Method for establishing time-space temperature field in horizontal continuous casting

Abstract

The present invention belongs to the field of analysis and testing of melting casting solidification temperature fields, and specifically relates to a method for establishing a spatiotemporal temperature field in horizontal continuous casting. This method is applicable to situations such as horizontal continuous casting of copper tube billets where liquid metal solidifies and crystallizes through a graphite crystallizer. By measuring the real-time temperature near the liquid inlet of the crystallizer at different depths, different circumferential positions, and different times of day, and by using a data correspondence processing method, a quantitative relationship is established between the temperature near the liquid inlet of the fore chamber of the holding furnace and the temperature at a designated position of the crystallizer, thereby establishing a spatiotemporal temperature field for pouring and solidification of the liquid metal during the continuous casting process. The method for establishing a spatiotemporal temperature field in continuous casting proposed by the present invention requires few experiments, has strong practical operability, and is relatively low in cost; it can determine the location where an air gap is generated between the solidified shell billet and the crystallizer; and it can also establish a quantitative correspondence between the casting temperature and the temperature at a designated position of the crystallizer, laying a data foundation for the quantitative regulation of the crystallization temperature field.

Description

Technical Field

[0001] The invention relates to analysis and testing of melting casting and solidification temperature fields, in particular to a method for establishing a horizontal continuous casting time-space temperature field. Background Art

[0002] Under the action of cooling water, the solidification process from molten copper to copper tube billets involves a highly nonlinear change in physical state, involving the coupling of flow, temperature, microstructure, and stress fields. The temperature field, acting as a bridge between the flow and microstructure fields, plays a central role in the analysis and study of the entire solidification process. The crystallizer, the most critical component of the entire continuous casting equipment and often referred to as the "heart" of the continuous casting machine, has a crucial and direct impact on the quality of the ingot. Therefore, revealing the temperature field within the crystallizer is an important method and approach for studying the microstructure, properties, and quality of the ingot during the continuous casting process.

[0003] There are two main methods for obtaining the temperature field during the continuous casting process: theoretical calculation and numerical simulation, and direct measurement. Among them, the numerical simulation and theoretical calculation method establishes a temperature field model through a series of calculations such as heat transfer mechanism and calculation, treatment of solidification latent heat, treatment of thermal conductivity, continuity equation, momentum conservation equation, and energy conservation equation. For example, the document "Calculation and Verification of Temperature Field of Downward Continuous Directional Solidification Thin-Walled Copper Tube" establishes a one-dimensional steady-state mathematical and physical model based on solidification principles, heat balance, and boundary condition assumptions to establish the influence relationship of various process parameters on the entire temperature field. However, this method makes many assumptions about thermophysical parameters and boundary conditions, fails to consider the effects of gravity, interface air gaps, etc., and is difficult to accurately reveal the temperature field during the actual solidification process. In addition, the influence of air gap on the heat flow equation was proposed and considered as early as the 1990s in the document "Finite Element Numerical Simulation of the Solidification Process of Continuous Casting Ingots in the Crystallizer", and the influence of air gaps at the corners of the ingot on the solidification behavior of the shell was studied. However, there are many factors affecting the location of the air gap in the actual solidification process and the influence of the air gap on the crystallizer temperature field after the air gap is generated. It is difficult to accurately simulate this information quantitatively through simulation.

[0004] The direct measurement methods mainly include nail shooting method, thermocouple testing method, etc. Among them, the nail shooting method is proposed in patent CN101992281B, which is usually used as a way to test the shell thickness of steel billets and the like to test the temperature of solidified ingots. This method can measure the shell thickness and temperature of the second cooling zone and the air cooling zone, but it is difficult to measure the temperature of a cold zone enclosed inside the copper sleeve. It can only be estimated using a mathematical model, and cannot truly reflect the temperature field of the crystallizer in a cold crystallization zone. The paper "Numerical Simulation of Horizontal Continuous Casting Process of Copper Tubes and Optimization of Crystallizer Structural Parameters" points out that two thermocouples with an angle of 60° are used to test the crystallizer temperature as a reference for comparison with numerical simulations. The temperature field data in a certain area can be obtained, but there is a lack of systematic temperature results in space, and it is difficult to reflect the change law of the temperature field with the crystallizer space.

[0005] Up to now, there is no testing method for the spatiotemporal temperature field of the graphite crystallizer during the horizontal continuous casting process of copper tube billets, which cannot reflect the change of the spatial temperature field of the entire crystallizer over time. Therefore, it is necessary to test the crystallizer temperature during the solidification process of copper tube billets and establish a corresponding temperature field model. Summary of the Invention

[0006] The technical problem to be solved by the present invention is to overcome the deficiencies in the prior art and provide a method for establishing a time-space temperature field in horizontal continuous casting.

[0007] The technical solution adopted by the present invention to solve the technical problem is: a method for establishing a horizontal continuous casting time-space temperature field, comprising the following process steps:

[0008] S1: According to the temperature measurement depth of the crystallizer and the size of the thermocouple for temperature measurement in the fore chamber of the holding furnace, the thermocouple mounting holes in the crystallizer and the thermocouple mounting holes on the fore chamber cover are processed;

[0009] S2: Apply high-temperature sealant evenly on the surface of the mold temperature measuring thermocouple, insert the mold temperature measuring thermocouples at different circumferential positions into the corresponding thermocouple mounting holes of the mold, and fix the mold temperature measuring thermocouples using a fixing device; fix the holding furnace fore chamber temperature measuring thermocouple on the fore chamber cover plate;

[0010] S3: Connect the mold temperature measuring thermocouple to the paperless recorder, and then connect the pouring temperature measuring thermocouple to the corresponding temperature test and control module of the furnace control system;

[0011] S4: Under the premise of turning on the paperless recorder and the temperature test and control module, the continuous casting experiment is carried out and the temperature at each location during the experiment is recorded;

[0012] S5: After the experiment, the temperature database files recorded in the paperless recorder and the casting system are taken out, processed and extracted by the terminal device, and the pouring temperature in minutes - the temperature data at different circumferential positions at the specified depth of the crystallizer are output;

[0013] S6: Repeat steps S1 to S5 to sequentially carry out temperature measurement experiments at different axial depths of the crystallizer and obtain corresponding temperature field data;

[0014] S7: Conduct temperature measurement experiments at different axial depths in the same circumferential area and obtain corresponding temperature data. Perform average representative temperature processing on several temperature data and perform high-order polynomial fitting based on Newton interpolation method to determine the temperature interpolation at different circumferential positions. This will establish the temperature field that changes with time at different axial depths and different circumferential positions of the crystallizer, and obtain a unified spatiotemporal temperature field model of pouring temperature-different axial depths-different circumferential positions.

[0015] The method of the present invention solves the problem of testing and establishing the temperature field during the continuous casting of copper tube billets, and determines the testing and analysis method of the spatiotemporal temperature field of the crystallizer under continuous casting conditions; through the establishment of the spatiotemporal temperature field, accurate temperature boundary conditions are provided for continuous casting multi-field coupled finite element simulation, and the optimization and determination of model parameters are achieved; in addition, accurate temperature field information is obtained to provide a quantitative basis for process control of the water cooling system; it is helpful to determine the accurate crystallization area and solidification state, and with the help of the comprehensive control of the traction rate, water flow rate and water temperature, the crystallization area can be quantitatively regulated and controlled and the continuous casting solidification state can be intervened, thereby effectively improving the service life of the crystallizer mold and the quality and precision of the cast billet product.

[0016] Furthermore, in step S1, the thermocouple mounting holes in the crystallizer are set with 7 groups of different axial depths, and a short drill bit and a long drill bit are used in combination to perform deep hole drilling.

[0017] Furthermore, in step S1, the thermocouple mounting holes in the crystallizer are set at four different circumferential positions.

[0018] Furthermore, the method for determining the temperature data of the measurement experiment in step S7 is as follows:

[0019] By the least mean square error method, S min To optimize the target, the average representative temperature over multiple days at each axial depth in the same circumferential area is obtained, and the calculation formula is as follows:

[0020]

[0021] Where N represents the number of sampled data; Indicates the temperature value corresponding to each moment,

[0022] It represents the average temperature at several moments, that is, the average representative temperature; Indicates the temperature at different axial depths and different circumferential positions, P m Indicates different traction programs, which correspond to the traction rate and satisfy a certain relationship; C1 indicates circumferential position 1; Z d Indicates different depth positions from the outer end surface of the graphite crystallizer;

[0023] The average representative temperature at different axial depths can be approximated by a high-order polynomial fitting method. The corresponding polynomial function can be constructed by using the Newton interpolation method, which satisfies the following relationship:

[0024]

[0025] in, represents the temperature field obtained by polynomial fitting under different traction procedures at circumferential position 1; and Indicates the temperature value at position Z0; express By calculating the d-order difference quotients, we can finally obtain a certain traction program and the temperature field curve along the axial direction at a determined circumferential position;

[0026] Also by the minimum mean square error method, S min To optimize the target, the average representative temperature over multiple days at different circumferential positions at the same axial depth is obtained. The calculation formula is as follows:

[0027]

[0028] in, Indicates the temperature value at a certain traction process, a certain axial depth, or a certain circumferential position at a certain time; Represents the average representative temperature of several temperature values that meet the minimum mean square error condition; C k Indicates different circumferential positions;

[0029] The average representative temperature at different circumferential positions, taking circumferential position 1 as a reference, can be used to obtain the relationship between the temperature at other circumferential positions and the temperature at circumferential position 1. By determining the temperature field polynomial at the circumferential position, the temperature field at other circumferential positions can be derived, and finally the spatiotemporal temperature field at different pulling rates, different axial depths, and different circumferential positions can be obtained. The specific expression is shown in Formula 4:

[0030]

[0031] Here, d also represents different circumferential positions.

[0032] The beneficial effects of the present invention are:

[0033] This method can realize real-time temperature measurement and establishment of spatiotemporal temperature field during continuous casting. By simultaneously measuring and establishing the temperature field at different circumferential positions of the crystallizer, the circumferential asymmetric distribution of the temperature field during solidification can be clarified. By indirectly realizing simultaneous measurement and establishment of the temperature field at different axial positions of the crystallizer, the axial non-uniform distribution of the temperature field during solidification can be clarified. The combination of the two methods can realize the establishment of the temperature field on the three-dimensional spatial scale of the crystallizer. The temperature data correspondence method can be used to eliminate the differences between different experiments, reduce the experimental test cost, and reduce the temperature test error at different axial positions between different experiments. While reducing the number of unnecessary experiments, the accuracy of the experiment is guaranteed.

[0034] This method achieves the coordination and correlation between pouring temperature and mold temperature measurements, establishes the influence of pouring temperature on the spatiotemporal temperature field of the mold, and provides a quantitative basis for the dynamic regulation of water cooling parameters, ensuring the accuracy of water cooling regulation.

[0035] This method measures the temperature at different axial depths in the same circumferential area and, through a limited number of temperature measurement experiments at different axial depths, can establish the spatiotemporal temperature field of the continuous casting solidification process and reflect the temperature variation over space and time. Furthermore, the relationship between the pouring temperature of the holding furnace and the temperature at a specified position in the crystallizer is established by using the temperature data correspondence method. The experimental operation is relatively simple, the number of experiments is small, and the testing cost is relatively low.

[0036] By combining this method with the flow field-temperature field-tissue field coupled finite element calculation model, and comparing the temperature values at a certain position in the crystallizer obtained through experiments and simulation calculations, the crystallization position during the solidification process can be accurately determined, providing a quantitative basis for the quantitative control of the crystallization area and solidification structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] The present invention will be further described below with reference to the accompanying drawings and examples.

[0038] Figure 1 It is a flow chart of the present invention.

[0039] Figure 2 It is a physical connection diagram of the present invention.

[0040] Figure 3 It is a schematic diagram of temperature measurement at different axial positions in the same circumferential area of the present invention.

[0041] Figure 4 It is a schematic diagram of temperature data processing at different axial positions in the same circumferential area of the present invention.

[0042] Figure 5 It is a corresponding schematic diagram of the temperature at different circumferential positions at the same depth of the present invention.

[0043] In the figure: 1. Crystallizer, 2. Holding furnace fore chamber temperature measurement thermocouple, 3. Fore chamber cover, 4. Temperature test and control module, 5. Crystallizer temperature measurement thermocouple. DETAILED DESCRIPTION

[0044] The present invention will now be further described with reference to the accompanying drawings and preferred embodiments. These drawings are simplified schematic diagrams, which only illustrate the basic structure of the present invention in a schematic manner, and therefore only show the components related to the present invention.

[0045] like Figure 1 As shown, according to the temperature measurement depth of the crystallizer 1 and the size of the thermocouple 2 for measuring the temperature of the fore chamber of the holding furnace, the thermocouple mounting holes in the crystallizer 1 and the thermocouple mounting holes on the fore chamber cover 3 are processed; for the crystallizer 1, combined with the processing experience of continuous casting of copper tube billets, as shown Figure 2As shown, 7 groups of different axial depth settings are used, and the corresponding depths are 200mm, 185mm, 170mm, 155mm, 140mm, 125mm, and 110mm. For holes with larger depths, a short drill bit (working area length is about 80mm) is used in combination with a long drill bit to drill holes to ensure the shape and position accuracy of the holes. Taking into account the symmetry of the insulation furnace structure, the A and B flow crystallizer liquid inlets are selected as temperature test points, and the corresponding thermocouple opening diameter is 3.2mm. Apply high-temperature sealant evenly to the surface of the crystallizer temperature measuring thermocouple 5, insert the crystallizer temperature measuring thermocouples 5 at different circumferential positions into the corresponding thermocouple mounting holes of the crystallizer 1, let it stand for 1 hour, and after the high-temperature sealant solidifies, proceed with the installation process of the crystallizer 1; use a top screw to tighten the insulation furnace forebore temperature measuring thermocouple near the liquid inlet to the fixed sleeve of the forebore cover plate 3. Connect the mold temperature thermocouple 5 to a dedicated paperless recorder, then connect the pouring temperature thermocouple to the corresponding temperature test and control module 4 of the furnace control system, and write the signal to the WinCC system (Windows Control Center, which is the first process monitoring system to use the latest 32-bit technology and has good openness and flexibility). With the paperless recorder and temperature test and control module 4 turned on, a continuous casting experiment was carried out, recording the temperatures at various locations during the experiment and measuring the relevant temperatures throughout the life cycle of the crystallizer 1. After the experiment was completed, the temperature database files recorded in the paperless recorder and WinCC system were copied out. A data processing program written in Python was used to match and extract the temperature data obtained from different systems, using the continuous casting date and time as a comparison reference, and output the pouring temperature in minutes and the temperature data at different circumferential positions at the specified depth of the crystallizer. Repeat the above steps, and carry out the temperature measurement experiment at different axial depths of the crystallizer 1 in sequence (from deep to shallow) and obtain the corresponding temperature field data. Temperature measurement experiments at different axial depths in the same circumferential area were carried out, and the corresponding temperature data were obtained. A temperature data correspondence method was designed to establish a correspondence between the pouring temperature and the temperature at different axial depths in a certain circumferential area of the crystallizer 1. Finally, a unified spatiotemporal temperature field model of pouring temperature-different axial depths-different circumferential positions was obtained.

[0046] The service life of the graphite crystallizer 1 under normal traction conditions is 5 to 10 days. In order to facilitate error correction, data within 5 days under normal traction (stable continuous casting) are selected, and a set of data is extracted every hour. In order to improve the representativeness of the data, the data extracted each time is the average value of the temperature data within ±2.5 minutes of the extraction time as the temperature representative value at that moment. The temperature at the right quadrant position (circumferential position 1) is used as the benchmark. Taking the most commonly used traction program 7 as an example, the temperature field at different axial depths in the same circumferential area is obtained, that is, By the least mean square error method, S min To optimize the target, the average representative temperature over multiple days at each axial depth is obtained.

[0047]

[0048] Where N represents the number of sampled data, which is 24×5=120 times; It represents the temperature value at each moment under the condition of traction procedure 7 and circumferential position 1. The corresponding experimental data are as follows Figure 4 (c) is shown by gray dots; The average temperature at several moments (average representative temperature) under the conditions of traction procedure 7 and circumferential position 1 is shown. The average representative temperature at different axial depth positions is obtained. As shown in Table 3, the corresponding data points are Figure 4 As shown by the black dots in (c).

[0049] Table 1 Relationship between traction program and traction rate

[0050]

[0051] C k Indicates different circumferential positions, k = 1, 2, 3, 4, that is, C1, C2, C3, C4 represent circumferential positions 1 (right quadrant point), 2 (upper quadrant point), 3 (left quadrant point), 4 (lower quadrant point), respectively; Z d Indicates different depths from the outer end surface of the graphite crystallizer, d = 0, 1, 2, 3, 4, 5, 6, Z0, Z1, Z2, Z3, Z4, Z5, Z6 represent axial depths of 110mm, 125mm, 140mm, 155mm, 170mm, 185mm, 200mm respectively.

[0052] The service life of the graphite crystallizer 1 under normal traction conditions is 5 to 10 days. In order to facilitate error correction, data within 5 days under normal traction (stable continuous casting) are selected, and a set of data is extracted every hour. In order to improve the representativeness of the data, the data extracted each time is the average value of the temperature data within ±2.5 minutes of the extraction time as the temperature representative value at that moment; the temperature at the right quadrant position (circumferential position 1) is used as the benchmark to obtain the temperature field at different axial depths in the same circumferential area, that is, By the least mean square error method, S min For the optimization purpose, the average representative temperature over multiple days is obtained at each axial depth.

[0053]

[0054] Where N represents the number of sampled data, which is 24×5=120 times; Indicates the temperature value corresponding to each moment, Represents the average temperature at several moments (average representative temperature); the average representative temperature at different depths at the circumferential position 1 under the conditions of traction procedures 5, 6, 7, and 8 obtained by the above method Respectively as Figure 4 Indicated by black dots in (a), (b), (c), and (d).

[0055] Table 2 Average representative temperature values under traction procedure 7 and circumferential position 1

[0056]

[0057] For the obtained average representative temperatures at 7 different axial depths, the corresponding polynomial function can be constructed using the Newton interpolation method. First, the difference quotients of each order need to be calculated. The corresponding results are shown in Table 3.

[0058] Table 3 Corresponding difference quotients of Newton interpolation method for different axial depth temperatures under the conditions of traction procedure 7 and circumferential position 1

[0059]

[0060]

[0061] The corresponding polynomial expression when the program is 7 is as follows:

[0062]

[0063] Substituting the corresponding difference quotient values into the expression, we can get:

[0064]

[0065] After sorting out the above formula, the obtained axial depth-temperature polynomial results are as follows:

[0066]

[0067] like Figure 5 As shown in the figure, in order to achieve the corresponding relationship between the temperature fields at different circumferential positions at the same test depth, the temperature data at an axial depth of 200 mm is taken as an example. The data within 5 days is read, and a set of data is extracted every hour. In order to improve the representativeness of the data, the data extracted each time is the average value of the temperature data within ±2.5 minutes of the extraction time. The temperature average value is also obtained by the minimum mean square error method. The corresponding formula is as follows:

[0068]

[0069] in, Indicates the temperature values at different circumferential positions at the axial depth of 200 mm (Z6) during traction procedure 7 (P7). The average representative temperature at different circumferential positions that meet the minimum mean square error condition at the axial depth of 200 mm (Z6) and represent the traction procedure 7 (P7). According to the formula of the minimum mean square error, the average temperature is obtained. The corresponding values are shown in Table 4.

[0070] Table 4 Average temperature at different circumferential positions at traction procedure 7 and axial depth 200 mm

[0071]

[0072] The average representative temperature at the four different quadrant points, taking quadrant point 1 as a reference, can be obtained to obtain the relationship between the temperature at the other three quadrant positions and the temperature at quadrant 1, which are defined as

[0073] The corresponding temperature difference values are calculated and shown in Table 5.

[0074] Table 5 Average representative temperatures at different circumferential positions and interpolation at position 1

[0075]

[0076] Therefore, we have:

[0077]

[0078] The above method is used to obtain the temperature values at all circumferential positions of the pulling procedure 7 and the axial depth of 200 mm. By performing the same processing on the temperature data at different axial depths, the average representative temperature value at all axial positions at different axial depths can be obtained. Therefore, the temperature data of different axial positions at the same circumferential position are also obtained. By using the above polynomial fitting method, the temperature change curves at different axial depths at the circumferential position can be obtained, and finally the construction of the spatiotemporal temperature field of the graphite crystallizer 1 is successfully realized, and the corresponding problem of the temperature field under different experimental times is solved.

[0079] The above method can realize the measurement of temperature and the establishment of temperature field model in the process of continuous casting of molten metal solidification by using graphite crystallizer 1; the simultaneous measurement and establishment of temperature fields at different circumferential positions (4 circumferential positions) of crystallizer 1 can be realized, and the circumferential asymmetric distribution of temperature field during solidification process can be clarified; the measurement and establishment of temperature fields at different axial positions (7 axial positions) of crystallizer 1 can be realized indirectly, and the axial non-uniform distribution of temperature field during solidification process can be clarified; the temperature near the pouring gate position is also measured and recorded at the same time, and compared and analyzed with the crystallizer temperature field and data processed, so as to realize the establishment of relationship between pouring temperature, cooling system process parameters and crystallizer temperature field; it can be coupled with flow field-temperature field-organization field multi-field In conjunction with finite element simulation, the accurate solidification zone (crystallization zone) of the solidification process can be determined by adjusting the air gap position between the solidified ingot and the crystallizer 1 and comparing the temperature fields obtained by simulation and experiment; the simultaneous measurement of the temperature field at different axial positions of the crystallizer 1 is achieved indirectly, by simultaneously measuring the temperature at different depth positions in the same circumferential area, and by developing and applying the temperature data correspondence method, the casting temperature-temperature relationship and temperature field at different circumferential positions-different axial positions are established, ensuring the elimination of experimental errors between different measurement experiments; the difference in temperature field at different crystallizer 1 positions in the insulation furnace can be clearly identified, and the influence of heat dissipation and structural differences of the insulation furnace wall on the temperature of the molten metal can be determined, laying a data foundation for differential water cooling.

[0080] In addition, the spatiotemporal temperature field method of this embodiment can be extended and applied to the testing and quantitative control of the temperature field during the casting process of copper, copper alloy, aluminum / , aluminum alloy tubes, plates, rods, wires, etc.

[0081] The above embodiments are only for illustrating the technical concept and features of the present invention. Their purpose is to enable people familiar with this technology to understand the content of the present invention and implement it. They are not intended to limit the scope of protection of the present invention. Any equivalent changes or modifications made according to the spirit of the present invention should be included in the scope of protection of the present invention.

Claims

1. A method for establishing a time-space temperature field for horizontal continuous casting, characterized in that: The process steps include: S1: According to the temperature measurement depth of the crystallizer and the size of the thermocouple for temperature measurement in the fore chamber of the holding furnace, the thermocouple mounting holes in the crystallizer and the thermocouple mounting holes on the fore chamber cover are processed; S2: Apply high-temperature sealant evenly on the surface of the mold temperature measuring thermocouple, insert the mold temperature measuring thermocouples at different circumferential positions into the corresponding thermocouple mounting holes of the mold, and fix the mold temperature measuring thermocouples using a fixing device; fix the holding furnace fore chamber temperature measuring thermocouple on the fore chamber cover plate; S3: Connect the mold temperature measuring thermocouple to the paperless recorder, and then connect the pouring temperature measuring thermocouple to the corresponding temperature test and control module of the furnace control system; S4: Under the premise of turning on the paperless recorder and the temperature test and control module, the continuous casting experiment is carried out and the temperature at each location during the experiment is recorded; S5: After the experiment, the temperature database files recorded in the paperless recorder and the casting system are taken out, processed and extracted by the terminal device, and the pouring temperature in minutes - the temperature data at different circumferential positions at the specified depth of the crystallizer are output; S6: Repeat steps S1 to S5 to sequentially carry out temperature measurement experiments at different axial depths of the crystallizer and obtain corresponding temperature field data; S7: Conduct temperature measurement experiments at different axial depths in the same circumferential area and obtain corresponding temperature data. Perform average representative temperature processing on several temperature data and perform high-order polynomial fitting based on Newton interpolation method to determine the temperature interpolation at different circumferential positions. This will establish the temperature field that changes with time at different axial depths and different circumferential positions of the crystallizer, and obtain a unified spatiotemporal temperature field model of pouring temperature-different axial depths-different circumferential positions.

2. The method for establishing a time-space temperature field for horizontal continuous casting according to claim 1, characterized in that: In step S1, the thermocouple mounting holes in the crystallizer are set with 7 groups of different axial depths, and the deep holes are drilled by using a short drill bit and a long drill bit in combination.

3. The method for establishing a time-space temperature field for horizontal continuous casting according to claim 1, characterized in that: In step S1, the thermocouple mounting holes in the crystallizer are arranged at four different circumferential positions.

4. The method for establishing a time-space temperature field for horizontal continuous casting according to claim 1, characterized in that: The method for determining the temperature data of the measurement experiment in step S7 is as follows: By the least mean square error method, S min To optimize the target, the average representative temperature over multiple days at each axial depth in the same circumferential area is obtained, and the calculation formula is as follows: Where N represents the number of sampled data; Indicates the temperature value corresponding to each moment, It represents the average temperature at several moments, that is, the average representative temperature; Indicates the temperature at different axial depths and different circumferential positions, P m Indicates different traction programs, which correspond to the traction rate and satisfy a certain relationship; C1 indicates circumferential position 1; Z d Indicates different depth positions from the outer end surface of the graphite crystallizer; The average representative temperature at different axial depths can be approximated by a high-order polynomial fitting method. The corresponding polynomial function can be constructed by using the Newton interpolation method, which satisfies the following relationship: in, represents the temperature field obtained by polynomial fitting under different traction procedures at circumferential position 1; and Indicates the temperature value at position Z0; express By calculating the d-order difference quotients, we can finally obtain a certain traction program and the temperature field curve along the axial direction at a determined circumferential position; Also by the minimum mean square error method, S min To optimize the target, the average representative temperature over multiple days at different circumferential positions at the same axial depth is obtained. The calculation formula is as follows: in, Indicates the temperature value at a certain traction process, a certain axial depth, or a certain circumferential position at a certain time; Represents the average representative temperature of several temperature values that meet the minimum mean square error condition; C k Indicates different circumferential positions; The average representative temperature at different circumferential positions, taking circumferential position 1 as a reference, can be used to obtain the relationship between the temperature at other circumferential positions and the temperature at circumferential position 1. By determining the temperature field polynomial at the circumferential position, the temperature field at other circumferential positions can be derived, and finally the spatiotemporal temperature field at different pulling rates, different axial depths, and different circumferential positions can be obtained. The specific expression is shown in Formula 4: Wherein, d represents different circumferential positions.

Images