CN105868464B - A kind of construction method of any massive phased array solar power satellite condenser system model - Google Patents
A kind of construction method of any massive phased array solar power satellite condenser system model Download PDFInfo
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Abstract
The invention discloses a kind of construction methods of any massive phased array solar power satellite condenser system model, and actual demand and image processing techniques is combined to establish primary mirror bus first;The arrangement of primary mirror reflecting mirror is constructed secondly by the Thought of Combination in analytic geometry;Finally effective and reasonable condenser system model is depicted in conjunction with the design selection of secondary mirror, principal focal distance and detection plate.Influence of the present invention in view of reflecting mirror block number, reflection mirror spacing accounting parameter to condenser performance, model, Monte Carlo ray tracking and Optisworks optical simulation are established based on Solidworks, energy-flux density and hot spot uniformity when analysis comparison different value respectively, and then optimization structure parameter best value, finally emulated with the data modeling after optimizing, the condenser system with higher condenser performance is obtained, strong basis has been established in the foundation for Wireless power transmission from now on.
Description
Technical field
The invention belongs to technical field of solar more particularly to a kind of any massive phased array solar power satellite condenser systems
The construction method of model.
Background technique
With the exhaustion of the energy, the space solar technology as renewable energy is gradually shown one's talent, especially space
The research of concentration photovoltaic system.The Meng Xianlong of Harbin Institute of Technology has initially set up the number of symmetric form Opticai Concentrating System With Secondary Reflection
Physical model is learned, the structural parameters of the condenser systems such as theory analysis secondary inclination angle of inclined plane, off-axis condenser inclination angle are to that can flow close
Spending focusing ratio and uniformity influences, and proposes Superiority Parameter combination, and gather to sunlight using ray tracing Monte Carlo Method
Collection transmission process is emulated, and the flux-density distribution characteristic of detection faces is analyzed.The Yang Yang etc. of Xian Electronics Science and Technology University is mentioned
OMEGA type Wireless power transmission condenser system is gone out, it is in the way of the line focus of spherical reflector, and reflecting mirror is one
Remove the sphere of " south poles ", spherical surface uses unidirectional film reflector material, i.e. realization function is reflective in ball, the outer light transmission of ball, main
Reflector is adjusted without control mechanism, to reduce the complexity of Control System Design.The photovoltaic cell of column is located at line
Focal point, posture of the transmitting antenna by four adjustment rope adjustment over the ground.Any large size proposed about U.S. professor Man Jinsi
Phased array solar power satellite SPS-ALPHA scheme, its working principle is that utilizing the hexagon film reflector that largely can individually adjust
Mirror intercepts and captures sunlight, then sunlight is reflexed to secondary mirror.It finally, will be on incident light rays to photovoltaic receiver plate by secondary mirror.
This scheme has been in actual implementation, has a feasibility and maturity relative to other concentration photovoltaic systems, but this side
The specific implementation of case is not made known publicly.
Existing space solar power station generating efficiency is lower.
Summary of the invention
The purpose of the present invention is to provide a kind of building sides of any massive phased array solar power satellite condenser system model
Method, it is intended to solve the problems, such as that space solar power station generating efficiency is lower.
The invention is realized in this way macroscopic analysis knows that the general shape of condenser system is affected to condenser performance,
Primary mirror bus equation is determined with actual demand combination image processing techniques, and micro-analysis knows that the arranged distribution of primary mirror reflecting mirror can
Reinforce the quantity of the catch of sunlight, effective arrangement of reflecting mirror is realized with the Thought of Combination of analytic geometry, in discussion related data
And the secondary mirror, principal focal distance and detection plate size of condenser system are had chosen using the design of Monte Carlo ray trace, it obtains
A kind of construction method of any massive phased array solar power satellite condenser system model, any massive phased array solar energy are defended
The construction method of star condenser system model includes:
Analysis is made to Sigmoid parameter of curve first, the conversion of the actually required and energy transmission according to local power grid
Being closely connected between efficiency obtains the cup height and caliber size of condenser model;In view of condenser model actual height with
There are optimal problems of value between offset, it has been determined that bus is deviated in the case where guaranteeing that height change trend is the faintest
Amount;It is also contemplated that the fat or thin of condenser model influences whether received sunlight total amount, discovery condenser is in the face for receiving sunlight
Product is equivalent to projected area of the condenser in the plane perpendicular to sunlight, so the sum of the projected area at 12 moment of reference with
Variance has determined the fat or thin of condenser;Best primary mirror bus equation is finally obtained;
Secondly know that the arranged distribution of condenser mirrors influences work and the solar energy hair of whole system according to theory analysis
The efficiency in power station, using the Thought of Combination of analytic geometry respectively to the posture tune between same layer reflecting mirror and upper and lower level reflecting mirror
Whole to make constraint, the final position coordinates for establishing every piece of reflecting mirror indicate;
It is last that ray tracing is realized by Monte Carlo Method according to optics geometrical principle, it can thus be concluded that ray tracing equation and light
The light number for lying prostrate receiver board compares the hot spot energy-flux density and the hot spot uniformity on receiver board using model emulation, determines
The selection of secondary mirror and the principal focal distance of condenser, obtain effective and reasonable condenser system model.
Further, every layer of block number of condenser of the condenser system model is 48, and gap accounting is 0.1.
Further, the construction method of any massive phased array solar power satellite condenser system model includes following step
It is rapid:
Step 1, according to the cocktail glass model that professor Man Jinsi proposes, after adding control parameter using Sigmoid curve
Equation be bus, i.e.,Wherein parameter R determines that the bore of condenser cup body, a determine
The height of cup body, b determine that the fat or thin of cup body, c determine the offset of curve;
Effective irradiated area and maximum, variance minimum as b=0.00484;
Bus equation are as follows:
Step 2, primary mirror structural arrangement, the angle of circumference that one piece of reflecting mirror accounts for are q, and circumference is occupied in the gap between plate and plate
Angle is p, and the distance of mirror center point to axis is the radius R of this layer of reflecting mirror, and the side length of one piece of reflecting mirror is L;
When laterally rolling, width shared by one block of plate need to be less than the centers of two boards away from:
2Rtan (α (p+q)/2) < 2Rsin ((p+q)/2);
When pitching movement, the distance of intersection point to one of mirror center axis between two pieces of reflecting mirrors is greater than plate spacing
Half:
WhereinThe relationship of plate spacing and side length is
Simultaneous 2Rtan (α (p+q)/2) < 2Rsin ((p+q)/2),Formula,
The constraint condition to α can be obtained;The coordinate for enabling first block of plate of first layer is (R1 0 H1), and reflecting mirror side length l1With first layer array
Radius R1Between relationship can be obtained by top viewAnd the height of first block of plate is known by bus equationSo and so on first layer i-th (i=1,2 ..., N-1, N) block plate coordinate are as follows:
(R1cos[(i-1)(p+q)],R1sin[(i-1)(p+q)],H1);
For between upper and lower level, the gap between second layer reflecting mirror and first layer reflecting mirror is kept and first layer reflecting mirror
Between gap it is consistent;WhereinThe case where β < 1.
Further, the determination of parameter R, a: the solar energy on known geostationary orbit is a solar constant S
=1367W/m2, by transmission after gross efficiency η=0.19278~0.2754.Assuming that the generated energy that local power grid needs is W=
2GW, then the power that the solar power plant on geostationary orbit is collected into should be W1=W/ η;And space solar is sent out
The condenser radius R in power station meets S π R2=W1;ToI.e. according to real needs
Relatively reasonable value is chosen, takes a=R=1500m herein, guarantees that cup body bore is consistent with height.
Further, the determination of the parameter c: process knows original Sigmoid tracing analysis, poly- when curve approaches -4.5
The height change trend of light device model is the faintest, so obtain offset c=4.5.
Further, the determination of the parameter b: when b value is by the sum of 0 point to 11 points effective irradiated area of condenser, 12
Two evaluation indexes of variance of the effective irradiated area of condenser are carved to portray;In different moments sunlight incidence, condenser is used
Projected area in xoy plane measures the effective area that condenser receives sunlight;0-11 is generated by matlab first
The condenser perspective view of point secondly, extracting the pixel for being converted into the projected image of grayscale image by matlab, and counts respectively
Pixel number count, the count1 of gray value less than 255 in reference picture and target image out, and by the perspective plane at 12 o'clock
Product area=π R2As area of reference, it is known that the projected area of target image isThen from 0 point to 11
The projection gross area of point, 12 moment isWherein i=0,2 ..., 11;Finally, by comparing for several times
Verifying, obtain b value it is different in the case where effective irradiated area and and variance.
Further, the primary mirror structural arrangement:
BC=(1- β) l2, then:
ED=BFsin (30 °)-BCsin (60 °)=d;
The wherein gap of first layer adjacent mirror
The mirror center point consistency from top to bottom that upper layer and lower layer are adjacent is enabled, then being obtained by Pythagorean theorem:
(H1-H2)2+(R1-R2)2=(l1+ β l2)2;
The wherein radius of second layer reflection microscope groupThe height of second laminateSimultaneous
Formula ED=BFsin (30 °)-BCsin (60 °)=d, (H1-H2)2+ (R1-R2)2=(l1+ β l2)2, just solve β and l2Value,
It is counter to bring to obtain R into2、H2, and so on known to the second layer i-th (i=1,2 ..., N-1, N) block plate coordinate are as follows:
In conclusion the coordinate relationship of the coordinate reference first layer of odd-level reflecting mirror, coordinate are as follows:
(RjCos [(i-1) (p+q)], Rjsin[(i-1)(p+q)],Hj);
The coordinate relationship of the coordinate reference second layer of even level reflecting mirror, coordinate are as follows:
(Rjcos[(i-1)(p+q)+(p+q)/2],Rjsin[(i-1)(p+q)+(p+q)/2],Hj);
Wherein j is the number of plies of primary mirror reflecting mirror, and i=1,2 ..., N-1, N is i-th block of plate of jth layer.
Further, secondly concentrator systems simulated solar light first carries out light to random transmitting light modeling
Trace determines that condenser prime focus is (0,0,4500), secondary mirror wherein converging to prime focus by the light that reflecting mirror reflects
Bus isCondenser upper opening radius is 1500m, and lower openings radius is 500m, just
The side length of quadrangle detection plate is 1100m.
The construction method of any massive phased array solar power satellite condenser system model provided by the invention, to Sigmoid
Curvilinear equation adds control parameter, on the basis of meeting current demand, by it is counter push away thought to intercept and capture sunlight total amount it is maximum and
Obtain optimal control parameter;In practical modeling, it is found that the arrangement of reflecting mirror again has an impact condenser performance, so using
The Thought of Combination of analytic geometry represents the position coordinates of reflecting mirror so that in space isolated operation reflecting mirror not by
Under the influence of other reflecting mirrors, it can correctly realize that pose is changed to capture more sunlight;In view of mirror block
The influence of number, reflection mirror spacing accounting parameter to condenser performance establishes model, Monte Carlo ray tracking based on Solidworks
And Optisworks optical simulation, the energy-flux density and hot spot uniformity when analysis comparison different value, and then optimization respectively
Structure parameter best value so that condenser system has higher condenser performance, this for Wireless power transmission from now on foundation
Identify effective and reasonable basis.
Detailed description of the invention
Fig. 1 is the construction method of any massive phased array solar power satellite condenser system model provided in an embodiment of the present invention
Flow chart.
Fig. 2 be it is provided in an embodiment of the present invention it is different in the case where effective irradiated area and with variance schematic diagram;
In figure: the sum of effective irradiated area of a;The effective irradiated area variance of b.
Fig. 3 is same layer reflecting mirror provided in an embodiment of the present invention top view when standing upright.
Fig. 4 is top view when same layer reflecting mirror provided in an embodiment of the present invention is laid flat.
Upper and lower level reflector position overlooks relation schematic diagram when Fig. 5 is β < 1 provided in an embodiment of the present invention.
Fig. 6 is that 1 upper and lower level reflector position of β < provided in an embodiment of the present invention surveys view relation schematic diagram.
Fig. 7 is condenser model schematic provided in an embodiment of the present invention.
Different moments detection plate energy-flux density curve when Fig. 8 is every layer of block number difference of primary mirror provided in an embodiment of the present invention
Figure.
Fig. 9 is the average energy flow curve figure of hot spot of different moments different gap provided in an embodiment of the present invention.
Figure 10 is condenser model schematic provided in an embodiment of the present invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to embodiments, to the present invention
It is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, it is not used to
Limit the present invention.
Application principle of the invention is explained in detail with reference to the accompanying drawing.
As shown in Figure 1, the building side of any massive phased array solar power satellite condenser system model of the embodiment of the present invention
Method the following steps are included:
S101: establish primary mirror bus according to actual needs and in conjunction with image treating first;
S102: the arrangement of reflective hexagonal mirror is secondly constructed using mathematics geometrical thought;
S103: effective and reasonable optically focused system finally is depicted in conjunction with the design selection of secondary mirror, principal focal distance and detection plate
System model.
Application principle of the invention is further described with reference to the accompanying drawing.
1 condenser primary mirror model foundation
1.1 primary mirror bus equations
Equation according to the cocktail glass model that professor Man Jinsi proposes, after control parameter is added using Sigmoid curve
For bus, i.e.,Wherein parameter R determines that the bore (radius) of condenser cup body, a determine
The height of cup body, b determine that the fat or thin of cup body, c determine the offset of curve.So the parameter of bus equation determines most important:
1. the determination of parameter R, a: the solar energy on known geostationary orbit is a solar constant S=1367W/
m2, by transmission after gross efficiency η=0.19278~0.2754.Assuming that the generated energy that local power grid needs is W=2GW, then
The power that solar power plant on geostationary orbit is collected into should be W1=W/ η.And space solar power station is poly-
Light device radius R should meet S π R2=W1.So as toIt can be according to real needs
Relatively reasonable value is chosen, takes a=R=1500m herein, guarantees that cup body bore is consistent with height.
2. the determination of parameter c: by knowing original Sigmoid tracing analysis, the condenser model when curve approaches -4.5
Height change trend it is the faintest, so obtain optimized migration amount c=4.5.
3. the determination of parameter b: the size of b value determines condenser receives the number of sunlight total amount in one day, then b value
It can be commented by the sum of 0 point to 11 points effective irradiated area of condenser, variance two of 12 effective irradiated areas of moment condenser
Valence index is portrayed.Known again in different moments sunlight incidence, can be measured with projected area of the condenser in xoy plane
The effective area of condenser reception sunlight.So, the condenser perspective view of 0-11 point is generated by matlab first, secondly,
The pixel for being converted into the projected image of grayscale image is extracted by matlab, and is counted in reference picture and target image respectively
Pixel number count, the count1 of gray value less than 255, and by the projected area area=π R at 12 o'clock2As the plane of reference
Product, it is known that the projected area of target image isThen from 0 point to 11 point, the projection at 12 moment is total
Area isWherein i=0,2 ..., 11.Finally, it is different to obtain b value by contrast verification for several times
In the case of effective irradiated area and and variance, as shown in Figure 2.
So, as b=0.00484, effective irradiated area and maximum, variance are minimum as seen from the figure.
In conclusion its bus equation are as follows:
1.2 primary mirror structural arrangements
Primary mirror obtained by being rotated by bus is made of numerous reflecting mirrors, and the arrangement between reflecting mirror certainly exists system
About condition.
Within the same layer, there is certain gap, to prevent reflecting mirror in laterally rolling and pitching movement between plate and plate
When influence each other, critical condition is as shown in Figure 3, Figure 4, the angle of circumference that one of reflecting mirror accounts for be q, between plate and plate between
It is p that gap, which occupies angle of circumference, and the distance of mirror center point to axis is the radius R of this layer of reflecting mirror, the side length of one piece of reflecting mirror
For L.
So, when laterally rolling, such as Fig. 3, width shared by one block of plate need to be less than the centers of two boards away from:
2Rtan (α (p+q)/2) < 2Rsin ((p+q)/2) (2)
When pitching movement, the distance of such as Fig. 4, intersection point to one of mirror center axis between two pieces of reflecting mirrors are greater than
The half of plate spacing:
WhereinThe relationship of plate spacing and side length is
Simultaneous (2), (3) formula can obtain the constraint condition to α, then in subsequent design, as long as guaranteeing the constraint item of α
Part, same layer reflecting mirror just will not influence each other when working.The coordinate for enabling first block of plate of first layer is (R1 0 H1), and reflecting mirror side
Long l1With first layer array radius R1Between relationship can be obtained by top viewAnd first is known by bus equation
The height of laminateSo and so on first layer i-th (i=1,2 ..., N-1, N) block plate coordinate are as follows:
(R1cos[(i-1)(p+q)],R1sin[(i-1)(p+q)],H1);
For between upper and lower level, the present invention claims the gaps between second layer reflecting mirror and first layer reflecting mirror to keep and the
Gap between one layer of reflecting mirror is consistent.I.e. geometrical relationship is as shown in figure 5, whereinAnd it is verified, no matter β is greater than 1
The case where being also less than 1 will not influence coordinate representation, and the present invention only introduces β < 1 herein.
Known by the geometrical relationship of Fig. 5BC=(1- β) l2, then:
ED=BFsin (30 °)-BCsin (60 °)=d (4)
The wherein gap of first layer adjacent mirror
Model to simplify the calculation enables the mirror center point consistency from top to bottom that upper layer and lower layer are adjacent.As shown in figure 5, so by
Pythagorean theorem obtains:
(H1-H2)2+(R1-R2)2=(l1+ β l2)2 (5)
The wherein radius of second layer reflection microscope groupThe height of second laminateSimultaneous
Formula (4), (5), can solve β and l2Value, it is counter to bring to obtain R into2、H2, and so on known to i-th (i=1,2 ..., N-1, N) block
The coordinate of plate are as follows:
In conclusion the coordinate relationship of the coordinate reference first layer of odd-level reflecting mirror, coordinate are as follows:
(Rjcos[(i-1)(p+q)],Rjsin[(i-1)(p+q))],Hj);
The coordinate relationship of the coordinate reference second layer of even level reflecting mirror, coordinate are as follows:
(Rjcos[(i-1)(p+q)+(p+q)/2],Rjsin[(i-1)(p+q)+(p+q)/2],Hj);
Wherein j is the number of plies of primary mirror reflecting mirror, and i=1,2 ..., N-1, N is i-th block of plate of jth layer.
Using Monte Carlo ray trace, secondly simulated solar light first carries out light to its random transmitting light modeling
Line trace, in conjunction with simulation analysis, determines that condenser prime focus is wherein converging to prime focus by the light that reflecting mirror reflects
(0,0,4500), secondary mirror bus areAt the same time, condenser upper opening of the present invention half
Diameter is 1500m, and lower openings radius is 500m, and the side length of regular quadrangle detection plate is 1100m, and model foundation is as shown in Figure 7.
2 primary mirror structure parameter optimizings
By above-mentioned geometrical relationship it is found that rows of mirrors column position depends between the block number and reflecting mirror of every layer of reflecting mirror
Spacing accounting parameter, and the arrangement position of reflecting mirror is the deciding factor of condenser performance height.So studying its structure ginseng
Number is most important.
2.1 every layer of reflecting mirror block number optimization
It is referred from control variable thought, in the case where guaranteeing that reflecting mirror gap accounting is certain, when every layer of block number is respectively
36,42,48,54,60 when, to every case application Solidworks modeling, Optisworks optical simulation, can obtain detection
Hot spot energy-flux density value of the plate at each moment, curve graph are as shown in Figure 8:
It finds to increase with the increase hot spot energy-flux density of block number by above-mentioned data analysis, but incrementss are gradually subtracting
It is few, it is also contemplated that the factors such as hot spot uniformity and control mechanism cost are finally determined when every layer of block number of condenser is 48
Effect is best.
The optimization of 2.2 reflecting mirror gap accountings
Similarly, it on the basis of every layer of reflecting mirror block number is 48 pieces, is modeled by Solidworks, Optisworks imitative
Very, it is known that hot spot energy-flux density value of the different gap accounting in different moments, curve are as shown in Figure 9:
By upper figure it is found that with gap accounting increase, the energy-flux density at each moment is reducing, and each gap accounts for
The energy-flux density summation at all moment of ratio is also reducing.It is final to determine when gap accounting is 0.1 most in conjunction with hot spot uniformity
It is excellent.
Application effect of the invention is described in detail below with reference to emulation.
In conjunction with above-mentioned model optimization, and Monte Carlo ray trace following method simulated solar light source is applied, finally established out as schemed
Model shown in 10.Finally, using Optisworks optical simulation, obtaining reflecting mirror block number is 48 pieces, reflecting mirror gap accounting
The hot spot figure of different moments when being 0.1.It is found by simulation analysis, model has certain feasibility, and has 5-6 times of optically focused
Than and the preferable hot spot uniformity.
After the present invention is by design to SPS-ALPHA scheme, modeling and simulating, it is concluded that
Influence of the Sigmoid parameter of curve to model is analyzed, to meet current demand, it is determined that the bus side of primary mirror
Journey has been obtained the arranged distribution situation of reflecting mirror in primary mirror by mathematics geometrical thought, as long as finding first piece of determining first layer
That block plate of plate and the and then second layer can obtain in each piece of reflecting mirror according to reflecting mirror block number and reflecting mirror gap accounting
The coordinate representation of heart position.
On the basis of above-mentioned, the optimization to every layer of reflecting mirror block number and reflecting mirror gap accounting is carried out, to gather with this
The focusing ratio of photosystem is moderate, hot spot is uniform.It finally determines every layer of reflecting mirror block number is 48 pieces, reflecting mirror gap accounting is
The condenser performance of system reaches best when 0.1.
To sum up, to the model emulation after optimization, preferable focusing ratio and the hot spot uniformity have been obtained.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Made any modifications, equivalent replacements, and improvements etc., should all be included in the protection scope of the present invention within mind and principle.
Claims (4)
1. a kind of construction method of any massive phased array solar power satellite condenser system model, which is characterized in that described any
The construction method of massive phased array solar power satellite condenser system model includes:
Actual demand and image processing techniques is combined to establish primary mirror bus first;
The arrangement of primary mirror reflecting mirror is constructed secondly by the Thought of Combination in analytic geometry;
Finally effective and reasonable condenser system model is depicted in conjunction with the design selection of secondary mirror, principal focal distance and detection plate;
Every layer of block number of condenser of the condenser system model is 48, and gap accounting is 0.1;
The construction method of any massive phased array solar power satellite condenser system model the following steps are included:
Step 1, the side according to the cocktail glass model that professor Man Jinsi proposes, after control parameter is added using Sigmoid curve
Journey is bus, i.e.,The wherein radius of parameter R ' decision condenser cup body, a determine the height of cup body
Degree, b determine that the fat or thin of cup body, c determine the offset of curve;
Effective irradiated area and maximum, variance minimum as b=0.00484;
Bus equation are as follows:
Step 2, primary mirror structural arrangement, the angle of circumference that one piece of reflecting mirror accounts for are q, and the angle of circumference that the gap between plate and plate accounts for is
P, the distance of any one layer of mirror center point to axis are the radius R of the reflection mirror array of that corresponding layer, one piece of reflection
The side length of mirror is L;
When laterally rolling, width shared by one block of plate need to be less than the centers of two boards away from:
2Rtan (α (p+q)/2) < 2Rsin ((p+q)/2);
When pitching movement, the distance of intersection point to one of mirror center axis between two pieces of reflecting mirrors is greater than the one of plate spacing
Half:
WhereinThe relationship of plate spacing and side length is
Simultaneous 2Rtan (α (p+q)/2) < 2Rsin ((p+q)/2),Formula can obtain
To the constraint condition of α;The coordinate for enabling first block of plate of first layer is (R1,0,H1), and first layer reflecting mirror side length l1With first layer battle array
Column radius R1Between relationship obtained by top viewAnd known by bus equationFirst layer
The coordinate of i-th block of plate are as follows:
(R1cos[(i-1)(p+q)],R1sin[(i-1)(p+q)],H1);Wherein i=1,2 ..., N-1, N;
For between upper and lower level, the gap between second layer reflecting mirror and first layer reflecting mirror is kept between first layer reflecting mirror
Gap it is consistent;WhereinThe case where;
The primary mirror structural arrangement:
So:
ED=BFsin (30 °)-BCsin (60 °)=d;
The wherein gap of first layer adjacent mirror
The mirror center point consistency from top to bottom that upper layer and lower layer are adjacent is enabled, then being obtained by Pythagorean theorem:
(H1-H2)2+(R1-R2)2=(l1+βl2)2;
WhereinThe radius of microscope group is reflected for the second layer,For the height of the second laminate, simultaneous
Formula ED=BFsin (30 °)-BCsin (60 °)=d, (H1-H2)2+(R1-R2)2=(l1+βl2)2, just solve β and l2Value, instead
Bring to obtain R into2、H2, and so on known to i-th block of plate of the second layer coordinate are as follows:
Wherein i=1,2 ..., N-1,
N;
In conclusion the coordinate relationship of the coordinate reference first layer of odd-level reflecting mirror, coordinate are as follows:
(Rjcos[(i-1)(p+q)],Rjsin[(i-1)(p+q)],Hj);
The coordinate relationship of the coordinate reference second layer of even level reflecting mirror, coordinate are as follows:
(Rjcos[(i-1)(p+q)+(p+q)/2],Rjsin[(i-1)(p+q)+(p+q)/2],Hj);
Wherein j is the number of plies of primary mirror reflecting mirror, and i=1,2 ..., N-1, N is i-th block of plate of jth layer;RjIndicate that jth layer surveys reflection
The radius of microscope group;
Any massive phased array solar power satellite condenser system simulated solar light first to random transmitting light modeling, secondly into
Row ray tracing determines that condenser prime focus is (0,0,4500) wherein converging to prime focus by the light that reflecting mirror reflects,
Secondary mirror bus isCondenser upper opening radius is 1500m, and lower openings radius is
500m, the side length of regular quadrangle detection plate are 1100m.
2. the construction method of any massive phased array solar power satellite condenser system model as described in claim 1, feature
Be, the determination of the parameter R ', a: the solar energy on known geostationary orbit is a solar constant S=1367W/
m2, by transmission after gross efficiency η=0.19278~0.2754;The generated energy that local power grid needs is W=2GW, then the earth
The power that solar power plant on geo-stationary orbit is collected into should be W1=W η;And the condenser of space solar power station half
Diameter R ' meets S π R '2=W1;ToIt needs to choose according to reality relatively reasonable
Value, take a=R '=1500m herein, guarantee that cup body radius is consistent with height.
3. the construction method of any massive phased array solar power satellite condenser system model as described in claim 1, feature
It is, the determination of the parameter c: by knowing original Sigmoid tracing analysis, the condenser model when curve approaches -4.5
Height change trend is the faintest, so obtain offset c=4.5.
4. the construction method of any massive phased array solar power satellite condenser system model as described in claim 1, feature
Be, the determination of the parameter b: b value is had by the sum of 0 point to 11 points effective irradiated area of condenser, 12 moment condensers
Two evaluation indexes of variance of irradiated area are imitated to portray;In different moments sunlight incidence, with condenser in xoy plane
Projected area come measure condenser receive sunlight effective area;It is thrown first by the condenser that matlab generates 0-11 point
Shadow figure, secondly, by matlab extract be converted into grayscale image projected image pixel, and count respectively reference picture and
Pixel number count, the count1 of gray value less than 255 in target image, and by the projected area area=π R ' at 12 o'clock2
As area of reference, it is known that the projected area of target image isThen from 0 point to 11 point, 12 moment
The projection gross area beWherein i=0,2 ..., 11;Finally, obtaining b by contrast verification for several times
Effective irradiated area and and variance in the case that value is different.
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