CN108875216B - Method for calculating relation model between rotation angle of building external sun-shading shutter and indoor illuminance - Google Patents

Method for calculating relation model between rotation angle of building external sun-shading shutter and indoor illuminance Download PDF

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CN108875216B
CN108875216B CN201810637978.7A CN201810637978A CN108875216B CN 108875216 B CN108875216 B CN 108875216B CN 201810637978 A CN201810637978 A CN 201810637978A CN 108875216 B CN108875216 B CN 108875216B
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林景栋
杨琰冰
郑锡
曾宪杰
潘攀
王坤
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Chongqing University
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Abstract

The invention relates to a method for calculating a relation model between a rotation angle of an external sun-shading louver and indoor illuminance of a building, which belongs to the technical field of natural lighting adjustment of the external sun-shading louver and specifically comprises the following steps: 1) determining the area proportion of the vertical projection covered by the shutter; 2) determining a direct transmission; 3) determining a diffuse transmittance; 4) determining an average equivalent reflectivity; 5) determining the initial luminosity of the window; 6) determining the luminosity of the indoor surfaces after the surfaces reflect each other; 7) determining an angle coefficient between the calculation point and each indoor surface; 8) and determining the illuminance of the calculation point. The invention can accurately calculate the illuminance of any indoor point and realize the optimal control of shutter adjustment.

Description

Method for calculating relation model between rotation angle of building external sun-shading shutter and indoor illuminance
Technical Field
The invention belongs to the technical field of natural lighting adjustment of external sun-shading shutters, and relates to a model calculation method for a relation between a rotation angle of an external sun-shading shutter and indoor illuminance of a building.
Background
The building external sun-shading shutter is a complex system and also an important component of an intelligent building, and is rapidly developed due to the huge potential in the aspects of energy conservation and emission reduction and the great improvement of the comfort of residents. The object of the shutter system is the illuminance of a working plane, and the control object is a motor, so that the illuminance model is required to correlate the illuminance variation with the motor rotation angle, and the establishment of an accurate illuminance model is an important basis and basis for selecting a system control strategy, and has important significance.
The comfort level and the building energy consumption of user can greatly be influenced to the regulation mode of tripe, if the tripe is adjusted unreasonablely, not only can lead to the energy consumption to increase, still can influence the popularization of tripe. Most of the existing shutter control modes in the market at present are simple, and a plurality of shutter systems in research cannot be put into practical use, so that the development space of the sun-shading shutter system is huge.
Currently, in the study of the shutter illumination model, the following assumptions are generally made: firstly, neglecting the thickness of the louver blade; secondly, the louver blades are straight and opaque; third, edge effects are ignored; this results in a large difference between the calculated result and the actual sampling result, and a limited reference value. The difficulty of improving the accuracy of the calculation result of the shutter illuminance model is a difficulty in the study of the shutter illuminance model.
Disclosure of Invention
In view of the above, the present invention provides a method for calculating a relationship between rotation angle of an external sunshade louver and indoor illuminance, which takes into account mutual reflection between louver blades and glass, and calculates a relationship between an incident angle and a transmittance of a louver system through a real incident angle or an effective incident angle of directly transmitted light and reflected light.
In order to achieve the purpose, the invention provides the following technical scheme:
the method for calculating the relation model between the rotation angle of the building external sun-shading louver and the indoor illuminance comprises the following steps:
s1: determining specific size parameters of the louver blades;
s2: determining a relational expression of the rotation angle and the shading area of the louver blades according to the specific size parameters of the louver blades, and calculating the area proportion of the vertical projection of the louver blades to the shading part of the louver blades;
s3: calculating the direct transmission rate of the louver blades according to the proportion of the area occupied by the louver shielding part in the vertical projection;
s4: determining a cut-off angle of the straight louver blade according to the specific size parameters of the louver blade and the direct transmission rate of the straight louver blade, and calculating the diffusion transmission rate of the louver blade;
s5: calculating the average equivalent reflectivity of the louver system according to the specific size parameters of the louver blades and the diffusion transmissivity of the louver blades;
s6: calculating the initial luminosity of the window according to the direct transmission rate of the louver blades, the diffusion transmission rate of the louver blades and the average equivalent reflectivity of the louver system;
s7: calculating the luminosity of each indoor inner surface after mutual reflection according to the average equivalent reflectivity of the louver system and the initial luminosity of the window;
s8: calculating the angle coefficient between the calculation point and each indoor inner surface according to the radiation angle coefficient calculation method;
s9: and calculating the illuminance of the calculation point according to the luminosity of the indoor inner surfaces after the mutual reflection and the angle coefficient between the calculation point and each indoor inner surface.
Further, in step S1, the specific dimensional parameters of the louver include:
specific size parameters of the straight louver blade are as follows: the width, the thickness, the distance between the central points of two adjacent louvers and the rotation angle;
the specific size parameters of the arc-shaped louver blades are as follows: radius, center angle, characteristic angle, and rotation angle.
Further, in step S2, the relational expression of the proportion of the area occupied by the louver-shielded portion in the vertical projection of the straight louver is:
Figure BDA0001701371300000021
in the formula, Fb(beta) represents the area proportion of the vertical projection of the louver blade covered by the louver, beta is the rotation angle of the straight louver blade, delta is the thickness of the straight louver blade, and L is the width of the straight louver blade;
the relational expression of the area proportion of the vertical projection of the arc-shaped louver blades covered by the louver is as follows:
Figure BDA0001701371300000022
wherein, FbAnd (beta) represents the area proportion of the vertical projection of the louver blade covered by the louver, beta' is the rotation angle of the arc louver blade, and theta is the central angle of the arc louver blade.
Further, in step S3, the relational expression of the direct transmittance of the straight louver is:
Figure BDA0001701371300000023
in the formula, τdirIndicate the louvre direct transmission, D is the louvre size ratio, and D is δ/L, and L is straight louvre width, and omega is the profile angle, satisfies:
Figure BDA0001701371300000024
wherein α is the solar altitude and γ is the solar azimuth;
the relational expression of the direct transmittance of the arc-shaped louver blades is as follows:
Figure BDA0001701371300000031
wherein the content of the first and second substances,
Figure BDA00017013713000000310
representing the characteristic angle.
Further, in step S4, the relational expression of the diffusion transmittance of the flat louver is:
Figure BDA0001701371300000032
in the formula (I), the compound is shown in the specification,
Figure BDA0001701371300000033
means for indicating hundredDiffuse transmittance of the blades, M being the diffuse illuminance of the sky or ground, μ1And mu2The cut-off angle of the straight louver blade is mu, and mu is the section profile angle of the sky or ground integral interval;
the relation expression of the diffusion transmittance of the arc-shaped louver blades is as follows:
Figure BDA0001701371300000034
of formula (II) to'2And mu'1The cut-off angle of the arc-shaped louver blade is shown, and mu is the section profile angle of the sky or ground integration interval.
Further, in step S5, the average equivalent reflectivity of the louver system satisfies:
Figure BDA0001701371300000035
in the formula, ρbIs the diffuse reflectance of the louver, ρgIs the diffuse reflectance of the glaze.
Further, in step S6, the relational expression of the window initial luminance satisfies:
Figure BDA0001701371300000036
in the formula, M0Indicating the initial luminosity of the window, MoutIs the outdoor illuminance.
Further, in step S7, the luminosity of the indoor surfaces after being reflected by each other satisfies:
Figure BDA0001701371300000037
in the formula, MiIs the luminosity after the surfaces i reflect each other,
Figure BDA0001701371300000038
is the initial luminosity of the surface i, piIs the diffuse reflectance of surface i, FijIs the angular coefficient between surfaces i and j.
Further, in step S8, the angle coefficients between the calculation point and each of the inner surfaces in the room satisfy:
Figure BDA0001701371300000039
in the formula, Fk,iTo calculate the angular coefficient between a point and the inner surface i, u1Is the angle, u, between the normal to the vertical and the line connecting the point on the plane and the point to be calculated2To calculate the angle between the normal to the point and the line between the point on the plane and the point to be calculated, r is the distance between the two points and A is the area of the indoor surface.
Further, in step S9, the illuminance at the calculation point satisfies:
Mk＝∑Fk,i×Mi
in the formula, MkTo calculate the illumination intensity of the spot.
The invention has the beneficial effects that:
1. the invention provides a model calculation method for the relation between the rotation angle of an external sun-shading louver and indoor illuminance of a building, and the accuracy of calculating the illuminance of any indoor point is improved.
2. The invention establishes a relational expression of the rotation angles of the straight louver blades and the arc louver blades and the shading area, thereby obtaining the area proportion of the shaded part of the vertical projection by the louver.
3. The invention establishes a relational expression of direct transmittance of straight louver blades and arc louver blades.
4. The invention establishes a relational expression of the diffusion and the transmittance of the straight louver blades and the arc louver blades.
5. The invention establishes a relational expression of the indoor arbitrary point illuminance.
Drawings
In order to make the object, technical scheme and beneficial effect of the invention more clear, the invention provides the following drawings for explanation:
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a schematic view of the geometric parameters of a flat louver according to an embodiment of the present invention;
FIG. 3 is a schematic view of the geometric parameters of the curved louver blade according to the embodiment of the present invention;
FIG. 4 is a schematic view of the louvres diffusing transmitted light according to an embodiment of the present invention;
FIG. 5 is a schematic view of the louvres diffusing transmitted light according to the embodiment of the present invention.
Detailed Description
Preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
The purpose of the invention is realized by the technical scheme, as shown in figure 1, the specific steps are as follows:
1) determining the shape of the louver blade, determining the specific size parameter of the louver blade, and performing the next connection step 2) if the louver blade is a straight louver blade, and performing the next connection step 5) if the louver blade is an arc louver blade;
2) determining a relational expression of the rotation angle of the straight louver blade and a shading area by taking the specific size parameters of the louver blade obtained in the step 1) as known conditions, so as to obtain the area proportion of the vertical projection covered by the louver;
3) determining the direct transmittance of the straight louver blades by taking the area proportion of the vertical projection shielded by the louvers obtained in the step 2) as a known condition;
4) determining a cut-off angle of the straight louver blade by taking the specific size parameters of the louver blade obtained in the step 1) and the direct transmission of the straight louver blade obtained in the step 3) as known conditions, so as to obtain the diffuse transmission of the straight louver blade, and then performing the step 8);
5) determining a relational expression of the rotation angle of the arc-shaped louver blade and a shading area by taking the specific size parameters of the louver blade obtained in the step 1) as known conditions, so as to obtain the area proportion of the part of the vertical projection, which is shaded by the louver blade;
6) determining the direct transmittance of the arc-shaped louver blades by taking the area proportion of the vertical projection shielded by the louver as a known condition, which is obtained in the step 5);
7) determining the cut-off angle of the arc-shaped louver blade by taking the specific size parameters of the louver blade obtained in the step 1) and the direct transmission of the arc-shaped louver blade obtained in the step 6) as known conditions, thereby obtaining the diffusion transmission of the arc-shaped louver blade
8) Determining the average equivalent reflectivity of the louver system by taking the specific size parameters and the material diffusivity table of the louver blades obtained in the step 1) as known conditions;
9) determining the initial luminosity of the window by taking the direct transmission of the straight louver blade obtained in the step 3), the diffusion transmission of the straight louver blade obtained in the step 4) and the average equivalent reflectivity of the louver system obtained in the step 8), or taking the direct transmission of the arc louver blade obtained in the step 6) and the diffusion transmission of the arc louver blade obtained in the step 7) as known conditions;
10) determining the luminosity of each indoor inner surface after mutual reflection by taking the average equivalent reflectivity of the louver system obtained in the step 8) and the initial luminosity and the luminous equation of the window obtained in the step 9) as known conditions;
11) determining the angular coefficient between the calculation point and each indoor inner surface by using a radiation angular coefficient calculation method as a known condition;
12) and determining the illuminance of the calculation point by using the luminosity obtained by reflecting the inner surfaces in the room obtained in the step 10) and the angular coefficient between the calculation point obtained in the step 11) and each inner surface in the room as known conditions.
As shown in fig. 2, the specific dimensional parameters of the straight louver blade in the step 1) are as follows: the width is L, the thickness is delta, the distance between the central points of two adjacent louvers is L, and the rotation angle is beta.
As shown in fig. 3, the specific dimensional parameters of the arc-shaped louver blade in the step 1) are as follows: radius R, center angle theta, characteristic angle
Figure BDA0001701371300000053
The rotation angle is beta.
The relational expression of the area proportion of the vertical projection of the straight louver blades covered by the louvers in the step 2) is as follows:
Figure BDA0001701371300000051
wherein beta is the rotation angle of the straight louver blade, delta is the thickness of the straight louver blade, and L is the width of the straight louver blade.
The relational expression of the direct transmittance of the straight louver blades in the step 3) is as follows:
Figure BDA0001701371300000052
wherein, taudirIn terms of the direct transmittance of the louver, β is a straight louver rotation angle, D is a louver size ratio, D is δ/L, and Ω is a profile angle, and is expressed as:
Figure BDA0001701371300000061
where α is the solar altitude, γ is the solar azimuth, expressed as:
Figure BDA0001701371300000062
Figure BDA0001701371300000063
wherein the content of the first and second substances,
Figure BDA00017013713000000611
is latitude, ε is solar declination angle, ω is solar hour angle, expressed as:
Figure BDA0001701371300000064
ω＝15(t+Tzone+E-12)-L
where S denotes the number of days from 1 month 1 of the year to the time of day, t denotes the time to be calculated, Tzone denotes the time zone, L is the longitude, and E is the time difference, expressed as:
Figure BDA0001701371300000065
the relational expression of the diffusion transmittance of the straight louver blades in the step 4) is as follows:
Figure BDA0001701371300000066
wherein the content of the first and second substances,
Figure BDA0001701371300000067
is the diffuse transmission of the louvres, M is the diffuse illuminance of the sky or ground, τdirIs the louver direct transmission, mu1And mu2For a straight louver cutoff angle, expressed as:
Figure BDA0001701371300000068
Figure BDA0001701371300000069
the relational expression of the area proportion of the vertical projection of the arc-shaped louver blades covered by the louvers in the step 5) is as follows:
Figure BDA00017013713000000610
wherein, beta' is the rotation angle of the arc-shaped louver blade, and theta is the central angle of the arc-shaped louver blade.
The relational expression of the direct transmittance of the arc-shaped louver blades in the step 6) is as follows:
Figure BDA0001701371300000071
wherein the content of the first and second substances,
Figure BDA00017013713000000712
is the characteristic angle of the arc-shaped louver blade.
The relational expression of the diffusion transmittance of the arc-shaped louver blades in the step 7) is as follows:
Figure BDA0001701371300000072
wherein the content of the first and second substances,
Figure BDA0001701371300000073
is the diffuse transmission of the curved louvres, M is the diffused light illumination of the sky or the ground, τdirIs the direct transmittance of the curved louver blades mu'1And mu'2Is the arc louver blade cut-off angle and is expressed as:
Figure BDA0001701371300000074
Figure BDA0001701371300000075
the relational expression of the average equivalent reflectivity of the louver system in the step 8) is as follows:
Figure BDA0001701371300000076
wherein the content of the first and second substances,
Figure BDA0001701371300000077
is the average equivalent reflectivity, rho, of the shutter systembIs the diffuse reflectance of the louver, ρgIs the diffuse reflectance of the glaze.
The relational expression of the initial luminosity of the window in the step 9) is as follows:
Figure BDA0001701371300000078
wherein M is0Is the initial luminosity of the window, MoutIs the outdoor illuminance, τdir、
Figure BDA0001701371300000079
Direct and diffuse transmission of straight or curved louvres, respectively.
The relational expression of the luminosity after the mutual reflection of all the inner surfaces in the room in the step 10) is as follows:
Figure BDA00017013713000000710
wherein M isiIs the luminosity after the surfaces i reflect each other,
Figure BDA00017013713000000711
is the initial luminosity of the surface i, only the window having the initial luminosity, piIs the diffuse reflectance of surface i, FijIs the angular coefficient between surfaces i and j.
The relational expression of the angle coefficient between the calculation point and each of the indoor inner surfaces in step 11) is:
Figure BDA0001701371300000081
wherein, Fk,iTo calculate the angular coefficient between a point and the inner surface i, u1Is the angle, u, between the normal to the vertical and the line connecting the point on the plane and the point to be calculated2To calculate the angle between the normal to the point and the line between the point on the plane and the point to be calculated, r is the distance between the two points and A is the area of the indoor surface.
The relational expression for calculating the point illuminance in step 12) is as follows:
Mk＝∑Fk,i×Mi
in the formula, MkIndicating the illuminance of the calculation point.
The implementation process of the invention comprises the following steps: 1) determining the area proportion of the vertical projection covered by the shutter; 2) determining a direct transmission; 3) determining a diffuse transmittance; 4) determining an average equivalent reflectivity; 5) determining the initial luminosity of the window; 6) determining the luminosity of the indoor surfaces after the surfaces reflect each other; 7) determining an angle coefficient between the calculation point and each indoor surface; 8) and determining the illuminance of the calculation point.
(1): determining the area proportion of the vertical projection covered by the shutter
The non-standard louver blade with the width L of 21cm, the center thickness of 4cm and the height of the rainwater guide plate of 3cm as shown in the figure 4 is taken, the thickness of the louver blade in the calculation formula is highly replaced by the height of the rainwater guide plate, and the proportion of the occupied area of the vertical projection shielded part by the louver is as follows when the rotation angle is beta:
Fb(β)＝sinβ+0.143cosβ
(2): determining direct transmission
Taking the calculation date of 2 months, 3 days, 10 am, S is 34, t is 10, the calculation place is Chongqing, longitude L is 106.33, latitude
Figure BDA0001701371300000085
29.35, time zone Tzone 8, time difference E-0.0892, solar time angle ω -17.6673, solar declination angle ε -23.3468, solar altitude α 34.6296, solar azimuth γ 19.7957, substituting the known conditions into the profile angle calculation:
Figure BDA0001701371300000082
the known conditions are substituted into the direct transmittance calculation:
Figure BDA0001701371300000083
(3): determining diffuse transmittance
To determine the louver diffusion transmission, it is first necessary to determine the cut-off angle μ1And mu2：
Figure BDA0001701371300000084
Figure BDA0001701371300000091
The known conditions are brought into the diffuse transmittance calculation:
Figure BDA0001701371300000092
(4): determining an average equivalent reflectance
Assuming that each interior surface is a lambertian reflecting surface, the average equivalent diffuse reflectance of the louver system is a function of the louver tilt angle only, calculated as:
Figure BDA0001701371300000093
wherein, according to the material diffusivity table, the louver blade is an aluminum alloy with a bright apricot paint coated on the surface, and the diffuse reflectance rho of the louver bladebIs 0.15, the diffuse reflectance of the glaze is rhogIs 0.8.
(5): determining window initial luminance
The window initial luminosity calculation formula is:
Figure BDA0001701371300000094
wherein M is0Is the initial luminosity of the window, MoutIs the outdoor illuminance, τdir、
Figure BDA0001701371300000095
Direct and diffuse transmission of straight or curved louvres, respectively.
(6): determining luminosity of indoor surfaces after mutual reflection
As shown in fig. 5, the room length is 4m, the width is 4m, the height is 3m, and the luminosity calculation formula after the surfaces in the room reflect each other is:
Figure BDA0001701371300000096
and substituting the initial luminosity of the window into a calculation formula to obtain the luminosity after the mutual reflection of all the surfaces as follows:
Figure BDA0001701371300000097
wherein M is1Is the luminance of the ceiling, M2For floor luminosity, M3Is the luminosity of the window surface, M4And M6Luminosity of both the left and right sides of the window surface, M5Is the face-to-face luminosity of the window.
(7): determining angular coefficients between the calculated points and respective indoor surfaces
Taking the middle point 5 as an example, the angular coefficient is calculated, the vertical height from the ground is 0.75m, and the calculation formula of the angular coefficient with four vertical surfaces is as follows:
Figure BDA0001701371300000101
wherein u is1Is the angle, u, between the normal to the vertical and the line connecting the point on the plane and the point to be calculated2R is the distance between the two points in order to calculate the angle between the normal of the point and the connecting line between the point on the plane and the point to be calculated.
The normal of the ground is in the same direction as the normal of the selected working surface, and the angle coefficient F between the intermediate point 5 and the ground5,2Is 0. From the completeness of the angle coefficient, the calculation formula of the angle coefficient between the middle point 5 and the ceiling is obtained as follows:
F5,1＝1-F5,3-F5,4-F5,5-F5,6-F5,2＝0.496
(8): determining illuminance of a calculation point
The illuminance calculation formula at the intermediate point 5 is as follows:
Figure BDA0001701371300000102
in the same way, the illuminance of other eight points can be obtained
Figure BDA0001701371300000103
Finally, it is noted that the above-mentioned preferred embodiments illustrate rather than limit the invention, and that, although the invention has been described in detail with reference to the above-mentioned preferred embodiments, it will be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the scope of the invention as defined by the appended claims.

Claims (6)

1. The method for calculating the relation model between the rotation angle of the building external sun-shading louver and the indoor illuminance is characterized in that: the method comprises the following steps:
s1: determining specific size parameters of the louver blades;
s2: determining a relational expression of the rotation angle and the shading area of the louver blades according to the specific size parameters of the louver blades, and calculating the area proportion of the vertical projection of the louver blades to the shading part of the louver blades;
s3: calculating the direct transmission rate of the louver blades according to the proportion of the area occupied by the louver shielding part in the vertical projection;
s4: determining a cut-off angle of the straight louver blade according to the specific size parameters of the louver blade and the direct transmission rate of the straight louver blade, and calculating the diffusion transmission rate of the louver blade;
s5: calculating the average equivalent reflectivity of the louver system according to the specific size parameters of the louver blades and the diffusion transmissivity of the louver blades;
s6: calculating the initial luminosity of the window according to the direct transmission rate of the louver blades, the diffusion transmission rate of the louver blades and the average equivalent reflectivity of the louver system;
s7: calculating the luminosity of each indoor inner surface after mutual reflection according to the average equivalent reflectivity of the louver system and the initial luminosity of the window;
s8: calculating the angle coefficient between the calculation point and each indoor inner surface according to the radiation angle coefficient calculation method;
s9: calculating the illuminance of the calculation point according to the luminosity of each indoor inner surface after being reflected mutually and the angle coefficient between the calculation point and each indoor inner surface;
in step S1, the specific dimensional parameters of the louver include:
specific size parameters of the straight louver blade are as follows: the width, the thickness, the distance between the central points of two adjacent louvers and the rotation angle;
the specific size parameters of the arc-shaped louver blades are as follows: radius, center angle, characteristic angle and rotation angle;
in step S2, the relational expression of the area ratio of the vertical projection of the straight louver blade occupied by the louver-shielded portion is:
Figure FDA0002936064900000011
in the formula, Fb(beta) represents the area proportion of the vertical projection of the louver blade covered by the louver, beta is the rotation angle of the straight louver blade, delta is the thickness of the straight louver blade, and L is the width of the straight louver blade;
the relational expression of the area proportion of the vertical projection of the arc-shaped louver blades covered by the louver is as follows:
Figure FDA0002936064900000012
wherein, Fb(beta) represents the area proportion of the vertical projection of the louver blade covered by the louver blade, beta' is the rotation angle of the arc louver blade, and theta is the central angle of the arc louver blade;
in step S3, the relational expression of the direct transmittance of the straight louver is:
Figure FDA0002936064900000021
in the formula, τdirIndicate the louvre direct transmission, D is the louvre size ratio, and D is δ/L, and L is straight louvre width, and omega is the profile angle, satisfies:
Figure FDA0002936064900000022
wherein α is the solar altitude and γ is the solar azimuth;
the relational expression of the direct transmittance of the arc-shaped louver blades is as follows:
Figure FDA0002936064900000023
wherein the content of the first and second substances,
Figure FDA0002936064900000024
representing a characteristic angle;
in step S4, the relational expression of the diffusion transmittance of the straight louvers is:
Figure FDA0002936064900000025
in the formula (I), the compound is shown in the specification,
Figure FDA0002936064900000026
representing the diffuse transmission of the louvres, M being the diffused illumination of the sky or ground, μ1And mu2The cut-off angle of the straight louver blade is mu, and mu is the section profile angle of the sky or ground integral interval;
the relation expression of the diffusion transmittance of the arc-shaped louver blades is as follows:
Figure FDA0002936064900000027
of formula (II) to'2And mu'1The cut-off angle of the arc-shaped louver blade is shown, and mu is the section profile angle of the sky or ground integration interval.
2. The method for calculating the relation model between the rotation angle of the outdoor sun-shading louver and the indoor illuminance of the building as claimed in claim 1, wherein: in step S5, the average equivalent reflectance of the louver system satisfies:
Figure FDA0002936064900000028
in the formula, ρbIs the diffuse reflectance of the louver, ρgIs the diffuse reflectance of the glaze.
3. The method for calculating the relation model between the rotation angle of the outdoor sun-shading louver and the indoor illuminance of the building as claimed in claim 2, wherein: in step S6, the relational expression of the window initial luminance satisfies:
Figure FDA0002936064900000029
in the formula, M0Indicating the initial luminosity of the window, MoutIs the outdoor illuminance.
4. The method for calculating the relation model between the rotation angle of the outdoor sun-shading louver and the indoor illuminance of the building as claimed in claim 3, wherein: in step S7, the luminosity of the indoor inner surfaces after being reflected by each other satisfies:
Figure FDA0002936064900000031
in the formula, MiIs the luminosity after the surfaces i reflect each other,
Figure FDA0002936064900000032
is the initial luminosity of the surface i, piIs the diffuse reflectance of surface i, FijIs the angular coefficient between surfaces i and j.
5. The method for calculating the relation model between the rotation angle of the outdoor sun-shading louver and the indoor illuminance of the building according to claim 4, wherein the method comprises the following steps: in step S8, the angle coefficients between the calculation point and each of the indoor inner surfaces satisfy:
Figure FDA0002936064900000033
in the formula, Fk，iTo calculate the angular coefficient between a point and the inner surface i, u1Is the angle, u, between the normal to the vertical plane and the line between the point on the vertical plane and the point to be calculated2To calculate the angle between the normal to the point and the line between the point on the plane and the point to be calculated, r is the distance between the two points and A is the area of the indoor surface.
6. The method for calculating the relation model between the rotation angle of the outdoor sun-shading louver and the indoor illuminance of the building according to claim 5, wherein the method comprises the following steps: in step S9, the illuminance at the calculation point satisfies:
Mk＝∑Fk，i×Mi
in the formula, MkTo calculate the illumination intensity of the spot.
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