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JP2018123364A - Steel plate temperature control method and steel plate temperature control device - Google Patents

Steel plate temperature control method and steel plate temperature control device Download PDF

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JP2018123364A
JP2018123364A JP2017015155A JP2017015155A JP2018123364A JP 2018123364 A JP2018123364 A JP 2018123364A JP 2017015155 A JP2017015155 A JP 2017015155A JP 2017015155 A JP2017015155 A JP 2017015155A JP 2018123364 A JP2018123364 A JP 2018123364A
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temperature
furnace
line speed
steel plate
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JP6784182B2 (en
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知義 小笠原
Tomoyoshi Ogasawara
知義 小笠原
剛毅 山田
Goki YAMADA
剛毅 山田
隆浩 ▲高▼津
隆浩 ▲高▼津
Takahiro Takatsu
西田 哲郎
Tetsuo Nishida
哲郎 西田
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JFE Steel Corp
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Abstract

【課題】ライン速度変更中における加熱炉出側板温の変動を低減させることができる鋼板の温度制御方法、及び、鋼板の温度制御装置を提供すること。【解決手段】鋼板の温度制御方法において、入側に誘導加熱装置が配置され、複数の加熱ゾーンを有する加熱炉出側における鋼板温度を測定する板温測定工程と、各加熱ゾーンの炉温を測定する炉温測定工程と、ライン速度を変更するライン速度変更工程と、ライン速度の変更開始から終了にかけて鋼板の通板方向の複数の位置に対して、各加熱ゾーンの通過時間を予測する通過時間予測工程と、予測された通過時間予測結果と、現時刻の炉温測定値とを用いて、加熱炉出側における鋼板温度の変化が生じないような誘導加熱装置の出側における鋼板温度を、板温計算モデル式を用いて算出する誘導加熱出側板温計算工程と、算出された鋼板温度となるように、誘導加熱装置の出力を変更する誘導加熱出力変更工程と、を有する。【選択図】図1An object of the present invention is to provide a temperature control method for a steel plate and a temperature control device for a steel plate that can reduce fluctuations in plate temperature on the outlet side of a heating furnace during line speed changes. [Solution] A steel plate temperature control method includes a plate temperature measurement step of measuring the steel plate temperature at the exit side of a heating furnace which has a plurality of heating zones in which an induction heating device is placed on the inlet side, and a furnace temperature of each heating zone. A furnace temperature measurement process to measure, a line speed change process to change the line speed, and a passing process to predict the passing time of each heating zone for multiple positions in the steel plate threading direction from the start to the end of changing the line speed. Using the time prediction process, the predicted passage time prediction result, and the furnace temperature measurement value at the current time, the steel plate temperature at the exit side of the induction heating device is calculated so that no change in steel plate temperature occurs at the exit side of the heating furnace. , an induction heating exit side plate temperature calculation step of calculating using a plate temperature calculation model formula, and an induction heating output changing step of changing the output of the induction heating device so as to achieve the calculated steel plate temperature. [Selection diagram] Figure 1

Description

本発明は、鋼板の温度制御方法、及び、鋼板の温度制御装置に関する。   The present invention relates to a steel plate temperature control method and a steel plate temperature control apparatus.

一般に、鋼板の連続焼鈍設備は、加熱炉、均熱炉、及び冷却炉等によって構成され、設備の入側では、板厚や板幅といったサイズや規格、焼鈍条件が異なる先行材の尾端部と後行材の先端部とを溶接して一つの鋼板として連続的に処理が行われる。ここで、加熱炉では溶接部の前後で各加熱ゾーンの炉温設定値を切り替えることにより、それぞれの焼鈍条件に適するように加熱処理することが目標である。そして最終的に、設備の出側では、鋼板はコイル単位で切断されて出荷されるか、次工程に搬送される。   In general, continuous annealing equipment for steel sheets is composed of a heating furnace, a soaking furnace, a cooling furnace, etc., and on the entry side of the equipment, the tail end of the preceding material with different sizes, standards, and annealing conditions such as plate thickness and width And the front-end | tip part of a succeeding material is welded, and a process is continuously performed as one steel plate. Here, in a heating furnace, it is a goal to heat-process so that it may suit each annealing condition by switching the furnace temperature setting value of each heating zone before and behind a welding part. Finally, on the exit side of the facility, the steel sheet is cut and shipped in units of coils or is transported to the next process.

加熱炉では、ラジアントチューブを用いた輻射加熱によって鋼板を昇温させることが一般的であるが、溶接部を境にして鋼板のサイズ等が異なる状況では、その前後で加熱条件が同じになるため鋼板の温度に変動が生じる。   In a heating furnace, it is common to raise the temperature of a steel sheet by radiant heating using a radiant tube, but in a situation where the size of the steel sheet is different at the weld, the heating conditions are the same before and after that. Variations occur in the temperature of the steel sheet.

特許文献1には、加熱炉の入側に誘導加熱装置を配置し、加熱条件を変更したときに予測した加熱炉出側板温と、ライン速度(通板速度)と、操業条件により導出する入口投入熱量残存率とによって、誘導加熱装置で加熱に必要となる鋼板温度変更量を算出し、その算出結果に基づいて、誘導加熱装置の出力を変更することにより、加熱炉出側板温の変動を低減させる鋼板の温度制御方法が開示されている。   In Patent Document 1, an induction heating device is arranged on the entrance side of the heating furnace, and the heating furnace outlet side plate temperature predicted when the heating conditions are changed, the line speed (plate passing speed), and the inlet derived from the operating conditions. By calculating the amount of steel plate temperature change required for heating with the induction heating device based on the residual rate of heat input, and changing the output of the induction heating device based on the calculation result, the fluctuation of the heating furnace outlet side plate temperature can be reduced. A method for controlling the temperature of a steel sheet to be reduced is disclosed.

特開2005−298941号公報JP 2005-298951 A

加熱条件の変更による板厚変化やガス流量変化やライン速度変化に対する、板温変化を特徴づけるパラメータである無駄時間は、ライン速度(通板速度)に依存する。この無駄時間は、板厚変化やガス流量変化やライン速度変化などの影響が板温に現れるまでの時間であるから、この間に誘導加熱装置によって加熱炉の入側における鋼板の温度を変化させても、加熱炉の出側における鋼板の温度には影響がない。   The dead time that is a parameter characterizing the plate temperature change with respect to the plate thickness change, the gas flow rate change, and the line speed change due to the change of the heating condition depends on the line speed (plate feed speed). This dead time is the time until the influence of plate thickness change, gas flow rate change, line speed change, etc. appears in the plate temperature. During this time, the temperature of the steel plate on the inlet side of the heating furnace is changed by the induction heating device. However, there is no effect on the temperature of the steel plate on the exit side of the heating furnace.

しかしながら、特許文献1に開示された鋼板の温度制御方法においては、鋼板温度変更量の算出の際に用いるライン速度として、ライン速度変更完了後の定常速度を用いているため、無駄時間が経過した後のライン速度変更中における加熱炉出側板温に大きな変動が生じてしまう。   However, in the temperature control method of the steel sheet disclosed in Patent Document 1, the dead time has elapsed since the steady speed after completion of the line speed change is used as the line speed used when calculating the steel plate temperature change amount. A large fluctuation occurs in the heating furnace outlet side plate temperature during the subsequent line speed change.

本発明は、上記課題に鑑みてなされたものであって、その目的は、ライン速度変更中における加熱炉出側板温の変動を低減させることができる鋼板の温度制御方法、及び、鋼板の温度制御装置を提供することである。   The present invention has been made in view of the above-mentioned problems, and the object thereof is a steel plate temperature control method capable of reducing fluctuations in the heating furnace outlet side plate temperature during the line speed change, and the temperature control of the steel plate. Is to provide a device.

上述した課題を解決し、目的を達成するために、本発明に係る鋼板の温度制御方法は、入側に誘導加熱装置が配置され、鋼板の通板方法に沿って配置された複数の加熱ゾーンを有する加熱炉の出側における鋼板の温度を測定する板温測定工程と、各加熱ゾーンの炉温を測定する炉温測定工程と、ライン速度変更指令に基づいてライン速度を変更するライン速度変更工程と、前記ライン速度の変更開始から変更終了にかけて前記加熱炉に装入される鋼板の通板方向位置のうち、ライン速度変更開始時点とライン速度変更終了時点との2点を少なくとも含む複数の位置に対して、各加熱ゾーンの通過時間を予測する通過時間予測工程と、前記通過時間予測工程によって予測された前記複数の位置に対する通過時間予測結果と、前記炉温測定工程によって測定された現時刻の炉温測定値とを用いて、前記加熱炉の出側における鋼板の変化が生じないような前記誘導加熱装置の出側における鋼板の温度を、前記加熱炉内における鋼板の温度を計算可能な板温計算モデル式を用いて算出する誘導加熱出側板温計算工程と、前記誘導加熱出側板温計算工程によって算出された前記誘導加熱装置の出側における鋼板の温度となるように、前記誘導加熱装置の出力を変更する誘導加熱出力変更工程と、を有することを特徴とするものである。   In order to solve the above-described problems and achieve the object, the steel sheet temperature control method according to the present invention includes a plurality of heating zones in which an induction heating device is arranged on the entry side and arranged along the sheet passing method. A plate temperature measuring step for measuring the temperature of the steel plate on the outlet side of the heating furnace, a furnace temperature measuring step for measuring the furnace temperature in each heating zone, and a line speed change for changing the line speed based on a line speed change command A plurality of steps including a line speed change start time point and a line speed change end time point among the steps in the sheet passing direction of the steel sheet charged into the heating furnace from the start of change of the line speed to the end of change. A passage time prediction step for predicting a passage time of each heating zone with respect to a position; a passage time prediction result for the plurality of positions predicted by the passage time prediction step; and a furnace temperature measurement step. The temperature of the steel plate on the exit side of the induction heating device so as not to cause a change in the steel plate on the exit side of the heating furnace is measured in the heating furnace. An induction heating outlet side plate temperature calculation step that is calculated using a plate temperature calculation model that can calculate the temperature of the steel plate, and a temperature of the steel plate on the outlet side of the induction heating device calculated by the induction heating outlet side plate temperature calculation step The induction heating output changing step for changing the output of the induction heating device is provided.

また、本発明に係る鋼板の温度制御方法は、上記の発明において、前記板温計算モデル式は、現時刻のライン速度と炉温測定値とを、該板温計算モデル式の入力として求めた鋼板温度予測値の測定値との誤差で補正していることを特徴とするものである。   Further, in the temperature control method for a steel sheet according to the present invention, in the above invention, the plate temperature calculation model formula is obtained by using the current line speed and the furnace temperature measurement value as inputs of the plate temperature calculation model formula. The correction is made with an error from the measured value of the steel plate temperature predicted value.

また、本発明に係る鋼板の温度制御装置は、入側に誘導加熱装置が配置され、鋼板の通板方法に沿って配置された複数の加熱ゾーンを有する加熱炉の出側における鋼板の温度を測定する板温測定部と、各加熱ゾーンの炉温を測定する炉温測定部と、ライン速度変更指令に基づいてライン速度を変更するライン速度変更部と、前記ライン速度の変更開始から変更終了にかけて前記加熱炉に装入される鋼板の通板方向位置のうち、ライン速度変更開始時点とライン速度変更終了時点との2点を少なくとも含む複数の位置に対して、各加熱ゾーンの通過時間を予測する通過時間予測部と、前記通過時間予測部によって求められた前記複数の位置に対する通過時間予測結果と、前記炉温測定部によって測定された現時刻の炉温測定値とを用いて、前記加熱炉の出側における鋼板の変化が生じないような前記誘導加熱装置の出側における鋼板の温度を、前記加熱炉内における鋼板の温度を計算可能な板温計算モデル式を用いて算出する誘導加熱出側板温計算部と、前記誘導加熱出側板温計算部によって算出された前記誘導加熱装置の出側における鋼板の温度となるように、前記誘導加熱装置の出力を変更する誘導加熱出力変更部と、を有することを特徴とするものである。   Moreover, the temperature control device for a steel sheet according to the present invention is configured such that the induction heating device is disposed on the entry side, and the temperature of the steel sheet on the exit side of the heating furnace having a plurality of heating zones disposed along the sheet passing method. A plate temperature measuring unit for measuring, a furnace temperature measuring unit for measuring the furnace temperature in each heating zone, a line speed changing unit for changing the line speed based on a line speed change command, and a change from the start of changing the line speed to the end of the line speed Among the plurality of positions including at least two points of the line speed change start time and the line speed change end time among the sheet passing direction positions of the steel sheet charged into the heating furnace, Using the predicted passage time prediction unit, the passage time prediction results for the plurality of positions obtained by the passage time prediction unit, and the current furnace temperature measurement value measured by the furnace temperature measurement unit, Induction to calculate the temperature of the steel plate on the exit side of the induction heating device so that the steel plate does not change on the exit side of the heating furnace using a plate temperature calculation model that can calculate the temperature of the steel plate in the heating furnace. A heating output side plate temperature calculation unit and an induction heating output change unit that changes the output of the induction heating device so as to be the temperature of the steel sheet on the output side of the induction heating device calculated by the induction heating output side plate temperature calculation unit It is characterized by having.

また、本発明に係る鋼板の温度制御装置は、上記の発明において、前記板温計算モデル式は、現時刻のライン速度と炉温測定値とを、該板温計算モデル式の入力として求めた鋼板温度予測値の測定値との誤差で補正していることを特徴とする。   In the steel sheet temperature control apparatus according to the present invention, in the above invention, the plate temperature calculation model formula is obtained as the input of the plate temperature calculation model formula at the current line speed and the furnace temperature measurement value. It is corrected by an error from the measured value of the steel plate temperature predicted value.

本発明に係る鋼板の温度制御方法、及び、鋼板の温度制御装置は、ライン速度変更中における加熱炉出側板温の変動を低減させることができるという効果を奏する。   The steel plate temperature control method and the steel plate temperature control device according to the present invention have the effect of reducing fluctuations in the heating furnace outlet side plate temperature during line speed change.

図1は、実施形態に係る鋼板の温度制御装置の構成を示すブロック図である。FIG. 1 is a block diagram illustrating a configuration of a steel sheet temperature control apparatus according to an embodiment. 図2は、第i加熱ゾーンにおける速度パターンの一例を示すグラフである。FIG. 2 is a graph showing an example of a speed pattern in the i-th heating zone. 図3は、ニュートン法による誘導加熱出側板温の収束計算フローを示す図である。FIG. 3 is a diagram showing a convergence calculation flow of the induction heating outlet side plate temperature by the Newton method. 図4は、従来法における鋼板の温度制御装置の構成を示すブロック図である。FIG. 4 is a block diagram showing a configuration of a steel sheet temperature control device in a conventional method. 図5(a)は、本発明法と従来法とにおけるライン速度を示すグラフである。図5(b)は、本発明法と従来法とにおける誘導加熱出側板温を示すグラフである。図5(c)は、本発明法と従来法とにおける加熱炉出側温度を示すグラフである。FIG. 5A is a graph showing the line speed in the method of the present invention and the conventional method. FIG.5 (b) is a graph which shows the induction heating exit side plate | board temperature in this invention method and the conventional method. FIG.5 (c) is a graph which shows the heating furnace exit side temperature in this invention method and the conventional method.

以下に、本発明に係る鋼板の温度制御方法、及び、鋼板の温度制御装置の一実施形態について説明する。なお、本実施形態により本発明が限定されるものではない。   Hereinafter, an embodiment of a temperature control method for a steel sheet and a temperature control apparatus for a steel sheet according to the present invention will be described. In addition, this invention is not limited by this embodiment.

図1は、実施形態に係る鋼板の温度制御装置1の構成を示すブロック図である。図1に示すように、実施形態に係る鋼板の温度制御装置1は、鋼板の通板方向に沿って配置されたN(≧1)個(本実施形態では第1加熱ゾーン〜第5加熱ゾーンの5個)の加熱ゾーンを有する加熱炉と、加熱炉入側に設けられた誘導加熱装置2と、を具備した連続焼鈍設備における鋼板の温度を制御する装置である。なお、図1においては、5個の加熱ゾーンを有する加熱炉を例示しているが、1個以上の加熱ゾーンを有する加熱炉であれば、本発明は適用可能である。   FIG. 1 is a block diagram illustrating a configuration of a steel sheet temperature control apparatus 1 according to the embodiment. As shown in FIG. 1, the steel sheet temperature control apparatus 1 according to the embodiment includes N (≧ 1) pieces (in the present embodiment, the first heating zone to the fifth heating zone) arranged along the plate passing direction of the steel plate. 5) of the heating furnace and the induction heating apparatus 2 provided on the heating furnace entrance side, the apparatus controls the temperature of the steel sheet in the continuous annealing equipment. 1 illustrates a heating furnace having five heating zones, the present invention can be applied to any heating furnace having one or more heating zones.

鋼板の温度制御装置1は、板温測定部11、ライン速度変更部12、炉温測定部13、通過時間予測部14、誘導加熱出側板温計算部15、及び、誘導加熱出力変更部16などを主な構成要素として備えている。   The steel plate temperature control device 1 includes a plate temperature measuring unit 11, a line speed changing unit 12, a furnace temperature measuring unit 13, a passage time predicting unit 14, an induction heating outlet side plate temperature calculating unit 15, an induction heating output changing unit 16, and the like. As a main component.

ここで、加熱炉における昇温モデル式について説明する。加熱炉における鋼板温度の昇温計算は、数式(1)の方程式に従って計算できる。なお、数値計算上、下記(1)式は、適当な時間ステップΔtで離散化して差分計算することになる。下記(1)式中、ρは鋼板の比熱[kcal/kg/K]、Cは鋼板の比重[kg/m3]、hは鋼板の板厚[m]、Tsは鋼板の温度[℃]、Twは炉温[℃]、φcgは総括熱伝達係数[−]、σはステファンボルツマン定数(=1.3565e-11[kcal/s/m2/K4]、tは時間[s]を示している。 Here, the temperature rise model formula in the heating furnace will be described. The temperature increase calculation of the steel sheet temperature in the heating furnace can be calculated according to the equation (1). In numerical calculation, the following equation (1) is discretized at an appropriate time step Δt and the difference is calculated. In the following formula (1), ρ is the specific heat of the steel plate [kcal / kg / K], C is the specific gravity of the steel plate [kg / m 3 ], h is the thickness of the steel plate [m], and T s is the temperature of the steel plate [° C. ], T w is the furnace temperature [° C.], φ cg is the overall heat transfer coefficient [−], σ is the Stefan Boltzmann constant (= 1.3565e −11 [kcal / s / m 2 / K 4 ], and t is the time [ s].

Figure 2018123364
Figure 2018123364

そして、複数の加熱ゾーンを有する加熱炉では、加熱ゾーン毎の炉温を設定することによって、加熱炉入側から加熱炉出側にかけての板温を計算することができる。ここで、初期板温は、加熱ゾーン入側での温度を設定すれば良い。   And in the heating furnace which has a some heating zone, the plate | board temperature from a heating furnace entrance side to a heating furnace exit side can be calculated by setting the furnace temperature for every heating zone. Here, the initial plate temperature may be set to the temperature at the heating zone entry side.

ライン速度変更部12は、プロセスコンピュータ3から出力されたライン速度変更指令を受信してライン速度を変更する。同様に、通過時間予測部14は、ライン速度変更部12へのライン速度変更指令タイミングで、プロセスコンピュータ3から出力されたライン速度変更指令を受信する。そして、通過時間予測部14は、下記の手順1〜手順5により、ライン速度変更部12によるライン速度の変更開始から変更終了にかけて、加熱炉に装入される鋼板の通板方向位置(長手位置)のうち、ライン速度変更開始時点とライン速度変更終了時点との2点を少なくとも含む複数の位置に対して、各加熱ゾーンの通過時間を予測する。また、説明上、通過時間の予測対象となる前記複数の位置は、ライン速度の変更開始から変更終了にかけて等間隔にN点とした。   The line speed change unit 12 receives the line speed change command output from the process computer 3 and changes the line speed. Similarly, the passage time prediction unit 14 receives the line speed change command output from the process computer 3 at the line speed change command timing to the line speed change unit 12. And the passage time prediction unit 14 follows the following procedure 1 to procedure 5 from the start of the change of the line speed by the line speed change unit 12 to the end of the change in the sheet passing direction position (longitudinal position) of the steel sheet charged in the heating furnace. ), The passage time of each heating zone is predicted for a plurality of positions including at least two points of the line speed change start time and the line speed change end time. Further, for the sake of explanation, the plurality of positions to be predicted for the passage time are N points at equal intervals from the start of change of the line speed to the end of change.

まず、手順1として、下記(2)式を用いて加減速開始から加減速完了までの時間tacc[s]を求める。なお、下記(2)式中、αは加速率[m/s2]、dVは速度変更量[m/s]を示している。 First, as procedure 1, the time t acc [s] from the start of acceleration / deceleration to the completion of acceleration / deceleration is obtained using the following equation (2). In the following equation (2), α represents the acceleration rate [m / s 2 ], and dV represents the speed change amount [m / s].

Figure 2018123364
Figure 2018123364

なお、以下の手順2〜手順5では、k=0,1,2,・・・Nに対して計算を行う。   In the following procedure 2 to procedure 5, calculation is performed for k = 0, 1, 2,...

次に、手順2として、下記(3)式を用いて、k=1,2,・・・Nにおける誘導加熱計算用初期速度V0(k)[m/s]、を求める。なお、下記(3)式中、V0は加減速前速度[m/s]、Nは誘導加熱計算分割数[−]を示している。 Next, as procedure 2, the following initial speed V 0 (k) [m / s] for induction heating calculation at k = 1, 2,. In the following equation (3), V 0 represents the speed before acceleration / deceleration [m / s], and N represents the induction heating calculation division number [−].

Figure 2018123364
Figure 2018123364

次に、手順3として、下記(4)式を用いて、k番目の鋼板位置における加減速開始から加減速完了までの距離である加減速距離l(k)[m]を求める。   Next, as the procedure 3, the following equation (4) is used to obtain an acceleration / deceleration distance l (k) [m] that is a distance from the acceleration / deceleration start to the acceleration / deceleration completion at the k-th steel plate position.

Figure 2018123364
Figure 2018123364

次に、手順4として、第i加熱ゾーン入側速度と最終加熱ゾーン出側速度とを求める。   Next, as procedure 4, an i-th heating zone entry speed and a final heating zone exit speed are obtained.

まず、k番目の鋼板位置における第1加熱ゾーンの入側速度V(1,k)[m/s]は、下記(5)式により求まる。   First, the entry side velocity V (1, k) [m / s] of the first heating zone at the k-th steel plate position is obtained by the following equation (5).

Figure 2018123364
Figure 2018123364

次に、k番目の鋼板位置における第i加熱ゾーン(2≦i≦5)の入側速度V(i,k)[m/s]は、加減速中と加減速完了後とに分けて求める。なお、下記(6)式〜下記(8)式中、Lz(j)は、各加熱ゾーンの通板方向における設備長である区間距離(j=1〜5)を示している。 Next, the entry side speed V (i, k) [m / s] of the i-th heating zone (2 ≦ i ≦ 5) at the k-th steel plate position is obtained separately during acceleration / deceleration and after completion of acceleration / deceleration. . In addition, in the following formula (6) to the following formula (8), L z (j) indicates a section distance (j = 1 to 5) which is the equipment length in the sheet passing direction of each heating zone.

まず、下記(6)式の関係を満たすライン速度の加減速中における第i加熱ゾーン(2≦i≦5)の入側速度V(i,k)[m/s]は、下記(7)式により求まる。   First, the entry side speed V (i, k) [m / s] of the i-th heating zone (2 ≦ i ≦ 5) during the acceleration / deceleration of the line speed satisfying the relationship of the following expression (6) is expressed by the following (7). It is obtained by the formula.

Figure 2018123364
Figure 2018123364

Figure 2018123364
Figure 2018123364

一方、下記(8)式の関係を満たすライン速度の加減速完了後における第i加熱ゾーン(2≦i≦5)の入側速度V(i,k)は、下記(9)式により求まる。   On the other hand, the entry side speed V (i, k) of the i-th heating zone (2 ≦ i ≦ 5) after completion of acceleration / deceleration of the line speed satisfying the relationship of the following expression (8) is obtained by the following expression (9).

Figure 2018123364
Figure 2018123364

Figure 2018123364
Figure 2018123364

そして、最終加熱ゾーン出側速度(第5加熱ゾーン出側速度)は、ライン速度の加速減完了後における第i加熱ゾーン(2≦i≦5)の入側速度V(i,k)と同じであることから、上記(9)式により求まる。   The final heating zone exit side speed (fifth heating zone exit speed) is the same as the entry side speed V (i, k) of the i-th heating zone (2 ≦ i ≦ 5) after completion of acceleration reduction of the line speed. Therefore, it is obtained by the above equation (9).

次に、手順5として、第i加熱ゾーンの通過時間を求める。   Next, as procedure 5, the passage time of the i-th heating zone is obtained.

図2は、第i加熱ゾーンにおける速度パターンの一例を示すグラフである。図2に示すような第i加熱ゾーンにおける速度パターンにおいて、k番目の鋼板位置が、第i加熱ゾーンを通過する通過時間t(i,k)[s]を求めることを考える。この通過時間t(i,k)[s]は、第i加熱ゾーン内における加速時間t1と一定速度時間t2との和によって求めることができる。なお、手順4において、第i加熱ゾーン入側速度と最終加熱ゾーン出側速度とが求められていることに注意して計算する。 FIG. 2 is a graph showing an example of a speed pattern in the i-th heating zone. In the speed pattern in the i-th heating zone as shown in FIG. 2, it is considered that the k-th steel plate position obtains a transit time t (i, k) [s] that passes through the i-th heating zone. This passage time t (i, k) [s] can be obtained by the sum of the acceleration time t 1 and the constant speed time t 2 in the i-th heating zone. It should be noted that the calculation is performed while paying attention that the i-th heating zone entry speed and the final heating zone exit speed are obtained in the procedure 4.

まず、図2に示す第i加熱ゾーン内における加速時間t1[s]の区間の距離である加速距離x1[m]は、下記(10)式により求まる。 First, the acceleration distance x 1 [m], which is the distance of the acceleration time t 1 [s] in the i-th heating zone shown in FIG. 2, is obtained by the following equation (10).

Figure 2018123364
Figure 2018123364

次に、図2に示す第i加熱ゾーン内における一定速度時間t2[s]の区間の距離である一定速度距離x2[m]は、下記(11)式により求まる。 Next, the constant speed distance x 2 [m], which is the distance of the constant speed time t 2 [s] in the i-th heating zone shown in FIG. 2, is obtained by the following equation (11).

Figure 2018123364
Figure 2018123364

ここで、加熱炉内における第i加熱ゾーン(1≦i≦5)の区間距離Lz(i)は、上述したように各加熱ゾーンの通板方向における設備長から与えられており、下記(12)式により一定速度時間t2[s]が求まる。 Here, the section distance L z (i) of the i-th heating zone (1 ≦ i ≦ 5) in the heating furnace is given from the equipment length in the sheet passing direction of each heating zone, as described above. The constant speed time t 2 [s] is obtained from the equation (12).

なお、本実施形態においては、第i加熱ゾーン(1≦i≦5)の区間距離Lz(i)が、第1加熱ゾーンの区間距離Lz(1)=20.4[m]、第2加熱ゾーンの区間距離Lz(2)=5.1[m]、第3加熱ゾーンの区間距離Lz(3)=5.1[m]、第4加熱ゾーンの区間距離Lz(4)=5.1[m]、第5加熱ゾーンの区間距離Lz(5)=5.1[m]として与えられている。 In the present embodiment, the section distance L z (i) of the i-th heating zone (1 ≦ i ≦ 5) is the section distance L z (1) = 20.4 [m] of the first heating zone, Section distance L z (2) = 5.1 [m] of the second heating zone, section distance L z (3) = 5.1 [m] of the third heating zone, section distance L z (4 of the fourth heating zone ) = 5.1 [m], and the section distance L z (5) of the fifth heating zone is given as 5.1 [m].

Figure 2018123364
Figure 2018123364

また、加速時間t1[s]は、下記(13)式により求まる。 Further, the acceleration time t 1 [s] is obtained by the following equation (13).

Figure 2018123364
Figure 2018123364

このようにして求めた、第i加熱ゾーンにおける加速時間t1[s]と一定速度時間t2[s]との和から、第i加熱ゾーン通過時間t(i,k)[s]が求まる。 The i-th heating zone passage time t (i, k) [s] is obtained from the sum of the acceleration time t 1 [s] and the constant speed time t 2 [s] in the i-th heating zone. .

続いて、誘導加熱出側板温計算部15について説明する。誘導加熱出側板温計算部15は、加熱炉出側で板温変動が最小となる誘導加熱装置出側における板温を求めるものである。板温測定部11は、ライン速度変更指令タイミングで加熱炉出側における板温を測定し、その測定した板温の値を誘導加熱出側板温計算部15に伝送する。また、炉温測定部13は、ライン速度変更指令タイミングにおいて、加熱炉内の各加熱ゾーンの炉温の実績値を測定し、その測定した実績値を誘導加熱出側板温計算部15に伝送する。また、誘導加熱出側板温計算部15は、通過時間予測部14から各加熱ゾーンの通過時間の予測結果も受信する。   Next, the induction heating outlet side plate temperature calculation unit 15 will be described. The induction heating outlet side plate temperature calculation part 15 calculates | requires the plate | board temperature in the induction heating apparatus exit side from which a board temperature fluctuation | variation becomes the minimum on the heating furnace exit side. The plate temperature measuring unit 11 measures the plate temperature on the heating furnace exit side at the line speed change command timing, and transmits the measured plate temperature value to the induction heating exit side plate temperature calculating unit 15. Moreover, the furnace temperature measurement part 13 measures the actual value of the furnace temperature of each heating zone in a heating furnace in line speed change command timing, and transmits the measured actual value to the induction heating exit side plate temperature calculation part 15. . Further, the induction heating outlet side plate temperature calculation unit 15 also receives the prediction result of the passage time of each heating zone from the passage time prediction unit 14.

ここで、k番目の鋼板位置における加熱炉出側板温計算値を、T0=f(TIH,t(i,k),TW(i),ρ,C,H,φCG,σ)で表す。関数fは、数式(1)に基づく昇温モデル式である。また、TIHは、誘導加熱出側板温(板温計算の初期値)である。また、TW(i)は、各加熱ゾーンの炉温測定値(炉温測定部13による測定値)である。 Here, the heating furnace outlet side plate temperature calculation value at the k-th steel plate position is T 0 = f (T IH , t (i, k), T W (i), ρ, C, H, φ CG , σ). Represented by The function f is a temperature increase model formula based on the formula (1). T IH is the induction heating outlet side plate temperature (initial value of plate temperature calculation). T W (i) is a furnace temperature measurement value (measurement value by the furnace temperature measurement unit 13) of each heating zone.

図3は、ニュートン法による誘導加熱出側板温の収束計算フローを示す図である。誘導加熱出側板温計算部15は、図3に示すニュートン法により、加熱炉出側板温計算値T0が出側板温目標値Taimに対して誤差ε[℃]以内になるよう収束計算を行って、誘導加熱出側板温の計算値を求める。 FIG. 3 is a diagram showing a convergence calculation flow of the induction heating outlet side plate temperature by the Newton method. The induction heating outlet side plate temperature calculation unit 15 performs convergence calculation so that the heating furnace outlet side plate temperature calculated value T 0 is within an error ε [° C.] with respect to the outlet side plate temperature target value T aim by the Newton method shown in FIG. Go to find the calculated value of the induction heating outlet side plate temperature.

すなわち、誘導加熱出側板温計算部15によるニュートン法による誘導加熱出側板温の収束計算では、まず、収束計算の回数を示す変数「Loop」に「1」を代入し(S1)、誘導加熱出側温度を示す変数「TIH」に誘導加熱出側温度の初期値「TIH0」を代入する(S2)。次に、誘導加熱出側板温計算部15は、加熱炉出側板温計算値T0を算出するとともに、変数「Loop」に「Loop+1」を代入する(S3)。そして、誘導加熱出側板温計算部15は、加熱炉出側板温計算値T0が出側板温目標値Taimに対して誤差ε[℃]以内であるか、変数「Loop」が予め設定されたn回を超えたかを判断する(S4)。なお、出側板温目標値Taimとしては、板温測定部11による測定値でも良いし、加速前のライン速度から求めた加熱炉出側板温計算値でも良い。 That is, in the convergence calculation of the induction heating outlet side plate temperature by the Newton method by the induction heating outlet side plate temperature calculation unit 15, first, “1” is substituted into the variable “Loop” indicating the number of convergence calculations (S 1). The initial value “T IH0 ” of the induction heating outlet side temperature is substituted into the variable “T IH ” indicating the side temperature (S2). Next, the induction heating outlet side plate temperature calculation unit 15 calculates the heating furnace outlet side plate temperature calculation value T 0 and assigns “Loop + 1” to the variable “Loop” (S3). The induction heating outlet side plate temperature calculation unit 15 determines whether the heating furnace outlet side plate temperature calculated value T 0 is within an error ε [° C.] with respect to the outlet side plate temperature target value T aim or a variable “Loop” is set in advance. It is determined whether it has exceeded n times (S4). Note that the delivery side plate temperature target value T aim may be a measurement value obtained by the plate temperature measurement unit 11 or a heating furnace delivery side plate temperature calculation value obtained from a line speed before acceleration.

加熱炉出側板温計算値T0が出側板温目標値Taimに対して誤差ε[℃]以内でない、または、変数「Loop」が予め設定されたn回を超えていないと、誘導加熱出側板温計算部15が判断したら(S4でNo)、誘導加熱出側板温計算部15は、ニュートン法によって加熱炉出側板温計算値T0が出側板温目標値Taimに対して誤差ε[℃]以内になるよう収束計算を行う(S5)。そして、加熱炉出側板温計算値T0が出側板温目標値Taimに対して誤差ε[℃]以内に収束するか、変数「Loop」が予め設定されたn回を超えたと、誘導加熱出側板温計算部15が判断したら(S4でYes)、誘導加熱出側板温計算部15はニュートン法による誘導加熱出側板温の収束計算を終了する。 If the heating furnace outlet side plate temperature calculation value T 0 is not within the error ε [° C.] with respect to the outlet side plate temperature target value T aim , or if the variable “Loop” does not exceed the preset n times, induction heating output When the side plate temperature calculation unit 15 determines (No in S4), the induction heating delivery side temperature calculation section 15, the error ε to the heating furnace delivery side temperature calculated value T 0 is delivery side temperature target value T aim by Newton's method [ Convergence calculation is performed so as to be within [° C] (S5). When the heating furnace outlet side plate temperature calculation value T 0 converges within the error ε [° C.] with respect to the outlet side plate temperature target value T aim or when the variable “Loop” exceeds a preset n times, induction heating is performed. When the delivery side plate temperature calculation unit 15 determines (Yes in S4), the induction heating delivery side plate temperature calculation unit 15 ends the convergence calculation of the induction heating delivery side plate temperature by the Newton method.

そして、そのときの収束計算における誘導加熱出側板温の計算値を、誘導加熱出側板温計算部15から誘導加熱出力変更部16に伝送し、誘導加熱出力変更部16が誘導加熱装置2の出力を変更する。なお、誘導加熱出側板温計算部15における板温計算モデル式は、現時刻のライン速度と炉温測定値とを、板温計算モデル式の入力として求めた板温予測値の測定値との誤差で補正してもよい。   Then, the calculated value of the induction heating outlet side plate temperature in the convergence calculation at that time is transmitted from the induction heating outlet side plate temperature calculation unit 15 to the induction heating output change unit 16, and the induction heating output change unit 16 outputs the output of the induction heating device 2. To change. In addition, the plate temperature calculation model formula in the induction heating outlet side plate temperature calculation unit 15 is the measured value of the predicted plate temperature obtained by using the current line speed and the measured furnace temperature as the input of the plate temperature calculation model formula. You may correct with an error.

[実施例]
本発明法(実施形態に係る鋼板の温度制御方法)の有効性をシミュレーションにより検証した。なお、各加熱ゾーンの設定値を以下の表1に示し、鋼板の設定値を以下の表2に示す。また、速度変更量dVとして、0.05[m/s]、加速率αは、8.3333e-4[m/s2]とする。そして、設計パラメータである誘導加熱計算分割数Nは5とした。
[Example]
The effectiveness of the method of the present invention (the temperature control method for a steel sheet according to the embodiment) was verified by simulation. In addition, the set value of each heating zone is shown in the following Table 1, and the set value of the steel sheet is shown in the following Table 2. The speed change amount dV is 0.05 [m / s], and the acceleration rate α is 8.3333e −4 [m / s 2 ]. And the induction heating calculation division number N which is a design parameter was set to 5.

Figure 2018123364
Figure 2018123364

Figure 2018123364
Figure 2018123364

また、図1に示す鋼板の温度制御装置1を用いた本発明法との比較のために、従来法における鋼板の温度制御装置の構成を示すブロック図を図4に示す。図4に示すように、従来法における鋼板の温度制御装置100は、鋼板の通板方向に沿って配置された5個の加熱ゾーン(第1加熱ゾーン〜第5加熱ゾーン)を有する加熱炉と、加熱炉入側に設けられた誘導加熱装置102と、を具備した連続焼鈍設備における鋼板の温度を制御する装置である。従来法における鋼板の温度制御装置100は、板温測定部111、ライン速度変更部112、炉温測定部113、誘導加熱出側板温計算部115、及び、誘導加熱出力変更部116などを主な構成要素として備えている。一方、従来法における鋼板の温度制御装置100は、本発明法における鋼板の温度制御装置1が備える通過時間予測部14に相当するものを備えていない。そのため、誘導加熱出側板温計算部115では、ライン速度の加減速途中の状態を考慮せず、ライン速度変更完了速度を用いて、加熱炉出側板温の変動を低減できる誘導加熱出側板温を求めるものとする。なお、ライン速度変更部103及び誘導加熱出側板温計算部115には、プロセスコンピュータ103からライン速度変更指令が出力される。   For comparison with the method of the present invention using the steel sheet temperature control apparatus 1 shown in FIG. 1, a block diagram showing the structure of the steel sheet temperature control apparatus in the conventional method is shown in FIG. As shown in FIG. 4, a temperature control apparatus 100 for a steel plate in a conventional method includes a heating furnace having five heating zones (first heating zone to fifth heating zone) arranged along the plate passing direction of the steel plate. The apparatus for controlling the temperature of the steel sheet in the continuous annealing equipment provided with an induction heating device 102 provided on the heating furnace entrance side. The steel plate temperature control apparatus 100 in the conventional method mainly includes a plate temperature measuring unit 111, a line speed changing unit 112, a furnace temperature measuring unit 113, an induction heating outlet side plate temperature calculating unit 115, an induction heating output changing unit 116, and the like. It is provided as a component. On the other hand, the steel sheet temperature control device 100 according to the conventional method does not include a device corresponding to the transit time prediction unit 14 provided in the steel plate temperature control device 1 according to the present invention. Therefore, the induction heating outlet side plate temperature calculation unit 115 does not consider the state during the acceleration / deceleration of the line speed, and uses the line speed change completion speed to calculate the induction heating outlet side plate temperature that can reduce fluctuations in the heating furnace outlet side plate temperature. Suppose you want. A line speed change command is output from the process computer 103 to the line speed changing unit 103 and the induction heating outlet side plate temperature calculating unit 115.

図5(a)は、本発明法と従来法とにおけるライン速度を示すグラフである。図5(b)は、本発明法と従来法とにおける誘導加熱出側板温を示すグラフである。図5(c)は、本発明法と従来法とにおける加熱炉出側温度を示すグラフである。   FIG. 5A is a graph showing the line speed in the method of the present invention and the conventional method. FIG.5 (b) is a graph which shows the induction heating exit side plate | board temperature in this invention method and the conventional method. FIG.5 (c) is a graph which shows the heating furnace exit side temperature in this invention method and the conventional method.

図5(a)に示すように、ライン速度は本発明法と従来法とで同じように変更にさせており、ライン速度の変更が65[s]あたりで完了している。図5(b)において、従来法では、ライン速度変更完了後の定常速度を用いて、誘導加熱出側板温を設定するのに対して、本発明法では、ライン速度の加減速中と加減速完了後との速度予測に基づいて、複数の鋼板位置における誘導加熱出側板温を設定している。   As shown in FIG. 5A, the line speed is changed in the same way between the method of the present invention and the conventional method, and the change of the line speed is completed around 65 [s]. In FIG. 5B, in the conventional method, the induction heating outlet side plate temperature is set using the steady speed after completion of the line speed change, whereas in the method of the present invention, the acceleration / deceleration during the acceleration / deceleration of the line speed is performed. Based on the speed prediction after completion, induction heating outlet side plate temperatures at a plurality of steel plate positions are set.

本発明法と従来法とにおいては、図5(c)に示すように、45[s]あたりまで無駄時間が存在している。そして、本発明法では、無駄時間が経過した直後から、加熱炉出側板温が目標値に収束している。一方、従来法では、100[s]を経過しても加熱炉出側板温が目標値に収束しておらず、本発明法のほうが従来法よりも加熱炉出側板温の収束性が良いことがわかる。このように、本発明法においては、従来法よりも、無駄時間が経過した後のライン速度変更中における加熱炉出側板温の変動を低減させることができる。   In the method of the present invention and the conventional method, as shown in FIG. 5C, there is a dead time up to around 45 [s]. In the method of the present invention, the heating furnace outlet side plate temperature converges to the target value immediately after the dead time has elapsed. On the other hand, in the conventional method, the heating furnace outlet side plate temperature does not converge to the target value even after 100 [s], and the method of the present invention has better convergence of the heating furnace outlet side plate temperature than the conventional method. I understand. As described above, in the method of the present invention, the fluctuation of the heating furnace outlet side plate temperature during the line speed change after the dead time has elapsed can be reduced as compared with the conventional method.

1 温度制御装置
2 誘導加熱装置
3 プロセスコンピュータ
11 板温測定部
12 ライン速度変更部
13 炉温測定部
14 通過時間予測部
15 誘導加熱出側板温計算部
16 誘導加熱出力変更部
DESCRIPTION OF SYMBOLS 1 Temperature control apparatus 2 Induction heating apparatus 3 Process computer 11 Plate temperature measurement part 12 Line speed change part 13 Furnace temperature measurement part 14 Passing time prediction part 15 Induction heating exit side plate temperature calculation part 16 Induction heating output change part

Claims (4)

入側に誘導加熱装置が配置され、鋼板の通板方法に沿って配置された複数の加熱ゾーンを有する加熱炉の出側における鋼板の温度を測定する板温測定工程と、
各加熱ゾーンの炉温を測定する炉温測定工程と、
ライン速度変更指令に基づいてライン速度を変更するライン速度変更工程と、
前記ライン速度の変更開始から変更終了にかけて前記加熱炉に装入される鋼板の通板方向位置のうち、ライン速度変更開始時点とライン速度変更終了時点との2点を少なくとも含む複数の位置に対して、各加熱ゾーンの通過時間を予測する通過時間予測工程と、
前記通過時間予測工程によって予測された前記複数の位置に対する通過時間予測結果と、前記炉温測定工程によって測定された現時刻の炉温測定値とを用いて、前記加熱炉の出側における鋼板の変化が生じないような前記誘導加熱装置の出側における鋼板の温度を、前記加熱炉内における鋼板の温度を計算可能な板温計算モデル式を用いて算出する誘導加熱出側板温計算工程と、
前記誘導加熱出側板温計算工程によって算出された前記誘導加熱装置の出側における鋼板の温度となるように、前記誘導加熱装置の出力を変更する誘導加熱出力変更工程と、
を有することを特徴とする鋼板の温度制御方法。
A plate temperature measuring step in which an induction heating device is arranged on the entry side and measures the temperature of the steel plate on the exit side of the heating furnace having a plurality of heating zones arranged along the sheet passing method;
A furnace temperature measuring step for measuring the furnace temperature of each heating zone;
A line speed changing step for changing the line speed based on the line speed changing command;
Among a plurality of positions including at least two points of a line speed change start time and a line speed change end time among the sheet passing direction positions of the steel sheet charged into the heating furnace from the start of change of the line speed to the end of change. A passing time prediction step for predicting the passing time of each heating zone,
Using the passing time prediction result for the plurality of positions predicted by the passing time prediction step and the current temperature furnace temperature measurement value measured by the furnace temperature measurement step, the steel sheet on the outlet side of the heating furnace An induction heating outlet side plate temperature calculation step for calculating the temperature of the steel plate on the outlet side of the induction heating apparatus so that no change occurs, using a plate temperature calculation model formula capable of calculating the temperature of the steel plate in the heating furnace,
An induction heating output changing step of changing the output of the induction heating device so as to be the temperature of the steel plate on the outlet side of the induction heating device calculated by the induction heating outlet side plate temperature calculation step;
A temperature control method for a steel sheet, comprising:
請求項1に記載の鋼板の温度制御方法において、
前記板温計算モデル式は、現時刻のライン速度と炉温測定値とを、該板温計算モデル式の入力として求めた鋼板温度予測値の測定値との誤差で補正していることを特徴とする鋼板の温度制御方法。
In the temperature control method of the steel plate according to claim 1,
The plate temperature calculation model formula is characterized in that the line speed and the furnace temperature measurement value at the current time are corrected with an error from the measurement value of the steel plate temperature prediction value obtained as an input of the plate temperature calculation model formula. A method for controlling the temperature of a steel sheet.
入側に誘導加熱装置が配置され、鋼板の通板方法に沿って配置された複数の加熱ゾーンを有する加熱炉の出側における鋼板の温度を測定する板温測定部と、
各加熱ゾーンの炉温を測定する炉温測定部と、
ライン速度変更指令に基づいてライン速度を変更するライン速度変更部と、
前記ライン速度の変更開始から変更終了にかけて前記加熱炉に装入される鋼板の通板方向位置のうち、ライン速度変更開始時点とライン速度変更終了時点との2点を少なくとも含む複数の位置に対して、各加熱ゾーンの通過時間を予測する通過時間予測部と、
前記通過時間予測部によって求められた前記複数の位置に対する通過時間予測結果と、前記炉温測定部によって測定された現時刻の炉温測定値とを用いて、前記加熱炉の出側における鋼板の変化が生じないような前記誘導加熱装置の出側における鋼板の温度を、前記加熱炉内における鋼板の温度を計算可能な板温計算モデル式を用いて算出する誘導加熱出側板温計算部と、
前記誘導加熱出側板温計算部によって算出された前記誘導加熱装置の出側における鋼板の温度となるように、前記誘導加熱装置の出力を変更する誘導加熱出力変更部と、
を有することを特徴とする鋼板の温度制御装置。
An induction heating device is arranged on the entry side, and a plate temperature measurement unit for measuring the temperature of the steel plate on the exit side of the heating furnace having a plurality of heating zones arranged along the sheet passing method,
A furnace temperature measuring unit for measuring the furnace temperature of each heating zone;
A line speed change unit for changing the line speed based on the line speed change command;
Among a plurality of positions including at least two points of a line speed change start time and a line speed change end time among the sheet passing direction positions of the steel sheet charged into the heating furnace from the start of change of the line speed to the end of change. A transit time prediction unit for predicting the transit time of each heating zone,
Using the passing time prediction results for the plurality of positions determined by the passing time prediction unit and the current furnace temperature measurement value measured by the furnace temperature measurement unit, the steel sheet on the outlet side of the heating furnace An induction heating outlet side plate temperature calculation unit that calculates the temperature of the steel plate on the outlet side of the induction heating apparatus so that no change occurs, using a plate temperature calculation model that can calculate the temperature of the steel plate in the heating furnace,
An induction heating output changing unit for changing the output of the induction heating device so as to be the temperature of the steel plate on the outlet side of the induction heating device calculated by the induction heating outlet side plate temperature calculation unit;
A temperature control device for a steel sheet, comprising:
請求項3に記載の鋼板の温度制御装置において、
前記板温計算モデル式は、現時刻のライン速度と炉温測定値とを、該板温計算モデル式の入力として求めた鋼板温度予測値の測定値との誤差で補正していることを特徴とする鋼板の温度制御装置。
In the temperature control apparatus of the steel plate of Claim 3,
The plate temperature calculation model formula is characterized in that the line speed and the furnace temperature measurement value at the current time are corrected with an error from the measurement value of the steel plate temperature prediction value obtained as an input of the plate temperature calculation model formula. A steel sheet temperature control device.
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