Optimization design method, system and equipment for constellation system and medium
By establishing a reliability mathematical model to calculate the number of satellites for a satellite-level backup scheme, and optimizing the backup strategy of the constellation system, the problem of balancing cost and reliability in existing technologies is solved, and a constellation design with optimal cost and controllable risk is achieved.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-10-29
- Publication Date
- 2026-03-13
AI Technical Summary
Existing technologies lack precise and quantifiable engineering design methods, making it difficult to ensure that the overall reliability of a constellation system is superior to that of traditional single-satellite product-level backups by satellite-level backups and the number of additional satellites, while controlling costs.
By establishing a reliability mathematical model, the appropriate number of satellites required for a satellite-level backup scheme is calculated, and the total cost of satellite-level and product-level backup schemes is compared to optimize the backup strategy of the constellation system.
It enables precise decision-making, reduces the total cost of the constellation system throughout its lifecycle, ensures that system-level risks are within the expected targets, and provides a highly reliable and economical design solution.
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Figure CN121659523A_ABST
Abstract
Description
Technical Field This disclosure belongs to the field of constellation system optimization technology, and in particular relates to an optimization design method, system, device and medium for constellation systems. Background Technology
[0001] In recent years, the rise of low-Earth orbit mega-constellations has prompted satellite development to move towards mass production. The most prominent contradictions are high reliability requirements, short development cycles, and continuous cost reduction. In traditional satellite design, to ensure high reliability, product-level redundancy backup strategies (such as dual-machine hot backup) are generally adopted. Although this approach can improve the reliability of a single satellite, it also significantly increases the weight, complexity, development cycle, and cost per satellite (mainly including development and launch costs). For a single satellite, it is essential to add reasonable product-level backups to ensure reliability. However, in reality, backup products may not be fully utilized during their lifespan, resulting in a certain waste of resources. For satellite constellation systems, deploying a large number of low-cost satellites with consistent technical status can replace the redundancy of hardware products within individual satellites with constellation satellite redundancy, thereby achieving high reliability, cost savings, and improved economic efficiency at the system level. However, there is currently a lack of a precise and quantifiable engineering design method to address whether satellite-level backup and how many additional satellites can be added to ensure that the overall system reliability is superior to that of traditional satellite constellations with single-satellite product-level backup, while also reducing the overall cost. Existing designs mostly rely on engineering experience estimations and lack rigorous mathematical models and optimization processes, which may lead to decision-making errors, resulting in either excessive costs or insufficient reliability. Therefore, there is an urgent need for an innovative and quantitative design method to provide a scientific basis for the selection of satellite constellation architecture.
[0002] Therefore, by establishing a reliability mathematical model, accurately calculating the appropriate number of satellites required for the constellation satellite-level redundancy scheme to outperform the constellation satellite product-level redundancy scheme, and ensuring that under this condition, finding the optimal backup strategy for the satellite constellation system by comparing the total cost of the satellite-level backup scheme with the total cost of the product-level backup scheme is a feasible and preferred approach. Summary of the Invention
[0003] To address the aforementioned issues, this disclosure provides an optimization design method, system, device, and medium for constellation systems. By establishing a reliability mathematical model, it accurately calculates the appropriate number of satellites required for a constellation satellite-level backup scheme to outperform a constellation satellite product-level backup scheme. Under this condition, it ensures that the optimal backup strategy for the satellite constellation system is found by comparing the total cost of the satellite-level backup scheme with the total cost of the product-level backup scheme.
[0004] In a first aspect, this disclosure provides an optimization design method for constellation systems, the method comprising, Establish corresponding target reliability models for product-level backup solutions and satellite-level backup solutions, including satellite reliability models and constellation system reliability models, and obtain key target parameters; Input the target key parameters into the satellite reliability model corresponding to the product-level backup solution, and calculate the system reliability and total cost of the product-level backup solution. Input the target key parameters into the constellation system reliability model corresponding to the satellite-level backup scheme, and calculate the satellite-level backup scheme system reliability and the total cost of the satellite-level backup scheme based on the system reliability of the product-level backup scheme. Verify the reliability and cost advantages based on the total cost of the product-level backup solution and the total cost of the satellite-level backup solution, and output the target solution based on the verification results; In the product-level backup solution, each key product is hot-backed up. In the aforementioned satellite-level backup solution, stand-alone backups for each key product have been eliminated.
[0005] Furthermore, the system reliability and total cost of the product-level backup solution are calculated, specifically including: For each critical product in the product-level backup solution, obtain the corresponding single-machine reliability of the product-level backup solution. Calculate the single-star reliability of the product-level backup solution based on the single-machine reliability of the product-level backup solution for all critical products; The system reliability of the product-level backup scheme is calculated based on the single-satellite reliability and the target number of constellation satellites. The total cost of the product-level backup scheme is determined based on the target number, the average manufacturing cost per satellite corresponding to the product-level backup scheme, and the average launch cost per satellite corresponding to the product-level backup scheme. The key parameters of the target include the target quantity.
[0006] Furthermore, Based on the system reliability of the product-level backup solution, the system reliability and total cost of the satellite-level backup solution are calculated, specifically including: For each key product in the satellite-level backup scheme, obtain the corresponding single-machine reliability of the satellite-level backup scheme. Calculate the single-satellite reliability of the satellite-level backup scheme based on the single-machine reliability of all critical products. Based on the system reliability of the product-level backup solution, and according to the target number of satellites in the constellation, the system reliability of the satellite-level backup solution and the target number of satellites in the satellite-level backup solution are calculated. The total cost of the satellite-level backup scheme is determined based on the number of target satellites in the satellite-level backup scheme, the average manufacturing cost per satellite corresponding to the satellite-level backup scheme, and the average launch cost per satellite corresponding to the satellite-level backup scheme.
[0007] Furthermore, The system reliability of the satellite-level backup scheme and the target number of satellites in the satellite-level backup scheme are calculated based on the target number of satellites in the constellation, specifically including: The initial number of satellites in the satellite-level backup scheme is set according to the target number of satellites in the product-level backup scheme, and the initial satellite-level backup scheme system reliability under the initial number is calculated. The number of target satellites for the satellite-level backup scheme is determined based on the system reliability of the initial satellite-level backup scheme and the system reliability of the product-level backup scheme.
[0008] Furthermore, If the reliability of the initial satellite-level backup scheme is less than that of the product-level backup scheme, the initial number of constellation satellites in the satellite-level backup scheme is increased, and the actual reliability of the satellite-level backup scheme corresponding to the increase is repeatedly calculated until the actual reliability of the satellite-level backup scheme is greater than or equal to that of the product-level backup scheme. Then, the increase is stopped, and the target number of satellites for the satellite-level backup scheme is determined.
[0009] Furthermore, The reliability and cost advantages of the product-level backup solution and the satellite-level backup solution are verified based on their total costs, and a target solution is output based on the verification results, specifically including: If the total cost of the satellite-level backup solution is less than the total cost of the product-level backup solution, then the satellite-level backup solution is determined to be the target solution. If the total cost of the satellite-level backup solution is greater than or equal to the total cost of the product-level backup solution, then the product-level backup solution is determined to be the target solution.
[0010] Secondly, based on the same inventive concept, this disclosure provides an optimization design system for constellation systems, the system comprising: The model building and parameter acquisition module builds corresponding target reliability models for product-level backup solutions and satellite-level backup solutions, including satellite reliability models and constellation system reliability models, and acquires key target parameters. The product-level backup solution calculation module inputs the target key parameters into the satellite reliability model corresponding to the product-level backup solution, and calculates the system reliability and total cost of the product-level backup solution. Input the target key parameters into the constellation system reliability model corresponding to the satellite-level backup scheme, and calculate the satellite-level backup scheme system reliability and the total cost of the satellite-level backup scheme based on the system reliability of the product-level backup scheme. The solution comparison and decision output module verifies the reliability and cost advantages based on the total cost of the product-level backup solution and the total cost of the satellite-level backup solution, and outputs the target solution based on the verification results.
[0011] Thirdly, this disclosure also provides an electronic device, including at least one processor and at least one memory electrically connected; The memory is electrically connected to the processor, wherein the memory stores instructions that can be executed by at least one of the processors, the instructions being executed by at least one of the processors to enable at least one of the processors to perform any of the optimization design methods for constellation systems as described above.
[0012] Fourthly, this disclosure also provides a computer storage medium in which a computer program is stored; When the computer program is executed by the processor, it implements any of the optimization design methods for constellation systems described above.
[0013] Fifthly, this disclosure also provides a computer program product, which is stored in at least one storage medium; The computer program product includes several instructions for causing at least one electronic device to execute any of the optimization design methods for constellation systems as described above.
[0014] Compared with the prior art, this disclosure has the following advantages: 1. Precise decision-making: It provides a complete quantitative calculation process from reliability modeling to cost comparison, which can optimize constellation design schemes and provide effective decision-making methods for constellation backup strategies; 2. Cost reduction and efficiency improvement: Through scientific calculation, the most cost-effective architecture can be identified in the early stages of project demonstration, effectively avoiding resource waste caused by over-design or insufficient quantity, and significantly reducing the total cost of the system throughout its entire life cycle; 3. Controllable risk: Satellite-level backup solutions are essentially a risk diversification strategy. By adopting this strategy, reliability and availability assessments are conducted to ensure that system-level risks are strictly controlled within the expected targets. 4. High versatility: It can be widely used in the design and demonstration of most constellation systems such as communication, navigation, and remote sensing, and provides strong theoretical support for the design of highly reliable and low-cost satellites.
[0015] Other features and advantages of this disclosure will be set forth in the description which follows, and will be apparent in part from the description, or may be learned by practicing the disclosure. The objects and other advantages of this disclosure may be realized and obtained by means of the structures pointed out in the description, claims and drawings. Attached Figure Description
[0016] To more clearly illustrate the technical solutions in the embodiments of this disclosure or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this disclosure. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0017] Figure 1 A flowchart illustrating an optimization design method for a constellation system according to an embodiment of the present disclosure is shown. Figure 2 A schematic diagram of the single-star reliability of scheme A in this embodiment of the present disclosure is shown; Figure 3 A schematic diagram of the single-star reliability of scheme B in this embodiment is shown. Figure 4 A logic diagram of the constellation system optimization design in an embodiment of this disclosure is shown. Detailed Implementation
[0018] To make the objectives, technical solutions, and advantages of the embodiments of this disclosure clearer, the technical solutions of the embodiments of this disclosure will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this disclosure, and not all embodiments. Based on the embodiments of this disclosure, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this disclosure.
[0019] Figure 1 An optimization design method for a constellation system according to an embodiment of this disclosure is illustrated. For example... Figure 1 As shown in the figure, the optimization design method for constellation systems according to this disclosure includes the following steps: S1. Establish corresponding target reliability models for product-level backup solutions and satellite-level backup solutions, including satellite reliability models and constellation system reliability models, and obtain target key parameters; S2, input the target key parameters into the satellite reliability model corresponding to the product-level backup scheme, and calculate the system reliability and total cost of the product-level backup scheme. S3, input the target key parameters into the constellation system reliability model corresponding to the satellite-level backup scheme, and calculate the satellite-level backup scheme system reliability and the total cost of the satellite-level backup scheme based on the product-level backup scheme system reliability; S4. Verify the reliability and cost advantages based on the total cost of the product-level backup solution and the total cost of the satellite-level backup solution, and output the target solution based on the verification results.
[0020] Specifically, in this embodiment, In the product-level backup solution, each key product is hot-backed up. In the aforementioned satellite-level backup solution, stand-alone backups for each key product have been eliminated.
[0021] Specifically, the product-level backup scheme described in this embodiment is referred to as Scheme A; the satellite-level backup scheme is referred to as Scheme B.
[0022] like Figure 2 As shown, it is a block diagram of the single-satellite reliability of Scheme A, which specifically includes: treating all key products in the satellite as a series relationship, that is, the failure of one product will cause the entire satellite system to fail, and each key product is hot-backed up 1:1, that is, the backup product works in parallel with the main product; Figure 2 The reliability block diagram of Scheme A is shown, in which products 1~K are connected in parallel and then connected in series with product d to form the entire satellite system.
[0023] like Figure 3 As shown, it is a block diagram of the single-satellite reliability of Scheme B, which specifically includes: not backing up all critical products in the satellite, that is, each product works independently; Figure 3 The reliability block diagram of Scheme B is shown, in which products 1~K are connected in series, and then connected in series with product d to form the entire satellite system.
[0024] Specifically, the target key parameters mentioned in this embodiment include: R_unit: The reliability of the standalone machine or subsystem that needs to be backed up in Option A; R_d: Overall reliability of a standalone machine or subsystem without backup; N_A: The minimum number of constellation satellites for Plan A, i.e., the target number of constellation satellites for the product-level backup plan; K: Number of backup units included in a single satellite; C_a: Average manufacturing cost of a single satellite in Scheme A, i.e., average manufacturing cost of a single satellite corresponding to the product-level backup scheme; C_b: Average manufacturing cost of a single satellite in Scheme B, i.e., average manufacturing cost of a single satellite corresponding to the satellite-level backup scheme; L_a: Average cost of launching a single satellite in Scheme A, i.e., the average cost of launching a single satellite corresponding to the product-level backup scheme; L_b: Average launch cost per satellite for Scheme B, i.e., the average launch cost per satellite corresponding to the satellite-level backup scheme.
[0025] In the embodiments of this disclosure, step S2 specifically includes: S21, For each critical product in the product-level backup scheme, obtain the corresponding single-machine reliability of the product-level backup scheme; S22, Calculate the single-star reliability of the product-level backup solution based on the single-machine reliability of the product-level backup solution for all critical products; S23, Calculate the system reliability of the product-level backup scheme based on the single-star reliability of the product-level backup scheme and the target number of constellation satellites; S24. Determine the total cost of the product-level backup scheme based on the target quantity, the average manufacturing cost per satellite corresponding to the product-level backup scheme, and the average launch cost per satellite corresponding to the product-level backup scheme.
[0026] In the specific implementation process, Scheme A improves reliability by performing 1:1 hot backups on all K backup units. Assuming the reliability after backup is approximately 1 - (1 - R_unit)^2, the single-satellite reliability of Scheme A, i.e., the single-satellite reliability R_A of the product-level backup scheme, can be modeled as: R_A = [1 - (1 - R_unit1)^2]×[1 - (1 - R_unit2)^2]×…×[1 - (1 - R_unitK)^2]×R_d. In this embodiment, considering the reliability and availability of satellites, satellite failures in the constellation will affect availability. Each satellite can be considered as being in series. Therefore, the system reliability R_system_A of the product-level backup scheme is 1 - (1 - R_A)^N_A. In the specific implementation process, the cost calculation process of Scheme A is as follows: the total cost mainly includes the satellite manufacturing cost and the launch cost, namely the average manufacturing cost of a single satellite and the average launch cost of a single satellite of the product-level backup scheme. In this embodiment, other costs can be ignored compared with the above two schemes. Therefore, the total cost of Scheme A, that is, the total cost of the product-level backup scheme, Cost_A, is: Cost_A = N_A × C_a + N_A × L_a.
[0027] In the embodiments of this disclosure, step S3 specifically includes: S31, For each key product in the satellite-level backup scheme, obtain the corresponding single-machine reliability of the satellite-level backup scheme; S32, Calculate the single-satellite reliability of the satellite-level backup scheme based on the single-machine reliability of the satellite-level backup scheme for all critical products; S33, Based on the system reliability of the product-level backup solution, and according to the target number of satellites in the constellation, calculate the system reliability of the satellite-level backup solution and the target number of satellites in the satellite-level backup solution; S34. Determine the total cost of the satellite-level backup scheme based on the number of target satellites in the satellite-level backup scheme, the average manufacturing cost per satellite in the satellite-level backup scheme, and the average launch cost per satellite in the satellite-level backup scheme.
[0028] In the embodiments of this disclosure, step S33 specifically includes: S331, Set the initial number of constellation satellites for the satellite-level backup scheme according to the target number of constellation satellites for the product-level backup scheme, and calculate the initial satellite-level backup scheme system reliability under the initial number; S332, determine the target number of satellites for the satellite-level backup scheme based on the system reliability of the initial satellite-level backup scheme and the system reliability of the product-level backup scheme.
[0029] In the embodiments of this disclosure, step S332 specifically includes: If the reliability of the initial satellite-level backup scheme is less than that of the product-level backup scheme, the initial number of constellation satellites in the satellite-level backup scheme is increased, and the actual reliability of the satellite-level backup scheme corresponding to the increase is repeatedly calculated until the actual reliability of the satellite-level backup scheme is greater than or equal to that of the product-level backup scheme. Then, the increase is stopped, and the target number of satellites for the satellite-level backup scheme is determined.
[0030] In the specific implementation process, Scheme B cancels all single-unit backups. The single-star reliability R_B of its satellite-level backup scheme is the reliability of the entire critical single-unit serial system: R_B = (R_unit1)× (R_unit2)×…×(R_unitK)×R_d. Scheme B needs to increase the number of satellites in Scheme A from N_A to the target number of N_B satellites in the satellite-level backup scheme to form a constellation. However, it is necessary to ensure that at least N_A satellites are available in order to ensure the availability and reliability of the constellation. The constellation system reliability model of Scheme B can be regarded as a voting model of N_B to N_A. The reliability of the constellation system in Scheme B, i.e., the reliability of the satellite-level backup scheme system: R_system_B = ; Where, i is an integer taken from N_A to N_B; R_Bi is the i-th power of R_B; The calculation process of the total cost of the satellite-level backup scheme is as follows: The single-satellite cost of Scheme B is close to the basic cost due to its simplified design, and its total cost, that is, the total cost Cost_B of the satellite-level backup scheme, is: Cost_B = N_B × C_b + N_B×L_b.
[0031] In the specific implementation process, calculating the satellite-level target quantity N_B that meets the reliability requirements, that is, the target satellite quantity of the satellite-level backup scheme, to make the system reliability of Scheme B better than or equal to the single-satellite reliability of Scheme A, it is necessary to meet: R_system_B >= R_system_A, that is: First calculate R_system_A = 1 - (1 - R_A)^N_A. N_B must be at least more than N_A to make R_system_B >= R_system_A possible. Determine the satellite quantity N_B of Scheme B by trial, and take an integer greater than N_A to calculate R_system_B = ; Make R_system_B >= R_system_A. At this time, compare whether the total cost of Scheme B is better than that of Scheme A.
[0032] In the embodiment of the present disclosure, step S4 specifically includes: Verify the cost advantage and output the scheme. Calculate the total cost of Scheme B when deploying N_B satellites: Cost_B = N_B × C_b + N_B × L_b and compare it with Cost_A: If Cost_B (N_B) < Cost_A(N_A) holds, then it is determined that Scheme B is the optimal scheme, which realizes the reduction of the total cost on the premise of meeting the reliability better than Scheme A; If Cost_B (N_B) >= Cost_A(N_A), then Scheme A has more cost advantages, and it is necessary to further optimize the scheme and refine the parameters for re-evaluation.
[0033] Such as Figure 4 shown, it is the logic diagram of the constellation system optimization design. Specifically, a specific embodiment is provided, which specifically includes: For a certain communication low-earth-orbit satellite constellation, at least 20 satellites need to be in normal operation in orbit to ensure the system availability. Determine whether there is a satellite-level backup scheme that is better than the traditional single-satellite product backup scheme, which can ensure both the system reliability and reduce the cost. The specific judgment process is as follows: S1, establish a reliability model and input the target key parameters; Assume that the target key parameters of a certain system are as follows: R_unit = 0.9 (Reliability of a single machine or subsystem that needs to be backed up in Plan A); R_d = 0.9 (Total reliability of a single machine or subsystem without backup); K = 2 (There are 2 main backup single machines on the satellite); N_A = 20 (Minimum number of satellites in the constellation of Plan A); C_a = 0.30 billion (Average manufacturing cost of a single satellite in Plan A); C_b = 0.24 billion (Average manufacturing cost of a single satellite in Plan B); L_a = 0.1 billion (Average launch cost of a single satellite in Plan A); L_B = 0.095 billion (Average launch cost of a single satellite in Plan B); S2, Calculation for Plan A: R_A = [1 - (1 – 0.9)^2] ×[1 - (1 – 0.9)^2]× 0.9≈ 0.882 R_system_A = 1 - (1 – 0.882)^20 = 0.0813 Cost_A = 20 × 0.3 + 20×0.1 = 800 million yuan; S3, Find the number of satellites N_B for Plan B; Based on the number of satellites in Plan A, increase the number of satellites in Plan B so that the reliability of Plan B is better than that of Plan A; Since N_A = 20, by trying different integer values greater than 20, the following results can be obtained through calculation: When N_B = 22, R_B = 0.729, R_system_B = 0.039 < R_system_A (Reliability and availability do not meet the requirements); When N_B = 23, R_system_B = 0.0940 > R_system_A = 0.0813; Then the minimum value of N_B can be 23, and the reliability and availability meet the requirements; S4: Cost calculation and economic verification for Plan B; When N_B = 23, calculate the total cost of Plan B Cost_B(23) = 23 × 0.24 + 23×0.095 = 770.5 million yuan < Cost_A = 800 million yuan, That is, when N_B = 23, the cost of Plan B is also less than that of Plan A, and Plan B is the preferred plan; When N_B = 24, calculate the total cost of Plan B: Cost_B(24) = 24 × 0.24 + 24 × 0.095 = 804 million yuan > Cost_A = 800 million yuan. That is, when N_B=24, the cost of option B is greater than that of option A, and option B is uneconomical.
[0034] S5: Conclusion: In this specific embodiment, scheme B is superior to scheme A only when N_B=23.
[0035] This embodiment demonstrates that the number of satellites can be increased by reducing single-satellite redundancy, and a solution with optimal reliability and cost can be found. When the input parameters are different, there may be a suitable solution B, or solution A may be more suitable. In the case of mass production and mass launch of satellites, the R&D cost and launch cost are greatly reduced. In this case, solution B may be a better choice. Otherwise, solution A may be more economical. The case proves the effectiveness of the optimization design method for constellation systems.
[0036] Based on the same inventive concept, this disclosure also provides an optimization design system for constellation systems corresponding to the above-described method, comprising: The model building and parameter acquisition module builds corresponding target reliability models for product-level backup solutions and satellite-level backup solutions, including satellite reliability models and constellation system reliability models, and acquires key target parameters. The product-level backup solution calculation module inputs the target key parameters into the satellite reliability model corresponding to the product-level backup solution, and calculates the system reliability and total cost of the product-level backup solution. Input the target key parameters into the constellation system reliability model corresponding to the satellite-level backup scheme, and calculate the satellite-level backup scheme system reliability and the total cost of the satellite-level backup scheme based on the system reliability of the product-level backup scheme. The solution comparison and decision output module verifies the reliability and cost advantages based on the total cost of the product-level backup solution and the total cost of the satellite-level backup solution, and outputs the target solution based on the verification results.
[0037] Based on the same inventive concept, this disclosure also provides an electronic device. The electronic device of this disclosure includes at least one processor and at least one memory electrically connected to the processor, wherein the memory stores instructions executable by the at least one processor, the instructions being executed by the at least one processor to enable the at least one processor to perform an optimization design method for a constellation system as described above.
[0038] It should be noted that the electrical connections between the various units mentioned above do not necessarily represent the connections between lines. Any indirect connection method can be applied to the embodiments of this disclosure as long as it achieves the purpose of this disclosure.
[0039] Based on the same inventive concept, this disclosure also provides a computer storage medium storing a computer program that, when executed by a processor, implements an optimization design method for a constellation system as described above.
[0040] Based on the same inventive concept, this disclosure also provides a computer program product stored in at least one storage medium; the computer program product includes several instructions to cause at least one computer device to execute the optimization design method for constellation systems as described above.
[0041] Although the present disclosure has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present disclosure.
Claims
1. An optimization design method for constellation systems, characterized in that, The method includes: Establish corresponding target reliability models for product-level backup solutions and satellite-level backup solutions, including satellite reliability models and constellation system reliability models, and obtain key target parameters; Input the target key parameters into the satellite reliability model corresponding to the product-level backup solution, and calculate the system reliability and total cost of the product-level backup solution. Input the target key parameters into the constellation system reliability model corresponding to the satellite-level backup scheme, and calculate the satellite-level backup scheme system reliability and the total cost of the satellite-level backup scheme based on the system reliability of the product-level backup scheme. Verify the reliability and cost advantages based on the total cost of the product-level backup solution and the total cost of the satellite-level backup solution, and output the target solution based on the verification results; In the product-level backup solution, each key product is hot-backed up. In the aforementioned satellite-level backup solution, stand-alone backups for each key product have been eliminated.
2. The method according to claim 1, characterized in that, Calculate the system reliability and total cost of the product-level backup solution, specifically including: For each critical product in the product-level backup solution, obtain the corresponding single-machine reliability of the product-level backup solution. Calculate the single-star reliability of the product-level backup solution based on the single-machine reliability of the product-level backup solution for all critical products; The system reliability of the product-level backup scheme is calculated based on the single-satellite reliability and the target number of constellation satellites. The total cost of the product-level backup scheme is determined based on the target number, the average manufacturing cost per satellite corresponding to the product-level backup scheme, and the average launch cost per satellite corresponding to the product-level backup scheme. The key parameters of the target include the target quantity.
3. The method according to claim 2, characterized in that, Based on the system reliability of the product-level backup solution, the system reliability and total cost of the satellite-level backup solution are calculated, specifically including: For each key product in the satellite-level backup scheme, obtain the corresponding single-machine reliability of the satellite-level backup scheme. Calculate the single-satellite reliability of the satellite-level backup scheme based on the single-machine reliability of all critical products. Based on the system reliability of the product-level backup solution, and according to the target number of satellites in the constellation, the system reliability of the satellite-level backup solution and the target number of satellites in the satellite-level backup solution are calculated. The total cost of the satellite-level backup scheme is determined based on the number of target satellites in the satellite-level backup scheme, the average manufacturing cost per satellite corresponding to the satellite-level backup scheme, and the average launch cost per satellite corresponding to the satellite-level backup scheme.
4. The method according to claim 3, characterized in that, The system reliability of the satellite-level backup scheme and the target number of satellites in the satellite-level backup scheme are calculated based on the target number of satellites in the constellation, specifically including: The initial number of satellites in the satellite-level backup scheme is set according to the target number of satellites in the product-level backup scheme, and the initial satellite-level backup scheme system reliability under the initial number is calculated. The number of target satellites for the satellite-level backup scheme is determined based on the system reliability of the initial satellite-level backup scheme and the system reliability of the product-level backup scheme.
5. The method according to claim 4, characterized in that, If the reliability of the initial satellite-level backup scheme is less than that of the product-level backup scheme, the initial number of constellation satellites in the satellite-level backup scheme is increased, and the actual reliability of the satellite-level backup scheme corresponding to the increase is repeatedly calculated until the actual reliability of the satellite-level backup scheme is greater than or equal to that of the product-level backup scheme. Then, the increase is stopped, and the target number of satellites for the satellite-level backup scheme is determined.
6. The method according to claim 5, characterized in that, The reliability and cost advantages of the product-level backup solution and the satellite-level backup solution are verified based on their total costs, and a target solution is output based on the verification results, specifically including: If the total cost of the satellite-level backup solution is less than the total cost of the product-level backup solution, then the satellite-level backup solution is determined to be the target solution. If the total cost of the satellite-level backup solution is greater than or equal to the total cost of the product-level backup solution, then the product-level backup solution is determined to be the target solution.
7. An optimization design system for constellation systems, characterized in that, The system includes: The model building and parameter acquisition module builds corresponding target reliability models for product-level backup solutions and satellite-level backup solutions, including satellite reliability models and constellation system reliability models, and acquires key target parameters. The product-level backup solution calculation module inputs the target key parameters into the satellite reliability model corresponding to the product-level backup solution, and calculates the system reliability and total cost of the product-level backup solution. Input the target key parameters into the constellation system reliability model corresponding to the satellite-level backup scheme, and calculate the satellite-level backup scheme system reliability and the total cost of the satellite-level backup scheme based on the system reliability of the product-level backup scheme. The solution comparison and decision output module verifies the reliability and cost advantages based on the total cost of the product-level backup solution and the total cost of the satellite-level backup solution, and outputs the target solution based on the verification results.
8. An electronic device, characterized in that, Includes at least one processor and at least one memory electrically connected; The memory is electrically connected to the processor, wherein the memory stores instructions executable by at least one of the processors, the instructions being executed by at least one of the processors to enable at least one of the processors to perform an optimization design method for a constellation system as described in any one of claims 1-6.
9. A computer storage medium, characterized in that, The computer-readable storage medium stores a computer program. When the computer program is executed by the processor, it implements the optimization design method for constellation systems as described in any one of claims 1-6.
10. A computer program product, characterized in that, The computer program product is stored in at least one storage medium; The computer program product includes several instructions for causing at least one electronic device to execute the optimization design method for a constellation system as described in any one of claims 1-6.