop in cold rolling Download PDF

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JP2007196261A
JP2007196261A JP2006017688A JP2006017688A JP2007196261A JP 2007196261 A JP2007196261 A JP 2007196261A JP 2006017688 A JP2006017688 A JP 2006017688A JP 2006017688 A JP2006017688 A JP 2006017688A JP 2007196261 A JP2007196261 A JP 2007196261A
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thickness
plate
profile
edge drop
cold rolling
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JP4784320B2 (en
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Katsuhiro Takebayashi
克浩 竹林
Masayasu Ueno
雅康 植野
Isao Akagi
功 赤木
Toru Isokawa
徹 磯川
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JFE Steel Corp
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JFE Steel Corp
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Abstract

<P>PROBLEM TO BE SOLVED: To carry out accurate edge drop control by means of a scanning type profile meter using a low priced γ ray thickness gauge. <P>SOLUTION: A fixed type thickness gauge and scanning type thickness gauges using γ ray sources are arranged on the inlet side of a cold rolling mill train 6. The fixed type thickness gauge 2 measures the thickness of the central portion of a strip 1. Besides, the scanning type thickness gauges 3 measure the plate thickness profile in the direction of the width by mechanically scanning the strip 1 in the direction of the width. When a feedforward control of the edge drop for changing shift positions of work rolls 7 is carried out based on the measured plate thickness profile, the plate thickness profile estimated using the measured values by the γ ray thickness gauges arranged inside the edge portions of the plate width is used as the plate thickness profile at the edge portions of the plate width, where the accuracy of the γ ray thickness gauges cannot be assured. <P>COPYRIGHT: (C)2007,JPO&INPIT

Description

本発明は、冷間圧延におけるエッジドロップの検出・制御方法及び装置に係り、特に、薄鋼板に用いるのに好適な、ワークロールの端部に付与したテーパ状のクラウンによって、幅方向のエッジ端部に発生するエッジドロップを小さくして、幅方向板厚偏差を小さくすることが可能な、冷間圧延におけるエッジドロップの検出・制御方法及び装置に関するものである。   The present invention relates to a method and an apparatus for detecting and controlling edge drop in cold rolling, and in particular, an edge end in the width direction by a tapered crown applied to the end of a work roll, which is suitable for use in a thin steel plate. The present invention relates to a method and an apparatus for detecting and controlling edge drop in cold rolling, which can reduce edge drop generated in a section and reduce thickness direction thickness deviation.

冷間圧延において、板のエッジ部はワークロール偏平の急激な回復、及び圧延材の幅方向のメタルフローにより中央部よりも板厚が急激に薄くなる、いわゆるエッジドロップが発生するのが一般的である。このエッジドップが大きいと板幅方向に均一な板厚が得られず、品質の良好な製品を得るためには耳切り代を大きくする必要があり、歩留まりを低下させ、非効率な生産を余儀なくされる。   In cold rolling, it is common for the edge portion of the plate to have a so-called edge drop, in which the plate thickness is sharply thinner than the central portion due to the rapid recovery of the work roll flatness and the metal flow in the width direction of the rolled material. It is. If this edge dop is large, a uniform plate thickness cannot be obtained in the plate width direction, and in order to obtain a product with good quality, it is necessary to increase the ear cutting margin, resulting in a decrease in yield and inefficient production. The

従来、このエッジドロップを軽減する方法としては、ロールにベンディング力を負荷する方法や、ワークロールにイニシャルクラウンを付与する方法があった。   Conventionally, methods for reducing this edge drop include a method of applying a bending force to the roll and a method of applying an initial crown to the work roll.

又、単純なテーパ状のクラウンをロール端部に付与し、ワークロールを軸方向にシフトさせ、このテーパで板のエッジ部を圧延する方法が特許文献1に開示されている。   Further, Patent Document 1 discloses a method in which a simple tapered crown is applied to the roll end, the work roll is shifted in the axial direction, and the edge of the plate is rolled with this taper.

これらの制御においては、母板コイル(ホットコイル)のクラウン変動を補償するために、特許文献2に示されているように、冷間圧延機出側に設置したエッジドロップ計の情報により、エッジドロップ実績値を計測し、目標値との偏差に基づいて、ワークロールのシフト位置を変更するフィードバック制御や、特許文献3に示されるように、圧延機入側にプロフィール計を設置してホットコイルのクラウンを測定し、この測定値に基づいて、ワークロールのテーパ位置を変更するフィードフォワード制御が行われていた。   In these controls, in order to compensate for the crown fluctuation of the base plate coil (hot coil), as shown in Patent Document 2, the edge drop meter installed on the outlet side of the cold rolling mill determines the edge A feedback control that measures the actual drop value and changes the work roll shift position based on the deviation from the target value, and as shown in Patent Document 3, a hot-coil is installed by installing a profile meter on the rolling mill entrance side. Feed forward control is performed to measure the crown of the workpiece roll and change the taper position of the work roll based on the measured value.

特開昭55−77903号公報JP 55-77903 A 特開昭60−12213号公報Japanese Patent Laid-Open No. 60-12213 特開昭61−222619号公報Japanese Patent Laid-Open No. 61-222619

これらの方法によれば、ホットコイルのクラウン変動を補償して冷間圧延後のエッジドロップを安定して軽減することが可能となるが、冷間圧延機の出側あるいは入側にエッジドロップ計やプロフィール計などと称される板幅方向の板厚偏差を測定できる計測器を設置する必要がある。   According to these methods, it is possible to compensate for the crown variation of the hot coil and stably reduce the edge drop after the cold rolling, but the edge drop meter on the outlet side or the inlet side of the cold rolling mill. It is necessary to install a measuring instrument that can measure the thickness deviation in the plate width direction, called a profile meter.

ストリップの板幅方向プロフィールの測定方法としては、図1に示されるように、放射線源を用いた固定型及び走査型の2式の板厚測定器を配置し、固定型板厚測定器2はストリップ1中央部の厚さを測定し、一方、走査型測定器3はストリップ1の板幅方向に機械的に走査して幅方向の板厚プロフィールを測定する方法や、図2に示されるように、前記走査型測定器3の替わりに放射線発生器4とマルチチャンネル放射線検出器5を配して幅方向の板厚プロフィールを連続的に測定する方法などが実用化されている。   As shown in FIG. 1, as a method of measuring the strip width direction profile of the strip, two types of thickness measuring devices of a fixed type and a scanning type using a radiation source are arranged. The thickness of the central portion of the strip 1 is measured, while the scanning type measuring device 3 mechanically scans the strip 1 in the plate width direction to measure the plate thickness profile in the width direction, as shown in FIG. In addition, a method of continuously measuring a plate thickness profile in the width direction by arranging a radiation generator 4 and a multi-channel radiation detector 5 in place of the scanning measuring device 3 has been put into practical use.

これらプロフィール計の放射線源としては、X線あるいはγ線が用いられるが、X線を使用したX線厚さ計は大線量が容易に得られ、低雑音・高速応答に優れるという特長からプロフィール測定用の厚さ計として用いられ、特にエッジ部近傍のプロフィールの測定には前記多チャンネル型の測定装置と組み合わせたプロフィール計が好適である反面、高価であるという難点があった。   X-rays or γ-rays are used as radiation sources for these profile meters. X-ray thickness gauges using X-rays are capable of obtaining large doses easily and providing profile measurements because of their excellent low noise and high-speed response. In particular, a profile meter combined with the multi-channel type measuring device is suitable for measuring a profile in the vicinity of an edge portion, but has a disadvantage that it is expensive.

一方、冷延鋼板の測定を目的としたγ線厚さ計には、板厚測定範囲が0〜5mmの特性を持つAm(アメリシウム)厚さ計が一般的に用いられ、X線厚さ計と較べて安価であるという利点を有する反面、大線量化は難しいために、多チャンネル型のプロフィール計への適用が困難であると共に、走査型のプロフィール計に適用するにあたっては、線源の大きさが25〜50mmφと大きいために最エッジ部の測定精度に限界があり、精度が保証できる板幅方向の範囲は、せいぜい板幅端部から線源の大きさ相当より板幅中央寄りに限られる。   On the other hand, as a γ-ray thickness meter for the purpose of measuring a cold-rolled steel sheet, an Am (Americium) thickness meter having a thickness measurement range of 0 to 5 mm is generally used. Although it has the advantage of being inexpensive compared to the conventional method, it is difficult to increase the dose, so it is difficult to apply it to a multi-channel profile meter. The measurement accuracy at the outermost edge has a limit because it is as large as 25 to 50 mmφ, and the range in the plate width direction that can guarantee the accuracy is limited to the plate width end from the plate width end to the center of the plate width at most. It is done.

しかしながら、冷間圧延におけるエッジドロップ制御の対象範囲は板幅端部のおおよそ50mmの範囲であり、この範囲の板厚が正確に測定できないために、γ線源を用いたプロフィール計はエッジドロップ制御に用いるには不適であるという欠点を有していた。   However, the target range of edge drop control in cold rolling is the range of approximately 50 mm at the end of the plate width, and the plate thickness in this range cannot be measured accurately. It has the disadvantage of being unsuitable for use.

本発明は、前記従来の問題点を解消するべくなされたもので、安価なγ線厚さ計を用いた走査型のプロフィール計により高精度なエッジドロップ制御を行えるようにすることを課題とする   The present invention has been made to solve the above-described conventional problems, and it is an object of the present invention to enable highly accurate edge drop control by a scanning profile meter using an inexpensive γ-ray thickness meter.

発明者らは、冷延に供される母板コイルについて詳細に解析した結果、最エッジから20〜30mmまでの範囲のプロフィールであれば、それより内側のクラウンから推定することが可能であることを見出し、本発明に至った。   As a result of detailed analysis of the mother coil used for cold rolling, the inventors can estimate from the inner crown if the profile is in the range of 20 to 30 mm from the outermost edge. And found the present invention.

即ち、本発明は、γ線源を用いた、例えば1台の固定型及び、例えば1台乃至2台の走査型の板厚測定器を冷間圧延機列の入側に配置し、固定型板厚測定器はストリップ中央部の厚さを測定し、一方、走査型板厚測定器はストリップの板幅方向に機械的に走査することによって測定される幅方向の板厚プロフィールを用いてワークロールのシフト位置を変更するエッジドロップのフィードフォワード制御を行うに際し、γ線厚さ計の精度が保証されない板幅端部の板厚プロフィールに、板幅端部より内側のγ線厚さ計測定値を用いて推定した板厚プロフィールを用いることによって、前記課題を解決したものである。   That is, the present invention uses a γ-ray source, for example, one fixed type and, for example, one or two scanning type plate thickness measuring instruments are arranged on the inlet side of the cold rolling mill row, and the fixed type The thickness gauge measures the thickness at the center of the strip, while the scanning thickness gauge measures the workpiece using the thickness profile in the width direction measured by mechanical scanning in the width direction of the strip. When performing feed-forward control of edge drop that changes the roll shift position, the γ-ray thickness meter measurement value inside the plate width end is shown in the plate thickness profile at the end of the plate width where the accuracy of the γ-ray thickness meter is not guaranteed. The above-mentioned problem is solved by using the plate thickness profile estimated by using.

又、板幅端部より内側の測定板厚から板幅端部のプロフィールを推定する方法として、板幅端部より内側の測定クラウンを定められた複数の偶数次からなる多次式に当て嵌め、この式を用いて板幅端部のプロフィールを推定するようにしたものである。   In addition, as a method of estimating the profile of the plate width end from the measured plate thickness inside the plate width end, the measurement crown inside the plate width end is fitted to a plurality of even-ordered multi-order equations. The profile of the plate width end portion is estimated using this equation.

あるいは、板幅端部より内側の定められた位置におけるクラウンと板幅端部プロフィールとの関係を予め統計的に求めておき、これを用いて板幅端部より内側の測定クラウンから板幅端部のプロフィールを推定するようにしたものである。   Alternatively, the relationship between the crown and the plate width end profile at a predetermined position inside the plate width end is statistically calculated in advance, and this is used to measure the plate width end from the measurement crown inside the plate width end. The profile of the department is estimated.

本発明は、又、前記の方法で検出したエッジドロップを用いて、フィードフォワード制御を行なうことを特徴とする冷間圧延におけるエッジドロップの制御方法を提供するものである。   The present invention also provides an edge drop control method in cold rolling, wherein feedforward control is performed using the edge drop detected by the above method.

又、冷間圧延機列の入側に配置された、ストリップ中央部の厚さを測定するための、γ線源を用いた固定型板厚測定器、及び、ストリップの板幅方向に機械的に走査され、ストリップ幅方向の板厚プロフィールを測定するための、γ線源を用いた走査型板厚測定器と、板幅端部より内側のγ線厚さ計測定値を用いて、γ線厚さ計の精度が保証されない板幅端部の板厚プロフィールを推定する手段と、を備えたことを特徴とする冷間圧延におけるエッジドロップの検出装置を提供するものである。   Also, a fixed plate thickness measuring instrument using a γ-ray source for measuring the thickness of the central portion of the strip, which is arranged on the inlet side of the cold rolling mill row, and mechanical in the strip width direction. Γ-rays using a γ-ray thickness measuring instrument inside the plate width end and a scanning plate thickness measuring instrument using a γ-ray source to measure the thickness profile in the strip width direction. An apparatus for detecting an edge drop in cold rolling, comprising means for estimating a plate thickness profile at the end of the plate width where the accuracy of the thickness gauge is not guaranteed.

又、前記の検出装置を含むことを特徴とする冷間圧延におけるエッジドロップの制御装置を提供するものである。   Further, the present invention provides an edge drop control device in cold rolling characterized by including the detection device.

本発明によれば、安価なγ線厚さ計を用いて、最エッジまでの高精度なエッジドロップ制御が可能になり、エッジドロップが小さい鋼板の製造を安価な設備で行うことができる。   According to the present invention, it is possible to perform edge drop control with high accuracy up to the outermost edge by using an inexpensive γ-ray thickness meter, and it is possible to manufacture a steel sheet having a small edge drop with inexpensive equipment.

以下、図面を参照して、本発明の実施形態を詳細に説明する。   Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings.

本発明を適用するに好適な構成例を図3に示す。放射線源を用いた固定型及び走査型の2式の板厚測定器を圧延機群6の入側に配置し、固定型板厚測定器2はストリップ1中央部の厚さを測定し、一方、走査型板厚測定器3はストリップ1の板幅方向に機械的に走査して幅方向の板厚プロフィールを測定する。走査型板厚測定器3は1台でもよいが、作業側3a及び駆動側3bの2台を配する方が好ましい。   FIG. 3 shows a configuration example suitable for applying the present invention. A fixed-type and scanning-type plate thickness measuring device using a radiation source is arranged on the entrance side of the rolling mill group 6, and the fixed-type plate thickness measuring device 2 measures the thickness of the central portion of the strip 1, while The scanning plate thickness measuring device 3 mechanically scans the strip 1 in the plate width direction to measure the plate thickness profile in the width direction. The scanning plate thickness measuring device 3 may be one, but it is preferable to arrange two of the working side 3a and the driving side 3b.

このようなプロフィールの測定装置においては、図4に示される走査型測定器3の位置が、xのように板端よりも十分に幅方向中央側にあれば、放射線源31から放射される全ての放射線がストリップ1を通過するため、その減衰量により問題なく板厚が測定できるのであるが、走査型測定器3の位置が、xのように板端近傍となると、散乱線8が発生し、本来ストリップ1を透過して入射される放射線よりも極めて多くの放射線が検出器32に入射され、その結果、本来得られるべき真の板厚よりも薄い板厚として測定されることになる。 In the measuring apparatus of such a profile, the position of the scanning instrument 3 shown in FIG. 4, if sufficiently widthwise center side than Itatan as x 1, emitted from the radiation source 31 since all of the radiation passes through the strip 1, but it can measure the thickness without problems by attenuation thereof, the position of the scanning instrument 3 and the Itatan near as x 2, scattered rays 8 More radiation than is originally generated and incident through the strip 1 is incident on the detector 32 and, as a result, is measured as a thickness that is less than the true thickness that should originally be obtained. Become.

この関係を模式的に示したものが図5であって、板厚誤差が発生するのは測定器の板端からの距離がおおむね放射線源31の大きさDより小さくなる板端よりxの範囲である。ここで、放射線源に大線量が得られるX線を用いた板厚計の場合には、放射線源の大きさDは数mmであるため、この誤差が問題になることは少ないが、放射線源にγ線を用いた板厚計の場合には、放射線源の大きさDは25〜50mm程度もあるため、エッジドロップ制御に使用するエッジから50mm程度の範囲が正確に測定できないという致命的な欠点を有していたことは前述のとおりである。 FIG. 5 schematically shows this relationship, and the plate thickness error occurs because the distance from the plate end of the measuring device is approximately x A from the plate end which is smaller than the size D of the radiation source 31. It is a range. Here, in the case of a plate thickness meter using X-rays capable of obtaining a large dose as a radiation source, since the size D of the radiation source is several mm, this error is unlikely to be a problem. In the case of a thickness gauge using γ-rays, the radiation source size D is about 25 to 50 mm, which is fatal in that the range of about 50 mm from the edge used for edge drop control cannot be measured accurately. As described above, it has a drawback.

そこで、本発明においては、図5において、板端からxの範囲のプロフィールを、板端からxより板幅中央側の正確に測定された板厚プロフィールを用いて推定することによって、前記の問題点を解決している。 Therefore, in the present invention, in FIG. 5, by the profile of the range of the plate end of x A, estimated using precisely measured thickness profile of the sheet width center side than x A from plate end, said The problem is solved.

板幅端部の板厚プロフィールの推定方法としては、以下に示す2つの方法が好適である。   As a method for estimating the plate thickness profile at the end of the plate width, the following two methods are suitable.

第1の方法は、板幅端部より内側の測定クラウンを定められた複数の偶数次からなる多次式に当て嵌め、この式を用いて板幅端部の板厚プロフィールを推定する方法である。即ち、コイル毎に板幅端部より内側のクラウン測定値を用いて、次式の係数a,a,・・・,aを決定する The first method is a method of estimating the plate thickness profile of the plate width end using this equation by fitting the measurement crown inside the plate width end to a plurality of even-ordered multi-order equations. is there. That is, using the inside of the crown measured values from the sheet width end portion for each coil, to determine the coefficient of the formula a 1, a 2, · · ·, the a n

Cr(x)=am1+am2+・・・+amn …(1) Cr (x) = a 1 X m1 + a 2 X m2 + ··· + a n X mn ... (1)

ここで、図6に示すように、Xは板幅中央からの距離、Crは板幅中央からXの位置のクラウンである。又、m,m,・・・,mは任意の偶数であるが、この組み合わせは板幅端部の板厚プロフィールが推定できるように適切に選択することが重要である。発明者らの検討によれば、2次及び10次以上の項を含む3項以上の多次式が好適であるが、本発明の対象となる冷間圧延の母板は、熱間圧延の操業条件や、中間工程での耳切り処理によって変化するため、適用するラインそれぞれについて予めサンプルを採取し、最適な組み合わせを決定することが望ましい。又、これら係数の決定は、n個の測定点から連立方程式で求めてもよいし、あるいはn+1個以上の測定点から重回帰によって求めてもよい。 Here, as shown in FIG. 6, X is a distance from the center of the plate width, and Cr is a crown at a position X from the center of the plate width. In addition, m 1 , m 2 ,..., Mn are arbitrary even numbers, but it is important to select this combination appropriately so that the plate thickness profile at the plate width end can be estimated. According to the study by the inventors, a multi-order expression of three or more terms including the terms of the second order and the tenth order or more is suitable. Since it changes depending on the operating conditions and the edge cutting process in the intermediate process, it is desirable to collect samples in advance for each line to be applied and determine the optimum combination. Further, these coefficients may be determined by simultaneous equations from n measurement points, or by multiple regression from n + 1 or more measurement points.

次に、第2の方法は、板幅端部より内側の定められた位置におけるクラウンと板幅端部の板厚プロフィールとの関係を予め統計的に求めておき、これを用いて板幅端部より内側の測定クラウンから板幅端部の板厚プロフィールを推定する方法である。即ち、この方法では次式のように正確に測定し得る板幅端部からx,x,・・・,x位置のクラウンCr(x1),Cr(x2),・・・,Cr(xn)から板幅端部領域のクラウンCr(x)を推定する。 Next, in the second method, the relationship between the crown and the plate thickness profile of the plate width end portion at a predetermined position inside the plate width end portion is statistically obtained in advance, and this is used to calculate the plate width end portion. This is a method of estimating the plate thickness profile at the plate width end portion from the measurement crown inside the plate portion. That, x 1 from the plate width end portions which can accurately measured according to the following equation in this way, x 2, ···, x n positions of the crown Cr (x1), Cr (x2 ), ···, Cr The crown Cr (x) in the plate width end region is estimated from (xn) .

Cr(x)=f0(x)+f1(x)Cr(x1)+f2(x)Cr(x2)+・・・+fn(x)Cr(xn)
…(2)
Cr (x) = f 0 (x) + f 1 (x) Cr (x 1 ) + f 2 (x) Cr (x 2) +... + F n (x) Cr ( x n )
... (2)

ここで、f0(x),f1(x),f2(x),・・・,fn(x)はそれぞれの項にかかる係数で、板端からの距離xの関数である。又、推定に用いる測定点x1,x2,・・・,xnは発明者らの検討によれば少なくとも正確に測定できる最も板端に近い点を含み、エッジから100mm程度までの3点以上の点とすることが好適であるが、これらの係数及び測定点に関しても、第1の方法と同様、本発明の対象となる冷間圧延の母板は、熱間圧延の操業条件や、中間工程での耳切り処理によって変化するため、適用するラインそれぞれについて予めサンプルを採取して決定することが望ましい。 Here, f 0 (x) , f 1 (x) , f 2 (x) ,..., F n (x) are coefficients relating to the respective terms and are functions of the distance x from the plate edge. Further, the measurement points x 1 , x 2 ,..., X n used for estimation include at least the points closest to the plate edge that can be measured accurately according to the inventors' investigation, and three points from the edge to about 100 mm. Although it is preferable to make the above points, also regarding these coefficients and measurement points, as in the first method, the cold rolling base plate that is the subject of the present invention is the operating conditions of hot rolling, Since it changes depending on the ear-cut process in the intermediate step, it is desirable to determine by taking a sample in advance for each applied line.

比較例Comparative example

まず、従来の方法として、γ線により板端までの測定を行い、オフラインにおける接触式の板厚計による測定結果(以降、真値と称す)と比較した。図7にその一例を示す。接触式板厚計で測定された板厚プロフィールの真値に対し、γ線板厚計による測定値は、エッジから25mmより板端では急激に小さくなることがわかる。図8(a)〜(f)に100コイルのサンプルについてエッジ25mmから最エッジまでのクラウン真値とγ線板厚計による測定値との比較を、表1に誤差の平均値と標準偏差を示す。   First, as a conventional method, measurement was performed up to the plate edge with γ-rays, and the measurement was made with a contact-type plate thickness meter in an offline state (hereinafter referred to as a true value). An example is shown in FIG. It can be seen that the measured value by the γ-ray thickness gauge is abruptly smaller at the edge of the plate than 25 mm from the edge, compared to the true value of the thickness profile measured by the contact-type thickness gauge. 8A to 8F show a comparison between the true crown value from the edge 25 mm to the outermost edge and the measured value by the γ-ray thickness gauge for the sample of 100 coils. Show.

これからわかるように、エッジ25mmより板端は誤差が大きく、測定値をエッジドロップ制御に用いることは不可能であった。   As can be seen, the plate edge has a larger error than the edge 25 mm, and it was impossible to use the measured value for edge drop control.

前述の第1の方法によりγ線による測定値の誤差が小さいエッジ25mmより板幅中央側の測定結果を用いて、誤差の大きいエッジ25mmより板端側の板厚プロフィールの推測を行った。板端の板厚プロフィールを精度よく推定できる条件を解析した結果、エッジ25〜100mmの測定値を用い、2、12、18、20次の4項からなる多次式に当て嵌めることが好適であった。即ち、各コイルについてエッジ25〜100mmの測定値を用いて次式の係数a〜aを求め、この結果からエッジ25mmより板端側の板厚プロフィールの推定を行った。 Using the first method described above, the plate thickness profile on the plate end side from the edge 25 mm with a large error was estimated using the measurement result on the plate width center side from the edge 25 mm with a small measurement value error due to γ rays. As a result of analyzing the conditions for accurately estimating the plate thickness profile at the plate end, it is preferable to use the measured values of the edges 25 to 100 mm and fit them to a multi-order equation consisting of the 4th order of the 12, 12, 18, and 20th order. there were. That is, for each coil, the coefficients a 1 to a 4 of the following equation were obtained using the measured values of the edges 25 to 100 mm, and the plate thickness profile on the plate end side from the edge 25 mm was estimated from this result.

Cr(x)=a+a12+a18+a20 …(3) Cr (x) = a 1 X 2 + a 2 X 12 + a 3 X 18 + a 4 X 20 ... (3)

図7にその一例を併せて示す。又、図9(a)〜(e)に比較例と同じサンプルについてクラウン真値と本発明による推測値との比較を、表1に誤差の平均値と標準偏差を併せて示す。エッジドロップ制御に使用するに十分な推測精度を有していることがわかる。   An example is shown in FIG. 9A to 9E show a comparison between the true crown value and the estimated value according to the present invention for the same sample as the comparative example, and Table 1 shows the average value and standard deviation of the error together. It can be seen that the estimation accuracy is sufficient for use in edge drop control.

前述の第2の方法によりγ線による測定値の誤差が小さいエッジ25mmより板幅中央側の測定結果を用いて、誤差の大きいエッジ25mmより板端側の板厚プロフィールの推測を行った。この場合には、予めエッジ25mmより板幅中央側の板厚プロフィールとエッジ25mmより板端側の板厚プロフィールとの関係を定式化した。板端の板厚プロフィールを精度よく推定できる条件を解析した結果、エッジ25、30、35及び50mmの4点のクラウン測定値を用いることが好適であった。   The plate thickness profile on the plate end side from the edge 25 mm with a large error was estimated by using the measurement result on the plate width center side with respect to the edge 25 mm with a small error in the measurement value due to the γ rays by the second method described above. In this case, the relationship between the plate thickness profile on the center side of the plate width from the edge 25 mm and the plate thickness profile on the plate end side from the edge 25 mm was formulated in advance. As a result of analyzing the conditions for accurately estimating the plate thickness profile at the plate end, it was preferable to use the crown measurement values at four points of the edges 25, 30, 35 and 50 mm.

Cr(x)=f0(x)+f1(x)Cr(25)+f2(x)Cr(30)+f3(x)Cr(35)+f4(x)Cr(50)
…(4)
Cr (x) = f 0 (x) + f 1 (x) Cr (25) + f 2 (x) Cr (30) + f 3 (x) Cr (35) + f 4 (x) Cr (50)
... (4)

即ち、(4)式のように表現された板端のクラウンに対して、f0〜f4は図10に示すように求められた。これらの定数又は係数は、次式のような2次式でよく表現できた。 That is, f 0 to f 4 were obtained as shown in FIG. 10 with respect to the crown of the plate end expressed as in equation (4). These constants or coefficients could be well expressed by a quadratic expression such as

i(x)=a+bx+c …(5) f i (x) = a i x 2 + b i x + c i (5)

表2に定数及び係数を示す。   Table 2 shows constants and coefficients.

各コイルについてエッジ25、30、35及び50mmのγ線による測定値を(4)式に代入し、エッジ25mmより板端側の板厚プロフィールの推定を行った。図7にその一例を併せて示す。又、図11(a)〜(e)に比較例と同じサンプルについてクラウン真値と本発明による推測値との比較を、表1に誤差の平均値と標準偏差を示す。実施例1と同様、エッジドロップ制御に使用するに十分な推測精度を有していることがわかる。   For each coil, the measured values of the edges 25, 30, 35 and 50 mm with γ rays were substituted into the equation (4), and the plate thickness profile on the plate end side from the edge 25 mm was estimated. An example is shown in FIG. 11A to 11E show a comparison between the crown true value and the estimated value according to the present invention for the same sample as the comparative example, and Table 1 shows an average value and standard deviation of errors. As in the first embodiment, it can be seen that the estimation accuracy is sufficient for use in edge drop control.

以上のように、本発明により安価なγ線板厚計を用いても板端部のエッジドロップを高精度に検出でき、高度なエッジドロップ制御を行うことが可能となることがわかる。   As described above, according to the present invention, it is understood that edge drop at the edge of the plate can be detected with high accuracy even if an inexpensive γ-ray thickness gauge is used, and advanced edge drop control can be performed.

なお、固定型板厚測定器の数は1台に限定されず2台以上あっても良く、走査型板厚測定器の数も1台乃至2台に限定されず3台以上あっても良い。   The number of fixed plate thickness measuring instruments is not limited to one, but may be two or more, and the number of scanning plate thickness measuring instruments is not limited to one or two, but may be three or more. .

走査型の板厚計を用いた板厚プロフィールの測定方法を示す模式図Schematic diagram showing how to measure the thickness profile using a scanning thickness gauge マルチチャンネル型の板厚計を用いた板厚プロフィールの測定方法を示す模式図Schematic diagram showing how to measure the thickness profile using a multi-channel thickness gauge 本発明を実施するに好適な構成例を示す模式図Schematic diagram showing a preferred configuration example for carrying out the present invention 走査型測定器と鋼板の板幅方向との位置関係を示す模式図Schematic diagram showing the positional relationship between the scanning measuring instrument and the sheet width direction of the steel sheet 板厚プロフィールの測定精度を示した概念図Conceptual diagram showing measurement accuracy of thickness profile クラウンの定義を示す説明図Explanatory drawing showing the definition of crown 比較例及び実施例における板厚プロフィールの測定値の比較図Comparison diagram of measured values of plate thickness profiles in comparative examples and examples 比較例のクラウン真値と測定値との関係図Relationship diagram between crown true value and measured value of comparative example 実施例1のクラウン真値と測定値との関係図Relationship diagram between true crown value and measured value of Example 1 実施例2における定数および係数の幅方向位置との関係図Relationship diagram between constants and coefficients in the width direction in Example 2 実施例1のクラウン真値と測定値との関係図Relationship diagram between true crown value and measured value of Example 1

符号の説明Explanation of symbols

1…ストリップ(鋼板)
2…固定型板厚測定器
3、3a、3b…走査型板厚測定器
4…放射線発生器
5…マルチチャンネル放射線検出器
6…圧延機
7…ワークロール
8…散乱放射線
1 ... Strip (steel plate)
2 ... Fixed plate thickness measuring device 3, 3a, 3b ... Scanning plate thickness measuring device 4 ... Radiation generator 5 ... Multichannel radiation detector 6 ... Rolling mill 7 ... Work roll 8 ... Scattered radiation

Claims (6)

γ線源を用いた固定型及び走査型の板厚測定器を冷間圧延機列の入側に配置し、固定型板厚測定器はストリップ中央部の厚さを測定し、一方、走査型板厚測定器はストリップの板幅方向に機械的に走査することによって測定される幅方向の板厚プロフィールを用いてワークロールのシフト位置を変更するエッジドロップのフィードフォワード制御を行うに際し、
γ線厚さ計の精度が保証されない板幅端部の板厚プロフィールに、板幅端部より内側のγ線厚さ計測定値を用いて推定した板厚プロフィールを使用することを特徴とする冷間圧延におけるエッジドロップの検出方法。
Fixed type and scanning type thickness measuring instruments using γ-ray sources are arranged on the inlet side of the cold rolling mill row, and the fixed type thickness measuring instrument measures the thickness at the center of the strip, while the scanning type When performing a feedforward control of the edge drop that changes the shift position of the work roll using the thickness profile in the width direction measured by mechanically scanning the strip thickness direction in the strip width direction,
A sheet thickness profile estimated by using a gamma ray thickness meter measurement value inside the sheet width end is used as the sheet thickness profile at the sheet width end where the accuracy of the γ-ray thickness meter is not guaranteed. Edge drop detection method in hot rolling.
板幅端部より内側の測定クラウンを定められた複数の偶数次からなる多次式に当て嵌め、この式を用いて板幅端部の板厚プロフィールを推定することを特徴とする請求項1記載の冷間圧延におけるエッジドロップの検出方法。   The measurement crown inside the plate width end portion is fitted to a predetermined multi-order equation composed of a plurality of even orders, and the plate thickness profile of the plate width end portion is estimated using this equation. An edge drop detection method in cold rolling as described. 板幅端部より内側の定められた位置におけるクラウンと板幅端部の板厚プロフィールとの関係を予め統計的に求めておき、これを用いて板幅端部より内側の測定クラウンから板幅端部の板厚プロフィールを推定することを特徴とする請求項1記載の冷間圧延におけるエッジドロップの検出方法。   The relationship between the crown at a predetermined position inside the plate width end and the plate thickness profile of the plate width end is statistically calculated in advance, and this is used to measure the plate width from the measured crown inside the plate width end. 2. The edge drop detection method in cold rolling according to claim 1, wherein a thickness profile of the end portion is estimated. 請求項1乃至3のいずれかに記載の方法で検出したエッジドロップを用いて、フィードフォワード制御を行なうことを特徴とする冷間圧延におけるエッジドロップの制御方法。   An edge drop control method in cold rolling, wherein feedforward control is performed using the edge drop detected by the method according to claim 1. 冷間圧延機列の入側に配置された、ストリップ中央部の厚さを測定するための、γ線源を用いた固定型板厚測定器、及び、ストリップの板幅方向に機械的に走査され、ストリップ幅方向の板厚プロフィールを測定するための、γ線源を用いた走査型板厚測定器と、
板幅端部より内側のγ線厚さ計測定値を用いて、γ線厚さ計の精度が保証されない板幅端部の板厚プロフィールを推定する手段と、
を備えたことを特徴とする冷間圧延におけるエッジドロップの検出装置。
A fixed plate thickness measuring instrument using a γ-ray source for measuring the thickness of the central part of the strip arranged on the inlet side of the cold rolling mill row and mechanically scanning in the strip width direction. A scanning plate thickness measuring device using a gamma ray source for measuring a plate thickness profile in the strip width direction;
Means for estimating the plate thickness profile of the plate width end where the accuracy of the γ ray thickness meter is not guaranteed, using the measured value of the γ ray thickness meter inside the plate width end;
An apparatus for detecting an edge drop in cold rolling, comprising:
請求項5に記載の検出装置を含むことを特徴とする冷間圧延におけるエッジドロップの制御装置。   An apparatus for controlling edge drop in cold rolling, comprising the detection apparatus according to claim 5.
JP2006017688A 2006-01-26 2006-01-26 Method and apparatus for detecting and controlling edge drop in cold rolling Expired - Fee Related JP4784320B2 (en)

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CN114505353A (en) * 2022-01-29 2022-05-17 宝钢湛江钢铁有限公司 Same-plate difference roll shifting feedforward static control method

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JP7468466B2 (en) 2021-06-21 2024-04-16 Jfeスチール株式会社 Method for setting rolling conditions for a cold rolling mill, cold rolling method, method for manufacturing a steel sheet, device for setting rolling conditions for a cold rolling mill, and cold rolling mill

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EP2656933B1 (en) 2012-04-25 2016-02-10 Primetals Technologies Japan, Ltd. Rolling mill equipped with work roll shift function
CN114505353A (en) * 2022-01-29 2022-05-17 宝钢湛江钢铁有限公司 Same-plate difference roll shifting feedforward static control method

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