JP2020097768A - Converter blowing control device, converter blowing control method, and program - Google Patents

Converter blowing control device, converter blowing control method, and program Download PDF

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JP2020097768A
JP2020097768A JP2018236436A JP2018236436A JP2020097768A JP 2020097768 A JP2020097768 A JP 2020097768A JP 2018236436 A JP2018236436 A JP 2018236436A JP 2018236436 A JP2018236436 A JP 2018236436A JP 2020097768 A JP2020097768 A JP 2020097768A
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converter
molten steel
value
correction term
phosphorus concentration
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JP7110969B2 (en
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健 岩村
Takeshi Iwamura
健 岩村
裕太 山田
Yuta Yamada
裕太 山田
峻秀 貞本
Takahide Sadamoto
峻秀 貞本
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Nippon Steel Corp
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Abstract

To improve prediction accuracy of a phosphorus concentration in molten steel at a time before the start of blowing.SOLUTION: The converter blowing control device includes prediction value calculation means and correction term calculation means. The prediction value calculation means calculates a prediction value of a phosphorus concentration in molten steel by adding a correction term to a function. The function relates the molten steel data for the molten steel to be blown in a converter and the auxiliary raw material data for the auxiliary raw material to be fed into the converter to the phosphorus concentration in the molten steel during the blowing process in the converter. The correction term is learned based on predicted actual performance data including the prediction and actual values of the phosphorus concentration in the molten steel in the past blowing process in the converter. The correction term calculation means expresses a correction term in a state space model, and calculates the correction term by applying a Kalman Filter using a difference between the predicted value and the actual value included in the predicted actual performance data as an observation value to the state space model.SELECTED DRAWING: Figure 1

Description

本発明は、転炉吹錬制御装置、転炉吹錬制御方法およびプログラムに関する。 The present invention relates to a converter blowing control device, a converter blowing control method, and a program.

転炉吹錬では、吹止め時の溶鋼成分濃度(例えば炭素濃度)や溶鋼温度を目標値に的中させるために、スタティック制御とダイナミック制御とを組み合わせた吹錬制御が行われている。スタティック制御では、吹錬開始前に物質収支や熱収支に基づいた数式モデルなどを用いて上記の目標を達成するための吹込み酸素量や各種副原料の投入量を決定する。ダイナミック制御では、吹錬中にサブランスを用いて測定された溶鋼成分濃度や溶鋼温度に基づいて同様の計算が実行され、吹込み酸素量や各種副原料の投入量が修正される。 In converter blowing, blowing control combining static control and dynamic control is performed in order to bring the molten steel component concentration (for example, carbon concentration) and the molten steel temperature at the time of blowing stop to a target value. In the static control, before starting the blowing, a mathematical model based on the mass balance and the heat balance is used to determine the blown oxygen amount and the input amounts of various auxiliary raw materials for achieving the above target. In the dynamic control, the same calculation is executed based on the molten steel component concentration and the molten steel temperature measured by using the sublance during blowing, and the blown oxygen amount and the input amounts of various auxiliary raw materials are corrected.

ここで、特許文献1には、転炉吹錬時における排ガス成分および排ガス流量を定期的に測定し、これらの測定値と操業条件とに基づいて推定される脱りん速度定数を用いて吹錬中の溶鋼中りん濃度を逐次推定する技術が記載されている。このような推定の結果に応じて操業条件を変更することによって、吹止め時の溶鋼中りん濃度の制御精度を高めることができる。 Here, in Patent Document 1, exhaust gas components and exhaust gas flow rates during converter blowing are periodically measured, and blowing is performed using dephosphorization rate constants estimated based on these measured values and operating conditions. A technique for sequentially estimating the phosphorus concentration in molten steel in the medium is described. By changing the operating condition in accordance with the result of such an estimation, the accuracy of controlling the phosphorus concentration in the molten steel at the time of blowing can be improved.

また、特許文献2には、石灰投入量計算式または石灰投入量計算手順を表す関数を用いて吹止め時の溶鋼中りん濃度を適切に制御する技術が記載されている。関数は、溶鋼温度、溶鋼中りん濃度、溶鋼中炭素濃度、およびその他の操業要因を表す項と、吹錬のチャージごとに更新される学習項とを含み、学習項を逐次更新することによって、精度よく適切な石灰投入量を算出し、溶鋼中りん濃度を適切に制御することができる。 Further, Patent Document 2 describes a technique for appropriately controlling the phosphorus concentration in molten steel at the time of blowing stop using a lime input amount calculation formula or a function representing a lime input amount calculation procedure. The function includes terms representing the molten steel temperature, the phosphorus concentration in the molten steel, the carbon concentration in the molten steel, and other operating factors, and a learning term updated for each charge of blowing, and by sequentially updating the learning term, It is possible to accurately calculate an appropriate lime input amount and appropriately control the phosphorus concentration in molten steel.

特開2013−23696号公報JP, 2013-23696, A 特開2000−309817号公報JP-A-2000-309817

近年、転炉吹錬を含む一次精錬工程では、スラグ発生量抑制へのニーズが高くなっている。スラグの主な発生源の1つは、吹錬初期に投入される生石灰などの媒溶材である。媒溶材は、以下に示すような脱りん反応に用いられるCaOの供給源である。従って、吹錬初期に溶鋼中のりん濃度が精度よく推定できていれば、必要十分な量の媒溶材を投入することによってスラグ発生量を最低限に抑制することができる。
3(CaO)+5(FeO)+2[P]=(3CaO・P)+5[Fe]
※()はスラグ内、[]は溶銑内を示す
In recent years, in the primary refining process including converter blowing, there is an increasing need to suppress the amount of slag generated. One of the main sources of slag is a solvent solution such as quick lime that is added in the early stage of blowing. The solvent is a source of CaO used for the dephosphorization reaction as shown below. Therefore, if the phosphorus concentration in the molten steel can be accurately estimated at the initial stage of blowing, the amount of slag generated can be suppressed to the minimum by adding a necessary and sufficient amount of the medium-melting material.
3(CaO)+5(FeO)+2[P]=(3CaO·P 2 O 5 )+5[Fe]
*() indicates inside the slag, and [] indicates inside the hot metal.

しかしながら、上記の特許文献1に記載された技術は、吹錬の開始後に排ガス成分および排ガス流量の測定値を用いて溶鋼中りん濃度を逐次推定するものであるため、吹錬初期における媒溶材の投入量を適正化するためには利用できない。また、上記の特許文献2に記載された技術は、学習項に相当する誤差が各チャージで同様に発生することを前提にしている。つまり、各チャージにおいて誤差の値が変動する場合には、この技術を用いても石灰投入量や溶鋼中りん濃度を精度よく制御することは難しい。 However, since the technique described in the above-mentioned Patent Document 1 sequentially estimates the phosphorus concentration in the molten steel by using the measured values of the exhaust gas component and the exhaust gas flow rate after the start of the blowing, therefore It cannot be used to optimize the input amount. Further, the technique described in the above-mentioned Patent Document 2 is premised on that an error corresponding to the learning term similarly occurs in each charge. That is, when the error value varies in each charge, it is difficult to accurately control the lime input amount and the molten steel phosphorus concentration even by using this technique.

そこで、本発明は、吹錬開始前の時点における溶鋼中りん濃度の予測精度を向上させることが可能な転炉吹錬制御装置、転炉吹錬制御方法およびプログラムを提供することを目的とする。 Therefore, an object of the present invention is to provide a converter blowing control device, a converter blowing control method, and a program capable of improving the prediction accuracy of the phosphorus concentration in molten steel before the start of blowing. ..

本発明のある観点によれば、転炉で吹錬処理される溶銑に関する溶銑データ、および転炉に投入される副原料に関する副原料データを転炉における吹錬処理時の溶鋼中りん濃度に関連付ける関数に、転炉における過去の吹錬処理時の溶鋼中りん濃度の予測値および実績値を含む予測実績データに基づいて学習される補正項を加えることによって溶鋼中りん濃度の予測値を算出する予測値算出手段と、補正項を状態空間モデルで表現し、状態空間モデルに対して予測実績データに含まれる予測値と実績値との差分を観測値とするカルマンフィルタを適用することによって補正項を算出する補正項算出手段とを備える転炉吹錬制御装置が提供される。
上記の構成によれば、溶鋼中りん濃度の予測値を算出するための補正項の学習を逐次実行することができ、補正項に含まれる本質的なプロセス変動の影響とノイズとを区別することができる。従って、吹錬開始前の時点における溶鋼中りん濃度の予測精度を向上させることができる。
According to an aspect of the present invention, the hot metal data relating to the hot metal blown in the converter and the auxiliary raw material data relating to the auxiliary raw material to be fed into the converter are related to the phosphorus concentration in the molten steel during the blowing process in the converter. Calculate the predicted value of phosphorus concentration in molten steel by adding to the function a correction term that is learned based on the predicted value of the phosphorus concentration in molten steel at the time of the past blowing process in the converter and the actual performance data including the actual value. Prediction value calculation means and the correction term are expressed by a state space model, and the correction term is applied to the state space model by applying a Kalman filter whose difference between the predicted value and the actual value included in the predicted actual data is the observed value. There is provided a converter blowing control device including a correction term calculation means for calculating.
According to the above configuration, the learning of the correction term for calculating the predicted value of the phosphorus concentration in the molten steel can be sequentially executed, and the influence of the essential process variation contained in the correction term and the noise can be distinguished. You can Therefore, it is possible to improve the prediction accuracy of the phosphorus concentration in the molten steel before the start of blowing.

本発明の別の観点によれば、転炉で吹錬処理される溶銑に関する溶銑データ、および転炉に投入される副原料に関する副原料データを転炉における吹錬処理時の溶鋼中りん濃度に関連付ける関数に、転炉における過去の吹錬処理時の溶鋼中りん濃度の予測値および実績値を含む予測実績データに基づいて学習される補正項を加えることによって溶鋼中りん濃度の予測値を算出する予測値算出工程と、補正項を状態空間モデルで表現し、状態空間モデルに対して予測実績データに含まれる予測値と実績値との差分を観測値とするカルマンフィルタを適用することによって補正項を算出する補正項算出工程とを含む転炉吹錬制御方法が提供される。 According to another aspect of the present invention, the hot metal data relating to the hot metal blown in the converter, and the auxiliary raw material data relating to the auxiliary raw material to be fed into the converter are set to the phosphorus concentration in the molten steel during the blowing process in the converter. Calculating the predicted value of phosphorus concentration in molten steel by adding a correction term that is learned based on the predicted value of phosphorus concentration in molten steel during the past blowing process in the converter and the actual performance data including the actual value to the function to be associated Prediction value calculation process and the correction term are expressed by a state space model, and the correction term is applied to the state space model by applying a Kalman filter whose observed value is the difference between the predicted value and the actual value included in the predicted actual data. A converter blowing control method including a correction term calculating step for calculating

本発明の一実施形態に係る転炉吹錬制御装置を含む精錬設備の概略的な構成を示す図である。It is a figure which shows the schematic structure of the refining equipment containing the converter blowing control apparatus which concerns on one Embodiment of this invention. 本発明の一実施形態に係る転炉吹錬制御方法の工程を概略的に示すフローチャートである。It is a flow chart which shows roughly the process of the converter blowing control method concerning one embodiment of the present invention. 図2に示された方法を実行するときのタイムチャートの一例である。3 is an example of a time chart when the method shown in FIG. 2 is executed. 本発明の一実施形態における状態空間モデルの効果について説明するためのグラフである。6 is a graph for explaining the effect of the state space model in the embodiment of the present invention. 本発明の一実施形態における状態空間モデルの効果について説明するためのグラフである。6 is a graph for explaining the effect of the state space model in the embodiment of the present invention. 本発明の一実施形態における状態空間モデルの効果について説明するためのグラフである。6 is a graph for explaining the effect of the state space model in the embodiment of the present invention. 本発明の一実施形態における媒溶材投入量の適正化について説明するためのグラフである。It is a graph for explaining the optimization of the amount of the solvent material input in the embodiment of the present invention.

以下に添付図面を参照しながら、本発明の好適な実施形態について詳細に説明する。なお、本明細書および図面において、実質的に同一の機能構成を有する構成要素については、同一の符号を付することにより重複説明を省略する。 Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings. In the present specification and the drawings, components having substantially the same functional configuration are designated by the same reference numerals, and duplicate description will be omitted.

これから説明する本発明の一実施形態では、転炉における溶銑の吹錬処理(転炉吹錬)において、吹錬処理の開始前の時点で、モデル式を用いて吹錬処理時の溶鋼中りん濃度の予測値を算出する。ここで、本明細書において、吹錬処理時は、吹錬処理の開始後、吹錬処理の終了(吹止め)までの間を意味し、溶鋼中りん濃度の予測値は、この間の任意の時点を対象にして算出される。具体的には、例えば、後述する中間サブランス測定の時点における溶鋼中りん濃度の予測値が算出されてもよいし、吹止め時の溶鋼中りん濃度の予測値が算出されてもよい。 In one embodiment of the present invention to be described below, in the hot metal blowing process (converter blowing process) in a converter, before the start of the blowing process, a model formula is used to melt phosphorus in molten steel during the blowing process. Calculate the predicted concentration. Here, in the present specification, the blowing process means a period from the start of the blowing process to the end (blowing stop) of the blowing process, and the predicted value of the phosphorus concentration in the molten steel is arbitrary during this period. It is calculated for the time point. Specifically, for example, the predicted value of the phosphorus concentration in the molten steel at the time of the intermediate sublance measurement described below may be calculated, or the predicted value of the phosphorus concentration in the molten steel at the time of blowing stop may be calculated.

また、溶鋼中りん濃度の予測値を算出する過程では、転炉における過去の吹錬処理時の溶鋼中りん濃度の実績値が参照されるが、この実績値についても、吹錬処理時の任意の時点で測定されたものを利用することができる。従って、例えば、中間サブランス測定の時点における溶鋼中りん濃度の実績値が利用可能であれば、吹止め時の溶鋼中りん濃度の実績値は必ずしも必要ではない。従って、以下で説明する本発明の一実施形態は、吹止め時に溶鋼成分濃度や溶鋼温度を測定せずに出鋼する、いわゆるダイレクトタップが採用される場合でも利用可能である。 Further, in the process of calculating the predicted value of the phosphorus concentration in the molten steel, the actual value of the phosphorus concentration in the molten steel in the past blowing process in the converter is referred to, but this actual value is also arbitrary in the blowing process. What was measured at the time of can be used. Therefore, for example, if the actual value of the phosphorus concentration in the molten steel at the time of the intermediate sublance measurement is available, the actual value of the phosphorus concentration in the molten steel at the time of blowing is not necessarily required. Therefore, one embodiment of the present invention described below can be used even in the case where a so-called direct tap is adopted in which steel is tapped without measuring the molten steel component concentration and the molten steel temperature at the time of blowing.

(システム構成)
図1は、本発明の一実施形態に係る転炉吹錬制御装置を含む精錬設備の概略的な構成を示す図である。図1に示されるように、精錬設備1は、転炉設備10と、計測制御装置20と、転炉吹錬制御装置30とを含む。このうち、転炉設備10は、転炉11と、上吹きランス12と、投入装置13とを含む。転炉設備10では、転炉11の炉口から挿入された上吹きランス12が溶銑111に供給する酸素ガスによって、一次精錬の脱炭処理が行われる。脱炭処理を経た溶銑111は、溶鋼112として次工程に送られる。また、脱炭処理では、溶銑111内のりんおよびケイ素も酸素ガス121、またはスラグ113に含まれる副原料と反応し、スラグ113中に取り込まれて安定化する。投入装置13は、スラグ113を構成する生石灰などを含む副原料131を転炉11内に投入する。なお、副原料131が粉体である場合は、上吹きランス12を用いて酸素ガス121とともに吹き込むことも可能である。
(System configuration)
FIG. 1 is a diagram showing a schematic configuration of refining equipment including a converter blowing control device according to an embodiment of the present invention. As shown in FIG. 1, the refining equipment 1 includes a converter equipment 10, a measurement control device 20, and a converter blowing control device 30. Of these, the converter equipment 10 includes a converter 11, an upper blowing lance 12, and a charging device 13. In the converter equipment 10, the decarburization process of the primary refining is performed by the oxygen gas supplied from the upper blowing lance 12 inserted from the furnace opening of the converter 11 to the hot metal 111. The hot metal 111 that has undergone decarburization is sent to the next step as molten steel 112. Further, in the decarburization treatment, phosphorus and silicon in the hot metal 111 also react with the oxygen gas 121 or the auxiliary raw material contained in the slag 113, and are taken into the slag 113 and stabilized. The charging device 13 charges the auxiliary raw material 131 including the quick lime forming the slag 113 into the converter 11. When the auxiliary raw material 131 is a powder, it is possible to blow it together with the oxygen gas 121 using the upper blowing lance 12.

計測制御装置20は、転炉設備10における精錬処理に関する各種の計測、および精錬処理の制御を実行する。具体的には、計測制御装置20は、サブランス21と、酸素供給装置22と、副原料投入制御装置23とを含む。サブランス21は、上吹きランス12とともに転炉11の炉口から挿入され、先端に設けられた測定装置を脱炭処理中の所定のタイミングで溶鋼112に浸漬させることによって、炭素濃度およびりん濃度を含む溶鋼112の成分濃度、および溶鋼112の温度(以下、溶鋼温度ともいう)などを測定する。吹錬中におけるサブランス21を用いた測定を、本明細書では中間サブランス測定という。サブランス測定の結果は、転炉吹錬制御装置30に送信される。酸素供給装置22は、上吹きランス12に酸素ガス121を供給する。供給される酸素ガス121の流量は調節可能である。副原料投入制御装置23は、投入装置13による副原料131の投入を制御する。具体的には、副原料投入制御装置23は、副原料131の投入のタイミングおよび投入量を制御する。上記の酸素供給装置22および副原料投入制御装置23の動作は、いずれも、転炉吹錬制御装置30から受信される制御信号に従って実行される。 The measurement control device 20 executes various measurements regarding refining processing in the converter equipment 10 and controls refining processing. Specifically, the measurement control device 20 includes a sublance 21, an oxygen supply device 22, and an auxiliary material charging control device 23. The sub-lance 21 is inserted together with the upper blowing lance 12 from the furnace opening of the converter 11, and the measuring device provided at the tip is immersed in the molten steel 112 at a predetermined timing during the decarburization treatment, so that the carbon concentration and the phosphorus concentration can be reduced. The component concentration of the molten steel 112 containing, the temperature of the molten steel 112 (hereinafter, also referred to as molten steel temperature), and the like are measured. The measurement using the sublance 21 during blowing is referred to as an intermediate sublance measurement in this specification. The result of the sublance measurement is transmitted to the converter blowing control device 30. The oxygen supply device 22 supplies the oxygen gas 121 to the upper blowing lance 12. The flow rate of the oxygen gas 121 supplied can be adjusted. The auxiliary material charging control device 23 controls the charging of the auxiliary material 131 by the charging device 13. Specifically, the auxiliary raw material input control device 23 controls the timing and the input amount of the auxiliary raw material 131. The above-described operations of the oxygen supply device 22 and the auxiliary raw material charging control device 23 are both executed according to a control signal received from the converter blowing control device 30.

転炉吹錬制御装置30は、通信部31と、演算部32と、記憶部33と、入出力部34とを含む。通信部31は、計測制御装置20の各要素と有線または無線で通信する各種の通信装置であり、計測制御装置20において得られた測定結果を受信するとともに、計測制御装置20に制御信号を送信する。演算部32は、プログラムに従って各種の演算を実行する演算装置であり、例えばCPU(Central Processing Unit)、RAM(Random Access Memory)、およびROM(Read Only Memory)によって構成される。プログラムは、ROMまたは記憶部33に格納される。上記の転炉吹錬制御装置30において、演算部32は、プログラムに従って動作することによって、溶鋼中りん濃度予測部321、補正項算出部322および媒溶材量修正部323として機能する。記憶部33は、各種のデータを格納することが可能なストレージであり、溶銑・副原料データ331、予測実績データ332、目標データ333、およびパラメータ334が格納される。これらのデータは、例えば初期データとして格納されるのに加えて、演算部32における演算の結果に従って随時更新される。入出力部34は、ディスプレイまたはプリンタなどの出力装置と、キーボード、マウス、またはタッチパネルなどの入力装置とを含む。出力装置は、例えば、溶鋼中りん濃度予測部321によって予測された吹錬中の溶鋼中りん濃度などの値を出力する。入力装置は、例えば、媒溶材量修正部323が実行する制御に関する指示入力を取得する。 The converter blowing control device 30 includes a communication unit 31, a calculation unit 32, a storage unit 33, and an input/output unit 34. The communication unit 31 is various communication devices that communicate with each element of the measurement control device 20 in a wired or wireless manner. The communication unit 31 receives the measurement result obtained by the measurement control device 20 and transmits a control signal to the measurement control device 20. To do. The calculation unit 32 is a calculation device that executes various calculations according to a program, and includes, for example, a CPU (Central Processing Unit), a RAM (Random Access Memory), and a ROM (Read Only Memory). The program is stored in the ROM or the storage unit 33. In the converter blowing control device 30 described above, the operation unit 32 functions as a molten steel phosphorus concentration prediction unit 321, a correction term calculation unit 322, and a medium-fluid material amount correction unit 323 by operating according to a program. The storage unit 33 is a storage capable of storing various data, and stores hot metal/auxiliary raw material data 331, predicted performance data 332, target data 333, and parameters 334. These data are stored as initial data, for example, and are updated at any time according to the result of the calculation in the calculation unit 32. The input/output unit 34 includes an output device such as a display or a printer and an input device such as a keyboard, a mouse, or a touch panel. The output device outputs, for example, a value such as the phosphorus concentration in molten steel during blowing, which is predicted by the phosphorus concentration in molten steel prediction unit 321. The input device acquires, for example, an instruction input regarding the control executed by the medium-melting material amount correction unit 323.

上記の転炉吹錬制御装置30において、記憶部33に格納される溶銑・副原料データ331は、転炉11で吹錬処理される溶銑111に関する溶銑データと、転炉11に投入される副原料131に関する副原料データとを含む。溶銑データは、例えばチャージごとの初期の溶銑重量、溶銑成分(炭素、ケイ素、りん、およびマンガンなど)の濃度、溶銑温度、溶銑率などを含む。また、副原料データは、副原料131の成分やチャージごとの投入量などを含む。上述の通り、本実施形態では吹錬処理の開始前の時点で吹錬処理時の溶鋼中りん濃度の予測値を算出するため、溶銑データおよび副原料データは、新たに溶鋼中りん濃度の予測値が算出されるチャージにおける予定値を含む。予測実績データ332は、転炉11における過去の吹錬処理時の溶鋼中りん濃度の予測値および実績値を含む。目標データ333は、例えば中間サブランス測定の時点、または吹止め時などにおける溶銑111(または溶鋼112)中の成分濃度および温度などの目標値を含む。パラメータ334は、後述する溶鋼中りん濃度の予測値を算出するためのモデル式のパラメータを含む。 In the converter blowing control device 30, the hot metal/auxiliary raw material data 331 stored in the storage unit 33 is the hot metal data relating to the hot metal 111 blown in the converter 11, and the auxiliary hot metal supplied to the converter 11. And auxiliary material data regarding the material 131. The hot metal data includes, for example, the initial hot metal weight for each charge, the concentrations of hot metal components (carbon, silicon, phosphorus, manganese, etc.), hot metal temperature, hot metal ratio, and the like. In addition, the auxiliary material data includes the components of the auxiliary material 131, the input amount for each charge, and the like. As described above, in the present embodiment, since the predicted value of the phosphorus concentration in the molten steel during the blowing process is calculated before the start of the blowing process, the hot metal data and the auxiliary raw material data are newly predicted to be the phosphorus concentration in the molten steel. Contains the planned value in the charge for which the value is calculated The predicted performance data 332 includes a predicted value and a performance value of the phosphorus concentration in the molten steel during the past blowing process in the converter 11. The target data 333 includes target values such as the component concentration and temperature in the hot metal 111 (or the molten steel 112) at the time of the intermediate sublance measurement or at the time of blowing stop, for example. The parameter 334 includes a parameter of a model formula for calculating a predicted value of the phosphorus concentration in molten steel described later.

演算部32では、本実施形態における予測値算出手段である溶鋼中りん濃度予測部321が、記憶部33から読み込んだ溶銑・副原料データ331および予測実績データ332に基づいて、吹錬処理時の溶鋼中りん濃度の予測値を算出する。具体的には、溶鋼中りん濃度予測部321は、溶銑・副原料データ331を吹錬処理時の溶鋼中りん濃度に関連付ける関数に補正項を加えることによって、溶鋼中りん濃度の予測値を算出する。補正項算出部322は、後述するように、溶鋼中りん濃度の予測値の算出に用いられる補正項を状態空間モデルで表現し、この状態空間モデルに対して予測実績データに含まれる溶鋼中りん濃度の予測値と実測値との差分を観測値とするカルマンフィルタを適用することによって補正項を算出する。また、演算部32では、本実施形態における投入量修正手段である媒溶材量修正部323が、溶鋼中りん濃度予測部321によって算出された溶鋼中りん濃度の予測値に基づいて、副原料131に含まれるCaO含有副原料、具体的には生石灰などの媒溶材の投入量を、溶銑・副原料データ331に含まれる予定値からより適正な値に修正する。 In the computing unit 32, the molten steel phosphorus concentration predicting unit 321 which is the predicted value calculating unit in the present embodiment, based on the molten pig iron/sub-source material data 331 and the predicted performance data 332 read from the storage unit 33, Calculate the predicted value of phosphorus concentration in molten steel. Specifically, the molten steel phosphorus concentration predicting unit 321 calculates a predicted value of the molten steel phosphorus concentration by adding a correction term to a function that associates the molten pig iron/auxiliary raw material data 331 with the molten steel phosphorus concentration during the blowing process. To do. As will be described later, the correction term calculation unit 322 expresses the correction term used for calculating the predicted value of the phosphorus concentration in the molten steel in the state space model, and the molten steel medium phosphorus contained in the predicted performance data for this state space model. The correction term is calculated by applying a Kalman filter using the difference between the predicted concentration value and the measured value as the observed value. In addition, in the calculation unit 32, the medium-melting-material-amount correction unit 323, which is the input amount correction unit in the present embodiment, uses the auxiliary raw material 131 based on the predicted value of the phosphorus concentration in molten steel calculated by the phosphorus concentration in molten steel prediction unit 321. The amount of CaO-containing auxiliary material contained in the above, specifically, the amount of the medium-melting material such as quick lime, is corrected to a more appropriate value from the planned value included in the hot metal/auxiliary material data 331.

(工程の概要)
図2は、本発明の一実施形態に係る転炉吹錬制御方法の工程を概略的に示すフローチャートである。図示された工程は、転炉11における吹錬処理の開始前に実行される。図示された例では、まず、転炉吹錬制御装置30の溶鋼中りん濃度予測部321が、記憶部33から溶銑・副原料データ331および予測実績データ332を読み込む(ステップS11,S12)。ここで、補正項算出部322が、読み込まれた予測実績データ332に基づいて、溶鋼中りん濃度予測のための補正項を算出する(ステップS13)。次に、溶鋼中りん濃度予測部321は、算出された補正項を用いて溶鋼中りん濃度の予測値を算出する(ステップS14)。次に、媒溶材量修正部323が、目標データ333に含まれる溶鋼中りん濃度の目標値と、溶鋼中りん濃度予測部321によって算出された溶鋼中りん濃度の予測値とに基づいて媒溶材の投入量を修正する(ステップS15)。修正された投入量を含む制御信号は、通信部31を介して副原料投入制御装置23に送信される。その後、吹錬処理の初期において、修正された投入量に従って副原料投入制御装置23が副原料131として生石灰などの媒溶材を投入する。
(Outline of process)
FIG. 2 is a flowchart schematically showing steps of a converter blowing control method according to an embodiment of the present invention. The illustrated process is executed before the start of the blowing process in the converter 11. In the illustrated example, first, the molten steel phosphorus concentration predicting unit 321 of the converter blowing control device 30 reads the hot metal/auxiliary raw material data 331 and the predicted performance data 332 from the storage unit 33 (steps S11 and S12). Here, the correction term calculation unit 322 calculates a correction term for predicting the phosphorus concentration in the molten steel based on the read predicted performance data 332. (Step S13). Next, the molten steel phosphorus concentration predicting unit 321 calculates a predicted value of the molten steel phosphorus concentration using the calculated correction term (step S14). Next, the medium-melting material amount correction unit 323 determines the medium-melting material based on the target value of the phosphorus concentration in molten steel included in the target data 333 and the predicted value of the phosphorus concentration in molten steel calculated by the phosphorus concentration in molten steel prediction unit 321. The input amount of is corrected (step S15). The control signal including the corrected charging amount is transmitted to the auxiliary material charging control device 23 via the communication unit 31. After that, in the initial stage of the blowing process, the auxiliary material injection control device 23 injects a medium-soluble material such as quick lime as the auxiliary material 131 according to the corrected input amount.

図3は、図2に示された処理を実行するときのタイムチャートの一例である。図示された例では、n回目のチャージ(n=1,2,・・・)において中間サブランス測定の時点における溶鋼中りん濃度の予測値が算出され、また中間サブランス測定において溶鋼中りん濃度の実測値が取得される。n回目のチャージにおいて中間サブランス測定(ステップS21)が実行されると、溶鋼中りん濃度の実測値が取得され、n+1回目のチャージを対象として、図2に示したような一連の工程が実行可能になる。具体的には、補正項算出部322が補正項を算出し(ステップS22)、算出された補正項を用いて溶鋼中りん濃度予測部321がn+1回目のチャージにおける中間サブランス測定の時点における溶鋼中りん濃度の予測値を算出する(ステップS23)。 FIG. 3 is an example of a time chart when the processing shown in FIG. 2 is executed. In the illustrated example, the predicted value of the phosphorus concentration in the molten steel at the time of the intermediate sublance measurement at the nth charge (n=1, 2,...) Is calculated, and the phosphorus concentration in the molten steel is actually measured at the intermediate sublance measurement. The value is retrieved. When the intermediate sublance measurement (step S21) is executed in the n-th charge, the actual measurement value of the phosphorus concentration in the molten steel is acquired, and the series of steps shown in FIG. 2 can be executed for the (n+1)th charge. become. Specifically, the correction term calculating unit 322 calculates the correction term (step S22), and the phosphorus concentration predicting unit 321 in the molten steel uses the calculated correction term to determine the in-molten steel during the intermediate sublance measurement at the (n+1)th charge. A predicted value of phosphorus concentration is calculated (step S23).

次に、媒溶材量修正部323が媒溶材の投入量を修正する(ステップS24)ことによって、n+1回目のチャージにおける媒溶材の適正な投入量が設定される。一連の工程は、上記のステップS24がn+1回目のチャージにおける媒溶材の投入より前に終了するように実行されればよい。従って、図示された例ではn回目のチャージにおける中間サブランス測定(ステップS21)の直後にステップS22以降の工程が開始されているが、これらの工程はn回目のチャージの吹錬処理が終了してから開始されてもよい。あるいは、ステップS24までの工程がn回目のチャージの吹錬処理が終了する前に終了していてもよい。 Next, the medium-melting-material-amount correction unit 323 corrects the amount of the medium-melting material to be charged (step S24), thereby setting the appropriate amount of the medium-melting material in the (n+1)th charge. The series of steps may be executed so that the above step S24 is completed before the addition of the medium material in the (n+1)th charge. Therefore, in the illustrated example, the processes after step S22 are started immediately after the intermediate sublance measurement (step S21) in the nth charge, but these processes are completed after the blowing process of the nth charge is completed. May be started from. Alternatively, the processes up to step S24 may be finished before the nth charge blowing process is finished.

以下、本実施形態において溶鋼中りん濃度の予測値の算出に用いられるモデル式ならびに補正項、および予測値に基づく媒溶材投入量の適正化について、さらに具体的に説明する。 Hereinafter, the model formula and the correction term used to calculate the predicted value of the phosphorus concentration in the molten steel in this embodiment, and the optimization of the amount of the medium-melting material input based on the predicted value will be described more specifically.

(モデル式)
本実施形態では、溶鋼中りん濃度(以下、[P](%)とも表記する)の時間変化が、以下の式(1)の一次反応式で表されるものとする。なお、[P]ini(%)は[P]の初期値(溶銑中りん濃度)、k(sec−1)は脱りん速度定数を表す。
(Model formula)
In the present embodiment, the temporal change of the phosphorus concentration in molten steel (hereinafter, also referred to as [P] (%)) is represented by the primary reaction equation of the following equation (1). In addition, [P] ini (%) represents an initial value of [P] (phosphorus concentration in hot metal), and k (sec −1 ) represents a dephosphorization rate constant.

Figure 2020097768
Figure 2020097768

式(1)より、吹錬処理の開始からt秒後の[P]は、以下の式(2)で表される。ただし、脱りん速度定数kは、式(3)に示すように、例えば溶銑・副原料データ331に含まれるような操業要因Xを説明変数とする重回帰式によって表されるものとする。なお、αは回帰係数を表す。 From the equation (1), [P] after t seconds from the start of the blowing process is represented by the following equation (2). However, the dephosphorization rate constant k is assumed to be represented by a multiple regression equation with the operating factor X j included in the hot metal/sub-material data 331 as an explanatory variable, as shown in equation (3). Note that α j represents a regression coefficient.

Figure 2020097768
Figure 2020097768

上記の式(2)は、溶銑・副原料データ331を吹錬処理時の溶鋼中りん濃度[P]に関連付ける関数の例である。本実施形態では、以下の式(4)に示されるように、この関数に補正項(学習項)βを加えることによって、溶鋼中りん濃度[P]の予測値の精度を向上させる。 The above formula (2) is an example of a function that associates the hot metal/auxiliary raw material data 331 with the phosphorus concentration [P] in the molten steel during the blowing process. In the present embodiment, the accuracy of the predicted value of the phosphorus concentration in molten steel [P] is improved by adding the correction term (learning term) β p to this function as shown in the following equation (4).

Figure 2020097768
Figure 2020097768

上記で図3に示したようなチャージの継続性を考慮した場合、式(4)における補正項βは、一種の時系列データとみなすことができる。そこで、本実施形態では、時系列データのモデリング手法の1つである状態空間モデルで補正項βを表現する。状態空間モデルは、連続的であるか離散的であるか、周期的であるか否か、単変量であるか多変量であるか、定常的であるか非定常的であるかを問わず、様々な時系列データに適用できる広範な統計モデルの枠組みであり、時系列データの増減を例えばトレンド、季節変動、回帰変動などの要素に分解できるという特徴をもつ。本実施形態で扱う補正項βは非定常的であると考えられるが、上記の通り状態空間モデルを適用することが可能である。一方、他の一般的な時系列データのモデリング手法である自己回帰モデルは、解析対象のデータが定常的であることを前提としているため、非定常的であると考えられる補正項βに適用するのは容易ではない(変数変換や差分処理によって定常化する必要が生じる)。また、自己回帰モデルでは時系列データの増減を分解することが困難である。 Considering the continuity of charging as shown in FIG. 3 above, the correction term β p in the equation (4) can be regarded as a kind of time series data. Therefore, in the present embodiment, the correction term β p is expressed by a state space model, which is one of the time-series data modeling methods. State-space models can be continuous or discrete, periodic or not, univariate or multivariate, stationary or non-stationary, It is a framework of a wide range of statistical models that can be applied to various time series data, and has the feature that the increase and decrease of time series data can be decomposed into factors such as trends, seasonal fluctuations, and regression fluctuations. The correction term β p used in this embodiment is considered to be non-stationary, but the state space model can be applied as described above. On the other hand, other general time-series data modeling methods, such as autoregressive models, are applied to the correction term β p , which is considered to be non-stationary, because the data to be analyzed is assumed to be stationary. It is not easy to do (it becomes necessary to make constant by variable conversion and difference processing). In addition, it is difficult for the autoregressive model to decompose the increase and decrease in time series data.

状態空間モデルでは、状態方程式および観測方程式の2つの方程式を用いる。測定されない量(状態量)を表すのが状態方程式であり、状態量に観測誤差が加えられた観測方程式によって観測値が得られるという考え方である。状態方程式および観測方程式がいずれも線形であり、かつ観測誤差が正規分布であると仮定できる場合には、観測値の時系列データを用いて状態量を修正するカルマンフィルタというアルゴリズムが確立されている。本実施形態では、補正項βを状態量とし、過去の吹錬処理時における溶鋼中りん濃度[P]の予測値と実績値との差分を観測値(状態量に測定誤差を加えた値)としてカルマンフィルタを適用することによって補正項βを精度よく予測する。 The state space model uses two equations, a state equation and an observation equation. The state equation expresses the quantity (state quantity) that is not measured, and the idea is that the observed value is obtained by the observation equation in which the observation error is added to the state quantity. When the state equation and the observation equation are both linear and the observation error can be assumed to be a normal distribution, an algorithm called a Kalman filter that corrects the state quantity using time series data of the observation value has been established. In the present embodiment, the correction term β p is used as the state quantity, and the difference between the predicted value and the actual value of the phosphorus concentration [P] in the molten steel during the past blowing process is the observed value (value obtained by adding the measurement error to the state quantity). ), the Kalman filter is applied to accurately predict the correction term β p .

上述のように、状態空間モデルは、時系列データの増減を要素に分解できるという特徴をもつ。より具体的には、状態空間モデルの定式化では状態量という概念が用いられ、状態量にノイズを加えたものを観測値としているため、予測誤差に含まれる状態量とノイズとを区別することが可能になる。従って、本実施形態では、状態空間モデルで表現された補正項βをカルマンフィルタを用いて精度よく予測することによって、補正項βに対応する予測誤差を本質的なプロセス変動に起因する要素とノイズ要素とに分解することができる。本質的なプロセス変動に起因する要素については、当該要素の変動と具体的な操業要因の変動とを関連付けることによって、予測誤差と操業要因との関係を明確化することもできる。 As described above, the state space model has a feature that the increase/decrease in time series data can be decomposed into elements. More specifically, in the formulation of the state space model, the concept of state quantity is used, and the observation value is obtained by adding noise to the state quantity.Therefore, it is necessary to distinguish between the state quantity and noise included in the prediction error. Will be possible. Therefore, in the present embodiment, by accurately predicting the correction term β p represented by the state space model using the Kalman filter, the prediction error corresponding to the correction term β p is determined to be an element due to an essential process variation. It can be decomposed into noise elements. For elements that are caused by essential process fluctuations, the relationship between the prediction error and the operation factors can be clarified by associating the fluctuations of the elements with the specific fluctuations of the operation factors.

(カルマンフィルタの概要)
カルマンフィルタは、対象プロセスのダイナミクスが線形の状態空間モデルに従う場合に、観測値からモデル内部の状態量を逐次的に推定する手法である。本実施形態では、式(4)における補正項βの状態空間モデルが線形であると仮定しているため、カルマンフィルタの適用が可能である。カルマンフィルタは、以下の式(5)で表されるような線形ガウス状態空間モデルを対象にする。なお、xは状態量ベクトル、yは観測値ベクトル、Fは時変のn×m行列、Gは時変のn×1行列、Hは時変のn×m行列、Rはn次元ベクトル空間を表す。
(Outline of Kalman filter)
The Kalman filter is a method for sequentially estimating the state quantity inside the model from the observed value when the dynamics of the target process follows a linear state space model. In the present embodiment, it is assumed that the state space model of the correction term β p in Expression (4) is linear, and thus the Kalman filter can be applied. The Kalman filter targets a linear Gaussian state space model represented by the following equation (5). Note that x t is a state quantity vector, y t is an observation value vector, F t is a time-varying n×m matrix, G t is a time-varying n×1 matrix, H t is a time-varying n×m matrix, and R t n represents an n-dimensional vector space.

Figure 2020097768
Figure 2020097768

上記の式(5)において、vはシステムノイズ、wは観測ノイズと呼ばれる。本実施形態では、vおよびxについて、以下の式(6)のような多次元正規分布に従うものとする。なお、N(0,Q)は平均0、分散共分散行列Qの多次元正規分布、N(0,R)は平均0、分散共分散行列Rの多次元正規分布を表す。以下、Qをシステムノイズの分散共分散行列、Rを観測ノイズの分散共分散行列ともいう。 In the above equation (5), v t is called system noise and w t is called observation noise. In the present embodiment, it is assumed that v t and x t follow a multidimensional normal distribution such as the following Expression (6). Note that N(0,Q t ) represents the mean 0, the multidimensional normal distribution of the variance-covariance matrix Q t , and N(0,R t ) represents the mean 0, the multidimensional normal distribution of the variance-covariance matrix R t . Hereinafter, the variance-covariance matrix of system noise Q t, also called variance-covariance matrix of the observation noise R t.

Figure 2020097768
Figure 2020097768

カルマンフィルタのアルゴリズムでは、上記のような状態空間モデルにおいて、状態量ベクトルの推定値の初期値x0|0および状態量ベクトルの推定値の誤差分散共分散行列の初期値V0|0を与えた上で、以下で説明するような予測およびフィルタリングの手順を逐次的に繰り返す。 In the Kalman filter algorithm, the initial value x 0|0 of the estimated value of the state vector and the initial value V 0|0 of the error covariance matrix of the estimated value of the state vector are given in the above state space model. Above, the procedure of prediction and filtering as described below is sequentially repeated.

まず、予測の手順では、以下の式(7)に示されるように、時刻(t−1)における状態量ベクトルの推定値xt−1|t−1および状態量ベクトルの推定値の誤差分散共分散行列Vt−1|t−1を用いて、時刻tにおけるそれぞれの予測値xt|t−1およびVt|t−1を算出する。 First, in the procedure of prediction, as shown in the following Expression (7), the error variance of the estimated value x t−1 |t−1 of the state quantity vector and the estimated value of the state quantity vector at time (t−1) Using the covariance matrix Vt -1|t-1 , the respective predicted values xt|t-1 and Vt |t-1 at time t are calculated.

Figure 2020097768
Figure 2020097768

次に、フィルタリングの手順では、以下の式(8)に示されるように、時刻tにおける状態量ベクトルの推定値の誤差分散共分散行列の修正値Vt|tおよびカルマンゲインKを算出する。 Next, in the filtering procedure, the correction value V t |t and the Kalman gain K t of the error covariance matrix of the estimated value of the state quantity vector at time t are calculated as shown in the following equation (8). ..

Figure 2020097768
Figure 2020097768

さらに、上記の式(8)で算出されたカルマンゲインKと、時刻tにおける観測値ベクトルyとを用いて、上記の式(7)で算出された時刻tにおける状態量ベクトルの予測値xt|t−1の修正値xt|tを、以下の式(9)に示されるように算出することができる。 Furthermore, using the Kalman gain K t calculated by the above equation (8) and the observed value vector y t at the time t, the predicted value of the state quantity vector at the time t calculated by the above equation (7) x t | t-1 of the correction value x t | a t, can be calculated as shown in the following equation (9).

Figure 2020097768
Figure 2020097768

なお、上記の式(5)〜式(9)は、カルマンフィルタを利用した状態推定で利用される数式の一例である。カルマンフィルタは状態推定の手法として既に広く利用されており、利用される具体的な数式についても、上記の例には限られず様々なものが知られている。これらの他の例についても、当然に本実施形態において適用することが可能である。 The above equations (5) to (9) are examples of equations used in state estimation using the Kalman filter. The Kalman filter is already widely used as a state estimation method, and various specific mathematical expressions are known, not limited to the above example. Of course, these other examples can also be applied in the present embodiment.

(状態量をランダムウォークさせる場合)
上述のように、本実施形態では、溶鋼中りん濃度の予測値を算出するための式(4)における補正項βを状態空間モデルで表現し、この状態空間モデルに対してカルマンフィルタを適用することによって補正項βを算出する。
(When randomly walking the state quantity)
As described above, in the present embodiment, the correction term β p in the equation (4) for calculating the predicted value of the phosphorus concentration in molten steel is represented by the state space model, and the Kalman filter is applied to this state space model. Then, the correction term β p is calculated.

ここで、式(5)において、以下の式(10)のような設定を考える。 Here, in equation (5), consider the setting as in equation (10) below.

Figure 2020097768
この設定は、状態量と観測値が単変量で、状態量の状態遷移がランダムウォークに基づくことを意味している。この設定の場合、式(5)は式(11)および式(12)で表される状態空間モデルとなる。なお、xは補正項βの真の値を表す状態量であり、yは観測値である。
Figure 2020097768
This setting means that the state quantity and the observed value are univariate, and the state transition of the state quantity is based on a random walk. In this setting, the equation (5) becomes the state space model represented by the equations (11) and (12). Note that x t is a state quantity that represents the true value of the correction term β p , and y t is an observed value.

Figure 2020097768
Figure 2020097768

上記の式(11)および式(12)で表される状態空間モデルは、状態量x(補正項βの真の値)をランダムウォーク(次の時点における状態量xが確率的にランダムに決定される運動)させるもので、今回の状態量xが前回の状態量xt−1とよく似ている状況を表現している。なお、vおよびwは、過去の吹錬処理時における溶鋼中りん濃度[P]の予測値と実績値との差分を用いて、最尤法などで予め算出されている。式(11)および式(12)で表される状態空間モデルにカルマンフィルタを適用することによって、前回チャージでの観測値yt−1から今回チャージでの状態量x(補正項βの真の値)および観測値yを算出することが可能になる。 In the state space model expressed by the above equations (11) and (12), the state quantity x t (the true value of the correction term β p ) is randomly walked (the state quantity x t at the next time point is stochastically The state quantity x t of this time is very similar to the previous state quantity x t−1 . Note that v t and w t are calculated in advance by the maximum likelihood method or the like using the difference between the predicted value and the actual value of the phosphorus concentration in molten steel [P] during the past blowing process. By applying the Kalman filter to the state space model represented by the equations (11) and (12), the state quantity x t (correction term β p true) of the observed value y t−1 at the previous charge is calculated. Value) and the observed value y t can be calculated.

(回帰効果を導入して状態量を算出する場合)
さらに、補正項βが操業要因の影響を受けると考え、操業要因による回帰効果を導入して状態量x(補正項βの真の値)および観測値yを算出してもよい。この場合、上記の状態空間モデルの式(11),(12)を、以下の式(13),(14)のように書き換えることができる。ここで、X,X,Xは、いずれも操業要因に対応する変数である。具体的には、例えば、Xを溶銑温度(℃)、Xをホットリサイクルスラグ中のCaO成分濃度(%)、Xをホットリサイクルスラグ量(ton)とする。これらの変数は、いずれも操業上の知見から脱りん反応への影響が大きいことが知られている。他の例では、より多い、またはより少ない変数が用いられてもよく、また上記の例とは異なる変数が用いられてもよい。
(When introducing the regression effect to calculate the state quantity)
Furthermore, considering that the correction term β p is influenced by the operation factor, the regression effect due to the operation factor may be introduced to calculate the state quantity x t (true value of the correction term β p ) and the observed value y t. .. In this case, the above equations (11) and (12) of the state space model can be rewritten as the following equations (13) and (14). Here, X 1 , X 2 , and X 3 are all variables corresponding to operating factors. Specifically, for example, X 1 is the hot metal temperature (° C.), X 2 is the CaO component concentration (%) in the hot recycled slag, and X 3 is the hot recycled slag amount (ton). It is known from the operational knowledge that all of these variables have a great influence on the dephosphorization reaction. In other examples, more or fewer variables may be used, and different variables from the examples above may be used.

Figure 2020097768
Figure 2020097768
Figure 2020097768
Figure 2020097768

(状態空間モデルの効果)
図4〜図6は、本発明の一実施形態における状態空間モデルの使用の効果について説明するためのグラフである。それぞれのグラフにおいて、溶鋼中りん濃度[P]の予測値および実測値は、いずれも中間サブランス測定の時点における値であり、従ってSL[P]calおよびSL[P]actと記載されている。なお、SL[P]calおよびSL[P]actの値はいずれも正規化されている。図4には、ケース0として、補正項βを含まない上記の式(2)を用いて[P]を予測した場合の予測値SL[P]calと実測値SL[P]actとの関係が示されている。図5には、ケース1として、補正項βを含む上記の式(4)、および式(5)〜式(12)を用いて、補正項βを導入して[P]を予測した場合の予測値SL[P]calと実測値SL[P]actとの関係が示されている。図6には、ケース2として、状態空間モデルの式として上記の式(13),(14)を用い、操業要因による回帰効果を導入した場合の予測値SL[P]calと実測値SL[P]actとの関係が示されている。
(Effect of state space model)
4 to 6 are graphs for explaining the effect of using the state space model in the embodiment of the present invention. In each graph, the predicted value and the actual measured value of the phosphorus concentration [P] in molten steel are the values at the time of the intermediate sublance measurement, and are therefore described as SL[P]cal and SL[P]act. The values of SL[P]cal and SL[P]act are both normalized. In FIG. 4, as Case 0, the predicted value SL[P]cal and the actually measured value SL[P]act when [P] is predicted using the above equation (2) not including the correction term β p Relationships are shown. In FIG. 5, as the case 1, the correction term β p is introduced by using the above equation (4) including the correction term β p and the equations (5) to (12) to predict [P]. The relationship between the predicted value SL[P]cal and the measured value SL[P]act in the case is shown. In FIG. 6, as Case 2, the above equations (13) and (14) are used as the equations of the state space model, and the predicted value SL[P]cal and the actually measured value SL[ when the regression effect due to the operation factor is introduced are introduced. The relationship with P]act is shown.

ケース0(図4)では、予測値SL[P]calの標準偏差が0.752、実測値SL[P]actに対する誤差平均が0.362である。これに対して、ケース1(図5)では標準偏差が0.750、誤差平均が−0.076である。つまり、ケース1では、標準偏差(予測値のばらつき)を維持したまま、ケース0における予測値SL[P]calが全体として実測値SL[P]actよりも高くなる傾向が改善されている。さらに、ケース2(図6)では、標準偏差が0.744、誤差平均が−0.013になっている。つまり、ケース2では、標準偏差を維持したまま、予測値SL[P]calの分布の中心をケース1よりもさらに実測値SL[P]actに近づけることができている。 In case 0 (FIG. 4), the standard deviation of the predicted value SL[P]cal is 0.752, and the average error of the measured value SL[P]act is 0.362. On the other hand, in case 1 (FIG. 5), the standard deviation is 0.750 and the error average is −0.076. That is, in Case 1, the tendency that the predicted value SL[P]cal in Case 0 as a whole becomes higher than the actually measured value SL[P]act is improved while maintaining the standard deviation (variation of predicted values). Furthermore, in case 2 (FIG. 6), the standard deviation is 0.744 and the error average is -0.013. That is, in Case 2, the center of the distribution of the predicted value SL[P]cal can be brought closer to the measured value SL[P]act than in Case 1 while maintaining the standard deviation.

(媒溶材投入量の適正化)
上記のようにして補正項βを導入して算出された溶鋼中りん濃度[P]の予測値を用いることによって、吹錬処理の初期に投入されるCaO含有副原料、具体的には生石灰などの媒溶材の投入量を適正化することができる。既に述べたように、転炉吹錬ではスタティック制御とダイナミック制御とを組み合わせた吹錬制御が行われている。本実施形態では、スタティック制御において、予め物質収支や熱収支に基づいた数式モデルなどを用いて決定された生石灰などの媒溶材の投入量を、補正項βを含む[P]の予測値を用いて修正する。
(Adjusting the amount of solvent input)
By using the predicted value of the phosphorus concentration [P] in the molten steel, which is calculated by introducing the correction term β p as described above, the CaO-containing auxiliary raw material to be introduced in the initial stage of the blowing process, specifically quicklime It is possible to optimize the input amount of the solvent material such as. As described above, in the converter blowing, blowing control combining static control and dynamic control is performed. In the present embodiment, in static control, an input amount of a solvent material such as quick lime determined in advance using a mathematical model based on a mass balance or a heat balance is used as a predicted value of [P] including a correction term β p. Use to fix.

図7は、本実施形態における媒溶材投入量の適正化について説明するためのグラフである。図7の実線で示されているように、スタティック制御における溶銑重量あたりの媒溶材投入量(kg/ton)は、目標とする溶鋼中りん濃度(%)に応じて予め決定されている。具体的には、今回チャージにおける溶鋼中りん濃度の目標値がP(%)である場合、予め決定される媒溶材投入量はWCaO(kg/ton)である。これに対して、補正項βを導入して算出された溶鋼中りん濃度の予測値がP(%)(P<P)であった場合、媒溶材投入量WCaOを維持すると、ΔP=P−P(%)だけ過剰に脱りんが発生することになる。この場合、図7の実線で示した目標溶鋼中りん濃度と溶銑重量あたりの媒溶材投入量との関係が、破線のグラフにシフトしていると考えられる。そのため、例えば以下の式(15)に示すように、媒溶材量補正関数f(ΔP)を用いて媒溶材投入量をWCaOからW’CaOに補正する。これによって、脱りんのために必要十分な量の媒溶材を投入することができ、溶鋼中りん濃度の目標値を達成しながら、媒溶材に起因するスラグ発生量を最低限に抑制することができる。 FIG. 7 is a graph for explaining the optimization of the amount of the solvent input in the present embodiment. As indicated by the solid line in FIG. 7, the amount of the medium-melting material input (kg/ton) per weight of the hot metal in the static control is determined in advance according to the target phosphorus concentration (%) in the molten steel. Specifically, when the target value of the phosphorus concentration in the molten steel in the current charge is P 1 (%), the amount of the medium-solvent input determined in advance is W CaO (kg/ton). On the other hand, when the predicted value of the phosphorus concentration in the molten steel calculated by introducing the correction term β p is P 2 (%) (P 2 <P 1 ), the medium-fluid material input amount W CaO is maintained. , ΔP=P 1 −P 2 (%) causes excessive dephosphorization. In this case, it is considered that the relationship between the target phosphorus concentration in the molten steel and the amount of the medium-melting material input per the weight of the hot metal shown by the solid line in FIG. 7 is shifted to the broken line graph. Therefore, for example, as shown in the following formula (15), the amount of solvent admixture is corrected from W CaO to W′ CaO using the solvent adsorbent amount correction function f(ΔP). As a result, it is possible to add a sufficient amount of the medium material for dephosphorization, and to minimize the amount of slag generated due to the medium material while achieving the target value of the phosphorus concentration in the molten steel. it can.

Figure 2020097768
Figure 2020097768

上記で説明したような本発明の一実施形態では、状態量がランダムウォークすると仮定した状態空間モデルを導入しカルマンフィルタを適用して、溶鋼中りん濃度[P]の予測値を算出するための補正項βの学習を逐次実行することができる。また、回帰効果を導入した状態空間モデルにカルマンフィルタを適用することによって、補正項βに含まれる本質的なプロセス変動の影響とノイズとを区別することができる。従って、吹錬開始前の時点における溶鋼中りん濃度[P]の予測精度を向上させることができる。溶鋼中りん濃度[P]の予測精度が向上すれば、吹錬処理の初期に投入されるCaO含有副原料の投入量を適正化することができ、溶鋼中りん濃度の目標値を達成しながら、媒溶材に起因するスラグ発生量を最低限に抑制することができる。 In the embodiment of the present invention as described above, a correction for calculating the predicted value of the phosphorus concentration [P] in the molten steel by introducing the state space model assuming that the state quantity randomly walks and applying the Kalman filter. The learning of the term β p can be performed sequentially. Further, by applying the Kalman filter to the state space model in which the regression effect is introduced, it is possible to distinguish the influence of the essential process variation contained in the correction term β p from the noise. Therefore, it is possible to improve the prediction accuracy of the phosphorus concentration [P] in the molten steel before the start of blowing. If the prediction accuracy of the phosphorus concentration in molten steel [P] is improved, the amount of CaO-containing auxiliary raw material that is introduced in the initial stage of the blowing process can be optimized, and while achieving the target value of the phosphorus concentration in molten steel. The amount of slag generated due to the solvent material can be suppressed to the minimum.

以上、添付図面を参照しながら本発明の好適な実施形態について詳細に説明したが、本発明はかかる例に限定されない。本発明の属する技術の分野における通常の知識を有する者であれば、特許請求の範囲に記載された技術的思想の範疇内において、各種の変更例または修正例に想到し得ることは明らかであり、これらについても、当然に本発明の技術的範囲に属するものと了解される。 The preferred embodiments of the present invention have been described above in detail with reference to the accompanying drawings, but the present invention is not limited to these examples. It is obvious that a person having ordinary knowledge in the technical field to which the present invention pertains can come up with various changes or modifications within the scope of the technical idea described in the claims. Of course, it is understood that these also belong to the technical scope of the present invention.

1…精錬設備、10…転炉設備、11…転炉、12…上吹きランス、13…投入装置、20…計測制御装置、21…サブランス、22…酸素供給装置、23…副原料投入制御装置、30…転炉吹錬制御装置、31…通信部、32…演算部、321…溶鋼中りん濃度予測部、322…補正項算出部、323…媒溶材量修正部、33…記憶部、331…溶銑・副原料データ、332…予測実績データ、333…目標データ、334…パラメータ、34…入出力部、111…溶銑、112…溶鋼、113…スラグ、121…酸素ガス、131…副原料。 DESCRIPTION OF SYMBOLS 1... Refining equipment, 10... Converter equipment, 11... Converter, 12... Top blowing lance, 13... Input device, 20... Measurement control device, 21... Sub lance, 22... Oxygen supply device, 23... Sub raw material input control device , 30... Converter blowing control device, 31... Communication unit, 32... Computing unit, 321... Molten steel phosphorus concentration predicting unit, 322... Correction term calculating unit, 323... Medium-fluid material amount correction unit, 33... Storage unit, 331 ... hot metal/auxiliary raw material data, 332... predicted performance data, 333... target data, 334... parameter, 34... input/output section, 111... hot metal, 112... molten steel, 113... slag, 121... oxygen gas, 131... auxiliary raw material.

Claims (7)

転炉で吹錬処理される溶銑に関する溶銑データ、および前記転炉に投入される副原料に関する副原料データを前記転炉における吹錬処理時の溶鋼中りん濃度に関連付ける関数に、前記転炉における過去の吹錬処理時の溶鋼中りん濃度の予測値および実績値を含む予測実績データに基づいて学習される補正項を加えることによって前記溶鋼中りん濃度の予測値を算出する予測値算出手段と、
前記補正項を状態空間モデルで表現し、前記状態空間モデルに対して前記予測実績データに含まれる前記予測値と前記実績値との差分を観測値とするカルマンフィルタを適用することによって前記補正項を算出する補正項算出手段と
を備える転炉吹錬制御装置。
In the converter, the hot metal data relating to the hot metal blown in the converter, and the auxiliary raw material data relating to the auxiliary raw material to be fed into the converter are related to the phosphorus concentration in the molten steel during the blowing treatment in the converter. Prediction value calculating means for calculating the prediction value of the phosphorus concentration in the molten steel by adding a correction term learned based on the prediction result data including the prediction value and the actual value of the phosphorus concentration in the molten steel during the past blowing process ,
The correction term is expressed by a state space model, and the correction term is applied to the state space model by applying a Kalman filter whose observed value is the difference between the predicted value and the actual value included in the predicted actual data. A converter blowing control device comprising: a correction term calculating means for calculating.
前記予測実績データは、前記転炉における過去の吹錬処理時の中間サブランス測定の時点における溶鋼中りん濃度の予測値、および前記中間サブランス測定で取得された前記実績値を含む、請求項1に記載の転炉吹錬制御装置。 The predicted performance data includes a predicted value of the phosphorus concentration in molten steel at the time of the intermediate sublance measurement during the past blowing process in the converter, and the actual value acquired in the intermediate sublance measurement. The described converter blowing control device. 前記補正項算出手段は、前記状態空間モデルにおける状態量をランダムウォークさせる、請求項1または請求項2に記載の転炉吹錬制御装置。 The converter blowing control device according to claim 1 or 2, wherein the correction term calculation means randomly walks the state quantity in the state space model. 前記補正項算出手段は、前記状態空間モデルにおける状態量を前記吹錬処理の操業要因による回帰効果を導入することによって算出する、請求項1または請求項2に記載の転炉吹錬制御装置。 The converter blowing control device according to claim 1 or 2, wherein the correction term calculating means calculates the state quantity in the state space model by introducing a regression effect due to an operation factor of the blowing process. 前記溶鋼中りん濃度の予測値に基づいて前記副原料に含まれるCaO含有副原料の投入量を修正する投入量修正手段をさらに備える、請求項1から請求項4のいずれか1項に記載の転炉吹錬制御装置。 The injection amount correcting means for correcting the injection amount of the CaO-containing auxiliary raw material contained in the auxiliary raw material based on the predicted value of the phosphorus concentration in the molten steel, The input amount correcting means according to claim 1. Converter blowing control device. 転炉で吹錬処理される溶銑に関する溶銑データ、および前記転炉に投入される副原料に関する副原料データを前記転炉における吹錬処理時の溶鋼中りん濃度に関連付ける関数に、前記転炉における過去の吹錬処理時の溶鋼中りん濃度の予測値および実績値を含む予測実績データに基づいて学習される補正項を加えることによって前記溶鋼中りん濃度の予測値を算出する予測値算出工程と、
前記補正項を状態空間モデルで表現し、前記状態空間モデルに対して前記予測実績データに含まれる前記予測値と前記実績値との差分を観測値とするカルマンフィルタを適用することによって前記補正項を算出する補正項算出工程と
を含む、転炉吹錬制御方法。
In the converter, the hot metal data relating to the hot metal blown in the converter, and the auxiliary raw material data relating to the auxiliary raw material to be fed into the converter are related to the phosphorus concentration in the molten steel during the blowing treatment in the converter. A predicted value calculation step of calculating the predicted value of the phosphorus concentration in the molten steel by adding a correction term learned based on the predicted result data including the predicted value and the actual value of the phosphorus concentration in the molten steel during the past blowing process, and ,
The correction term is expressed by a state space model, and the correction term is applied to the state space model by applying a Kalman filter whose observed value is the difference between the predicted value and the actual value included in the predicted actual data. A converter blowing control method, which comprises a step of calculating a correction term.
転炉で吹錬処理される溶銑に関する溶銑データ、および前記転炉に投入される副原料に関する副原料データを前記転炉における吹錬処理時の溶鋼中りん濃度に関連付ける関数に、前記転炉における過去の吹錬処理時の溶鋼中りん濃度の予測値および実績値を含む予測実績データに基づいて学習される補正項を加えることによって前記溶鋼中りん濃度の予測値を算出する予測値算出手段と、
前記補正項を状態空間モデルで表現し、前記状態空間モデルに対して前記予測実績データに含まれる前記予測値と前記実績値との差分を観測値とするカルマンフィルタを適用することによって前記補正項を算出する補正項算出手段と
を備える転炉吹錬制御装置としてコンピュータを機能させるためのプログラム。
In the converter, the hot metal data relating to the hot metal blown in the converter, and the auxiliary raw material data relating to the auxiliary raw material to be fed into the converter are related to the phosphorus concentration in the molten steel during the blowing treatment in the converter. Prediction value calculating means for calculating the prediction value of the phosphorus concentration in the molten steel by adding a correction term learned based on the prediction result data including the prediction value and the actual value of the phosphorus concentration in the molten steel during the past blowing process ,
The correction term is expressed by a state space model, and the correction term is applied to the state space model by applying a Kalman filter whose observed value is the difference between the predicted value and the actual value included in the predicted actual data. A program for causing a computer to function as a converter blowing control device including a correction term calculating means for calculating.
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