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CN115026250A - Control method for continuous casting large round billet tail end near liquidus electromagnetic stirring process - Google Patents

Control method for continuous casting large round billet tail end near liquidus electromagnetic stirring process Download PDF

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CN115026250A
CN115026250A CN202210733535.4A CN202210733535A CN115026250A CN 115026250 A CN115026250 A CN 115026250A CN 202210733535 A CN202210733535 A CN 202210733535A CN 115026250 A CN115026250 A CN 115026250A
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continuous casting
solidification
round billet
electromagnetic stirring
tail end
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刘中秋
姜玖华
李宝宽
姚毓超
王卓
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Northeastern University China
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B22CASTING; POWDER METALLURGY
    • B22DCASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
    • B22D11/00Continuous casting of metals, i.e. casting in indefinite lengths
    • B22D11/10Supplying or treating molten metal
    • B22D11/11Treating the molten metal
    • B22D11/114Treating the molten metal by using agitating or vibrating means
    • B22D11/115Treating the molten metal by using agitating or vibrating means by using magnetic fields
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B22CASTING; POWDER METALLURGY
    • B22DCASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
    • B22D11/00Continuous casting of metals, i.e. casting in indefinite lengths
    • B22D11/16Controlling or regulating processes or operations
    • B22D11/18Controlling or regulating processes or operations for pouring
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P10/00Technologies related to metal processing
    • Y02P10/25Process efficiency

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Abstract

本发明属于连铸生产技术领域,具体涉及一种连铸大圆坯末端近液相线电磁搅拌工艺控制方法。针对大圆坯连铸过程中凝固末端的位置难以预测,搅拌参数难以确定等技术问题,本发明提出了一种可预测、可调节的连铸大圆坯末端近液相线电磁搅拌工艺控制方法,利用体积平均法预测连铸坯凝固过程中的柱状晶和等轴晶分布,确定凝固末端(近液相线)位置,根据凝固末端位置进行电磁搅拌的调整,在已预测的凝固末端(近液相线)位置施加电磁搅拌。本发明可以准确预测出连铸大圆坯在凝固过程中凝固末端的位置,从而可以根据凝固末端电磁搅拌的工艺要求,准确控制搅拌器位置,进一步的可以有效改善凝固末端的钢水流动状态,提高大圆坯的芯部质量。

Figure 202210733535

The invention belongs to the technical field of continuous casting production, and in particular relates to a method for controlling a near liquidus electromagnetic stirring process at the end of a continuous casting large round billet. Aiming at the technical problems that the position of the solidification end is difficult to predict and the stirring parameters are difficult to determine during the continuous casting of the large round billet, the present invention proposes a predictable and adjustable method for controlling the near liquidus electromagnetic stirring process of the end of the continuous casting billet. The volume average method predicts the distribution of columnar crystals and equiaxed crystals during the solidification process of the continuous casting slab, determines the position of the solidification end (near liquidus), and adjusts the electromagnetic stirring according to the position of the solidification end. Electromagnetic stirring was applied at the position of the line). The invention can accurately predict the position of the solidification end of the continuous casting large round billet during the solidification process, so that the position of the agitator can be accurately controlled according to the technical requirements of the electromagnetic stirring at the solidification end, and further, the molten steel flow state at the solidification end can be effectively improved, and the large circle can be improved. The quality of the core of the billet.

Figure 202210733535

Description

一种连铸大圆坯末端近液相线电磁搅拌工艺控制方法A kind of process control method of continuous casting billet end near liquidus electromagnetic stirring

技术领域technical field

本发明属于连铸生产技术领域,具体涉及一种连铸大圆坯末端近液相线电磁搅拌工艺控制方法。The invention belongs to the technical field of continuous casting production, and in particular relates to a method for controlling a near liquidus electromagnetic stirring process at the end of a continuous casting large round billet.

背景技术Background technique

大圆坯是一类重要的铸件产品,主要用于生产大规格和超大规格高压锅炉管、油井管、轴承套、齿轮、高速列车轮等高附加值环件,具有广阔的应用前景。目前主要采用模铸的方法制备,但模铸的效率低、并且收得率低。用连铸代替模铸能够实现模具钢制备的高效率和高收得率。但随着连铸坯截面扩大,单位长度铸坯热容量增大、散热面积减小,凝固方式由快速凝固向慢速凝固转变,造成芯部钢液的热对流和溶质元素的再分配过程加剧。一些由凝固慢导致的溶质元素宏观偏析及疏松缩孔问题也越发突出。Large round billets are an important type of casting products, which are mainly used for the production of large-sized and super-sized high-pressure boiler tubes, oil well pipes, bearing sleeves, gears, high-speed train wheels and other high value-added rings, and have broad application prospects. At present, the method of die casting is mainly used, but the efficiency of die casting is low and the yield is low. Replacing die casting with continuous casting can achieve high efficiency and high yield of die steel production. However, with the expansion of the section of the continuous casting slab, the heat capacity per unit length of the slab increases, the heat dissipation area decreases, and the solidification mode changes from rapid solidification to slow solidification, resulting in intensified thermal convection of molten steel in the core and redistribution of solute elements. Some macrosegregation of solute elements and loose shrinkage caused by slow solidification are also more and more prominent.

针对不同的连铸坯品种及规格,国内外的冶金工作者目前已采用改善钢液质量、低过热度浇注、末端轻压下等技术来提高连铸坯内部质量。然而,钢液质量的改善程度是有限的,要求过高将导致冶炼难度加大、冶炼成本上升;在实际生产中将过热度降低到液相线附近浇注将会造成水口堵塞,影响钢中夹杂物的上浮;末端轻压下工艺参数确定难度大,对设备和控制技术要求高。According to different types and specifications of continuous casting billets, metallurgical workers at home and abroad have adopted technologies such as improving the quality of molten steel, pouring with low superheat, and lightly pressing the end to improve the internal quality of continuous casting billets. However, the improvement of molten steel quality is limited. Excessive requirements will increase the difficulty of smelting and increase the cost of smelting. In actual production, reducing the superheat to near the liquidus line will cause nozzle blockage and affect inclusions in the steel. It is difficult to determine the process parameters of the end of the light pressure, and the requirements for equipment and control technology are high.

电磁搅拌是改善连铸大圆坯质量,抑制元素成分偏析和疏松缩孔最为有效的技术手段。其中凝固末端电磁搅拌技术,可以通过电磁搅拌器施加的旋转磁场产生电磁力、形成钢液的强制对流使柱状晶折断或熔断,形成等轴晶核;并且还具有提高凝固壳厚度的均匀性、促使夹杂物上浮的功能,从而把中心偏析的发展控制在一定范围内。Electromagnetic stirring is the most effective technical means to improve the quality of continuous casting billets and inhibit the segregation of elements and loose shrinkage cavities. Among them, the electromagnetic stirring technology at the end of solidification can generate electromagnetic force through the rotating magnetic field applied by the electromagnetic stirrer, and form forced convection of molten steel to break or fuse the columnar crystal to form an equiaxed crystal nucleus; It can promote the function of inclusions to float, so as to control the development of center segregation within a certain range.

凝固末端电磁搅拌工艺可以优化连铸大圆坯的凝固过程,但由于连铸大圆坯的凝固方式由快速凝固向慢速凝固转变,因此凝固末端的位置也很难预测,搅拌参数同样也要按照不同断面、不同钢种实验确定,而实验试错的方法成本高,周期长。The electromagnetic stirring process at the end of solidification can optimize the solidification process of continuous casting billets, but since the solidification mode of continuous casting billets changes from rapid solidification to slow solidification, the position of the solidification end is also difficult to predict, and the stirring parameters are also different according to different Sections and different steel grades are experimentally determined, while the trial and error method is costly and has a long cycle.

发明内容SUMMARY OF THE INVENTION

针对大圆坯连铸过程中凝固末端的位置难以预测,搅拌参数难以确定等技术问题,本发明提出了一种可预测、可调节的连铸大圆坯末端近液相线电磁搅拌工艺控制方法,利用体积平均法预测连铸坯凝固过程中的柱状晶和等轴晶分布,确定凝固末端(近液相线)位置,根据凝固末端位置进行电磁搅拌的调整,在已预测的凝固末端(近液相线)位置施加电磁搅拌。Aiming at the technical problems that the position of the solidification end is difficult to predict and the stirring parameters are difficult to determine in the process of continuous casting of the large round billet, the present invention proposes a predictable and adjustable method for controlling the near liquidus electromagnetic stirring process of the end of the continuous casting billet. The volume average method predicts the distribution of columnar crystals and equiaxed crystals during the solidification process of the continuous casting slab, determines the position of the solidification end (near liquidus), and adjusts the electromagnetic stirring according to the position of the solidification end. Electromagnetic stirring was applied at the position of the line).

具体来说,本发明的方法包括以下步骤:Specifically, the method of the present invention comprises the following steps:

S1.创建几何模型:根据实际生产过程的连铸大圆坯尺寸,创建大圆坯的模型。S1. Create a geometric model: According to the size of the continuous casting large round billet in the actual production process, create a model of the large round billet.

S2.划分网格:采用有限元模拟软件,对模型进行结构化网格划分,并对边缘网格进行加密。S2. Meshing: Using finite element simulation software, the model is divided into structured meshes, and the edge meshes are refined.

S3.制定边界条件和物性参数:根据实际生产工况的操作参数,确定各个计算边界条件,根据钢种确定铸造合金的物性参数。S3. Formulate boundary conditions and physical parameters: According to the operating parameters of the actual production conditions, determine each calculation boundary condition, and determine the physical parameters of the casting alloy according to the steel type.

其中铸造合金的物性参数包括密度、比热容、导热系数、液相动力黏度、液相溶质扩散系数、固相溶质扩散系数、相变潜热、热膨胀系数和液相线斜率等。The physical parameters of casting alloys include density, specific heat capacity, thermal conductivity, liquid-phase dynamic viscosity, liquid-phase solute diffusivity, solid-phase solute diffusivity, latent heat of phase transition, thermal expansion coefficient, and liquidus slope.

可以根据实际生产工况及操作参数来设定边界条件。比如边界条件可采用对流换热,大圆坯的边界可以采用分段冷却的条件。Boundary conditions can be set according to actual production conditions and operating parameters. For example, convection heat transfer can be used as the boundary condition, and segmental cooling can be used for the boundary of the large round billet.

S4.进行模拟计算:利用三相体积平均法,对连铸过程中大圆坯内部的温度和各相分布进行模拟计算。将大圆坯内部分成液相l、等轴晶相e和柱状晶相c三个连续相并进行建模,确定各相之间的质量、动量和组分传输源项。S4. Perform simulation calculation: use the three-phase volume average method to simulate and calculate the temperature inside the large round billet and the distribution of each phase during the continuous casting process. The interior of the large round billet is divided into three continuous phases: liquid phase l, equiaxed crystal phase e and columnar crystal phase c and modeled to determine the source terms of mass, momentum and component transport between the phases.

相应的相体积分数分别为fl、fe和fc。其中液相和等轴晶相为可运动相,对其运动的求解可以采用相应的N-S方程;柱状晶相为粘附在冷却壁面上向液相方向生长的不可运动相。对于大圆坯的每个局部节点和大圆坯的整体,都满足三相体积分数之和为1,即fl+fe+fc=1。The corresponding phase volume fractions are f l , f e and f c , respectively. The liquid phase and the equiaxed crystal phase are movable phases, and the corresponding NS equations can be used to solve their motion; the columnar crystal phase is the immovable phase that adheres to the cooling wall and grows toward the liquid phase. For each local node of the large round billet and the whole of the large round billet, the sum of the three-phase volume fractions is 1, that is, f l +f e +f c =1.

通过确定各相之间的质量、动量和组分传输源项,并求解控制方程,预测连铸坯凝固过程中的液相、柱状晶相和等轴晶相分布。控制方程包括连续性方程、动量方程、物种输运方程、能量方程,以及根据实际情况,用于模拟传输或扩散的其他自定义标量方程等。可以基于有限差分法的控制体积求解控制方程,每个时间步采用60次以上的迭代,连续性方程、动量方程、物种输运方程和自定义标量方程的归一化残差的收敛准则为10-4以下,能量方程的归一化残差的收敛准则为10-7以下。By determining the source terms of mass, momentum and composition transport between the phases and solving the governing equations, the distribution of liquid phase, columnar crystal phase and equiaxed crystal phase during the solidification of the continuous casting slab is predicted. Governing equations include continuity equations, momentum equations, species transport equations, energy equations, and other custom scalar equations for simulating transport or diffusion, depending on the situation. The governing equations can be solved based on the control volume of the finite difference method, using more than 60 iterations per time step, and the convergence criterion for the normalized residuals of the continuity equations, momentum equations, species transport equations and custom scalar equations is 10 -4 or less, the convergence criterion of the normalized residual of the energy equation is 10 -7 or less.

S5.确定凝固末端位置:从fl=1的区域边界等值线至fl=0的区域边界等值线之间的区域为大圆坯的凝固末端。S5. Determining the position of the solidification end: the area between the area boundary contour line of f l =1 to the area boundary contour line of f l =0 is the solidification end of the large round billet.

其中fl=1的区域边界等值线也是大圆坯合金液相线温度终点(Tl)的等温线,fl=0的区域边界等值线也是大圆坯合金固相线温度终点(Ts)的等温线。Among them, the regional boundary contour line of f l = 1 is also the isotherm of the end point (T l ) of the liquidus temperature of the large round billet alloy, and the regional boundary contour line of f l = 0 is also the end point of the solidus temperature of the large round billet alloy (T s ). ) of the isotherm.

S6.根据凝固末端位置进行电磁搅拌的调整,在凝固末端处施加所需要的磁场。优选地,用于施加磁场的电磁搅拌器的位置为fl=1的区域边界等值线的端点以上3米的区间内,并且能够在区间内上下调节。S6. Adjust the electromagnetic stirring according to the position of the coagulation end, and apply the required magnetic field at the coagulation end. Preferably, the position of the electromagnetic stirrer for applying the magnetic field is within an interval of 3 meters above the end point of the area boundary contour of f l =1, and can be adjusted up and down within the interval.

进一步地,步骤S6可以通过以下方案实现:根据不同断面尺寸大圆坯对内部流动和传热的不同要求,借助Maxwell等低频电磁场仿真软件,采用有限元法进行连铸大圆坯电磁搅拌器效果计算,确定电磁搅拌参数(电流和频率)并预测磁场分布,并将磁场的合适区域(比如磁感应强度比较大的区域)施加至之前确定好的凝固末端位置。具体来说,可通过以下步骤实现:Further, step S6 can be realized by the following scheme: according to the different requirements of the large round billets of different cross-sectional sizes for internal flow and heat transfer, with the help of low-frequency electromagnetic field simulation software such as Maxwell, the finite element method is used to calculate the effect of the continuous casting large round billet electromagnetic stirrer, Determine the electromagnetic stirring parameters (current and frequency) and predict the distribution of the magnetic field, and apply a suitable region of the magnetic field (such as a region with relatively high magnetic induction intensity) to the previously determined coagulation end position. Specifically, it can be achieved through the following steps:

S6.1创建几何模型:根据实际生产过程的连铸大圆坯凝固末端采用的电磁搅拌器的类型及尺寸,创建模型,划定计算域。S6.1 Create a geometric model: According to the type and size of the electromagnetic stirrer used at the solidification end of the continuous casting billet in the actual production process, create a model and delineate the computational domain.

S6.2划分网格:基于Maxwell等电磁场仿真软件对计算域划分非结构网格,对几何体边缘位置网格进行加密。S6.2 Meshing: The computational domain is divided into unstructured meshes based on electromagnetic field simulation software such as Maxwell, and the meshes at the edges of the geometry are refined.

S6.3设置求解类型及激励:设置为求解瞬态磁场,激活铸坯内部的涡流分析;生成绕组线圈的截面并输入匝数,设置各绕组线圈电流及相位。S6.3 Set the solution type and excitation: set to solve the transient magnetic field, activate the eddy current analysis inside the slab; generate the cross section of the winding coil and input the number of turns, and set the current and phase of each winding coil.

S6.4对计算域内各部件分配其材料属性,制定边界条件;材料属性包括铜线、磁轭、铸坯及空气域,空气域为计算域外缘;由于磁轭对磁场的约束,采用尼曼边界条件,即无磁通穿过。S6.4 Assign its material properties to each component in the computational domain, and formulate boundary conditions; the material properties include copper wire, yoke, billet and air domain, and the air domain is the outer edge of the computational domain; due to the constraint of the magnetic yoke on the magnetic field, the Neiman Boundary condition, i.e. no flux passing through.

S6.5进行模拟计算:根据不同断面尺寸大圆坯对内部流动和传热的不同要求,确定电磁搅拌参数(主要是电流和频率),并据此预测连铸坯内部的磁感应强度分布、感应电流及电磁力分布。S6.5 Carry out simulation calculation: According to the different requirements of large round billets with different cross-sectional sizes for internal flow and heat transfer, determine the electromagnetic stirring parameters (mainly current and frequency), and predict the magnetic induction intensity distribution and induced current inside the continuous casting billet accordingly. and electromagnetic force distribution.

S6.6根据磁感应强度分布、感应电流及电磁力分布的模拟结果,以及步骤S5确定的凝固末端位置,调整电磁搅拌器的位置,使磁场的合适区域作用于凝固末端。S6.6 According to the simulation results of magnetic induction intensity distribution, induced current and electromagnetic force distribution, and the position of the solidification end determined in step S5, adjust the position of the electromagnetic stirrer so that the appropriate area of the magnetic field acts on the solidification end.

本方法在凝固末端(近液相线)位置施加电磁搅拌。电磁搅拌器可以根据电磁搅拌参数(电流和频率)上下移动,调节位置在凝固末端施加电磁搅拌,使枝晶边缘钝化,形成近球体,促进球晶稳定化以及树枝晶向球状晶的转变,并提高其形核率。The method applies electromagnetic stirring at the end of solidification (near the liquidus). The electromagnetic stirrer can move up and down according to the electromagnetic stirring parameters (current and frequency), adjust the position to apply electromagnetic stirring at the end of solidification, passivate the edge of the dendrite, form a near-sphere, promote the stabilization of the spherulite and the transformation of the dendrite to the spheroid, and increase its nucleation rate.

较现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:

1、本发明在连铸大圆坯凝固末端近液相线实施电磁搅拌,可以实现枝晶边缘的钝化,使其形成近球体,促进形核,并且还具有提高铸坯的均匀性、促使夹杂物上浮功能。1. The present invention implements electromagnetic stirring near the liquidus line at the solidification end of the continuous casting billet, which can realize the passivation of the dendrite edge, make it form a near sphere, promote nucleation, and also improve the uniformity of the billet and promote inclusions. Object floating function.

2、本发明采用数值模拟方法确定凝固末端位置和电磁搅拌参数(电流和频率),相比于实验试错的方法,可以降低成本,缩短周期,提高效率。2. The present invention adopts the numerical simulation method to determine the position of the solidification end and the electromagnetic stirring parameters (current and frequency), which can reduce the cost, shorten the cycle and improve the efficiency compared with the method of experimental trial and error.

3、本发明提供的连铸大圆坯凝固末端的预测方法,可以准确预测出连铸大圆坯在凝固过程中凝固末端的位置,从而可以根据凝固末端电磁搅拌的工艺要求,准确控制搅拌器位置,进一步的可以有效改善凝固末端的钢水流动状态,提高大圆坯的芯部质量。3. The method for predicting the solidification end of the continuous casting billet provided by the present invention can accurately predict the position of the solidification end of the continuous casting billet during the solidification process, so that the position of the agitator can be accurately controlled according to the technological requirements of the electromagnetic stirring at the solidification end. Further, the molten steel flow state at the solidification end can be effectively improved, and the core quality of the large round billet can be improved.

4、本发明提供的可预测、可调节的连铸大圆坯末端近液相线电磁搅拌工艺控制方法,具有广泛的适用性,适合实际生产中不同尺寸和材料的大圆坯,为现场电磁搅拌设置提供指导。4. The predictable and adjustable method for controlling the near-liquidus electromagnetic stirring process at the end of continuous casting large round billets provided by the present invention has wide applicability and is suitable for large round billets of different sizes and materials in actual production, and is set for on-site electromagnetic stirring. Provide guidance.

综上,应用本发明的技术方案能够优化现有的连铸大圆坯电磁搅拌工艺,可在钢铁和有色金属冶金铸造等领域广泛推广。In conclusion, the application of the technical solution of the present invention can optimize the existing continuous casting large round billet electromagnetic stirring process, and can be widely promoted in the fields of iron and steel and non-ferrous metal metallurgy casting.

附图说明Description of drawings

图1本发明中近液相线凝固末端电磁搅拌区示意图;1-fl=1区域边界等值线,2-fl=0区域边界等值线,3-fl=1区域边界等值线端点,4-fl=0区域边界等值线端点,5-电磁搅拌器。Fig. 1 is a schematic diagram of the electromagnetic stirring zone near the liquidus solidification end in the present invention; 1-f l =1 area boundary contour, 2-f l =0 area boundary contour, 3-f l =1 area boundary contour Line endpoints, 4- fl =0 area boundary contour endpoints, 5-Electromagnetic stirrer.

图2本发明中的体积平均法预测的三相分布结果(a)液相(b)等轴晶(c)柱状晶。Fig. 2 Three-phase distribution results predicted by the volume average method in the present invention (a) liquid phase (b) equiaxed crystal (c) columnar crystal.

图3本发明实施例借助低频电磁场仿真软件Maxwell,采用有限元法进行连铸大圆坯电磁搅拌器效果计算的模型示意图和计算结果:(a)几何模型(b)磁感应强度分布(c)电磁力矢量分布。其中6-铸坯,7-铁芯,8-线圈W1,9-线圈W2,10-线圈W3。Fig. 3 embodiment of the present invention with the aid of low-frequency electromagnetic field simulation software Maxwell, adopts finite element method to carry out the model schematic diagram and calculation result of continuous casting large round billet electromagnetic stirrer effect calculation: (a) geometric model (b) magnetic induction intensity distribution (c) electromagnetic force Vector distribution. Among them, 6-cast billet, 7-iron core, 8-coil W1, 9-coil W2, 10-coil W3.

具体实施方式Detailed ways

下面结合具体实施例对本发明的方法做详细介绍。The method of the present invention will be described in detail below with reference to specific embodiments.

首先通过体积平均法,模拟直径为600mm的连铸大圆坯在铸造过程中的液相、柱状晶相和等轴晶相的分布,确定凝固末端(近液相线)位置,具体步骤如下:Firstly, the distribution of liquid phase, columnar crystal phase and equiaxed crystal phase in the casting process of the continuous casting billet with a diameter of 600mm is simulated by the volume average method, and the position of the solidification end (near liquidus) is determined. The specific steps are as follows:

S1、创建几何模型:根据实际生产过程的连铸大圆坯尺寸,创建模型。S1. Create a geometric model: Create a model according to the size of the continuous casting billet in the actual production process.

S2、划分网格:进行结构化网格划分,并对边缘网格进行加密。S2. Grid division: perform structured grid division and refine the edge grid.

S3、制定边界条件和物性参数:根据实际生产工况的操作参数,确定各个计算边界条件,本实施例中,边界条件采用对流换热,大圆坯的边界采用分段冷却条件,忽略结晶器的振动,忽略结晶器保护渣与钢水之间的传热、夹杂及反应。S3. Formulate boundary conditions and physical parameters: According to the operating parameters of the actual production conditions, determine each calculation boundary condition. In this embodiment, the boundary conditions adopt convection heat transfer, and the boundary of the large round billet adopts segment cooling conditions, ignoring the crystallizer. Vibration, ignoring the heat transfer, inclusion and reaction between mold flux and molten steel.

同时根据钢种确定铸造合金的物性参数,包括密度、比热容、导热系数、液相动力黏度、液相溶质扩散系数、固相溶质扩散系数、相变潜热、热膨胀系数和液相线斜率等。At the same time, the physical parameters of the cast alloy are determined according to the steel type, including density, specific heat capacity, thermal conductivity, liquid dynamic viscosity, liquid solute diffusivity, solid solute diffusivity, latent heat of phase transformation, thermal expansion coefficient and liquidus slope.

S4、进行模拟计算:利用三相体积平均法对大圆坯内部的温度和各相分布进行模拟计算,将大圆坯内部分成液相l、等轴晶相e和柱状晶相c三个连续相并进行建模,确定各相之间的质量、动量和组分传输源项,相应的相体积分数分别为fl、fe和fc。其中液相和等轴晶相为可运动相,对其运动的求解可以采用相应的N-S方程;柱状晶相为粘附在冷却壁面上向液相方向生长的不可运动相。S4. Perform simulation calculation: use the three-phase volume average method to simulate the temperature and phase distribution inside the large round billet, and divide the inside of the large round billet into three continuous phases: liquid phase l, equiaxed crystal phase e and columnar crystal phase c. Modeling was performed to determine the source terms for mass, momentum, and component transport between the phases, with the corresponding phase volume fractions f l , f e , and f c , respectively. The liquid phase and the equiaxed crystal phase are movable phases, and the corresponding NS equations can be used to solve their motion; the columnar crystal phase is the immovable phase that adheres to the cooling wall and grows toward the liquid phase.

对于大圆坯的每个局部节点和大圆坯的整体,都满足三相体积分数之和为1,即fl+fe+fc=1。For each local node of the large round billet and the whole of the large round billet, the sum of the three-phase volume fractions is 1, that is, f l +f e +f c =1.

通过确定各相之间的质量、动量和组分传输源项,并求解控制方程,预测连铸坯凝固过程中的液相、柱状晶相和等轴晶相分布;控制方程包括连续性方程、动量方程、物种输运方程、能量方程,以及根据实际情况,用于模拟传输或扩散的其他自定义标量方程等。基于有限差分法的控制体积对控制方程进行求解,每个时间步采用60次以上的迭代,连续性方程、动量方程、物种输运方程和自定义标量方程的归一化残差的收敛准则为10-4以下,能量方程的归一化残差的收敛准则为10-7以下。By determining the source terms of mass, momentum and composition transport between the phases and solving the governing equations, the distribution of liquid phase, columnar crystal phase and equiaxed crystal phase during the solidification of the continuous casting slab is predicted; the governing equations include the continuity equation, Momentum equations, species transport equations, energy equations, and other custom scalar equations for simulating transport or diffusion, depending on the situation. The governing equations are solved based on the control volume of the finite difference method, and each time step uses more than 60 iterations. The convergence criteria of the normalized residuals of the continuity equation, momentum equation, species transport equation and custom scalar equation are 10 -4 or less, the convergence criterion of the normalized residual of the energy equation is 10 -7 or less.

本实施例中模拟得到的三相分布如图2所示。The three-phase distribution obtained by simulation in this embodiment is shown in FIG. 2 .

S5.确定凝固末端位置:如图1所示,1为fl=1区域边界等值线,即大圆坯中纯液相区域的边界线,也可视为大圆坯合金液相线温度终点(Tl)的等温线,fl=1区域边界等值线1以上的区域为fl=1的完全的液相区域;2为fl=0区域边界等值线,即大圆坯中纯固相区域的边界线,也可视为大圆坯合金固相线温度终点(Ts)的等温线,fl=0区域边界等值线2以下的区域为fl=0的完全固相区域;在1与2之间的区域即为凝固末端的位置区域。S5. Determine the position of the solidification end: as shown in Figure 1, 1 is the boundary contour line of the f l = 1 region, that is, the boundary line of the pure liquid phase region in the large round billet, which can also be regarded as the end point of the liquidus temperature of the large round billet alloy ( T l ) isotherm, the area above the boundary contour line of f l = 1 is the complete liquid phase area of f l = 1 ; The boundary line of the phase region can also be regarded as the isotherm of the solidus temperature end point (T s ) of the large round billet alloy, and the region below the boundary isoline 2 of the f l = 0 region is the complete solid phase region of f l = 0; The area between 1 and 2 is the location of the coagulation end.

S6.根据凝固末端位置进行电磁搅拌的调整,在凝固末端处施加所需要的磁场。具体来说,可将电磁搅拌器5设置于fl=1区域边界等值线1的端点3(也是铸坯中心完全液相区的起点)以上3米的区间内,并进行上下调节。S6. Adjust the electromagnetic stirring according to the position of the coagulation end, and apply the required magnetic field at the coagulation end. Specifically, the electromagnetic stirrer 5 can be set in the interval of 3 meters above the end point 3 of the boundary contour 1 of the f l =1 region (which is also the starting point of the complete liquid phase region in the center of the slab), and can be adjusted up and down.

本实施例中根据该尺寸大圆坯对内部流动和传热的要求,借助低频电磁场仿真软件Maxwell,采用有限元法进行连铸大圆坯电磁搅拌器效果计算,确定电磁搅拌参数(电流和频率)并预测磁场分布,并将磁场的合适区域(比如磁感应强度比较大的区域)施加至之前确定好的凝固末端位置。具体包括以下步骤:In this example, according to the requirements for internal flow and heat transfer of the large round billet of this size, with the help of the low-frequency electromagnetic field simulation software Maxwell, the finite element method is used to calculate the effect of the electromagnetic stirrer for the continuous casting large round billet, and the electromagnetic stirring parameters (current and frequency) are determined. Predict the distribution of the magnetic field, and apply a suitable region of the magnetic field (such as a region with relatively high magnetic induction) to the previously determined coagulation end position. Specifically include the following steps:

S6.1创建几何模型:根据实际生产过程的连铸大圆坯凝固末端采用的电磁搅拌器的类型及尺寸,创建模型,划定计算域。创建的模型如图3(a)所示,包括铸坯6(要铸造的大圆坯)、铁芯7(作为磁轭)、由铜线缠成的三个线圈8-10,还有这些部件周边的空气域。S6.1 Create a geometric model: According to the type and size of the electromagnetic stirrer used at the solidification end of the continuous casting billet in the actual production process, create a model and delineate the computational domain. The created model is shown in Fig. 3(a) and includes a casting billet 6 (a large round billet to be cast), an iron core 7 (as a yoke), three coils 8-10 wound with copper wire, and these parts surrounding airspace.

S6.2划分网格:基于Maxwell等电磁场仿真软件对计算域划分非结构网格,对几何体边缘位置网格进行加密。S6.2 Meshing: The computational domain is divided into unstructured meshes based on electromagnetic field simulation software such as Maxwell, and the meshes at the edges of the geometry are refined.

S6.3设置求解类型及激励:设置为求解瞬态磁场,激活铸坯内部的涡流分析;生成绕组线圈的截面并输入匝数,设置各绕组线圈电流及相位。S6.3 Set the solution type and excitation: set to solve the transient magnetic field, activate the eddy current analysis inside the slab; generate the cross section of the winding coil and input the number of turns, and set the current and phase of each winding coil.

S6.4对计算域内各部件分配其材料属性,制定边界条件;材料属性包括铜线、磁轭、铸坯及空气域,空气域为计算域外缘;由于磁轭对磁场的约束,采用尼曼边界条件,即无磁通穿过。S6.4 Assign its material properties to each component in the computational domain, and formulate boundary conditions; the material properties include copper wire, yoke, billet and air domain, and the air domain is the outer edge of the computational domain; due to the constraint of the magnetic yoke on the magnetic field, the Neiman Boundary condition, i.e. no flux passing through.

S6.5进行模拟计算:根据不同断面尺寸大圆坯对内部流动和传热的不同要求,确定电磁搅拌参数(主要是电流和频率),并据此预测连铸坯内部的磁感应强度分布、感应电流及电磁力分布,如图3(b)、3(c)所示。S6.5 Carry out simulation calculation: According to the different requirements of large round billets with different cross-sectional sizes for internal flow and heat transfer, determine the electromagnetic stirring parameters (mainly current and frequency), and predict the magnetic induction intensity distribution and induced current inside the continuous casting billet accordingly. and electromagnetic force distribution, as shown in Figures 3(b) and 3(c).

S6.6根据磁感应强度分布、感应电流及电磁力分布的模拟结果,以及步骤S5确定的凝固末端位置,调整电磁搅拌器的位置,使磁场的合适区域作用于凝固末端,在凝固末端施加需要的磁场。S6.6 According to the simulation results of the distribution of magnetic induction intensity, induced current and electromagnetic force, and the position of the solidification end determined in step S5, adjust the position of the electromagnetic stirrer, so that the appropriate area of the magnetic field acts on the solidification end, and apply the required amount to the solidification end. magnetic field.

Claims (8)

1. A near-liquidus electromagnetic stirring process control method for the tail end of a large continuous casting round billet is characterized in that a volume average method is used for predicting the distribution of columnar crystals and equiaxed crystals in the continuous casting billet solidification process, the solidification tail end position is determined, and electromagnetic stirring is adjusted according to the solidification tail end position.
2. The near-liquidus electromagnetic stirring process control method for the tail end of the continuous casting round billet according to claim 1, characterized by comprising the following steps:
s1, creating a geometric model: establishing a model according to the size of a continuous casting large round billet in the actual production process;
s2, grid division: adopting finite element simulation software to perform structured grid division on the model and encrypt edge grids;
s3, formulating boundary conditions and physical property parameters: determining each calculation boundary condition according to the operation parameters of the actual production working condition, and determining the physical parameters of the cast alloy according to the steel grade;
s4, performing simulation calculation: utilizing a three-phase volume average method to carry out analog calculation on the temperature and phase distribution in the large round billet, dividing the interior of the large round billet into three continuous phases of a liquid phase l, an equiaxed crystal phase e and a columnar crystal phase c for modeling, wherein the corresponding phase volume fractions are respectively f l 、f e And f c Wherein the liquid phase and the equiaxed crystal phase are movable phases, and the columnar crystal phase is an immovable phase which is adhered on the cooling wall surface and grows towards the liquid phase direction;
predicting the distribution of liquid phase, columnar crystal phase and equiaxed crystal phase in the solidification process of the continuous casting billet by determining the mass, momentum and component transmission source items among all phases and solving a control equation;
s5, determining the position of a solidification tail end: from f l Region boundary contour to f of 1 l The region between the region boundary contour lines which are 0 is the solidification tail end of the round billet;
s6, adjusting electromagnetic stirring according to the position of the solidification tail end, and applying a required magnetic field at the solidification tail end.
3. The method for controlling the near-liquidus electromagnetic stirring process of the tail end of the continuous casting round billet according to claim 2, wherein in the step S3, the boundary conditions are as follows: convection heat transfer is adopted, and the boundary of the large round billet is cooled in a sectional manner.
4. The method for controlling a near-liquidus electromagnetic stirring process at the end of a continuous casting round billet according to claim 2, wherein in the step S4, the control equation is solved based on the control volume of the finite difference method, more than 60 iterations are adopted in each time step, and the convergence criterion of the normalized residuals of the continuity equation, the momentum equation, the species transport equation and the custom scalar equation is 10 -4 The convergence criterion for the normalized residual of the energy equation is 10 below -7 The following.
5. The method for controlling a near-liquidus electromagnetic stirring process of a terminal of a large round billet for continuous casting according to claim 2, wherein the position of the electromagnetic stirrer is f in step S6 l The region boundary contour is 1 in a section 3 meters above the end point of the contour and can be adjusted up and down within the section.
6. The method for controlling the near-liquidus electromagnetic stirring process of the tail end of the continuous casting round billet according to any one of claims 1 to 5, wherein the step S6 specifically comprises the following steps:
s6.1, creating a geometric model: according to the type and the size of an electromagnetic stirrer adopted at the solidification end of a continuous casting round billet in the actual production process, a model is created, and a calculation domain is defined;
s6.2, grid division: dividing a computational domain into unstructured grids based on electromagnetic field simulation software, and encrypting geometric body edge position grids;
s6.3, setting solving type and excitation: setting to solve a transient magnetic field and activating eddy current analysis inside the casting blank; generating the section of a winding coil, inputting the number of turns, and setting the current and the phase of each winding coil;
s6.4, distributing material attributes of each part in the calculation domain, and formulating boundary conditions;
s6.5, performing simulation calculation: determining electromagnetic stirring parameters according to different requirements of large round billets with different section sizes on internal flow and heat transfer, and predicting magnetic induction intensity distribution, induced current and electromagnetic force distribution in the continuous casting billets;
s6.6 adjusts the position of the electromagnetic stirrer so that an appropriate region of the magnetic field acts on the solidification end, based on the simulation results of the magnetic induction intensity distribution, the induced current, and the electromagnetic force distribution, and the solidification end position determined in step S5.
7. The method for controlling a near-liquidus electromagnetic stirring process of the tail end of a continuous casting round billet as claimed in claim 2, wherein the physical properties of the cast alloy in the step S3 include: density, specific heat capacity, thermal conductivity, liquid dynamic viscosity, liquid solute diffusion coefficient, solid solute diffusion coefficient, latent heat of phase change, coefficient of thermal expansion, and liquidus slope.
8. The method for controlling the near-liquidus electromagnetic stirring process of the tail end of the continuous casting round billet according to the claim 6, characterized in that in the step S6.4: the material properties comprise a copper wire, a magnet yoke, a casting blank and an air domain, wherein the air domain is the outer edge of the calculation domain; the niemann boundary condition without magnetic flux crossing is adopted.
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