Methods, systems, equipment, and media for obtaining the average heat flux density of a billet crystallizer

Abstract

This invention discloses a method, system, equipment, and medium for obtaining the average heat flux density of a casting billet crystallizer. The method includes: using a drive mechanism to drive a dummy bar to pull the continuously cast billet from the crystallizer to the crystallizer outlet at a preset speed; the continuously cast billet inside the crystallizer being externally cooled and divided into multiple state regions with different physical states; determining the average temperature of each state region based on historical and experimental data; and calculating the average heat flux density based on the initial steel temperature, average temperature, corresponding heat dissipation area, casting speed, and the corresponding mass, specific heat capacity, and solid-liquid phase temperature of each region. This determines a reasonable average heat flux density, reflecting the heat dissipation state of the crystallizer. For high casting speeds in continuous casting machines, this method can effectively provide a reference for ensuring the preset thickness of the solidified billet shell.

Description

Technical Field

[0001] This invention relates to the field of heat transfer technology for continuous casting machine crystallizers, and in particular to a method, system, equipment, and medium for obtaining the average heat flux density of a billet crystallizer. Background Technology

[0002] As continuous casting machine speeds gradually increase, the cooling function of the crystallizer becomes increasingly crucial. Ensuring the thickness of the solidified billet shell at the crystallizer exit under high casting speeds, thereby guaranteeing normal continuous casting, has become a key technology for improving continuous casting machine speeds. The heat transfer state of the crystallizer determines the solidification state of the solidified billet shell within the crystallizer. A thorough understanding of the heat transfer behavior of the crystallizer is beneficial for improving its heat transfer conditions. Especially with the gradual increase in casting speeds for small billets, the cooling and solidification process of the crystallizer has become a critical factor in increasing casting speeds.

[0003] The average heat flux density of the crystallizer is one of the parameters reflecting its heat dissipation status. In existing technologies, the average heat flux density is determined by calculating the flow rate and temperature rise of the crystallizer cooling water. However, in actual design, the cooling water volume and temperature rise cannot be determined in advance. Furthermore, the cooling water volume will vary depending on the type of continuous casting machine, casting speed, and cross-section. For example, China Metallurgical Southern Steel Co., Ltd. developed a formula for calculating the heat flux density of the crystallizer. Its main principle is to calculate the volume and mass of the solidified billet shell at the crystallizer outlet, then calculate the heat dissipation of the solidified billet shell, and finally calculate the average heat flux density. This method only considers the heat dissipation of the solidified billet shell, ignoring the heat dissipation of the mushy zone and the molten steel zone, resulting in a slight discrepancy between the calculated average heat flux density and the actual situation. Therefore, there is an urgent need for a method, system, equipment, and medium for obtaining the average heat flux density of the casting crystallizer. Summary of the Invention

[0004] The embodiments of the present invention provide a method, system, equipment and medium for obtaining the average heat flux density of a billet crystallizer, which at least partially solves the technical problem of large error in obtaining the average heat flux density of molten steel in the prior art, and achieves a more reasonable and accurate technical effect in obtaining the average heat flux density.

[0005] Firstly, to solve the above-mentioned technical problems, embodiments of the present invention provide the following technical solutions:

[0006] A method for obtaining the average heat flux density of a billet crystallizer includes:

[0007] Obtain the temperature of the molten steel at the start of casting;

[0008] The continuous casting billet is pulled from the crystallizer to the crystallizer outlet at a preset speed by the drive mechanism to drive the dummy bar; the continuous casting billet in the crystallizer is divided into multiple state regions with different physical states under external cooling.

[0009] The average temperature of each state region was determined based on historical and experimental data.

[0010] The average heat flux density is calculated based on the initial steel temperature, average temperature, corresponding heat dissipation area, casting speed, and the corresponding mass, specific heat capacity, and solid-liquid phase temperature of each region.

[0011] Optionally, the step of calculating the average heat flux density described above further includes:

[0012] Based on the above-mentioned preset speed and the above-mentioned effective length of the crystallizer, the running time of the above-mentioned continuous casting billet is calculated;

[0013] Calculate the mass of any of the aforementioned state regions based on their density and volume.

[0014] Based on the specific heat capacity, mass, and temperature changes of the above-mentioned state region, calculate the heat dissipation of the above-mentioned state region;

[0015] The total heat released is obtained by summing up the heat dissipation of all the above-mentioned states.

[0016] Based on the above operating time and total heat, the average heat dissipation power is calculated;

[0017] Based on the above average heat dissipation power and the above heat dissipation area, the average heat flux density is calculated.

[0018] Optionally, after calculating the average heat flux density as described above, the method further includes:

[0019] Based on the effective cooling area of ​​the coolant and the above average heat flux density, calculate the total heat removed by the crystallizer per second.

[0020] Based on the total heat, the specific heat capacity of the coolant, and the temperature difference before and after cooling, calculate the amount of coolant.

[0021] Optionally, after calculating the amount of coolant as described above, the method further includes:

[0022] The average heat flux density value is verified based on historical production data or data obtained from actual production using parameters corresponding to the amount of the aforementioned coolant.

[0023] Optionally, after the molten steel in the crystallizer is divided into multiple state regions with different physical states under external cooling, the method further includes:

[0024] The continuously cast billet inside the crystallizer is sliced ​​along the direction perpendicular to the crystallizer outlet, and the corresponding parameters of the slices are used in subsequent calculations.

[0025] Optionally, the above-mentioned billet can be any one of square billet, slab billet, round billet or irregular billet.

[0026] Secondly, a system for obtaining the average heat flux density of a billet crystallizer is provided, comprising:

[0027] The molten steel temperature acquisition module acquires the molten steel temperature at the start of casting.

[0028] The crystallizer control module uses a drive mechanism to drive the dummy bar to pull the continuous casting billet from inside the crystallizer to the crystallizer outlet at a preset speed; the continuous casting billet inside the crystallizer is divided into multiple state regions with different physical states under external cooling;

[0029] The state region temperature determination module determines the average temperature of each state region based on historical data and experimental data.

[0030] The calculation module calculates the average heat flux density based on the molten steel temperature at the start of casting, the average temperature, the corresponding heat dissipation area, the casting speed, and the corresponding mass, specific heat capacity, and solid-liquid phase temperature of each region.

[0031] Thirdly, an electronic device is provided, comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to perform the steps corresponding to the method described in the first aspect.

[0032] Fourthly, a computer-readable storage medium is provided having a computer program stored thereon, which, when executed by a processor, performs the steps corresponding to the method described in the first aspect.

[0033] One or more technical solutions provided in the embodiments of the present invention have at least the following technical effects or advantages:

[0034] By utilizing the uniform movement of the dummy bar from the meniscus of the crystallizer to the crystallizer outlet, the molten steel inside the crystallizer is divided into multiple state regions with different physical states under external cooling. After the molten steel is cooled, heat loss is calculated according to different states in each region, thereby improving the accuracy and rationality of the final average heat flux density calculation. The heat dissipation state of the crystallizer reflected in this process can effectively provide a reference for the solidified shell thickness under high casting speeds in continuous casting machines. Attached Figure Description

[0035] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0036] Figure 1 A flowchart of a method for obtaining the average heat flux density of a billet crystallizer provided by the present invention;

[0037] Figure 2 This is a half-section view of the model used to calculate the average heat flux density inside the crystallizer in this invention.

[0038] Figure 3 This is another plan view of the model used to calculate the average heat flux density inside the crystallizer in this invention;

[0039] Figure 4 This is a schematic diagram of the internal structure of the crystallizer in the present invention.

[0040] Figure 5 This is a schematic diagram of a system for obtaining the average heat flux density of a billet crystallizer provided by the present invention;

[0041] Figure 6 This is a schematic diagram of the structure of an electronic device provided by the present invention.

[0042] Figure reference numerals: 1. Solidified billet shell zone; 2. Paste zone; 3. Liquid steel zone; 4. Crystallizer; 41. Crystallizer outlet; 42. Crystallizer meniscus; 5. Draw bar. Detailed Implementation

[0043] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations.

[0044] Therefore, the following detailed description of the embodiments of the invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the invention without inventive effort are within the scope of protection of the invention.

[0045] It should be noted that similar labels and letters in the following figures indicate similar items. Therefore, once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures.

[0046] It should be understood that the embodiments of the present invention and the specific features in the embodiments are detailed descriptions of the technical solutions of this application, rather than limitations on the technical solutions of this application. Unless otherwise specified, the embodiments of the present application and the technical features in the embodiments can be combined with each other.

[0047] The technical solution of this invention is to solve the above-mentioned technical problems, and the overall idea is as follows:

[0048] By utilizing the uniform movement of the dummy bar 5 from the meniscus of the crystallizer to the crystallizer outlet, the molten steel inside the crystallizer is divided into multiple state regions with different physical states under external cooling. The mass of each region is calculated, and the heat dissipation of each region is calculated based on the temperature change. The total heat dissipation is obtained by summing all the heat dissipation amounts. Then, based on time and heat dissipation area, the average heat flux density is calculated.

[0049] In this embodiment of the invention, the following are provided: Figure 1 The method shown is for obtaining the average heat flux density of a billet crystallizer, and the method includes steps S101 to S104:

[0050] Step S101: Obtain the temperature of the molten steel at the start of casting;

[0051] It should be noted that the calculation of average heat flux density involves temperature changes, specifically the temperature of the steel grade at different stages from when the molten steel is first poured to when it reaches the outlet via the dummy bar 5. Therefore, it is necessary to measure the initial temperature of the molten steel at the time of pouring as the initial temperature data.

[0052] In step S102, the driving mechanism drives the dummy bar 5 to pull the continuous casting billet from the crystallizer to the crystallizer outlet 41 at a preset speed; the continuous casting billet in the crystallizer 4 is divided into multiple state regions with different physical states under external cooling.

[0053] It should be noted that the drive mechanism is existing technology within continuous casting machines, and its purpose is to pull the dummy bar 5, that is, within the crystallizer 4, to move the dummy bar 5 from the meniscus 42 of the crystallizer to the crystallizer outlet 41. It can be pulled in any manner. For example... Figure 4 As shown, its operation process is as follows: initially in the crystallizer 4, and then after the billet shell solidifies, the ingot rod 5 is pulled downwards. During the pulling process, the molten steel gradually solidifies due to the cooling effect of the coolant in the crystallizer 4; Figure 4 In a stable state, the outermost layer forms a solidified shell region 1, the middle layer forms a paste-like region 2, and the innermost layer remains a liquid steel region 3. Its overall shape is as follows: Figure 2 and Figure 4 As shown, where Figure 2 This is a model of the shape of the billet inside crystallizer 4.

[0054] Step S103: Determine the average temperature of each state region based on historical data and experimental data;

[0055] It should be noted that the molten steel is located in the innermost layer, which has not yet reached solidification or has begun to solidify. Therefore, its temperature can be directly determined by the arithmetic average of the molten steel temperature at the time of casting and the liquidus temperature of the steel grade. The mushy zone 2, however, has begun to solidify but is not completely solidified, i.e., it is in a critical state, and its temperature can be directly determined by converting the liquidus temperature and solidus temperature of the steel grade. Finally, the solidified shell 1 in the outermost layer is determined based on historical and experimental data.

[0056] Step S104: Based on the molten steel temperature at the start of casting, the average temperature, the corresponding heat dissipation area, the casting speed, and the corresponding mass, specific heat capacity, and solid-liquid phase temperature of each region, the average heat flux density is calculated.

[0057] It should be noted that the casting speed is essentially used to calculate the time for pulling the dummy bar 5 or the continuously cast billet, while the average heat flux density is mainly calculated using the power-time ratio. Since the overall calculation requires the entire billet within the crystallizer 4, the calculation is simplified by utilizing the principle that the average heat flux density is equal to the overall value. The simplified process involves slicing the material within the crystallizer 4 along the direction parallel to the crystallizer outlet 41. Molten steel entering the crystallizer from the tundish is horizontally laid on the meniscus 42 of the crystallizer to form the control slices of interest in the model. The cross-section of the slice is the length and width of the crystallizer. The slice begins to solidify from all sides and moves towards the crystallizer outlet 41 at a preset casting speed. Upon reaching the crystallizer outlet 41, the slice, under external cooling conditions, forms state regions with different physical states. The corresponding parameters of the slices are used in subsequent calculations, such as... Figure 2 The shaded area shown.

[0058] The detailed calculation process is as follows:

[0059] Assume the derrick moves to the crystallizer outlet at a pulling speed v in m / min, and the effective length of the crystallizer is L. m h is the latent heat of solidification, taken as 270,000 J / kg; C s T0 is the specific heat capacity of solid steel, in J / (kg*℃); T0 is the temperature of the molten steel at the time of initial pouring, T0. l T is the liquidus temperature of the steel grade. s T represents the solidus temperature of the steel grade. m dL is the average temperature of the solidified shell on the surface of the billet when exiting the crystallizer, in °C; a is the cross-sectional dimension of the small square billet in the crystallizer, in meters; S is the thickness of the solidified shell, in meters; D is the thickness of the mushy zone, in meters. dL is the slice height, A DL This represents the heat dissipation area of ​​the slice. The dimensions and corresponding positions are shown below. Figure 2 and Figure 3 As shown.

[0060] The running time t of the continuously cast billet is calculated based on the preset speed and the effective length of the crystallizer.

[0061]

[0062] Calculate the mass of a state region based on its density and volume.

[0063] The mass m1 of solidified shell region 1:

[0064] m1=ρ s Vs=ρ s ×(aS)×SΔ4×dL (2)

[0065] The mass m2 of the paste region 2:

[0066] m2=ρ sl .V sl =ρ sl ×D×(a-2S-D)×4×dL (3)

[0067] The mass (m3) of the molten steel zone 3:

[0068] m3=ρ l .V l =ρ l ×(a 2 ×dL-V s -V sl (4)

[0069] Where, ρ s ρ is the density of the solidified shell; sl Density of the paste-like region; ρ l The density of liquid steel.

[0070] Calculate the heat dissipation of the state region based on its specific heat capacity, mass, and temperature changes.

[0071] Heat dissipation Q1 in solidified shell zone 1:

[0072] Q1 = [C l (T0-T l )+C eff (T l -T s )+C s (T s -(T s +T m ) / 2)]*m1 (5)

[0073] Heat dissipation Q2 in paste region 2:

[0074] Q2 = [C l (T0-T l )+C eff (T l-(T l +T s ) / 2)]*m2 (6)

[0075] Heat dissipation Q3 in molten steel zone 3:

[0076] Q3 = C l (T0-(T0+T l (7) / 2)*m3

[0077] The total heat released, Q, is obtained by summing the heat dissipation from all state regions. 总 ;

[0078] Q 总 =Q1+Q2+Q3 (8)

[0079] The average heat dissipation power is calculated based on the running time and total heat.

[0080] P = Q 总 / t (9)

[0081] The average heat flux density is calculated based on the average heat dissipation power and heat dissipation area.

[0082]

[0083] Furthermore, after calculating the average heat flux density, the following is also included:

[0084] Based on the effective cooling area of ​​the coolant (i.e., the heat dissipation area of ​​the crystallizer) and the average heat flux density, calculate the total heat Q removed by the crystallizer per second. 带走 ;

[0085]

[0086] It should be noted that this embodiment uses a square billet as an example, therefore the coolant has four cooling surfaces, a*L m This refers to the total surface area of ​​the coolant for heat dissipation. The coolant can be cooling water or other liquids with excellent cooling properties.

[0087] Calculate the amount of coolant F based on the total heat, the specific heat capacity of the coolant, and the temperature difference before and after cooling.

[0088] Based on the formula Q=cm△T, the transformation yields:

[0089]

[0090] Furthermore, after calculating the amount of coolant, the method also includes:

[0091] The average heat flux density value is verified based on historical production data or data obtained from actual production using parameters corresponding to the amount of coolant. The purpose is to verify the calculated data during actual production, to avoid errors caused by instrument damage or other external influencing factors. Verification can be performed by comparing historical data or by repeating the process with data corresponding to the current amount of coolant, thus verifying accuracy.

[0092] Furthermore, the billet can be any of the following: square billet, slab billet, round billet, or irregularly shaped billet.

[0093] It should be noted that although this embodiment uses a square billet for calculation, any of the slabs, round billets, or irregularly shaped billets are also applicable to the method provided by this invention, the only difference being the volume calculation formula.

[0094] For ease of understanding, this embodiment uses a small square billet with dimensions a*a of 160×160 (mm×mm) as an example. Its casting speed v is 4 m / min, the crystallizer length is 1 m, and the effective length is 0.9 m. The average solidified shell thickness at the crystallizer outlet is 10 mm, the mushy zone width is 5 mm, and the average shell temperature T on the billet surface at the outlet is... m =1000℃, casting steel grade is Q235, solidus temperature is T s =1490℃, liquidus temperature T l =1520℃, slice thickness dL length 0.001m.

[0095] Substituting the time elapsed by the plug into formula (1), we get t = 13.5 (s);

[0096] Substituting the heat dissipation of the solidified shell region into formula (5), we get Q1 = 20737.02 (J);

[0097] Substituting the heat dissipation of the mushy region into formula (6), we get Q2 = 2999.11 (J);

[0098] Substituting the heat dissipation of the molten steel into formula (7), we get Q3 = 479.71 (J);

[0099] The corresponding total heat release Q is obtained according to formula (8). 总 =Q1+Q2+Q3=24215.83(J);

[0100] According to formula (9), the average heat dissipation power of the crystallizer is P = 1793.77 (W);

[0101] The average heat flux density is obtained according to formula (10).

[0102] The measured temperature difference between the inlet and outlet cooling water of the crystallizer is 9℃. Therefore, the corresponding cooling water for the crystallizer is as follows:

[0103] According to formula (11), the total heat carried away by the crystallizer per second is Q. 带走 =1614.53 (kW / s);

[0104] According to formula (12), m is obtained 水 = 42.7 kg / s, which translates to 153.7 m after conversion. 3 / h.

[0105] Verification: Based on actual production data from a steel plant, when the casting cross-section is 160×160 (mm×mm), the effective length of the crystallizer is 0.9m, the casting speed is 4.09m / min, and the crystallizer water volume is 150m³. 3 The crystallizer water temperature rose by 9.3℃ per hour. The model calculation results are consistent with the actual production situation on site.

[0106] Based on the same inventive concept, embodiments of the present invention provide a system for obtaining the average heat flux density of a billet crystallizer, such as... Figure 5 As shown, it includes:

[0107] Module 201 for acquiring molten steel temperature at the start of casting;

[0108] The crystallizer control module 202 uses a drive mechanism to drive the dummy bar to pull the continuous casting billet from inside the crystallizer to the crystallizer outlet at a preset speed; the continuous casting billet inside the crystallizer is divided into multiple state regions with different physical states under external cooling;

[0109] The state region temperature determination module 203 determines the average temperature of each state region based on historical data and experimental data.

[0110] The calculation module 204 calculates the average heat flux density based on the molten steel temperature at the start of casting, the average temperature, the corresponding heat dissipation area, the casting speed, and the mass, specific heat capacity, and solid-liquid phase temperature of each region.

[0111] Based on the same inventive concept, embodiments of the present invention provide an electronic device, such as... Figure 6 As shown, it includes: a memory, a processor, and a computer program stored in the memory and capable of running on the processor. When the processor executes the computer program, it implements a method for obtaining the average heat flux density of a billet crystallizer.

[0112] Based on the same inventive concept, this embodiment provides a computer-readable storage medium storing a computer program, characterized in that the program, when executed by a processor, implements a method for obtaining the average heat flux density of a billet crystallizer.

[0113] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0114] Although preferred embodiments of the invention have been described, those skilled in the art, upon learning the basic inventive concept, can make other changes and modifications to these embodiments. Therefore, the appended claims are intended to be interpreted as including both the preferred embodiments and all changes and modifications falling within the scope of the invention.

[0115] Obviously, those skilled in the art can make various modifications and variations to this invention without departing from its spirit and scope. Therefore, if these modifications and variations fall within the scope of the claims of this invention and their equivalents, this invention also intends to include these modifications and variations.

Claims

1. A method for obtaining the average heat flux density of a billet crystallizer, comprising a crystallizer, characterized in that, The method includes: Obtain the temperature of the molten steel at the start of casting; The continuous casting billet is pulled from the crystallizer to the crystallizer outlet at a preset speed by a drive mechanism to drive the dummy bar; the continuous casting billet in the crystallizer is divided into multiple state regions with different physical states under external cooling; the multiple state regions with different physical states include: liquid steel zone, pasty zone, and solidified billet shell zone. Based on historical and experimental data, the average temperature of each of the aforementioned state regions is determined, including: The average temperature of the liquid steel zone is determined based on the arithmetic average of the molten steel temperature and the liquidus temperature of the steel grade at the time of casting. The average temperature of the mushy region is determined based on the arithmetic average of the liquidus temperature and solidus temperature of the steel grade. The average temperature of the solidified shell region was determined based on historical and experimental data. Based on the initial steel temperature, average temperature, corresponding heat dissipation area, casting speed, and the mass, specific heat capacity, and solid-liquid phase temperature of each region, the average heat flux density is calculated. The step of calculating the average heat flux density further includes: The running time of the continuously cast billet is calculated based on the preset speed and the effective length of the crystallizer; Calculate the mass of the state region based on the density and volume of any of the stated state regions; Based on the specific heat capacity, mass, and temperature changes of the state region, the heat dissipation of the state region is calculated, including: Heat dissipation Q1 in the solidified shell region: Q1=[C l (T0 T l )+C eff (T l T s )+C s (T s (T s +T m ) / 2)]*m1; Heat dissipation Q2 in the paste-like region: Q2=[C l (T0 T l )+C eff (T l (T l +T s ) / 2)]*m2; Heat dissipation Q3 in the molten steel zone: Q3=C l (T0 (T0+T l ) / 2)*m3; Among them, C s T0 is the specific heat capacity of solid steel, in J / (kg*℃); T0 is the temperature of the molten steel at the time of initial pouring, T0. l T is the liquidus temperature of the steel grade. s T represents the solidus temperature of the steel grade. m The average temperature of the solidified shell on the surface of the billet when it exits the crystallizer is ℃; m1 is the mass of the solidified shell zone, m2 is the mass of the pasty zone, and m3 is the mass of the liquid steel zone. The total heat released is obtained by summing up the heat dissipation of all the aforementioned state regions; The average heat dissipation power is calculated based on the running time and the total heat. The average heat flux density is calculated based on the average heat dissipation power and the heat dissipation area.

2. The method as described in claim 1, characterized in that, After calculating the average heat flux density, the method further includes: Based on the effective cooling area of ​​the coolant and the average heat flux density, calculate the total heat removed by the crystallizer per second. The amount of coolant is calculated based on the total heat, the specific heat capacity of the coolant, and the temperature difference of the coolant before and after cooling.

3. The method as described in claim 2, characterized in that, After calculating the amount of coolant, the method further includes: The average heat flux density value is verified based on historical production data or data obtained from actual production using parameters corresponding to the amount of coolant.

4. The method as described in claim 1, characterized in that, After the molten steel in the crystallizer is externally cooled and divided into multiple state regions with different physical states, the method further includes: The continuously cast billet inside the crystallizer is sliced ​​along the direction perpendicular to the crystallizer outlet, and the corresponding parameters of the slices are used in subsequent calculations.

5. The method as described in claim 1, characterized in that, The billet can be any one of square billet, slab billet, round billet or irregular billet.

6. A system for obtaining the average heat flux density of a billet crystallizer, used to implement the method for obtaining the average heat flux density of a billet crystallizer as described in any one of claims 1-5, comprising a crystallizer, characterized in that, The system includes: The molten steel temperature acquisition module acquires the molten steel temperature at the start of casting. The crystallizer control module uses a drive mechanism to drive the dummy bar to pull the continuous casting billet from inside the crystallizer to the crystallizer outlet at a preset speed; the continuous casting billet inside the crystallizer is divided into multiple state regions with different physical states under external cooling; The state region temperature determination module determines the average temperature of each state region based on historical data and experimental data. The calculation module calculates the average heat flux density based on the initial steel temperature, the average temperature, the corresponding heat dissipation area, the casting speed, and the mass, specific heat capacity, and solid-liquid phase temperature of each region. The computing module is specifically used for: The running time of the continuously cast billet is calculated based on the preset speed and the effective length of the crystallizer; Calculate the mass of the state region based on the density and volume of any of the stated state regions; Calculate the heat dissipation of the state region based on the specific heat capacity, mass, and temperature change of the state region; The total heat released is obtained by summing up the heat dissipation of all the aforementioned state regions; The average heat dissipation power is calculated based on the running time and the total heat. The average heat flux density is calculated based on the average heat dissipation power and the heat dissipation area.

7. An electronic device, characterized in that, The electronic device includes: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of the method according to any one of claims 1 to 5.

8. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the program is executed by the processor, it implements the steps corresponding to the method as described in any one of claims 1 to 5.

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