A method for designing a multi-objective integrated concentrator structure of a space solar power plant
By optimizing the concentrator structure through a multi-objective integrated design method, the stability issues of the concentrator under mechanical and thermal loads were resolved, achieving a balance between thermal management and mechanical stability, suppressing thermal deformation and reducing temperature.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- XIDIAN UNIV
- Filing Date
- 2026-04-27
- Publication Date
- 2026-07-31
AI Technical Summary
Concentrators in space-based solar power plants need to cope with both mechanical and thermal loads during service. Existing technologies struggle to effectively suppress thermal deformation and keep photovoltaic cell temperatures within their operating range.
A multi-objective integrated concentrator structure is designed by dividing the concentrator model into multiple units, analyzing the mechanical, thermal, dimensional and volume constraint sensitivity of each unit, updating the physical density to optimize the topology, and using a multi-objective optimization model to optimize the physical density to suppress thermal deformation and reduce temperature.
It effectively suppressed thermal deformation, reduced the average temperature of the structure, and achieved efficient thermal management and mechanical stability of the concentrator in a complex thermo-mechanical coupling environment.
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Figure CN122490779A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of space solar energy, specifically relating to a multi-objective integrated concentrator structure design method for space solar power stations. Background Technology
[0002] Space solar power stations (SSPS) represent the forefront of sustainable energy and are crucial for ensuring long-term space missions and terrestrial power supply. Among various alternative space solar energy harvesting systems, concentrated photovoltaic (CPV) systems have attracted widespread attention due to their ability to focus low-density solar radiation onto high-efficiency photovoltaic cells, achieving on-orbit energy capture and conversion. However, during service, the concentrator must withstand not only the mechanical loads during launch and on-orbit operation but also the thermal loads caused by solar radiation and internal heat sources. In this complex thermo-coupling environment, concentrator design faces two major challenges: firstly, minimizing mechanical deformation of the concentrator surface to maintain surface accuracy; and secondly, achieving efficient thermal management to keep the photovoltaic cell temperature within its operating range. Summary of the Invention
[0003] To address the aforementioned problems in the existing technology, this invention provides a multi-objective integrated concentrator structure design method for space solar power plants.
[0004] The technical problem to be solved by this invention is achieved through the following technical solution: In a first aspect, the present invention provides a method for designing a multi-objective integrated concentrator structure for a space solar power station, comprising: Design a concentrator model and divide the concentrator model into multiple units; Analyze the mechanical target sensitivity, thermal target sensitivity, size constraint sensitivity, and volume constraint sensitivity corresponding to each of the aforementioned units; The physical density of the concentrator model is updated based on the mechanical target sensitivity, the thermal target sensitivity, the size constraint sensitivity, and the volume constraint sensitivity. The optimal physical density of the concentrator model is determined based on the objective function, thereby obtaining the concentrator topology.
[0005] In one embodiment, analyzing the mechanical target sensitivity corresponding to each of the units includes: Steady-state heat transfer analysis is performed on the concentrator model to determine the temperature field of each unit; and thermoelastic analysis is performed on the concentrator model to determine the displacement field of each unit. Calculate the strain energy of the region based on the temperature field and the displacement field; The mechanical target sensitivity is obtained by calculating the derivative of the strain energy of the region with respect to the physical density of the element.
[0006] In one embodiment, analyzing the thermal target sensitivity corresponding to each of the units includes: Calculate the thermal compliance function value based on the temperature field; The thermal target sensitivity is obtained by calculating the derivative of the thermal compliance function value with respect to the physical density of the unit.
[0007] In one embodiment, analyzing the size constraint sensitivity corresponding to each of the units includes: Construct a maximum stiffening size constraint function based on the physical density of all elements; The dimensional constraint sensitivity is obtained by calculating the derivative of the maximum stiffening size constraint function with respect to the physical density of the element.
[0008] In one embodiment, analyzing the volume constraint sensitivity corresponding to each of the units includes: Construct a volume constraint function based on the physical density of all elements; The volume constraint sensitivity is obtained by calculating the derivative of the volume constraint function with respect to the physical density of the unit.
[0009] In one embodiment, the strain energy of the region is calculated using formula (1): Formula (1); in, Represents the regional strain energy. This represents the nodal displacement vector of the concentrator mirror region. express transpose, This represents the stiffness matrix of the concentrator mirror region. This indicates the thermo-mechanical load in the concentrator mirror region. This indicates the temperature rise relative to a reference temperature. express transpose, This represents the Young's modulus of the condenser mirror region. This represents the constitutive matrix when Young's modulus is 1. This indicates the volume of the concentrator's reflector region; The thermal compliance function value is calculated using formula (2): Formula (2); in, Represents the thermal compliance function value. This represents the temperature vector of the nodes in the concentrator mirror region. express transpose, This represents the thermal conductivity stiffness matrix of the concentrator mirror region.
[0010] In one embodiment, the maximum stiffening size constraint function is constructed using formula (3): Formula (3); in, This represents the constraint function for the maximum stiffening size. Indicates the number of units, P represents the density ratio of the e-th unit, and This is the default value; Construct the volume constraint function using formula (4): Formula (4); in, Represents the volume constraint function. This represents the physical density of the e-th unit. Let represent the volume of the e-th unit, and fupper represent the maximum allowed volume fraction. This represents the total volume of the entire design domain.
[0011] In one embodiment, the objective function is determined based on the regional strain energy and the thermal compliance function value; the objective function is: ; in, Objective function value, The physical density is The corresponding regional strain energy at that time, The physical density is The corresponding thermal flexibility function value, The physical density is The corresponding initial region strain energy at that time, The physical density is The corresponding initial thermal compliance function value at that time, Indicates the weight.
[0012] Secondly, the present invention provides an electronic device, comprising: a processor, a communication interface, a memory, and a communication bus, wherein the processor, the communication interface, and the memory communicate with each other via the communication bus. Memory, used to store computer programs; When the processor executes the program stored in the memory, it implements the steps of any of the above-mentioned multi-objective integrated concentrator structure design methods for space solar power plants.
[0013] Thirdly, the present invention provides a computer program product containing instructions that, when run on a computer, causes the computer to execute the steps of any of the above-described methods for designing the multi-objective integrated concentrator structure of a space solar power station.
[0014] This invention provides a multi-objective integrated concentrator structure design method for space solar power stations, comprising: designing a concentrator model and dividing the concentrator model into multiple units; analyzing the mechanical objective sensitivity, thermal objective sensitivity, dimensional constraint sensitivity, and volume constraint sensitivity corresponding to each unit; updating the physical density of the concentrator model based on the mechanical objective sensitivity, the thermal objective sensitivity, the dimensional constraint sensitivity, and the volume constraint sensitivity; and determining the optimal physical density of the concentrator model based on an objective function, thereby obtaining the concentrator topology. The method of this invention updates the physical density through multiple aspects including mechanics, heat, size, and volume, which can effectively suppress thermally induced deformation and reduce the average temperature of the structure.
[0015] The present invention will now be described in further detail with reference to the accompanying drawings. Attached Figure Description
[0016] Figure 1 A flowchart illustrating a multi-objective integrated concentrator structure design method for a space solar power station according to an embodiment of the present invention; Figure 2 This is a schematic diagram of a concentrator; Figure 3 This is a schematic diagram illustrating the iterative evolution process of the objective function and volume fraction. Figure 4 The diagram illustrates the iterative evolution of the objective function and volume fraction when the weighting factor is 0.4. Figure 5 This is a schematic diagram of the structure of the electronic device provided in an embodiment of the present invention. Detailed Implementation
[0017] The present invention will be further described in detail below with reference to specific embodiments, but the implementation of the present invention is not limited thereto.
[0018] To address the aforementioned problems, embodiments of the present invention provide a multi-objective integrated concentrator structure design method for space solar power stations, specifically combined with... Figure 1 ,include: Step S1: Design a concentrator model and divide the concentrator model into multiple units.
[0019] This application uses a spherical concentrator as an example to design a spherical concentrator model. To avoid multiple reflections of incident light inside the concentrator, the concentrator opening angle is 120 degrees. The top circular diameter of the spherical concentrator is R, the bottom circular diameter is r, and the overall thickness is TH. The concentrator consists of a reflector and a supporting structure. The non-design area is the reflector, with a thickness of TH1, and the supporting structure has a thickness of TH2, with the total thickness of both being TH. During service, the bottom of the concentrator is fixed to a platform, and heat is generated by the photovoltaic cells and conducted from the bottom of the concentrator to the top. After obtaining the structural parameters of the concentrator, it is discretized into Ne hexahedral elements, with the initial physical density of each element being 1. Since the physical density of the elements fluctuates between [0~1] during topology optimization, their material properties (Young's modulus and thermal stress coefficient) will also change accordingly. Therefore, for density-based topology optimization methods, the material properties can be obtained by penalizing the physical density of the elements through an interpolation function. Specifically, based on the corrected and reasonably approximate material interpolation function, the penalized element Young's modulus and thermal stress coefficient are: ; in, Represents physical density The corresponding Young's modulus at that time, Represents physical density The corresponding thermal stress coefficients, E0 and physical density Young's modulus and coefficient of thermal expansion when E is 1 min S represents the minimum elasticity model. M and P M This is the penalty factor for the interpolation function. This represents the inherent original coefficient of thermal expansion of the material. In one specific embodiment, S M The value is 32, P M The value is 2, E min The value is 10 -6 E0.
[0020] Furthermore, to ensure the consistency of the concentrator stiffening structure in the thickness direction, an anisotropic Helmholtz filter is used to filter the unit density, obtaining the filtered density unit by unit. The formula is as follows: ; in, ρ * and H are respectively derived from the element density vector ρ* e It is assembled from He. The transformation matrices L and L* are respectively processed through the unit vectors. L e and L * e Calculated. Specifically, ; in, N and Ω e Representing the unitary function and the first e The integration region of each unit.
[0021] After unit assembly, the transformation matrix L vector ρ * Mapped to node vectors Lρ * Next, the transformation matrix L * vector H -1 Lρ * Mapped to density after unit-by-unit filtering Then, through the anisotropic tensor c Perform anisotropic Helmholtz filtering, specifically as follows: ; in, Λ It is a 3×3 positive definite tensor used to determine the filtration direction, that is, to ensure the consistency of thickness in the filtration direction. λ n , λ t1 and λ t2 These are spatial basis vectors in the Cartesian coordinate system, and their corresponding filtering radii are ( r n , r t1 , r t2 ).
[0022] Step S2: Analyze the mechanical target sensitivity, thermal target sensitivity, dimensional constraint sensitivity, and volume constraint sensitivity corresponding to each of the aforementioned units.
[0023] A concentrator model was designed using the above process, and then divided into multiple units. The mechanical target sensitivity, thermal target sensitivity, dimensional constraint sensitivity, and volume constraint sensitivity of each unit were analyzed.
[0024] In one embodiment, a steady-state heat transfer analysis is performed on the concentrator model to determine the temperature field of each unit. Specifically, the temperature field calculation formula is as follows: ;in, K th Represents the global thermal stiffness matrix. ρ This represents the physical density of the design, with a value ranging from [0-1]. T Represents the temperature field of the structure.Q This represents the thermal load vector.
[0025] A thermoelastic analysis was performed on the concentrator model to determine the displacement field of each unit. Specifically, the formula for calculating the displacement field is: ;in, K Represents the global stiffness matrix. U Represents the displacement field of the structure. F This represents the global force load vector, which includes mechanical loads and thermo-mechanical loads.
[0026] The strain energy of the region is calculated based on the temperature field and the displacement field. Specifically, the strain energy of the region is calculated using formula (1): Formula (1); in, Represents the regional strain energy. This represents the nodal displacement vector of the concentrator mirror region. express transpose, This represents the stiffness matrix of the concentrator mirror region. This indicates the thermo-mechanical load in the concentrator mirror region. This indicates the temperature rise relative to a reference temperature. express transpose, This represents the Young's modulus of the condenser mirror region. This represents the constitutive matrix when Young's modulus is 1. This indicates the volume of the concentrator's reflector region.
[0027] The derivative of the regional strain energy with respect to the physical density of the element is further calculated to obtain the mechanical target sensitivity. Specifically, it is expressed as: ; in, λ and μ These are the accompanying variables, express λ transpose, express μ The transpose, specifically... λ and μ They are respectively:
[0028] .
[0029] Further analysis of the thermal target sensitivity corresponding to each unit specifically includes: calculating the thermal compliance function value based on the temperature field. In one embodiment, the thermal compliance function value is calculated using formula (2): Formula (2); in, Represents the thermal compliance function value. This represents the temperature vector of the nodes in the concentrator mirror region. express transpose, This represents the thermal conductivity stiffness matrix of the concentrator mirror region.
[0030] The thermal target sensitivity is obtained by calculating the derivative of the thermal compliance function value with respect to the physical density of the unit. Specifically, it is expressed as: ,in, Represents the temperature field Transpose.
[0031] The analysis of the dimensional constraint sensitivity corresponding to each element includes: constructing a maximum stiffening dimensional constraint function based on the physical density of all elements. Specifically, the maximum stiffening dimensional constraint function is constructed using formula (3): Formula (3); in, This represents the constraint function for the maximum stiffening size. Indicates the number of units, P represents the density ratio of the e-th unit, and This is the default value.
[0032] The dimensional constraint sensitivity is obtained by calculating the derivative of the maximum stiffening size constraint function with respect to the physical density of the element. Specifically, it is expressed as: .
[0033] The volume constraint sensitivity of each element is analyzed, including: constructing a volume constraint function based on the physical density of all elements. Specifically, the volume constraint function is constructed using formula (4): Formula (4); in, Represents the volume constraint function. This represents the physical density of the e-th unit. Let represent the volume of the e-th unit, and fupper represent the maximum allowed volume fraction. This represents the total volume of the entire design domain.
[0034] The volume constraint sensitivity is obtained by calculating the derivative of the volume constraint function with respect to the physical density of the element. Specifically, it is expressed as: .
[0035] Step S3: Update the physical density of the concentrator model based on the mechanical target sensitivity, the thermal target sensitivity, the size constraint sensitivity, and the volume constraint sensitivity.
[0036] The mechanical target sensitivity, thermal target sensitivity, size constraint sensitivity, and volume constraint sensitivity are obtained through the above steps. The physical density of the concentrator model is then updated based on these three sensitivityes.
[0037] Step S4: Determine the optimal physical density of the concentrator model based on the objective function, thereby obtaining the concentrator topology.
[0038] In one embodiment, the objective function is determined based on the regional strain energy and the thermal compliance function value. Specifically, the objective function is: ; in, Objective function value, The physical density is The corresponding regional strain energy at that time, The physical density is The corresponding thermal flexibility function value, The physical density is The corresponding initial region strain energy at that time, The physical density is The corresponding initial thermal compliance function value at that time, This represents the weight, with a value ranging from [0 to 1].
[0039] In one specific embodiment, the objective function is solved using the following constraints to obtain the optimal physical density. The constraints include: ① F m F represents the external mechanical load. th Indicates thermally induced mechanical load; ② ; ③ ; ④ ; ⑤ .
[0040] The method of this application first performs steady-state heat transfer analysis and thermoelastic analysis on the discretized concentrator with a unit physical density of 1 to obtain the temperature field and displacement field information of the concentrator. Second, it calculates the region strain energy and thermal compliance function values, as well as the maximum stiffening size constraint function value and volume fraction constraint function value of the concentrator. Next, it calculates the derivatives of the region strain energy and thermal compliance objective function with respect to the unit physical density, as well as the derivatives of the maximum stiffening size constraint function and volume fraction constraint function with respect to the unit physical density. Based on the established multi-objective optimization model, it updates the unit physical density values of the concentrator structure to obtain the optimal physical density value. Finally, it checks whether the maximum number of iterations has been reached; if so, it exits the loop and outputs the concentrator topology that meets the performance requirements.
[0041] This invention first constructs the topology of a concentrator based on a density-based topology optimization method. Second, it uses steady-state heat transfer analysis and thermoelastic analysis to obtain the temperature field and displacement field information of the concentrator structure. Third, it establishes a multi-objective optimization model with the goal of minimizing the combination of strain energy and thermal flexibility in the concentrator region, and updates the unit physical density of the concentrator through a gradient optimizer. Finally, it obtains the Pareto front curve that meets the performance requirements, which represents the optimal concentrator topology configuration under different weighting factors.
[0042] Simulations are performed based on the method described in this application: Simulation parameters: Concentrator radius R = 200mm, total thickness 5mm. The thicknesses of the reflector and stiffening structure are 1mm and 4mm respectively, as shown below. Figure 1 As shown. Both the reflector and the stiffening structure are made of 2018 aluminum alloy, with material properties that are approximately constant: Young's modulus E = 71.7 GPa, Poisson's ratio ν = 0.33, density ρ = 2700 kg / m³, coefficient of thermal expansion α = 23.6 × 10⁻⁶ / ℃, thermal conductivity 130 W / (m·℃), and a maximum allowable volume fraction of 0.6. The reflector is subjected to a uniformly distributed pressure load of 0.2 MPa, with a heat flux of 45 mW / mm². Furthermore, the bottom of the concentrator is fixedly constrained, and the heat flux is conducted from the bottom to the top of the concentrator. Except for the bottom boundary, all other boundaries are adiabatic boundaries, such as... Figure 2 As shown.
[0043] First, using the algorithm established by this invention, the Pareto front curve is output when the number of iterations reaches its maximum, as shown below. Figure 3As shown, when the weighting factor is 1, the optimization process is mainly dominated by mechanical properties, and the resulting topology is characterized by its circumferential annular stiffeners. As the weighting factor decreases, thermal properties gradually become dominant. The circumferential stiffeners gradually weaken, while the radial stiffeners become prominent and stronger. This structural transformation reflects the necessity of establishing an efficient heat conduction path that matches the temperature gradient, thereby promoting the transfer of heat from the heat source to the top isothermal boundary. Finally, when the weighting factor is 0, the optimal configuration exhibits a radially dominant characteristic, corresponding to a heat-driven design. The smooth and continuous evolution of the topology along the Pareto front indicates that this invention can effectively balance mechanical stiffness and thermal regulation performance.
[0044] Furthermore, Table (1) summarizes the maximum displacement and average temperature corresponding to the optimal topology obtained under different weighting factors. To further verify the convergence of the results of this invention, Figure 4 The iterative evolution of the objective function and volume fraction is shown when the weighting factor is 0.4. The dramatic fluctuations in the objective function value and volume fraction during the middle of the iteration are normal phenomena caused by changes in filter parameters and do not affect the convergence of the optimal concentrator structure.
[0045]
[0046] Table (1) Maximum deformation and average temperature of the concentrator structure under different weighting factors It is noteworthy that the volume fraction did not ultimately converge to the preset maximum allowable volume fraction, but remained below this constraint value. This phenomenon indicates that under thermo-mechanical coupling conditions, the topology found by the optimizer has reached a state where further increases in material usage will not lead to further performance improvements. When thermal expansion dominates, increasing the material volume can improve structural stiffness, but it also exacerbates thermoelastic expansion due to increased heat accumulation. Therefore, the final structural response actually reflects the result of a trade-off between stiffness gain and thermally induced deformation. In such scenarios, the optimizer tends to moderately reduce the material usage, thereby deriving a convergent solution with a final material usage below the allowable upper limit. This demonstrates that the framework proposed in this invention can obtain a concentrator stiffened structure that balances skin stiffness and thermal conductivity under different weighting factors. This adaptive structural evolution process shows that the method proposed in this invention can generate a stiffened layout that is both mechanically and thermally sound under different load conditions, thereby effectively suppressing thermally induced deformation and reducing the average temperature of the structure.
[0047] Based on the same inventive concept, embodiments of the present invention also provide an electronic device. Embodiments of the present invention also provide an electronic device, such as... Figure 5As shown, it includes a processor 601, a communication interface 602, a memory 603, and a communication bus 604, wherein the processor 601, the communication interface 602, and the memory 603 communicate with each other through the communication bus 604. Memory 603 is used to store computer programs; When the processor 601 executes the program stored in the memory 603, it implements the steps of the above-described wireless communication signal strength screening method based on phototactic characteristics.
[0048] The communication bus mentioned in the above electronic devices can be a Peripheral Component Interconnect (PCI) bus or an Extended Industry Standard Architecture (EISA) bus, etc. This communication bus can be divided into address bus, data bus, control bus, etc. For ease of representation, only one thick line is used in the diagram, but this does not indicate that there is only one bus or one type of bus.
[0049] The communication interface is used for communication between the aforementioned electronic devices and other devices.
[0050] The memory may include random access memory (RAM) or non-volatile memory (NVM), such as at least one disk storage device. Optionally, the memory may also be at least one storage device located remotely from the aforementioned processor.
[0051] The processors mentioned above can be general-purpose processors, including central processing units (CPUs), network processors (NPs), etc.; they can also be digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, or discrete hardware components.
[0052] The present invention also provides a computer-readable storage medium. A computer program is stored in the computer-readable storage medium, and when executed by a processor, the computer program implements the steps of the above-described method for screening wireless communication signal strength based on phototactic characteristics.
[0053] Optionally, the computer-readable storage medium may be non-volatile memory (NVM), such as at least one disk storage device.
[0054] Optionally, the computer-readable storage medium may also be at least one storage device located remotely from the aforementioned processor.
[0055] In another embodiment of the present invention, a computer program product containing instructions is also provided, which, when run on a computer, causes the computer to perform the steps of the above-described method for screening wireless communication signal strength based on phototactic characteristics.
[0056] It should be noted that, for the embodiments of the device / electronic device / storage medium / computer program product, since they are basically similar to the method embodiments, the description is relatively simple. For relevant parts, please refer to the description of the method embodiments. All embodiments of the above-described wireless communication signal strength screening method based on phototactic characteristics are applicable to the device, electronic device and storage medium, and can achieve the same or similar beneficial effects.
[0057] It should be noted that the terms "first," "second," etc., are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that the embodiments of the invention described herein can be implemented in orders other than those illustrated or described herein. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the present invention. Rather, they are merely examples of apparatuses and methods consistent with some aspects of the invention.
[0058] In the description of this specification, the references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., indicate that a specific feature or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of the present invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features or characteristics described may be combined in any suitable manner in one or more embodiments or examples. Furthermore, those skilled in the art can combine and integrate the different embodiments or examples described in this specification.
[0059] Although the invention has been described herein in conjunction with various embodiments, those skilled in the art will understand and implement other variations of the disclosed embodiments by reviewing the accompanying drawings and the disclosure in carrying out the claimed invention. In the description of the invention, the word "comprising" does not exclude other components or steps, "a" or "an" does not exclude a plurality, and "a plurality" means two or more, unless otherwise explicitly specified. Furthermore, while different embodiments may describe certain measures, this does not mean that these measures cannot be combined to produce good results.
[0060] Those skilled in the art will understand that embodiments of the present invention can be provided as methods, apparatus (devices), or computer program products. Therefore, the present invention can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects, all of which are collectively referred to herein as "modules" or "systems." Furthermore, the present invention can take the form of a computer program product implemented on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code. The computer program may be stored / distributed in a suitable medium, provided with or as part of other hardware, or may take other distribution forms, such as via the Internet or other wired or wireless telecommunications systems.
[0061] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (devices), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0062] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0063] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0064] The above description, in conjunction with specific preferred embodiments, provides a further detailed explanation of the present invention. It should not be construed that the specific implementation of the present invention is limited to these descriptions. For those skilled in the art, various simple deductions or substitutions can be made without departing from the concept of the present invention, and all such modifications and substitutions should be considered within the scope of protection of the present invention.
Claims
1. A method for designing a multi-objective integrated concentrator structure for a space solar power station, characterized in that, include: Design a concentrator model and divide the concentrator model into multiple units; Analyze the mechanical target sensitivity, thermal target sensitivity, size constraint sensitivity, and volume constraint sensitivity corresponding to each of the aforementioned units; The physical density of the concentrator model is updated based on the mechanical target sensitivity, the thermal target sensitivity, the size constraint sensitivity, and the volume constraint sensitivity. The optimal physical density of the concentrator model is determined based on the objective function, thereby obtaining the concentrator topology.
2. The method according to claim 1, characterized in that, The analysis of the mechanical target sensitivity corresponding to each of the aforementioned units includes: Steady-state heat transfer analysis is performed on the concentrator model to determine the temperature field of each unit; and thermoelastic analysis is performed on the concentrator model to determine the displacement field of each unit. Calculate the strain energy of the region based on the temperature field and the displacement field; The mechanical target sensitivity is obtained by calculating the derivative of the strain energy of the region with respect to the physical density of the element.
3. The method according to claim 2, characterized in that, The analysis of the thermal target sensitivity corresponding to each of the aforementioned units includes: Calculate the thermal compliance function value based on the temperature field; The thermal target sensitivity is obtained by calculating the derivative of the thermal compliance function value with respect to the physical density of the unit.
4. The method according to claim 1, characterized in that, The analysis includes the size constraint sensitivity of each of the aforementioned units, including: Construct a maximum stiffening size constraint function based on the physical density of all elements; The dimensional constraint sensitivity is obtained by calculating the derivative of the maximum stiffening size constraint function with respect to the physical density of the element.
5. The method according to claim 1, characterized in that, The analysis of the volume constraint sensitivity corresponding to each of the aforementioned units includes: Construct a volume constraint function based on the physical density of all elements; The volume constraint sensitivity is obtained by calculating the derivative of the volume constraint function with respect to the physical density of the unit.
6. The method according to claim 3, characterized in that, The strain energy of the region is calculated using formula (1): Official (1); in, Represents the regional strain energy. This represents the nodal displacement vector of the concentrator mirror region. express transpose, This represents the stiffness matrix of the concentrator mirror region. This indicates the thermo-mechanical load in the concentrator mirror region. This indicates the temperature rise relative to a reference temperature. express transpose, This represents the Young's modulus of the condenser mirror region. This represents the constitutive matrix when Young's modulus is 1. This indicates the volume of the concentrator's reflector region; The thermal compliance function value is calculated using formula (2): Official (2); in, Represents the thermal compliance function value. This represents the temperature vector of the nodes in the concentrator mirror region. express transpose, This represents the thermal conductivity stiffness matrix of the concentrator mirror region.
7. The method according to claim 4, characterized in that, Construct the maximum stiffening dimension constraint function using formula (3): Official (3); in, This represents the constraint function for the maximum stiffening size. Indicates the number of units, P represents the density ratio of the e-th unit. This is the default value; Construct the volume constraint function using formula (4): Official (4); in, Represents the volume constraint function. This represents the physical density of the e-th unit. Let represent the volume of the e-th unit, and fupper represent the maximum allowed volume fraction. This represents the total volume of the entire design domain.
8. The method according to claim 3, characterized in that, The objective function is determined based on the regional strain energy and the thermal compliance function value; the objective function is: ; in, Objective function value, The physical density is The corresponding regional strain energy at that time, The physical density is The corresponding thermal flexibility function value, The physical density is The corresponding initial region strain energy at that time, The physical density is The corresponding initial thermal compliance function value at that time, Indicates the weight.
9. An electronic device, characterized in that, include: The electronic device includes a processor, a communication interface, a memory, and a communication bus, wherein the processor, the communication interface, and the memory communicate with each other via the communication bus. Memory, used to store computer programs; When the processor executes the program stored in the memory, it implements the steps of the multi-objective integrated concentrator structure design method for space solar power stations according to any one of claims 1 to 8.
10. A computer program product containing instructions, characterized in that, When it is run on a computer, it causes the computer to perform the steps of the multi-objective integrated concentrator structure design method for space solar power stations according to any one of claims 1 to 8.