A method and apparatus for determining the distribution of superconducting magnet material

By determining the electromagnetic force and temperature material distribution of superconducting magnets, and using topology optimization and thermo-mechanical coupling methods to combine the electromagnetic force and temperature material distributions, the problem of unclear electromagnetic force and temperature stress transmission paths during the service of superconducting magnets was solved, and a high-stiffness and lightweight design was achieved.

CN115982796BActive Publication Date: 2026-04-14SHANGHAI JIAOTONG UNIV +1
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
SHANGHAI JIAOTONG UNIV
Filing Date
2023-01-03
Publication Date
2026-04-14

AI Technical Summary

Technical Problem

Superconducting magnets are subject to electromagnetic forces and temperature stresses during service, making it difficult to determine their transmission path. Furthermore, the contradiction between the need for high stiffness and strength and lightweight design is difficult to resolve.

Method used

By determining the electromagnetic force transmission path and temperature material distribution of the superconducting magnet, topology optimization analysis and thermo-mechanical coupling methods are used to combine the electromagnetic force and temperature material distribution to obtain a comprehensive material distribution.

Benefits of technology

This achievement demonstrates that while maintaining the stiffness of superconducting magnets, their weight can be reduced, and their ability to resist electromagnetic forces and temperature stresses can be improved, thus resolving the contradiction between the high stiffness and strength of superconducting magnets and their lightweight design.

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Abstract

The application discloses a method and device for determining a material distribution form of a superconducting magnet, the method comprising: obtaining a design model of the superconducting magnet; obtaining an electromagnetic force transmission path of the superconducting magnet according to the design model of the superconducting magnet; the electromagnetic force transmission path indicating that a maximum Mises stress of the superconducting magnet under a preset electromagnetic force is less than a first preset proportion of a material yield limit; obtaining a temperature material distribution form of the superconducting magnet according to the design model of the superconducting magnet; the temperature material distribution form indicating that a maximum Mises stress of the superconducting magnet under a preset boundary temperature condition is less than a first preset proportion of the material yield limit; and determining a comprehensive material distribution form of the superconducting magnet according to the electromagnetic force transmission path and the temperature material distribution form. According to the electromagnetic force transmission path and the temperature material distribution form, the superconducting magnet with better resistance to temperature stress and electromagnetic force can be obtained.
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Description

Technical Field

[0001] This application relates to the field of superconducting technology, and in particular to a method and apparatus for determining the distribution pattern of superconducting magnet materials. Background Technology

[0002] Superconducting magnets need to maintain strong magnetic fields under high vacuum and ultra-low temperature conditions. Therefore, during service, their supporting structures are simultaneously affected by electromagnetic forces and thermal stresses. To prevent deformation caused by electromagnetic forces or thermal stresses, superconducting magnets require high structural stiffness and strength. Electromagnetic forces and thermal stresses differ from the force distribution in traditional supporting structures, making their transmission paths difficult to determine. Furthermore, superconducting magnets face strict weight requirements in various applications; every kilogram reduction significantly reduces the energy consumption required to maintain a strong magnetic field. Therefore, the high stiffness and strength of superconducting magnets and their lightweight design present a design contradiction. There is an urgent need in this field for a superconducting magnet that exhibits good resistance to deformation and is relatively lightweight. Summary of the Invention

[0003] To address the aforementioned technical problems, this application provides a method and apparatus for determining the material distribution pattern of a superconducting magnet, which is used to provide a superconducting magnet with good resistance to deformation and light weight.

[0004] To achieve the above objectives, the technical solutions provided in this application are as follows:

[0005] This application provides a method for determining the distribution pattern of superconducting magnet materials, including:

[0006] Obtain a design model for a superconducting magnet;

[0007] Based on the design model of the superconducting magnet, the electromagnetic force transmission path of the superconducting magnet is obtained; the electromagnetic force transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the preset electromagnetic force is less than the first preset proportion of the material yield limit; the proportion of the material volume indicated by the electromagnetic force transmission path to the total volume of the superconducting magnet is less than or equal to the second preset proportion.

[0008] Based on the design model of the superconducting magnet, the temperature material distribution pattern of the superconducting magnet is obtained; the temperature material distribution pattern indicates that the maximum Mises stress of the superconducting magnet under the preset boundary temperature condition is less than the first preset proportion of the material yield strength; the proportion of the material volume indicated by the temperature material distribution pattern to the total volume of the superconducting magnet is less than or equal to the third preset proportion.

[0009] The overall material distribution of the superconducting magnet is determined based on the electromagnetic force transmission path and the temperature material distribution.

[0010] In some possible embodiments, the electromagnetic force transmission path includes a first transmission path, a second transmission path, and a third transmission path. Based on the design model of the superconducting magnet, the electromagnetic force transmission path of the superconducting magnet is obtained, including:

[0011] Obtain the first component of the preset electromagnetic force in the first direction, the second component in the second direction, and the third component in the third direction;

[0012] In the design model of a superconducting magnet, the first transmission path of the superconducting magnet in the first direction is obtained based on the first component, the second transmission path of the superconducting magnet in the second direction is obtained based on the second component, and the third transmission path of the superconducting magnet in the third direction is obtained based on the third component.

[0013] In some possible embodiments, the first transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the first component is less than a first preset proportion of the material's yield strength; the second transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the second component is less than a first preset proportion of the material's yield strength; and the third transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the third component is less than a first preset proportion of the material's yield strength.

[0014] The proportions of the material volume indicated by the first, second, and third transmission paths to the total volume of the superconducting magnet are all less than or equal to the second preset proportion.

[0015] In some possible embodiments, the first direction, the second direction, and the third direction are perpendicular to each other.

[0016] In some possible embodiments, the temperature material distribution of the superconducting magnet is obtained based on the design model of the superconducting magnet, including:

[0017] A first boundary temperature is applied to the room temperature end of the design model of the superconducting magnet, and a second boundary temperature is applied to the coil position of the design model to obtain the temperature material distribution of the superconducting magnet; the first boundary temperature is greater than the second boundary temperature; the temperature material distribution indicates that the maximum Mises stress of the superconducting magnet is less than a first preset proportion of the material yield strength.

[0018] In some possible embodiments, the overall material distribution of the superconducting magnet is determined based on the electromagnetic force transmission path and the temperature material distribution pattern, including:

[0019] The electromagnetic force transmission path and temperature material distribution are merged and smoothed to obtain the comprehensive material distribution of the superconducting magnet.

[0020] In some possible embodiments, it also includes:

[0021] The stiffness of a superconducting magnet with a composite material distribution was verified under preset electromagnetic force and preset boundary temperature conditions.

[0022] The verification of the composite material distribution pattern is successful when the maximum Mises stress of the superconducting magnet is less than a first preset proportion of the material yield limit.

[0023] Based on the above-described method for determining the distribution pattern of superconducting magnet materials, this application also provides an apparatus for determining the distribution pattern of superconducting magnet materials, comprising:

[0024] The first acquisition module is used to obtain the design model of the superconducting magnet;

[0025] The second obtaining module is used to obtain the electromagnetic force transmission path of the superconducting magnet according to the design model of the superconducting magnet; the electromagnetic force transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of a preset electromagnetic force is less than a first preset proportion of the material yield limit; the proportion of the material volume indicated by the electromagnetic force transmission path to the total volume of the superconducting magnet is less than or equal to a second preset proportion.

[0026] The third acquisition module is used to obtain the temperature material distribution of the superconducting magnet according to the design model of the superconducting magnet; the temperature material distribution indicates that the maximum Mises stress of the superconducting magnet under the preset boundary temperature condition is less than a first preset proportion of the material yield limit; the proportion of the material volume indicated by the temperature material distribution to the total volume of the superconducting magnet is less than or equal to a third preset proportion.

[0027] The determination module is used to determine the overall material distribution of the superconducting magnet based on the electromagnetic force transmission path and the temperature material distribution.

[0028] In some possible embodiments, the electromagnetic force transmission path includes a first transmission path, a second transmission path, and a third transmission path, and the second obtaining module is specifically used for:

[0029] Obtain the first component of the preset electromagnetic force in the first direction, the second component in the second direction, and the third component in the third direction;

[0030] In the design model of a superconducting magnet, the first transmission path of the superconducting magnet in the first direction is obtained based on the first component, the second transmission path of the superconducting magnet in the second direction is obtained based on the second component, and the third transmission path of the superconducting magnet in the third direction is obtained based on the third component.

[0031] In some possible embodiments, the first transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the first component is less than a first preset proportion of the material's yield strength; the second transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the second component is less than a first preset proportion of the material's yield strength; and the third transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the third component is less than a first preset proportion of the material's yield strength.

[0032] The proportions of the material volume indicated by the first, second, and third transmission paths to the total volume of the superconducting magnet are all less than or equal to the second preset proportion.

[0033] As can be seen from the above technical solution, this application has the following beneficial effects:

[0034] This application provides a method for determining the material distribution of a superconducting magnet, comprising: obtaining a design model of the superconducting magnet; obtaining the electromagnetic force transmission path of the superconducting magnet based on the design model; the electromagnetic force transmission path indicating that the maximum Mises stress of the superconducting magnet under a preset electromagnetic force is less than a first preset proportion of the material yield limit; the proportion of the material volume indicated by the electromagnetic force transmission path to the total volume of the superconducting magnet being less than or equal to a second preset proportion; obtaining the temperature material distribution of the superconducting magnet based on the design model; the temperature material distribution indicating that the maximum Mises stress of the superconducting magnet under a preset boundary temperature condition is less than a first preset proportion of the material yield limit; the proportion of the material volume indicated by the temperature material distribution to the total volume of the superconducting magnet being less than or equal to a third preset proportion; and determining the comprehensive material distribution of the superconducting magnet based on the electromagnetic force transmission path and the temperature material distribution.

[0035] Therefore, the method for determining the material distribution of superconducting magnets provided in this application embodiment calculates the electromagnetic force transmission path of the superconducting magnet under the action of electromagnetic force and the temperature material distribution under preset boundary temperature conditions. Based on the electromagnetic force transmission path and the temperature material distribution, a superconducting magnet with good resistance to temperature stress and electromagnetic force can be obtained in a targeted manner, thereby reducing the weight of the superconducting magnet while maintaining its stiffness. Attached Figure Description

[0036] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0037] Figure 1A flowchart illustrating a method for determining the distribution pattern of a superconducting magnet material, provided in an embodiment of this application;

[0038] Figure 2 A schematic diagram of a design model of a superconducting magnet coil box provided for an embodiment of this application;

[0039] Figure 3 A schematic diagram of the overall material distribution of a superconducting magnet coil box provided for an embodiment of this application;

[0040] Figure 4 This is a schematic diagram of a device for determining the distribution pattern of superconducting magnet materials, provided in an embodiment of this application. Detailed Implementation

[0041] To help better understand the solutions provided in the embodiments of this application, before introducing the methods provided in the embodiments of this application, we will first introduce the application scenarios of the solutions in the embodiments of this application.

[0042] Superconducting magnets need to maintain strong magnetic fields under high vacuum and ultra-low temperature conditions. Therefore, during service, their supporting structures are simultaneously affected by electromagnetic forces and thermal stresses. To prevent deformation caused by electromagnetic forces or thermal stresses, superconducting magnets require high structural stiffness and strength. Electromagnetic forces and thermal stresses differ from the force distribution in traditional supporting structures, making their transmission paths difficult to determine. Furthermore, superconducting magnets face strict weight requirements in various applications; every kilogram reduction significantly reduces the energy consumption required to maintain a strong magnetic field. Therefore, the high stiffness and strength of superconducting magnets and their lightweight design present a design contradiction. There is an urgent need in this field for a superconducting magnet that exhibits good resistance to deformation and is relatively lightweight.

[0043] To address the aforementioned technical problems, this application provides a method for determining the material distribution of a superconducting magnet, comprising: obtaining a design model of the superconducting magnet; obtaining the electromagnetic force transmission path of the superconducting magnet based on the design model; obtaining the temperature material distribution of the superconducting magnet based on the design model; and determining the comprehensive material distribution of the superconducting magnet based on the electromagnetic force transmission path and the temperature material distribution. Therefore, the method for determining the material distribution of a superconducting magnet provided in this application, by calculating the electromagnetic force transmission path of the superconducting magnet under electromagnetic force and the temperature material distribution under preset boundary temperature conditions, and based on the electromagnetic force transmission path and the temperature material distribution, can specifically obtain a superconducting magnet with good resistance to temperature stress and electromagnetic force, while maintaining the stiffness of the superconducting magnet and also reducing its weight.

[0044] To make the above-mentioned objectives, features and advantages of this application more apparent and understandable, the embodiments of this application will be further described in detail below with reference to the accompanying drawings and specific implementation methods.

[0045] See Figure 1 The figure is a flowchart of a method for determining the distribution pattern of a superconducting magnet material according to an embodiment of this application.

[0046] like Figure 1 As shown in the embodiments of this application, the method for determining the distribution pattern of superconducting magnet materials includes:

[0047] S101: Obtain the design model of the superconducting magnet.

[0048] It should be noted that the design model in this embodiment is an initial design model, which includes a design domain. This embodiment primarily considers the material distribution within the design domain. The model requires designing the main load-bearing and transmission region of the excitation force as a topology-optimized design domain. For example... Figure 2 As shown, taking the superconducting magnet coil box support structure as an example, an initial design model of the superconducting magnet is established, and the main support structure area is set as the topology optimization design domain. The horizontal dimension of the design domain is 500mm+500mm, and the vertical dimension is 200mm+200mm.

[0049] S102: Based on the design model of the superconducting magnet, obtain the electromagnetic force transmission path of the superconducting magnet; the electromagnetic force transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the preset electromagnetic force is less than the first preset proportion of the material yield limit; the proportion of the material volume indicated by the electromagnetic force transmission path to the total volume of the superconducting magnet is less than or equal to the second preset proportion.

[0050] In practical applications, to better obtain the electromagnetic force transmission path of a superconducting magnet, the electromagnetic force can be decomposed into components in three different directions, and then the electromagnetic force transmission path of the superconducting magnet can be obtained based on each of the three components. Specifically, the electromagnetic force transmission path includes a first transmission path, a second transmission path, and a third transmission path. Step S102 can be specifically described as follows: obtaining the first component of the preset electromagnetic force in the first direction, the second component in the second direction, and the third component in the third direction; in the design model of the superconducting magnet, obtaining the first transmission path of the superconducting magnet in the first direction based on the first component, obtaining the second transmission path of the superconducting magnet in the second direction based on the second component, and obtaining the third transmission path of the superconducting magnet in the third direction based on the third component.

[0051] It should be noted that the first transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the first component is less than a first preset proportion of the material's yield strength; the second transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the second component is less than a first preset proportion of the material's yield strength; the third transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the third component is less than a first preset proportion of the material's yield strength; the proportion of the material volume indicated by the first, second, and third transmission paths to the total volume of the superconducting magnet is less than or equal to a second preset proportion. It should also be noted that the first, second, and third directions can be perpendicular to each other.

[0052] In this embodiment, the electromagnetic force vector of the superconducting magnet can be projected onto the XY plane to obtain the electromagnetic force scalar in the Z direction. The electromagnetic force is then uniformly applied to the force-bearing surface that mainly resists deformation in the Z direction for topology optimization analysis to obtain the electromagnetic force transmission path in the Z direction.

[0053] by Figure 2 Taking the superconducting magnet coil box bearing structure as an example, the electromagnetic forces acting on the superconducting magnet are dynamic guiding force, levitation force, static traction, and Lorentz force. The peak values ​​of the dynamic guiding force and levitation force are summed with the vector sums of the static traction and Lorentz force, and then projected onto the XY plane to obtain a scalar electromagnetic force of 8 kN in the Z direction. Using the design domain set in step S101, the elastic modulus and density of the material within this domain are multiplied by a topology optimization penalty function. A uniformly distributed electromagnetic force is applied to the mechanical connection surface where the superconducting magnet mainly resists deformation in the Z direction. This constrains the translational and rotational degrees of freedom in three directions at the connection point between the superconducting magnet and the vehicle body. The optimization objective is to minimize the total elastic strain energy, with the material volume fraction not exceeding the second preset ratio of 0.2 and the maximum Mises stress not exceeding the first preset ratio of 85% of the material yield strength. Topology optimization analysis is then performed to obtain the electromagnetic force transmission path in the Z direction, i.e., the first transmission path.

[0054] In this embodiment, the electromagnetic force vector of the superconducting magnet can be projected onto the YZ plane to obtain the electromagnetic force scalar in the X direction. The electromagnetic force is then uniformly applied to the force-bearing surface that mainly resists deformation in the X direction for topology optimization analysis to obtain the electromagnetic force transmission path in the X direction.

[0055] by Figure 2Taking the superconducting magnet coil box bearing structure as an example, the electromagnetic forces acting on the superconducting magnet are dynamic guiding force, levitation force, static traction, and Lorentz force. The peak values ​​of the dynamic guiding and levitation forces are summed with the vectors of the static traction and Lorentz force, and then projected onto the YZ plane to obtain a scalar electromagnetic force of 2.5 kN in the X direction. Using the design domain set in step S101, the elastic modulus and density of the material within this domain are multiplied by a topology optimization penalty function. A uniformly distributed electromagnetic force is applied to the mechanical connection surface where the superconducting magnet mainly resists deformation in the X direction. The translational and rotational degrees of freedom in three directions at the connection point between the superconducting magnet and the vehicle body are constrained. The optimization objective is to minimize the total elastic strain energy, with the material volume fraction not exceeding the second preset ratio of 0.2 and the maximum Mises stress not exceeding the first preset ratio of 85% of the material yield strength. Topology optimization analysis is then performed to obtain the electromagnetic force transmission path in the X direction, i.e., the second transmission path.

[0056] In this embodiment, the electromagnetic force vector of the superconducting magnet can be projected onto the XZ plane to obtain the electromagnetic force scalar in the Y direction. The electromagnetic force is then uniformly applied to the force-bearing surface that mainly resists deformation in the Y direction for topology optimization analysis to obtain the electromagnetic force transmission path in the Y direction.

[0057] by Figure 2 Taking the superconducting magnet coil box bearing structure as an example, the electromagnetic forces acting on the superconducting magnet are dynamic guidance, levitation force, static traction, and Lorentz force. The peak values ​​of the dynamic guidance and levitation forces are summed with the vector sums of the static traction and Lorentz forces, and then projected onto the XZ plane to obtain a scalar electromagnetic force of 9.2 kN in the Y direction. Using the design domain set in step S101, the elastic modulus and density of the material within this domain are multiplied by a topology optimization penalty function. A uniformly distributed electromagnetic force is applied to the force-bearing surface of the superconducting magnet that mainly resists deformation in the Y direction. The translational and rotational degrees of freedom in the three directions at the connection point between the superconducting magnet and the vehicle body are constrained. The optimization objective is to minimize the total elastic strain energy, with the material volume fraction not exceeding the second preset ratio of 0.2 and the maximum Mises stress not exceeding the first preset ratio of 85% of the material yield strength. Topology optimization analysis is then performed to obtain the electromagnetic force transmission path in the Y direction, i.e., the third transmission path.

[0058] S103: Based on the design model of the superconducting magnet, obtain the temperature material distribution pattern of the superconducting magnet; the temperature material distribution pattern indicates that the maximum Mises stress of the superconducting magnet under the preset boundary temperature condition is less than the first preset proportion of the material yield limit; the proportion of the material volume indicated by the temperature material distribution pattern to the total volume of the superconducting magnet is less than or equal to the third preset proportion.

[0059] A first boundary temperature is applied to the room-temperature end of the design model of the superconducting magnet, and a second boundary temperature is applied to the coil position of the design model to obtain the temperature material distribution of the superconducting magnet; the first boundary temperature is greater than the second boundary temperature; the temperature material distribution indicates that the maximum Mises stress of the superconducting magnet is less than a first preset proportion of the material yield strength. It should be noted that the first boundary temperature in the embodiments of this application is usually the highest temperature at which the superconducting magnet operates, and the second boundary temperature is usually the lowest temperature at which the superconducting magnet operates.

[0060] In this embodiment, temperature boundary conditions can be applied to the room temperature end and the low temperature end of the superconducting magnet, respectively. Based on thermo-mechanical coupling analysis, topology optimization is performed to obtain the most effective material distribution form to resist temperature stress deformation.

[0061] by Figure 2 Taking the superconducting magnet coil box support structure as an example, the design domain set in step S101 is used. The elastic modulus and density of the material in the design domain are multiplied by the topology optimization penalty function. The first boundary temperature of 293K room temperature boundary condition is applied at the room temperature end of the main support, and the second boundary temperature of 20K ultra-low temperature boundary condition is applied at the coil position. The translational and rotational degrees of freedom in three directions at the connection position between the superconducting magnet and the vehicle body are constrained. The optimization objective is to minimize the total elastic strain energy, and the constraints are that the material volume fraction does not exceed 0.2 and the maximum Mises stress does not exceed 85% of the material yield limit. The topology optimization analysis is performed to obtain the most effective material distribution form to resist temperature stress deformation, that is, the temperature material distribution form.

[0062] S104: Determine the overall material distribution of the superconducting magnet based on the electromagnetic force transmission path and the temperature material distribution.

[0063] In this embodiment, the electromagnetic force transmission path and temperature and material distribution can be merged and smoothed to obtain the comprehensive material distribution of the superconducting magnet. It should be noted that this embodiment employs a topology design that separates the electromagnetic force transmission path and temperature and material distribution before merging them, effectively avoiding the problem of difficulty in merging topology optimization results due to differences in load magnitude.

[0064] In this embodiment, the electromagnetic transmission path includes a first transmission path, a second transmission path, and a third transmission path. After obtaining the comprehensive material distribution of the superconducting magnet, the stiffness of the superconducting magnet with the comprehensive material distribution is verified under preset electromagnetic force and preset boundary temperature conditions; when the maximum Mises stress of the superconducting magnet with the comprehensive material distribution is less than a first preset proportion of the material yield limit, the verification of the comprehensive material distribution is passed.

[0065] The embodiments of this application can integrate the electromagnetic force transmission paths in the X, Y, and Z directions (i.e., the first transmission path, the second transmission path, and the third transmission path) and the most effective material distribution form to resist temperature stress deformation, and perform smoothing processing to obtain a high-stiffness, lightweight superconducting magnet material distribution form that simultaneously meets the requirements of electromagnetic field and temperature field bearing capacity, and verify the model.

[0066] Taking the superconducting magnet coil box support structure as an example, the electromagnetic force transmission paths in the X, Y, and Z directions and the most effective material distribution form to resist temperature stress deformation are integrated and smoothed to obtain the superconducting magnet as shown in the figure. Figure 3 As shown, the structure was simultaneously subjected to electromagnetic forces and temperature stresses in three directions. The maximum Mises stress of the superconducting magnet, 328 MPa, was less than 85% of the first preset ratio of the material's yield strength. Furthermore, in this embodiment, the maximum deformation of the superconducting magnet, 3.36 mm, considering the material distribution, meets the standard of a minimum deformation of 5 mm for the load-bearing structure and the outer cavity to avoid interference. In this embodiment, the weight of the structure after topology optimization is only 36% of the weight of the structure before optimization.

[0067] The method for determining the material distribution of superconducting magnets provided in this application extracts the difficult-to-understand electromagnetic force transmission paths through vector projection and topology optimization. It then obtains the optimal material distribution to resist thermal stress by combining thermo-mechanical coupling analysis and topology optimization, thus solving the problem of unclear force patterns in electromagnetic and temperature fields. Furthermore, it can specifically obtain superconducting magnets with good resistance to temperature stress and electromagnetic forces, achieving a structure with high stiffness, strength, and lightweight. While maintaining the stiffness of the superconducting magnet, its weight is also relatively light, resolving the contradictions in superconducting magnet structural design.

[0068] Based on the superconducting magnet material distribution pattern provided in the above embodiments, this application also provides a device for determining the superconducting magnet material distribution pattern.

[0069] See Figure 4 The figure is a schematic diagram of a device for determining the distribution pattern of superconducting magnet materials provided in an embodiment of this application.

[0070] like Figure 4 As shown, the device for determining the material distribution of a superconducting magnet provided in this application embodiment includes a first obtaining module 100, used to obtain a design model of a superconducting magnet;

[0071] The second obtaining module 200 is used to obtain the electromagnetic force transmission path of the superconducting magnet according to the design model of the superconducting magnet; the electromagnetic force transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of a preset electromagnetic force is less than a first preset proportion of the material yield limit; the proportion of the material volume indicated by the electromagnetic force transmission path to the total volume of the superconducting magnet is less than or equal to a second preset proportion.

[0072] The third obtaining module 300 is used to obtain the temperature material distribution pattern of the superconducting magnet according to the design model of the superconducting magnet; the temperature material distribution pattern indicates that the maximum Mises stress of the superconducting magnet under the preset boundary temperature condition is less than a first preset proportion of the material yield limit; the proportion of the material volume indicated by the temperature material distribution pattern to the total volume of the superconducting magnet is less than or equal to a third preset proportion.

[0073] The determination module 400 is used to determine the overall material distribution of the superconducting magnet based on the electromagnetic force transmission path and the temperature material distribution.

[0074] As one possible implementation, the electromagnetic force transmission path includes a first transmission path, a second transmission path, and a third transmission path. The second obtaining module is specifically used to: obtain a first component of a preset electromagnetic force in a first direction, a second component in a second direction, and a third component in a third direction; in the design model of the superconducting magnet, obtain the first transmission path of the superconducting magnet in the first direction based on the first component, obtain the second transmission path of the superconducting magnet in the second direction based on the second component, and obtain the third transmission path of the superconducting magnet in the third direction based on the third component.

[0075] In one possible implementation, the first transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the first component is less than a first preset proportion of the material's yield strength; the second transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the second component is less than a first preset proportion of the material's yield strength; the third transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the third component is less than a first preset proportion of the material's yield strength; the proportion of the material volume indicated by the first transmission path, the second transmission path, and the third transmission path to the total volume of the superconducting magnet is all less than or equal to the second preset proportion.

[0076] The device for determining the material distribution of superconducting magnets provided in this application embodiment can specifically obtain superconducting magnets with good resistance to temperature stress and electromagnetic force, and obtain a structure with high stiffness and strength and lightweight. While maintaining the stiffness of the superconducting magnet, the weight of the superconducting magnet is also light, thus solving the contradiction in the design of superconducting magnet structure.

[0077] As can be seen from the above description of the embodiments, those skilled in the art can clearly understand that all or part of the steps in the methods of the above embodiments can be implemented by means of software plus necessary general-purpose hardware platforms. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a storage medium, such as ROM / RAM, magnetic disk, optical disk, etc., and includes several instructions to cause a computer device (which may be a personal computer, a server, or a network communication device such as a media gateway, etc.) to execute the methods described in various embodiments or some parts of the embodiments of this application.

[0078] It should be noted that the various embodiments in this specification are described in a progressive manner, with each embodiment focusing on the differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. Regarding the methods disclosed in the embodiments, since they correspond to the systems disclosed in the embodiments, the descriptions are relatively simple; relevant parts can be referred to the system section description.

[0079] It should also be noted that, in this document, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

[0080] The above description of the disclosed embodiments will enable those skilled in the art to make or use various modifications to these embodiments. It will be readily apparent to those skilled in the art that the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of this application. Therefore, this application is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for determining the distribution pattern of superconducting magnet materials, characterized in that, include: Obtain a design model for a superconducting magnet; Based on the design model of the superconducting magnet, the electromagnetic force transmission path of the superconducting magnet is obtained. The electromagnetic force transmission path includes a first transmission path, a second transmission path, and a third transmission path. The electromagnetic force transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of a preset electromagnetic force is less than a first preset proportion of the material yield limit. The proportion of the material volume indicated by the electromagnetic force transmission path to the total volume of the superconducting magnet is less than or equal to a second preset proportion. Based on the design model of the superconducting magnet, the temperature material distribution pattern of the superconducting magnet is obtained; the temperature material distribution pattern indicates that the maximum Mises stress of the superconducting magnet under the preset boundary temperature condition is less than a first preset proportion of the material yield strength; the proportion of the material volume indicated by the temperature material distribution pattern to the total volume of the superconducting magnet is less than or equal to a third preset proportion. The comprehensive material distribution of the superconducting magnet is determined based on the electromagnetic force transmission path and the temperature material distribution pattern. The step of obtaining the electromagnetic force transmission path of the superconducting magnet based on its design model includes: Obtain the first component of the preset electromagnetic force in the first direction, the second component in the second direction, and the third component in the third direction; In the design model of the superconducting magnet, the first transmission path of the superconducting magnet in the first direction is obtained according to the first component, the second transmission path of the superconducting magnet in the second direction is obtained according to the second component, and the third transmission path of the superconducting magnet in the third direction is obtained according to the third component. The step of obtaining the temperature material distribution of the superconducting magnet based on its design model includes: A first boundary temperature is applied to the room temperature end of the design model of the superconducting magnet, and a second boundary temperature is applied to the coil position of the design model to obtain the temperature material distribution of the superconducting magnet; the first boundary temperature is greater than the second boundary temperature.

2. The method according to claim 1, characterized in that, The first transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the first component is less than a first preset ratio of the material yield strength; The second transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the second component is less than a first preset proportion of the material's yield strength; The third transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the third component is less than a first preset ratio of the material yield limit. The proportion of the material volume indicated by the first transmission path, the second transmission path, and the third transmission path to the total volume of the superconducting magnet is less than or equal to a second preset proportion.

3. The method according to claim 1, characterized in that, The first direction, the second direction, and the third direction are perpendicular to each other.

4. The method according to claim 1, characterized in that, Determining the overall material distribution of the superconducting magnet based on the electromagnetic force transmission path and the temperature material distribution includes: The electromagnetic force transmission path and the temperature material distribution are combined and smoothed to obtain the comprehensive material distribution of the superconducting magnet.

5. The method according to claim 1, characterized in that, Also includes: The stiffness of the superconducting magnet with the composite material distribution was verified under the preset electromagnetic force and the preset boundary temperature conditions. The verification of the composite material distribution pattern is successful when the maximum Mises stress of the superconducting magnet is less than a first preset ratio of the material yield limit.

6. A device for determining the distribution pattern of superconducting magnet materials, characterized in that, include: The first acquisition module is used to obtain the design model of the superconducting magnet; The second obtaining module is used to obtain the electromagnetic force transmission path of the superconducting magnet according to the design model of the superconducting magnet. The electromagnetic force transmission path includes a first transmission path, a second transmission path, and a third transmission path. The electromagnetic force transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of a preset electromagnetic force is less than a first preset proportion of the material yield limit. The proportion of the material volume indicated by the electromagnetic force transmission path to the total volume of the superconducting magnet is less than or equal to a second preset proportion. The second obtaining module is specifically used to obtain a first component of a preset electromagnetic force in a first direction, a second component in a second direction, and a third component in a third direction; in the design model of the superconducting magnet, a first transmission path of the superconducting magnet in a first direction is obtained based on the first component, a second transmission path of the superconducting magnet in a second direction is obtained based on the second component, and a third transmission path of the superconducting magnet in a third direction is obtained based on the third component. The third obtaining module is used to obtain the temperature material distribution pattern of the superconducting magnet according to the design model of the superconducting magnet; the temperature material distribution pattern indicates that the maximum Mises stress of the superconducting magnet under the preset boundary temperature condition is less than a first preset proportion of the material yield strength; the proportion of the material volume indicated by the temperature material distribution pattern to the total volume of the superconducting magnet is less than or equal to a third preset proportion. The third obtaining module is specifically used to apply a first boundary temperature to the room temperature end of the design model of the superconducting magnet, and to apply a second boundary temperature to the coil position of the design model, so as to obtain the temperature material distribution of the superconducting magnet; the first boundary temperature is greater than the second boundary temperature; The determination module is used to determine the overall material distribution of the superconducting magnet based on the electromagnetic force transmission path and the temperature material distribution pattern.

7. The apparatus according to claim 6, characterized in that, The first transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the first component is less than a first preset ratio of the material yield strength; The second transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the second component is less than a first preset proportion of the material's yield strength; The third transmission path indicates that the maximum Mises stress of the superconducting magnet under the action of the third component is less than a first preset ratio of the material yield limit. The proportion of the material volume indicated by the first transmission path, the second transmission path, and the third transmission path to the total volume of the superconducting magnet is less than or equal to a second preset proportion.

Citation Information

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