JP2008254060A - Method of deciding rolling order in hot rolling and method of manufacturing hot-rolled steel sheet - Google Patents

Method of deciding rolling order in hot rolling and method of manufacturing hot-rolled steel sheet Download PDF

Info

Publication number
JP2008254060A
JP2008254060A JP2007101750A JP2007101750A JP2008254060A JP 2008254060 A JP2008254060 A JP 2008254060A JP 2007101750 A JP2007101750 A JP 2007101750A JP 2007101750 A JP2007101750 A JP 2007101750A JP 2008254060 A JP2008254060 A JP 2008254060A
Authority
JP
Japan
Prior art keywords
rolling
heating furnace
evaluation function
rolled
rolling order
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.)
Granted
Application number
JP2007101750A
Other languages
Japanese (ja)
Other versions
JP5007597B2 (en
Inventor
Yoshiro Washikita
芳郎 鷲北
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Nippon Steel Corp
Original Assignee
Sumitomo Metal Industries Ltd
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 by Sumitomo Metal Industries Ltd filed Critical Sumitomo Metal Industries Ltd
Priority to JP2007101750A priority Critical patent/JP5007597B2/en
Publication of JP2008254060A publication Critical patent/JP2008254060A/en
Application granted granted Critical
Publication of JP5007597B2 publication Critical patent/JP5007597B2/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Landscapes

  • Control Of Metal Rolling (AREA)

Abstract

<P>PROBLEM TO BE SOLVED: To provide a method of deciding a rolling order in hot rolling by which a fuel cost for heating is reduced by controlling the heating of a rolled stock in a heating furnace by correctly predicting the amount of over-heating of the rolled stock in the heating furnace without using a complicated method, and a method of manufacturing the steel sheet by using the method. <P>SOLUTION: This method for deciding the rolling order of a plurality of rolled stocks which are rolled with a rolling mill after being heated in the heating furnace and the rolling order of the rolled stock includes: predicting discharging temperature from the heating furnace for each of the respective rolled stocks before the plurality of rolled stocks are charged into the heating furnace; calculating the amount of over-heating which is a difference between the predicted discharging temperature from the heating furnace and the target discharging temperature from the heating furnace; and calculating the evaluation function value of from the evaluation function containing the sum total of the amount of the over-heating of the plurality of the rolled stocks in at least one term, so that the evaluation function value of a becomes minimum. <P>COPYRIGHT: (C)2009,JPO&INPIT

Description

本発明は、複数の圧延材を加熱炉にて加熱した後に圧延機で圧延する熱間圧延の圧延順序を決定する方法、これにより熱延鋼板を製造する方法に関する。   The present invention relates to a method for determining a rolling order of hot rolling in which a plurality of rolled materials are heated in a heating furnace and then rolled with a rolling mill, and thereby a method for producing a hot-rolled steel sheet.

熱間圧延では、圧延機で圧延材(スラブ)を圧延する前に加熱炉によって圧延材を加熱する。この加熱炉において圧延材をどの程度まで加熱するかは、圧延安定性の観点、及び所望の機械特性を得るという観点から、目標加熱炉抽出温度(加熱炉出口における圧延材の目標温度。以下同じ。)が圧延材毎に定められる。しかし、加熱炉は1つ1つの圧延材を個別に加熱するものではなく、複数の圧延材が装入されるので個々の圧延材を別個独立して目標加熱炉抽出温度に加熱することはできない。加熱炉抽出温度が目標よりも高くなれば圧延をする前に空冷や水冷により温度を調整することができるが、目標より低くなると温度を上げるのは困難であり、そのまま圧延すると圧延トラブルを生じたり、所望の機械特性が得られなくなったりするので回避しなければならない。従って通常は、加熱炉に装入された圧延材のいずれも目標加熱炉抽出温度未満にならないように炉温を設定する。しかし目標加熱炉抽出温度の低い圧延材が目標温度の高い圧延材に挟まれて加熱炉に装入されたような場合には、目標加熱炉抽出温度の低い圧延材であっても高い温度に加熱されて過加熱となり、燃料費が悪化してしまうことがあった。   In hot rolling, a rolled material is heated by a heating furnace before rolling the rolled material (slab) with a rolling mill. The degree to which the rolled material is heated in this heating furnace is determined from the viewpoint of rolling stability and obtaining desired mechanical properties, from the target heating furnace extraction temperature (the target temperature of the rolled material at the outlet of the heating furnace. The same applies hereinafter. .) Is determined for each rolled material. However, the heating furnace does not individually heat each rolled material, and since a plurality of rolled materials are charged, it is not possible to individually heat each rolled material to the target heating furnace extraction temperature. . If the heating furnace extraction temperature is higher than the target, the temperature can be adjusted by air cooling or water cooling before rolling, but if the temperature is lower than the target, it is difficult to raise the temperature, and rolling may cause rolling trouble if it is rolled as it is. The desired mechanical properties cannot be obtained and must be avoided. Therefore, normally, the furnace temperature is set so that none of the rolled material charged in the heating furnace is less than the target heating furnace extraction temperature. However, when a rolled material with a low target heating furnace extraction temperature is sandwiched between rolled materials with a high target temperature and inserted into the heating furnace, even a rolled material with a low target heating furnace extraction temperature is set to a high temperature. When heated, the fuel was overheated, and the fuel cost sometimes deteriorated.

これを避けるために、特許文献1には圧延スケジュール決定に関する技術が開示されている。これによれば目標加熱炉抽出温度が装入順(すなわち同一加熱炉に装入される圧延材での圧延順)でみたときに滑らかに揃うように圧延順を決定することにより上記問題を解決するというものである。また、特許文献2には、加熱炉燃料流量が少なくて済むように装入炉を決定することが開示されている。
特開昭63−53215号公報 特開平6−304619号公報
In order to avoid this, Patent Document 1 discloses a technique relating to rolling schedule determination. According to this, the above-mentioned problem is solved by determining the rolling order so that the target heating furnace extraction temperature is smoothly aligned when viewed in the charging order (that is, the rolling order in the rolling material charged in the same heating furnace). It is to do. Patent Document 2 discloses that the charging furnace is determined so that the heating furnace fuel flow rate is small.
JP-A-63-53215 JP-A-6-304619

しかし、特許文献1に記載の圧延スケジュール決定に関する技術では、滑らかさをどのようにはかればよいかについては明確にされていない。最も滑らかと考えられるのは、同一加熱炉に装入される目標加熱炉抽出温度が圧延順でみて単調に変化するように圧延材を並べることである。しかし、同じ圧延チャンス(圧延を続けることによる圧延工具の表面荒れによって不良品が生じないように圧延工具替えをおこなうタイミングを決めることに相当し、次の圧延工具替えまでを1つの圧延チャンスと呼ぶ。以下同様。)内では、幅の広い圧延材から幅の狭い圧延材へ向かうように圧延すべきといった圧延上の制約が他にもあり、単に目標加熱炉抽出温度の観点から単調に圧延材を並べるのは現実操業上不可能である。すなわち、圧延順を決定する際に、板幅や、板厚を考慮すべきときにこれを無視して目標加熱炉抽出温度のみの観点から圧延材を単調に並べると、圧延の際、ロールへの入り込み不良や巻き取り不良等の種々のトラブルが生じるため、現実的にはそのように温度だけの観点から滑らかに並べて圧延を行うことはできない。   However, the technique relating to the rolling schedule determination described in Patent Literature 1 does not clarify how smoothness should be achieved. It is considered that the rolling materials are arranged so that the target heating furnace extraction temperature charged in the same heating furnace changes monotonously in the rolling order. However, the same rolling chance (corresponding to determining the timing for changing the rolling tool so that defective products do not occur due to the rough surface of the rolling tool by continuing rolling, and until the next rolling tool change is called one rolling opportunity. The same applies hereinafter.) In addition, there are other rolling restrictions such as rolling from a wide rolled material to a narrow rolled material, and the rolled material is simply monotonous from the viewpoint of the target heating furnace extraction temperature. It is impossible in actual operation to line up. In other words, when determining the rolling order, if the sheet width and thickness should be taken into consideration and neglecting this, the rolled material is monotonically arranged from the viewpoint of only the target heating furnace extraction temperature. Since various troubles such as poor penetration and poor winding occur, it is practically impossible to perform rolling in such a smooth arrangement from the viewpoint of temperature alone.

特許文献2に記載の圧延順決定手法では、まず、圧延のし易さの観点から、圧延制約行列を満たし、圧延評価値が小さくなるように圧延順を決定する。そして次に、加熱炉燃料流量が少なくて済むように装入炉を決定するものである。つまり、圧延のし易さから第一段階で決められた圧延順を守ることが前提で装入炉を選択するため、燃料流量の低減効果は小さかった。   In the rolling order determination method described in Patent Document 2, first, from the viewpoint of ease of rolling, the rolling order is determined so as to satisfy the rolling constraint matrix and reduce the rolling evaluation value. Then, the charging furnace is determined so that the heating furnace fuel flow rate is small. That is, since the charging furnace is selected on the premise that the rolling order determined in the first stage is maintained from the ease of rolling, the effect of reducing the fuel flow rate is small.

また、圧延材の圧延順を決定するに際し、加熱炉抽出温度を予測することができれば圧延順を決定するための1つのパラメータを得ることができる。しかし圧延順を決定するという限られた時間内で無数にある圧延順の組み合わせで精度よく最も良い順を見つける手段はこれまでなかった。最適の加熱炉抽出温度を見つけるために例えば各圧延順の組み合わせについて伝熱方程式を解くことは、そのために必要な資源や時間等の制約があり、非現実的であった。   Further, when determining the rolling order of the rolled material, one parameter for determining the rolling order can be obtained if the heating furnace extraction temperature can be predicted. However, until now, there has been no means for accurately finding the best order by combining a myriad of rolling orders within a limited time of determining the rolling order. In order to find the optimum furnace extraction temperature, for example, solving the heat transfer equation for each combination of rolling orders is unrealistic due to the limitations of resources and time required for that purpose.

そこで本発明は圧延材の加熱炉における過加熱量を複雑な方法を用いることなく正確に予測することによって加熱炉における圧延材の加熱を制御し、加熱燃料費を低減できる熱間圧延の圧延順決定方法、該方法による熱延鋼板の製造方法、及びその装置を提供することを課題とする。   Therefore, the present invention controls the heating of the rolling material in the heating furnace by accurately predicting the overheating amount of the rolling material in the heating furnace without using a complicated method, and can reduce the heating fuel cost in the rolling order. It is an object of the present invention to provide a determination method, a method for producing a hot-rolled steel sheet by the method, and an apparatus therefor.

発明者らは鋭意検討の結果、圧延材が加熱炉に装入される前に加熱炉からの抽出温度を予測し、当該予測された加熱炉抽出温度と目標とする加熱炉抽出温度との差である過加熱量を求めてこれに基づく評価関数を導入することにより加熱に要するエネルギーを抑制することができる知見を得た。発明者らはこれら知見を発展させて本発明を完成させた。以下、本発明について説明する。   As a result of intensive studies, the inventors predicted the extraction temperature from the heating furnace before the rolled material is charged into the heating furnace, and the difference between the predicted heating furnace extraction temperature and the target heating furnace extraction temperature. It was found that the energy required for heating can be suppressed by obtaining an overheating amount and introducing an evaluation function based thereon. The inventors have developed these findings and completed the present invention. The present invention will be described below.

請求項1に記載の発明は、加熱炉にて加熱した後に圧延機で圧延される複数の圧延材の圧延順を決定する方法であって、複数の圧延材が加熱炉に装入される前に該圧延材のそれぞれについて加熱炉抽出温度を予測し、予測された加熱炉抽出温度と圧延材の目標加熱炉抽出温度との差である過加熱量を計算するとともに、複数の圧延材の過加熱量の総和を少なくとも1つの項に含む評価関数から評価関数値を計算し、該評価関数値が最小となるように圧延材の圧延順を決定することを特徴とする熱間圧延の圧延順決定方法を提供することにより前記課題を解決する。   The invention according to claim 1 is a method for determining a rolling order of a plurality of rolled materials that are rolled in a rolling mill after being heated in a heating furnace, and before the plurality of rolled materials are charged into the heating furnace. Predict the heating furnace extraction temperature for each of the rolled materials, calculate an overheating amount that is the difference between the predicted heating furnace extraction temperature and the target heating furnace extraction temperature of the rolled material, An evaluation function value is calculated from an evaluation function including the sum of heating amounts in at least one term, and the rolling order of the rolled material is determined so that the evaluation function value is minimized. The problem is solved by providing a determination method.

ここで「最小」とは、真に最小であることの他、真の最小値を求めることが時間的な制約等により不可能である場合に、例えば発見的手法であるヒューリスティック探索等の方法により求めた準最小も含むものとする。以下同様である。   Here, the term “minimum” refers to a method such as heuristic search, which is a heuristic method, for example, when it is impossible to obtain a true minimum value due to time constraints, in addition to being truly minimum. It shall include the calculated subminimum. The same applies hereinafter.

請求項2に記載の発明は、鋳造工程から直送される圧延材である複数の直送材と、該直送材以外の圧延材である複数の非直送材とを混合して圧延するときに、直送材のみを加熱する加熱炉、及び非直送材のみを加熱する加熱炉を有し、直送材及び非直送材の圧延順を決定する方法であって、直送材は、鋳造工程から加熱炉への必要搬送時間に該加熱炉における必要加熱時間を加えた合計時間を算出し、該合計時間後の最も早く圧延できる圧延順となるように割り当てられ、非直送材は、複数の非直送材が加熱炉に装入される前に該非直送材のそれぞれについて加熱炉抽出温度を予測し、予測された加熱炉抽出温度と非直送材の目標加熱炉抽出温度との差である過加熱量を計算するとともに、複数の非直送材の過加熱量の総和を少なくとも1つの項に含む評価関数から評価関数値を計算し、該評価関数値が最小となるように非直送材の圧延順を決定することを特徴とする熱間圧延の圧延順決定方法を提供することにより前記課題を解決する。   In the invention according to claim 2, when a plurality of direct feed materials that are rolled materials directly fed from a casting process and a plurality of non-direct feed materials that are rolled materials other than the direct feed materials are mixed and rolled, A heating furnace that heats only the material, and a heating furnace that heats only the non-direct feed material, and determines the rolling order of the direct feed material and the non-direct feed material, the direct feed material from the casting process to the heating furnace Calculate the total time by adding the required heating time in the heating furnace to the required transport time, and assign it to be in the rolling order that can be rolled earliest after the total time. Non-direct feed materials are heated by multiple non-direct feed materials. Predict the heating furnace extraction temperature for each of the non-direct feed materials before charging into the furnace, and calculate the amount of overheating that is the difference between the predicted heating furnace extraction temperature and the target heating furnace extraction temperature of the non-direct feed material In addition, at least one sum of the amount of overheating of a plurality of non-direct feed materials By calculating the evaluation function value from the evaluation function included in the term, and determining the rolling order of the non-direct feed material so as to minimize the evaluation function value, by providing a rolling order determination method for hot rolling The problem is solved.

ここで、「必要搬送時間」とは、鋳造工程を終了してから加熱炉へ装入するまでに必要な最短時間を意味し、「必要加熱時間」とは、加熱炉に装入されてから,目標加熱炉抽出温度に加熱するまでに必要な最短時間を意味する。   Here, “required transport time” means the shortest time required from the end of the casting process to charging into the heating furnace, and “required heating time” refers to after being charged into the heating furnace. , Means the shortest time required to heat to the target furnace extraction temperature.

請求項3に記載の発明は、請求項1又は2に記載の熱間圧延の圧延順決定方法の予測される加熱炉抽出温度を、圧延順と目標加熱炉抽出温度のみから算出することが可能な式で表すとともに、一の圧延順を与えて一の評価関数値を計算した後、一の圧延順とは異なる他の圧延順を与えて他の評価関数値を計算し、一の評価関数値が他の評価関数値以下のときには一の評価関数値はそのまま維持され、他の評価関数値が一の評価関数値よりも小さいときには該一の評価関数値は他の評価関数値となるよう置換される過程を繰り返すことにより評価関数値を最小にすることを特徴とする熱間圧延の圧延順決定方法を提供することにより前記課題を解決する。   The invention according to claim 3 can calculate the predicted heating furnace extraction temperature of the hot rolling rolling order determination method according to claim 1 or 2 from only the rolling order and the target heating furnace extraction temperature. After calculating one evaluation function value by giving one rolling order, another evaluation function value is calculated by giving another rolling order different from one rolling order, and one evaluation function When the value is less than or equal to another evaluation function value, the one evaluation function value is maintained as it is, and when the other evaluation function value is smaller than one evaluation function value, the one evaluation function value becomes another evaluation function value. The problem is solved by providing a method for determining the rolling order of hot rolling, wherein the evaluation function value is minimized by repeating the replacement process.

請求項4に記載の発明は、請求項1〜3のいずれか一項に記載の熱間圧延の圧延順決定方法により得られた圧延順に圧延をおこなうことを特徴とする熱延鋼板の製造方法により前記課題を解決する。   Invention of Claim 4 performs the rolling order obtained by the rolling order determination method of the hot rolling as described in any one of Claims 1-3, The manufacturing method of the hot-rolled steel plate characterized by the above-mentioned The above-described problem is solved.

請求項5に記載の発明は、請求項1〜3のいずれか一項に記載の熱間圧延の圧延順決定方法により圧延順を算出する手段を備えることを特徴とする圧延順決定装置を提供することにより前記課題を解決する。   Invention of Claim 5 provides the rolling order determination apparatus characterized by including the means to calculate a rolling order by the rolling order determination method of the hot rolling as described in any one of Claims 1-3. This solves the problem.

請求項6に記載の発明は、加熱炉と、圧延機とを有する熱延鋼板の製造装置であって、請求項5に記載の圧延順決定装置を備えることを特徴とする熱延鋼板の製造装置を提供することにより前記課題を解決する。   Invention of Claim 6 is a manufacturing apparatus of the hot-rolled steel plate which has a heating furnace and a rolling mill, Comprising: The manufacturing order of the hot-rolled steel plate provided with the rolling order determination apparatus of Claim 5 characterized by the above-mentioned. The problem is solved by providing an apparatus.

本発明の熱間圧延の圧延順決定方法、及び熱延鋼板の製造方法によれば、圧延材の加熱炉における過加熱量を正確に予測することができるとともに、これによって加熱炉における圧延材の加熱を制御し、加熱燃料費を低減することが可能となる。   According to the method for determining the rolling order of hot rolling and the method for manufacturing a hot-rolled steel sheet according to the present invention, it is possible to accurately predict the amount of overheating in the heating furnace of the rolled material, and thereby the rolling material in the heating furnace. It is possible to control the heating and reduce the heating fuel cost.

また、予測加熱炉抽出温度の温度予測が、圧延順及び目標とされる加熱炉抽出温度のみから算出されることにより、これまで時間的、資源的制約等によりできなかった温度予測が複雑な方法によらなくてもできるようになる。   Moreover, the temperature prediction of the predicted heating furnace extraction temperature is calculated from only the rolling order and the target heating furnace extraction temperature, so that the temperature prediction that has not been possible due to time and resource constraints has been complicated. You can do it without having to.

また、このような圧延順決定方法を実行することができる手段を備える圧延順決定装置、及び該圧延順決定装置を有する熱延鋼板の製造装置により、算出された圧延順により実際に圧延をおこなうことができる。   In addition, the rolling order determining apparatus having means capable of executing such a rolling order determining method, and the hot rolled steel sheet manufacturing apparatus having the rolling order determining apparatus, perform actual rolling in the calculated rolling order. be able to.

本発明のこのような作用及び利得は、次に説明する発明を実施するための最良の形態から明らかにされる。   Such an operation and gain of the present invention will be made clear from the best mode for carrying out the invention described below.

図1は、1つの実施形態に係る本発明の圧延順決定方法S0の流れを示す図である。圧延順決定方法S0は、所定の加熱炉に装入される圧延材の圧延順を決定する方法である。ここで、本発明の圧延順決定方法S0では評価関数値Jを導入する。そして当該評価関数値Jが最小の値をとる条件を得てこれにより圧延順が決定される。従って、始めに評価関数値Jについて説明し、その後、圧延順決定方法S0について説明する。   FIG. 1 is a diagram showing a flow of a rolling order determination method S0 of the present invention according to one embodiment. The rolling order determination method S0 is a method for determining the rolling order of the rolled material charged in a predetermined heating furnace. Here, the evaluation function value J is introduced in the rolling order determination method S0 of the present invention. And the condition where the said evaluation function value J takes the minimum value is obtained, and a rolling order is determined by this. Therefore, the evaluation function value J will be described first, and then the rolling order determination method S0 will be described.

1つの例に係る評価関数値Jは、   The evaluation function value J according to one example is

Figure 2008254060

で表され、3つの項の和で構成されている。ここでJは過加熱量総和の評価項、Jは仕上げ板幅の評価関数項、及びJは仕上げ板厚の評価関数項である。以下それぞれについて説明する。
<過加熱量総和の評価項J
過加熱量総和の評価項Jは、全ての圧延材の過加熱量(予測加熱炉抽出温度と、その圧延材の目標加熱炉抽出温度との差)の和である。従って、過加熱量総和の評価項Jは、
Figure 2008254060

It is composed of the sum of three terms. Here J t is overheating amount sum of evaluating terms, J w evaluation function term of finishing strip width, and J h is the evaluation function section of the finished plate thickness. Each will be described below.
<Evaluation term J t of total overheating amount>
Evaluating terms J t of overheating amount sum is the sum of the overheating of all the rolled material (the difference between the predicted heating furnace extraction temperature, the target heating furnace extraction temperature of the rolled material). Therefore, the evaluation term J t of the total amount of overheating is

Figure 2008254060

で表される。ここで、Tは第j圧延材における予測抽出温度、Taim,jは目標抽出温度である。従ってこの2つの温度の差が過加熱量である。またαは重み係数であり、当該圧延に関して、この項をJの値に対してどの程度影響させるかを示すものである。そしてこれは圧延の目的、効率等の観点から、熱延鋼板の製造の事情に応じて都度設定される。
Figure 2008254060

It is represented by Here, T j is the predicted extraction temperature in the j-th rolled material, and T aim, j is the target extraction temperature. Therefore, the difference between the two temperatures is the amount of overheating. In addition, α t is a weighting factor and indicates how much this term affects the value of J with respect to the rolling. And this is set each time according to the circumstances of the production of the hot-rolled steel sheet from the viewpoint of rolling purpose, efficiency and the like.

上記のように過加熱量総和の評価項Jには、第j圧延材における予測抽出温度Tが含まれている。そこで、次に当該予測抽出温度Tの予測方法を説明する。図2に説明に用いる図を示した。ここでは、同一炉帯に7つの圧延材が存する場面において第i圧延材の予測抽出温度Tを求めることについて説明する。ここで「同一炉帯」とは、加熱炉内の一領域で、当該炉帯内ではいずれの位置も同じ温度条件となり、位置による個別の温度設定ができない領域をいう。図2(a)は、第i圧延材が破線で囲まれた炉帯に装入されたとき((1))から、炉帯内を進行し((2)〜(7))、炉帯から出るとき((8))までの様子を模式的に示したものである。図2(b)は、第i圧延材が炉帯に装入されたときから抽出されるときまでの炉帯内の設定温度を示したもので、横軸が時間、縦軸が温度である。図2(a)、及び図2(b)からわかるように、第i圧延材が炉帯に装入されたときにはその前に第i−6〜第i−1圧延材の6つの圧延材が同一炉帯内にある(図2(a)(1))。そしてこのときの炉帯の設定温度は、図2(b)からわかるように第i−6圧延材が所定の抽出温度で抽出されるための温度であるθi−6とされている。そしてこの温度は第i−6圧延材が抽出されるまでの時間であるΔti−6の間維持されている。第i圧延材が炉帯内を進行するにつれ、第i−5圧延材〜第i圧延材までにおいて同様に温度θi−5〜θが設定され、それぞれΔti−5〜Δtの時間維持される。 As described above, the evaluation term J t of the total amount of overheating includes the predicted extraction temperature T j in the j-th rolled material. Then, the prediction method of the said prediction extraction temperature Tj is demonstrated next. The figure used for description is shown in FIG. Will be described here to determine the predicted extraction temperature T i of the i rolled material in the context of the seven of the rolled material in the same furnace zone resides. Here, the “same furnace zone” refers to an area in the heating furnace, in which any position in the furnace zone has the same temperature condition, and individual temperature setting by position is not possible. FIG. 2 (a) shows that when the i-th rolled material is charged into the furnace zone surrounded by a broken line ((1)), the furnace zone is advanced ((2) to (7)). The situation up to the time of leaving ((8)) is schematically shown. FIG. 2 (b) shows the set temperature in the furnace zone from when the i-th rolled material is charged to the furnace zone until it is extracted, with the horizontal axis representing time and the vertical axis representing temperature. . As can be seen from FIGS. 2 (a) and 2 (b), when the i-th rolled material is charged into the furnace zone, there are six rolled materials i-6 to i-1 rolled material before that. It is in the same furnace zone (Fig. 2 (a) (1)). The set temperature of the furnace zone at this time is θ i-6 , which is a temperature for extracting the i-6th rolled material at a predetermined extraction temperature, as can be seen from FIG. This temperature is maintained for Δt i-6 , which is the time until the i-6th rolled material is extracted. As the i-th rolled material travels through the furnace zone, the i-5 likewise temperature in until the strip, second i rolled theta i-5 through? I is set, the time Δt i-5 ~Δt i respectively Maintained.

次に、時間と温度との積により表される値を導入して、図2(b)で斜線とした部分を表すと式3のようになる。   Next, a value represented by the product of time and temperature is introduced, and the hatched portion in FIG.

Figure 2008254060

一方、予測抽出温度Tは、図2(b)に示した温度履歴を経て得られる温度であるから、予測抽出温度Tと第i圧延材が炉帯内に存する時間との積は、式3と釣り合うはずである。従って、予測抽出温度Tを用いて式4を得て、ここから式5を導くことができる。
Figure 2008254060

On the other hand, since the predicted extraction temperature T i is a temperature obtained through the temperature history shown in FIG. 2B, the product of the predicted extraction temperature T i and the time that the i-th rolled material exists in the furnace zone is Should be balanced with Equation 3. Therefore, Equation 4 can be obtained using the predicted extraction temperature T i , and Equation 5 can be derived therefrom.

Figure 2008254060
Figure 2008254060

Figure 2008254060
Figure 2008254060

このように予測抽出温度Tを得ることができる。しかし、当該予測抽出温度Tは、少なくとも第i圧延材の目標抽出温度Taim,i以上である必要がある。そこで、これを考慮した設定温度θについて条件を設定する。詳しくは次の通りである。図3には、図2(a)(4)の状態における図2(b)に相当する図を示した。すなわち図3に実線Nで示した部分より前に、第i圧延材はすでに斜線で示したように加熱され、その後は未定である。この場合のθi-3の設定方法について詳述する。図3について、まず第i圧延材に着目すると、TをTaim,iとして上記式4に相当する式6を得ることができる。 Thus it is possible to obtain the predicted extraction temperature T i. However, the predicted extraction temperature T i needs to be at least the target extraction temperature T aim, i of the i-th rolled material. Therefore, a condition is set for the set temperature θ j considering this. Details are as follows. FIG. 3 shows a view corresponding to FIG. 2B in the state of FIGS. That is, before the portion indicated by the solid line N in FIG. 3, the i-th rolled material has already been heated as indicated by the oblique lines, and thereafter is not determined. A method of setting θ i-3 in this case will be described in detail. With regard to FIG. 3, focusing on the i-th rolled material, Equation 6 corresponding to Equation 4 above can be obtained with T i being T aim, i .

Figure 2008254060

式6において、右辺第2項がこれから加熱される部分を表しているので、式6を変形して式7を得る。
Figure 2008254060

In Expression 6, since the second term on the right side represents a portion to be heated from now on, Expression 6 is modified to obtain Expression 7.

Figure 2008254060

ここで、図3にNで示した時点以降の設定温度を第i圧延材が抽出されるまで一定であると仮定しこれをζとすると、式7から式8、及び式9を得ることができる。
Figure 2008254060

Here, assuming that the set temperature after the time indicated by N in FIG. 3 is constant until the i-th rolled material is extracted and this is set as ζ i , Equations 7 to 8 and 9 are obtained. Can do.

Figure 2008254060
Figure 2008254060

Figure 2008254060
Figure 2008254060

図2(a)(4)の状態で、同一炉帯内にある圧延材(先行する圧延材:i−3〜i−1、後続の圧延材:i+1〜i+3)についても、同様にして、抽出温度が目標抽出温度以上になるための条件が得られるので、これらをまとめて表記する式10を得る。   In the state of FIGS. 2 (a) and (4), the same applies to the rolled material (preceding rolled material: i-3 to i-1 and subsequent rolled material: i + 1 to i + 3) in the same furnace zone. Since a condition for the extraction temperature to be equal to or higher than the target extraction temperature is obtained, Equation 10 is obtained that collectively represents these conditions.

Figure 2008254060

ここで、「k=i−3〜i+3」である。
Figure 2008254060

Here, “k = i−3 to i + 3”.

従って、図2(a)(4)の状態で、同一炉帯内にある圧延材(i−3〜i+3)の全ての抽出温度が目標抽出温度以上になるための条件として、式11を得る。   Therefore, in the state of FIGS. 2A and 2, Expression 11 is obtained as a condition for all the extraction temperatures of the rolled material (i−3 to i + 3) in the same furnace zone to be equal to or higher than the target extraction temperature. .

Figure 2008254060

これら式10及び式11を式5に代入することにより、同一炉帯に装入された圧延材の全てが目標抽出温度未満にならないことが考慮された予測抽出温度Tを求めることが可能となる。
Figure 2008254060

By substituting these expressions 10 and Formula 11 to Formula 5, it is possible that all of the rolled material which is charged to the same reactor zone obtain the prediction extraction temperatures T i which may not fall below the target extraction temperature were considered Become.

これにより圧延順と、目標抽出温度のみから予測抽出温度を得ることができる。実際には、比熱や熱伝導率、圧延材の寸法などによっても抽出温度は若干変化するが、本発明が解決しようとする課題である圧延順による影響、すなわち、加熱炉の同炉帯に存在する圧延材の目標抽出温度が異なることにより目標抽出温度よりも抽出温度が高くなる現象は、上記の方法によって完全に予測することができる。また、伝熱方程式を解く計算により予測抽出温度を得る場合に比べて大幅に時間を短縮することが可能であるため、最適解を得るために繰り返し計算が必要なスケジューリング問題の中に組み込むことができる。   Thus, the predicted extraction temperature can be obtained only from the rolling order and the target extraction temperature. In practice, the extraction temperature varies slightly depending on the specific heat, thermal conductivity, dimensions of the rolled material, etc., but the influence of the rolling order, which is the problem to be solved by the present invention, that is, it exists in the same furnace zone of the heating furnace. The phenomenon that the extraction temperature becomes higher than the target extraction temperature due to the difference in the target extraction temperature of the rolled material to be performed can be completely predicted by the above method. In addition, it is possible to significantly reduce the time compared to obtaining the predicted extraction temperature by calculating the heat transfer equation, so it can be incorporated into a scheduling problem that requires repeated calculations to obtain the optimal solution. it can.

<仕上げ板幅の評価関数項J
仕上げ板幅の評価関数項Jは、先後する圧延材間における仕上げ圧延の板幅に関してその変化を評価する関数項で、各圧延材の仕上げ板幅が変数となる。理想は1つの圧延チャンス内で、常に後に圧延する圧延材の板幅がその前に圧延する圧延材の板幅より狭いことである。しかし、他の条件の影響によりこれが必ずしも理想的にはならないので、当該仕上げ板幅評価関数項Jによりそれを評価する。そしてJは式12で表される。
<Evaluation function term J w of finished plate width>
Evaluation function terms J w finishing strip width is a function section for evaluating the change with respect to the plate width of the finishing rolling in the rolling member to the front-rear, finishing strip width of the rolling material is variable. The ideal is that within one rolling opportunity, the sheet width of the rolled material that is always rolled later is narrower than the sheet width of the rolled material that is rolled before that. However, since this is not necessarily ideal due to the influence of other conditions, it is evaluated by the finished plate width evaluation function term Jw . J w is expressed by Equation 12.

Figure 2008254060

ここで、f(W,Wj−1)は第j圧延材における評価関数であり、圧延機の特性、製造ラインの性質等により得られる関数である。またαは重み係数であり、当該圧延に関して、この項をJの値に対してどの程度影響させるかを示すものである。そしてこれは圧延の目的、効率等の観点から、熱延鋼板の製造の事情に応じて都度設定される。
Figure 2008254060

Here, f (W j , W j−1 ) is an evaluation function in the j-th rolled material, and is a function obtained by the characteristics of the rolling mill, the properties of the production line, and the like. Αw is a weighting factor, and indicates how much this term affects the value of J with respect to the rolling. And this is set each time according to the circumstances of the production of the hot-rolled steel sheet from the viewpoint of rolling purpose, efficiency and the like.

具体的にf(W,Wj−1)は、図4に示したような性質を有する関数である。図4では横軸に先後圧延材の仕上げ板幅の差をとり、縦軸はf(W,Wj−1)を表している。このように、関数f(W,Wj−1)は、先後の圧延材の仕上げ板幅差が0のとき最小値をとる。そして、後に圧延する鋼板の板幅の方が先に圧延する鋼板の板幅より大きくなる場合には、その大きくなる度合いに応じてf(W,Wj−1)も大きくなる。一方、後に圧延する鋼板の板幅の方が先に圧延する鋼板の板幅より小さくなる場合には、f(W,Wj−1)は緩やかに大きくなるとともに、所定の値を超えると急激に大きくなる。 Specifically, f (W j , W j−1 ) is a function having properties as shown in FIG. In FIG. 4, the horizontal axis represents the difference in the finished plate width of the pre-rolled material, and the vertical axis represents f (W j , W j−1 ). Thus, the function f (W j , W j−1 ) takes the minimum value when the finished sheet width difference between the preceding and subsequent rolled materials is zero. And when the plate width of the steel plate to be rolled later becomes larger than the plate width of the steel plate to be rolled first, f (W j , W j-1 ) also becomes large according to the degree of increase. On the other hand, when the plate width of the steel plate to be rolled later is smaller than the plate width of the steel plate to be rolled first, f (W j , W j-1 ) increases gradually and exceeds a predetermined value. It grows rapidly.

<仕上げ板厚の評価関数項J
仕上げ板厚の評価関数項Jは、先後圧延材間における仕上げ圧延の板厚に関してその変化を評価する項で、各圧延材の仕上げ板厚が変数となる。理想は1つの圧延チャンス内で、圧延する鋼板の板厚が全て同じであることである。しかし、他の条件の影響によりこれが必ずしも理想的なものにはならないので、当該仕上げ板厚評価関数項Jによりそれを評価し、式13で表される。
<Finished plate thickness evaluation function term Jh >
Evaluation function terms J h finishing thickness is in the section to evaluate the change with respect to the thickness of the finishing rolling between the front-rear rolled material, finish thickness of the rolled material is variable. The ideal is that all the steel plates to be rolled have the same thickness within one rolling opportunity. However, since this is not always ideal due to the influence of other conditions, and evaluated it by the finish thickness evaluation function section J h, the formula 13.

Figure 2008254060

ここで、g(h,hj−1)は第j圧延材の厚みに関する評価関数であり、圧延機の特性、製造ライン性質等により得られる関数である。またαは重み係数であり、当該圧延に関して、この項をJの値に対してどの程度影響させるかを示すものである。そしてこれは圧延の目的、効率等の観点から、熱延鋼板の製造の事情に応じて都度設定される。
Figure 2008254060

Here, g (h j , h j-1 ) is an evaluation function related to the thickness of the j-th rolled material, and is a function obtained from the characteristics of the rolling mill, the production line properties, and the like. Α h is a weighting coefficient, and indicates how much this term affects the value of J with respect to the rolling. And this is set each time according to the circumstances of the production of the hot-rolled steel sheet from the viewpoint of rolling purpose, efficiency and the like.

具体的にg(h,hj−1)は、図5に示したような性質を有する関数である。図5では横軸に先後圧延材の仕上げ板厚の差をとり、縦軸はg(h,hj−1)を表している。このように、関数g(h,hj−1)は、先後の圧延材の仕上げ板厚差が0のとき最小値をとる。そして、後に圧延する鋼板の板厚の方が先に圧延する鋼板の板厚より厚くなる場合には、その大きくなる度合いに応じてg(h,hj−1)も大きくなる。一方、後に圧延する鋼板の板厚の方が先に圧延する鋼板の板厚より薄くなる場合には、g(h,hj−1)はさらに大きな割合で大きくなる。 Specifically, g (h j , h j−1 ) is a function having properties as shown in FIG. In FIG. 5, the horizontal axis represents the difference in the finished sheet thickness of the pre-rolled material, and the vertical axis represents g (h j , h j−1 ). As described above, the function g (h j , h j−1 ) takes the minimum value when the finished sheet thickness difference between the preceding and subsequent rolled materials is zero. And when the plate | board thickness of the steel plate rolled later becomes thicker than the plate | board thickness of the steel plate rolled previously, g ( hj , hj-1 ) will also become large according to the degree to which it becomes large. On the other hand, when the plate thickness of the steel plate to be rolled later becomes thinner than the plate thickness of the steel plate to be rolled first, g (h j , h j-1 ) becomes larger at a larger rate.

以上説明したJ、J、Jを各項とする式1により評価関数値Jを求めることができる。本実施形態では、評価関数値Jを3つの項の和から求めることとしたが、過加熱量総和の評価項Jを含むものであれば他の項が追加されてもよいし、変更されてもよい。どのような項を用いるかについては、圧延の目的、得るべき圧延材の性質(寸法精度や機械的性質)等により選択することができる。 The evaluation function value J can be obtained from Equation 1 where J t , J w , and J h described above are terms. In the present embodiment, the evaluation function value J is obtained from the sum of the three terms, but other terms may be added or modified as long as the evaluation term Jt includes the total overheating amount evaluation term Jt. May be. Which term is used can be selected depending on the purpose of rolling and the properties (dimensional accuracy and mechanical properties) of the rolled material to be obtained.

次に圧延順決定方法S0について図1を参照しつつ説明する。図1に圧延順決定方法S0の流れを示した。圧延順決定方法S0では、1号〜4号の4基の加熱炉に関し、1号及び2号炉は非直送材(鋳造工程からの直送材ではないことを意味する。以下同様。)を加熱し、3号及び4号炉は直送材(鋳造工程からの直送材を意味する。以下同様。)を加熱する実施形態である。かかる実施形態の圧延順決定方法S0は、圧延材情報を入力する工程S1、圧延チャンス数及び各チャンスの圧延材数を決定する工程S2、加熱炉抽出時間を計算する工程S3、直送材の圧延順と装入加熱炉を決定する工程S4、非直送材の圧延順に対応する装入加熱炉を決定する工程S5、及び非直送材の圧延順を決定する工程S6を含んでいる。以下、各工程について説明する。   Next, the rolling order determination method S0 will be described with reference to FIG. FIG. 1 shows the flow of the rolling order determination method S0. In the rolling order determination method S0, regarding the four heating furnaces of No. 1 to No. 4, the No. 1 and No. 2 furnaces heat non-direct feed materials (meaning that they are not direct feed materials from the casting process; the same applies hereinafter). No. 3 and No. 4 furnaces are embodiments in which direct feed materials (meaning direct feed materials from the casting process; the same applies hereinafter) are heated. The rolling order determination method S0 of this embodiment includes a step S1 for inputting rolled material information, a step S2 for determining the number of rolling opportunities and the number of rolled materials for each chance, a step S3 for calculating a heating furnace extraction time, and rolling of a direct feed material. Step S4 for determining the order and the charging furnace, Step S5 for determining the charging furnace corresponding to the rolling order of the non-direct feed material, and Step S6 for determining the rolling order of the non-direct feed material. Hereinafter, each step will be described.

<圧延材情報を入力する工程S1>
圧延材情報を入力する工程S1(以下「工程S1」と記載することがある。)は、圧延すべき圧延材の情報を入力する工程である。ここでは、圧延材に関する各情報を入力し、後工程に受け渡す。入力される情報は、例えば直送材か非直送材か、目標抽出温度、仕上げ幅、及び仕上げ厚さ等を挙げることができる。
<Step S1 for inputting rolled material information>
Step S1 for inputting rolled material information (hereinafter sometimes referred to as “step S1”) is a step for inputting information on a rolled material to be rolled. Here, each piece of information regarding the rolled material is input and transferred to the subsequent process. The input information can include, for example, direct feed material or non-direct feed material, target extraction temperature, finishing width, finishing thickness, and the like.

<圧延チャンス数及び各チャンスの圧延材数を決定する工程S2>
圧延チャンス数及び各チャンスの圧延材数を決定する工程S2(以下「工程S2」と記載することがある。)は、圧延材をいくつの圧延チャンスに分割し、圧延チャンス数及び各チャンスを構成する圧延材の数を決定する工程である。圧延チャンス数及び各チャンスを構成する圧延材の数は、過去の圧延工具の表面荒れ状況等から経験的に決められる。
<Step S2 for determining the number of rolling chances and the number of rolled materials for each chance>
In step S2 for determining the number of rolling chances and the number of rolling materials for each opportunity (hereinafter sometimes referred to as “step S2”), the rolling material is divided into several rolling opportunities, and the number of rolling chances and each chance are configured. This is a step of determining the number of rolled materials to be rolled. The number of rolling chances and the number of rolling materials constituting each chance are determined empirically from the past surface roughness of the rolling tool.

<加熱炉抽出時間を計算する工程S3>
加熱炉抽出時間を計算する工程S3(以下「工程S3」と記載することがある。)は、圧延材の加熱炉からの抽出時間を算出する。ここでは、1つ前を先行する圧延材の加熱炉抽出時間に平均抽出ピッチを加えた時間を加熱炉抽出時間とする。ただし、1つ前を先行する圧延材と当該圧延材との圧延チャンスが異なる場合には、平均抽出ピッチの代わりに、圧延工具替え時間を加える。
<Process S3 for calculating heating furnace extraction time>
In step S3 for calculating the heating furnace extraction time (hereinafter sometimes referred to as “step S3”), the extraction time of the rolled material from the heating furnace is calculated. Here, a time obtained by adding the average extraction pitch to the heating furnace extraction time of the rolled material preceding the previous one is defined as the heating furnace extraction time. However, when the rolling chances of the rolled material preceding the preceding one and the rolled material are different, a rolling tool change time is added instead of the average extraction pitch.

<直送材の圧延順と装入加熱炉を決定する工程S4>
直送材の圧延順と装入加熱炉を決定する工程S4(以下「工程S4」と記載することがある。)は、直送材の圧延順と装入する加熱炉を決定する工程である。直送材は熱損失を避けることを最優先とし、鋳造工程から直送される時間に必要加熱時間を加算して抽出可能時間を求め、当該抽出可能時間後で最も直近の圧延順を割り当てる。図6に直送材が割り当てられる場面を模式的に示した。このように直送材は、上記最も適した圧延順となるように非直送材の間に割り当てられていく。直送材が装入される加熱炉は上記のように3号炉又は4号炉のいずれかであり、装入する炉は1つ前を先行する直送材とは異なる加熱炉とされる。これによりサイクリックに直送材が3号炉及び4号炉に装入される。本工程S4により直送材の圧延順と装入加熱炉が決定する。
<Step S4 for Determining Rolling Order and Charging Furnace of Direct Feed Material>
The step S4 for determining the rolling order of the direct feed material and the charging furnace (hereinafter sometimes referred to as “step S4”) is a step of determining the rolling order of the direct feed material and the heating furnace to be charged. The direct feed material has the highest priority on avoiding heat loss, and the required heating time is added to the time directly fed from the casting process to obtain the extractable time, and the latest rolling order is assigned after the extractable time. FIG. 6 schematically shows a scene where direct feed materials are assigned. In this way, the direct feed materials are allocated among the non-direct feed materials so as to have the most suitable rolling order. The heating furnace in which the direct feed material is charged is either the No. 3 furnace or the No. 4 furnace as described above, and the furnace to be charged is a heating furnace different from the preceding direct feed material. As a result, the direct feed material is cyclically charged into the No. 3 and No. 4 furnaces. By this step S4, the rolling order of the direct feed material and the charging furnace are determined.

<非直送材の装入加熱炉を決定する工程S5>
非直送材の装入加熱炉を決定する工程S5(以下「工程S5」と記載することがある。)は、圧延順に応じて各非直送材を装入する加熱炉を決定する工程である。装入する炉は図7に模式的に示したように1つ前を先行する非直送材と異なる加熱炉となるようにサイクリックに1号炉又は2号炉のいずれかに割り当てられる。
<Step S5 of determining a charging furnace for non-direct feed materials>
Step S5 for determining the charging furnace for non-directly fed materials (hereinafter sometimes referred to as “step S5”) is a step for determining a heating furnace for charging each non-directly fed material according to the rolling order. As shown schematically in FIG. 7, the charging furnace is cyclically assigned to either the No. 1 furnace or No. 2 furnace so as to be a heating furnace different from the preceding non-direct feed material.

<非直送材の圧延順を決定する工程S6>
非直送材の圧延順を決定する工程S6(以下「工程S6と記載することがある。」は、非直送材の圧延順を決める工程である。当該圧延順の決定は所定の順により行われる。図8に工程S6に含まれ、評価関数値Jの最小を演算して非直送材の圧延順が決定されるまでの工程S10の流れを示した。工程S10は上記した評価関数値Jを用いて圧延順を決定する。工程S10は、非直送材の圧延順初期値を与え評価関数値Jを算出する工程S11、非直送材の変更された圧延順候補により評価関数値J’を算出する工程S12、評価関数値を比較判定する工程S13、圧延順候補に圧延順を変更しJ’の値をJとする工程S14、及び計算終了を判定する工程S15を含んでいる。以下、各工程について説明する。
<Step S6 for determining the rolling order of non-direct feed materials>
The step S6 for determining the rolling order of the non-directly fed material (hereinafter, sometimes referred to as “step S6”) is a step for determining the rolling order of the non-directly fed material. The determination of the rolling order is performed in a predetermined order. 8 shows the flow of step S10 that is included in step S6 and calculates the minimum of the evaluation function value J to determine the rolling order of the non-directly fed material, which is the above-described evaluation function value J. In step S10, an evaluation function value J ′ is calculated based on the changed rolling order candidate of the non-directly fed material. Step S12 for performing comparison, Step S13 for comparing and determining evaluation function values, Step S14 for changing the rolling order to a rolling order candidate and setting the value of J ′ to J, and Step S15 for determining the end of calculation are included. The process will be described.

<非直送材の圧延順初期値を与え評価関数値Jを算出する工程S11>
非直送材の圧延順初期値を与え評価関数値Jを算出する工程S11(以下単に「工程S11」と記載することがある。)は、非直送材の適当に定めた初期圧延順に基づいて上記評価関数値Jを求める工程である。ここでは、以下に説明する各工程の計算を行うための初期値を提供する目的を有する。
<Step S11 in which an evaluation function value J is calculated by giving a rolling order initial value of a non-direct feed material>
The step S11 for giving the initial value in the rolling order of the non-directly fed material and calculating the evaluation function value J (hereinafter sometimes simply referred to as “step S11”) is based on the appropriately determined initial rolling order of the non-directly fed material. This is a step of obtaining the evaluation function value J. Here, it has the objective of providing an initial value for performing calculation of each process described below.

<非直送材の変更された圧延順候補により評価関数値J’を算出する工程S12>
非直送材の変更された圧延順候補により評価関数値J’を算出する工程S12(以下単に「工程S12」と記載することがある。)は、工程S11の計算の基礎となる圧延順とは異なる非直送材の圧延順を設定し、これに基づいて評価関数値J’を算出する工程である。算出の方法は上記した通りである。これにより工程S11で得られた評価関数値Jと工程S12で得られた評価関数値J’との2つの評価関数値を得ることができる。
<Step S12 of calculating the evaluation function value J ′ from the rolling order candidate in which the non-direct feed material is changed>
Step S12 for calculating the evaluation function value J ′ based on the rolling order candidate with the non-directly fed material changed (hereinafter sometimes simply referred to as “step S12”) is the rolling order that is the basis of the calculation in step S11. This is a step of setting the rolling order of different non-direct feed materials and calculating the evaluation function value J ′ based on this. The calculation method is as described above. As a result, two evaluation function values, that is, the evaluation function value J obtained in step S11 and the evaluation function value J ′ obtained in step S12 can be obtained.

<評価関数値を比較判定する工程S13>
評価関数値を比較判定する工程S13(以下単に「工程S13」と記載することがある。)は、評価関数値Jと評価関数値J’との大きさを比較する工程である。評価関数値Jが評価関数値J’以下の場合、後述する、圧延順候補に圧延順を変更してJ’の値をJとする工程S14を飛ばして、該評価関数値Jをもって計算終了を判定する工程S15へ進む。一方、評価関数値J’の方が小さかった場合、圧延順候補に圧延順を変更しJ’の値をJとする工程S14へ進む。すなわちここでは、より小さい評価関数値が選択されるように判定する。
<Step S13 for comparing and determining evaluation function values>
Step S13 for comparing and determining evaluation function values (hereinafter sometimes simply referred to as “step S13”) is a step of comparing the magnitudes of evaluation function value J and evaluation function value J ′. When the evaluation function value J is equal to or less than the evaluation function value J ′, the process S14, which will be described later, is changed to the rolling order candidate and the value of J ′ is set to J is skipped, and the calculation ends with the evaluation function value J. It progresses to process S15 to determine. On the other hand, if the evaluation function value J ′ is smaller, the rolling order is changed to a rolling order candidate and the process proceeds to step S14 where the value of J ′ is J. That is, here, it is determined that a smaller evaluation function value is selected.

<圧延順候補に圧延順を変更しJ’の値をJとする工程S14>
圧延順候補に圧延順を変更しJ’の値をJとする工程S14(以下単に「工程S14」と記載することがある。)は、工程S13において、評価関数値J’の方が小さかった場合に、当該評価関数値J’を評価関数値Jと置き換える工程である。これにより、現時点でとり得る最小の評価関数値を評価関数値Jとすることができる。
<Step S14 in which the rolling order is changed to a rolling order candidate and the value of J ′ is J>
In step S14 where the rolling order is changed to a rolling order candidate and the value of J ′ is J (hereinafter, sometimes simply referred to as “step S14”), the evaluation function value J ′ is smaller in step S13. In this case, the evaluation function value J ′ is replaced with the evaluation function value J. Thereby, the minimum evaluation function value that can be taken at the present time can be set as the evaluation function value J.

<計算終了を判定する工程S15>
ここでは、評価関数値Jのこれ以上の計算を終了して結果を実際の圧延順に反映させるかを判断する工程である。計算の終了は本来であれば最小の評価関数値Jが得られる圧延順を見い出したときである。しかし実際には、圧延順の候補は膨大であり、厳密に最小の評価関数値Jを見い出すのは時間的な制約等から困難である。そこで、所定の数の評価関数値計算の中で最も小さい評価関数値を採用する。計算終了を判定する工程S15は、この計算が所定回数に至ったか否かを判断する工程である。計算が所定回数に至っていないときには、工程S12に戻り、新たなる評価関数値J’を算出するように指令する。一方、計算が所定回数に至ったときには終了し、ここまでで最小の評価関数値Jを得た圧延順を採用する。ここで、所定回数の設定方法は特に限定されるものではないが、計算機の能力や圧延順を決定する際に許される時間などから決定する。
<Step S15 for determining the end of calculation>
Here, it is a step of judging whether or not the further calculation of the evaluation function value J is finished and the result is reflected in the actual rolling order. The end of the calculation is when the rolling order that would normally yield the smallest evaluation function value J is found. However, in reality, the rolling order candidates are enormous, and it is difficult to find the minimum evaluation function value J strictly because of time constraints and the like. Therefore, the smallest evaluation function value among the predetermined number of evaluation function value calculations is adopted. Step S15 for determining the end of the calculation is a step for determining whether or not this calculation has reached a predetermined number of times. When the calculation has not reached the predetermined number of times, the process returns to step S12 to instruct to calculate a new evaluation function value J ′. On the other hand, when the calculation reaches a predetermined number of times, the process is terminated, and the rolling order in which the smallest evaluation function value J is obtained is adopted. Here, the setting method for the predetermined number of times is not particularly limited, but is determined based on the capacity of the computer and the time allowed for determining the rolling order.

以上のような圧延順決定方法S0により、複数の加熱炉、及び直送材がある場合であっても、圧延材の加熱炉における過加熱量を正確に予測して加熱炉における圧延材の加熱を制御し、加熱燃料費を低減できる。ここで、加熱炉の基数や直送材の有無は特に限定されるものではなく、いずれの場合においても本発明の方法を用いることが可能である。そしてこの方法により得られた圧延順で圧延を行うことにより、本方法を備える熱延鋼板の製造方法を提供することができる。   By the rolling order determination method S0 as described above, even when there are a plurality of heating furnaces and direct feed materials, the amount of overheating in the heating furnace of the rolling material is accurately predicted to heat the rolling material in the heating furnace. Controlling and heating fuel cost can be reduced. Here, the number of heating furnaces and the presence / absence of a direct feed material are not particularly limited, and in any case, the method of the present invention can be used. And the manufacturing method of a hot-rolled steel plate provided with this method can be provided by rolling in the rolling order obtained by this method.

実際の熱延鋼板の製造は、本発明の圧延順決定方法により圧延順を算出する手段を備える圧延順決定装置、及びこれを具備する熱延鋼板の製造装置を用いて行われる。   The actual production of a hot-rolled steel sheet is performed by using a rolling order determining apparatus provided with means for calculating the rolling order by the rolling order determining method of the present invention, and a hot-rolled steel sheet manufacturing apparatus having the rolling order determining apparatus.

次に実施例によりさらに詳しく説明する。ただし、本発明は本実施例に限定されるものではない。本実施例では、上記した実施形態の圧延順決定方法S0に基づいて非直送材の平均過加熱量を算出した。比較のため、従来方法により得られた圧延順における平均過加熱量も合わせて示した。   Next, the embodiment will be described in more detail. However, the present invention is not limited to this embodiment. In this example, the average overheating amount of the non-direct feed material was calculated based on the rolling order determination method S0 of the above-described embodiment. For comparison, the average overheating amount in the rolling order obtained by the conventional method is also shown.

実施例の条件は実施形態の圧延順決定方法S0によるものである。すなわち1〜4号炉のうち1号及び2号炉に非直送材が装入される。過加熱量は1号炉及び2号炉における過加熱量の平均の平均値である。従来方法は、本発明において説明した評価関数値Jとは異なる評価関数値Kを用いた。詳しくは式14により表される。   The conditions of the examples are based on the rolling order determination method S0 of the embodiment. That is, the non-direct feed material is charged into the No. 1 and No. 2 furnaces among the No. 1 to No. 4 furnaces. The amount of overheating is an average value of the amount of overheating in the No. 1 furnace and No. 2 furnace. In the conventional method, an evaluation function value K different from the evaluation function value J described in the present invention is used. Specifically, it is expressed by Expression 14.

Figure 2008254060

ここで、Kは抽出温度の評価項、Kは仕上げ板幅の評価関数項、及びKは仕上げ板厚の評価関数項である。KはJと同じであり、KはJと同じである。また、Kは式15で表され、先後圧延材間における目標抽出温度に関してその変化を評価する項である。最も理想的には1つの圧延チャンス内で、目標抽出温度が上昇又は下降するいずれかの方向に単調に推移するように滑らかに圧延材の順が決められる。しかし、他の条件の影響によりこれが必ずしも理想的なものにはならないので、抽出温度の評価項Kによりそれを評価するというものである。
Figure 2008254060

Here, K t is an evaluation term for the extraction temperature, K w is an evaluation function term for the finished plate width, and K h is an evaluation function term for the finished plate thickness. K w is the same as the J w, K h is the same as the J h. K t is expressed by Expression 15 and is a term for evaluating the change with respect to the target extraction temperature between the first and second rolled materials. Most ideally, the order of the rolled materials is determined smoothly so that the target extraction temperature changes monotonously in either direction of increasing or decreasing within one rolling chance. However, since thereby the influence of the other conditions are not always ideal, is that evaluates it by evaluating terms K t of extraction temperature.

Figure 2008254060

ここでτ1,jは、1号炉に装入される第j圧延材の目標抽出温度、τ2,jは2号炉に装入される第j圧延材の目標抽出温度である。すなわち抽出温度の評価項Kでは同一炉内で先後する圧延材の目標抽出温度の差の2乗和を用いている。この際、本発明の方法と従来方法で、板幅、板厚に関する評価が同等、すなわちJ=K、Jh=Khとなるように重み係数α,αを調整し、過加熱量に関する評価を比較した。
Figure 2008254060

Here, τ 1, j is the target extraction temperature of the j-th rolled material charged into the No. 1 furnace, and τ 2, j is the target extraction temperature of the j-th rolled material charged into the No. 2 furnace. That is, in evaluating terms K t of extraction temperatures are used the sum of squares of the difference of the target extraction temperature of the strip to the front-rear in the same furnace. At this time, the weighting factors α w and α h are adjusted so that the evaluations regarding the plate width and thickness are equal between the method of the present invention and the conventional method, that is, J w = K w and J h = K h. The evaluation regarding the heating amount was compared.

表1に結果を示す。   Table 1 shows the results.

Figure 2008254060
Figure 2008254060

このように本発明により決定された圧延順により圧延材を加熱することで、過加熱量を抑えることができた。これにより圧延材1kgに対し1.7kcal(7.1kJ)の熱量を節約することができることとなり、これに相当する燃料を減らすことができる。   Thus, the amount of overheating was able to be suppressed by heating a rolling material by the rolling order determined by this invention. As a result, a heat amount of 1.7 kcal (7.1 kJ) per 1 kg of the rolled material can be saved, and the fuel corresponding to this can be reduced.

以上、現時点において最も実践的であり、かつ、好ましいと思われる実施形態に関連して本発明を説明したが、本発明は本願明細書中に開示された実施形態に限定されるものではなく、請求の範囲及び明細書全体から読み取れる発明の要旨或いは思想に反しない範囲で適宜変更可能であり、そのような変更を伴う、圧延順決定方法、該方法を用いた熱延鋼板の製造方法、及びその製造装置も本発明の技術的範囲に包含されるものとして理解されなければならない。   Although the present invention has been described in connection with the most practical and preferred embodiments at the present time, the present invention is not limited to the embodiments disclosed herein, The invention can be changed as appropriate without departing from the scope or spirit of the invention that can be read from the claims and the entire specification, and includes such a change, a rolling order determination method, a method of manufacturing a hot-rolled steel sheet using the method, and The manufacturing apparatus must also be understood as being included in the technical scope of the present invention.

1つの実施形態に係る本発明の熱間圧延の圧延順決定方法のフロー図である。It is a flowchart of the rolling order determination method of the hot rolling of this invention which concerns on one embodiment. 予測加熱炉抽出温度を求める方法を説明するための図である。It is a figure for demonstrating the method of calculating | requiring estimated heating furnace extraction temperature. 予測加熱炉抽出温度を求める方法を説明するためのさらなる図である。It is a further figure for demonstrating the method of calculating | requiring estimated heating furnace extraction temperature. 仕上げ板幅の評価項における関数の特性を模式的に示すグラフである。It is a graph which shows typically the characteristic of the function in the evaluation term of finishing board width. 仕上げ板厚の評価項における関数の特性を模式的に示すグラフである。It is a graph which shows typically the characteristic of the function in the evaluation term of finishing board thickness. 直送材が割り当てられた場面を模式的に示した図である。It is the figure which showed typically the scene where the direct feed material was allocated. 非直送材が加熱炉に割り当てられた場面を模式的に示した図である。It is the figure which showed typically the scene where the non-direct feed material was allocated to the heating furnace. 非直送材の圧延順を決定する工程に含まれる評価関数値Jを演算する工程のフロー図である。It is a flowchart of the process of calculating the evaluation function value J contained in the process of determining the rolling order of a non-direct feed material.

符号の説明Explanation of symbols

S0 熱間圧延の圧延順決定方法
S1 圧延材情報を入力する工程
S2 圧延チャンス数及び各チャンスの圧延材数を決定する工程
S3 加熱炉抽出時間を計算する工程
S4 直送材の圧延順と装入加熱炉を決定する工程
S5 非直送材の圧延順に対応する装入加熱炉を決定する工程
S6 非直送材の圧延順を決定する工程
S10 評価関数値Jの最小を演算して非直送材の圧延順が決定されるまでの工程
S11 非直送材の圧延順初期値を与え評価関数値Jを算出する工程
S12 非直送材の変更された圧延順候補により評価関数値J’を算出する工程
S13 評価関数値を比較判定する工程
S14 圧延順候補に圧延順を変更してJ’の値をJとする工程
S15 計算終了を判定する工程S15
S0 Rolling Order Determination Method for Hot Rolling S1 Step for Inputting Rolled Material Information S2 Step for Determining the Number of Rolling Opportunities and the Number of Rolled Materials for Each Opportunity S3 Step for Calculation of Heating Furnace Extraction Time S4 Rolling Order and Charging Step of determining heating furnace S5 Step of determining charging furnace corresponding to rolling order of non-directly fed material S6 Step of determining rolling order of non-directly fed material S10 Rolling of non-directly fed material by calculating minimum of evaluation function value J Step until order is determined S11 Step of calculating an evaluation function value J by giving an initial value in the rolling order of the non-directly fed material S12 Step of calculating an evaluation function value J ′ based on a rolling order candidate whose non-directly fed material is changed S13 Evaluation Step S14 for comparing and determining function values Step S15 for changing the rolling order to a rolling order candidate and setting the value of J 'to J S15 Step for determining the end of calculation S15

Claims (6)

加熱炉にて加熱した後に圧延機で圧延される複数の圧延材の圧延順を決定する方法であって、
複数の前記圧延材が前記加熱炉に装入される前に該圧延材のそれぞれについて加熱炉抽出温度を予測し、予測された前記加熱炉抽出温度と前記圧延材の目標加熱炉抽出温度との差である過加熱量を計算するとともに、
複数の前記圧延材の前記過加熱量の総和を少なくとも1つの項に含む評価関数から評価関数値を計算し、該評価関数値が最小となるように前記圧延材の圧延順を決定することを特徴とする熱間圧延の圧延順決定方法。
A method for determining a rolling order of a plurality of rolled materials rolled in a rolling mill after being heated in a heating furnace,
Before a plurality of the rolled materials are charged into the heating furnace, a heating furnace extraction temperature is predicted for each of the rolled materials, and the predicted heating furnace extraction temperature and the target heating furnace extraction temperature of the rolling material are calculated. While calculating the amount of overheating that is the difference,
Calculating an evaluation function value from an evaluation function including the sum of the overheating amounts of the plurality of rolled materials in at least one term, and determining a rolling order of the rolled material so that the evaluation function value is minimized. A method for determining the rolling order of hot rolling.
鋳造工程から直送される圧延材である複数の直送材と、該直送材以外の圧延材である複数の非直送材とを混合して圧延するときに、前記直送材のみを加熱する加熱炉、及び前記非直送材のみを加熱する加熱炉を有し、前記直送材及び前記非直送材の圧延順を決定する方法であって、
前記直送材は、前記鋳造工程から前記加熱炉への必要搬送時間に該加熱炉における必要加熱時間を加えた合計時間を算出し、該合計時間後の最も早く圧延できる圧延順となるように割り当てられ、
前記非直送材は、複数の前記非直送材が前記加熱炉に装入される前に該非直送材のそれぞれについて加熱炉抽出温度を予測し、予測された前記加熱炉抽出温度と前記非直送材の目標加熱炉抽出温度との差である過加熱量を計算するとともに、
複数の前記非直送材の前記過加熱量の総和を少なくとも1つの項に含む評価関数から評価関数値を計算し、該評価関数値が最小となるように前記非直送材の圧延順を決定することを特徴とする熱間圧延の圧延順決定方法。
A heating furnace that heats only the direct feed material when mixing and rolling a plurality of direct feed materials that are rolled materials directly fed from a casting process and a plurality of non-direct feed materials that are rolled materials other than the direct feed materials, And a heating furnace for heating only the non-direct feed material, and determining a rolling order of the direct feed material and the non-direct feed material,
The direct feed material is calculated by adding the necessary heating time in the heating furnace to the necessary conveying time from the casting process to the heating furnace, and assigned so that the rolling order can be rolled earliest after the total time. And
The non-direct feed material predicts a heating furnace extraction temperature for each of the non-direct feed materials before the plurality of non-direct feed materials are charged into the heating furnace, and the predicted heating furnace extraction temperature and the non-direct feed material While calculating the amount of overheating that is the difference from the target furnace extraction temperature of
An evaluation function value is calculated from an evaluation function including the sum of the overheating amounts of a plurality of the non-direct feed materials in at least one term, and the rolling order of the non-direct feed materials is determined so that the evaluation function value is minimized. A method for determining the rolling order of hot rolling.
請求項1又は2に記載の熱間圧延の圧延順決定方法の予測される前記加熱炉抽出温度を、圧延順と前記目標加熱炉抽出温度のみから算出することが可能な式で表すとともに、一の圧延順を与えて一の評価関数値を計算した後、前記一の圧延順とは異なる他の圧延順を与えて他の評価関数値を計算し、
前記一の評価関数値が前記他の評価関数値以下のときには前記一の評価関数値はそのまま維持され、前記他の評価関数値が前記一の評価関数値よりも小さいときには該一の評価関数値は前記他の評価関数値となるよう置換される過程を繰り返すことにより前記評価関数値を最小にすることを特徴とする熱間圧延の圧延順決定方法。
The heating furnace extraction temperature predicted by the hot rolling rolling order determination method according to claim 1 or 2 is expressed by an expression that can be calculated only from the rolling order and the target heating furnace extraction temperature. After calculating one evaluation function value by giving the rolling order of, the other evaluation function value is calculated by giving another rolling order different from the one rolling order,
When the one evaluation function value is less than or equal to the other evaluation function value, the one evaluation function value is maintained as it is, and when the other evaluation function value is smaller than the one evaluation function value, the one evaluation function value Is a method for determining the rolling order of hot rolling, wherein the evaluation function value is minimized by repeating the process of replacing the other evaluation function values.
請求項1〜3のいずれか一項に記載の熱間圧延の圧延順決定方法により得られた圧延順に圧延をおこなうことを特徴とする熱延鋼板の製造方法。   A method for producing a hot-rolled steel sheet, wherein rolling is performed in the rolling order obtained by the method for determining the rolling order of hot rolling according to any one of claims 1 to 3. 請求項1〜3のいずれか一項に記載の熱間圧延の圧延順決定方法により圧延順を算出する手段を備えることを特徴とする圧延順決定装置。   A rolling order determination apparatus comprising means for calculating a rolling order by the hot rolling rolling order determination method according to any one of claims 1 to 3. 加熱炉と、圧延機とを有する熱延鋼板の製造装置であって、請求項5に記載の圧延順決定装置を備えることを特徴とする熱延鋼板の製造装置。   An apparatus for producing a hot-rolled steel sheet having a heating furnace and a rolling mill, comprising the rolling order determining apparatus according to claim 5.
JP2007101750A 2007-04-09 2007-04-09 Rolling order determination method for hot rolling, manufacturing method for hot rolled steel sheet Active JP5007597B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP2007101750A JP5007597B2 (en) 2007-04-09 2007-04-09 Rolling order determination method for hot rolling, manufacturing method for hot rolled steel sheet

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2007101750A JP5007597B2 (en) 2007-04-09 2007-04-09 Rolling order determination method for hot rolling, manufacturing method for hot rolled steel sheet

Publications (2)

Publication Number Publication Date
JP2008254060A true JP2008254060A (en) 2008-10-23
JP5007597B2 JP5007597B2 (en) 2012-08-22

Family

ID=39978182

Family Applications (1)

Application Number Title Priority Date Filing Date
JP2007101750A Active JP5007597B2 (en) 2007-04-09 2007-04-09 Rolling order determination method for hot rolling, manufacturing method for hot rolled steel sheet

Country Status (1)

Country Link
JP (1) JP5007597B2 (en)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2010264505A (en) * 2009-05-18 2010-11-25 Sumitomo Metal Ind Ltd Method of deciding rolling order of steel plate and method of manufacturing steel plate
WO2013153879A1 (en) * 2012-04-10 2013-10-17 Jfeスチール株式会社 Hot-rolling-sequence determination system, and hot-rolling-sequence determination method
JP2016078070A (en) * 2014-10-15 2016-05-16 Jfeスチール株式会社 Rolling order determination system for hot rolling and rolling order determination method

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH05263153A (en) * 1992-03-14 1993-10-12 Sumitomo Metal Ind Ltd Method for controlling extraction in rotary hearth type heating furnace
JPH1190515A (en) * 1997-09-18 1999-04-06 Kobe Steel Ltd Method for storing stock slab, method for preparing rolling order of slab and method for heating slab
JP2003248515A (en) * 2002-02-25 2003-09-05 Toshiba Corp Maintenance supporting system for controller for process control

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH05263153A (en) * 1992-03-14 1993-10-12 Sumitomo Metal Ind Ltd Method for controlling extraction in rotary hearth type heating furnace
JPH1190515A (en) * 1997-09-18 1999-04-06 Kobe Steel Ltd Method for storing stock slab, method for preparing rolling order of slab and method for heating slab
JP2003248515A (en) * 2002-02-25 2003-09-05 Toshiba Corp Maintenance supporting system for controller for process control

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2010264505A (en) * 2009-05-18 2010-11-25 Sumitomo Metal Ind Ltd Method of deciding rolling order of steel plate and method of manufacturing steel plate
WO2013153879A1 (en) * 2012-04-10 2013-10-17 Jfeスチール株式会社 Hot-rolling-sequence determination system, and hot-rolling-sequence determination method
JP5403196B1 (en) * 2012-04-10 2014-01-29 Jfeスチール株式会社 Rolling order determination system and rolling order determination method
JP2016078070A (en) * 2014-10-15 2016-05-16 Jfeスチール株式会社 Rolling order determination system for hot rolling and rolling order determination method

Also Published As

Publication number Publication date
JP5007597B2 (en) 2012-08-22

Similar Documents

Publication Publication Date Title
JP4935489B2 (en) Heating furnace charging order determination method and apparatus
JP6593080B2 (en) Steelmaking rolling planning device, steelmaking rolling planning method, and program
JP5007597B2 (en) Rolling order determination method for hot rolling, manufacturing method for hot rolled steel sheet
JP4983719B2 (en) Rolling order determination method and rolling order determination apparatus for hot rolling, and hot rolled steel sheet manufacturing method and manufacturing apparatus
JP5435181B1 (en) Heating furnace extraction order creation device, heating furnace extraction order creation method, and steel plate manufacturing method
JP6020366B2 (en) Mill pacing device, mill pacing method and operation method
CN105414205A (en) PLC-based online predication method for temperatures of steel plates
JP2008024966A (en) Method for controlling furnace temperature in continuous type heating furnace, and method for producing steel material
JP5403196B1 (en) Rolling order determination system and rolling order determination method
JP4998655B2 (en) Combustion control method for continuous heating furnace
JP2012133633A (en) Production plan creation device
JP4915376B2 (en) Rolling order determination method and rolling order determination apparatus for hot rolling, and hot rolled steel sheet manufacturing method and manufacturing apparatus
JP5375318B2 (en) Method for adjusting concentration and temperature of molten metal component and method for producing steel
JP2015001004A (en) Method and program for setting furnace velocity and furnace temperature in continuous annealing line
JP6652095B2 (en) Method of rolling steel sheet and method of manufacturing steel sheet
JP6229632B2 (en) Rolling order determination system and rolling order determination method for hot rolling
JP6750602B2 (en) Heating furnace initial plan making device, heating furnace initial plan making method and rolled steel sheet manufacturing method
JP5707829B2 (en) Heating furnace charging order and extraction order / rolling order creation method, and heating furnace charging order and extraction order / rolling order creation device
JP6822390B2 (en) Rough rolling time calculation method for thick steel sheets, rough rolling time calculation device for thick steel sheets, and manufacturing method for thick steel sheets
CN110490383B (en) Integrated production heat plan optimization method based on slab clustering
JP4701927B2 (en) Steel plate manufacturing method
JP4631105B2 (en) Heating control method for heating furnace
JP5581600B2 (en) Determination method of heating furnace extraction interval
CN115305343B (en) Industrial process-based control method, apparatus and storage medium
Kulas et al. Open Loop Dynamic Optimization of Aluminium Extrusion

Legal Events

Date Code Title Description
A621 Written request for application examination

Free format text: JAPANESE INTERMEDIATE CODE: A621

Effective date: 20090527

RD01 Notification of change of attorney

Free format text: JAPANESE INTERMEDIATE CODE: A7421

Effective date: 20101101

A977 Report on retrieval

Free format text: JAPANESE INTERMEDIATE CODE: A971007

Effective date: 20110620

A131 Notification of reasons for refusal

Free format text: JAPANESE INTERMEDIATE CODE: A131

Effective date: 20110628

A521 Written amendment

Free format text: JAPANESE INTERMEDIATE CODE: A523

Effective date: 20110822

TRDD Decision of grant or rejection written
A01 Written decision to grant a patent or to grant a registration (utility model)

Free format text: JAPANESE INTERMEDIATE CODE: A01

Effective date: 20120501

A01 Written decision to grant a patent or to grant a registration (utility model)

Free format text: JAPANESE INTERMEDIATE CODE: A01

A61 First payment of annual fees (during grant procedure)

Free format text: JAPANESE INTERMEDIATE CODE: A61

Effective date: 20120514

R150 Certificate of patent or registration of utility model

Ref document number: 5007597

Country of ref document: JP

Free format text: JAPANESE INTERMEDIATE CODE: R150

Free format text: JAPANESE INTERMEDIATE CODE: R150

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20150608

Year of fee payment: 3

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20150608

Year of fee payment: 3

S111 Request for change of ownership or part of ownership

Free format text: JAPANESE INTERMEDIATE CODE: R313111

FPAY Renewal fee payment (event date is renewal date of database)

Free format text: PAYMENT UNTIL: 20150608

Year of fee payment: 3

R350 Written notification of registration of transfer

Free format text: JAPANESE INTERMEDIATE CODE: R350

S533 Written request for registration of change of name

Free format text: JAPANESE INTERMEDIATE CODE: R313533

R350 Written notification of registration of transfer

Free format text: JAPANESE INTERMEDIATE CODE: R350