CN106991264B - Method for determining optimal inclination angle of double-sided battery pack based on irradiation quantity of front and back sides - Google Patents
Method for determining optimal inclination angle of double-sided battery pack based on irradiation quantity of front and back sides Download PDFInfo
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Abstract
The invention discloses a method for determining an optimal inclination angle of a double-sided battery assembly based on irradiation quantity of front and back surfaces, which comprises the steps of firstly, determining a geometric relation between a shadow area and a solar position under the shielding of the double-sided battery assembly based on the relation between the inclination angle of the double-sided battery assembly and the solar position, and establishing a relation between a non-shadow area, the shadow area and a back surface visual angle coefficient of the double-sided battery assembly under the shielding of the double-sided battery assembly; then calculating the total solar irradiation intensity of the front side and the back side of the double-sided battery assembly according to the total horizontal plane radiation intensity and the horizontal plane scattered radiation intensity, and establishing the relation between the total solar irradiation intensity of the front side and the back side of the double-sided battery assembly and the inclination angle; and finally, selecting the optimal inclination angle according to the solar total irradiation of the front side and the back side of the double-sided battery pack in one year in a maximized mode. The invention can make better judgment and prediction for the optimal installation inclination angle of the double-sided battery pack.
Description
Technical Field
The invention discloses a method for determining an optimal inclination angle of a double-sided battery assembly based on irradiation quantities of front and back sides, and belongs to the technical field of application of solar photovoltaic systems.
Background
In the solar energy industry, with the rapid development of various solar cells, the types and the number of the solar cells, the power generation efficiency and the like are different day by day, and the double-sided solar cell is no exception. Different from a common single-sided solar cell, the front side and the back side of the double-sided cell module work simultaneously, so that the output power, the power generation amount and the like of the cell are obviously improved. Meanwhile, the double-sided battery assembly enables the installation direction, the attractiveness degree and the like of the battery to have better breakthrough.
The prior art mainly aims at the research of single-sided solar cells, and a plurality of methods related to the traditional front-side radiation quantity determination exist, but the method has a gap in the calculation of the back-side radiation quantity of a double-sided cell module. Therefore, the establishment of a back side radiation dose model of the bifacial cell module and the determination of the optimum tilt angle of the bifacial cell module are critical to the current solar cell development.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a method for determining the optimal inclination angle of a double-sided battery assembly based on the irradiation quantity of the front side and the back side.
In order to solve the technical problem, the invention provides a method for determining the optimal inclination angle of a double-sided battery pack based on irradiation quantity of front and back sides, which is characterized by comprising the following steps of:
1) determining the position relation between the double-sided battery assembly and the sun;
2) determining the geometric relation between a shadow area generated by the double-sided battery assembly on the ground and the position of the sun;
3) calculating the visual angle coefficients of a non-shadow area, a shadow area and the back of the double-sided battery pack which are shielded by the double-sided battery pack;
4) calculating the radiation of the front side and the back side of the double-sided battery assembly, and establishing the relation between the total solar radiation intensity and the inclination angle of the front side and the back side of the double-sided battery assembly;
5) and selecting the optimal inclination angle according to the maximization of the total irradiation quantity of the front side and the back side of the double-sided battery pack within one year.
In the foregoing step 1), the relationship between the double-sided battery assembly and the sun position is:
the double-sided battery assembly is installed in the north-south direction, and the inclined plane of the double-sided battery assembly faces the south in the northern hemisphere, so that the position relation between the double-sided battery assembly and the sun is as follows:
wherein, thetazAt the zenith angle of the sun, thetaiIs the incident angle of the solar ray on the inclined plane, beta is the inclination angle between the inclined plane of the double-sided battery component and the horizontal plane, sigma is the solar declination angle, phi is the latitude,
is the angle of latitude, gammasIs the sun azimuth angle, θsIs the solar altitude angle and satisfies the thetaz+θs＝90°，
σ ═ 23.45sin [360 ° (284+ n)/365], where n is the number of days from month 1 of the year,
In the step 2), the geometric relationship between the shadow area generated on the ground by the double-sided battery assembly and the position of the sun is as follows:
the projection size c of the double-sided battery pack in the width direction on the ground is as follows: c ═ Lsin (90 ° + θ)i)/sin(θi)，
Wherein L is the width of the double-sided battery pack.
In the aforementioned step 3), the first step is carried out,
visual angle coefficient F of back surface and shadow area of double-sided battery packr-shComprises the following steps:
visual angle coefficient F of back and non-shadow area of double-sided battery packr-nshThe calculation is as follows:
Fr-nsh＝Fr-g-Fr-sh
Fr-g＝[1+cos(β)]/2。
in the step 4), the total solar radiation intensity G of the back and the front of the double-sided battery packβComprises the following steps:
Gβ＝Gr+Hu(7)
wherein G isrTotal radiation intensity of the back side of the double-sided battery pack, HuThe total irradiation intensity of the front side of the double-sided battery pack is obtained;
total back irradiation intensity G of double-sided battery assemblyrComprises the following steps:
Gr＝ρ·GHI·(Fr-g-Fr-sh)+ρ·DHI·Fr-sh+DHI·(1-cosβ)/2 (8)
wherein rho is the ground reflectivity, and GHI and DHI are the total irradiation intensity and the scattering irradiation intensity obtained by horizontal plane measurement;
total irradiation intensity H of front side of double-sided battery assemblyuComprises the following steps:
wherein R isbIn order to obtain the direct-radiation conversion coefficient,
In the step 5), the total irradiation I of the front side and the back side of the double-sided battery pack in one yearβComprises the following steps:
wherein G isr,nThe total irradiation intensity of the back of the double-sided battery pack on the nth day; hu,nThe total irradiation intensity of the front side of the double-sided battery pack on the nth day; n is the number of days from month 1 of the year.
The invention achieves the following beneficial effects:
according to the invention, through calculation of the back radiation quantity of the double-sided battery assembly, the radiation quantity of the double-sided battery assembly is calculated more accurately, and better judgment and prediction are made for social and economic benefits brought by the optimal installation inclination angle and the front and back electricity generation quantity of the double-sided battery assembly.
Drawings
FIG. 1 is a schematic view of a geometric relationship between a bifacial cell module and the sun;
FIG. 2 is a schematic cross-line process;
FIG. 3 is a schematic diagram of the relationship between the shaded area and the double-sided battery pack;
fig. 4 is a triangle formed by the width and the projection length of the bifacial cell assembly and the incident rays of sunlight.
Detailed Description
The invention is further described below. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
The total solar radiation incident on the inclined surface can be divided into 3 parts: (1) direct radiation on the inclined plane; (2) scattering the radiation; (3) reflected radiation reflected from the ground onto the inclined surface. The front side of the double-sided battery pack installed in the north-south direction mainly receives direct radiation and scattered radiation, reflected radiation is small and negligible, and the back side of the double-sided battery pack installed in the north-south direction receives scattered radiation and reflected radiation, and direct radiation is not considered.
The invention discloses a method for determining an optimal inclination angle of a double-sided battery pack based on irradiation quantities of front and back sides, which comprises the following steps:
step 1, determining the position relation between a double-sided battery pack and the sun;
fig. 1 is a schematic diagram showing a geometrical relationship between a double-sided battery module and the sun, wherein the double-sided battery module is installed in the north-south direction at a fixed inclination angle β, and the inclined plane of the double-sided battery module faces the south in the northern hemisphere. In one day, the position relationship between the double-sided battery assembly and the sun can be determined by the following relationship:
wherein, thetazIs the zenith angle (°), θ of the suniThe angle of incidence of the solar ray on the inclined plane (the included angle between the solar ray and the normal of the inclined plane) (°), beta is the inclination angle between the inclined plane of the double-sided battery assembly and the horizontal plane (°), namely the installation inclination angle of the double-sided battery assembly, sigma is the declination angle of the sun (°), phi is the latitude (°),
is the angle of latitude, gammasSun azimuth (°); thetasIs the solar altitude (°), thetaz+θs＝90°，
σ ═ 23.45sin [360 ° (284+ n)/365], where n is the number of days from month 1 of the year, such as: month 1, n is 1, month 5, n is 5;
Step 2, determining the geometric relation between a shadow area generated by the double-sided battery assembly on the ground and the position of the sun;
as shown in fig. 3, the relationship between the shadow area generated by the bifacial cell module on the ground and the bifacial cell module is schematically shown, in the figure, the module is transversely arranged, c is the projection size of the sunlight on the ground in the width direction of the bifacial cell module,
the width of the double-sided battery component is L (m), the length of the double-sided battery component is W (m), figure 4 is a triangle formed by the width L of the double-sided battery component, the projection size c and sunlight incident rays,
then the projection size of the width direction of the double-sided battery pack on the ground is as follows: c ═ Lsin (90 ° + θ)i)/sin(θi) (unit m).
Step 3, calculating the visual angle coefficients of a non-shadow area, a shadow area and the back of the double-sided battery pack which are shielded by the double-sided battery pack;
the solar radiation is considered to be isotropic in the back area of the double-sided battery pack, and the viewing angle coefficient F of a to c is obtained by a viewing angle coefficient model, namely the percentage of the radiation quantity emitted by the ground surface a falling on the back c of the double-sided battery packa-cThe view angle coefficient between two infinitesimal surfaces is calculated according to the Hottel's "cross-tied" cross-line method as follows:
as shown in fig. 2, a is the receiving surface, c is the reflecting surface, a is the receiving surface length direction dimension, B is the emitting surface length direction dimension, and S represents the connecting line dimension between the receiving surface length direction and the emitting surface length direction.
The view angle coefficients of the back surface and the shadow area of the double-sided battery pack are calculated as follows:
outside the shadow area, the scattered radiation and the direct radiation are reflected to the back of the double-sided battery pack by the ground, the influence of the double-sided battery pack at the back row on the back of the double-sided battery pack at the front row is ignored, that is, B tends to be infinite in formula (5), that is, B-S is Acos (beta), and then, the viewing angle coefficients of the back of the double-sided battery pack and the ground area are calculated as follows:
Fr-g＝[1+cos(β)]/2 (6)
then, the viewing angle coefficient F of the double-sided battery assembly and the unshaded arear-nshComprises the following steps: fr-nsh＝Fr-g-Fr-sh。
Step 4, calculating the radiation of the front side and the back side of the double-sided battery assembly, and establishing the relation between the total solar radiation intensity and the inclination angle of the front side and the back side of the double-sided battery assembly;
total solar radiation intensity G of the back and front sides of a double-sided battery packβThe calculation formula is as follows:
Gβ＝Gr+Hu(7)
wherein G isrTotal radiation intensity of the back side of the double-sided battery pack, HuThe total irradiation intensity of the front side of the double-sided battery pack.
Total back irradiation intensity G of double-sided battery assemblyrThe calculation is as follows:
Gr＝ρ·GHI·(Fr-g-Fr-sh)+ρ·DHI·Fr-sh+DHI·(1-cosβ)/2 (8)
where ρ is the ground reflectivity and GHI and DHI are the total and scattered radiation intensity measured through the level.
Total irradiation intensity H of front side of double-sided battery assemblyuThe calculation is calculated according to a typical Hay model as follows:
wherein R isbIn order to obtain the direct-radiation conversion coefficient,
HoIs the solar radiation outside the earth's atmosphere above the horizontal plane.
Total exposure I of the back and front sides of a bifacial battery assembly over one year (365 days)βThe calculation formula is as follows:
wherein G isr,nCalculating the total irradiation intensity of the back of the double-sided battery pack on the nth day according to the formula (8); hu,nCalculating the total irradiation intensity of the front side of the double-sided battery pack on the nth day according to the formula (9); n is the number of days from month 1 in the year, such as: month 1, n is 1, month 5, n is 5; daily GHI and DHI values were taken from historical averages.
Step 5, according to the total irradiation I of the front surface and the back surface of the double-sided battery pack in one dayβAnd selecting the optimal inclination angle in a maximized mode. Maximum IβBeta at time was determined as the optimum tilt angle.
The above description is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several modifications and variations can be made without departing from the technical principle of the present invention, and these modifications and variations should also be regarded as the protection scope of the present invention.
Claims (5)
1. A method for determining the optimal inclination angle of a double-sided battery pack based on the irradiation quantity of the front side and the back side is characterized by comprising the following steps:
1) determining the position relation between the double-sided battery assembly and the sun;
2) determining the geometric relation between a shadow area generated by the double-sided battery assembly on the ground and the position of the sun;
3) calculating the visual angle coefficients of a non-shadow area, a shadow area and the back of the double-sided battery pack which are shielded by the double-sided battery pack;
4) calculating the radiation of the front side and the back side of the double-sided battery assembly, and establishing the relation between the total solar radiation intensity and the inclination angle of the front side and the back side of the double-sided battery assembly; total solar radiation intensity G of front and back of double-sided battery packβComprises the following steps:
Gβ＝Gr+Hu(7)
wherein G isrTotal radiation intensity of the back side of the double-sided battery pack, HuThe total irradiation intensity of the front side of the double-sided battery pack is obtained;
total back irradiation intensity G of double-sided battery assemblyrComprises the following steps:
Gr＝ρ·GHI·(Fr-g-Fr-sh)+ρ·DHI·Fr-sh+DHI·(1-cosβ)/2 (8)
where ρ is the ground reflectivity, GHI and DHI are the total and scattered radiation intensities measured through the horizontal plane, Fr-shViewing angle coefficient of back and shadow area of double-sided battery pack, Fr-g-Fr-shThe visual angle coefficient of the back surface of the double-sided battery component and the non-shadow area, beta is the inclination angle of the inclined plane of the double-sided battery component and the horizontal plane,
total irradiation intensity H of front side of double-sided battery assemblyuComprises the following steps:
wherein R isbIs a direct conversion factor, HoIs solar radiation, theta, outside the earth's atmosphere on a horizontal planezAt the zenith angle of the sun, thetaiThe incident angle of the sun ray on the inclined plane,
5) and selecting the optimal inclination angle according to the maximization of the total irradiation quantity of the front side and the back side of the double-sided battery pack within one year.
2. The method for determining the optimal inclination angle of the double-sided battery assembly based on the front-back irradiation amount according to claim 1, wherein in the step 1), the relation between the double-sided battery assembly and the sun position is as follows:
the double-sided battery assembly is installed in the north-south direction, and the inclined plane of the double-sided battery assembly faces the south in the northern hemisphere, so that the position relation between the double-sided battery assembly and the sun is as follows:
wherein, sigma is the declination angle of the sun, phi is the latitude,
is the angle of latitude, gammasIs the sun azimuth angle, θsIs the solar altitude angle and satisfies the thetaz+θs＝90°，
σ＝23.45sin[360°*(284+n)/365]Wherein n is the number of days from month 1 of the year,
the time angle of the sun is the time angle of the sun,
when ST is true sun, ST is TBJ + (l)o120)/15, TBJ is Beijing time, loThe installation location for the double-sided battery pack.
3. The method for determining the optimal inclination angle of the double-sided battery assembly based on the front-back side irradiation amount according to claim 2, wherein in the step 2), the geometrical relationship between the shadow area generated by the double-sided battery assembly on the ground and the position of the sun is as follows: the projection size c of the double-sided battery pack in the width direction on the ground is as follows: c ═ Lsin (90 ° + θ)i)/sin(θi)，
Wherein L is the width of the double-sided battery pack.
4. The method for determining the optimal inclination angle of the double-sided battery pack based on the front-back side exposure dose according to claim 3, wherein in the step 3),
visual angle coefficient F of back surface and shadow area of double-sided battery packr-shComprises the following steps:
visual angle coefficient F of back and non-shadow area of double-sided battery packr-nshThe calculation is as follows:
Fr-nsh＝Fr-g-Fr-sh
Fr-g＝[1+cos(β)]/2。
5. the method for determining the optimal inclination angle of the double-sided battery pack based on the front-back side exposure dose of claim 1, wherein in the step 5), the total exposure dose I of the front side and the back side of the double-sided battery pack in one yearβComprises the following steps:
wherein G isr,nThe total irradiation intensity of the back of the double-sided battery pack on the nth day; hu,nThe total irradiation intensity of the front side of the double-sided battery pack on the nth day; n is the number of days from month 1 of the year.
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| CN107704717B (en) * | 2017-11-22 | 2020-10-09 | 河海大学常州校区 | Method for calculating back radiation quantity of double-sided assembly array arrangement |
| CN108073766A (en) * | 2017-12-13 | 2018-05-25 | 天合光能股份有限公司 | A kind of preferred method of two-sided photovoltaic module setting height(from bottom) |
| CN108226629B (en) * | 2018-01-08 | 2020-03-10 | 河海大学常州校区 | Method for calculating power generation performance of double-sided battery pack by adopting multiple radiation sensors |
| CN108874739B (en) * | 2018-06-11 | 2022-04-05 | 河海大学常州校区 | Method for calculating irradiation unevenness of photovoltaic module under shielding of photovoltaic square matrix space |
| CN108803679B (en) * | 2018-07-06 | 2021-11-12 | 合肥仁洁智能科技有限公司 | Maximum power generation amount angle tracking method and controller for double-sided photovoltaic module |
| CN109116872A (en) * | 2018-09-30 | 2019-01-01 | 天合光能股份有限公司 | A kind of preferred method of two-sided photovoltaic component tracks angle |
| CN110297506B (en) * | 2019-06-18 | 2022-12-30 | 西安隆基清洁能源有限公司 | Tracking method, device and equipment for double-sided single-shaft assembly photovoltaic system |
| CN113722649B (en) * | 2020-05-25 | 2023-08-04 | 阿特斯阳光电力集团股份有限公司 | Photovoltaic module front irradiation intensity calculation method, device, equipment and storage medium |
| CN116026455A (en) * | 2023-02-22 | 2023-04-28 | 中国科学技术大学 | Measurement method of high-precision irradiation sensor |
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