Space solar power station multifunctional condenser structure design method, device and equipment
By constructing the topology of the concentrator support layer using closed non-uniform rational B-splines and the finite element method, and combining it with a multi-objective optimization model, the thermal management and structural stability problems of the space-based concentrated photovoltaic system were solved, achieving efficient energy harvesting and conversion in complex environments.
Patent Information
- Application Number
- CN202510893643.1
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-06-30
- Publication Date
- 2026-02-10
- Estimated Expiration
- 2045-06-30
AI Technical Summary
Existing space-based concentrated photovoltaic systems face challenges in optimizing thermal management and structural stability in the extreme environment of space. Traditional designs have failed to effectively resolve the contradiction between efficient energy harvesting and conversion, and the thermo-mechanical coupling effect leads to structural deformation that compromises optical precision.
The topology of the concentrator support layer is constructed using the closed non-uniform rational B-spline method. The structural and thermal performance is analyzed using the finite element method. The design parameters are optimized through a multi-objective optimization model to achieve a synergistic improvement in optical, thermal management, and mechanical performance.
It achieves overall performance improvement and long-term reliability of concentrators in complex environments. By quantitatively balancing different performance indicators, it provides the optimal design scheme and improves the overall efficiency and stability of space solar power stations.
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Figure CN120781480B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of space solar energy technology, specifically to a method, apparatus, and equipment for designing a multifunctional concentrator structure for a space solar power station. Background Technology
[0002] In recent years, with the continuous growth of human demand for clean energy, space solar power stations (SSPS) have attracted widespread attention in academia and industry as a concept that can overcome geographical limitations and achieve all-weather energy supply. The core challenge lies in how to achieve efficient energy harvesting and conversion under mass constraints. Concentrated photovoltaic (CPV) systems, with their technological advantage of focusing low-density solar radiation onto high-efficiency photovoltaic cells, have become an important research direction in the field of space solar energy utilization. This system increases the incident light energy density through concentrators, significantly reducing dependence on high-cost photovoltaic materials. However, the synergistic optimization of thermal management, structural stability, and energy conversion efficiency in the extreme environment of space has not yet been fully resolved. In particular, the radiative heat dissipation conditions in the space environment differ significantly from those on Earth, making it difficult to directly transplant traditional CPV designs. New structures with high-efficiency concentrating, thermal control, and lightweight characteristics need to be developed specifically for space applications.
[0003] In existing technologies, the structural design of space-based concentrated photovoltaic (PV) systems primarily revolves around the integration of the concentrator and the photovoltaic cells. A typical approach is a separate design, where the concentrator and photovoltaic panel are arranged independently, focusing sunlight onto the cell surface using optical elements. For example, some early conceptual designs used mirrors or lens arrays to achieve light focusing. Another approach focuses on integrated design, such as the modular tile structure proposed by some researchers, which directly integrates the linear concentrator and photovoltaic cells into a single module, achieving passive thermal management through heat pipes or radiative cooling units. This type of design shows potential in terms of energy density and system compactness, while also providing flexibility in packaging and deployment.
[0004] However, all of the aforementioned existing technologies have significant limitations. While separate designs facilitate independent optimization of concentrator and battery performance, they significantly increase the added mass and complexity of the thermal control system, and the high energy density of the focused beam makes it difficult to completely eliminate localized overheating issues in the battery. Integrated designs, while improving thermal management efficiency to some extent, do not fully resolve the coupling contradictions between multiple objective performance parameters. For example, the selection of concentrator materials must simultaneously satisfy optical reflectivity, thermal expansion coefficient matching, and radiative heat dissipation capacity, but existing designs often compromise on a single indicator through trade-offs, resulting in overall system performance being limited by the weakest link. Furthermore, structural deformation caused by thermo-mechanical coupling effects can directly compromise the optical accuracy of the concentrator, but existing technologies only focus on functional integration and cannot quantify and evaluate the performance degradation patterns under environmental loads and long-term service conditions. These technological bottlenecks restrict substantial breakthroughs in space-based concentrated photovoltaic systems towards high reliability and long lifespan. Summary of the Invention
[0005] To address the aforementioned problems in the existing technology, this invention provides a method, apparatus, and equipment for designing a multifunctional concentrator structure for a space solar power station.
[0006] The technical problem to be solved by this invention is achieved through the following technical solution:
[0007] In a first aspect, the present invention provides a method for designing a multifunctional concentrator structure for a space solar power station, comprising:
[0008] S101. Obtain predefined concentrator layer configuration information and photovoltaic panel configuration information; the concentrator layer configuration information includes: reflective film configuration information, support layer configuration information and heat dissipation layer configuration information;
[0009] S102. Using the support layer configuration information, the topology of the concentrator support layer is constructed using the closed non-uniform rational B-spline method; wherein, different design variables are used for the closed non-uniform rational B-spline in each iteration.
[0010] S103. Based on the topology and the layered configuration information of the concentrator, the structural performance and thermal performance of the support layer are obtained by the finite element method.
[0011] S104. The updated layer configuration information is obtained by utilizing the performance of the support layer structure, and the optical performance of the concentrator is calculated using the updated layer configuration information and the photovoltaic panel configuration information.
[0012] S105. Repeat steps S102-S104 until the preset number of iterations is reached, and use the results of S103-S104 corresponding to each iteration as a set of concentrator parameter groups to form multiple concentrator parameter groups.
[0013] S106. Substitute multiple concentrator parameter sets into the pre-built multi-objective optimization model in sequence to optimize and obtain the structural design parameters of the multi-functional concentrator. The pre-built multi-objective optimization model takes the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the solution objective, and takes the concentrator layer configuration information corresponding to the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the parameters to be solved.
[0014] Optionally, the topology of the concentrator support layer is constructed using a closed non-uniform rational B-spline method based on the support layer configuration information, including:
[0015] Based on the support layer configuration information, closed non-uniform rational B-splines are generated using the closed non-uniform rational B-spline method.
[0016] The closed non-uniform rational B-spline is projected vertically onto the support layer of the concentrator, and a topological structure is formed based on the boundary of the vertical projection.
[0017] Alternatively, a closed non-uniform rational B-spline can be represented as:
[0018] ;
[0019] This represents a closed, non-uniform rational B-spline. Indicates the first The first control point Step The basis functions of the closed non-uniform rational B-spline corresponding to the node. The first term represents the closed non-uniform rational B-spline. The coordinates of the control points and They are nodes The upper and lower boundary values, This represents the total number of control points for a closed, non-uniform rational B-spline.
[0020] ;
[0021] in, This represents the coordinates of the center point of a closed, non-uniform rational B-spline. Let x and y represent the x and y coordinates of the center point of the closed non-uniform rational B-spline, respectively. The first term represents the closed non-uniform rational B-spline. control points to distance, Indicate control points and The angle between the line connecting them and the vertical axis of the coordinate system. , Let represent the coordinates of the first control point of the closed non-uniform rational B-spline. The first term represents the closed non-uniform rational B-spline. The coordinates of the control points This indicates transpose processing.
[0022] Optionally, based on the topology and concentrator layer configuration information, the structural performance and thermal performance of the support layer are obtained using the finite element method, including:
[0023] The topology is discretized into multiple triangular elements using the finite element method.
[0024] Based on multiple triangular elements, the structural-thermal coupling effect is solved using the finite element equilibrium equation to obtain the structural performance and thermal performance of the support layer.
[0025] Alternatively, the finite element equilibrium equations can be expressed as:
[0026] ;
[0027] in, This represents the design variables used in a closed, non-uniform rational B-spline. Indicates design variables Global stiffness matrix of the lower concentrator support layer Indicates the performance of the supporting layer structure. Indicates the thermal properties of the support layer. This represents the mechanical load vector of the triangular element. Indicates design variables Global thermal stiffness matrix of the lower concentrator support layer Represents the thermal load vector of the triangular element;
[0028] ;
[0029] The stiffness matrix of the triangular element is represented. This represents the total number of triangular elements obtained from the discretization. The discrete result is the first Triangular units, The design domain of the triangular element. This represents the strain-displacement matrix of the triangular element. Represent design variables The constitutive matrix of the corresponding triangular element, Indicates taking the conjugate. This represents the thermal stiffness matrix of the triangular element. This represents the temperature-gradient matrix of the triangular element. Indicates design variables Thermal conductivity of the lower support layer This indicates transpose processing.
[0030] Optionally, updated layer configuration information is obtained using the performance of the support layer structure, and the optical performance of the concentrator is calculated using the updated layer configuration information and photovoltaic panel configuration information, including:
[0031] The concentrator layer configuration information is updated based on the performance of the support layer structure to obtain the updated layer configuration information;
[0032] By adopting updated hierarchical configuration information and photovoltaic panel configuration information, the support layer and photovoltaic panel are respectively divided into multiple support layer sub-units and multiple photovoltaic panel sub-units;
[0033] The optical performance of the concentrator is calculated by using the light tracing method, combined with updated hierarchical configuration information, multiple support layer sub-units and photovoltaic panel sub-units;
[0034] The optical performance of the concentrator is expressed as follows:
[0035] ;
[0036] This indicates the optical performance value of the concentrator. This represents the total solar energy received by all photovoltaic panels. This represents the total solar energy incident on the concentrator. Indicates from the first The first support layer subunit reflects to the first j Solar radiation intensity of each photovoltaic panel sub-unit This indicates the total number of sub-units in the support layer. This indicates the total number of photovoltaic panel sub-units. Indicates the incident ray and the first The angle between the normals of the supporting layer sub-units Indicates the first j The effective receiving area of each photovoltaic panel sub-unit Indicates the first The effective receiving area of each support layer sub-unit, of which... , and All of them are built using updated hierarchical configuration information.
[0037] Alternatively, the pre-built multi-objective optimization model can be represented as:
[0038] ;
[0039] in, Indicates definition, This indicates minimization. Indicates constraints. This represents the current set of concentrator parameters defined by design variables. This represents the coordinates of the center point of a closed, non-uniform rational B-spline. Let x and y represent the x and y coordinates of the center point of the closed non-uniform rational B-spline, respectively. Corresponding to the first A closed non-uniform rational B-spline control point to distance, This indicates transpose processing. Indicates in The value of the objective function under the given conditions. Indicates in Mean square error of the structural performance of the support layer in the lower vertical direction. Indicates in Maximum thermal performance of the lower support layer and These represent the global stiffness matrix and global thermal conductivity matrix of the concentrator support layer, respectively. Indicates the performance of the supporting layer structure. Indicates the thermal properties of the support layer. This represents the mechanical load vector of the triangular element. This indicates the heat flow into the support layer. The design domain of the triangular element. This represents the predefined volume fraction of the support layer.
[0040] Secondly, the present invention provides a multifunctional concentrator structure design device for a space solar power station, which includes: an acquisition unit, a topology construction unit, a calculation unit, a loop unit, and an optimization processing unit.
[0041] The acquisition unit is used to: acquire predefined concentrator layer configuration information and photovoltaic panel configuration information; the concentrator layer configuration information includes: reflective film configuration information, support layer configuration information and heat dissipation layer configuration information;
[0042] The topology building unit is used to: construct the topology of the concentrator support layer using the closed non-uniform rational B-spline method based on the support layer configuration information; wherein, different design variables are used for the closed non-uniform rational B-spline in each iteration.
[0043] The computing unit is used to: obtain the structural performance and thermal performance of the support layer based on the topology and the layered configuration information of the concentrator using the finite element method;
[0044] The computing unit is also used to: obtain updated layer configuration information using the performance of the support layer structure, and calculate the optical performance of the concentrator using the updated layer configuration information and photovoltaic panel configuration information;
[0045] The loop unit is used to: repeatedly execute the processing from the topology building unit to the computing unit until the preset number of iterations is reached, and use the results of the topology building unit and computing unit corresponding to each iteration as a set of concentrator parameter sets to form multiple concentrator parameter sets;
[0046] The optimization processing unit is used to: sequentially substitute multiple concentrator parameter sets into a pre-built multi-objective optimization model to optimize and obtain the structural design parameters of the multi-functional concentrator; the pre-built multi-objective optimization model takes the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the solution objective, and takes the concentrator layer configuration information corresponding to the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the parameters to be solved.
[0047] Thirdly, the present invention provides a multifunctional concentrator structure design device for a space solar power station, comprising: a processor, a storage medium and a bus, wherein the storage medium stores machine-readable instructions executable by the processor, and when the multifunctional concentrator structure design device for a space solar power station is running, the processor communicates with the storage medium via the bus, and the processor executes the machine-readable instructions to perform the steps of the multifunctional concentrator structure design method for a space solar power station as described in the first aspect above.
[0048] This invention provides a method, apparatus, and equipment for designing a multifunctional concentrator structure for a space solar power station. The method includes: S101, obtaining predefined concentrator layer configuration information and photovoltaic panel configuration information; the concentrator layer configuration information includes: reflective film configuration information, support layer configuration information, and heat dissipation layer configuration information; S102, constructing the topology of the concentrator support layer using the support layer configuration information and a closed non-uniform rational B-spline method; wherein, different design variables are used for the closed non-uniform rational B-spline in each iteration; S103, obtaining the support layer structural performance and thermal performance using the finite element method based on the topology and concentrator layer configuration information; S104, obtaining updated layer configuration information using the support layer structural performance. The optical performance of the concentrator is calculated using updated hierarchical configuration information and photovoltaic panel configuration information; S105, steps S102-S104 are executed repeatedly until the preset number of iterations is reached, and the results of S103-S104 corresponding to each iteration are used as a set of concentrator parameter groups to form multiple concentrator parameter groups; S106, multiple concentrator parameter groups are successively substituted into the pre-built multi-objective optimization model to optimize and obtain the structural design parameters of the multi-functional concentrator; the pre-built multi-objective optimization model takes the minimum mean square error of the support layer structural performance or the highest support layer thermal performance as the solution objective, and the concentrator hierarchical configuration information corresponding to the minimum mean square error of the support layer structural performance or the highest support layer thermal performance as the parameters to be solved. In this invention, the topology of the concentrator support layer is constructed by introducing a closed non-uniform rational B-spline method, achieving a more flexible and accurate geometric description capability, thus providing greater freedom for optimization design. The optical performance of the concentrator is obtained by combining the performance analysis of the support layer structure, establishing a quantitative relationship between structure and thermal behavior. Based on this, a multi-objective optimization model is constructed and solved using an intelligent optimization algorithm, which can systematically balance the coupling contradictions between optical, thermal management, and mechanical performance, avoiding the compromises made on single indicators in traditional design. The resulting optical performance of the concentrator reveals the trade-offs between different key performance indicators, providing a set of feasible optimal design schemes for engineering applications, thereby effectively improving the overall performance and long-term reliability of the multifunctional concentrator for space solar power stations in complex environments.
[0049] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. Attached Figure Description
[0050] Figure 1 A flowchart illustrating a multifunctional concentrator structure design method for a space solar power station provided in an embodiment of the present invention;
[0051] Figure 2A schematic diagram of a spherical energy harvesting system is shown as an example.
[0052] Figure 3(a) illustrates an exemplary geometric description of a closed non-uniform rational B-spline;
[0053] Figure 3(b) illustrates, for example, a schematic diagram of the geometric boundary evolution for the problem of overlapping non-uniform rational B-splines;
[0054] Figure 4 An exemplary schematic diagram of the geometric relationship of incident light transmission between the support layer sub-unit and the photovoltaic panel sub-unit is shown;
[0055] Figure 5(a) illustrates a schematic diagram of the detailed structural parameters of the concentrator;
[0056] Figure 5(b) illustrates a schematic diagram of detailed structural parameters of a photovoltaic panel;
[0057] Figure 6 A schematic diagram of the Pareto front curve obtained based on the multi-objective optimization model of the present invention is shown as an example;
[0058] Figure 7(a) illustrates, for example, the concentrator topology corresponding to the first compromise scheme obtained from the Pareto front curve;
[0059] Figure 7(b) illustrates, for example, the concentrator topology corresponding to the second compromise scheme obtained from the Pareto front curve;
[0060] Figure 7(c) illustrates, for example, the concentrator topology corresponding to the third compromise scheme obtained from the Pareto front curve;
[0061] Figure 8(a) illustrates, for example, a two-dimensional energy distribution diagram on the photovoltaic panel corresponding to the concentrator topology under the first compromise scheme;
[0062] Figure 8(b) illustrates, for example, a three-dimensional energy distribution diagram on the photovoltaic panel corresponding to the concentrator topology under the first compromise scheme;
[0063] Figure 9(a) illustrates, for example, a two-dimensional energy distribution diagram on the photovoltaic panel corresponding to the concentrator topology under the second compromise scheme;
[0064] Figure 9(b) illustrates, for example, a three-dimensional energy distribution diagram on the photovoltaic panel corresponding to the concentrator topology under the second compromise scheme;
[0065] Figure 10(a) illustrates, for example, a two-dimensional energy distribution diagram on the photovoltaic panel corresponding to the concentrator topology under the third compromise scheme;
[0066] Figure 10(b) illustrates, for example, a three-dimensional energy distribution diagram on the photovoltaic panel corresponding to the concentrator topology under the third compromise scheme;
[0067] Figure 11 A schematic diagram of a multifunctional concentrator structure design device for a space solar power station provided in an embodiment of the present invention;
[0068] Figure 12 This is a structural schematic diagram of a multifunctional concentrator structure design device for a space solar power station, provided as an embodiment of the present invention. Detailed Implementation
[0069] 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.
[0070] In order to effectively improve the overall performance and long-term reliability of multifunctional concentrators in space solar power stations under complex environments, this invention provides a structural design method for multifunctional concentrators in space solar power stations. Figure 1 A flowchart illustrating a multifunctional concentrator structure design method for a space solar power station provided by an embodiment of the present invention is shown below. Figure 1 As shown, it includes:
[0071] S101. Obtain predefined concentrator layer configuration information and photovoltaic panel configuration information.
[0072] The concentrator layer configuration information includes: reflective film configuration information, support layer configuration information, and heat dissipation layer configuration information.
[0073] In this embodiment, a spherical energy harvesting system is used as an example for illustration. Figure 2 An exemplary schematic diagram of a spherical energy harvesting system is shown, such as... Figure 2 As shown, the spherical energy harvesting system consists of a spherical concentrator and a rotating photovoltaic panel. The multifunctional concentrator (spherical concentrator) employs a sandwich-like multi-layered architecture, with each layer having a different function. Specifically, the multifunctional concentrator consists of three functional layers. The first layer is a highly reflective thin film, typically made of thermally evaporated silver or aluminum. This reflective film is located at the innermost layer of the concentrator and is bonded to the supporting structure; its function is to efficiently guide incident sunlight to the photovoltaic cells, thereby converting light energy into electrical energy. The second layer is the supporting layer, acting as an intermediate layer and serving as the mechanical support structure, similar to the core material of a sandwich panel. This supporting layer can be made of composite materials or metals, and its structure is designed through multi-objective topology optimization to balance structural stiffness and thermal conductivity. The third layer is a high-emissivity heat dissipation layer, located at the outermost layer of the concentrator and coated on the outer surface of the supporting layer, designed to enhance the radiative heat dissipation capacity into space.
[0074] S102. Using the support layer configuration information, the topology of the concentrator support layer is constructed using the closed non-uniform rational B-spline method.
[0075] In each iteration, different design variables are used to close the non-uniform rational B-spline.
[0076] It should be noted that, in this embodiment, the values of the design variables can be determined based on the position of the center point of the closed non-uniform rational B-spline, the distance from the control point to the center point, and the number of control points.
[0077] Optionally, S102 may specifically include:
[0078] Based on the support layer configuration information, closed non-uniform rational B-splines are generated using the closed non-uniform rational B-spline method.
[0079] The closed non-uniform rational B-spline is projected vertically onto the support layer of the concentrator, and a topological structure is formed based on the boundary of the vertical projection.
[0080] The boundary of the concentrator support layer's topology can be described by multiple closed non-uniform rational B-splines. During the construction of the concentrator support layer's topology boundary, each closed non-uniform rational B-spline within the structural region can move, expand, shrink, overlap, and merge until the concentrator's topological layout is determined. In a two-dimensional problem, a closed non-uniform rational B-spline can be represented as:
[0081] ;
[0082] This represents a closed, non-uniform rational B-spline. Indicates the first The first control point Step The basis functions of the closed non-uniform rational B-spline corresponding to the node. The first term represents the closed non-uniform rational B-spline. The coordinates of the control points and They are nodes The upper and lower boundary values, This represents the total number of control points for a closed, non-uniform rational B-spline.
[0083] ;
[0084] in, This represents the coordinates of the center point of a closed, non-uniform rational B-spline. Let x and y represent the x and y coordinates of the center point of the closed non-uniform rational B-spline, respectively. The first term represents the closed non-uniform rational B-spline. control points to distance, Indicate control points and The angle between the line connecting them and the vertical axis of the coordinate system. , Let represent the coordinates of the first control point of the closed non-uniform rational B-spline. The first term represents the closed non-uniform rational B-spline. The coordinates of the control points This indicates transpose processing.
[0085] in addition, From node vectors constitute, ,and a and b These are monotonically non-decreasing real numbers. The lower and upper bounds, They represent the first Each node.
[0086] The topology of the support layer can be determined using multiple closed non-uniform rational B-splines, as described above. However, overlapping of these multiple non-uniform rational B-spline curves may occur. To address this overlap, control points located in other non-uniform rational B-splines can be placed in an inactive state, while the remaining control points can be placed in an active state. The active control points are then used to complete the geometric boundary evolution of the merged support layer's topology.
[0087] Figure 3(a) exemplarily illustrates a geometric description of a closed non-uniform rational B-spline, and Figure 3(b) exemplarily illustrates a geometric boundary evolution for the overlapping problem of non-uniform rational B-splines. As shown in Figure 3(a), this can be achieved by designing variables... Determine the center point of the closed uniform rational B-spline. Location, number of control points and the Distance of each control point from the center point After that, it can be determined that the first coordinates of control points Further through and the The first control point A closed non-uniform rational B-spline can be obtained by finding the basis functions of the closed non-uniform rational B-spline corresponding to the order node.
[0088] Figure 3(b) illustrates four schematic diagrams for handling the overlapping problem of multiple closed non-uniform rational B-splines. For ease of distinction, a long dashed line with black circular active control points represents an intersecting closed non-uniform rational B-spline curve (defined as curve A). A short dashed line with black square active control points represents an intersecting closed non-uniform rational B-spline curve (defined as curve B). A dotted-dash line with black triangular active control points represents an intersecting closed non-uniform rational B-spline curve (defined as curve C). A solid line with black circular, square, or triangular active control points represents a merged closed non-uniform rational B-spline curve (defined as curve D). When a black active control point is located inside another closed non-uniform rational B-spline curve, it will change from a black active control point to a white inactive control point. For two curves, i.e., curve A and curve B, which are independent and do not overlap, curve A transforms into curve D; curve B transforms into curve D.
[0089] When two curves, namely curve A and curve B, are independent but overlap, the black circular active control point located inside curve B is transformed into a white circular inactive control point; the black square active control point located inside curve A is transformed into a white square inactive control point; the region formed by the merging of curves A and B is transformed into curve D.
[0090] When three curves, namely curve A, curve B, and curve C, are independent but overlap, the following changes occur: Black circular active control points located inside curve B or curve C become white circular inactive control points; black square active control points located inside curve A or curve C become white square inactive control points; black triangular active control points located inside curve A or curve B become white triangular inactive control points; and the region formed by merging curves A, B, and C becomes curve D.
[0091] S103. Based on the topology and the layered configuration information of the concentrator, the structural performance and thermal performance of the support layer are obtained by the finite element method.
[0092] Optionally, S103 may specifically include:
[0093] The topology is discretized into multiple triangular elements using the finite element method.
[0094] Based on multiple triangular elements, the structural-thermal coupling effect is solved using the finite element equilibrium equation to obtain the structural performance and thermal performance of the support layer.
[0095] Alternatively, the finite element equilibrium equations can be expressed as:
[0096] ;
[0097] in, This represents the design variables used in a closed, non-uniform rational B-spline. Indicates design variables Global stiffness matrix of the lower concentrator support layer Indicates the performance of the supporting layer structure. Indicates the thermal properties of the support layer. This represents the mechanical load vector of the triangular element. Indicates design variables Global thermal stiffness matrix of the lower concentrator support layer Represents the thermal load vector of the triangular element;
[0098] ;
[0099] The stiffness matrix of the triangular element is represented. This represents the total number of triangular elements obtained from the discretization. The discrete result is the first Triangular units, The design domain of the triangular element. This represents the strain-displacement matrix of the triangular element. Represent design variables The constitutive matrix of the corresponding triangular element, Indicates taking the conjugate. This represents the thermal stiffness matrix of the triangular element. This represents the temperature-gradient matrix of the triangular element. Indicates design variables Thermal conductivity of the lower support layer This indicates transpose processing.
[0100] S104. The updated layer configuration information is obtained by utilizing the performance of the support layer structure, and the optical performance of the concentrator is calculated using the updated layer configuration information and the photovoltaic panel configuration information.
[0101] Optionally, S104 may specifically include:
[0102] The concentrator layer configuration information is updated based on the performance of the support layer structure to obtain the updated layer configuration information;
[0103] By adopting updated hierarchical configuration information and photovoltaic panel configuration information, the support layer and photovoltaic panel are respectively divided into multiple support layer sub-units and multiple photovoltaic panel sub-units;
[0104] The optical performance of the concentrator is calculated by using the light tracing method, combined with updated hierarchical configuration information, multiple support layer sub-units and photovoltaic panel sub-units;
[0105] The optical performance of the concentrator is expressed as follows:
[0106] ;
[0107] This indicates the optical performance value of the concentrator. This represents the total solar energy received by all photovoltaic panels. This represents the total solar energy incident on the concentrator. Indicates from the first The first support layer subunit reflects to the first j Solar radiation intensity of each photovoltaic panel sub-unit This indicates the total number of sub-units in the support layer. This indicates the total number of photovoltaic panel sub-units. Indicates the incident ray and the first The angle between the normals of the supporting layer sub-units Indicates the first j The effective receiving area of each photovoltaic panel sub-unit Indicates the first The effective receiving area of each support layer sub-unit, of which... , and All of them are built using updated hierarchical configuration information.
[0108] Figure 4 An exemplary schematic diagram illustrates the geometric relationship of incident light transmission between the support layer sub-unit (concentrator sub-unit) and the photovoltaic panel sub-unit (photovoltaic cell sub-unit).
[0109] It should be noted that since the area of multiple support layer sub-units can be obtained by cross-product of the corresponding edges, it can be constructed using updated hierarchical configuration information. Furthermore, the updated hierarchical configuration information includes the effective receiving area of the photovoltaic panel sub-units and the effective receiving area of the support layer, which can therefore be obtained. In addition, a system can be constructed based on the hierarchical configuration information of the support layer or the updated hierarchical configuration information. The process can be referred to the relevant construction process and formulas in "Yan Jian, You DuoPeng, Yong Xiang Liu, An optical-mechanical integrated modeling method of solar dish concentrator system for optical performance analysis under serviceload, Energy. 261(2022)125283.", which will not be repeated in this embodiment.
[0110] S105. Repeat steps S102-S104 until the preset number of iterations is reached, and use the results of S103-S104 corresponding to each iteration as a set of condenser parameter groups to form multiple condenser parameter groups.
[0111] In this embodiment, a set of concentrator parameters includes the structural performance of the support layer, the thermal performance of the support layer, and the optical performance of the concentrator. All of the above information is described by design variables.
[0112] S106. Substitute multiple concentrator parameter groups into the pre-built multi-objective optimization model in sequence to obtain the structural design parameters of the multi-functional concentrator.
[0113] The pre-constructed multi-objective optimization model takes the minimum mean square error of the support layer structure performance or the highest thermal performance of the support layer as the solution objective, and the concentrator layer configuration information corresponding to the minimum mean square error of the support layer structure performance or the highest thermal performance of the support layer as the parameters to be solved.
[0114] Alternatively, the pre-built multi-objective optimization model can be represented as:
[0115] ;
[0116] in, Indicates definition, This indicates minimization. Indicates constraints. This represents the current set of concentrator parameters defined by design variables. This represents the coordinates of the center point of a closed, non-uniform rational B-spline. Let x and y represent the x and y coordinates of the center point of the closed non-uniform rational B-spline, respectively. Corresponding to the first A closed non-uniform rational B-spline control point to distance, This indicates transpose processing. Indicates in The value of the objective function under the given conditions. Indicates in Mean square error of the structural performance of the support layer in the lower vertical direction. Indicates in Maximum thermal performance of the lower support layer and These represent the global stiffness matrix and global thermal conductivity matrix of the concentrator support layer, respectively. Indicates the performance of the supporting layer structure. Indicates the thermal properties of the support layer. This represents the mechanical load vector of the triangular element. This indicates the heat flow into the support layer. The design domain of the triangular element. This represents the predefined volume fraction of the support layer.
[0117] It should be noted that, in this embodiment, the following can be used: The solutions are plotted as Pareto curves, and two or three compromise solutions are output as the optimization results. When two compromise solutions are output, the solution objective can be to minimize the mean square error of the support layer structure performance or maximize the support layer thermal performance. When three compromise solutions are output, the solution objective can be to minimize the mean square error of the support layer structure performance, maximize the support layer thermal performance, or take the median value of both the mean square error of the support layer structure performance and the support layer thermal performance.
[0118] This invention provides a method for designing a multifunctional concentrator structure for a space solar power station, comprising: S101, obtaining predefined concentrator layer configuration information and photovoltaic panel configuration information; the concentrator layer configuration information includes: reflective film configuration information, support layer configuration information, and heat dissipation layer configuration information; S102, constructing the topology of the concentrator support layer using the support layer configuration information and a closed non-uniform rational B-spline method; wherein, different design variables are used for the closed non-uniform rational B-spline in each iteration; S103, obtaining the support layer structural performance and thermal performance using the finite element method based on the topology and concentrator layer configuration information; S104, obtaining an updated layer configuration using the support layer structural performance. Information is used to calculate the optical performance of the concentrator using updated hierarchical configuration information and photovoltaic panel configuration information; S105, steps S102-S104 are executed repeatedly until the preset number of iterations is reached, and the results of S103-S104 corresponding to each iteration are used as a set of concentrator parameter groups to form multiple concentrator parameter groups; S106, multiple concentrator parameter groups are successively substituted into the pre-built multi-objective optimization model to optimize and obtain the structural design parameters of the multi-functional concentrator; the pre-built multi-objective optimization model takes the minimum mean square error of the support layer structural performance or the highest support layer thermal performance as the solution objective, and the concentrator hierarchical configuration information corresponding to the minimum mean square error of the support layer structural performance or the highest support layer thermal performance as the parameters to be solved. In this embodiment of the invention, the topology of the concentrator support layer is constructed by introducing a closed non-uniform rational B-spline method, which achieves a more flexible and accurate geometric description capability, thereby providing a higher degree of freedom for optimization design. The optical performance of the concentrator is obtained by combining the performance analysis of the support layer structure, and a quantitative relationship between structure and thermal behavior is established. On this basis, a multi-objective optimization model is constructed and solved using an intelligent optimization algorithm, which can systematically balance the coupling contradiction between optical, thermal management and mechanical performance, avoiding the compromise of single indicators in traditional design. The final optical performance of the concentrator can reveal the trade-off relationship between different key performance indicators, providing a set of feasible optimal design schemes for engineering applications, thereby effectively improving the overall performance and long-term reliability of the multifunctional concentrator of the space solar power station in complex environments.
[0119] To verify the effectiveness of the multifunctional concentrator structure design method for a space solar power station provided by this invention, simulation experiments were also conducted, as follows:
[0120] Simulation parameters: Concentrator radius R=500mm, with a total thickness of 3mm. The thicknesses of the reflective layer, support layer, and radiating layer are 0.1mm, 2.8mm, and 0.1mm, respectively. Figure 5(a) shows an exemplary schematic diagram of the detailed structural parameters of the concentrator. Figure 5(b) shows an exemplary schematic diagram of the detailed structural parameters of the photovoltaic panel. As shown in Figure 5(a), the support layer is made of copper, with material properties that are approximately constant, Young's modulus E = 110 GPa, and Poisson's ratio... ν =0.33, density ρ =8960kg / m 3 coefficient of thermal expansion α =1.7×10 -5 / ℃, solar radiation intensity is 1367 W / m 2 The spatial light pressure is 9.114 × 10⁻⁶. -6 N / m 2 The calculated heat flow rate is 234953 W / m³. 2 .
[0121] The simulation content and results are as follows: First, based on the algorithm flow established in this invention, the Pareto front curve is output when the number of iterations reaches the maximum. Figure 6 A schematic diagram of the Pareto front curve obtained based on the multi-objective optimization model of the present invention is shown as an example. From Figure 6 It can be seen that, with the mean square error of the support layer structure performance (hereinafter referred to as...) RSME As the thermal performance of the support layer increases, the maximum temperature of the concentrator decreases, indicating a clear trade-off between concentrator structural deformation and thermal performance. Each black circle represents a concentrator topology with a corresponding weighting factor, signifying that the obtained concentrator structure is a compromise solution in the target space. To facilitate understanding of the advantages of this invention, a white pentagram marks the concentrator topology with the lowest support layer thermal performance, denoted as P1; a black pentagram marks the concentrator topology at the compromise position (the mean square error of both support layer thermal performance and support layer structural performance is taken as the median value), denoted as P2; and a gray pentagram marks the concentrator topology with the highest temperature, denoted as P3. The three concentrator structures are shown in Figures 7(a), 7(b), and 7(c), respectively. Next, the structure-thermal finite element method is used to obtain... RMSEThe concentrator's maximum temperature varies within the range of [0.239 mm, 0.535 mm], while the maximum temperature of the concentrator varies within the range of [255℃, 318.9℃]. Finally, the Monte Carlo method was used to perform optical simulations on the three concentrator structures P1, P2, and P3, respectively, to obtain the energy distribution on the photovoltaic panels corresponding to the three concentrator structures. The energy distribution on the photovoltaic panel corresponding to the concentrator topology P1 marked with a white pentagram is shown in Figures 8(a) and 8(b). The energy distribution on the photovoltaic panel corresponding to the concentrator topology P2 marked with a black pentagram is shown in Figures 9(a) and 9(b). The energy distribution on the photovoltaic panel corresponding to the concentrator topology P3 marked with a gray pentagram is shown in Figures 10(a) and 10(b). Figure 8(a) , 9(a) Both 10(a) and 10(a) are two-dimensional plots of energy distribution. Figure 8(b) , 9(b) Both 10(b) and 10(b) are three-dimensional plots of energy distribution.
[0122] It is worth noting that all concentrator topologies exhibit a solid region at their bottom (fixed end), which helps ensure sufficient structural stiffness and provides a heat conduction path. Among them, the concentrator topology P1, marked with a white pentagram, produces the largest... RMSE Furthermore, its closed, non-uniform rational B-spline region is far from the bottom of the concentrator. Conversely, for minimizing RMSE The gray pentagram-marked concentrator topology P3 has its closed, non-uniform rational B-spline region located closer to the bottom, a layout that sacrifices thermal performance. Alternatively, as a compromise, the black pentagram-marked concentrator topology P2 has a non-uniform rational B-spline region distribution between the white pentagram-marked topology P1 and the gray pentagram-marked topology P3, thus achieving a balance between two competing objectives. From a temperature perspective, the white pentagram-marked concentrator topology P1 provides a more continuous conduction path, achieving a maximum temperature of 255°C, while the gray pentagram-marked topology P3 introduces greater thermal resistance, resulting in a higher temperature of 318.9°C.
[0123] This demonstrates that multi-objective optimization for specific environments is crucial for achieving high-performance, multifunctional concentrator structural designs. This invention enables the design of multifunctional concentrators with diverse performance requirements.
[0124] The method provided in this embodiment of the invention can be applied to electronic devices. Specifically, the electronic device can be a desktop computer, a portable computer, a smart mobile terminal, a server, etc., and this embodiment of the invention does not limit the application to such devices.
[0125] Based on the same inventive concept, embodiments of the present invention also provide a multifunctional concentrator structure design device for a space solar power station. Figure 11 A schematic diagram of a multifunctional concentrator structure design device for a space solar power station provided in an embodiment of the present invention is shown below. Figure 11 As shown, it includes:
[0126] The unit includes an acquisition unit 601, a topology construction unit 602, a calculation unit 603, a loop unit 604, and an optimization processing unit 605.
[0127] The acquisition unit 601 is used to: acquire predefined concentrator layer configuration information and photovoltaic panel configuration information; the concentrator layer configuration information includes: reflective film configuration information, support layer configuration information and heat dissipation layer configuration information;
[0128] The topology building unit 602 is used to: construct the topology of the concentrator support layer using the closed non-uniform rational B-spline method based on the support layer configuration information; wherein, different design variables are used for the closed non-uniform rational B-spline in each iteration.
[0129] The computing unit 603 is used to: obtain the structural performance and thermal performance of the support layer based on the topology and the layered configuration information of the concentrator using the finite element method;
[0130] The calculation unit 603 is also used to: obtain updated layer configuration information using the performance of the support layer structure, and calculate the optical performance of the concentrator using the updated layer configuration information and photovoltaic panel configuration information;
[0131] The loop unit 604 is used to: repeatedly execute the processing from the topology building unit to the computing unit until the preset number of iterations is reached, and use the results of the topology building unit and computing unit corresponding to each iteration as a set of concentrator parameter sets to form multiple concentrator parameter sets;
[0132] The optimization processing unit 605 is used to: sequentially substitute multiple concentrator parameter sets into a pre-built multi-objective optimization model to optimize and obtain the structural design parameters of the multi-functional concentrator; the pre-built multi-objective optimization model takes the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the solution objective, and takes the concentrator layer configuration information corresponding to the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the parameters to be solved.
[0133] Figure 12A schematic diagram of a multifunctional concentrator structure design device for a space solar power station provided in an embodiment of the present invention includes: a processor 710, a storage medium 720, and a bus 730. The storage medium 720 stores machine-readable instructions executable by the processor 710. When the multifunctional concentrator structure design device for a space solar power station is running, the processor 710 communicates with the storage medium 720 via the bus 730, and the processor 710 executes the machine-readable instructions to perform the steps of the above-described method embodiment. The specific implementation and technical effects are similar and will not be described in detail here.
[0134] The storage medium may include random access memory (RAM) or non-volatile memory (NVM), such as at least one disk storage device. Optionally, the storage medium may also be at least one storage device located remotely from the aforementioned processor.
[0135] 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.
[0136] In the description of this specification, the references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., refer to specific features or characteristics described in connection with that embodiment or example, which are 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.
[0137] Although the invention has been described herein in conjunction with various embodiments, those skilled in the art, by reviewing the accompanying drawings and the disclosure, will understand and implement other variations of the disclosed embodiments in carrying out the claimed invention. In this description, 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.
[0138] 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 inventive concept, 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 multifunctional concentrator structure for a space solar power station, characterized in that, include: S101. Obtain predefined concentrator layer configuration information and photovoltaic panel configuration information; The concentrator layer configuration information includes: reflective film configuration information, support layer configuration information, and heat dissipation layer configuration information; S102. Using the support layer configuration information, the topology of the concentrator support layer is constructed using the closed non-uniform rational B-spline method; wherein, different design variables are used for the closed non-uniform rational B-spline in each iteration. S103. Based on the topology and the layered configuration information of the concentrator, the structural performance and thermal performance of the support layer are obtained by the finite element method. S104. Utilizing the performance of the supporting layer structure, updated layer configuration information is obtained, and the optical performance of the concentrator is calculated using the updated layer configuration information and the photovoltaic panel configuration information; specifically including: The concentrator layer configuration information is updated based on the performance of the support layer structure to obtain the updated layer configuration information; Using the updated hierarchical configuration information and the photovoltaic panel configuration information, the support layer and the photovoltaic panel are respectively divided into multiple support layer sub-units and multiple photovoltaic panel sub-units; The optical performance of the concentrator is calculated by using the light tracing method, combined with the updated hierarchical configuration information, the multiple support layer sub-units, and the photovoltaic panel unit; The optical performance of the concentrator is expressed as follows: ; This indicates the optical performance value of the concentrator. This represents the total solar energy received by all photovoltaic panels. This represents the total solar energy incident on the concentrator. Indicates from the first The first support layer subunit reflects to the first j Solar radiation intensity of each photovoltaic panel sub-unit This indicates the total number of sub-units in the support layer. This indicates the total number of photovoltaic panel sub-units. Indicates the incident ray and the first The angle between the normals of the supporting layer sub-units Indicates the first j The effective receiving area of each photovoltaic panel sub-unit Indicates the first The effective receiving area of each support layer sub-unit, of which... , and All of them are built using updated hierarchical configuration information; S105. Repeat steps S102-S104 until the preset number of iterations is reached, and use the results of S103-S104 corresponding to each iteration as a set of concentrator parameter groups to form multiple concentrator parameter groups. S106. Substitute the multiple concentrator parameter sets into the pre-built multi-objective optimization model in sequence to optimize and obtain the multi-functional concentrator structural design parameters. The pre-built multi-objective optimization model takes the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the solution objective, and takes the concentrator layer configuration information corresponding to the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the parameters to be solved.
2. The design method for a multifunctional concentrator structure for a space solar power station according to claim 1, characterized in that, The construction of the concentrator support layer topology using the configuration information of the support layer and the closed non-uniform rational B-spline method includes: Based on the support layer configuration information, closed non-uniform rational B-splines are generated using the closed non-uniform rational B-spline method. The closed non-uniform rational B-spline is projected vertically onto the support layer of the concentrator, and the topology is formed based on the boundary of the vertical projection.
3. The design method for a multifunctional concentrator structure for a space solar power station according to claim 2, characterized in that, The closed non-uniform rational B-spline is represented as: ; This represents a closed, non-uniform rational B-spline. Indicates the first The first control point Step The basis functions of the closed non-uniform rational B-spline corresponding to the node. The first term represents the closed non-uniform rational B-spline. The coordinates of the control points and They are nodes The upper and lower boundary values, This represents the total number of control points for a closed, non-uniform rational B-spline. ; in, This represents the coordinates of the center point of a closed, non-uniform rational B-spline. Let x and y represent the x and y coordinates of the center point of the closed non-uniform rational B-spline, respectively. The first term represents the closed non-uniform rational B-spline. control points to distance, Indicate control points and The angle between the line connecting them and the vertical axis of the coordinate system. , Let represent the coordinates of the first control point of the closed non-uniform rational B-spline. The first term represents the closed non-uniform rational B-spline. The coordinates of the control points This indicates transpose processing.
4. The design method for a multifunctional concentrator structure for a space solar power station according to claim 1, characterized in that, The process of obtaining the structural performance and thermal performance of the support layer using the finite element method based on the topology and the layered configuration information of the concentrator includes: The topology was discretized into multiple triangular elements using the finite element method. Based on the multiple triangular elements, the structural-thermal coupling effect is solved using the finite element equilibrium equation to obtain the structural performance and thermal performance of the support layer.
5. The design method for a multifunctional concentrator structure for a space solar power station according to claim 4, characterized in that, The finite element equilibrium equation is expressed as: ; in, This represents the design variables used in a closed, non-uniform rational B-spline. Indicates design variables Global stiffness matrix of the lower concentrator support layer. Indicates the performance of the supporting layer structure. Indicates the thermal properties of the support layer. This represents the mechanical load vector of the triangular element. Indicates design variables Global thermal stiffness matrix of the lower concentrator support layer Represents the thermal load vector of the triangular element; ; The stiffness matrix of the triangular element is represented. This represents the total number of triangular elements obtained from the discretization. The discrete result is the first Triangular units, The design domain of the triangular element. This represents the strain-displacement matrix of the triangular element. Represent design variables The constitutive matrix of the corresponding triangular element, Indicates taking the conjugate. This represents the thermal stiffness matrix of the triangular element. This represents the temperature-gradient matrix of the triangular element. Indicates design variables Thermal conductivity of the lower support layer This indicates transpose processing.
6. The design method for a multifunctional concentrator structure for a space solar power station according to claim 1, characterized in that, The pre-constructed multi-objective optimization model is expressed as follows: ; in, Indicates definition, This indicates minimization. Indicates constraints. This represents the current set of concentrator parameters defined by design variables. This represents the coordinates of the center point of a closed, non-uniform rational B-spline. Let x and y represent the x and y coordinates of the center point of the closed non-uniform rational B-spline, respectively. Corresponding to the first A closed non-uniform rational B-spline control point to distance, This indicates transpose processing. Indicates in The value of the objective function under the given conditions, Indicates in Mean square error of the structural performance of the support layer in the lower vertical direction. Indicates in Maximum thermal performance of the lower support layer and These represent the global stiffness matrix and global thermal conductivity matrix of the concentrator support layer, respectively. Indicates the performance of the supporting layer structure. Indicates the thermal properties of the support layer. This represents the mechanical load vector of the triangular element. This indicates the heat flow into the support layer. The design domain of the triangular element. This represents the predefined volume fraction of the support layer.
7. A multifunctional concentrator structure design device for a space solar power station, used to implement the multifunctional concentrator structure design method for a space solar power station as described in claims 1-6, characterized in that, The multifunctional concentrator structure design device for the space solar power station includes: an acquisition unit, a topology construction unit, a calculation unit, a loop unit, and an optimization processing unit; The acquisition unit is used to: acquire predefined concentrator layer configuration information and photovoltaic panel configuration information; the concentrator layer configuration information includes: reflective film configuration information, support layer configuration information and heat dissipation layer configuration information; The topology construction unit is used to: construct the topology of the concentrator support layer using the support layer configuration information and the closed non-uniform rational B-spline method; wherein, different design variables are used for the closed non-uniform rational B-spline in each iteration. The computing unit is used to: obtain the structural performance and thermal performance of the support layer using the finite element method based on the topology and the layered configuration information of the concentrator; The calculation unit is also used to: obtain updated layer configuration information using the performance of the support layer structure, and calculate the optical performance of the concentrator using the updated layer configuration information and the photovoltaic panel configuration information; The loop unit is used to: repeatedly execute the processing from the topology building unit to the computing unit until the preset number of iterations is reached, and take the results of the topology building unit and computing unit corresponding to each iteration as a set of concentrator parameter groups to form multiple concentrator parameter groups; The optimization processing unit is used to: sequentially substitute the multiple concentrator parameter sets into a pre-constructed multi-objective optimization model to optimize and obtain the structural design parameters of the multi-functional concentrator; the pre-constructed multi-objective optimization model takes the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the solution objective, and takes the concentrator layer configuration information corresponding to the minimum mean square error of the support layer structural performance or the highest thermal performance of the support layer as the parameters to be solved.
8. A multifunctional concentrator structure design device for a space solar power station, characterized in that, include: The device includes a processor, a storage medium, and a bus. The storage medium stores machine-readable instructions executable by the processor. When the space solar power station multifunctional concentrator structure design device is running, the processor communicates with the storage medium via the bus. The processor executes the machine-readable instructions to perform the steps of the space solar power station multifunctional concentrator structure design method as described in any one of claims 1-6.
Citation Information
Patent Citations
Extensible line focusing space solar power station and method
CN111427384A
Photovoltaic cell array configuration design method based on omega space solar power station
CN115809545A