An optimization method for a non-symmetrical parabolic and hyperbolic combined concentrator

Abstract

The present application relates to the technical field of concentrator, in particular to a kind of optimization method of asymmetric paraboloid and hyperboloid combined concentrator.The method includes the following steps: S1, the concentrator includes left CHC part and right CPC part, in the CHC part, asymmetric hyperboloid design is used, multiple equations are solved simultaneously to obtain the geometric parameters of CHC;S2, in the CPC part, asymmetric paraboloid design is used, according to the standard equation and asymmetric equation set of composite paraboloid, asymmetric concentrator parameters are obtained by solving;S3, according to the solving results of multiple equations, the standard equation and asymmetric equation set of composite paraboloid, the receiving half-angle of concentrator and the concentrator concentration efficiency of asymmetric concentrator and CPC concentrator are compared.The present application provides a kind of optimization method of asymmetric paraboloid and hyperboloid combined concentrator, by asymmetric paraboloid and hyperboloid combination, both increase the receiving half-angle of concentrator, and improve the concentrator concentration efficiency.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of concentrators, in particular to an optimization method of a concentrator combining asymmetric parabolic surfaces and hyperbolic surfaces. BACKGROUND

[0002] In current concentrating photovoltaic and photothermal systems, the design of concentrators is a key link to improve system performance. Traditional concentrators are mainly divided into CPC and CHC. CPC has good optical concentration efficiency, but its receiving half-angle is small, limiting the energy collection capacity. On the contrary, CHC has a larger receiving half-angle, but the optical concentration efficiency is relatively low. When fixedly installed, the geometric concentration ratio of these two concentrators is inversely proportional to the receiving angle, making it difficult to balance between efficient concentration and wide receiving angle.

[0003] CPC concentrators achieve effective focusing of sunlight through parabolic surface design, but the structure limits the receiving angle of sunlight. Once the solar incidence angle deviates from the symmetry axis of the CPC concentrator, its optical efficiency will rapidly decrease. CHC concentrators, on the other hand, have a larger receiving half-angle through hyperbolic surface design, which can adapt to changes in solar incidence angle to some extent. However, its optical concentration efficiency is lower than that of CPC, affecting the energy conversion efficiency.

[0004] In addition, the traditional symmetrical structure concentrator also has another problem: when the solar incidence angle deviates from the symmetry axis, the optical efficiency will rapidly decrease, limiting the performance of the concentrator in actual application, especially in natural environments where the position of the sun is constantly changing. SUMMARY

[0005] To solve the problems in the prior art, the present application provides an optimization method of a concentrator combining asymmetric parabolic surfaces and hyperbolic surfaces, which increases the receiving half-angle of the concentrator and improves the optical concentration efficiency of the concentrator by combining asymmetric parabolic surfaces and hyperbolic surfaces.

[0006] To achieve the above technical purpose, a technical solution provided by the present application is an optimization method of a concentrator combining asymmetric parabolic surfaces and hyperbolic surfaces, comprising the following steps:

[0007] S1, the concentrator includes a CHC portion on the left side and a CPC portion on the right side, in the CHC portion, an asymmetric hyperbolic surface design is adopted, a plurality of equations including the standard equation of the composite hyperbolic surface, the calculation formula of the geometric concentration ratio CR, the relationship formula of the receiving half-angle, and the calculation formula of the concentrator height are solved to obtain the geometric parameters of the CHC;

[0008] S2, in the CPC portion, an asymmetric parabolic surface design is adopted, and the asymmetric concentrator parameters are obtained by solving the standard equation of the composite parabolic surface and the asymmetric equation set.

[0009] S3, according to the results of solving a plurality of equations, the standard equation of the compound parabolic surface and the asymmetric equation set, comparing the concentrator receiving half-angle and the concentrator concentration efficiency of the asymmetric concentrator and the CPC concentrator.

[0010] In the technical solution, the CHC part adopts an asymmetric hyperboloid design, and the CPC part adopts an asymmetric paraboloid design. The asymmetric structure breaks the shackles of the traditional symmetric design and can more flexibly adjust the optical properties of the concentrator. By simultaneously solving a plurality of equations to obtain the geometric parameters of the CHC and solving the asymmetric concentrator parameters of the CPC part according to the standard equation of the compound parabolic surface and the asymmetric equation set, the concentrator can receive light rays in a wider angle range, effectively increasing the receiving half-angle of the concentrator. The concentrator can capture more sunlight at different times of the day and in different seasons, improving the utilization efficiency of solar energy resources. Through the combination of asymmetric paraboloids and hyperboloids, the focusing path of the light rays is optimized. In the CHC part, the asymmetric hyperboloid design enables the light rays to converge more accurately to the focal point position after reflection, reducing the scattering and loss of the light rays. In the CPC part, the asymmetric paraboloid design further optimizes the reflection and focusing process of the light rays, improving the concentration of the light rays. By comparing the concentrator receiving half-angle and the concentrator concentration efficiency of the asymmetric concentrator and the CPC concentrator, the advantages of the optimization method in improving the concentration efficiency can be intuitively seen. The asymmetric design makes the propagation of light rays inside the concentrator more efficient, enabling more sunlight to be focused on the receiver, thereby improving the overall concentration efficiency of the concentrator and providing higher quality light energy input for the solar energy utilization system, which helps to improve the power generation efficiency or heat energy utilization efficiency of the entire solar energy utilization system.

[0011] The present application is further provided that the geometric parameters of the CHC include the distance of the focal point from the center , the height of the CHC , and the receiving half-angle .

[0012] The present application is further provided that the standard equation of the compound parabolic surface is:

[0013] ;

[0014] The calculation formula of the geometric concentration ratio CR is:

[0015] ;

[0016] The relationship of the receiving half-angle is:

[0017] ;

[0018] The formula for calculating the height of the light collector is:

[0019] ;

[0020] wherein, is the half horizontal axis length, is the half vertical axis length, is the distance from the focus to the center, and CR is the geometric concentration ratio of the CHC, is the receiving half angle, is the height of the CHC, which is also the vertical coordinate of the top endpoint I point.

[0021] The present application is further provided as: the simultaneous equations of the geometric parameters of the CHC are obtained by combining the formula equation of the geometric concentration ratio CR, the relational equation of the receiving half angle, and the formula equation of the height of the light collector:

[0022] ;

[0023] wherein, is the half horizontal axis length, is the distance from the focus to the center, and CR is the geometric concentration ratio of the CHC, is the height of the CHC; by inputting the given light outlet width EG and the geometric concentration ratio CR into the simultaneous equations of the geometric parameters of the CHC, the parameters of the geometric profile of the CHC are obtained.

[0024] The present application is further provided as: the standard equation of the compound parabolic surface is:

[0025] ;

[0026] wherein, the light receiving half angle of the right CPC is , the distance from the vertex to the focus is , and the height of the light collector is ;

[0027] The asymmetric equation set is:

[0028] ;

[0029] wherein, the geometric concentration ratio of the CPC is C, the light receiving half angle of the CPC is , the light outlet width is BF, the parameter of the top endpoint G of the left parabolic line is , the height of the light collector is , the distance from the vertex to the focus is ;

[0030] By inputting the given light outlet width BF and the geometric concentration ratio C into the asymmetric equation set, the parameters of the geometric profile of the CHC are obtained. tG H f .

[0031] The present invention is further configured such that: the comparison of the receiving half-angle and focusing efficiency of the asymmetric concentrator and the CPC concentrator includes: it can be seen that under the same focusing ratio, as the geometric focusing ratio increases, the receiving half-angle of both concentrators gradually decreases, and under the same focusing ratio, the receiving half-angle of the asymmetric concentrator is always greater than that of the CPC. According to the formula for calculating radiation energy, it can be seen that under the same focusing ratio, within the maximum receiving half-angle range, the radiation energy collected by CHC and CPC is less than that of the asymmetric concentrator.

[0032] In this technical solution, the receiving half-angle of the asymmetric concentrator is always larger than that of the CPC concentrator under the same concentration ratio, highlighting the advantage of the asymmetric concentrator in terms of light receiving capability. The larger receiving half-angle means that the asymmetric concentrator can capture sunlight over a wider range of angles, especially when the solar altitude angle changes greatly, it can collect more solar radiation energy and improve the utilization efficiency of solar energy.

[0033] The present invention further specifies that the calculation formula for the maximum receiving half-angle is:

[0034] ;

[0035] Where θ is the angle between EI and the y-axis, which is the maximum receiving half angle, and C is the concentration ratio.

[0036] The present invention further specifies that the formula for calculating the radiant energy is:

[0037] ;

[0038] in, Q CHC , Q CPC The radiation energy collected by CHC and CPC are respectively. I n Direct radiation intensity, , These are the input port areas for CHC and CPC, respectively. , The optical efficiencies of CHC and CPC at different angles are shown respectively.

[0039] The beneficial effects of the present application are: (1) by combining asymmetric parabolic surface and hyperbolic surface, both the receiving half-angle of the concentrator and the concentrating efficiency of the concentrator are increased; (2) the CHC part adopts asymmetric hyperbolic surface design, and the CPC part adopts asymmetric parabolic surface design, the asymmetric structure breaks the shackles of traditional symmetric design, and can more flexibly adjust the optical properties of the concentrator, by solving the geometric parameters of the CHC through simultaneous equations, and solving the asymmetric concentrator parameters of the CPC part according to the standard equation and asymmetric equation group of the compound parabolic surface, the concentrator can receive light in a wider angle range, effectively increasing the receiving half-angle of the concentrator, so that the concentrator can capture more sunlight at different times of the day and in different seasons, and improve the utilization efficiency of solar energy resources. Through the combination of asymmetric parabolic surface and hyperbolic surface, the focusing path of the light is optimized, in the CHC part, the design of asymmetric hyperbolic surface makes the light more accurately converge to the focal point position after reflection, reducing the scattering and loss of light, in the CPC part, the design of asymmetric parabolic surface further optimizes the reflection and focusing process of light, and improves the concentration of light. By comparing the receiving half-angle and concentrating efficiency of the asymmetric concentrator and the CPC concentrator, it can be seen that the optimization method has advantages in improving the concentrating efficiency. The asymmetric design makes the propagation of light in the concentrator more efficient, and can focus more sunlight on the receiver, thereby improving the overall concentrating efficiency of the concentrator, providing higher quality light energy input for the solar energy utilization system, and helping to improve the power generation efficiency or heat energy utilization efficiency of the entire solar energy utilization system. BRIEF DESCRIPTION OF DRAWINGS

[0040] Fig. 1 is a flowchart of the optimization method in the present application;

[0041] Fig. 2 is a schematic diagram of the concentrating principle of CHC in the present application;

[0042] Fig. 3 is a schematic diagram of the concentrating optical efficiency of the asymmetric concentrator, the CPC concentrator and the CHC concentrator in the present application. DETAILED DESCRIPTION

[0043] In order to make the purpose, technical scheme and advantages of the present application clearer, the present application will be further described in detail below in conjunction with the drawings and examples. It should be understood that the specific embodiments described herein are only one of the best embodiments of the present application, which are used to explain the present application and do not limit the protection scope of the present application. All other embodiments obtained by those skilled in the art without creative labor fall within the scope of protection of the present application.

[0044] As Figs. 1 to 3As shown, as an embodiment of the present application, an optimization method of a non-symmetrical parabolic surface combined with a hyperbolic surface concentrator includes the following steps:

[0045] S1, the concentrator includes a left CHC part and a right CPC part, in the CHC part, an asymmetric hyperbolic surface design is adopted, a plurality of equations including the standard equation of the composite hyperboloid, the calculation formula of the geometric concentration ratio CR, the relationship formula of the receiving half-angle and the calculation formula of the concentrator height are solved to obtain the geometric parameters of the CHC;

[0046] S2, in the CPC part, an asymmetric parabolic surface design is adopted, according to the standard equation of the composite parabolic surface and the asymmetric equation set, the asymmetric concentrator parameters are obtained by solving;

[0047] S3, according to the solving results of the plurality of equations, the standard equation of the composite parabolic surface and the asymmetric equation set, the concentrator receiving half-angle and the concentrator concentration efficiency of the asymmetric concentrator and the CPC concentrator are compared.

[0048] In the technical solution, the CHC part adopts an asymmetric hyperbolic surface design, and the CPC part adopts an asymmetric parabolic surface design. The asymmetric structure breaks the shackles of the traditional symmetrical design and can more flexibly adjust the optical properties of the concentrator. By solving the geometric parameters of the CHC through a plurality of equations, and solving the asymmetric concentrator parameters of the CPC part according to the standard equation of the composite parabolic surface and the asymmetric equation set, the concentrator can receive light rays in a wider angle range, effectively increasing the receiving half-angle of the concentrator. The concentrator can capture more sunlight at different times of the day and in different seasons, improving the utilization efficiency of solar energy resources. Through the combination of asymmetric parabolic surface and hyperbolic surface, the focusing path of light is optimized. In the CHC part, the design of the asymmetric hyperbolic surface makes the light rays more accurately converge to the focal point position after reflection, reducing the scattering and loss of light rays. In the CPC part, the design of the asymmetric parabolic surface further optimizes the reflection and focusing process of the light rays, improving the concentration of the light rays. By comparing the concentrator receiving half-angle and the concentrator concentration efficiency of the asymmetric concentrator and the CPC concentrator, the advantages of the optimization method in improving the concentration efficiency can be directly observed. The asymmetric design makes the propagation of light rays inside the concentrator more efficient, which can focus more sunlight on the receiver, thereby improving the overall concentration efficiency of the concentrator and providing higher quality light energy input for the solar energy utilization system, which helps to improve the power generation efficiency or heat energy utilization efficiency of the entire solar energy utilization system.

[0049] It can be understood that the CHC part is a left composite hyperbolic surface part and the CPC part is a right composite parabolic surface part.

[0050] Specifically, the geometric parameters of the CHC include a distance of the focal point from the center , a height of the CHC , and a receiving half-angle .

[0051] Specifically, the standard equation of the composite paraboloid is:

[0052] ;

[0053] The calculation formula of the geometric concentration ratio CR is:

[0054] ;

[0055] The relationship of the receiving half-angle is:

[0056] ;

[0057] The calculation formula of the concentrator height is:

[0058] ;

[0059] wherein, is a horizontal half-axis length, is a vertical half-axis length, is a distance of the focal point from the center, CR is a concentration ratio of the CHC, is a receiving half-angle, is a height of the CHC, and the value is also a vertical coordinate of the top endpoint I point.

[0060] Specifically, the simultaneous geometric concentration ratio CR calculation formula equation, the receiving half-angle relationship equation, and the concentrator height calculation formula equation are obtained to obtain a solving equation group of the geometric parameters of the CHC:

[0061] ;

[0062] wherein, is a horizontal half-axis length, is a distance of the focal point from the center, CR is a concentration ratio of the CHC, is a height of the CHC; by giving the light outlet width EG and the geometric concentration ratio CR, the solving equation group of the geometric parameters of the CHC is brought in to obtain the parameters of the CHC geometric profile.

[0063] Specifically, the standard equation of the composite paraboloid is:

[0064] ;

[0065] wherein, the lighting half-angle of the right CPC is , and the distance from the vertex to the focal point is , the height of the light collector is ;

[0066] The asymmetric equation set is:

[0067] ;

[0068] Wherein, the geometric concentration ratio of the CPC is C, the half-angle of the light collection of the CPC is , the width of the light outlet hole is BF, the parameter of the left parabolic top break G is , the height of the light collector is , and the distance from the vertex to the focus is ;

[0069] By giving the width of the light outlet hole BF and the geometric concentration ratio C, the asymmetric equation set is solved to obtain , , , .

[0070] Specifically, the light collector receiving half-angle and the light collector concentration efficiency of the comparative asymmetric light collector and the CPC light collector include: it is found that under the same concentration ratio, the receiving half-angles of the two light collectors gradually decrease with the increase of the geometric concentration ratio, and the receiving half-angle of the asymmetric light collector is always greater than that of the CPC under the same concentration ratio. According to the radiation energy calculation formula, it is found that under the same concentration ratio, the radiation energy collected by CHC and CPC is less than that of the asymmetric light collector within the range of the maximum receiving half-angle. The receiving half-angle of the asymmetric light collector is always greater than that of the CPC light collector under the same concentration ratio, which highlights the advantage of the asymmetric light collector in receiving light. The larger receiving half-angle means that the asymmetric light collector can capture sunlight within a wider angle range, especially in the case of large change of the solar elevation angle, it can collect more solar radiation energy and improve the utilization efficiency of solar energy.

[0071] Specifically, the calculation formula of the maximum receiving half-angle is:

[0072] ;

[0073] Wherein, is the maximum receiving half-angle of the angle between EI and the y-axis, and C is the concentration ratio.

[0074] Specifically, the radiation energy calculation formula is:

[0075] ;

[0076] Wherein, Q CHC , Q CPCThe radiation energy collected by CHC and CPC are respectively. I n Direct radiation intensity, , These are the input port areas for CHC and CPC, respectively. , The optical efficiencies of CHC and CPC at different angles are shown respectively.

[0077] like Fig. 3 As shown, when the concentration ratio is 2, the asymmetric concentrator also exhibits excellent focusing optical efficiency.

[0078] ;

[0079] ;

[0080] In summary, this demonstrates that asymmetric concentrators possess the wide receiving half-angle characteristic of CHC while also having the higher optical efficiency of CPC, and their energy harvesting capability is better than both.

[0081] The above embodiments, which describe the specific features of the present invention, are only used to further illustrate the present invention and should not be construed as limiting the scope of protection of the present invention. Any non-essential improvements and adjustments made to the present invention by those skilled in the art based on the above description of the invention shall fall within the scope of protection of the present invention.

Claims

1. An optimization method for a concentrator combining asymmetric parabolic and hyperboloid surfaces, characterized in that, Includes the following steps: S1, the concentrator includes a CHC section on the left and a CPC section on the right. The CHC section adopts an asymmetric hyperboloid design. Multiple equations are solved to obtain the geometric parameters of the CHC. The multiple equations include the standard equation of the composite hyperboloid, the calculation formula of the geometric concentration ratio CR, the relationship of the receiving half angle, and the calculation formula of the concentrator height. S2, In the CPC section, an asymmetric parabolic surface design is adopted. Based on the standard equation and asymmetric equation system of the composite parabolic surface, the parameters of the asymmetric concentrator are obtained by solving the equations. S3. Based on the solution results of multiple equations, the standard equation of the composite parabola and the asymmetric equation system, compare the receiving half angle and the concentration efficiency of the asymmetric concentrator and the CPC concentrator. The standard equation for the composite parabola is: ； The half-angle of the light-receiving area of ​​the CPC on the right is... The distance from the vertex to the focus is The height of the light-concentrating beam is ; The asymmetric system of equations is as follows: ； Wherein, the geometric concentration ratio of CPC is C, and the half-angle of CPC is... The width of the light-emitting aperture is BF, and the parameters of the top of the left parabola when the power is off are: The height of the concentrator is The distance from the vertex to the focus is ; By substituting the given aperture width BF and geometric concentration ratio C into the asymmetric equations, the solution is obtained. , , , .

2. The optimization method for a concentrator combining an asymmetric parabolic surface and a hyperboloid according to claim 1, characterized in that, The geometric parameters of the CHC include the distance from the focal point to the center. CHC height and receive half-angle .

3. The optimization method for a concentrator combining an asymmetric parabolic surface and a hyperboloid, as described in claim 2, is characterized in that... The standard equation for the composite parabola is: ； The formula for calculating the geometric concentration ratio (CR) is: ； The relationship for receiving half-angle is: ； The formula for calculating the height of the concentrator is: ； in, The length of the horizontal semi-axis The length of the longitudinal semi-axis Where is the distance from the focal point to the center, and CR is the concentration ratio of CHC. To receive half-width characters, The height of CHC is also the ordinate of the top endpoint I.

4. The optimization method for a concentrator combining an asymmetric parabolic surface and a hyperboloid according to claim 3, characterized in that, By combining the equations for calculating the geometric concentration ratio (CR), the relationship equation for the receiver half-angle, and the equation for calculating the concentrator height, we obtain the set of equations for solving the geometric parameters of the CHC: ； in, The length of the horizontal semi-axis Where is the distance from the focal point to the center, and CR is the concentration ratio of CHC. Let be the height of CHC; given the output aperture width EG and the geometric concentration ratio CR, substitute them into the system of equations for solving the geometric parameters of CHC to obtain the parameters of the CHC geometric profile.

5. The optimization method for a concentrator combining an asymmetric parabolic surface and a hyperboloid according to claim 1, characterized in that, The comparison of the receiving half-angle and focusing efficiency of the asymmetric concentrator and the CPC concentrator includes: it can be seen that under the same focusing ratio, as the geometric focusing ratio increases, the receiving half-angle of both concentrators gradually decreases, and under the same focusing ratio, the receiving half-angle of the asymmetric concentrator is always greater than that of the CPC. According to the formula for calculating radiation energy, it can be seen that under the same focusing ratio, within the maximum receiving half-angle range, the radiation energy collected by both CHC and CPC is less than that of the asymmetric concentrator.

6. The optimization method for a concentrator combining an asymmetric parabolic and hyperboloid surface according to claim 5, characterized in that, The formula for calculating the maximum receiving half-angle is: ； Where θ is the angle between EI and the y-axis, which is the maximum receiving half angle, and C is the concentration ratio.

7. The optimization method for a concentrator combining an asymmetric parabolic and hyperboloid surface according to claim 6, characterized in that, The formula for calculating the radiant energy is: ； in, Q CHC , Q CPC The radiation energy collected by CHC and CPC are respectively. I n Direct radiation intensity, , These are the input port areas for CHC and CPC, respectively. , The optical efficiencies of CHC and CPC at different angles are shown respectively.

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