A large aperture mesh antenna reflector surface operating area partition topology design method and system balancing gain and grating lobe level double targets

By dividing the working area of ​​the reflector into a central region and an edge region, and optimizing the number of sub-rings and the cable length sequence in each region, the problem of balancing gain and grating lobe level in existing designs is solved, achieving an optimized design with high gain and low grating lobe level, thus improving the electrical and structural performance of the antenna.

CN122113597APending Publication Date: 2026-05-29XIDIAN UNIV

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
XIDIAN UNIV
Filing Date
2026-02-02
Publication Date
2026-05-29

AI Technical Summary

Technical Problem

In existing mesh topology designs, it is difficult to find the optimal balance between gain and grating lobe level, resulting in underutilization of the high-gain region and poor grating lobe level. Furthermore, existing methods are prone to increasing electromagnetic leakage and reducing gain during optimization.

Method used

A dual-objective design approach balancing gain and grating level is adopted. The working area of ​​the reflector is divided into a central region and an edge region. Through multi-objective optimization, the number of sub-rings and cable length sequences are allocated in each region. The Pareto optimal solution is obtained by using the NSGA-II algorithm to optimize the cable length distribution and grid density.

Benefits of technology

This approach maximizes gain and minimizes grating lobe level while meeting structural mechanics requirements, expanding the solution space for topology design and improving the electrical and structural performance of the antenna.

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Abstract

The application is a large aperture mesh antenna reflector surface working area partition topology design method and system which balances the gain-groove lobe level double target; according to the antenna working parameters, the gain-node displacement relationship of the reflector surface is calculated; the division point is determined according to the gain-node displacement relationship, and the working area of the reflector surface is divided into a central area and an edge area according to the division point; the total number of the working area of the antenna is determined, and the ring number distribution combination satisfying the central area and the edge area is generated according to the total number of the ring; the ring number distribution combination is traversed, for the current combination being traversed, the combination satisfying the theoretical surface accuracy requirement is calculated and reserved, and the Pareto optimal solution corresponding to the current ring number distribution combination is obtained; the Pareto optimal solution of all feasible ring number distribution combinations is obtained, and the mechanical balance of the global optimal population is obtained. Through the partition concept of contribution difference, the topology design can allocate the limited optimization resources in the high-efficiency area, and realizes the optimization configuration of the design resources.
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Description

Technical Field

[0001] This invention relates to the field of mesh antenna topology design, specifically to a method and system for partitioning the working area of ​​a large-aperture mesh antenna reflector to balance gain and grating lobe level dual targets. Background Technology

[0002] Fields such as space remote sensing and navigation place higher demands on the performance of large-aperture deployable mesh reflector antennas. These antennas consist of a ring truss, a cable mesh structure, and metal wire mesh attached to the working area of ​​the cable mesh structure. The antenna's electrical performance is determined by the topology of the working area, and the topology design must revolve around core parameters such as the number of rings and the cable length sequence.

[0003] Among existing mesh types, triangular meshes are the most widely used topology because they can balance electrical performance and structural complexity. However, existing topology schemes have the following problems: 1. The difference in contribution of different positions of the reflective surface to electrical performance, which is determined by topological parameters, is ignored, resulting in the central region, which contributes more to electrical performance, not being fully considered; 2. Uniform grids are prone to generating periodic grating lobes, which interfere with signal processing. Existing methods to eliminate grating lobes by disrupting uniformity (such as changing the grid shape or optimizing the cable length sequence) often come at the cost of increasing the maximum grid size, increasing electromagnetic wave leakage, and reducing gain. Maximizing gain and minimizing grating lobe levels are mutually constraining objectives. Existing design methods have limited solution space and cannot provide diverse optimal solutions under the dual objectives of gain and grating lobe level, thus failing to fully meet the needs of engineering applications. 3. Complex mesh topologies can effectively suppress gate lobe levels, but at the cost of more difficult shape design and greater susceptibility to manufacturing and assembly errors in engineering applications. Summary of the Invention

[0004] To address the problems mentioned in the prior art, this invention proposes a method and system for designing the working area topology of a large-aperture mesh antenna reflector that balances gain and grating lobe level. This method can clearly define the criteria for dividing different areas of the working area, optimize the allocation of the number of rings in different areas and the corresponding cable length sequence under the condition that the total number of rings is determined, balance the gain and grating lobe level, and meet the mechanical performance requirements.

[0005] To achieve the above objectives, the present invention adopts the following technical solution: This invention proposes a method for partitioning the working region topology of a large-aperture mesh antenna reflector to balance gain and grating lobe level for dual targets, comprising the following steps: S1. Calculate the gain-node displacement relationship of the reflector based on the antenna's operating parameters; determine the dividing points based on the gain-node displacement relationship, and divide the working area of ​​the reflector into a central area and an edge area based on the dividing points; S2. Determine the total number of sub-rings in the antenna's working area, and generate a sub-ring number allocation combination that satisfies the central area and the edge area based on the total number of sub-rings; S3. Traverse the combinations of ring number allocation. For the currently traversed combination, perform the following sub-steps: S31. Based on the current ring number distribution combination, perform preliminary division in the central area and the edge area according to the uniform grid, and calculate the corresponding theoretical surface accuracy. S32. Determine whether the theoretical surface accuracy is better than the preset theoretical surface accuracy requirement value; if yes, execute S33; if no, skip S33 and continue to traverse the next group of ring number allocation combinations. S33. With the optimization objectives of maximizing the theoretical antenna gain and minimizing the antenna grating lobe level, and with the cable length of the central region and the edge region as the design variables, multi-objective optimization is performed under the condition of satisfying the predetermined cable length constraint to obtain the Pareto optimal solution corresponding to the current ring number allocation combination. S4. Obtain the Pareto optimal solution for all feasible combinations of ring number distributions, and obtain the mechanical equilibrium of the globally optimal population and its corresponding topological combination.

[0006] As a further improvement, the calculation of the gain-nodal displacement relationship of the reflecting surface in S1 includes: Calculation of radiation integral when nodal displacement exists on the reflecting surface based on physical optics method; Calculate the antenna's far-field and gain using radiation integral; The differential of antenna gain with respect to node displacement is calculated using the finite difference method, and the gain-node displacement relationship is obtained after normalization.

[0007] As a further improvement, determining the partitioning point based on the gain-node displacement relationship in S1 includes: Find the radial maximum point of the gain-nodal displacement relationship; Based on the geometric relationship between the maximum point and the distribution curve of the gain-nodal displacement relationship, the coordinates of the dividing point located on the radial coordinate axis of the reflecting surface are determined.

[0008] As a further improvement, S2 generates a combination of ring number allocations that satisfies the central region and the edge region, including: The number of sub-rings in the central area and the number of sub-rings in the peripheral area are both integers, and their sum equals the total number of sub-rings.

[0009] As a further improvement, the predetermined cable length constraint conditions in S33 include the total cable length constraint in the central region, the total cable length constraint in the edge region, and the single cable length constraint in both the central region and the edge region.

[0010] As a further improvement, the multi-objective optimization in S3 adopts the NSGA-II algorithm.

[0011] As a further improvement, the antenna operating parameters in S1 include the aperture, focal length, feed pattern index, and operating frequency of the operating area.

[0012] This invention proposes a topology design system for the working area partitioning of a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets, comprising: The calculation module is used to calculate the gain-node displacement relationship of the reflector based on the antenna's operating parameters; determine the division points based on the gain-node displacement relationship; and divide the working area of ​​the reflector into a central region and an edge region based on the division points. The allocation module is used to determine the total number of sub-rings in the antenna's working area and generate a sub-ring allocation combination that satisfies the central area and the edge area based on the total number of sub-rings. The traversal module is used to traverse combinations of cyclic number allocation. For the currently traversed combination, the following sub-steps are executed: Based on the current ring number distribution combination, the central area and the edge area are initially divided into uniform grids, and the corresponding theoretical surface accuracy is calculated. Determine if the theoretical surface accuracy is better than the preset theoretical surface accuracy requirement; if yes, proceed to the next step; if no, skip the next step and continue to traverse the next group of ring number allocation combinations. With the optimization objectives of maximizing the theoretical antenna gain and minimizing the antenna grating lobe level, and with the cable lengths of the central and edge regions as design variables, multi-objective optimization is performed under the condition of satisfying the predetermined cable length constraints to obtain the Pareto optimal solution corresponding to the current ring number allocation combination. The output module is used to obtain the Pareto optimal solution for all feasible combinations of ring number allocations, and to obtain the mechanical equilibrium of the globally optimal population and its corresponding topological combination.

[0013] This invention proposes a device for designing the working area partitioning topology of a large-aperture mesh antenna reflector with a trade-off between gain and grating lobe level for dual targets. The device includes a processor and a memory. When the processor executes the computer program stored in the memory, it implements the aforementioned method for designing the working area partitioning topology of a large-aperture mesh antenna reflector with a trade-off between gain and grating lobe level for dual targets.

[0014] This invention proposes a computer-readable storage medium for storing a computer program, wherein the computer program, when executed by a processor, implements the above-described method for partitioning the working area topology of a large-aperture mesh antenna reflector with a trade-off between gain and grating lobe level.

[0015] Compared with the prior art, the present invention achieves the following technical effects: This invention effectively overcomes the technical problems existing in the design of existing mesh antenna topologies. Based on the "gain-node displacement relationship," which reflects the sensitivity of electrical performance, the working area of ​​the reflector is divided into a central region and an edge region. This division is based on the difference in electromagnetic performance contribution. The central region has a greater impact on the antenna gain, and the surface accuracy must be ensured in subsequent design. The edge region, on the other hand, affects radiation sidelobe characteristics such as grating lobe level. Through the partitioning concept based on contribution difference, the topology design can allocate limited optimization resources and structural complexity to the region with the highest efficiency, thus achieving optimized configuration of design resources.

[0016] This invention introduces multi-objective optimization and partitioned design control. Under the constraints of meeting basic structural mechanics requirements (such as surface accuracy and cable force balance), it constructs the goal of maximizing gain and minimizing grating lobe level as simultaneous optimization objectives. By optimizing the distribution combination of sub-ring number and cable length sequence within each partition, and simultaneously controlling the grid density distribution and grid shape distribution of the reflector, the contradiction between high gain and low grating lobe level is effectively balanced. The NSGA-II algorithm of this invention solves the optimization problem and can directly obtain the best Pareto optimal solution, which greatly expands the solution space of topology design and provides flexibility for engineering practice. Attached Figure Description

[0017] Figure 1 This is a schematic diagram of the deployable cable-net antenna structure in an embodiment of the present invention; Figure 2 This is a schematic diagram of the coordinate system set and small displacement for calculating electrical performance in an embodiment of the present invention; Figure 3 This is a schematic diagram of the reflector zoning standard based on the gain-node displacement relationship in an embodiment of the present invention; Figure 4 This is a flowchart of the topology design in an embodiment of the present invention; Figure 5 This is a schematic diagram of the optimization results in an embodiment of the present invention. Detailed Implementation

[0018] The present invention will now be described in further detail with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and not intended to limit it. Furthermore, it should be noted that, for ease of description, the accompanying drawings show only the parts relevant to the present invention, and not all of the structures.

[0019] This embodiment proposes a method for partitioning the working area topology of a large-aperture mesh antenna reflector to balance gain and grating lobe level for dual targets, including the following steps: S1. Calculate the gain-node displacement relationship of the reflector based on the antenna's operating parameters; determine the dividing points based on the gain-node displacement relationship, and divide the working area of ​​the reflector into a central area and an edge area based on the dividing points; S2. Determine the total number of sub-rings in the antenna's working area, and generate a sub-ring number allocation combination that satisfies the central area and the edge area based on the total number of sub-rings; S3. Traverse the combinations of ring number allocation. For the currently traversed combination, perform the following sub-steps: S31. Based on the current ring number distribution combination, perform preliminary division in the central area and the edge area according to the uniform grid, and calculate the corresponding theoretical surface accuracy. S32. Determine whether the theoretical surface accuracy is better than the preset theoretical surface accuracy requirement value; if yes, execute S33; if no, skip S33 and continue to traverse the next group of ring number allocation combinations. S33. With the optimization objectives of maximizing the theoretical antenna gain and minimizing the antenna grating lobe level, and with the cable length of the central region and the edge region as the design variables, multi-objective optimization is performed under the condition of satisfying the predetermined cable length constraint to obtain the Pareto optimal solution corresponding to the current ring number allocation combination. S4. Obtain the Pareto optimal solution for all feasible combinations of ring number distributions, and obtain the mechanical equilibrium of the globally optimal population and its corresponding topological combination.

[0020] The present invention will be further explained below with reference to the accompanying drawings and specific embodiments: Step 1: Determine the aperture of the antenna's operating area ,focal length Operating frequency and feed pattern index , Using parameters to solve the gain-nodal displacement relationship .

[0021] First, the radiation integral when the reflecting surface has a minimal displacement is calculated using physical optics: (1); In the formula: For induced current; wave constant Operating wavelength ; The speed of light; The position vector of a point on the reflecting surface; Represents the unit direction vector at the far-field observation point; This represents the spherical coordinate components of a point in the feed coordinate system before deformation; Represents the spherical coordinate components of the far-field observation point; This indicates the reflective surface area.

[0022] Expand the error term into a first-order Taylor series and ignore the minima: (2); This includes error-free and the difference in the effect of error . The induced current is excited by the electric field of an ideal tapered feed source, using... Linear polarization, when the cosine-Q feed is , When known, the far-field directivity coefficient is: (3); In the formula: This represents the total power radiated by the feed source. The distance between the radiation point and the feed source; For the far field, the relationship with the radiation integral is: (4) Where: wave impedance ; The distance between the field point and the radiation point; Unit dyadic; Represents a unit vector The dāna.

[0023] Gain is the maximum directivity coefficient. .

[0024] The far-field, directivity coefficient, and gain under error-free conditions are as follows: , , .

[0025] By constructing the differential of the gain with respect to the node displacement using the finite difference method, taking the absolute value and normalizing it, the relationship between the reflector antenna gain and the structural displacement is obtained: (5); In the formula: This indicates normalization processing. This indicates taking the absolute value.

[0026] First, it increases to a maximum value, then decreases to a minimum value, and finally increases again, reaching a maximum value at the center of the antenna. Larger than the surrounding area.

[0027] For a mesh antenna, once the node positions of the triangular mesh are determined, the gain-structure displacement relationship at each node is also determined. Therefore, the gain-structure displacement relationship of the mesh antenna is... Dimensions and values ​​and node coordinates Relatedly, it can be expressed as a function of node coordinates: (6); By dividing the ring number and the length sequence of the cable unit Determine node coordinates ,Right now: (7); Formula (5) can be expressed as: (8); from Starting from the distribution, take the radial maximum value and draw a straight line along the X-axis to the central region. The x-axis intersects at point A. A straight line is drawn along the y-axis through point A, intersecting the x-axis at point B. The coordinates of point B are... Using point B as the dividing point, the reflecting surface is radially divided into a central area and an edge area. The apertures of the central area and the edge area are... , They are respectively: (9); (10); Set the antenna boundary aperture as Number of truss units Work area divided into rings Manually add boundary cables to connect the working area boundary and the truss joint, and set the theoretical surface accuracy requirements. ; Step Two: The number of rings is strictly limited to integers. The number of rings in the central area and the edge area are as follows: , Add ring number constraints to each: (11); (12); Considering mechanical properties, Then, the distribution combinations of ring numbers in different regions are as follows: (13); In the formula: there are a total of Component ring number allocation scheme; Step 3: In this embodiment, the first allocation scheme is selected; according to the current allocation scheme, uniform grids are divided in both regions, and the theoretical surface accuracy is calculated. ; Calculate the theoretical surface accuracy Compared with the preset theoretical surface accuracy requirements In comparison, if Then proceed to the next allocation scheme and traverse the second group of ring number allocation combinations; otherwise, solve the current lower-level problem and proceed to step four.

[0028] Step 4: Using theoretical gain Take the maximum value and the grid lobe level. Take the minimum value (i.e.) To achieve the maximum value, add cable lengths and constraints for each region: (14); (15); Allocation using the current number of rings Add single cable length constraint (16); (17); The NSGA-II algorithm is used to find the Pareto optimal solution for the current ring number allocation.

[0029] Step 5: Update the globally optimal Pareto front and solution set , ; Step Six: Repeat steps three through five until all ring number allocation schemes have been traversed, and solve for the equilibrium state of the globally optimal population. (18); In the formula: This represents the balance matrix of the cable net structure. This represents the column vector of cable forces that are greater than zero.

[0030] Calculate the accuracy of the theoretical profile .

[0031] (19); In the formula: Indicates the first The actual coordinates of each node; This indicates the total number of nodes in the working area.

[0032] The following simulation examples further illustrate the adjustment effects of the present invention: like Figure 1 As shown, the deployable mesh reflector antenna targeted by this method consists of a cable-net structure and a ring truss, with the metal mesh attached to the working area to perform electromagnetic wave transmission and reception. Based on... Figure 2Establish a coordinate system and calculate the gain-nodal displacement relationship of a 10m aperture antenna, such as... Figure 3 As shown. Draw a straight line along the x-axis through the maximum value, intersecting the gain-nodal displacement relationship curve at point A. Draw a straight line along the y-axis through point A, intersecting at point B, with coordinates (1.24m, 0). This divides the reflecting surface into a central region and an edge region. The working area has 8 rings, based on... Figure 4 After topology optimization of the process shown, the globally optimal Pareto front is as follows: Figure 5 As shown, the proposed scheme can achieve optimality in both directions of maximum gain and minimum grating level. At the same time, the theoretical surface accuracy of the population is (0.002, 0.0061) mm, which has good structural performance.

[0033] In summary, this invention, based on the contribution to electrical performance, divides the reflector surface into different regions, allocates the number of rings, and designs the corresponding cable length sequence, thus balancing the contradiction between high gain and low grating lobe level. Its advantages lie in maximizing the contribution of each region of the reflector surface to electrical performance, balancing the antenna gain and grating lobe level requirements, and also possessing good theoretical surface accuracy.

[0034] Based on the same inventive concept, this invention also provides a topology design system for the working area partitioning of a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets. Since the principle of this topology design system for the working area partitioning of a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets is similar to the aforementioned topology design method for the working area partitioning of a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets, the implementation of this topology design system for the working area partitioning of a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets can refer to the implementation of the topology design method for the working area partitioning of a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets, and the repetitions will not be repeated.

[0035] In specific implementation, the large-aperture mesh antenna reflector working area partitioning topology design system for dual targets with trade-off between gain and grating lobe level provided in this embodiment of the invention specifically includes: The calculation module is used to calculate the gain-node displacement relationship of the reflector based on the antenna's operating parameters; determine the division points based on the gain-node displacement relationship; and divide the working area of ​​the reflector into a central region and an edge region based on the division points. The allocation module is used to determine the total number of sub-rings in the antenna's working area and generate a sub-ring allocation combination that satisfies the central area and the edge area based on the total number of sub-rings. The traversal module is used to traverse combinations of cyclic number allocation. For the currently traversed combination, the following sub-steps are executed: Based on the current ring number distribution combination, the central area and the edge area are initially divided into uniform grids, and the corresponding theoretical surface accuracy is calculated. Determine if the theoretical surface accuracy is better than the preset theoretical surface accuracy requirement; if yes, proceed to the next step; if no, skip the next step and continue to traverse the next group of ring number allocation combinations. With the optimization objectives of maximizing the theoretical antenna gain and minimizing the antenna grating lobe level, and with the cable lengths of the central and edge regions as design variables, multi-objective optimization is performed under the condition of satisfying the predetermined cable length constraints to obtain the Pareto optimal solution corresponding to the current ring number allocation combination. The output module is used to obtain the Pareto optimal solution for all feasible combinations of ring number allocations, and to obtain the mechanical equilibrium of the globally optimal population and its corresponding topological combination.

[0036] Accordingly, embodiments of the present invention also provide a device for designing the working area partitioning topology of a large-aperture mesh antenna reflector with a trade-off between gain and grating lobe level dual targets, including a processor and a memory, wherein the processor executes a computer program stored in the memory to implement the method for designing the working area partitioning topology of a large-aperture mesh antenna reflector with a trade-off between gain and grating lobe level dual targets as provided in embodiments of the present invention.

[0037] For more detailed information on the above methods, please refer to the relevant content disclosed in the foregoing embodiments, which will not be repeated here.

[0038] Accordingly, embodiments of the present invention also provide a computer-readable storage medium for storing a computer program, wherein the computer program, when executed by a processor, implements the above-described method for partitioning the working area topology of a large-aperture mesh antenna reflector with a trade-off between gain and grating lobe level as provided in embodiments of the present invention.

[0039] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For the systems, devices, and storage media disclosed in the embodiments, since they correspond to the methods disclosed in the embodiments, the descriptions are relatively simple; relevant parts can be referred to the method section.

[0040] Those skilled in the art will further recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of both. To clearly illustrate the interchangeability of hardware and software, the components and steps of the various examples have been generally described in terms of functionality in the foregoing description. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.

[0041] The steps of the methods or algorithms described in conjunction with the embodiments disclosed herein can be implemented directly by hardware, a software module executed by a processor, or a combination of both. The software module can be located in random access memory (RAM), main memory, read-only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, hard disk, removable disk, CD-ROM, or any other form of storage medium known in the art.

[0042] Finally, it should be noted that in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, 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 limitations, 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.

[0043] The foregoing has provided a detailed description of the method, system, device, and storage medium for designing the working area partitioning topology of a large-aperture mesh antenna reflector with a tradeoff between gain and grating lobe level, as provided by this invention. Specific examples have been used to illustrate the principles and implementation methods of this invention. The descriptions of the above embodiments are only for the purpose of helping to understand the method and core ideas of this invention. At the same time, for those skilled in the art, there will be changes in the specific implementation methods and application scope based on the ideas of this invention. Therefore, the content of this specification should not be construed as a limitation of this invention.

Claims

1. A method for designing a partitioned topology of the working region of a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets, characterized in that... Includes the following steps: S1. Calculate the gain-node displacement relationship of the reflector based on the antenna's operating parameters; determine the dividing points based on the gain-node displacement relationship, and divide the working area of ​​the reflector into a central area and an edge area based on the dividing points; S2. Determine the total number of sub-rings in the antenna's working area, and generate a sub-ring number allocation combination that satisfies the central area and the edge area based on the total number of sub-rings; S3. Traverse the combinations of ring number allocation. For the currently traversed combination, perform the following sub-steps: S31. Based on the current ring number distribution combination, perform preliminary division in the central area and the edge area according to the uniform grid, and calculate the corresponding theoretical surface accuracy. S32. Determine whether the theoretical surface accuracy is better than the preset theoretical surface accuracy requirement value; if yes, execute S33; if no, skip S33 and continue to traverse the next group of ring number allocation combinations. S33. With the optimization objectives of maximizing the theoretical antenna gain and minimizing the antenna grating lobe level, and with the cable length of the central region and the edge region as the design variables, multi-objective optimization is performed under the condition of satisfying the predetermined cable length constraint to obtain the Pareto optimal solution corresponding to the current ring number allocation combination. S4. Obtain the Pareto optimal solution for all feasible combinations of ring number distributions, and obtain the mechanical equilibrium of the globally optimal population and its corresponding topological combination.

2. The method for partitioning the working region topology of a large-aperture mesh antenna reflector for a dual-target dual-target antenna that balances gain and grating lobe level, as described in claim 1, is characterized in that... The calculation of the gain-nodal displacement relationship of the reflecting surface in S1 includes: Calculation of radiation integral when nodal displacement exists on the reflecting surface based on physical optics method; Calculate the antenna's far-field and gain using radiation integral; The differential of antenna gain with respect to node displacement is calculated using the finite difference method, and the gain-node displacement relationship is obtained after normalization.

3. The method for partitioning the working region topology of a large-aperture mesh antenna reflector for a dual-target dual-target antenna that balances gain and grating lobe level, as described in claim 1, is characterized in that... The step S1, which determines the partitioning points based on the gain-node displacement relationship, includes: Find the radial maximum point of the gain-nodal displacement relationship; Based on the geometric relationship between the maximum point and the distribution curve of the gain-nodal displacement relationship, the coordinates of the dividing point located on the radial coordinate axis of the reflecting surface are determined.

4. The method for partitioning the working region topology of a large-aperture mesh antenna reflector for a dual-target dual-target antenna that balances gain and grating lobe level, as described in claim 1, is characterized in that... The S2 generation method generates a combination of ring number allocations that satisfies the central region and the edge region, including: The number of sub-rings in the central area and the number of sub-rings in the peripheral area are both integers, and their sum equals the total number of sub-rings.

5. The method for partitioning the working region topology of a large-aperture mesh antenna reflector for a dual-target dual-target antenna that balances gain and grating lobe level, as described in claim 1, is characterized in that... The predetermined cable length constraints in S33 include the total cable length constraint in the central region, the total cable length constraint in the edge region, and the single cable length constraints in both the central and edge regions.

6. The method for designing a partitioned topology of the working area of ​​a large-aperture mesh antenna reflector for a dual-target antenna that balances gain and grating lobe level, as described in claim 1, is characterized in that... The multi-objective optimization in S3 uses the NSGA-II algorithm.

7. The method for partitioning the working region topology of a large-aperture mesh antenna reflector for a dual-target dual-target antenna that balances gain and grating lobe level, as described in claim 1, is characterized in that... The antenna operating parameters in S1 include the aperture, focal length, feed pattern index, and operating frequency of the operating area.

8. A system for designing a partitioned topology of the reflector working area of ​​a large-aperture mesh antenna for dual targets, balancing gain and grating lobe level, characterized in that... include: The calculation module is used to calculate the gain-nodal displacement relationship of the reflector based on the antenna's operating parameters; The division points are determined based on the gain-nodal displacement relationship, and the working area of ​​the reflective surface is divided into a central area and an edge area based on the division points. The allocation module is used to determine the total number of sub-rings in the antenna's working area and generate a sub-ring allocation combination that satisfies the central area and the edge area based on the total number of sub-rings. The traversal module is used to traverse combinations of cyclic number allocation. For the currently traversed combination, the following sub-steps are executed: Based on the current ring number distribution combination, the central area and the edge area are initially divided into uniform grids, and the corresponding theoretical surface accuracy is calculated. Determine whether the theoretical surface accuracy is better than the preset theoretical surface accuracy requirement value; If so, proceed to the next step; If not, skip the next step and continue iterating through the next group of ring number distribution combinations; With the optimization objectives of maximizing the theoretical antenna gain and minimizing the antenna grating lobe level, and with the cable lengths of the central and edge regions as design variables, multi-objective optimization is performed under the condition of satisfying the predetermined cable length constraints to obtain the Pareto optimal solution corresponding to the current ring number allocation combination. The output module is used to obtain the Pareto optimal solution for all feasible combinations of ring number allocations, and to obtain the mechanical equilibrium of the globally optimal population and its corresponding topological combination.

9. A device for designing a partitioned topology for the working area of ​​a large-aperture mesh antenna reflector that balances gain and grating lobe level for dual targets, characterized in that... The device includes a processor and a memory, wherein the processor executes a computer program stored in the memory to implement the large-aperture mesh antenna reflector working area partitioning topology design method for a dual-target dual-target dual-target dual-target dual-target dual-target dual-target dual-target dual-target dual-target dual-target dual-target dual-topology design method as described in any one of claims 1 to 7.

10. A computer-readable storage medium, characterized in that, Used to store a computer program, wherein the computer program, when executed by a processor, implements the large-aperture mesh antenna reflector working area partitioning topology design method as described in any one of claims 1 to 7, which involves a tradeoff between gain and grating lobe level for dual targets.