JP2009052083A - Method for determining amount of material to be charged into converter - Google Patents

Method for determining amount of material to be charged into converter Download PDF

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JP2009052083A
JP2009052083A JP2007219232A JP2007219232A JP2009052083A JP 2009052083 A JP2009052083 A JP 2009052083A JP 2007219232 A JP2007219232 A JP 2007219232A JP 2007219232 A JP2007219232 A JP 2007219232A JP 2009052083 A JP2009052083 A JP 2009052083A
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amount
steel
converter
max
charged
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JP5228402B2 (en
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Yukio Arai
幸雄 新井
Hiroshi Tanaka
宏 田中
Takahiko Maeda
孝彦 前田
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JFE Steel Corp
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JFE Steel Corp
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    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P10/00Technologies related to metal processing
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Abstract

<P>PROBLEM TO BE SOLVED: To provide a method for determining amounts of materials to be charged into a converter, which precisely estimates an acceptable amount of receiving steel in a casting pot, enhances the determination accuracy of the amounts of the materials to be charged into the converter, and thereby eliminates a loss caused by discarding surplus molten steel because the casting pot becomes full of the molten steel when the steel is tapped out from the converter. <P>SOLUTION: This determination method includes the steps of: searching the most recent usage records of a casting pot to be used (weighed value in tapping, free board value, used number of times of the pot, and weight of empty pot); calculating the present maximally receivable amount of the casting pot based on the searched usage records; adjusting the calculated present maximally-receivable amount so as to match with constraints such as facility constraint; deciding the total amount to be charged into the converter by multiplying the adjusted present maximally-receivable amount by a converter iron yield coefficient which is classified according to each type of steel; and determining respective amounts of molten pig iron and scrap. <P>COPYRIGHT: (C)2009,JPO&INPIT

Description

本発明は、転炉に装入される主原料、具体的には溶銑およびスクラップの総量を決定する転炉装入量決定方法に関するものである。   The present invention relates to a converter charging amount determination method for determining a main raw material charged into a converter, specifically, a total amount of hot metal and scrap.

従来の転炉装入量決定方法としては、例えば特許文献1に開示されている方法がある。この方法は、必要鋳片重量に連続鋳造工程での屑落ち量を加味した必要溶鋼量に、さらに2次精錬設備で添加される成分調整合金鉄・酸化鉄等の原料を加味するともに、各処理での精錬歩留を重回帰式にて算出し、更に精錬歩留を加味させ、転炉装入量の決定を行うものである。
特開平8−157923号公報
As a conventional converter charging amount determination method, for example, there is a method disclosed in Patent Document 1. In this method, in addition to the required molten steel amount that takes into account the amount of debris dropped in the continuous casting process in addition to the required slab weight, raw materials such as component-adjusted alloy iron and iron oxide added in the secondary refining equipment are added, The refining yield in the process is calculated by a multiple regression equation, and the refining yield is further taken into account to determine the converter charge.
JP-A-8-157923

しかしながら、特許文献1に開示されている方法では、転炉から出鋼した溶鋼を運搬する鋳込鍋の地金付着により生ずる、鋳込鍋の受鋼可能量の変動が考慮されていない為、転炉出鋼時に鋳込鍋満となり余剰溶鋼の湯捨て等のロスが生ずるという問題がある。   However, in the method disclosed in Patent Document 1, the variation of the steel receiving capacity of the pouring pan, which is caused by the adhesion of the metal in the pouring pan that conveys the molten steel that has been discharged from the converter, is not considered. There is a problem that the casting pot becomes full when the converter steel is discharged, and loss of excess molten steel occurs.

本発明は、このような問題を鑑みなされたものであり、鋳込鍋の受鋼可能量を精度良く推定し、転炉装入量決定精度を高めることにより、転炉出鋼時に鋳込鍋満となり余剰溶鋼の湯捨て等のロスを無くする転炉装入量決定方法を提供することを目的とする。   The present invention has been made in view of such problems, and accurately estimates the amount of steel that can be received by the pouring pan, and improves the accuracy of determining the amount of charging of the converter, so that the pouring pan can be used at the time of steel conversion from the converter. An object of the present invention is to provide a method for determining the amount of converter charge that is full and eliminates the loss of excess molten steel.

本発明の請求項1に係る発明は、使用する鋳込鍋の至近の使用実績(出鋼秤量値、フリーホ゛ート゛値、鍋回数、空鍋重量)を検索する使用実績検索ステップと、検索した使用実績に基づき、前記鋳込鍋の今回の受鋼可能Max量を算出する、今回のMAX量算出ステップと、算出した今回の受鋼可能Max量を設備制約などの制約に合致するように調整する、制約によるMAX量の調整ステップと、調整した今回の受鋼可能Max量に、鋼種毎に分類された転炉鉄歩留係数を乗じて、転炉装入総量を決定する、装入総量決定ステップと、決定した転炉装入総量を基に、転炉熱余裕状況、所定目標成分、スクラップ使用予定実績、鋼種制約に合わせて、溶銑量とスクラップ量の配合を求める、溶銑・スクラップ各々量の決定ステップとを有することを特徴とする転炉装入量決定方法である。   The invention according to claim 1 of the present invention includes a usage record search step for searching for the latest usage record (steel balance value, free board value, number of pots, empty pan weight) of the casting pan to be used, and the searched use Based on the results, calculate the maximum amount of steel that can be received this time for the casting pan, and adjust the maximum amount of steel that can be received this time to match the constraints such as equipment constraints. , MAX amount adjustment step due to constraints, and the adjusted maximum amount of steel that can be received this time, multiplied by the converter iron yield factor classified by steel type, to determine the total amount charged to the converter, determine the total amount charged The amount of hot metal and scrap is determined based on the step and the determined total amount of converter charge, according to the converter heat margin, predetermined target components, planned scrap usage, and steel type constraints. And having a determination step A Tenro charging amount determining method according to.

また本発明の請求項2に係る発明は、請求項1に転炉装入量決定方法において、前記今回のMAX量算出ステップでは、今回の受鋼可能Max量(n)を以下の式により算出することを特徴とする転炉装入量決定方法である。
今回の受鋼可能Max量(n) = a1×Max量(n) + a2×Max量(n-1) + a3×Max量(n-2) +・・・・
ここで、
Max量(n) = 出鋼秤量値(n) + フリーホ゛ート゛値(n) × 換算係数[鍋回数(n)]
n : 出鋼回数、なお、換算係数は、鍋使用回数によって求める係数
a1、a2、a3 ・・・・ :係数
In the invention according to claim 2 of the present invention, in the converter charging amount determination method according to claim 1, in the current MAX amount calculating step, the current steel receiving Max amount (n) is calculated by the following equation. It is the converter charging amount determination method characterized by doing.
Maximum amount of steel that can be received this time (n) = a 1 × Max amount (n) + a 2 × Max amount (n-1) + a 3 × Max amount (n-2) + ...
here,
Max amount (n) = Weighed steel output (n) + Free board value (n) x Conversion factor [Number of pans (n)]
n: Number of times steel is extracted, and the conversion factor is a coefficient determined by the number of times the pan is used
a 1, a 2, a 3 ...: Coefficient

さらに本発明の請求項3に係る発明は、請求項1または2に記載の転炉装入量決定方法において、前記制約によるMAX量の調整ステップでは、クレーン吊上重量制約、2次精錬設備制約による制限、および鋼種制約のいずれかまたはこれらを組み合わせた制約を考慮してMAX量の調整を行うことを特徴とする転炉装入量決定方法である。   Furthermore, the invention according to claim 3 of the present invention is the converter charging amount determination method according to claim 1 or 2, wherein the MAX amount adjustment step according to the constraints includes a crane lifting weight constraint and a secondary refining facility constraint. This is a converter charging amount determination method characterized by adjusting the MAX amount in consideration of any of the limitation by the above and the limitation of the steel type or a combination of these.

本発明は上述のような構成をとるようにしているので、鋳込鍋の受鋼可能量を精度良く推定し、転炉装入量決定精度を高めることにより、転炉出鋼時に鋳込鍋満となり余剰溶鋼の湯捨て等のロスを無くすことができる。これにより、歩留向上および生産性向上を図ることができる。   Since the present invention is configured as described above, it is possible to accurately estimate the amount of steel that can be received by the pouring pan, and to improve the accuracy of determining the amount of charging of the converter, so that the pouring pan can be used when the steel is discharged from the converter. It becomes full and can eliminate the loss of excess molten steel. Thereby, yield improvement and productivity improvement can be aimed at.

本発明は、上記課題を解消すべく、発明者らが鋭意研究を重ねて得られたものであり、鋳込鍋の鍋重量履歴、該当鍋での出鋼量実績および鍋縁から溶鋼面まで距離データを用いて出鋼鍋の受鋼可能量を演算推定を行い、転炉への溶銑装入量およびスクラップ装入量を決定することを特徴とするものである。以下、図面を参照しながら、本発明を具体的に説明してゆく。   The present invention was obtained through repeated research by the inventors in order to solve the above-mentioned problems, from the pan weight history of the casting pan, the amount of steel output in the pan, and from the pan edge to the molten steel surface. The distance data is used to calculate and estimate the amount of steel that can be received by the steel pan, and the amount of molten iron charged to the converter and the amount of scrap charged are determined. Hereinafter, the present invention will be specifically described with reference to the drawings.

図2は、本発明に係る製鋼操業の一連の概略工程を示す図である。高炉から出銑された溶銑は、溶銑予備処理工程にて脱Si,脱S,脱P処理され、転炉に装入される。そして、 転炉で脱Cされた後、鋳込鍋へ出鋼を行いつつ、合金鉄を添加し、成分調整を行う。更に、出鋼後に、鋳込鍋への溶鋼鍋重量の測定すなわち秤量を行う。2次精錬炉では、鋳込鍋縁と溶鋼面との距離(以下、フリーホ゛ート゛と称する)を測定後に、脱N、脱H、合金鉄成分調整を行い、高純度鋼を溶製する。さらに、連続鋳造はスラブ・ビレット等を鋳造する一貫連続製造工程にて行われる。   FIG. 2 is a diagram showing a series of schematic steps of steelmaking operation according to the present invention. The hot metal discharged from the blast furnace is subjected to de-Si, de-S, and de-P treatment in the hot metal pretreatment process and charged into the converter. Then, after de-C in the converter, the iron is added to the pouring pan and the alloy iron is added to adjust the ingredients. Further, after the steel is extracted, the weight of the molten steel pan to the casting pan is measured, that is, weighed. In the secondary smelting furnace, after measuring the distance between the casting ladle edge and the molten steel surface (hereinafter referred to as “free board”), the high-purity steel is melted by removing N, removing H, and adjusting the iron alloy composition. Furthermore, continuous casting is performed in an integrated continuous manufacturing process for casting slabs and billets.

図1は、本発明に係る転炉装入量決定方法の処理手順を示すブロック図である。このブロック図にそって、本発明の処理手順を以下説明する。   FIG. 1 is a block diagram showing a processing procedure of a converter charging amount determination method according to the present invention. The processing procedure of the present invention will be described below with reference to this block diagram.

Step01:鋳込鍋決定
先ず、転炉出鋼時に使用する鋳込鍋を、鍋使用予定から決める。
Step01: Casting pan decision First of all, the casting pan to be used at the time of steelmaking in the converter is decided from the plan to use the pan.

Step02:至近の使用実績検索
次に、決めた鋳込鍋の至近の使用実績(出鋼秤量値、フリーホ゛ート゛値,鍋回数,空鍋重量)の検索を行う。
Step02: Search of the latest usage record Next, search for the latest usage record of the determined pouring pan (weighed steel weigh value, free board value, number of pans, empty pan weight).

Step03:今回のMAX量算出
鋳込鍋の今回の受鋼可能Max量(n)を、下記式にて算出する。
今回の受鋼可能Max量(n) = a1×Max量(n) + a2×Max量(n-1) + a3×Max量(n-2) +・・・・
ここで、
Max量(n) = 出鋼秤量値(n) + フリーホ゛ート゛値(n) × 換算係数[鍋回数(n)]
n : 出鋼回数、なお、換算係数は、鍋使用回数によって求める係数
a1、a2、a3 ・・・・ :係数
Step03: Calculate the maximum amount (n) of the current maximum amount of steel that can be received in the casting pan by the following formula.
Maximum amount of steel that can be received this time (n) = a 1 × Max amount (n) + a 2 × Max amount (n-1) + a 3 × Max amount (n-2) + ...
here,
Max amount (n) = Weighed steel output (n) + Free board value (n) x Conversion factor [Number of pans (n)]
n: Number of times steel is extracted, and the conversion factor is a coefficient determined by the number of times the pan is used
a 1, a 2, a 3 ...: Coefficient

Step04:制約によるMAX量の調整
次に、求めた今回の受鋼可能Max量(n)を、設備制約などの制約に合致するように調整する。この制約には、例えばクレーン吊上重量制約、2次精錬設備制約による制限、鋼種制約などがある。
Step 04: Adjustment of MAX amount due to constraints Next, the obtained maximum amount of steel that can be received (n) is adjusted so as to match the constraints such as equipment constraints. Examples of this restriction include a crane lifting weight restriction, a restriction due to secondary refining equipment restriction, and a steel type restriction.

Step05:装入総量決定
今回の受鋼可能Max量(n)に、鋼種毎に分類された転炉鉄歩留係数を乗じて、転炉装入総量を決定する。
Step 05: Determination of the total amount of charge The total amount of converter charge is determined by multiplying the maximum amount of steel that can be received (n) this time by the converter iron yield factor classified for each steel type.

Step06:溶銑・スクラップ各々量の決定
以上にて求められた転炉装入量を基に、転炉熱余裕状況、所定目標成分、スクラップ使用予定実績、鋼種制約に合わせて、溶銑量とスクラップ量の配合を求める。
Step06: Based on the converter charge obtained from the determination of each amount of hot metal and scrap, the amount of hot metal and scrap amount in accordance with the converter heat margin, predetermined target components, planned scrap use, and steel type constraints Ask for the formulation.

Step01:鋳込鍋決定で、No.10の鋳込鍋が決定された場合の実施例を、以下に具体的に説明する。 Step 01: An example in which the No. 10 casting pan is determined in the casting pot determination will be specifically described below.

Step02:至近の使用実績検索で、以下の表1のようなNo.10の鋳込鍋の至近の受鋼実績データが検索される。   Step02: In the recent usage record search, the latest steel receiving record data of No. 10 casting pan as shown in Table 1 below is searched.

また、使用する換算係数は、下記の表2にて求める。   Further, the conversion factor to be used is obtained from Table 2 below.

Step04:制約によるMAX量の調整での、クレーン吊上重量制約は、次のようにする。
Y1=クレーン吊上重量−{鋳込鍋空鍋重量+鍋蓋重量+今回の受鋼可能Max量
上式で求めたY1が負、すなわちY1<0ならば、今回の受鋼可能Max量を次のように変更する。
今回の受鋼可能Max量=クレーン吊上重量−{鋳込鍋空鍋重量+鍋蓋重量}
なお、本実施例では、クレーン吊上重量は、複数のクレーンを使用することもあるため、 クレーン吊上重量=Min(使用予定クレーン(n)吊上可能重量)としている。
Step04: The crane lifting weight constraint when adjusting the MAX amount due to the constraint is as follows.
Y1 = Crane lifting weight-{Casting pan empty pan weight + Pan lid weight + Current steel receiving Max amount If Y1 obtained by the above formula is negative, that is, if Y1 <0, then this steel receiving Max amount is Change to:
Maximum amount of steel that can be received at this time = Weight of crane suspended-{Weight of casting pan empty pan + Weight of pan lid}
In this embodiment, since the crane lifting weight may use a plurality of cranes, the crane lifting weight is set to Min (the weight that can be lifted by the crane (n) to be used).

また、2次精錬設備制約による制限は、次のようにする。
Y2=今回の受鋼可能Max量−2次精錬設備におけるMax処理溶鋼量
ここで、2次精錬設備におけるMax処理溶鋼量とは、例えば、転炉→RH→AP→CCという精錬ルートの場合は、以下のようにする。
2次精錬設備におけるMax処理溶鋼量=Min(RH処理最大量,AP処理最大量)
例えば本実施例では、RH処理最大量は、220Ton〜380Ton,AP処理最大量は、220Ton〜290Ton であり、目視による設備側の地金付着量等による変動を加味した係数としている。
In addition, restrictions due to secondary refining equipment restrictions are as follows.
Y2 = Max amount of steel that can be received this time-Max processed molten steel amount in secondary refining equipment Here, the Max treated molten steel amount in secondary refining equipment is, for example, in the case of a refining route of converter → RH → AP → CC As follows.
Max processing amount of molten steel in secondary refining equipment = Min (maximum amount of RH treatment, maximum amount of AP treatment)
For example, in this embodiment, the maximum amount of RH treatment is 220 Ton to 380 Ton, and the maximum amount of AP treatment is 220 Ton to 290 Ton, which is a coefficient that takes into account fluctuations due to the amount of adhesion of bare metal on the equipment side.

上式で求めたY2が負、すなわちY2<0ならば、今回の受鋼可能Max量を次のように変更する。   If Y2 obtained by the above equation is negative, that is, if Y2 <0, the current steel receiving Max amount is changed as follows.

今回の受鋼可能Max量=2次精錬設備におけるMax処理溶鋼量
また、Step05:装入総量決定で用いる鋼種毎に分類された転炉鉄歩留係数は、0.90〜0.98の係数を用いるようにする。
Maximum amount of steel that can be received this time = Maximum amount of molten steel in secondary refining equipment Step05: The converter iron yield coefficient classified for each steel type used in the determination of the total charging amount should be 0.90 to 0.98. To do.

以上説明を行った本発明により、転炉装入量精度が向上され、余剰溶鋼の湯捨て等のロスやこれに伴う湯捨て作業がなくなり、歩留向上および生産性向上を図ることができ、工業上極めて優れた効果を奏するものである。   According to the present invention described above, the accuracy of converter charging is improved, loss of excess molten steel such as waste water and hot water disposal work associated therewith can be eliminated, yield improvement and productivity improvement can be achieved, It has extremely excellent industrial effects.

本発明に係る転炉装入量決定方法の処理手順を示すブロック図である。It is a block diagram which shows the process sequence of the converter charging amount determination method which concerns on this invention. 本発明に係る製鋼操業の一連の概略工程を示す図である。It is a figure which shows a series of schematic processes of the steel manufacture operation which concerns on this invention.

Claims (3)

使用する鋳込鍋の至近の使用実績(出鋼秤量値、フリーホ゛ート゛値、鍋回数、空鍋重量)を検索する使用実績検索ステップと、
検索した使用実績に基づき、前記鋳込鍋の今回の受鋼可能Max量を算出する、今回のMAX量算出ステップと、
算出した今回の受鋼可能Max量を設備制約などの制約に合致するように調整する、制約によるMAX量の調整ステップと、
調整した今回の受鋼可能Max量に、鋼種毎に分類された転炉鉄歩留係数を乗じて、転炉装入総量を決定する、装入総量決定ステップと、
決定した転炉装入総量を基に、転炉熱余裕状況、所定目標成分、スクラップ使用予定実績、鋼種制約に合わせて、溶銑量とスクラップ量の配合を求める、溶銑・スクラップ各々量の決定ステップとを有することを特徴とする転炉装入量決定方法。
Use result search step for searching for the latest use results of the casting pan to be used (steel balance value, free board value, number of pans, empty pan weight),
Based on the searched use results, the current MAX amount calculating step for calculating the current steel receiving Max amount of the casting pan,
Adjusting the calculated Max amount of steel receiving this time so that it matches the constraints such as equipment constraints, the MAX amount adjustment step by constraints,
The adjusted total amount of steel that can be received this time is multiplied by the converter iron yield coefficient classified for each steel type to determine the total amount charged to the converter,
Step of determining the amount of hot metal and scrap based on the determined total amount of converter charge, and determining the amount of hot metal and scrap in accordance with the converter heat margin, predetermined target components, planned scrap use, and steel type constraints A converter charging amount determination method characterized by comprising:
請求項1に転炉装入量決定方法において、
前記今回のMAX量算出ステップでは、
今回の受鋼可能Max量(n)を以下の式により算出することを特徴とする転炉装入量決定方法。
今回の受鋼可能Max量(n) = a1×Max量(n) + a2×Max量(n-1) + a3×Max量(n-2) +・・・・
ここで、
Max量(n) = 出鋼秤量値(n) + フリーホ゛ート゛値(n) × 換算係数[鍋回数(n)]
n : 出鋼回数、なお、換算係数は、鍋使用回数によって求める係数
a1、a2、a3 ・・・・ :係数
In the converter charging amount determining method according to claim 1,
In this MAX amount calculation step,
The converter charging amount determination method characterized by calculating the maximum amount (n) of steel receivable this time by the following formula.
Maximum amount of steel that can be received this time (n) = a 1 × Max amount (n) + a 2 × Max amount (n-1) + a 3 × Max amount (n-2) + ...
here,
Max amount (n) = Weighed steel output (n) + Free board value (n) x Conversion factor [Number of pans (n)]
n: Number of times steel is extracted
a 1, a 2, a 3 ...: Coefficient
請求項1または2に記載の転炉装入量決定方法において、
前記制約によるMAX量の調整ステップでは、
クレーン吊上重量制約、2次精錬設備制約による制限、および鋼種制約のいずれかまたはこれらを組み合わせた制約を考慮してMAX量の調整を行うことを特徴とする転炉装入量決定方法。
In the converter charge determination method according to claim 1 or 2,
In the adjustment step of the MAX amount due to the restriction,
A converter charge determination method, wherein the amount of MAX is adjusted in consideration of a crane lifting weight constraint, a secondary refining facility constraint, a steel grade constraint, or a combination of these.
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2012158806A (en) * 2011-02-01 2012-08-23 Jfe Steel Corp Method for determining charge amount into converter
CN106225892A (en) * 2016-07-29 2016-12-14 重庆钢铁集团电子有限责任公司 Driving molten steel metering method and system

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JPH02240521A (en) * 1989-03-14 1990-09-25 Sumitomo Metal Ind Ltd Detection of molten steel level in ladle
JPH0533029A (en) * 1991-07-30 1993-02-09 Kobe Steel Ltd Method for deciding charging quantity of main raw material in converter operation
JPH0633128A (en) * 1992-07-21 1994-02-08 Nkk Corp Method for automatically stopping steel-tapping in converter
JPH07204816A (en) * 1994-01-11 1995-08-08 Nippon Steel Corp Method for requesting material of cast slab
JPH08157923A (en) * 1994-12-05 1996-06-18 Nippon Steel Corp Method for decision of charging quantity of main raw material for converter
JP2007262455A (en) * 2006-03-27 2007-10-11 Kobe Steel Ltd Method for operating converter

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JPS62158810A (en) * 1985-12-28 1987-07-14 Kobe Steel Ltd Method for determining main material charging quantity in converter operation
JPH02240521A (en) * 1989-03-14 1990-09-25 Sumitomo Metal Ind Ltd Detection of molten steel level in ladle
JPH0533029A (en) * 1991-07-30 1993-02-09 Kobe Steel Ltd Method for deciding charging quantity of main raw material in converter operation
JPH0633128A (en) * 1992-07-21 1994-02-08 Nkk Corp Method for automatically stopping steel-tapping in converter
JPH07204816A (en) * 1994-01-11 1995-08-08 Nippon Steel Corp Method for requesting material of cast slab
JPH08157923A (en) * 1994-12-05 1996-06-18 Nippon Steel Corp Method for decision of charging quantity of main raw material for converter
JP2007262455A (en) * 2006-03-27 2007-10-11 Kobe Steel Ltd Method for operating converter

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2012158806A (en) * 2011-02-01 2012-08-23 Jfe Steel Corp Method for determining charge amount into converter
CN106225892A (en) * 2016-07-29 2016-12-14 重庆钢铁集团电子有限责任公司 Driving molten steel metering method and system
CN106225892B (en) * 2016-07-29 2022-03-22 重庆钢铁集团电子有限责任公司 Traveling crane molten steel metering method and system

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