CN105509339B - A kind of scope of freedom Opticai Concentrating System With Secondary Reflection efficiently changed for solar heat/electricity - Google Patents

A kind of scope of freedom Opticai Concentrating System With Secondary Reflection efficiently changed for solar heat/electricity Download PDF

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CN105509339B
CN105509339B CN201511027925.6A CN201511027925A CN105509339B CN 105509339 B CN105509339 B CN 105509339B CN 201511027925 A CN201511027925 A CN 201511027925A CN 105509339 B CN105509339 B CN 105509339B
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secondary mirror
point
receiver
axis
vector
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夏新林
孟宪龙
孙创
艾青
陈学
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Harbin Institute of Technology
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24SSOLAR HEAT COLLECTORS; SOLAR HEAT SYSTEMS
    • F24S23/00Arrangements for concentrating solar-rays for solar heat collectors
    • F24S23/70Arrangements for concentrating solar-rays for solar heat collectors with reflectors
    • F24S23/71Arrangements for concentrating solar-rays for solar heat collectors with reflectors with parabolic reflective surfaces
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24SSOLAR HEAT COLLECTORS; SOLAR HEAT SYSTEMS
    • F24S20/00Solar heat collectors specially adapted for particular uses or environments
    • F24S20/20Solar heat collectors for receiving concentrated solar energy, e.g. receivers for solar power plants
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01LSEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
    • H01L31/00Semiconductor devices sensitive to infrared radiation, light, electromagnetic radiation of shorter wavelength or corpuscular radiation and specially adapted either for the conversion of the energy of such radiation into electrical energy or for the control of electrical energy by such radiation; Processes or apparatus specially adapted for the manufacture or treatment thereof or of parts thereof; Details thereof
    • H01L31/04Semiconductor devices sensitive to infrared radiation, light, electromagnetic radiation of shorter wavelength or corpuscular radiation and specially adapted either for the conversion of the energy of such radiation into electrical energy or for the control of electrical energy by such radiation; Processes or apparatus specially adapted for the manufacture or treatment thereof or of parts thereof; Details thereof adapted as photovoltaic [PV] conversion devices
    • H01L31/042PV modules or arrays of single PV cells
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24SSOLAR HEAT COLLECTORS; SOLAR HEAT SYSTEMS
    • F24S23/00Arrangements for concentrating solar-rays for solar heat collectors
    • F24S23/70Arrangements for concentrating solar-rays for solar heat collectors with reflectors
    • F24S2023/87Reflectors layout
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/40Solar thermal energy, e.g. solar towers
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/50Photovoltaic [PV] energy

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  • Photovoltaic Devices (AREA)

Abstract

A kind of scope of freedom Opticai Concentrating System With Secondary Reflection efficiently changed for solar heat/electricity, is related to a kind of condenser system efficiently changed for solar heat/electricity.Inlet area the present invention is to solve the heat absorption cavity of current traditional solar energy dish-style lens system is limited, it is impossible to receive the energy of whole hot spots, it can be intercepted, cause the technical problem of the waste of resource.System of the invention is made up of a secondary mirror, secondary mirror and receiver;One secondary mirror, secondary mirror and receiver are axially symmetric structures, and a secondary mirror, secondary mirror and receiver three are coaxial;Receiver is made up of heat dump and Condensation photovoltaic battery plate and flange, and Condensation photovoltaic battery plate is arranged on the outside of flange;The determination mode of the free form surface of secondary mirror is as follows:First, initial and impact point is discrete;2nd, the solution of secondary mirror free form surface discrete point;3rd, secondary mirror curved surface is drawn.The present invention is applied in field of solar energy.

Description

A kind of scope of freedom Opticai Concentrating System With Secondary Reflection efficiently changed for solar heat/electricity
Technical field
The present invention relates to a kind of condenser system efficiently changed for solar heat/electricity.
Background technology
With continuing to develop for precise machine machining, and newborn 3D printing technique arrival so that advanced optics The design of system becomes more high efficient and flexible, due to the relatively conventional mode of free form surface with design freedom higher and flexibly Space layout so that the design of optical system is simplified, and makes it have the advantages such as compact conformation, high usage and energy-conservation. Different with traditional optical system, scope of freedom type light path system does not have certain specific face type equation, it is impossible to public using equation Formula is defined to it, and free form surface is often to be made up of many spatial points, afterwards by non-uniform rational B-spline (NURBS) Curve or other manner are attached the final acquisition space face shape of reconstruct.The technology, using little, still has in field of solar energy It is to be developed.The Gauss energy flow distribution that traditional solar energy dish-style lens system is obtained, is characterized in be flowed closer to center position Value is higher, in the outer part can the aobvious reduction of lumen.In actual applications, it is to ensure sealing and security, solar energy heat absorbing cavity enters Open area is limited, can not many times receive the energy of whole hot spots, therefore it can be intercepted, and casts out the aggregation light in outside Spot energy, causes the waste of resource.
The content of the invention
Inlet area the present invention is to solve the heat absorption cavity of current traditional solar energy dish-style lens system is limited, it is impossible to The energy of whole hot spots is received, it can be intercepted, cause the technical problem of the waste of resource, and provide a kind of for too The scope of freedom Opticai Concentrating System With Secondary Reflection of positive energy heat/efficient conversion of electricity.
It is of the invention to use scope of freedom type card for the scope of freedom Opticai Concentrating System With Secondary Reflection that solar heat/electricity is efficiently changed Plug Green's reflection lens system, is made up of a secondary mirror, secondary mirror and receiver;One secondary mirror, secondary mirror and receiver are axles pair Claim structure, and a secondary mirror, secondary mirror and receiver three are coaxial;One secondary mirror and secondary mirror are connected by support, a secondary mirror it is recessed Face is fixed on support towards secondary mirror, receiver, and support is arranged on the axis of a secondary mirror, secondary mirror and receiver three; Receiver is made up of heat dump and Condensation photovoltaic battery plate and flange, and flange is arranged on the optical window end of heat dump, optically focused Photovoltaic battery panel is arranged on the outside of flange, and the optical window of heat dump is towards secondary mirror;Heat dump is cylinder, condensation photovoltaic Cell panel is hollow ring;
One secondary mirror uses traditional solar energy dish-style parabolic mirror, and secondary mirror is a reflection for free form surface form Minute surface, the determination mode of the free form surface of secondary mirror is as follows:
First, initial and impact point is discrete:
Determine the size of a secondary mirror and receiver, computing formula is as follows:
w(Rmax 2-Rmin 2)/CG=(rmax 2-rmin 2) (1),
W is the occupation ratio of condensation photovoltaic subsystem, CGIt is the geometric concentrating ratio of condensation photovoltaic subsystem, RmaxIt is a secondary mirror Outer radii, RminIt is the inner radii of a secondary mirror, rmaxIt is the outer radii of Condensation photovoltaic battery plate in receiver, rminIt is The inner radii of the Condensation photovoltaic battery plate in receiver, Rmin≥rmax, wherein five is known quantity, you can obtain the 6th Amount, it is determined that the size of a secondary mirror and receiver;
Three-dimensional cartesian coordinate system (x, y, z) is set up, origin O is the intersection point of support and a secondary mirror, and z-axis is by original along support Point points to the axis in secondary mirror direction, and y-axis is parallel to the radius of Condensation photovoltaic battery plate in receiver and is pointed to by origin poly- The axis in light photovoltaic battery panel direction, x-axis be by origin O and the axis vertical with plane where z-axis and y-axis, only take z-axis and Y-axis is calculated for the region of positive number;
N point P is taken on a secondary mirrori,j-1, n is positive integer, and the difference of the y-axis coordinate value of all two neighboring points is equal, i It is the n sequence number of point, i is positive integer, and No. 1 is that y-axis coordinate value is equal to R on a secondary mirrormaxPoint, No. n be a secondary mirror on y-axis sit Scale value is equal to RminPoint, sequence number i is stepped up along No. 1 to No. n, yi,j-1It is the coordinate value in y-axis in this n point, calculates public Formula is as follows:
yi,j-1=y1,j-1-(i-1)×(y1,j-1-yn,j-1)/n (2);
Point Pi,j-1Z-axis coordinate use formula z=y2/ 4f is calculated, and f is the focal length of a secondary mirror;
Determine the light splitting node P on a secondary mirrork,j-1, calculate its y-axis coordinate value yK, j-1, computing formula is as follows:
If the n point P taken on a secondary mirrori,j-1Not comprising light splitting node Pk,j-1, then in the n point on a secondary mirror Look for a y-axis coordinate value and yk,j-1Immediate point Pi,j-1As light splitting node Pk,j-1
M point P is taken on the receiveri,j+1, m is positive integer and m=n, the difference of the y-axis coordinate value of all two neighboring points Equal, i is the m sequence number of point, and i is positive integer, and No. 1 is that y-axis coordinate value is equal to r on receivermaxPoint, sequence number i is along No. 1 It is stepped up to No. m, yi,j+1It is the coordinate value in y-axis in this m point, yk,j+1It is light splitting node Pk,j-1After being reflected through secondary mirror Point P on the receiverk,j+1In the coordinate value of y-axis, yk,j+1Equal to rmin, remaining the m-1 y of pointi,j+1Computing formula is as follows:
2nd, the solution of secondary mirror free form surface discrete point:
Setting Pi,jThe point P on a mirror is mapped to for solar irradiationi,j-1Reflex to corresponding point, θ in secondary mirroriIt is Pi,jIt is right The reflection half-angle answered, θiCalculation it is as follows:
WithDifference representation vectorAnd vectorUnit vector;
It is point Pi,jNormal vector,Obtained by following formula:
Matrix Rot (x, θi) be:
Point P1,jCoordinate be known quantity, its normal vectorAlso can obtain accordingly,
Normal vectorReverse extending line for vectorTwo neighboring normal vectorWithCorresponding reverse extending line VectorAnd vectorIntersection point be Ci-1, order vectorThat is following formula:
ti-1And tiIt is respectively vectorialAnd vectorArgument, tiThat is point Pi,jTo point CiLength, ti-1That is point Pi-1,jArrive Point Ci-1Length;
Pi,jIt is expressed from the next:
λiIt is vectorMould;
By in formula (5) (7) (9) substitution (6), drawWith parameter lambdaiMonotropic function, in substituting into formula (8), with ti-1 And tiIt is unknown number, obtains function:
Point Ci-1Coordinate be:
Point C is drawn during formula (10) is substituted into (11)i-1Coordinate, then will point Ci-1Coordinate and formula (9) substitute into formula (12), you can try to achieve λiValue, by λiValue substitute into formula (9), you can try to achieve Pi,jCoordinate;
3rd, secondary mirror curved surface is drawn:By Pi,jCoordinate using non-homogeneous B spline curve connection reconstruct obtain it is secondary Mirror free curve, draws secondary mirror free curve, a secondary mirror and receiver, by curve ring with the three-dimensional constructing function of graphics software Rotated around z-axis, obtained three-dimensional free surface.
Particular location of the receiver of the invention on support can be adjusted voluntarily according to actual needs, regulation receiver Change in location can cause that the free form surface of secondary mirror is solved again.
Advantages of the present invention:
1st, gross energy utilization rate and high conversion efficiency
The skew ray vector transmission principle that the present invention is used can be best suitable for according to the concrete condition that can flow receiving plane Energy flow distribution, heat dump will obtain a secondary mirror reflection peak value can flow highest part energy, Condensation photovoltaic battery plate connects Receive the energy of remainder, and optimization design by means of secondary scope of freedom mirror obtains the energy flow distribution of homogenization, cell panel and heat absorption The mounting flange of device causes that as far as possible many energy are effectively converted by minimum energy, the system is obtained;
2nd, manufacture processing cost is low
A secondary mirror of the invention so only needs the smaller secondary mirror of fabrication design area accordingly using traditional dish-style collector , save processing and manufacturing cost;
3rd, security and reliability is strong
Concentration photovoltaic system is often that solar heat/Electricity Federation closes the thinnest in the case of Land use models, especially high power concentrator Link that is weak, being easiest to damage, this method realizes the homogenization energy flow distribution of concentration photovoltaic system, system greatly improved Security and reliability;
4th, design freedom is high
Based on skew ray vector transmission method for designing proposed by the present invention, can be such as suitable according to the particular demands of user The key elements such as any receiving plane position, light splitting ratio, prefocus stream size and uniformity are answered to obtain adaptability structured parameter, it is ensured that System running state is optimal, and design freedom is high.
This method is the incident ray being based in universal significance, and unconventional mode (must be parallel to optical axis incidence Ray vectors) solved, the method derives relational expression using basic vector correlation, i.e. mirror reflection law and law vector matrix Solved, possessed good universality, can adapt to any receiving plane position, light splitting ratio, prefocus stream size and uniform Many parameter requirements such as property.
Brief description of the drawings
Fig. 1 is the scope of freedom Opticai Concentrating System With Secondary Reflection efficiently changed for solar heat/electricity in specific embodiment two Schematic diagram, 1 is a secondary mirror, and 2 is secondary mirror, and 4 is heat dump, and 3 is Condensation photovoltaic battery plate;
Fig. 2 is the upward view of receiver in specific embodiment two, and 4 is heat dump, and 3 is Condensation photovoltaic battery plate;
Fig. 3 is the scope of freedom Opticai Concentrating System With Secondary Reflection efficiently changed for solar heat/electricity in specific embodiment two Optical schematic diagram, 1 is a secondary mirror, and 2 is secondary mirror, and 4 is heat dump, and 3 is Condensation photovoltaic battery plate;
Fig. 4 is the optical schematic diagram of secondary mirror in specific embodiment two, and 2 is secondary mirror;
Fig. 5 is the light transmission path figure of experiment two, and 2 is secondary mirror;
Fig. 6 is the light transmission path figure of experiment three, and 2 is secondary mirror;
Fig. 7 is receiver aggregation energy flow distribution cloud atlas in experiment one, and 3 is Condensation photovoltaic battery plate, and 4 is heat dump, and 6 is to inhale The center of circle of hot device.
Specific embodiment
Specific embodiment one:Present embodiment is a kind of scope of freedom secondary counter efficiently changed for solar heat/electricity Condenser system is penetrated, using scope of freedom type Cassegrain's reflection lens system, is made up of a secondary mirror 1, secondary mirror 2 and receiver;One Secondary mirror 1, secondary mirror 2 and receiver are axially symmetric structures, and a secondary mirror 1, secondary mirror 2 and receiver three are coaxial;One secondary mirror 1 Connected by support 5 with secondary mirror 2, towards secondary mirror 2, receiver is fixed on support 5 for the concave surface of a secondary mirror 1, and support 5 is set On the axis of a secondary mirror 1, secondary mirror 2 and receiver three;Receiver is by heat dump 4 and Condensation photovoltaic battery plate 3 and method Orchid composition, flange is arranged on the optical window end of heat dump 4, and Condensation photovoltaic battery plate 3 is arranged on the outside of flange, heat dump 4 Optical window towards secondary mirror 2;Heat dump 4 is cylinder, and Condensation photovoltaic battery plate 3 is hollow ring;
One secondary mirror uses traditional solar energy dish-style parabolic mirror, and secondary mirror is a reflection for free form surface form Minute surface, the determination mode of the free form surface of secondary mirror is as follows:
First, initial and impact point is discrete:
Determine the size of a secondary mirror and receiver, computing formula is as follows:
w(Rmax 2-Rmin 2)/CG=(rmax 2-rmin 2) (1),
W is the occupation ratio of condensation photovoltaic subsystem, CGIt is the geometric concentrating ratio of condensation photovoltaic subsystem, RmaxIt is a secondary mirror Outer radii, RminIt is the inner radii of a secondary mirror, rmaxIt is the outer radii of Condensation photovoltaic battery plate in receiver, rminIt is The inner radii of the Condensation photovoltaic battery plate in receiver, Rmin≥rmax, wherein five is known quantity, you can obtain the 6th Amount, it is determined that the size of a secondary mirror and receiver;
Three-dimensional cartesian coordinate system (x, y, z) is set up, origin O is the intersection point of support and a secondary mirror, and z-axis is by original along support Point points to the axis in secondary mirror direction, and y-axis is parallel to the radius of Condensation photovoltaic battery plate in receiver and is pointed to by origin poly- The axis in light photovoltaic battery panel direction, x-axis be by origin O and the axis vertical with plane where z-axis and y-axis, only take z-axis and Y-axis is calculated for the region of positive number;
N point P is taken on a secondary mirrori,j-1, n is positive integer, and the difference of the y-axis coordinate value of all two neighboring points is equal, i It is the n sequence number of point, i is positive integer, and No. 1 is that y-axis coordinate value is equal to R on a secondary mirrormaxPoint, No. n be a secondary mirror on y-axis sit Scale value is equal to RminPoint, sequence number i is stepped up along No. 1 to No. n, yi,j-1It is the coordinate value in y-axis in this n point, calculates public Formula is as follows:
yi,j-1=y1,j-1-(i-1)×(y1,j-1-yn,j-1)/n (2);
Point Pi,j-1Z-axis coordinate use formula z=y2/ 4f is calculated, and f is the focal length of a secondary mirror;
Determine the light splitting node P on a secondary mirrork,j-1, calculate its y-axis coordinate value yK, j-1, computing formula is as follows:
If the n point P taken on a secondary mirrori,j-1Not comprising light splitting node Pk,j-1, then in the n point on a secondary mirror Look for a y-axis coordinate value and yk,j-1Immediate point Pi,j-1As light splitting node Pk,j-1
M point P is taken on the receiveri,j+1, m is positive integer and m=n, the difference of the y-axis coordinate value of all two neighboring points Equal, i is the m sequence number of point, and i is positive integer, and No. 1 is that y-axis coordinate value is equal to r on receivermaxPoint, sequence number i is along No. 1 It is stepped up to No. m, yi,j+1It is the coordinate value in y-axis in this m point, yk,j+1It is light splitting node Pk,j-1After being reflected through secondary mirror Point P on the receiverk,j+1In the coordinate value of y-axis, yk,j+1Equal to rmin, remaining the m-1 y of pointi,j+1Computing formula is as follows:
2nd, the solution of secondary mirror free form surface discrete point:
Setting Pi,jThe point P on a mirror is mapped to for solar irradiationi,j-1Reflex to corresponding point, θ in secondary mirroriIt is Pi,jIt is right The reflection half-angle answered, θiCalculation it is as follows:
WithDifference representation vectorAnd vectorUnit vector;
It is point Pi,jNormal vector,Obtained by following formula: Matrix Rot (x, θi) be:
Point P1,jCoordinate be known quantity, its normal vectorAlso can obtain accordingly,
Normal vectorReverse extending line for vectorTwo neighboring normal vectorWithCorresponding reverse extending line VectorAnd vectorIntersection point be Ci-1, order vectorThat is following formula:
ti-1And tiIt is respectively vectorialAnd vectorArgument, tiThat is point Pi,jTo point CiLength, ti-1That is point Pi-1,jArrive Point Ci-1Length;
Pi,jIt is expressed from the next:
λiIt is vectorMould;
By in formula (5) (7) (9) substitution (6), drawWith parameter lambdaiMonotropic function, in substituting into formula (8), with ti-1 And tiIt is unknown number, obtains function:
Point Ci-1Coordinate be:
Point C is drawn during formula (10) is substituted into (11)i-1Coordinate, then will point Ci-1Coordinate and formula (9) substitute into formula (12), you can try to achieve λiValue, by λiValue substitute into formula (9), you can try to achieve Pi,jCoordinate;
3rd, secondary mirror curved surface is drawn:By Pi,jCoordinate using non-homogeneous B spline curve connection reconstruct obtain it is secondary Mirror free curve, draws secondary mirror free curve, a secondary mirror and receiver, by curve ring with the three-dimensional constructing function of graphics software Rotated around z-axis, obtained three-dimensional free surface.
Specific embodiment two:Present embodiment is with the difference of specific embodiment one:Described receiver is installed With the point of intersection of a secondary mirror 1 on support 5.Other are identical with specific embodiment one.
Specific embodiment three:Present embodiment is with the difference of specific embodiment one or two:Described receiver On support 5 with a secondary mirror 1 at 1/4 for the length of support 5.Other are identical with specific embodiment one or two.
Specific embodiment four:Present embodiment is with the difference of specific embodiment one to three::Described receiver On support 5 with a secondary mirror 1 at 1/3 for the length of support 5.Other are identical with specific embodiment one to three.
Specific embodiment five:Present embodiment is with the difference of specific embodiment one to four::Described receiver On branch support 5 with a secondary mirror 1 at 1/2 for the length of support 5.Other are identical with specific embodiment one to four.
Beneficial effects of the present invention are verified by tests below:
Experiment one:This experiment is the scope of freedom Opticai Concentrating System With Secondary Reflection efficiently changed for solar heat/electricity, using certainly By face type Cassegrain's reflection lens system, it is made up of a secondary mirror 1, secondary mirror 2 and receiver;One secondary mirror 1, secondary mirror 2 and connect It is axially symmetric structure to receive device, and a secondary mirror 1, secondary mirror 2 and receiver three are coaxial;One secondary mirror 1 and secondary mirror 2 pass through support 5 connections, towards secondary mirror 2, receiver is fixed on support 5 for the concave surface of a secondary mirror 1, and support 5 is arranged on a secondary mirror 1, secondary mirror 2 On the axis of receiver three;Receiver is made up of heat dump 4 and Condensation photovoltaic battery plate 3 and flange, and flange is arranged on The optical window end of heat dump 4, Condensation photovoltaic battery plate 3 is arranged on the outside of flange, and the optical window of heat dump 4 is towards secondary Mirror 2;Heat dump 4 is cylinder, and Condensation photovoltaic battery plate 3 is hollow ring;
One secondary mirror uses traditional solar energy dish-style parabolic mirror, and secondary mirror is a reflection for free form surface form Minute surface, the determination mode of the free form surface of secondary mirror is as follows:
First, initial and impact point is discrete:
Determine the size of a secondary mirror and receiver, computing formula is as follows:
w(Rmax 2-Rmin 2)/CG=(rmax 2-rmin 2) (1),
W is the be dominant ratio, C of condensation photovoltaic subsystemGIt is the geometric concentrating ratio of condensation photovoltaic subsystem, RmaxIt is a secondary mirror Outer radii, RminIt is the inner radii of a secondary mirror, rmaxIt is the outer radii of Condensation photovoltaic battery plate in receiver, rminIt is The inner radii of the Condensation photovoltaic battery plate in receiver, Rmin≥rmax, wherein five is known quantity, you can obtain the 6th Amount, it is determined that the size of a secondary mirror and receiver;
Three-dimensional cartesian coordinate system (x, y, z) is set up, origin O is the intersection point of support and a secondary mirror, and z-axis is by original along support Point points to the axis in secondary mirror direction, and y-axis is parallel to the radius of Condensation photovoltaic battery plate in receiver and is pointed to by origin poly- The axis in light photovoltaic battery panel direction, x-axis be by origin O and the axis vertical with plane where z-axis and y-axis, only take z-axis and Y-axis is calculated for the region of positive number;
100 point P are taken on a secondary mirrori,j-1, n is positive integer, the difference phase of the y-axis coordinate value of all two neighboring points Be the n sequence number of point Deng, i, i is positive integer, No. 1 be on a secondary mirror y-axis coordinate value equal to RmaxPoint, No. n be a secondary mirror on y Axial coordinate value is equal to RminPoint, sequence number i is stepped up along No. 1 to No. n, yi,j-1It is the coordinate value in y-axis in this n point, meter Calculate formula as follows:
yi,j-1=y1,j-1-(i-1)×(y1,j-1-yn,j-1)/n (2);
Point Pi,j-1Z-axis coordinate use formula z=y2/ 4f is calculated, and f is the focal length of a secondary mirror;
Determine the light splitting node P on a secondary mirrork,j-1, calculate its y-axis coordinate value yK, j-1, computing formula is as follows:
The 100 point P taken on a secondary mirrori,j-1Not comprising light splitting node Pk,j-1, looked in 100 points on a secondary mirror One y-axis coordinate value and yk,j-1Immediate point P50,j-1As light splitting node Pk,j-1
100 point P are taken on the receiveri,j+1, the difference of the y-axis coordinate value of all two neighboring points is equal, and i is 100 The sequence number of point, i is positive integer, and No. 1 is that y-axis coordinate value is equal to r on receivermaxPoint, sequence number i along No. 1 to No. 100 progressively Increase, yi,j+1It is the coordinate value in y-axis in this 100 points, yk,j+1It is light splitting node Pk,j-1In receiver after being reflected through secondary mirror On point Pk,j+1In the coordinate value of y-axis, yk,j+1Equal to rmin, remaining 99 y of pointi,j+1Computing formula is as follows:
2nd, the solution of secondary mirror free form surface discrete point:
Setting Pi,jThe point P on a mirror is mapped to for solar irradiationi,j-1Reflex to corresponding point, θ in secondary mirroriIt is Pi,jIt is right The reflection half-angle answered, θiCalculation it is as follows:
WithDifference representation vectorAnd vectorUnit vector;
It is point Pi,jNormal vector,Obtained by following formula:
Matrix Rot (x, θi) be:
Point P1,jCoordinate be known quantity, its normal vectorAlso can obtain accordingly,
Normal vectorReverse extending line for vectorTwo neighboring normal vectorWithCorresponding reverse extending Line vectorAnd vectorIntersection point be Ci-1, order vectorThat is following formula:
ti-1And tiIt is respectively vectorialAnd vectorArgument, tiThat is point Pi,jTo point CiLength, ti-1That is point Pi-1,jArrive Point Ci-1Length;
Pi,jIt is expressed from the next:
λiIt is vectorMould;
By in formula (5) (7) (9) substitution (6), drawWith parameter lambdaiMonotropic function, in substituting into formula (8), with ti-1 And tiIt is unknown number, obtains function:
Point Ci-1Coordinate be:
Point C is drawn during formula (10) is substituted into (11)i-1Coordinate, then will point Ci-1Coordinate and formula (9) substitute into formula (12), you can try to achieve λiValue, by λiValue substitute into formula (9), you can try to achieve Pi,jCoordinate;
Table 1 is the relevant parameter for testing a secondary mirror, secondary mirror and receiver in,
Table 1
The outer radii r of Condensation photovoltaic battery plate is drawn by formula 1maxIt is 0.5m.
The coordinate for finally trying to achieve 100 points in secondary mirror by above-mentioned formula is shown in Table 2:
Table 2
3rd, secondary mirror curved surface is drawn:By Pi,jCoordinate using non-homogeneous B spline curve connection reconstruct obtain it is secondary Mirror free curve, draws secondary mirror free curve, a secondary mirror and receiver, by curve ring with the three-dimensional constructing function of graphics software Rotated around z-axis, obtained three-dimensional free surface.
Experiment two:This experiment is 60suns with the geometric concentrating ratio that the difference of experiment one is condensation photovoltaic subsystem, other Known quantity is all.
Experiment three:This experiment is the secondary mirror 3m of receiver distance one with the difference of experiment two, and other known amount is all.
Fig. 5 is the light transmission path figure of experiment two, and 2 is secondary mirror, and Fig. 6 is the light transmission path figure of experiment three, and 2 are Secondary mirror, as can be seen from the figure the concave-convex of secondary mirror free form surface depend primarily on the height of receiver, by secondary mirror After free form surface reflection, aggregation light is divided into two parts, and a part is collected at center and is a little used as high temperature hot-cast socket, Another part is evenly distributed on receiver surrounding and is changed for condensation photovoltaic, and with the increase of receiver height, secondary mirror is certainly Switch to fovea superior by face mirror is gradually convex under.Further, since the size of Condensation photovoltaic battery plate is fixed, with the increasing of receiver height Plus so that light splitting transitional region becomes readily apparent from.
Fig. 7 is receiver aggregation energy flow distribution cloud atlas in experiment one, and 3 is Condensation photovoltaic battery plate, and 4 is heat dump, and 6 is to inhale The center of circle of hot device, light-colored part is to flow stronger region, and black is to flow weaker region, as can be seen from the figure all of Ray vectors distribution all coincides with sets target vector, i.e., focusing energy stream in center converges in the origin of heat dump, condensation photovoltaic Cell panel obtains energy flow distribution then substantially uniformity.Because all heat dump intended recipient vectors all will accurately converge at round dot, make Its center energy stream peak value is very high.
Because secondary free minute surface has deviation in the law vector of transitional region, even for spot light, on receiving plane Light splitting transition region can still receive a part of light, but this part loss less, can be ignored.

Claims (5)

1. it is a kind of for the efficient scope of freedom Opticai Concentrating System With Secondary Reflection changed of solar heat/electricity, it is characterised in that for the sun The scope of freedom Opticai Concentrating System With Secondary Reflection that energy heat/electricity is efficiently changed uses scope of freedom type Cassegrain's reflection lens system, by one Secondary mirror (1), secondary mirror (2) and receiver composition;One secondary mirror (1), secondary mirror (2) and receiver are axially symmetric structures, and one Secondary mirror (1), secondary mirror (2) and receiver three are coaxial;One secondary mirror (1) and secondary mirror (2) are connected by support (5), a secondary mirror (1) towards secondary mirror (2), receiver is fixed on support (5) for concave surface, and support (5) is arranged on a secondary mirror (1), secondary mirror (2) On the axis of receiver three;Receiver is made up of heat dump (4) and Condensation photovoltaic battery plate (3) and flange, flange peace Mounted in the optical window end of heat dump (4), Condensation photovoltaic battery plate (3) is installed in the outside of flange, the optical window of heat dump (4) Mouthful towards secondary mirror (2);Heat dump (4) is cylinder, and Condensation photovoltaic battery plate (3) is hollow ring;
One secondary mirror uses traditional solar energy dish-style parabolic mirror, and secondary mirror is a speculum for free form surface form Face, the determination mode of the free form surface of secondary mirror is as follows:
First, initial and impact point is discrete:
Determine the size of a secondary mirror and receiver, computing formula is as follows:
w(Rmax 2-Rmin 2)/CG=(rmax 2-rmin 2) (1),
W is the occupation ratio of condensation photovoltaic subsystem, CGIt is the geometric concentrating ratio of condensation photovoltaic subsystem, RmaxIt is the outer ring of a secondary mirror Radius, RminIt is the inner radii of a secondary mirror, rmaxIt is the outer radii of Condensation photovoltaic battery plate in receiver, rminIt is receiver In Condensation photovoltaic battery plate inner radii, Rmin≥rmax, wherein five is known quantity, you can obtain the 6th amount, it is determined that The size of one secondary mirror and receiver;
Three-dimensional cartesian coordinate system (x, y, z) is set up, origin O is the intersection point of support and a secondary mirror, and z-axis is referred to by origin along support To the axis in secondary mirror direction, y-axis is parallel to the radius of Condensation photovoltaic battery plate in receiver and points to optically focused light by origin The axis in volt cell panel direction, x-axis is, by origin O and the axis vertical with plane where z-axis and y-axis, only to take z-axis and y-axis For the region of positive number calculates;
N point P is taken on a secondary mirrori,j-1, n is positive integer, and the difference of the y-axis coordinate value of all two neighboring points is equal, and i is n The sequence number of individual point, i is positive integer, and No. 1 is that y-axis coordinate value is equal to R on a secondary mirrormaxPoint, No. n be a secondary mirror on y-axis coordinate value Equal to RminPoint, sequence number i is stepped up along No. 1 to No. n, yi,j-1It is the coordinate value in y-axis in this n point, computing formula is such as Under:
yi,j-1=y1,j-1-(i-1)×(y1,j-1-yn,j-1)/n (2);
Point Pi,j-1Z-axis coordinate use formula z=y2/ 4f is calculated, and f is the focal length of a secondary mirror;
Determine the light splitting node P on a secondary mirrork,j-1, calculate its y-axis coordinate value yK, j-1, computing formula is as follows:
N > k > 1,
If the n point P taken on a secondary mirrori,j-1Not comprising light splitting node Pk,j-1, then one is looked in the n point on a secondary mirror Y-axis coordinate value and yk,j-1Immediate point Pi,j-1As light splitting node Pk,j-1
M point P is taken on the receiveri,j+1, m is positive integer and m=n, the difference phase of the y-axis coordinate value of all two neighboring points Be the m sequence number of point Deng, i, i is positive integer, No. 1 be on receiver y-axis coordinate value equal to rmaxPoint, sequence number i is along No. 1 to m Number it is stepped up, yi,j+1It is the coordinate value in y-axis in this m point, yk,j+1It is light splitting node Pk,j-1Connect after being reflected through secondary mirror Receive the point P on devicek,j+1In the coordinate value of y-axis, yk,j+1Equal to rmin, remaining the m-1 y of pointi,j+1Computing formula is as follows:
2nd, the solution of secondary mirror free form surface discrete point:
Setting Pi,jThe point P on a mirror is mapped to for solar irradiationi,j-1Reflex to corresponding point, θ in secondary mirroriIt is Pi,jIt is corresponding Reflection half-angle, θiCalculation it is as follows:
WithDifference representation vectorAnd vectorUnit vector;
It is point Pi,jNormal vector,Obtained by following formula:
Matrix Rot (x, θi) be:
Point P1,jCoordinate be known quantity, its normal vectorAlso can obtain accordingly,
Normal vectorReverse extending line for vectorTwo neighboring normal vectorWithCorresponding reverse extending line vectorAnd vectorIntersection point be Ci-1, order vector=vectorThat is following formula:
ti-1And tiIt is respectively vectorialAnd vectorArgument, tiThat is point Pi,jTo point CiLength, ti-1That is point Pi-1,jTo point Ci-1Length;
Pi,jIt is expressed from the next:
λiIt is vectorMould;
By in formula (5) (7) (9) substitution (6), drawWith parameter lambdaiMonotropic function, in substituting into formula (8), with ti-1And ti It is unknown number, obtains function:
Point Ci-1Coordinate be:
Point C is drawn during formula (10) is substituted into (11)i-1Coordinate, then will point Ci-1Coordinate and formula (9) substitute into formula (12), λ can be tried to achieveiValue, by λiValue substitute into formula (9), you can try to achieve Pi,jCoordinate;
3rd, secondary mirror curved surface is drawn:By Pi,jCoordinate using non-homogeneous B spline curve connection reconstruct obtain secondary mirror from By curve, secondary mirror free curve, a secondary mirror and receiver are drawn with the three-dimensional constructing function of graphics software, by curve around z Axle is rotated, and obtains three-dimensional free surface.
2. according to claim 1 a kind of for the efficient scope of freedom Opticai Concentrating System With Secondary Reflection changed of solar heat/electricity, It is characterized in that described receiver is arranged on the point of intersection of support (5) and a secondary mirror (1).
3. according to claim 1 a kind of for the efficient scope of freedom Opticai Concentrating System With Secondary Reflection changed of solar heat/electricity, It is characterized in that it is at the 1/4 of support (5) length that described receiver is arranged on support (5) with a secondary mirror (1) distance.
4. according to claim 1 a kind of for the efficient scope of freedom Opticai Concentrating System With Secondary Reflection changed of solar heat/electricity, It is characterized in that it is at the 1/3 of support (5) length that described receiver is arranged on support (5) with a secondary mirror (1) distance.
5. according to claim 1 a kind of for the efficient scope of freedom Opticai Concentrating System With Secondary Reflection changed of solar heat/electricity, It is characterized in that it is at the 1/2 of support (5) length that described receiver is arranged on support (5) with a secondary mirror (1) distance.
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