Fuel assembly equivalent modeling method and device, computer equipment, medium and product
By dividing, widening and uniformizing the fuel components in the fast reactor experimental bench, the problem of calculation accuracy loss in the prior art is solved, and a higher calculation accuracy and simplified calculation model is achieved.
Patent Information
- Application Number
- CN202411445834.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-10-16
- Publication Date
- 2025-02-21
AI Technical Summary
The prior art uses one-dimensional cylindrical equivalent modeling method in fast reactor core design software, which fails to effectively consider the inhomogeneity of complex materials inside the fast spectral zero-power experimental bench core, resulting in loss of calculation accuracy.
By dividing the fuel components in the experimental bench, multiple radially uniform cylinders were obtained; widening the cylinder for each cylinder to obtain an equivalent cylindrical control body; material in the inner region of the cylinder and outer hexagonal hexagonal prisms were used. The inner area material is homogenized to obtain the target fuel assembly.
Improve the calculation accuracy of fuel components, eliminate differences in local material properties, reduce uncertainty in calculations, and simplify the calculation model.
Smart Images
Figure CN119494193A_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the field of nuclear engineering technology, and in particular to a method, device, computer equipment, medium and product for equivalent modeling of a fuel assembly. Background Art
[0002] In the field of nuclear energy science and engineering, it has important research value for reactor design and optimization. At present, the operation and experimental data of fast reactors are scarce, and experimental data for verification and confirmation of nuclear design software cannot be obtained through general channels. Therefore, the relevant data of fast reactor zero-power test bench is extremely important for the verification and confirmation of fast reactor nuclear design software.
[0003] When the related technology uses fast reactor physics calculation software, the cross-section of the fuel assembly is modeled by performing one-dimensional cylindrical equivalent modeling of the assembly. This fails to effectively consider the non-uniformity of the complex materials inside the core of the fast spectrum zero-power test bench, resulting in a loss of calculation accuracy. Summary of the invention
[0004] Based on this, it is necessary to provide a fuel assembly equivalent modeling method, device, computer equipment, medium and product that can improve calculation accuracy in response to the above technical problems.
[0005] In a first aspect, the present application provides a fuel assembly equivalent modeling method, the method comprising:
[0006] The fuel assembly in the test bench is divided into a plurality of radially uniform cylinders; the cylinders include initial materials;
[0007] Each cylinder is widened to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder;
[0008] The material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder are homogenized to obtain a target fuel assembly.
[0009] In one embodiment, the above widening process is performed on each cylindrical region to obtain an equivalent cylindrical control volume, including:
[0010] Get the boundary of the equivalent cylindrical control volume;
[0011] According to the boundary of the equivalent cylindrical control volume, the cylindrical region is widened to obtain the equivalent cylindrical control volume.
[0012] In one embodiment, the above-mentioned homogenization treatment of the material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder to obtain the target fuel assembly includes:
[0013] For the material in the cylinder area, the atomic nucleus density of the material in the expanded cylinder area is calculated using a homogenization method;
[0014] For the material in the area inside the hexagonal prism outside the cylinder, determine the atomic nucleus density and total height of the equivalent additional material, and distribute the equivalent additional material according to the total height to obtain multiple equivalent additional material sheets;
[0015] The equivalent additional material sheets and the material in the widened cylindrical inner area are arranged to obtain a target fuel assembly.
[0016] In one embodiment, the process of determining the atomic nucleus density of the equivalent additional material includes:
[0017] Obtaining the atomic nucleus density and volume of each nuclide in the non-uniform material region within the hexagonal prism outside the radial cylinder; the non-uniform material region within the hexagonal prism outside the radial cylinder includes multiple nuclides;
[0018] Calculate the total volume of equivalent additional material;
[0019] The nuclear density of each nuclide in the equivalent additional material is determined based on the nuclear density and volume of each nuclide and the total volume of the equivalent additional material.
[0020] In one embodiment, the calculation process of the total volume of the equivalent additional material includes:
[0021] Obtain the height of the cylinder, the first cross-sectional area of the hexagonal prism, and the second cross-sectional area of the cylinder;
[0022] Performing a difference process on the first cross-sectional area and the second cross-sectional area to obtain a difference result;
[0023] The height and difference results are multiplied to obtain the total volume of the equivalent additional material.
[0024] In one embodiment, the process of determining the height of the equivalent additional material includes:
[0025] Get the cross-sectional radius of the equivalent cylindrical control volume;
[0026] The height of the equivalent additional material is determined based on the total volume of the equivalent additional material, the cross-sectional radius and the pi.
[0027] In one embodiment, the above-mentioned equivalent additional material and the material in the widened cylindrical inner area are arranged to obtain a target fuel assembly, including:
[0028] The equivalent additional material is divided to obtain equivalent additional material sheets, and placed in different materials in the axial region of the widened cylinder;
[0029] The distance between each equivalent additional material sheet and different materials in the widened cylindrical area is adjusted; the symmetric relationship between each adjusted equivalent additional material sheet and different materials in the widened cylindrical area is adjusted to obtain a target fuel assembly.
[0030] In a second aspect, the present application also provides a fuel assembly equivalent modeling device. The device comprises:
[0031] A material division module is used to divide the fuel assembly in the test bench to obtain a plurality of radially uniform cylinders; the cylinders include initial materials;
[0032] The material widening module is used to widen each cylindrical region to obtain an equivalent cylindrical control volume; the material of the equivalent cylindrical control volume includes the material of the inner region of the cylinder and the material of the inner region of the hexagonal prism outside the cylinder;
[0033] The material homogenization module is used to homogenize the material in the cylindrical area and the material in the hexagonal prism area outside the cylindrical area to obtain the target fuel assembly.
[0034] In a third aspect, the present application further provides a computer device. The computer device includes a memory and a processor, the memory stores a computer program, and the processor implements the following steps when executing the computer program:
[0035] The fuel assembly in the test bench is divided into a plurality of radially uniform cylinders; the cylinders include initial materials;
[0036] Each cylindrical region is widened to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner region of the cylinder and the material of the inner region of the hexagonal prism outside the cylinder;
[0037] The material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder are homogenized to obtain a target fuel assembly.
[0038] In a fourth aspect, the present application further provides a computer-readable storage medium. The computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the following steps are implemented:
[0039] The fuel assembly in the test bench is divided into a plurality of radially uniform cylinders; the cylinders include initial materials;
[0040] Each cylinder is widened to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder;
[0041] The material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder are homogenized to obtain a target fuel assembly.
[0042] In a fifth aspect, the present application further provides a computer program product. The computer program product includes a computer program, and when the computer program is executed by a processor, the following steps are implemented:
[0043] The fuel assembly in the test bench is divided into a plurality of radially uniform cylinders; the cylindrical area includes the initial material;
[0044] Each cylindrical region is widened to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner region of the cylinder and the material of the inner region of the hexagonal prism outside the cylinder;
[0045] The material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder are homogenized to obtain a target fuel assembly.
[0046] The above-mentioned fuel assembly equivalent modeling method, device, computer equipment, medium and product obtain a plurality of radially uniform cylinders by dividing the fuel assembly in the test bench; the cylinder includes initial materials; each cylinder is widened to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder; the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder are homogenized to obtain the target fuel assembly. The embodiment of the present application adjusts the material composition in a targeted manner according to the characteristics of the inner area of the control body, which can improve the performance directionality of the fuel assembly and meet the needs of specific working conditions. Homogenization of different materials can eliminate differences in local material properties and reduce uncertainties in calculations. This homogenization can make the calculation model simpler, thereby increasing the overall calculation accuracy. BRIEF DESCRIPTION OF THE DRAWINGS
[0047] Figure 1 Schematic diagram of one-dimensional cylindrical equivalent modeling of components for related technologies;
[0048] Figure 2 A schematic diagram of a zero-power bench material box of the related art;
[0049] Figure 3 A schematic diagram of a fuel unit for a zero-power bench of the related art;
[0050] Figure 4 A schematic diagram of a zero-power bench assembly of the related art;
[0051] Figure 5 A front view of a zero-power bench assembly of the related art;
[0052] Figure 6 A top view of a zero-power bench assembly of the related art;
[0053] Figure 7 A schematic diagram of a zero-power bench core of the related technology;
[0054] Figure 8 Schematic diagram of radial homogenization approximation calculated for fast reactor components;
[0055] Fig. 9 It is an application environment diagram of a fuel assembly equivalent modeling method in one embodiment;
[0056] Fig.10 A schematic diagram of a process flow of a fuel assembly equivalent modeling method in one embodiment;
[0057] Fig.11 A schematic diagram of a process for obtaining a hexagonal prism material in one embodiment;
[0058] Fig.12 A schematic diagram of a process for obtaining a target fuel assembly in one embodiment;
[0059] Fig.13 is a schematic flow chart of a process for determining the density of atomic nuclei in one embodiment;
[0060] Fig.14 is a flow chart of a process for calculating the total volume of equivalent additional materials in one embodiment;
[0061] Fig.15 A schematic diagram of a process for determining a total height in one embodiment;
[0062] Fig.16 A schematic diagram of a process for obtaining a target fuel assembly in another embodiment;
[0063] Fig.17 is a schematic diagram of an equivalent cylindrical control body in an embodiment;
[0064] Fig.18 It is a structural block diagram of a fuel assembly equivalent modeling device in one embodiment;
[0065] Fig.19 FIG. 4 is a diagram showing the internal structure of a computer device in one embodiment. DETAILED DESCRIPTION
[0066] In order to make the purpose, technical solution and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.
[0067] First of all, before specifically introducing the technical solution of the embodiments of the present application, the technical background based on the embodiments of the present application is introduced.
[0068] At present, the operation and experimental data of fast reactors in the world are scarce and are important confidential data of various countries and research institutions. Experimental data used for verification and confirmation of nuclear design software cannot be obtained through general channels. Therefore, the relevant data of fast reactor zero-power test bench is extremely important for the verification and confirmation of fast reactor nuclear design software.
[0069] In a fast neutron reactor with power, the component non-uniformity is mainly reflected in the radial direction. At the same time, the mean free path of fast neutrons is long, and the local physical effect in the component is weak. When using fast reactor physics calculation software based on the two-step calculation methodology internationally, the mainstream modeling method for component cross-section calculation is to perform one-dimensional cylindrical equivalent modeling on the component, such as Figure 1 shown.
[0070] The calculation results can accurately reflect the non-uniform properties inside the component. In the fast spectrum zero-power test bench, the materials of various parts inside the component are stacked in a plate-like state in one direction, showing strong non-uniformity in that direction; at the same time, there are also material non-uniformities in other directions (such as material boxes, component sleeves, gaskets, gap displacement rods, etc.), and their effects cannot be ignored. Therefore, the traditional one-dimensional cylindrical equivalent modeling method is obviously not applicable.
[0071] In the design of fuel assemblies for liquid metal fast reactors, fuel rods are usually used and arranged in a radial hexagonal grid. The fuel rods are locally uniform in the axial direction. At high temperatures, the coolant flows between the rods. Therefore, the fuel assembly has strong non-uniformity in the radial direction, but is uniform in the axial direction.
[0072] Unlike this type of reactor with power, the fast reactor zero-power experiment is carried out at room temperature. At room temperature, in order to facilitate the operation of the experiment, solid material sheets are used to characterize the materials of each part of the core, including fuel, coolant, structural materials, etc. On the one hand, in order to characterize all the material properties of the component, these material sheets are arranged and stacked in order with corresponding mass and volume ratios. In some experiments, fuel sheets with extremely high enrichment of fissile nuclides are used, and an appropriate amount of depleted uranium material sheets are matched in the component unit to achieve the effect of dilution. In order to facilitate the storage and movement of the material sheets, the chemically active material sheets are wrapped in special material boxes. The stacking of the above materials presents a strong heterogeneity of the materials inside the component in one dimension. On the other hand, in order to fix the stand or fine-tune the reactivity, grids, component sleeves and gap displacement rods are usually used. This radially wrapped material arrangement increases the heterogeneity of the component in another dimension.
[0073] Taking a zero-power test bench as an example, it includes the following geometric arrangements.
[0074] 1) Some material sheets are packed in special boxes. The materials of the boxes vary, including but not limited to stainless steel, such as Figure 2 As shown, the sodium material sheets are packed in an aluminum box.
[0075] 2) The fuel is composed of multiple repeated fuel units, each of which is composed of materials representing various parts of the core fuel, coolant, structural parts, etc., and is composed of solid material sheets of different sizes repeatedly stacked in the axial direction, such as Figure 3 shown.
[0076] 3) Each tube material is wrapped by a stainless steel casing, and is composed of materials from various parts such as fuel units, coolants, and structural parts, which are repeatedly stacked in the axial direction in the form of solid material sheets. The height, box, and other states of each part of the material are different, such as Figure 4 shown.
[0077] 4) The components are made of tubular materials, such as Figure 5 As shown, the dark blue area is the tubular material, the light blue area is the sleeve, and the top view is as shown Figure 6 As shown, the hexagonal prism area is a constructed shape, and the actual shape of the component is tubular, that is, the tube sleeve wraps the cylindrical tube, and there is a gap between the tube and the tube sleeve.
[0078] 5) The core radially consists of fuel assemblies, coolant assemblies, structural assemblies and shielding assemblies, such as Figure 7 As shown, different colors represent different types of components.
[0079] 6) Some experiments require the placement of displacers in the gaps between components. The displacer is tubular and its material includes but is not limited to stainless steel. The top view of the displacer is shown in the figure below. Figure 6 As shown in the shaded circle area, each corner of the constructed hexagonal prism area occupies one-third (120 degrees) of the circular area of the displacer.
[0080] In order to effectively consider the non-uniformity of component materials, axial one-dimensional flat plate modeling can be performed for the material repeating unit of the fuel assembly, giving priority to the axial non-uniformity formed by different material arrangements. Compared with the one-dimensional cylindrical equivalent modeling method, the axial one-dimensional flat plate modeling method distinguishes between fuel, coolant materials and other structural characterization materials, and is obviously more effective in reflecting the non-uniformity physically, such as Figure 8 shown.
[0081] According to the mass conservation principle, the above process requires that each axial layer be radially homogenized according to the entire hexagonal grid. For a given axial layer, it is assumed that there are a total of If the material is radially homogenized, then The nuclear density As shown in formula (1):
[0082] (1)
[0083] in Indicates The volume of the material, Indicates nuclide exist The original nuclear density of the region.
[0084] Although the radial homogenization process maintains the overall mass conservation, it ignores the radial inhomogeneity, resulting in radial dilution of each layer of material, which significantly changes the local macroscopic cross-section of the material. For strong absorbers, especially fuel material sheets, this physically changes the neutron mean free path and algorithmically affects the collision probability matrix of each material, resulting in a certain loss of calculation accuracy.
[0085] Based on this, the present application provides a fuel assembly equivalent modeling method, device, computer equipment, medium and product, aiming to solve the above-mentioned technical problems.
[0086] The fuel assembly equivalent modeling method provided in the embodiment of the present application can be applied to Fig. 9 In the application environment shown. Among them, the terminal 102 communicates with the server 104 through the network. The data storage system can store the data that the server 104 needs to process. The data storage system can be integrated on the server 104, or it can be placed on the cloud or other network servers. By dividing the fuel assembly in the experimental bench, a plurality of radially uniform cylinders are obtained; the cylindrical control body includes the initial material; each cylinder is widened to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the equivalent additional material in the hexagonal prism outside the cylinder; the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder are homogenized to obtain the target fuel assembly. Among them, the terminal 102 can be but is not limited to various personal computers, laptops, smart phones, and tablets. The server 104 can be implemented with an independent server or a server cluster consisting of multiple servers.
[0087] In an exemplary embodiment, Fig.10 As shown in the figure, a fuel assembly equivalent modeling method is provided, which is applied to Fig. 9 The terminal in is used as an example to illustrate, including the following steps:
[0088] S201, dividing the fuel assembly in the test bench to obtain a plurality of radially uniform cylinders; the cylinders include initial materials.
[0089] First, a predefined cylinder is designed, which is pre-planned and has a specific geometric shape and size according to actual application requirements. The area of the cylinder refers to the cylindrical area of the cylindrical control volume.
[0090] Partitioning: The fuel assembly in the test bench is divided into multiple radially uniform cylindrical regions. Each region represents different material properties or different operating conditions. According to design requirements, the number and size of cylindrical regions can be set to make it more flexible in subsequent processing.
[0091] Assign each cylindrical area as a "starting material", which can be a mixture of multiple raw materials or a specific single material. Ensure that the material's geometric information and physical properties can be accurately recorded.
[0092] S202, widening each cylindrical region to obtain an equivalent cylindrical control volume; the material of the equivalent cylindrical control volume includes the material of the inner region of the cylinder and the material of the inner region of the hexagonal prism outside the cylinder.
[0093] For each cylindrical area, the material is widened. The widening process should be carried out through mathematical models or numerical simulations to ensure that the physical properties of the material will not be affected after widening.
[0094] Generate equivalent cylindrical material: The widened material is redefined as equivalent cylindrical material, which includes the material of the area inside the cylinder (the original divided material) and the equivalent additional material.
[0095] S203, performing homogenization treatment on the material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder to obtain a target fuel assembly.
[0096] Homogenization: The material in the cylinder area and the material in the hexagonal prism area outside the cylinder are homogenized. In this step, mathematical techniques (such as averaging, finite element analysis, etc.) are used to model the material to eliminate the difference in local properties, thereby achieving an overall homogenization effect.
[0097] Determine the target fuel assembly: The material after homogenization treatment constitutes the target fuel assembly.
[0098] The above-mentioned fuel assembly equivalent modeling method, device, computer equipment, medium and product obtain a plurality of radially uniform cylinders by dividing the fuel assembly in the test bench; the cylinder includes initial materials; each cylinder is widened to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder; the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder are homogenized to obtain the target fuel assembly. The embodiment of the present application adjusts the material composition in a targeted manner according to the characteristics of the inner area of the control body, which can improve the performance directionality of the fuel assembly and meet the needs of specific working conditions. Homogenization of different materials can eliminate differences in local material properties and reduce uncertainties in calculations. This homogenization can make the calculation model simpler, thereby increasing the overall calculation accuracy.
[0099] In an exemplary embodiment, based on the above embodiment, see Fig.11 The embodiment of the present application relates to a process of widening each cylindrical region to obtain an equivalent cylindrical control volume, including the following steps:
[0100] S301, obtaining the boundary of the equivalent cylindrical control volume.
[0101] In the embodiment of the present application, the model creation can be performed in the simulation software to create a basic geometric model of the cylinder according to the project requirements, and ensure that the size and angle of the cylinder meet the design standards.
[0102] In the cylindrical model, define the boundary conditions of the model. This includes fixed position, free position and moving position, etc. Use the boundary extraction tool of the simulation software to extract all the boundary lines of the cylindrical control body.
[0103] S302, widening the cylindrical control volume according to the boundary of the equivalent cylindrical control volume to obtain the equivalent cylindrical control volume.
[0104] In the embodiment of the present application, widening parameter setting: widening parameters are set according to design requirements, such as widening width, direction and other geometric restrictions. Common widening techniques such as equilateral widening, non-uniform widening and the like can be used.
[0105] Material widening implementation: In the simulation software, use the modeling tool to widen the extracted cylindrical boundary. Ensure that the widened material shape is continuous and non-overlapping. During the widening process, check the integrity of the model and the applicability of the boundary conditions in a timely manner to ensure that there are no errors.
[0106] The embodiment of the present application can obtain an equivalent cylindrical material that meets the design requirements. This material has better geometric properties and physical distribution, provides a good foundation for subsequent homogenization treatment and the development of the final fuel assembly, and helps to improve the overall performance and calculation accuracy.
[0107] In an exemplary embodiment, based on the above embodiment, see Fig.12 The embodiment of the present application relates to a process of homogenizing the material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder to obtain a target fuel assembly, including the following steps:
[0108] S401, for the material in the cylindrical region, using a homogenization method to calculate the atomic nucleus density of the material in the cylindrical region after widening.
[0109] In the embodiment of the present application, firstly, the atomic nucleus density (usually expressed in kg / m³) and the height of the material in the inner region of the cylinder are determined according to design requirements or existing literature data.
[0110] S402, determining the atomic nucleus density and total height of the equivalent additional material for the material in the inner region of the hexagonal prism outside the cylinder, and distributing the equivalent additional material according to the total height to obtain a plurality of equivalent additional material sheets.
[0111] In the embodiment of the present application, the equivalent additional material is divided equally according to the determined atomic nucleus density and total height. The division process should ensure that the characteristics of each slice are consistent with the overall material performance.
[0112] Generate equivalent additional material sheets: Cut the divided material into multiple cylindrical material sheets of fixed height to facilitate effective arrangement in subsequent steps. During this process, the atomic nucleus density and size of each material sheet are monitored to ensure the accuracy and consistency of the equalization.
[0113] S403, arranging the equivalent additional material sheets and the widened cylindrical inner area material to obtain the target fuel assembly.
[0114] In the embodiments of the present application, a preliminary plan for material arrangement is formulated based on design standards and performance requirements to determine the relative positions and order of each cylindrical material piece and the material in the cylindrical region.
[0115] Arrangement implementation: Arrange the cylindrical material sheets neatly with the material in the cylindrical area. When arranging, factors such as keeping the macroscopic cross section of the fuel unchanged should be considered to achieve the best performance.
[0116] Optimization and adjustment: After the arrangement is completed, the arrangement effect is evaluated through sensitivity analysis. If necessary, the position of the material pieces is adjusted to achieve the best overall performance and uniformity.
[0117] The embodiments of the present application not only provide a modeling method for complex fuel assemblies through the careful processing and scientific arrangement of equivalent additional materials, but also provide new ideas for future materials science research.
[0118] In an exemplary embodiment, based on the above embodiment, see Fig.13 The present application embodiment relates to a process for determining the density of atomic nuclei, which includes the following steps:
[0119] S501, obtaining the atomic nucleus density and volume of each nuclide in the non-uniform material region within the hexagonal prism outside the radial cylinder; the non-uniform material region within the hexagonal prism outside the radial cylinder includes a plurality of nuclides.
[0120] The embodiment of the present application is mainly divided into the following steps:
[0121] 1) Creation of hexagonal prism-in-cylinder control body model: Use simulation software to create a hexagonal prism-in-cylinder control body model, and set the geometric parameters of the hexagonal prism and cylinder, including side length or radius, and height.
[0122] 2) Material region definition: Based on the design requirements, the outer material region of the cylinder is divided into multiple non-uniform regions. These regions can contain different nuclides or materials. Using the layering function of the simulation software, the boundaries of each region are defined in the model and the geometric properties of each region are recorded.
[0123] S502, calculating the total volume of the equivalent additional material.
[0124] The volume calculation function of the simulation software is used to obtain the volume inside the hexagonal prism outside the cylinder. It should be noted that the volume inside the hexagonal prism outside the cylinder should include the volume of all non-uniform material areas.
[0125] S503, determining the nuclear density of each nuclide in the equivalent additional material according to the nuclear density and volume of each nuclide and the total volume of the equivalent additional material.
[0126] In the present application, the density data of each nuclide defined in the above embodiment are collected. These density data can come from a known material database or experimental measurement. According to the nuclear density and volume of each nuclide and the total volume of the equivalent additional material, the nuclear density of each nuclide in the equivalent additional material is calculated.
[0127] In the embodiments of the present application, detailed information on the material area and density of the cylindrical control body, especially the relevant characteristics of the radially non-uniform material area outside the body, can be obtained, providing an important data basis for further material optimization and fuel assembly design.
[0128] In an exemplary embodiment, based on the above embodiment, see Fig.14 The present application embodiment relates to a calculation process of the total volume of equivalent additional materials, including the following steps:
[0129] S601, obtaining a height of a cylinder, a first cross-sectional area of a hexagonal prism, and a second cross-sectional area of a cylinder.
[0130] In the embodiment of the present application, the height of the equivalent cylindrical control body is determined according to design requirements or existing literature data.
[0131] Calculate the first cross-sectional area of the hexagonal prism. According to the geometric characteristics of the hexagonal prism, the first cross-sectional area can be determined by using the corresponding area calculation formula based on the design requirements or the side length data in the existing literature.
[0132] For a cylinder, whose cross section is a circle, the area of the second cross section can be calculated by measuring parameters such as the radius of the cylinder and using the area formula of a circle.
[0133] S602, performing a difference process on the first cross-sectional area and the second cross-sectional area to obtain a difference result.
[0134] In the embodiment of the present application, the first cross-sectional area and the second cross-sectional area obtained in step S601 are subjected to a difference process. Specifically, the first cross-sectional area is subtracted from the second cross-sectional area to obtain a difference result. The difference result represents the difference between the two cross-sectional areas.
[0135] S603, multiplying the height and the difference result to obtain the total volume of the equivalent additional material.
[0136] In the embodiment of the present application, the external height of the cylinder obtained in step S601 is multiplied by the difference result obtained in step S602. In this way, the total volume of the equivalent additional material can be obtained. This total volume represents the volume of the equivalent additional material generated due to the difference between the two bodies in a specific case.
[0137] Specifically, the radial non-uniform material layer inside the hexagonal prism and outside the cylinder, including the casing, the displacer between components, the rarefied gas filling gap, etc., is homogenized according to the principle of conservation of nucleon number, and the equivalent volume and nucleon number are maintained as an additional material layer. The nuclear density and the cylinder controls the total volume outside the body As shown in formulas (2) and (3) respectively:
[0138] (2)
[0139] (3)
[0140] in, represents the number of regions inside the hexagonal prism outside the cylinder, represents the volume of the area inside the hexagonal prism outside the cylinder, represents the area inside a hexagonal prism outside a cylinder, represents the height of the cylindrical control volume, Indicates that the cylindrical control body The volume of the region, Indicates nuclide exist The nuclear density of the region, and They are the cross-sectional area of the hexagonal prism control volume and the cross-sectional area of the equivalent cylindrical control volume.
[0141] The embodiment of the present application can effectively obtain the height of the cylinder, the first cross-sectional area of the hexagonal prism and the second cross-sectional area of the cylinder, and calculate the total volume of the equivalent additional material. In practical applications, adjustments and optimizations can be made according to specific circumstances to meet different needs.
[0142] In an exemplary embodiment, based on the above embodiment, see Fig.15 The embodiment of the present application relates to a process for determining the height of an equivalent additional material, comprising the following steps:
[0143] S701, obtaining the cross-sectional radius of the equivalent cylindrical control volume.
[0144] In the embodiment of the present application, the cross-sectional radius of the equivalent cylindrical control body can be obtained by selecting an approximate value method of the maximum fuel pellet radius.
[0145] S702, determining the height of the equivalent additional material according to the total volume, cross-sectional radius and pi of the equivalent additional material.
[0146] The known total volume is calculated in the previous steps, and the cross-sectional radius is also obtained in step S701. Pi is a known constant (usually an approximate value such as 3.14159). The total height can be derived from the cylinder volume formula.
[0147] The total height of the cylindrical control volume is determined by calculating the total volume, cross-sectional radius, and pi in a formula.
[0148] Specifically, the equivalent additional materials of the above embodiment need to be considered in the equivalent cylindrical control volume, so as to maintain the conservation of the nucleon number in the entire problem object. As shown in formula (4):
[0149] (4)
[0150] The embodiment of the present application can relatively accurately determine the total height of the equivalent cylindrical control body, providing important parameter basis for related engineering design, scientific research, etc.
[0151] In an exemplary embodiment, based on the above embodiment, see Fig.16 The embodiment of the present application relates to a process of arranging and processing each cylindrical material sheet and each cylindrical inner region material to obtain a target fuel assembly, including the following steps:
[0152] S801, dividing the equivalent additional material to obtain equivalent additional material sheets, and placing them in different materials in the axial region of the widened cylinder.
[0153] In the embodiment of the present application, an equivalent additional material sheet is obtained by a uniform division method, and forms an arrangement with different materials in the axial region of the widened cylinder.
[0154] S802, adjusting the distance between each of the equivalent additional material sheets and the different materials in the widened cylindrical area, and adjusting the symmetric relationship between each of the adjusted equivalent additional material sheets and the different materials in the widened cylindrical area to obtain the target fuel assembly.
[0155] In the embodiment of the present application, first, the arrangement of each equivalent additional material sheet and each cylindrical inner region material that needs to be adjusted is determined according to the result in S801. These materials may have a specific distance relationship in the initial state. Use professional adjustment tools or equipment to accurately adjust the distance between each equivalent additional material sheet and each cylindrical inner region material. The progress of the adjustment can be monitored in real time by a measuring tool to ensure the accuracy of the adjustment. After the adjustment process, the adjusted arrangement of the equivalent additional material sheet and the cylindrical inner region material is obtained. These adjusted materials are more satisfied with keeping the macroscopic cross-section of the fuel unchanged in terms of distance.
[0156] Secondly, analyze the symmetry state of the current material to determine the direction and degree of adjustment required. Sensitivity analysis methods can be used for auxiliary analysis to find the best symmetry adjustment solution.
[0157] Use precise adjustment methods, such as rotation and translation, to gradually adjust the position of each material to achieve a better symmetry relationship. During the adjustment process, continuous inspection and verification are carried out to ensure the accuracy of the symmetry adjustment. When the materials reach the expected symmetry relationship, the target fuel assembly is obtained.
[0158] The embodiments of the present application can effectively adjust and process the materials in the equivalent cylindrical control body to obtain a target fuel assembly that meets the requirements.
[0159] In one embodiment, assuming the radius is The cylindrical control volume is a geometric model for equivalent homogenization. In order to keep the original macroscopic cross-section of each layer of material and the mean free path of neutrons in the material layer as much as possible, the selected In this cylindrical control body, each axial material layer needs to be highly uniform in the radial direction, especially for strong absorbers such as fuel sheets. Usually, the size that is the same as or very close to the radius of the fuel sheet is selected as .
[0160] Due to the difference in radial dimensions of each layer of material, The cylindrical control body with a radius of cannot wrap or cover all axial materials, or covers part of the cavity. Therefore, it is necessary to perform homogenization calculations on each layer of axial material according to the principle of conservation of nucleon number. For the material sheet box material on the radial side, it is also homogenized to the upper / lower layer material sheet box material according to the principle of conservation of nucleon number.
[0161] Next, the radially non-uniform material layer inside the hexagonal control body and outside the cylindrical control body, including the casing, inter-component displacer, rarefied gas filling gaps, etc., are homogenized according to the principle of conservation of nucleon number, maintaining equal volume and equal nucleon number as an additional material layer.
[0162] like Fig.17 As shown, the height is , the nuclear density is The cylindrical material sheet is divided into several parts, each of which is close to the thickness of the non-fuel material layer, and inserted into the cylindrical control body (such as structural material, coolant material, depleted uranium material area, etc.), keeping a certain distance from the fuel, so that the physical environment of the fuel material sheet is close to the complex environment before the equivalent. If the original problem has symmetry, the insertion position also needs to maintain symmetry and restore the geometric properties.
[0163] Compared with traditional homogenization, this application considers the non-uniformity of the assembly in two dimensions, including the non-uniform direction dominated by the material arrangement, and the non-uniformity in other directions formed by the material box, tube wall or assembly sleeve. This application makes the lowest homogenization approximation in the strong absorption area (the area with high density of fissile materials), giving priority to maintaining the high density and macroscopic cross-section of fissile materials. In theory, it can more effectively consider the spatial self-shielding effect and restore the physical properties of neutrons in strong absorbers.
[0164] It should be understood that, although the various steps in the flowcharts involved in the above-mentioned embodiments are displayed in sequence according to the indication of the arrows, these steps are not necessarily executed in sequence according to the order indicated by the arrows. Unless there is a clear explanation in this article, the execution of these steps does not have a strict order restriction, and these steps can be executed in other orders. Moreover, at least a part of the steps in the flowcharts involved in the above-mentioned embodiments can include multiple steps or multiple stages, and these steps or stages are not necessarily executed at the same time, but can be executed at different times, and the execution order of these steps or stages is not necessarily to be carried out in sequence, but can be executed in turn or alternately with other steps or at least a part of the steps or stages in other steps.
[0165] Based on the same inventive concept, the embodiment of the present application also provides a fuel assembly equivalent modeling device for implementing the above-mentioned fuel assembly equivalent modeling method. The implementation scheme for solving the problem provided by the device is similar to the implementation scheme recorded in the above-mentioned method, so the specific limitations in one or more fuel assembly equivalent modeling device embodiments provided below can refer to the limitations of the fuel assembly equivalent modeling method above, and will not be repeated here.
[0166] In one embodiment, Fig.18 As shown, a fuel assembly equivalent modeling device 1000 is provided, comprising:
[0167] The material division module 1001 is used to divide the fuel assembly in the test bench to obtain a plurality of radially uniform cylinders; the cylinders include initial materials;
[0168] The material widening module 1002 is used to widen each cylinder to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder;
[0169] The material homogenization module 1003 is used to homogenize the material in the cylindrical area and the material in the hexagonal prism area outside the cylindrical area to obtain a target fuel assembly.
[0170] In one embodiment, the material widening module comprises:
[0171] A boundary acquisition unit, used to acquire the boundary of the equivalent cylindrical control volume;
[0172] The material widening unit is used to widen the cylindrical control volume according to the boundary of the equivalent cylindrical control volume to obtain the equivalent cylindrical control volume.
[0173] In one embodiment, the material homogenization module is used to:
[0174] For the material in the cylinder area, the atomic nucleus density of the material in the expanded cylinder area is calculated using a homogenization method;
[0175] For the material in the area inside the hexagonal prism outside the cylinder, determine the atomic nucleus density and total height of the equivalent additional material, and distribute the equivalent additional material according to the total height to obtain multiple equivalent additional material sheets;
[0176] The equivalent additional material sheets and the material in the widened cylindrical inner area are arranged to obtain a target fuel assembly.
[0177] In one embodiment, the data determination unit is used to:
[0178] Obtaining the atomic nucleus density and volume of each nuclide in the non-uniform material region within the hexagonal prism outside the radial cylinder; the non-uniform material region within the hexagonal prism outside the radial cylinder includes multiple nuclides;
[0179] Calculate the total volume of equivalent additional material;
[0180] The nuclear density of each nuclide in the equivalent additional material is determined based on the nuclear density and volume of each nuclide and the total volume of the equivalent additional material.
[0181] In one embodiment, the total volume calculation subunit is specifically used for:
[0182] Obtain the height of the cylinder, the first cross-sectional area of the hexagonal prism, and the second cross-sectional area of the cylinder;
[0183] Performing a difference process on the first cross-sectional area and the second cross-sectional area to obtain a difference result;
[0184] The height and difference results are multiplied to obtain the total volume of the equivalent additional material.
[0185] In one embodiment, the data determination unit is used to:
[0186] Get the cross-sectional radius of the equivalent cylindrical control volume;
[0187] The height of the equivalent additional material is determined based on the total volume of the equivalent additional material, the cross-sectional radius and the pi.
[0188] In one embodiment, the material arrangement unit is used to:
[0189] The equivalent additional material is divided to obtain equivalent additional material sheets, and placed in different materials in the axial region of the widened cylinder;
[0190] Adjust the distance between each equivalent additional material sheet and different materials in the widened cylindrical area;
[0191] The symmetric relationship between the adjusted equivalent additional material sheets and the different materials in the widened inner area of the cylinder is adjusted to obtain a target fuel assembly.
[0192] Each module in the above-mentioned fuel assembly equivalent modeling device can be implemented in whole or in part by software, hardware and a combination thereof. Each of the above-mentioned modules can be embedded in or independent of a processor in a computer device in the form of hardware, or can be stored in a memory in a computer device in the form of software, so that the processor can call and execute the operations corresponding to each of the above modules.
[0193] In one embodiment, a computer device is provided. The computer device may be a terminal, and its internal structure diagram may be as follows: Fig.19 As shown. The computer device includes a processor, a memory, an input / output interface, a communication interface, a display unit and an input device. The processor, the memory and the input / output interface are connected through a system bus, and the communication interface, the display unit and the input device are connected to the system bus through the input / output interface. The processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The input / output interface of the computer device is used to exchange information between the processor and the external device. The communication interface of the computer device is used to communicate with an external terminal in a wired or wireless manner, and the wireless manner can be realized through WIFI, a mobile cellular network, NFC (near field communication) or other technologies. When the computer program is executed by the processor, a fuel assembly equivalent modeling method is realized. The display unit of the computer device is used to form a visually visible picture, which can be a display screen, a projection device or a virtual reality imaging device. The display screen can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer device can be a touch layer covering the display screen, or a button, trackball or touchpad set on the computer device shell, or an external keyboard, touchpad or mouse.
[0194] Those skilled in the art will understand that Fig.19 The structure shown in the figure is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation on the computer device to which the solution of the present application is applied. The specific computer device may include more or fewer components than those shown in the figure, or combine certain components, or have a different arrangement of components.
[0195] In one embodiment, a computer device is provided, including a memory and a processor, wherein a computer program is stored in the memory, and when the processor executes the computer program, the following steps are implemented:
[0196] The fuel assembly in the test bench is divided into multiple radially uniform cylinders; the cylindrical control body includes the initial material;
[0197] Widen each cylinder to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the equivalent additional material outside the cylinder;
[0198] The material in the cylindrical area and the equivalent additional material are homogenized to obtain the target fuel assembly.
[0199] In one embodiment, a computer-readable storage medium is provided, on which a computer program is stored, and when the computer program is executed by a processor, the following steps are implemented:
[0200] The fuel assembly in the test bench is divided into a plurality of radially uniform cylinders; the cylinders include initial materials;
[0201] Widen each cylinder to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the equivalent additional material outside the cylinder;
[0202] The material in the cylindrical area and the equivalent additional material are homogenized to obtain the target fuel assembly.
[0203] In one embodiment, a computer program product is provided, comprising a computer program, which, when executed by a processor, implements the following steps:
[0204] The fuel assembly in the test bench is divided into a plurality of radially uniform cylinders; the cylinders include initial materials;
[0205] Widen each cylinder to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the equivalent additional material outside the cylinder;
[0206] The material in the cylindrical area and the equivalent additional material are homogenized to obtain the target fuel assembly.
[0207] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, stored data, displayed data, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties, and the collection, use and processing of relevant data must comply with relevant laws, regulations and standards of relevant countries and regions.
[0208] Those skilled in the art can understand that all or part of the processes in the above-mentioned embodiment methods can be completed by instructing the relevant hardware through a computer program, and the computer program can be stored in a non-volatile computer-readable storage medium. When the computer program is executed, it can include the processes of the embodiments of the above-mentioned methods. Among them, any reference to the memory, database or other medium used in the embodiments provided in this application can include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetoresistive random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory can include random access memory (RAM) or external cache memory, etc. As an illustration and not limitation, RAM can be in various forms, such as static random access memory (SRAM) or dynamic random access memory (DRAM). The database involved in each embodiment provided in this application may include at least one of a relational database and a non-relational database. Non-relational databases may include distributed databases based on blockchains, etc., but are not limited to this. The processor involved in each embodiment provided in this application may be a general-purpose processor, a central processing unit, a graphics processor, a digital signal processor, a programmable logic device, a data processing logic device based on quantum computing, etc., but are not limited to this.
[0209] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0210] The above-described embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the present application. It should be pointed out that, for a person of ordinary skill in the art, several variations and improvements can be made without departing from the concept of the present application, and these all belong to the protection scope of the present application. Therefore, the protection scope of the present application shall be subject to the attached claims.
Claims
1. A fuel assembly equivalent modeling method, characterized in that: The method comprises: Dividing the fuel assembly in the test bench to obtain a plurality of radially uniform cylinders; the cylinders include initial materials; Performing widening processing on each of the cylinders to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner area of the cylinder and the material of the inner area of the hexagonal prism outside the cylinder; The material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder are homogenized to obtain a target fuel assembly.
2. The method according to claim 1, characterized in that Widening is performed on each of the cylinders to obtain an equivalent cylindrical control volume, including: Get the boundary of the equivalent cylindrical control volume; According to the boundary of the equivalent cylindrical control volume, the cylinder is widened to obtain the equivalent cylindrical control volume.
3. The method according to claim 2, characterized in that The method of homogenizing the material in the cylindrical inner region and the material in the hexagonal prism outer region of the cylindrical outer region to obtain a target fuel assembly comprises: For the material in the cylindrical region, a homogenization method is used to calculate the atomic nucleus density of the material in the cylindrical region after widening; For the material in the inner region of the hexagonal prism outside the cylinder, determining the atomic nucleus density and the total height of the equivalent additional material, and distributing the equivalent additional material according to the total height to obtain a plurality of equivalent additional material sheets; The equivalent additional material sheets and the widened cylindrical inner area material are arranged to obtain the target fuel assembly.
4. The method according to claim 3, characterized in that The process of determining the atomic nucleus density of the equivalent additional material includes: Obtaining the atomic nucleus density and volume of each nuclide in the non-uniform material region in the hexagonal prism outside the radial cylinder; the non-uniform material region in the hexagonal prism outside the radial cylinder includes a plurality of nuclides; Calculate the total volume of the equivalent additional material; The nuclear density of each nuclide in the equivalent additional material is determined according to the nuclear density and volume of each nuclide and the total volume of the equivalent additional material.
5. The method according to claim 4, characterized in that The calculation process of the total volume of the equivalent additional material includes: Obtaining the height of the cylinder, the first cross-sectional area of the hexagonal prism, and the second cross-sectional area of the cylinder; Performing a difference process on the first cross-sectional area and the second cross-sectional area to obtain a difference result; The height and the difference result are multiplied to obtain the total volume of the equivalent additional material.
6. The method according to claim 5, characterized in that The process of determining the height of the equivalent additional material includes: Obtaining the cross-sectional radius of the equivalent cylindrical control volume; The height of the equivalent additional material is determined according to the total volume of the equivalent additional material, the cross-sectional radius and the pi.
7. The method according to claim 3, characterized in that The step of arranging the equivalent additional material sheets and the widened cylindrical inner region material to obtain the target fuel assembly comprises: The equivalent additional material is divided to obtain equivalent additional material sheets, and placed in different materials in the axial region of the widened cylinder; The distance between each of the equivalent additional material sheets and the different materials in the widened cylindrical area is adjusted; the symmetric relationship between each of the adjusted equivalent additional material sheets and the different materials in the widened cylindrical area is adjusted to obtain the target fuel assembly.
8. A fuel assembly equivalent modeling device, characterized in that: The device comprises: A material division module is used to divide the fuel assembly in the test bench to obtain a plurality of radially uniform cylinders; the cylinders include initial materials; A material widening module, used for widening each of the cylindrical regions to obtain an equivalent cylindrical control body; the material of the equivalent cylindrical control body includes the material of the inner region of the cylinder and the equivalent additional material in the hexagonal prism outside the cylinder; The material homogenization module is used to perform homogenization treatment on the material in the inner area of the cylinder and the material in the inner area of the hexagonal prism outside the cylinder to obtain a target fuel assembly.
9. A computer device comprising a memory and a processor, wherein the memory stores a computer program, wherein: When the processor executes the computer program, the steps of the method according to any one of claims 1 to 7 are implemented.
10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.
11. A computer program product, comprising a computer program, characterized in that When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.