KR20170013990A - Secondary cooling control method for continuous casting machine and secondary cooling control device - Google Patents
Secondary cooling control method for continuous casting machine and secondary cooling control device Download PDFInfo
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- KR20170013990A KR20170013990A KR1020177000272A KR20177000272A KR20170013990A KR 20170013990 A KR20170013990 A KR 20170013990A KR 1020177000272 A KR1020177000272 A KR 1020177000272A KR 20177000272 A KR20177000272 A KR 20177000272A KR 20170013990 A KR20170013990 A KR 20170013990A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/16—Controlling or regulating processes or operations
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/12—Accessories for subsequent treating or working cast stock in situ
- B22D11/124—Accessories for subsequent treating or working cast stock in situ for cooling
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/16—Controlling or regulating processes or operations
- B22D11/22—Controlling or regulating processes or operations for cooling cast stock or mould
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/16—Controlling or regulating processes or operations
- B22D11/22—Controlling or regulating processes or operations for cooling cast stock or mould
- B22D11/225—Controlling or regulating processes or operations for cooling cast stock or mould for secondary cooling
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Abstract
The main object of the present invention is to provide a secondary cooling control method of a continuous casting machine capable of raising the precision in controlling the surface temperature of the entire cast steel to a predetermined target temperature. The present invention relates to a casting material casting method comprising a casting surface temperature measuring step, a casting speed grasping step, a tracking surface setting step, a casting target temperature setting step, a temperature solidity rate estimating step, a heat transfer coefficient estimating step, A future prediction surface setting step, a future prediction step, a future temperature influence coefficient predicting step, a casting surface reference temperature calculating step, an optimization problem coefficient matrix calculating step, an optimization problem solving step, and a cooling water changing step , The cooling water quantity changing process for each cooling zone is repeatedly performed in the cooling water quantity changing process so that while each tracking surface is moved to the cooling zone outlet of the secondary cooling control object at an arbitrary time during casting, The surface temperature of the cast steel at the predicted plane position is controlled to the target value of the surface temperature of the cast steel determined in the casting target temperature setting step.
Description
The present invention relates to a secondary cooling control method and a secondary cooling control device for a continuous casting machine which control surface temperature distribution in a casting direction or a width direction of a part or all of casting in a secondary cooling stand of a continuous casting machine.
In the continuous casting of steel, for example, in a vertical bending type continuous casting machine, a casting drawn out from a vertical casting mold is curved once and then drawn at a predetermined curvature radius, and thereafter the casting is taken out as a cast with no bending in the calendering portion , And cut. However, in the bent portion of the strand (the "set of the mold + the secondary cooling group + the pulling device having the roller group"), the lower surface of the cast steel, Tensile stress is applied. Therefore, when the temperature of the surface of the cast steel is in a range called the embrittling range, surface cracks sometimes called horizontal cracks may occur. Therefore, it is necessary to appropriately set the cooling water distribution so that the temperature of the surface of the slab avoids the above-mentioned embrittling zone in the bent portion and the bridge portion of the strand. The proper setting of the cooling water distribution can be achieved, for example, by setting the cooling zone quantity distribution to an appropriate value by simulation or the like in advance when the casting speed is constant.
However, when the arrival of the next ladle in the performance is delayed, it is necessary to change the casting speed during operation so as to lower the casting speed lower than a predetermined value and to wait for arrival so as not to interrupt the casting period. At this time, in the conventional cascade quantity control for interpolating and setting each zone quantity set for the casting speed in advance with respect to the casting speed during the change, the cooling history with respect to the time from the casting mold face of the casting mold to the cutting is disturbed, The quality of the cast steel such as the lateral crack of the surface occurs.
In addition, the relationship between the cooling water quantity and the heat transfer coefficient of the surface may change from the assumption in the pre-simulation due to the influence of the scale attachment on the surface of the cast steel. Even in this case, the surface temperature of the cast steel may enter the embrittling zone, and horizontal cracks may occur.
To solve such a problem, a control method based on so-called model predictive control has been disclosed. For example,
In the method of calculating the feedforward amount disclosed in
SUMMARY OF THE INVENTION It is therefore an object of the present invention to provide a secondary cooling control method and secondary cooling control device for a continuous casting machine capable of increasing the precision in controlling the surface temperature of the entire cast steel to a predetermined target temperature.
A first aspect of the present invention is characterized in that a secondary cooling stand for cooling a cast steel withdrawn from a mold of a continuous casting machine is divided into a plurality of cooling zones in the casting direction of the cast steel, The method comprising the steps of measuring a surface temperature of a cast steel at a predetermined temperature measuring point in a strand during casting of the cast steel and measuring a casting speed of the continuous casting machine Which is a target for calculating the temperature in the cross section of the cast steel, the surface temperature of the cast steel, and the solid phase distribution of the cast steel, from the casting mold bath surface position to the cooling zone exit of the secondary cooling control object In the track surface, a step of setting a target value of the surface temperature of the cast steel at a predetermined interval, The temperature in the casting direction and the temperature in the casting section perpendicular to the casting direction can be controlled by the electrothermal solidification model based on the heat transfer equation every time the tracking surface advances by a predetermined interval in the casting direction of the casting by progressing the casting, The surface temperature and the solid phase distribution of the cast steel are calculated and updated, and the heat transfer coefficient of the surface of the cast steel used in the electrothermal solidification model is calculated using the casting conditions including the cooling water The parameters for the casting conditions in the electrothermal solidification model are calculated by using the difference between the transfer coefficient estimation process, the surface temperature of the cast steel measured in the casting surface temperature measurement process, and the surface temperature estimated from the temperature solidification rate estimation process A heat transfer solidification model parameter correcting step of correcting the heat transfer solidification model parameters, A future predicted surface setting step of setting a surface temperature of the cast steel at a future time, a temperature in the section perpendicular to the casting direction, and a future predicted surface for predicting the solidification rate distribution of the cast steel at regular intervals in the machine direction, , It is assumed that the casting speed does not change from the current time while the arbitrary future predicted plane moves from the current time to the future predicted plane position adjacent to the downstream side by progressing the casting, The surface temperature of the cast steel at the time of reaching the position, the temperature in the cross section perpendicular to the casting direction, and the solid phase distribution of the cast steel are repeatedly predicted using the electrothermal solidification model for each interval used in the future predicted surface setting process A prediction step of updating an arbitrary future prediction plane from a current time to a future prediction Assuming that the casting speed does not change from the current time every time when the number of cooling zones in each cooling zone changes to a staircase function, , The surface temperature of the cast steel at each tracking surface position is predicted and the deviation of the predicted surface temperature of the cast steel and the surface temperature predicted by the future prediction process is found and the variation A target value of the surface temperature of the cast steel set in the casting target temperature setting step and a target value of the surface temperature set in the casting target temperature setting step, Which is a value between predicted values of the surface temperature of the cast steel at the time when the surface temperature reaches the surface position, And the number of cooling zones of each cooling zone at the current time is used as a determination variable. In each of the future prediction process and the future temperature influence coefficient prediction process, The future temperature influence coefficient at each future predicted surface position and the deviation between the reference target temperature calculated in the casting surface reference temperature calculation step and the surface temperature predicted in the future prediction step are calculated, An optimization problem coefficient matrix calculating step of calculating a coefficient matrix for a decision variable in the secondary planning problem as a secondary planning problem of an optimization problem that minimizes a sum of the calculated deviations, By solving the numerical problems, the optimization problem pool which obtains the optimal value at the current time of the change amount of cooling water changing in step function form This process and a cooling water amount changing step for changing the cooling water amount by adding the optimum value to the cooling water amount of the current cooling zone are repeated and the cooling water amount is changed in the cooling water amount changing step, The surface temperature of the cast steel at the future predicted plane position of the future predicted plane is set to a target value of the surface temperature of the cast steel determined in the casting target temperature setting step In the second cooling control method of the continuous casting machine.
The second aspect of the present invention is characterized in that a secondary cooling stand for cooling a cast steel withdrawn from a mold of a continuous casting machine is divided into a plurality of cooling zones in the casting direction of the cast steel, A casting surface temperature measuring section for measuring the surface temperature of the cast steel at a predetermined temperature measuring point in the strand during casting of the cast steel; And a tracking surface which is a target for calculating a solidification rate distribution of the cast steel from an area of the casting mold surface to a cooling zone exit of at least a secondary cooling control object, A target surface temperature setting unit for setting a target value of the surface temperature of the cast steel on the tracking surface, Sectional temperature perpendicular to the casting direction of the cast steel, the surface temperature of the cast steel, and the temperature of the cast steel, which are perpendicular to the casting direction, by the electrothermal solidification model based on the heat transfer equation every time the casting progresses, And a heat transfer coefficient estimating unit for calculating a heat transfer coefficient of the surface of the cast steel used in the electrothermal solidification model by using casting conditions including cooling water, And a heat transfer coagulation step of modifying the parameters for the casting condition in the electrothermal solidification model by using the difference between the surface temperature of the casting measured by the casting surface temperature measuring part and the surface temperature estimated by the temperature solidification rate estimating part, The model parameter correcting section and the set of tracking surfaces set in the tracking surface setting section, at predetermined intervals in the predetermined casting direction, A future predicted surface setting section for setting the surface temperature of the cast steel in the casting direction, the temperature in the section perpendicular to the casting direction, and the future predicted surface for predicting the solidification rate distribution of the cast steel, It is assumed that the casting speed does not change from the current time while the predicted plane advances from the current time to the future predicted plane position adjacent to the downstream side, A future predictor for repeatedly predicting and updating the temperature, the temperature in the cross section perpendicular to the casting direction, and the solidification rate distribution of the cast steel at intervals used in the future predicted surface setting section by using the electrothermal solidification model; As a result, every time the arbitrary future prediction plane advances from the current time to the future prediction plane position adjacent to the downstream side, the casting speed becomes the current time And the cooling water of each cooling zone is changed in a stair-step function form on the assumption that the cooling water does not change from the upstream side to the downstream side, The temperature is predicted and a deviation of the predicted surface temperature of the cast steel and the surface temperature predicted by the future predicting unit is obtained and the variation influence coefficient for the cooling water which changes in a stair- The target value of the surface temperature of the cast steel set by the cast target temperature setting unit and the target value of the surface temperature at the time when the future predicted surface reached the future predicted surface position predicted by the future temperature influence coefficient predictor, A casting surface reference temperature calculating unit for calculating a reference target temperature determined in accordance with time which is a value between predicted values of the surface temperature; A future temperature influence coefficient at each future predicted surface position passed by each future predicted surface in each of the future predictor and the future temperature influence coefficient predictor, The deviation between the reference target temperature calculated by the slab surface reference temperature calculating section and the surface temperature estimated by the future predicting section is calculated and the sum of the deviations calculated on the respective future prediction surfaces is minimized, An optimization problem coefficient matrix calculating unit for calculating a coefficient matrix for a decision variable in the secondary planning problem; and a control unit for calculating a coefficient matrix The optimization problem solving unit which obtains an optimal value of the amount of cooling water at the present time and the optimum value is added to the cooling water quantity of the current cooling zone, And the cooling water quantity changing unit repeats the change of the cooling water quantity so that during the movement of each tracking surface to the cooling zone outlet of the secondary cooling control target at an arbitrary time during casting, Of the surface temperature of the cast steel at the future predicted plane position to the target value of the surface temperature of the cast steel determined by the cast target temperature setting unit is a secondary cooling control apparatus of the continuous casting machine.
According to the present invention, it is possible to provide a secondary cooling control method and a secondary cooling control device for a continuous casting machine, which can control the surface temperature of the entire cast steel so as to always coincide with a predetermined target temperature. As a result, it is possible to control the surface temperature of the bending segment or the calibrated segment of the continuous casting machine to avoid the embrittlement in steel even when the casting speed is changed during casting at any casting speed. Therefore, according to the present invention, it is possible to produce a cast slab free from defects due to surface flaws.
Fig. 1 is a view for explaining the
Fig. 2 is a view showing an example of the dividing and lattice points of the section of the slab perpendicular to the casting direction.
3 is a view for explaining the cooling control method of the present invention.
4 is a diagram for explaining the relationship between the position of the tracking surface for evaluating the surface temperature and the relative time for predicting the temperature while the respective future prediction planes move to the future prediction plane position adjacent to the downstream side thereof.
5 is a block diagram for explaining the relationship between the units provided in the
Fig. 6A is a graph showing the relationship between the temperature and the surface temperature at the central portion in the widthwise direction of the strip at each cooling zone outlet when the cooling control method of the present invention is applied when the casting speed is lowered. Fig.
Fig. 6B is a diagram showing the results of the relationship between the cooling water amount and time in each cooling zone when the cooling control method of the present invention is applied when the casting speed is lowered. Fig.
Fig. 6C is a diagram showing the results of the relationship between the temperature and the surface temperature at the central portion in the widthwise direction of the slab at each cooling zone outlet when the cooling control method of the present invention is applied when the casting speed is lowered.
Fig. 6D is a diagram showing the results of the relationship between the cooling water amount and the time in each cooling zone when the cooling control method of the present invention is applied when the casting speed is lowered. Fig.
Fig. 6E is a diagram showing the results of the relationship between the casting speed and time when the cooling control method of the present invention is applied when the casting speed is lowered. Fig.
Fig. 7A is a graph showing the relationship between the temperature and the time at the central portion in the widthwise direction of the slab at each cooling zone outlet when the conventional cascade quantity control is applied when the casting speed is lowered. Fig.
Fig. 7B is a diagram showing the results of the relationship between the cooling water quantity and the time in each cooling zone when the conventional cascade quantity control is applied when the casting speed is lowered. Fig.
Fig. 7C is a diagram showing the results of the relationship between the temperature and the surface temperature at the central portion in the widthwise direction of the slab at each cooling zone outlet when the conventional cascade quantity control is applied when the casting speed is lowered.
Fig. 7D is a diagram showing the results of the relationship between the cooling water quantity and the time in each cooling zone when the conventional cascade quantity control is applied when the casting speed is lowered. Fig.
Fig. 7E is a diagram showing the relationship between the casting speed and the time when the conventional cascade quantity control is applied when the casting speed is lowered. Fig.
8A is a graph showing the relationship between the actual value of the surface temperature of the cast steel and the target temperature and the actual temperature of the cast steel surface when the surface temperature is controlled by controlling the cooling water by the cooling control method of the present invention when the exit target temperature of the third cooling zone is changed during casting. Time relationship in the case of the present invention.
8B is a graph showing the relationship between the cooling water amount and the time in the case where the surface temperature is controlled by controlling the cooling water amount by the cooling control method of the present invention when the outlet target temperature of the third cooling zone is changed during casting Fig.
8C is a graph showing the relationship between the casting speed and the time in the case where the surface temperature is controlled by regulating the cooling water by the cooling control method of the present invention when the outlet target temperature of the third cooling zone is changed during casting Fig.
9A is a graph showing the relation between the actual value of the surface temperature of the cast steel and the target temperature and the actual temperature of the cast steel when the steel surface temperature is controlled by controlling the cooling water amount by the cooling control method of the present invention in the case where the spray heat- Time relationship in the case of the present invention.
FIG. 9B is a graph showing the relationship between the cooling water amount and the time in the case where the surface temperature of the slab is controlled by controlling the cooling water amount by the cooling control method of the present invention in the case where the spray heat transfer coefficient of the fourth cooling zone is lowered Fig.
9C is a graph showing the relationship between the casting speed and the time in the case where the surface temperature of the cast steel is controlled by controlling the amount of cooling water by the cooling control method of the present invention when the spray heat transfer coefficient of the fourth cooling zone is lowered Fig.
Hereinafter, an embodiment of the present invention will be described. The embodiments described below are illustrative of the present invention, and the present invention is not limited to the embodiments described below.
1 shows a
In the
The distribution of the temperature and the solid phase rate of the cast steel 5 in the strand is set so that the cross section perpendicular to the cast steel 5 is set at a calculation point provided at regular intervals in the casting direction from the hot- Is calculated by deducting the thermal conductivity equation obtained by discretizing the temperature and the solid phase distribution within the boundary condition of the heat transfer coefficient reflecting the cooling condition at each calculation point. In the initial condition of the heat conduction equation, the calculation result of the temperature and the solid phase ratio of the cross section adjacent to the upstream side of the cross section existing at the calculation object position is set. The temperature and the solidification rate of the entire cast steel can be calculated by repeating the calculation from the calculation point adjacent to the upstream side to the target calculation position until the cross section is moved by the cast steel withdrawal.
For the discretization of the heat conduction equation, for example, a two-dimensional model of the orthogonal grid shown in Fig. 2 is used. The temperature T ij at each lattice point (i, j), the enthalpy per unit mass H ij , and the solidification rate per unit mass f ij are used as variables and the physical constants at each lattice point (i, j) , taking into account the temperature dependence is shown by a density ρ ij, C ij specific heat, and thermal conductivity λ ij. At this time, the relationship between the enthalpy H ij , the temperature T ij , and the solid phase rate f ij is expressed by Equation (1).
The time variation of the distribution of enthalpy H ij and solid phase fraction f ij of the section drawn from the casting direction position z to z + Δz during the time unit Δt can be calculated from the discretized heat conduction equations (2), (4), (7) (3) and the boundary condition equations (5), (6), (8), and (9). In the following expression, the superscript z indicates the position in the casting direction, and the position of the mold surface is defined as z = 0. The time unit DELTA t in the heat conduction equation is converted into DELTA t = DELTA z / v (t-1) using the section setting unit DELTA z in the casting direction and the casting speed v (t-1) at time t-1 . Heat generation from the surface of the cast steel is set reflecting the boundary conditions in consideration of cooling by the cooling water sprayed toward the cast steel 5, contact with the roll, and difference in cooling method by the cross-sectional position in the casting direction. Here, the heat transfer coefficient K x or K y is represented by a linear expression of the difference between the external temperature T E and the surface temperature T ij z shown in the formulas (5) and (8) .
In the formula (2), q i +1/2, j z is, a grid point (i + 1, j) from the lattice point (i, j) of the product width direction of the casting position to the z-1 And the inside of the slab width direction is denoted by i = 2, ... , I is represented by the following equation (4). Hereinafter, the strip width direction may be simply referred to as " width direction ".
L ij in the above formula (1) is the coagulation latent heat λ i +1/2, j = (λ i + 1 , j + λ ij ) / 2 at the lattice point (i, j). The distance to the equation (2), Δx i is a lattice point (i-1/2, j ) from lattice point (i + 1/2, j ) in the, Δy i in the formula (2) Is the distance from the lattice point (i, j-1/2) to the lattice point (i, j + 1/2). The width boundary condition is expressed by the following equation (5) using the heat transfer coefficient K x at the casting direction position z-1 and the external representative temperature T E when the short side surface is i = 1.
In addition, assuming i = I + 1 on the center line in the width direction, a symmetric boundary condition expressed by the following equation (6) is assumed on the center line in the width direction.
In the above equation (2), q z i , j + 1/2 is a heat flow rate from the lattice point (i, j) in the thickness direction to the lattice point (i, j + 1) J = 2, ... , J, it is expressed by the following formula (7).
Further, the λ i, j + 1/2 = (λ i, j + 1 + λ ij) / 2. In the above formula (7),? Y is the distance from the lattice point (i, j) to the lattice point (i, j + 1). The thickness direction boundary condition is expressed by the following equation (8) by using the heat transfer coefficient K y at the casting direction position z-1 and the external representative temperature T E when j = 1 on the long side surface.
Further, assuming that the thickness center line is j = J + 1, a symmetric boundary condition expressed by the following equation (9) is assumed on the center line in the thickness direction.
If after calculating the enthalpy H ij z + Δz in the casting position z + Δz, completely liquid phase of the f ij z + Δz = 0 or completely of f ij z + Δz = 1 in the solid state, the above formula (1) To obtain the temperature T ij z +? Z. If the other hand, 0 <f ij z + Δz <1, the temperature T ij z + Δz is represented by the state diagram which is defined as the solute concentration in the liquid phase, the liquidus temperature T L (C k) (C k is the solute component k ≪ / RTI > concentration). Since the solute concentration in the liquid phase depends on the solid phase rate as is known from Scheil's equation and the like, the model expressed by the following equation (10) is used and the equation (10) and the equation As a solution, find f ij z + Δz and T ij z + Δz .
When the heat flux flowing out from the surface of the cast steel, in which the cooling water sprayed from the mist spray 2 collides, is expressed by the following equation (11), the heat transfer coefficient k is obtained by the following equation (12).
Here, T s is the surface temperature [° C], D w is the surface water density [l / m 2 ], ν a is the mist spray air flow rate [m / s], and α, β, γ and c are constants .
The cooling
3, the cooling control method of the present invention includes a casting surface temperature measurement step S1, a casting speed grasp step S2, a tracking surface setting step S3, a cast target temperature setting step S4 The heat transfer coefficient model parameter correcting step S7, the future predicted surface setting step S8, the future prediction step S9, the heat transfer coefficient estimating step S7, The optimization problem solving step S12, the optimization problem solving step S13, the cooling water changing step S14, the cooling water amount changing step S11, ).
The casting surface temperature measuring step (hereinafter sometimes referred to as " S1 " in some cases) is a step of measuring the casting surface temperature at a temperature measuring point on the surface of the casting slab in a predetermined strand, .
(Casting speed) of the
The tracking plane setting step (hereinafter referred to as " S3 " in some cases) is a step of setting the tracking plane, which is the target for calculating the temperature in the section of the billet, the surface temperature of the billet and the solid phase distribution, Is set at a predetermined interval in an area up to the outlet of the cooling zone of the vehicle cooling control object.
The casting target temperature setting step (hereinafter also referred to as " S4 " in some cases) is a step of determining a target value of the casting surface temperature on the tracking surface set in S3.
(Hereinafter sometimes referred to as " S5 " in some cases) is determined based on the heat transfer equation every time the tracking surface defined in S3 advances by a predetermined interval in the casting direction of the cast steel, , The temperature in the section of the billet perpendicular to the casting direction, the surface temperature of the billet, and the solidification rate distribution are calculated and updated by the electrothermal solidification model.
In S5, the amount of change of the temperature and the solidus temperature distribution from the previous control cycle in a vertical section set at regular intervals in the casting direction of the cast steel is expressed by the heat conduction equation considering the transformation heat when the steel coagulates .
More specifically, assuming that the current time is t, the above equations (2) to (10) are regarded as relational expressions between the time t-1 and the time t, The temperature and the solidification rate distribution of the cross section at each calculation point up to the exit of the cooling zone of the controlled object are calculated.
The heat transfer coefficient estimating process (hereinafter referred to as " S6 " in some cases) is a method of calculating the heat transfer coefficient (the heat transfer coefficient expressed by the above formulas (5) ) Using the casting conditions such as the estimated value of the electro-thermal solidification model parameter at the current time t and the cooling water amount at time t-1.
(Hereinafter referred to as " S7 " in some cases) is calculated by using the difference between the surface temperature of the cast steel measured in S1 and the cast steel surface temperature estimated in S5, And correcting the parameters for the casting conditions in the casting condition.
Modification of the parameters for the casting conditions in the electrothermal solidification model is carried out by using a value obtained by multiplying the error between the surface temperature of the cast steel measured in S1 and the estimated value of the cast steel surface temperature estimated in S5 by the correction coefficient, , And adding it to the parameters for the casting conditions in the electrothermal solidification model. When there are many measurement points of the surface temperature of the cast steel (hereinafter sometimes referred to as " side temperature point " or " temperature side temperature position "), the correction coefficient is represented by a matrix or a vector. The correction coefficient used for the correction of the parameters for the casting condition in the electrothermal solidification model is obtained in the following procedure for each parameter of the estimation target. The "parameters for the casting conditions in the electrothermal solidification model" refers to, for example, the coefficients c, temperature indexes α, β, γ and the like on the right side of the model equation (11) .
1) For the parameter to be calibrated, set the value slightly changed from the current value.
2) a predetermined date back to the time Ta from the current, the position that the current time t temperature detecting section is a time t-Ta in the position z k according to z k (t-Ta) cross-section of, the temperature and the high sangryul in my The distribution is taken as the initial value. Then, a history of the cooling conditions from the position z k (t-Ta) at the time t-Ta to the temperature-measuring position z k at the current time t is given, and the calculation of the above-mentioned expressions (2) By repeating this process, the temperature estimate value at the side temperature point is calculated when the parameter is slightly changed at the current time t. The retraction time range Ta may be limited to a range in which the correction object parameter affects the state of the cross section at the temperature measurement position z k .
3) A linear relationship expressing the relationship of the amount of temperature change with respect to each parameter correction amount is obtained in the following order.
If when the parameter θ l change Δθ l by, with respect to the surface temperature Tk (t) estimated in S5, the surface temperature estimate calculated in the second) has changed to T k + ΔT kl, ΔTk l is the following formula ( 13).
The estimated value of A a kl in the equation (13) is expressed by the following equation (14).
In addition, A a kl to k line l write that the matrix of column component A a, the temperature change estimation combined effect on the surface temperature of the, side onjeom by the total corrected target parameter, Δθ l for the l component = ?? 1 ?? 2 ?? Δθ l] using the T, A is represented by a Δθ.
Be optimal parameter correction amount vector lists the deviation φ a k (t) of a temperature measurement value T a k (t) and T k (t) of each side onjeom, represented by the following formula (15) φ a (t) Is determined such that the temperature change A a ?? by the post-correction parameter is best approximated in consideration of the numerical calculation error and the unevenness of the data.
That is, when ΔA a is a matrix representing the error of each component of the gain matrix A a ,
Is obtained. Where <x> represents the expected value of the variable x.
The minimum value of J can be solved analytically, and the parameter correction amount ?? (t) that minimizes J is expressed by the following equation (17).
However, < DELTA A > = 0 is set. Comprising a gain matrix <ΔA aT ΔA a> is, assuming that the correlation is 0 for each component of the gain matrix, becomes expressed in a matrix of diagonal elements in the same position the distribution of the diagonal component ΔA a ii, respectively, knowledge, such as process In advance.
The parameter correction amount ?? (t) obtained as described above is added to the current parameter
Is used to calculate the control manipulated variable after the next rotational time.
The future predicted surface setting process (hereinafter referred to as " S8 " in some cases) is a process in which, in the set of the tracking planes set in S3, at a constant interval in the predetermined casting direction, The temperature in the cross section and the future prediction plane for predicting the solid phase distribution.
In the future prediction process (hereinafter referred to as " S9 " in some cases), as the casting progresses, the arbitrary future prediction plane set in S8 moves from the current time to the future prediction plane position adjacent to the downstream side , The casting surface temperature at the time when each future predicted surface set at S8 reaches the future predicted surface position adjacent to the downstream side, the temperature in the section of the billet, and the solidification rate The distribution is repeatedly predicted and renewed at intervals determined in S8 (heat transfer calculation intervals) using the above-described heat and solidification model. In S9, using the casting speed at the current time, the cooling quantity of each cooling zone, and the values of the parameters of the electrothermal solidification model modified in S7, the surface temperature of the steel strip, the temperature in the steel strip cross section, Predict. The initial value of the predictive calculation uses the values of the surface temperature, the temperature in the cross section, and the solid phase distribution of each future temperature predictive surface at the current time t obtained in S5. The " future predicted plane position " is the position of the future predicted plane set in S8.
4 illustrates the relationship between the position of the tracking surface for evaluating the surface temperature and the relative time for predicting the temperature while the respective future prediction planes set in S8 are moved to the future prediction plane position adjacent to the downstream side FIG. Hereinafter, the position of the tracking surface may be referred to as " tracking surface position ". In Fig. 4, the surface temperature is predicted at the time indicated by "& cir &". The slope of the oblique straight line connecting a plurality of "" shown in Fig. 4 corresponds to the casting speed v (t) at the current time t. In S9, the predicted casting surface temperature at the tracking plane position z i of the future predicted plane i is set as the future predicted temperature T pred ij .
In the future temperature influence coefficient predicting process (hereinafter, sometimes referred to as " S10 "), as the casting progresses, the future predicted surface set in S8 extends from the current time to the future predicted surface position adjacent to the downstream side When the cooling rate of each cooling zone changes stepwise on the assumption that the casting speed does not change from the current time every time it advances, when each future prediction plane reaches a future predicted plane position adjacent to its downstream side And the difference between the predicted casting surface temperature and the casting surface temperature predicted at S9 is obtained and the difference between the cooling water amount changing in the step function type (Hereinafter also referred to as " future temperature influence coefficient ").
In S10, when each cooling quantity q k (t) is changed stepwise by Δq k at the current time t with respect to each cooling zone k, the future prediction plane i is set to the future prediction plane when in comes to a position z j of the slab surface temperature relationship of the deviation ΔT k ij (t) = T k ij -T pred ij k and Δq between the predicted T k ij, and with T pred ij calculated in S9
And the coefficient M k ij when it is expressed as a future temperature influence coefficient. In S10, a surface temperature change gain matrix M i in which future temperature influence coefficients M k ij are arranged in j rows and k columns is calculated for each future prediction surface.
The casting surface reference temperature calculating step (hereinafter sometimes referred to as " S11 " in some cases) is a step in which the target value of the casting surface temperature set in S4 and the target value (A temperature gradually approaching the target value of the bobbin surface temperature set in S4 every time the prediction calculation of S10 is repeated, which is a value between predicted values of the surface temperature of the billet at the time point) .
In S11, for example, the reference target temperature T ref ij at the temperature evaluation point z j of the cross section at the entrance of the i-th cooling zone at the current time is expressed by the following formula (20) The temperature between the temperature T pred ij and the target temperature T tgt j can be defined as a temperature for internally dividing by the exponential function of the time t ij . S11 can be a step of obtaining a reference target temperature trajectory T ref ij (t) represented by a function of time.
Here, Tr is a time constant corresponding to a predetermined attenuation parameter.
The optimization problem coefficient matrix calculation step (hereinafter referred to as " S12 " in some cases) calculates the number of cooling zones of each cooling zone at the current time t as a determination variable. In each of S9 and S10, A future temperature influence coefficient at each future predicted surface position at which the predicted surface has passed, a deviation between the reference target temperature and the specimen surface future predicted temperature, and an optimization for minimizing the sum of the calculated future deviation predicted surfaces This is a step of calculating the coefficient matrix for the decision variable in this secondary planning problem as the secondary planning problem in question.
In S12, the weighted sum of squares of the difference of each evaluation position in the z j slab surface temperature response T pred ij (t) + ΔT ij (t) and the reference target temperature trajectory T ref ij (t) in the S11 evaluation time t, and , And the sum of the squared sum of the stepwise widths Δq k of the cooling water in each cooling zone is used as an evaluation function, and Δq = [Δq 1 Δq 2 ... Δq K ] T is obtained. The evaluation function is expressed by the following equation (21).
Here, T pred i , T ref i , and T i are expressed by Expression (22), Expression (23), and Expression (24), respectively.
The term of the temperature deviation of the evaluation function can be replaced with the following equation (25) by using the gain matrix obtained at S10, and further, except for the term having no relation to the changing step width? K k of the cooling water, The minimization of the function is equivalent to the minimization of J 'expressed by the following equation (26).
The minimization of J 'is a second-order problem with Δq as a determinant. Q is an I x I-dimensional non-negated matrix, and R is a K x K-dimensional heading matrix. For example, a diagonal matrix whose diagonal component is a non-negative constant is used for Q, and a diagonal matrix whose diagonal component is a positive constant is used for R. Further, by adding constraint conditions based on the upper and lower limits of the changing step width of the cooling water, the upper and lower limits of the cooling water, and the like, physical limitations in the mist spray 2 can be reflected.
The optimization problem solving process (hereinafter sometimes referred to as " S13 " in some cases) is a step of obtaining the optimum value? Q * of Δq at the current time by numerically extracting the secondary planning problem in S12 . Since the secondary planning problem is a convex secondary planning problem, if there is no restriction on? Q, the optimal solution? Q * is obtained by the following equation (27). In addition, when there is a restriction on? Q, the optimum solution? Q * can be easily obtained by using an effective constraint method or the like.
By adding the optimum solution? Q * obtained in S13 to the cooling water quantity q (t) of the current cooling zone, the cooling water changing process (hereinafter referred to as "S14" in some cases)
.
The cooling quantity q (t + 1) thus changed is used in the next control cycle.
According to the cooling control method of the present invention having S1 to S14, it is possible to immediately reflect the influence of the change in the cooling water even at a position other than the inlet of the cooling zone adjacent to the downstream side in the casting direction of the tracking surface for evaluating the surface temperature Thus, it becomes possible to control the surface temperature of the entire cast steel such that it always coincides with the predetermined target temperature. Therefore, according to the cooling control method of the present invention, it is possible to increase the precision in controlling the surface temperature of the entire cast steel to a predetermined target temperature. By controlling the surface temperature of the entire cast steel precisely to the target temperature, even when the casting speed and the casting speed change during casting, the surface temperature is prevented from being stiffened in the bending segment or the calibrated segment of the continuous casting machine It is possible to produce a cast slab free from defects due to surface flaws.
The above-described cooling control method of the present invention can be implemented by using, for example, the cooling
Example
In the continuous casting machine for slabs, an embodiment to which the present invention is applied is described below from a first cooling zone directly under a mold outlet to a final tenth cooling zone.
The temperature target value was calculated on the basis of the casting surface temperature at the tracking surface position by strand heat transfer coagulation calculation in the case where the cooling rate of each cooling zone was optimized on the assumption that the casting speed was constant. The continuous casting machine used in this example is a continuous casting machine for slabs having a casting width of 2300 mm and a casting thickness of 300 mm and a distance of 28.5 m from the meniscus position in the casting mold to the outlet of the secondary cooling casting. In the present embodiment, the update interval of the heat transfer calculation is 25 mm, the interval between the tracking planes is 125 mm, and the interval between the future temperature prediction planes is 1.25 m. On the tracking surface, calculation by the above-described electrothermal solidification model was carried out by dividing the cross section of the cast steel by the long side edge center line and the short side edge center line into 20 parts in the thickness direction and 40 parts in the width direction (see Fig. 2) .
The surface temperature of the cast steel surface was measured at a position 5.25 m away from the meniscus on the fourth cooling zone side, and the measurement was carried out with a radiation thermometer at the center of the long side face of the cast steel.
[Example 1]
The cooling control method of the present invention was applied when the injection rate was reduced by 25% during casting (Example 1). 6A and 6C show results of the relationship between the cooling water amount and the time in each cooling zone in the results of the relationship between the temperature and the time of the central portion in the widthwise direction of the slab at each cooling zone outlet in Example 1. Fig. Figs. 6B and 6D show the results of the relationship between the casting speed and time, respectively, in Fig. 6E. When the casting speed was suddenly reduced from 0.8 m / min to 0.6 m / min, and then returned to 0.8 m / min after 5 minutes, the casting surface temperature of each cooling zone outlet and the target temperature The square root of the error was between 12 ° C and 18 ° C.
On the other hand, Figs. 7A to 7E show the results when a conventional quantity cascade control is applied (Comparative Example) when the injection rate is reduced by 25% during casting. Specifically, the results of the relationship between the surface temperature and the time of the central portion in the widthwise direction of the slab at each cooling zone outlet in the comparative example are shown in Figs. 7A and 7C in relation to the cooling water amount and time in each cooling zone Fig. 7B and Fig. 7D show results for the relationship between the casting speed and time, and Fig. 7E shows the results for the relationship between the casting speed and time. In the comparative example, although the casting speed was changed under the same conditions as in Example 1, the square root of the root mean square error between the casting surface temperature at the exit of each cooling zone and the target temperature was 24 ° C at 17 ° C. As shown in Figs. 6A to 6E and Figs. 7A to 7E, particularly after the casting speed is reduced from 0.8 m / min to 0.6 m / min and the casting speed is changed from 0.6 m / min to 0.8 m / min Comparing the control of the amount of cooling water from the first cooling zone to the fifth cooling zone after the return is performed, in the first embodiment shown in Figs. 6A to 6E, compared with the comparative example shown in Figs. 7A to 7E, It was confirmed that the cooling water quantity in the fifth cooling zone from the zone deviated in a preferable form so that the difference between the target surface temperature and the surface temperature of the casting zone at the cooling zone exit becomes small. From these results, it was confirmed that, even if the casting speed is changed, the surface temperature of the cast steel can be controlled to a target temperature with high accuracy.
[Example 2]
The cooling control method of the present invention was applied (Example 2) when the temperature target value of the third cooling zone was changed by 20 占 폚 during casting. This target temperature is a target value at which the casting surface temperature predicted in the future prediction process should be close. The results of the relationship between the actual value of the casting surface temperature and the target temperature and time in Example 2 are shown in Fig. 8A, the results of the relationship between cooling water and time are shown in Fig. 8B, the results of the relationship between casting speed and time Are shown in Fig. 8C, respectively.
As shown in Figs. 8A to 8C, after the temperature target value was lowered, the cooling water amount in the third cooling zone was gradually increased. As a result, the surface temperature of the steel piece at the outlet of the third cooling zone was changed to 20 deg. It was getting closer to the target temperature. On the contrary, after lowering the temperature target value, the cooling water amount in the fourth cooling zone was slightly reduced to compensate for the decrease in the temperature of the cast steel at the inlet of the fourth cooling zone. As a result, the variation width of the cast steel surface temperature at the outlet of the fourth cooling zone was suppressed to 3 占 폚. That is, according to the present invention, it has been confirmed that the surface temperature of the cast steel can be controlled to a target temperature with high accuracy.
In Example 2, there was no change in the amount of cooling and temperature in the first cooling zone and the second cooling zone, which were located on the upstream side of the third cooling zone in the casting direction. Therefore, the results of the first cooling zone and the second cooling zone are not shown, and only the results of the third cooling zone and the fourth cooling zone are shown.
[Example 3]
When cooling the material with the cooling water set in advance by calculating the cooling water quantity, it is estimated that the surface temperature of the material at the outlet of the fourth cooling zone is expected to be 16 ° C higher than the target temperature, the actual heat transfer coefficient And the cooling water in the fourth cooling zone was adjusted (Example 3). The results of the relation between the actual value of the casting surface temperature and the target temperature and time in Example 3 are shown in Fig. 9A, the results of the relationship between cooling water and time are shown in Fig. 9B, the results of the relationship between casting speed and time Are shown in Fig. 9C, respectively.
As shown in Figs. 9A to 9C, in the fourth cooling zone, the cooling water amount is controlled to be larger than the original set value, and as a result, the surface temperature of the slip at the outlet of the fourth cooling zone can be made to coincide with the target value . From these results, it was confirmed that according to the present invention, the surface temperature of the cast steel can be controlled to a target temperature with high accuracy.
Further, in Example 3, there was no change in the cooling water quantity and temperature in the first cooling zone and the second cooling zone located upstream of the third cooling zone in the casting direction. Therefore, the results of the first cooling zone and the second cooling zone are not shown, and only the results of the third cooling zone and the fourth cooling zone are shown.
1: Mold
2: mist spray
3: Flow regulating valve
4: molten meniscus
5: Casting
6: Cool zone boundary (entrance or exit location)
7: Screed surface thermometer
8: Casting speed measuring roll
9: Continuous casting machine
10: cooling control device
10a: Tracking surface setting section
10b: casting target temperature setting unit
10c: temperature solidity ratio estimating unit
10d: Heat transfer coefficient estimating unit
10e: Heat Coagulation Model Parameter Correction
10f: Future prediction plane setting unit
10g: future prediction unit
10h: Future temperature influence coefficient prediction unit
10i: Casting surface reference temperature calculating section
10j: Optimization problem coefficient matrix calculating unit
10k: optimization problem solver
10l: Cooling quantity change unit
Claims (2)
A casting surface temperature measuring step of measuring a casting surface temperature of the cast steel at a temperature measuring point in a predetermined strand,
A casting speed grasping step of grasping a casting speed of the continuous casting machine;
The surface temperature of the cast steel, the surface temperature of the cast steel, and the tracking surface, which is a target for calculating the solid phase distribution of the cast steel, in a region from the mold hot water surface position to at least the cooling zone exit of the secondary cooling control object A tracking surface setting step of setting the tracking surface at a fixed interval,
A casting target temperature setting step for setting a target value of the surface temperature of the cast steel on the tracking surface;
The casting is progressed so that the temperature in the cross section perpendicular to the casting direction and the temperature in the cross section perpendicular to the casting direction are determined by the electrothermal solidification model based on the heat transfer equation every time the tracking surface progresses by the predetermined interval in the casting direction of the cast steel, A surface temperature, and a solid phase rate distribution of the cast steel,
A heat transfer coefficient estimating step of calculating a heat transfer coefficient of a surface of the cast steel used in the electrothermal solidification model by using a casting condition including the cooling water;
A parameter for the casting condition in the electrothermal solidification model is corrected using the difference between the surface temperature of the cast steel measured in the casting surface temperature measurement step and the surface temperature estimated in the temperature increase rate estimation step An electrothermal solidification model parameter correcting step,
The surface temperature of the cast steel at a future time, the temperature in the cross section perpendicular to the casting direction, and the temperature in the cross section perpendicular to the casting direction at a constant interval in a predetermined casting direction among the set of the tracking surfaces set in the tracking surface setting step. A future prediction plane setting step of setting a future prediction plane for predicting a solidification rate distribution of the casting,
It is assumed that the casting speed does not change from the current time while any of the future predicted surfaces is moved from the current time to the future predicted surface positions adjacent thereto on the downstream side, The surface temperature of the cast steel at the time of reaching the predicted surface position, the temperature in the cross section perpendicular to the casting direction, and the solidification rate distribution of the cast steel, A prospective prediction step of repetitively predicting and updating by using an electrothermal solidification model,
It is assumed that the casting speed does not change from the current time every time the arbitrary one of the future prediction planes advances from the current time to the future prediction plane position adjacent to the downstream side in the casting, The surface temperature of the cast steel at each tracking surface position that passes through until the respective future predicted surface reaches the future predicted surface position in the case of changing to the step function type is predicted, A future temperature influence coefficient predicting step of obtaining a deviation between a surface temperature and a surface temperature predicted in the future prediction step and using the deviation to obtain a variation coefficient of influence on the cooling water which changes in a step function form ,
A target value of the surface temperature of the cast steel set in the casting target temperature setting step and a target value of the surface temperature of the cast steel at a time point at which the future predicted surface reaches the future predicted surface position, A casting surface reference temperature calculating step of calculating a reference target temperature determined as a time which is a value between predicted values of temperature,
The cooling water quantity of each of the cooling zones at the current time is used as a determining variable and at each future predicted surface position passed by each of the future predicted surfaces in each of the future prediction process and the future temperature influence coefficient prediction process And a deviation between the reference target temperature calculated in the casting surface reference temperature calculating step and the surface temperature predicted in the future prediction step are calculated and the deviation between the reference target temperature calculated in the future prediction surface An optimization problem coefficient matrix calculating step of calculating a coefficient matrix for a decision variable in the secondary planning problem as a secondary planning problem of an optimization problem that minimizes a sum of the deviations,
An optimization problem solving step of obtaining an optimum value at a current time of the amount of change of the cooling water that changes in a step function form by numerically calculating the secondary planning problem;
And a cooling water quantity changing step of changing the cooling water quantity by adding the optimum value to the cooling water quantity of the current cooling zone,
And the cooling water is changed in the cooling water changing step so that during the movement of each tracking surface to the cooling zone outlet of the secondary cooling control object at an arbitrary time during casting, Wherein the surface temperature of the cast steel at the predicted plane position is controlled to a target value of the surface temperature of the cast steel determined in the casting target temperature setting step.
A casting surface temperature measuring unit for measuring a surface temperature of the cast steel at a temperature measurement point within a predetermined strand during the casting of the cast steel,
A casting speed determining unit for determining a casting speed of the continuous casting machine;
The surface temperature of the cast steel, the surface temperature of the cast steel, and the tracking surface, which is a target for calculating the solid phase distribution of the cast steel, in a region from the mold hot water surface position to at least the cooling zone exit of the secondary cooling control object A tracking plane setting unit for setting the tracking plane at a predetermined interval,
A casting target temperature setting unit for setting a target value of the surface temperature of the cast steel on the tracking surface;
The casting is progressed so that the temperature in the cross section perpendicular to the casting direction and the temperature in the cross section perpendicular to the casting direction are determined by the electrothermal solidification model based on the heat transfer equation every time the tracking surface progresses by the predetermined interval in the casting direction of the cast steel, Surface temperature, and a solid phase rate distribution of the cast steel,
A heat transfer coefficient estimating unit for calculating a heat transfer coefficient of a surface of the cast steel used in the electrothermal solidification model using a casting condition including the cooling water;
A parameter for the casting condition in the electrothermal solidification model is corrected using the difference between the surface temperature of the cast steel measured by the casting surface temperature measuring unit and the surface temperature estimated by the temperature solidity rate estimating unit A heat transfer solidification model parameter modifier,
A surface temperature of the cast steel at a future time, a temperature in the cross section perpendicular to the casting direction, and a temperature in the cross section perpendicular to the casting direction at a predetermined interval in a predetermined casting direction among the set of the tracking surfaces set by the tracking surface setting unit. A future prediction plane setting unit for setting a future prediction plane for predicting a stamper distribution of the casting,
It is assumed that the casting speed does not change from the current time while any of the future predicted surfaces is moved from the current time to the future predicted surface positions adjacent thereto on the downstream side, The surface temperature of the cast steel at the time of reaching the predicted plane position, the temperature in the cross section perpendicular to the casting direction, and the solidification rate distribution of the cast steel, A prospective prediction unit for repeatedly predicting and updating using an electrothermal solidification model,
It is assumed that the casting speed does not change from the current time every time the arbitrary one of the future prediction planes advances from the current time to the future prediction plane position adjacent to the downstream side in the casting, The surface temperature of the cast steel at each tracking surface position that passes through until the respective future predicted surface reaches the future predicted surface position in the case of changing to the step function type is predicted, A future temperature influence coefficient predicting unit for obtaining a deviation between a surface temperature and a surface temperature predicted by the future predicting unit and using the deviation to obtain a change influence coefficient for the cooling water that changes in a step function form ,
A target value of the surface temperature of the cast steel set by the cast target temperature setting unit and a target value of the surface temperature of the cast steel at a time point at which the future predicted plane reaches the future predicted plane position, A casting surface reference temperature calculating section for calculating a reference target temperature which is a value between predicted values of temperature,
The cooling water quantity of each of the cooling zones at the present time is set as a determination variable and the cooling water quantity at each future prediction surface position passed by each of the future predicted surfaces in each of the future prediction unit and the future temperature influence coefficient prediction unit A future temperature influence coefficient and a deviation between the reference target temperature calculated by the slab surface reference temperature calculating unit and the surface temperature predicted by the future predicting unit are calculated, An optimization problem coefficient matrix calculating unit for calculating a coefficient matrix for a decision variable in the secondary planning problem as a secondary planning problem of an optimization problem that minimizes a sum of deviations,
An optimization problem solving unit for obtaining an optimum value at a current time of the amount of change of the cooling water which changes in a step function form by numerically calculating the secondary planning problem,
And a cooling water quantity changing unit for changing the cooling water quantity by adding the optimum value to the cooling water quantity in the current cooling zone,
And the cooling water quantity changing unit repeatedly changes the cooling water quantity so that during the movement of each tracking surface to the cooling zone outlet of the secondary cooling control object at an arbitrary time during casting, And the surface temperature of the cast steel at the predicted plane position is controlled to a target value of the surface temperature of the cast steel set by the cast steel target temperature setting unit.
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| PCT/JP2014/068956 WO2016009514A1 (en) | 2014-07-16 | 2014-07-16 | Secondary cooling control method for continuous casting machine and secondary cooling control device |
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| WO2019074161A1 (en) * | 2017-10-12 | 2019-04-18 | 주식회사 포스코 | Method for casting cast piece and casting equipment |
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| CN107127314B (en) * | 2017-04-08 | 2019-02-12 | 湖南千盟工业智能系统股份有限公司 | A kind of continuous casting two cold section casting flow table face temperature intelligent measurement method |
| CN109865810B (en) * | 2019-03-22 | 2020-10-30 | 麦特勒智能科技(张家港)有限公司 | Intelligent control method for metallurgical continuous casting cooling water |
| CN110125359A (en) * | 2019-06-10 | 2019-08-16 | 中冶赛迪技术研究中心有限公司 | A kind of control method and system of the continuous casting secondary cooling water reducing continuous casting billet head and tail temperature difference |
| EP3998126A4 (en) * | 2019-07-11 | 2022-09-14 | JFE Steel Corporation | Secondary cooling method and secondary cooling apparatus for continuous casting slab |
| CN110315049B (en) * | 2019-07-25 | 2021-02-02 | 中冶赛迪工程技术股份有限公司 | Continuous casting secondary cooling water control device and method |
| CN113245519B (en) * | 2021-04-29 | 2022-07-15 | 北京科技大学 | Dynamic control method and system for secondary cooling water amount of continuous casting square billet |
| CN115145329B (en) * | 2021-07-16 | 2023-11-28 | 武汉帝尔激光科技股份有限公司 | Temperature control system and temperature control method for battery piece laser processing |
| CN114130980B (en) * | 2021-10-29 | 2023-06-20 | 中冶南方连铸技术工程有限责任公司 | Dynamic secondary cooling control method for continuous casting |
| CN114130981B (en) * | 2021-11-11 | 2022-06-14 | 北京科技大学 | Secondary cooling control method for surface solidification structure of reinforced microalloy steel continuous casting billet |
| CN114905023A (en) * | 2022-06-01 | 2022-08-16 | 中冶赛迪工程技术股份有限公司 | Slab continuous casting cooling control method, system, medium and electronic equipment |
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- 2014-07-16 CN CN201480080516.XA patent/CN106536088B/en not_active Expired - Fee Related
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- 2014-07-16 WO PCT/JP2014/068956 patent/WO2016009514A1/en active Application Filing
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| CN106536088A (en) | 2017-03-22 |
| BR112017000138A2 (en) | 2017-11-07 |
| CN106536088B (en) | 2018-10-30 |
| WO2016009514A1 (en) | 2016-01-21 |
| KR101903298B1 (en) | 2018-10-01 |
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