A method and system for simulating the thickness of slag hanging on the wall of a furnace

Abstract

The present invention proposes a method and system for simulating the thickness of slag hanging on the wall of a furnace. The method comprises: determining a solution domain based on a three-dimensional simulation model of an electric furnace, and assigning material parameters and applying an excitation source to the three-dimensional simulation model respectively; solving the electromagnetic field and volume Joule heat of the three-dimensional simulation model after assigning material parameters and applying an excitation source; determining the flow field distribution according to the electromagnetic field, and determining the temperature field distribution according to the volume Joule heat; determining the molten pool boundary according to the flow field distribution and the temperature field distribution; and determining the thickness of the slag hanging on the wall of the electric furnace according to the molten pool boundary. Using the "slag hanging" method to produce a layer of solid slag on the surface of the lining of a metallurgical electric furnace is an effective method for increasing the service life of the furnace lining. In response to the shortcomings of the prior art, a method for simulating and calculating the thickness of slag hanging on the wall of a metallurgical electric furnace based on electromagnetic field-flow field-temperature field coupled simulation is disclosed, which solves the problems of long testing cycle, high cost, and low accuracy in the prior art.

Description

Technical Field

[0001] The invention belongs to the technical field of metallurgical electric furnaces, and in particular relates to a method and system for simulating the thickness of slag hanging on the wall of a furnace. Background Art

[0002] Compared to other smelting furnaces, metallurgical electric furnaces offer advantages such as high thermal efficiency, minimal slag production, and a high overall recovery rate for smelted metal. Within a metallurgical electric furnace, materials react rapidly and violently, releasing significant heat and causing a sharp rise in furnace temperature. Simultaneously, reaction products and dust-laden flue gases rapidly flow through the furnace, creating significant airflow disturbances. The combined effects of high temperatures and flue gas scour severely corrode the furnace walls. Slag buildup on the furnace walls not only effectively mitigates the effects of high temperatures on the furnace lining, but also prevents high-temperature molten material from penetrating the brick lining and damaging the furnace walls.

[0003] Due to the enclosed structure and intense high-temperature reactions within metallurgical electric furnaces, direct observation of the furnace's internal temperature and slag boundary is impossible during actual production. There are two main methods for determining the slag thickness on the inner walls of metallurgical electric furnaces: empirical judgment and finite element simulation.

[0004] The empirical judgment method involves field technicians assessing the condition of the inner wall of a metallurgical electric furnace using temperature readings from thermocouples embedded in the furnace brick lining, supplemented by manual experience. This method is subject to significant subjective influence, resulting in relatively rough results. This empirical judgment and manipulation also leads to delayed and uninformed adjustments to operating parameters. Consequently, localized overtemperatures due to severe lining corrosion often occur on-site, necessitating production suspension for repairs in severe cases.

[0005] The finite element simulation method studies the heat transfer process of the cross-section of a metallurgical electric furnace wall. It establishes a wall lining heat transfer model using the finite difference equation for two-dimensional heat transfer. Using several known conditions and data measured by thermocouples pre-installed within the furnace brick lining as boundary conditions, an iterative method is used to solve the internal temperature field of the furnace lining. Based on this, the slag boundary within the furnace is solved, thereby simulating the thickness of the slag on the wall of the metallurgical electric furnace. In the finite element simulation method, the furnace wall temperature is inferred through linear interpolation based on the data measured by the thermocouples built into the lining. However, due to the limited number of built-in thermocouples, the obtained results cannot fully reflect the temperature conditions of the entire furnace wall, and there is a significant gap between the actual situation and the actual situation.

[0006] Both the empirical judgment method and the finite element simulation method are unable to accurately judge the temperature inside the furnace and the furnace wall, resulting in deviations in the slag thickness of the furnace wall obtained based on this method.

[0007] Metallurgical electric furnace production is a high-temperature physical and chemical process in which gas, solid, liquid and arc plasma coexist and momentum, mass and heat transfer are coupled. Due to the harsh experimental environment, high experimental costs, long experimental cycles and the acquisition of only a small amount of data, it is very difficult to directly measure the temperature distribution of the internal smelting process. Currently, both the empirical judgment method and the finite element simulation method first estimate the temperature of the furnace wall and then obtain the slag thickness of the furnace wall.

[0008] There are two main methods for estimating the furnace wall temperature: one is to set different average temperatures above and below the slag phase line based on the flue gas and melt temperatures; the other is to set a furnace wall temperature value through linear interpolation based on the data measured by thermocouples built into the furnace wall brick lining. During the metallurgical electric furnace production process, the furnace wall temperature is affected by numerous factors such as electromagnetic heat radiation, melt flow, and rising flue gas, resulting in a non-uniform temperature distribution. Therefore, neither of these methods can accurately reflect the furnace wall temperature, and the resulting slag layer thickness also suffers from low accuracy. Summary of the Invention

[0009] In view of the above problems, the present invention proposes a method for simulating the thickness of slag hanging on the wall of a furnace, the method comprising:

[0010] Determining a solution domain based on a three-dimensional simulation model of the electric furnace, and assigning material parameters and applying an excitation source to the three-dimensional simulation model;

[0011] Solving the electromagnetic field and volume Joule heating of the three-dimensional simulation model after assigning material parameters and applying an excitation source;

[0012] determining a flow field distribution according to the electromagnetic field, and determining a temperature field distribution according to the volume Joule heat;

[0013] determining a molten pool boundary according to the flow field distribution and the temperature field distribution;

[0014] The thickness of the slag hanging on the inner wall of the electric furnace is determined according to the molten pool boundary.

[0015] Furthermore, assigning material parameters to the three-dimensional simulation model includes assigning material parameters to different components of the three-dimensional simulation model, wherein:

[0016] The components include a graphite electrode, a slag layer and a metal layer, and the material parameters include electrical conductivity and relative magnetic permeability.

[0017] Furthermore, determining the flow field distribution according to the electromagnetic field includes:

[0018] Converting the electromagnetic field into a first format file;

[0019] The converted electromagnetic field is loaded onto the flow field in a source term manner to determine the flow field distribution.

[0020] Furthermore, determining the temperature field distribution according to the volume Joule heat includes:

[0021] Determine thermal boundary conditions based on the electric furnace production environment;

[0022] The volume Joule heat is determined as the internal heat source of the temperature field, and the temperature field distribution inside the furnace and the furnace wall brick lining under the coupling effect of the electromagnetic field, flow field and temperature field is determined according to the thermal boundary conditions.

[0023] Furthermore, determining the molten pool boundary according to the flow field distribution and the temperature field distribution includes:

[0024] Perform electromagnetic field-flow field-temperature field coupling simulation calculation on the flow field distribution and the temperature field distribution to obtain isothermal lines of the furnace hearth and the furnace wall brick lining;

[0025] The molten pool boundary is determined based on the isotherm diagram and the solidification temperature of the slag phase.

[0026] Furthermore, the thickness of the slag hanging on the inner wall of the electric furnace is determined according to the distance between the molten pool boundary and the furnace wall brick lining.

[0027] The embodiment of the present invention also provides a simulation system for the thickness of slag hanging on the inner wall of an electric furnace, the system comprising a first solving unit, a parameter determining unit, an excitation unit, a second solving unit, a flow field determining unit, a temperature field determining unit, a boundary determining unit and a thickness determining unit.

[0028] A first solving unit is used to determine a solution domain based on a three-dimensional simulation model of the electric furnace;

[0029] a parameter determination unit, configured to assign material parameters to the three-dimensional simulation model;

[0030] an excitation unit, configured to apply an excitation source to the three-dimensional simulation model;

[0031] A second solving unit is used to solve the electromagnetic field and volume Joule heating of the three-dimensional simulation model after assigning material parameters and applying an excitation source;

[0032] a flow field determining unit, communicatively connected to the second solving unit, and configured to determine a flow field distribution according to the electromagnetic field;

[0033] a temperature field determining unit, communicatively connected to the second solving unit, and configured to determine a temperature field distribution according to the volume Joule heating;

[0034] a boundary determination unit, respectively connected to the flow field determination unit and the temperature field determination unit for determining the molten pool boundary according to the flow field distribution and the temperature field distribution;

[0035] The thickness determination unit is in communication with the boundary determination unit and is used to determine the thickness of the slag hanging on the inner wall of the electric furnace according to the molten pool boundary.

[0036] Furthermore, the parameter determination unit is used to assign material parameters of different components to the three-dimensional simulation model, wherein:

[0037] The components include a graphite electrode, a slag layer and a metal layer, and the material parameters include electrical conductivity and relative magnetic permeability.

[0038] Furthermore, the flow field determination unit includes a conversion module and a loading module.

[0039] The conversion module is used to convert the electromagnetic field into a first format file;

[0040] The loading module is in communication with the conversion module and is used to load the converted electromagnetic field onto the flow field in a source term manner to determine the flow field distribution.

[0041] Furthermore, the temperature field determination unit includes a thermal boundary module and a first determination module.

[0042] The thermal boundary module is used to determine the thermal boundary conditions according to the electric furnace production environment;

[0043] The first determination module is communicated with the thermal boundary module and is used to determine the volume Joule heat as the internal heat source of the temperature field, and determine the temperature field distribution inside the furnace and the furnace wall brick lining under the coupling action of the electromagnetic field, flow field and temperature field according to the thermal boundary conditions.

[0044] Furthermore, the boundary determination unit includes an image determination module and a second determination module.

[0045] The image determination module is used to perform electromagnetic field-flow field-temperature field coupling simulation calculation on the flow field distribution and the temperature field distribution to obtain isothermal lines of the furnace hearth and the furnace wall brick lining;

[0046] The second determination module is in communication with the image determination module and is configured to determine the molten pool boundary based on the isotherm diagram in combination with the solidification temperature of the slag phase.

[0047] Furthermore, the thickness determination unit is used to determine the thickness of the slag on the inner wall of the electric furnace according to the distance between the molten pool boundary and the furnace wall brick lining.

[0048] The method and system for simulating the thickness of slag hanging on the furnace wall of the present invention adopt the "slag hanging" method to produce a layer of solid slag on the surface of the lining of the metallurgical electric furnace, which is an effective method to increase the service life of the furnace lining. In view of the shortcomings of the existing technology, a simulation and calculation method for the thickness of slag hanging on the wall of a metallurgical electric furnace based on electromagnetic field-flow field-temperature field coupling simulation is disclosed, which solves the problems of long testing cycle, high cost, low precision and so on in the existing technology. The method has strong versatility and realizes the rapid confirmation of the thickness of slag hanging on the furnace wall during the heating production process of the metallurgical electric furnace, shortens the research and development cycle, and reduces the research and development cost. The present invention also takes into account the flow and heat transfer characteristics of the molten pool under the action of electromagnetic force stirring, and obtains simulation analysis results that can comprehensively and truly reflect the temperature field distribution status of the interior of the metallurgical electric furnace and the furnace wall brick lining, and on this basis, makes a reasonable prediction of the thickness of the inner wall slag, which can be used to identify potential production problems and optimize the production operation of the metallurgical electric furnace.

[0049] Other features and advantages of the present invention will be described in the following description, and in part will become apparent from the description, or will be understood by practicing the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures pointed out in the description, claims and drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0050] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following is a brief introduction to the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0051] Figure 1 A schematic diagram of the process of simulating the thickness of slag hanging on the furnace wall in an embodiment of the present invention is shown;

[0052] Figure 2 A schematic diagram of the three-dimensional model structure of an electric furnace in an embodiment of the present invention is shown;

[0053] Figure 3 A schematic diagram of converting an electromagnetic field into a first format file in an embodiment of the present invention is shown.

[0054] 1-Refractory lining; 2-Copper water jacket; 3-Electrode; 4-Slag layer; 5-Metal layer. DETAILED DESCRIPTION

[0055] To make the objectives, technical solutions, and advantages of the embodiments of the present invention more clear, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts shall fall within the scope of protection of the present invention.

[0056] The present invention discloses a method for simulating the thickness of slag hanging on the inner wall of a metallurgical electric furnace based on electromagnetic field-flow field-temperature field coupling simulation. Figure 1 A schematic flow chart of a method for simulating the thickness of slag hanging on the wall of an electric furnace in an embodiment of the present invention is shown. The method includes determining a solution domain based on a three-dimensional simulation model of the electric furnace, and assigning material parameters and applying an excitation source to the three-dimensional simulation model respectively; solving the electromagnetic field and volume Joule heat of the three-dimensional simulation model after assigning material parameters and applying an excitation source; determining the flow field distribution according to the electromagnetic field, and determining the temperature field distribution according to the volume Joule heat; determining the molten pool boundary according to the flow field distribution and the temperature field distribution; and determining the thickness of the slag hanging on the wall of the electric furnace according to the molten pool boundary.

[0057] Specifically, assigning material parameters to the three-dimensional simulation model includes assigning material parameters to different components of the three-dimensional simulation model, wherein the components include a graphite electrode, a slag layer and a metal layer, and the material parameters include electrical conductivity, relative magnetic permeability, density, specific heat capacity and thermal conductivity.

[0058] Specifically, determining the flow field distribution according to the electromagnetic field includes: converting the electromagnetic field into a first format file; and loading the converted electromagnetic field onto the flow field in a source term manner to determine the flow field distribution.

[0059] Specifically, determining the temperature field distribution based on the volume Joule heat includes: determining the thermal boundary conditions based on the electric furnace production environment; determining the volume Joule heat as the internal heat source of the temperature field, and determining the temperature field distribution inside the furnace and the furnace wall brick lining under the coupling action of the electromagnetic field, flow field and temperature field based on the thermal boundary conditions.

[0060] Specifically, determining the molten pool boundary according to the flow field distribution and the temperature field distribution includes: performing electromagnetic field-flow field-temperature field coupling simulation calculation on the flow field distribution and the temperature field distribution to obtain an isothermal map of the furnace hearth interior and the furnace wall brick lining; and determining the molten pool boundary according to the isothermal map combined with the slag phase solidification temperature.

[0061] Specifically, the thickness of the slag hanging on the inner wall of the electric furnace is determined according to the distance between the molten pool boundary and the furnace wall brick lining.

[0062] In the embodiment of the present invention, the specific process of the method for simulating the thickness of slag hanging on the wall of the electric furnace is also described. In the embodiment of the present invention, the simulation process is specifically described by taking a three-phase AC metallurgical furnace as an example:

[0063] Step 1: Create a 3D model of the metallurgical electric furnace. Figure 2 A schematic diagram of the three-dimensional model structure of an electric furnace in an embodiment of the present invention is shown. In the embodiment of the present invention, the metallurgical electric furnace includes a furnace shell, a refractory lining 1, a charging device, a product discharge device, an electrode 3 and an electrode lifting device, a copper water jacket 2, a slag layer 4 and a metal layer 5. The charging device, the product discharge device and the electrode lifting device will not affect the simulation calculation results, so they are omitted.

[0064] Step 2: Based on the boundary of the simulation model in three-dimensional space, set a region 1 to 2 times larger than the model boundary as the solution domain. In the embodiment of the present invention, the purpose of setting the solution domain is to prevent the generated magnetic lines of force from falling outside the region. The value of the solution domain can be adjusted within the range according to the simulation object;

[0065] Step 3: Assign corresponding material parameters to different components of the model. In this embodiment of the present invention, the metal layer includes matte copper and matte nickel, as shown in the following table:

[0066]

[0067] Step 4: Apply current excitation to the upper end faces of the three electrodes respectively. The current amplitude is 6kA to 10kA, the phase difference between adjacent electrodes is 120°, and the operating frequency of the excitation source is 50Hz.

[0068] Step 5: Based on the Maxwell equations and the constitutive relationship between various field quantities, the electromagnetic field B and volume Joule heat distribution S in the metallurgical furnace are obtained by comprehensively solving the equations describing the relationship between the electric field, magnetic field and current density. T ; Specifically, in the embodiment of the present invention,

[0069] Using the three-dimensional finite element method, the solution domain is divided into units, and the unit nodes are used as interpolation points. By solving the control equation (i.e., Maxwell equations) and introducing the potential function (i.e., the constitutive relationship between various field quantities) as an intermediate auxiliary conversion quantity, the electromagnetic field B and Joule heat distribution S in the metallurgical furnace are obtained. T :

[0070]

[0071] Where, J * represents the conjugate complex number of current density, V represents the solution domain, J represents the current density, and σ represents the conductivity.

[0072] Simplified Maxwell equations:

[0073] Where, Represents the Hamiltonian operator, which is the vector sum of the partial derivatives of a physical quantity in the three coordinate directions of space, E represents the electric field intensity, B represents the magnetic flux density, t represents time, H represents the magnetic field intensity, J represents the current density, D represents the electric flux density, ρ V represents the charge density;

[0074] The constitutive relationship between various field quantities is expressed as:

[0075] J = σE, B = μH, D = εE, where σ represents electrical conductivity, μ represents magnetic permeability, and ε represents dielectric constant;

[0076] Step 6: Export the electromagnetic field calculation results as an external file in the ".mag" format, and then load it onto the flow field as a source item to realize the simulation calculation of the flow field motion driven by electromagnetic force. Figure 3 Figure 1 shows a schematic diagram of converting an electromagnetic field into a first format file in an embodiment of the present invention. Specifically, the ".mag" file format is as follows: the first line is the data file index identifier, the second line is the number of numerical points in the X, Y, and Z directions of three-dimensional space, the third, fourth, and fifth lines are the numerical ranges of the model coordinates in the X, Y, and Z directions, respectively, the sixth line is the magnetic field (0 for DC and 1 for AC) and the frequency, and subsequent lines correspond to the magnetic field vectors of each numerical point.

[0077] Step 7: When loading the electromagnetic field, the volume Joule heat calculation results are loaded as the internal heat source for temperature field solution, and the thermal boundary conditions are set according to the production environment to calculate the temperature field distribution inside the furnace and the furnace wall brick lining under the coupling of the electromagnetic field, flow field and temperature field. In terms of setting the thermal boundary conditions, the outer surface of the furnace shell conducts convection heat transfer and thermal radiation heat transfer with the copper water jacket and the surrounding air at the same time. During the simulation calculation process, the radiation term is converted into a composite heat transfer coefficient, which is equivalent to a surface convection heat transfer coefficient. Therefore, the convection heat transfer coefficient between the outer surface of the furnace shell and the copper water jacket is controlled at 100~500W / (m 2 ·K), the convection heat transfer coefficient between the outer surface of the furnace shell and the surrounding air is controlled at 5~20W / (m 2 ·K), specifically, in the embodiment of the present invention, the convection heat transfer coefficients of the outer surface of the furnace shell, the copper water jacket and the surrounding air are respectively taken as 210W / (m 2 ·K)、10W / (m 2 K);

[0078] Step 8: By jointly solving the molten pool flow equation and the system heat transfer equation, a coupled electromagnetic field-flow field-temperature field simulation is performed to obtain isothermal maps of the furnace interior and the furnace wall brick lining of the three-phase AC metallurgical electric furnace. Combined with the slag phase solidification temperature of 1000°C to 1200°C, the molten pool boundary is determined. The distance between the molten pool boundary and the furnace wall brick lining is the thickness of the slag layer on the furnace wall.

[0079] The embodiment of the present invention also describes the coupled calculation process of the electromagnetic field, flow field, and temperature field:

[0080] Grid division of the calculation model of three-phase AC metallurgical furnace;

[0081] The molten pool flow equation and the system heat transfer equation are established by introducing the electromagnetic force source term F into the molten pool flow equation and the Joule heat source term S into the system heat transfer solution. T , realize electromagnetic field-flow field-temperature field coupling simulation calculation;

[0082] The isothermal diagram of the furnace interior and furnace wall brick lining is obtained based on the thermal boundary conditions.

[0083] The molten pool flow equation is expressed as:

[0084] F=J×B+ρ[1-β(T-T0)]g,

[0085] Where ρ is the melt density, ν is the velocity vector, P is the pressure, and μ is the eff represents the effective viscosity of the melt, β represents the volume expansion coefficient, g represents the acceleration of gravity, T represents the temperature of a certain point in the melt, T0 represents the reference point temperature, and F represents the body force, including electromagnetic force and buoyancy;

[0086] The heat transfer equation of the system is expressed as: Where C p represents the constant pressure heat capacity, k eff represents the effective thermal conductivity, S T Indicates internal heat source.

[0087] The embodiment of the present invention also provides a simulation system for the thickness of slag hanging on the inner wall of an electric furnace, the system comprising a first solving unit, a parameter determining unit, an excitation unit, a second solving unit, a flow field determining unit, a temperature field determining unit, a boundary determining unit and a thickness determining unit.

[0088] A first solving unit is used to determine a solution domain based on a three-dimensional simulation model of the electric furnace;

[0089] a parameter determination unit, configured to assign material parameters to the three-dimensional simulation model;

[0090] an excitation unit, configured to apply an excitation source to the three-dimensional simulation model;

[0091] A second solving unit is used to solve the electromagnetic field and volume Joule heating of the three-dimensional simulation model after assigning material parameters and applying an excitation source;

[0092] a flow field determining unit, communicatively connected to the second solving unit, and configured to determine a flow field distribution according to the electromagnetic field;

[0093] a temperature field determining unit, communicatively connected to the second solving unit, and configured to determine a temperature field distribution according to the volume Joule heating;

[0094] a boundary determination unit, respectively connected to the flow field determination unit and the temperature field determination unit for determining the molten pool boundary according to the flow field distribution and the temperature field distribution;

[0095] The thickness determination unit is in communication with the boundary determination unit and is used to determine the thickness of the slag hanging on the inner wall of the electric furnace according to the molten pool boundary.

[0096] Specifically, the parameter determination unit is used to assign material parameters of different components to the three-dimensional simulation model, wherein the components include a graphite electrode, a slag layer and a metal layer, and the material parameters include electrical conductivity and relative magnetic permeability.

[0097] Specifically, the flow field determination unit includes a conversion module and a loading module.

[0098] The conversion module is used to convert the electromagnetic field into a first format file;

[0099] The loading module is in communication with the conversion module and is used to load the converted electromagnetic field onto the flow field in a source term manner to determine the flow field distribution.

[0100] Specifically, the temperature field determination unit includes a thermal boundary module and a first determination module.

[0101] The thermal boundary module is used to determine the thermal boundary conditions according to the electric furnace production environment;

[0102] The first determination module is communicated with the thermal boundary module and is used to determine the volume Joule heat as the internal heat source of the temperature field, and determine the temperature field distribution inside the furnace and the furnace wall brick lining under the coupling action of the electromagnetic field, flow field and temperature field according to the thermal boundary conditions.

[0103] Specifically, the boundary determination unit includes an image determination module and a second determination module.

[0104] The image determination module is used to perform electromagnetic field-flow field-temperature field coupling simulation calculation on the flow field distribution and the temperature field distribution to obtain isothermal lines of the furnace hearth and the furnace wall brick lining;

[0105] The second determination module is in communication with the image determination module and is configured to determine the molten pool boundary based on the isotherm diagram in combination with the solidification temperature of the slag phase.

[0106] Specifically, the thickness determination unit is used to determine the thickness of the slag hanging on the inner wall of the electric furnace according to the distance between the molten pool boundary and the furnace wall brick lining.

[0107] The method and system for simulating the thickness of slag hanging on the furnace wall of the present invention adopt the "slag hanging" method to produce a layer of solid slag on the surface of the lining of the metallurgical electric furnace, which is an effective method to increase the service life of the furnace lining. In view of the shortcomings of the existing technology, a simulation and calculation method for the thickness of slag hanging on the wall of a metallurgical electric furnace based on electromagnetic field-flow field-temperature field coupling simulation is disclosed, which solves the problems of long testing cycle, high cost, low precision and so on in the existing technology. The method has strong versatility and realizes the rapid confirmation of the thickness of slag hanging on the furnace wall during the heating production process of the metallurgical electric furnace, shortens the research and development cycle, and reduces the research and development cost. The present invention also takes into account the flow and heat transfer characteristics of the molten pool under the action of electromagnetic force stirring, and obtains simulation analysis results that can comprehensively and truly reflect the temperature field distribution status of the interior of the metallurgical electric furnace and the furnace wall brick lining, and on this basis, makes a reasonable prediction of the thickness of the inner wall slag, which can be used to identify potential production problems and optimize the production operation of the metallurgical electric furnace.

[0108] Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein; and these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for simulating the thickness of slag hanging on the wall of an electric furnace, characterized in that: The method comprises: Determining a solution domain based on a three-dimensional simulation model of the electric furnace, and assigning material parameters and applying an excitation source to the three-dimensional simulation model; Solving the electromagnetic field and volume Joule heating of the three-dimensional simulation model after assigning material parameters and applying an excitation source; Determining the flow field distribution according to the electromagnetic field, and determining the temperature field distribution according to the volume Joule heat, wherein determining the temperature field distribution according to the volume Joule heat includes: Determine thermal boundary conditions based on the electric furnace production environment; Determine the volume Joule heat as the internal heat source of the temperature field, and determine the temperature field distribution inside the furnace and the furnace wall brick lining under the electromagnetic field-flow field-temperature field coupling according to the thermal boundary conditions; Determining the molten pool boundary according to the flow field distribution and the temperature field distribution includes: performing electromagnetic field-flow field-temperature field coupling simulation calculation on the flow field distribution and the temperature field distribution to obtain isothermal lines of the furnace hearth and the furnace wall brick lining; Determining the molten pool boundary according to the isotherm diagram in combination with the solidification temperature of the slag phase; The thickness of the slag hanging on the inner wall of the electric furnace is determined according to the distance between the molten pool boundary and the furnace wall brick lining.

2. The method for simulating the thickness of slag hanging on the inner wall of an electric furnace according to claim 1, characterized in that: Assigning material parameters to the three-dimensional simulation model includes assigning material parameters to different components of the three-dimensional simulation model, wherein: The components include a graphite electrode, a slag layer and a metal layer, and the material parameters include electrical conductivity and relative magnetic permeability.

3. The method for simulating the thickness of slag hanging on the inner wall of an electric furnace according to claim 1 or 2, characterized in that: Determining the flow field distribution according to the electromagnetic field includes: Converting the electromagnetic field into a first format file; The converted electromagnetic field is loaded onto the flow field in a source term manner to determine the flow field distribution.

4. A simulation system for the thickness of slag hanging on the wall of an electric furnace, characterized in that: The system includes a first solving unit, a parameter determining unit, an excitation unit, a second solving unit, a flow field determining unit, a temperature field determining unit, a boundary determining unit and a thickness determining unit. A first solving unit is used to determine a solution domain based on a three-dimensional simulation model of the electric furnace; a parameter determination unit, configured to assign material parameters to the three-dimensional simulation model; an excitation unit, configured to apply an excitation source to the three-dimensional simulation model; A second solving unit is used to solve the electromagnetic field and volume Joule heating of the three-dimensional simulation model after assigning material parameters and applying an excitation source; a flow field determining unit, communicatively connected to the second solving unit, and configured to determine a flow field distribution according to the electromagnetic field; a temperature field determining unit, communicatively connected to the second solving unit, and configured to determine a temperature field distribution according to the volume Joule heat; The temperature field determination unit includes a thermal boundary module and a first determination module. The thermal boundary module is used to determine the thermal boundary conditions according to the electric furnace production environment; The first determination module is in communication with the thermal boundary module and is used to determine the volume Joule heat as the internal heat source of the temperature field, and determine the temperature field distribution inside the furnace and the furnace wall brick lining under the electromagnetic field-flow field-temperature field coupling according to the thermal boundary condition; a boundary determination unit, respectively connected to the flow field determination unit and the temperature field determination unit for determining the molten pool boundary according to the flow field distribution and the temperature field distribution; The boundary determination unit includes an image determination module and a second determination module. The image determination module is used to perform electromagnetic field-flow field-temperature field coupling simulation calculation on the flow field distribution and the temperature field distribution to obtain isothermal lines of the furnace hearth and the furnace wall brick lining; The second determination module is in communication with the image determination module and is configured to determine the molten pool boundary based on the isotherm diagram in combination with the solidification temperature of the slag phase; The thickness determination unit is in communication with the boundary determination unit and is used to determine the thickness of the slag hanging on the inner wall of the electric furnace according to the distance between the molten pool boundary and the furnace wall brick lining.

5. The electric furnace inner wall slag thickness simulation system according to claim 4, characterized in that: The parameter determination unit is used to assign material parameters of different components to the three-dimensional simulation model, wherein: The components include a graphite electrode, a slag layer and a metal layer, and the material parameters include electrical conductivity and relative magnetic permeability.

6. The electric furnace inner wall slag thickness simulation system according to claim 4 or 5, characterized in that: The flow field determination unit includes a conversion module and a loading module. The conversion module is used to convert the electromagnetic field into a first format file; The loading module is in communication with the conversion module and is used to load the converted electromagnetic field onto the flow field in a source term manner to determine the flow field distribution.

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