CN106452301A - Photovoltaic component installation design method for non-due-south slope - Google Patents

Photovoltaic component installation design method for non-due-south slope Download PDF

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CN106452301A
CN106452301A CN201610605158.0A CN201610605158A CN106452301A CN 106452301 A CN106452301 A CN 106452301A CN 201610605158 A CN201610605158 A CN 201610605158A CN 106452301 A CN106452301 A CN 106452301A
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vector
slope
photovoltaic module
angle
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肖运启
苗田银
张美玲
薛光楠
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North China Electric Power University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02SGENERATION OF ELECTRIC POWER BY CONVERSION OF INFRARED RADIATION, VISIBLE LIGHT OR ULTRAVIOLET LIGHT, e.g. USING PHOTOVOLTAIC [PV] MODULES
    • H02S20/00Supporting structures for PV modules
    • H02S20/10Supporting structures directly fixed to the ground
    • 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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Abstract

本发明公开了属于太阳能资源开发利用技术领域的一种针对非正南向坡面的光伏组件安装设计方法,包括光伏组件阵列的行向走向、纵向走向、支架倾角的确定方法,以及阴影分析、间距设计方法;首先建立空间坐标系;通过实地测量,得到坡面s的方向角φs;得到坡面s的倾角θs;计算坡面s的单位法向量及立于坡面后的光伏组件与坡面的夹角γ,作为光伏支架所需要形成的倾角的设计要求,以满足安装光伏组件的目标方向角φd和目标倾角θI的要求;同时,本发明可分析组件产生的阴影情况,以实现组件行间间距的优化设计;本发明扩展了山地选址范围,而且支架形式统一,现场安装方便,在实际山地光伏电站设计中具有广阔应用前景。

The invention discloses a photovoltaic module installation design method for non-southern slopes, which belongs to the technical field of solar resource development and utilization, including the determination method of the row direction, longitudinal direction, and bracket inclination angle of the photovoltaic module array, as well as shadow analysis, Spacing design method; first establish a space coordinate system; through on-the-spot measurement, get the direction angle φ s of the slope s; get the inclination θ s of the slope s; calculate the unit normal vector of the slope s And the angle γ between the photovoltaic module standing behind the slope surface and the slope surface is used as the design requirement of the inclination angle that the photovoltaic support needs to form, so as to meet the requirements of the target direction angle φ d and the target inclination angle θ I of installing the photovoltaic module; at the same time, The invention can analyze the shadow situation generated by the modules to realize the optimal design of the inter-row spacing of the modules; the invention expands the range of mountain site selection, and has a unified support form, which is convenient for on-site installation, and has broad application prospects in the actual design of mountain photovoltaic power stations.

Description

一种针对非正南向坡面的光伏组件安装设计方法A photovoltaic module installation design method for non-southern slopes

技术领域technical field

本发明属于太阳能资源开发利用技术领域,特别涉及一种针对非正南向坡面的光伏组件安装设计方法The invention belongs to the technical field of development and utilization of solar energy resources, and in particular relates to a photovoltaic module installation design method for non-southern slopes

背景技术Background technique

随着近几年我国对太阳能资源的大量开发,可用于光伏电站建设的日照充足、地势平坦的土地资源日趋减少,光伏电站选址已经逐渐向山地、丘陵等复杂地形延伸。山地光伏电站地势复杂,各自然坡面朝向不同,传统的针对平坦地型的光伏组件安装设计方法显然需要改进。为了最大限度接收太阳能辐射,平坦地形大型光伏电站中的组件通常采用正南向、最佳倾角、固定支架的安装方式。而为了提高山地光伏电站土地利用效率,一些非正南向的坡面也需要进行利用,此种情况下如果一定要求光伏组件面向正南安装,则受坡面在东西走向上具有一定曲率的影响,采用传统固定支架沿东西向安装后,组件的底边并非平行于水平面,而是沿东西向的梯度与水平面具有一定夹角。因此组件平面的法向量不再指向正南方向,而是具有了东西向的分量。针对这个问题,一类解决方案是使用现场可调支架,在中国专利CN 203896255 U“一种山坡光伏电站基础支架系统”和CN 202495454 U“一种山坡型太阳能光伏电站固定支架”中均是这一思路,虽然一定程度上可满足组件正南向最佳倾角安装的要求,但是增加了支架制造成本和差异性施工的难度。第二类解决方案是保留传统固定式支架,光伏组件顺坡面铺设,但并不严格按照东西走向,而是与东西方向有一定夹角,如中国专利CN 103441185 A“一种在东西向斜坡安装光伏阵列的方法及装置”的设计方法。但是,此时光伏组件的方向角和最佳倾角的确定方法比较复杂,例如,在专利CN105490619 A“一种确定光伏组件最佳安装倾角的方法及所使用的多角度光伏数据采集箱”提出了利用实验确定的方案。第二种方案下的组件接受辐射效果虽然略低于正南向安装,但扩大了山地选址范围,而且支架形式统一,现场安装方便,在实际山地光伏电站设计中具有广阔应用前景。但是目前还没有统一的设计方法,而且也缺乏阴影分析、间距设计等依据。With the large-scale development of solar energy resources in my country in recent years, the land resources with sufficient sunshine and flat terrain that can be used for the construction of photovoltaic power plants are decreasing day by day, and the site selection of photovoltaic power plants has gradually extended to complex terrain such as mountains and hills. The terrain of mountain photovoltaic power plants is complex, and the natural slopes have different orientations. The traditional installation and design method of photovoltaic modules for flat land obviously needs to be improved. In order to receive solar radiation to the maximum extent, the modules in large-scale photovoltaic power plants on flat terrain are usually installed in a south-facing, optimal inclination angle, and fixed brackets. In order to improve the land use efficiency of mountainous photovoltaic power plants, some slopes that are not facing south also need to be used. In this case, if photovoltaic modules must be installed facing south, it will be affected by the curvature of the slope in the east-west direction. , after using the traditional fixed bracket to install along the east-west direction, the bottom edge of the module is not parallel to the horizontal plane, but the gradient along the east-west direction has a certain angle with the horizontal plane. So the component plane's normal vector no longer points due south, but has an east-west component. To solve this problem, one type of solution is to use field-adjustable brackets, which are used in Chinese patents CN 203896255 U "A Basic Support System for Hillside Photovoltaic Power Stations" and CN 202495454 U "A Fixed Bracket for Hillside Solar Photovoltaic Power Stations". One way of thinking, although to a certain extent, it can meet the requirements of the optimal inclination angle installation of the module due to the south, but it increases the manufacturing cost of the bracket and the difficulty of differential construction. The second type of solution is to keep the traditional fixed support. The photovoltaic modules are laid along the slope, but they are not strictly in accordance with the east-west direction, but have a certain angle with the east-west direction. For example, Chinese patent CN 103441185 A "a kind of Method and device for installing photovoltaic array". However, at this time, the determination method of the orientation angle and the optimal inclination angle of the photovoltaic module is relatively complicated. Use experimentally determined protocols. Although the radiation receiving effect of the modules under the second scheme is slightly lower than that of the due south installation, it expands the range of mountain site selection, and the support form is uniform, and the on-site installation is convenient. It has broad application prospects in the actual design of mountainous photovoltaic power plants. However, there is no unified design method yet, and there is also a lack of basis for shadow analysis and spacing design.

发明内容Contents of the invention

本发明的目的是提出一种针对非正南向坡面的光伏组件安装设计方法,其特征在于,具体包括光伏组件阵列的行向走向、纵向走向、支架倾角的确定方法,以及阴影分析、间距设计方法,非正南向坡面上光伏组件安装设计步骤如下:The purpose of the present invention is to propose a photovoltaic module installation design method for non-southern slopes, which is characterized in that it specifically includes the determination method of the row direction, longitudinal direction, and bracket inclination angle of the photovoltaic module array, as well as shadow analysis, spacing Design method, the installation design steps of photovoltaic modules on non-southern slopes are as follows:

1)首先建立空间坐标系,其中X轴正方向为正西,Y轴正方向为正南,X-Y构成水平平面;Z轴正方向为竖直向上,表示高度;本坐标系符合上北下南左西右东的惯例;其次定义方向角φ,即在X-Y平面上一直线μ与Y轴正南方向所夹之角,规定由正南向顺时针为正向,由正南向逆时针为负向,即正西向为90°,正东向为-90°;定义倾角θ,即空间中某平面与X-Y平面的夹角;1) First establish a spatial coordinate system, where the positive direction of the X-axis is due west, the positive direction of the Y-axis is due south, and X-Y constitutes a horizontal plane; the positive direction of the Z-axis is vertical upward, indicating height; this coordinate system conforms to the north-to-south The convention of left-west-right-east; secondly, define the direction angle φ, that is, the angle between a straight line μ on the X-Y plane and the south direction of the Y axis. Negative direction, that is, the due west direction is 90°, and the due east direction is -90°; define the inclination angle θ, that is, the angle between a certain plane in space and the X-Y plane;

2)通过实地测量,得到坡面s的方向角φs;得到坡面s的倾角θs;计算坡面s的单位法向量 2) Obtain the direction angle φ s of the slope s through on-the-spot measurement; obtain the inclination θ s of the slope s; calculate the unit normal vector of the slope s

3)已知待安装光伏组件的目标方向角φd和目标倾角θd,计算组件朝向面d 的单位法向量 3) Knowing the target orientation angle φ d and the target inclination angle θ d of the photovoltaic module to be installed, calculate the unit normal vector of the module facing the surface d

4)在坡面内,光伏组件以多行平行的形式规则排列,定义位于坡面表面的单位行向量当每行光伏组件的底边或底部横向支架沿向量所确定的方向铺设时,满足安装光伏组件的目标方向角φd和目标倾角θd的要求,则进行向量的计算;4) In the slope, the photovoltaic modules are regularly arranged in parallel rows, defining the unit row vector on the slope surface When the bottom edge or bottom horizontal support of each row of photovoltaic modules is along the vector When laying in the determined direction, the requirements of the target direction angle φ d and target inclination angle θ d for installing photovoltaic modules are met, and the vector calculation;

5)光伏组件行向走向确定后,在满足安装的光伏组件的目标方向角φd和目标倾角θd的要求条件下计算光伏组件支架与坡面的夹角γ,此夹角γ是由光伏组件支架实现的;5) After the direction of the photovoltaic module is determined, the angle γ between the photovoltaic module support and the slope surface is calculated under the condition that the target direction angle φ d and the target inclination angle θ d of the installed photovoltaic module are met. The angle γ is determined by the photovoltaic module Implemented by component brackets;

6)光伏组件以光伏组件支架与坡面的夹角γ立于坡面后,组件的侧边的单位向量的计算方法如下:6) The photovoltaic module stands behind the slope at the angle γ between the photovoltaic module bracket and the slope, and the unit vector of the side of the module The calculation method is as follows:

a.由于光伏组件为矩形,所以侧边向量垂直于底边向量 a. Since the photovoltaic module is rectangular, the side vector perpendicular to the base vector

b.由于侧边向量在光伏组件朝向面d内,所以垂直于 b. Due to the side vector The PV modules are facing inwards of face d, so perpendicular to

c.由于分别垂直于所以其中符号“×”为几何向量的“交叉乘积”运算;c. due to perpendicular to and so The symbol "×" is the "cross product" operation of geometric vectors;

7)光伏组件以夹角γ立于坡面后,其阴影向量计算方法如下步骤:7) After the photovoltaic module stands on the slope at an included angle γ, the calculation method of its shadow vector is as follows:

a.根据已知太阳高度角α和方向角Φr,在图2坐标系下描述太阳光线单位向量 a. According to the known sun altitude angle α and direction angle Φ r , describe the sun ray unit vector in the coordinate system in Figure 2

式中:负号表示该向量由太阳发出指向坡面;In the formula: the negative sign indicates that the vector is sent from the sun and points to the slope;

b.设组件侧边即为单位向量则经过组件最上端的边缘光线是经侧边顶端照射到坡面上的,设侧棱顶端到坡面间光路程为k,表示为向量设光伏组件在坡面上所形成的阴影向量为方向由光伏组件侧边底端指向阴影末端;则光伏组件的侧边向量光程向量阴影向量构成一个矢量三角形:b. Let the side of the component be the unit vector Then the edge light passing through the uppermost end of the component is irradiated on the slope through the top of the side edge, and the light path between the top of the side edge and the slope is k, which is expressed as a vector Let the shadow vector formed by the photovoltaic module on the slope be The direction is from the bottom end of the side of the photovoltaic module to the end of the shadow; then the side vector of the photovoltaic module Optical path vector shadow vector Form a vector triangle:

同时,由于阴影在坡面上,所以阴影向量必然与坡面法向量垂直:Also, since the shadow is on the slope, the shadow vector Necessary and slope normal vector vertical:

上两式联立,求得阴影向量 Combine the above two equations to obtain the shadow vector

8)光伏组件阵列的纵向向量的计算方法如下:8) Vertical vector of photovoltaic module array The calculation method is as follows:

a.光伏组件阵列纵向向量垂直于组件行向向量 a. Vertical vector of photovoltaic module array perpendicular to the component row vector

b.光伏组件纵向向量也在坡面s上,所以垂直于坡面s的法向量 b. Vertical vector of photovoltaic modules is also on the slope s, so the normal vector perpendicular to the slope s

c.由于向量分别垂直于所以: c. Due to the vector perpendicular to and so:

d.向量确定后,可计算在X-Y轴平面上的方向角σ:d. Vector Once determined, it can be calculated Direction angle σ on the XY axis plane:

σ=tan-1(AXX/AXY),其中AXY在Y轴上的分量,AXX在X轴上的分量;在坡面确定某行组件的安装起点A1,以水平罗盘确定方向角为σ的水平直线方向,向坡面做投影所形成的直线,即为由A1点确定的方向为的光伏组件阵列的纵向安装方向;σ=tan -1 (AX X /AX Y ), where AX Y is The component on the Y axis, AX X is Component on the X axis; determine the installation starting point A1 of a certain row of components on the slope, determine the direction of the horizontal line with the direction angle σ by the horizontal compass, and project the straight line formed on the slope, which is the direction determined by point A1 for The longitudinal installation direction of the photovoltaic module array;

e.阵列间距即为相邻两行光伏组件阵列的底边在方向上的距离;e. The array spacing is the bottom edge of two adjacent rows of photovoltaic module arrays. distance in direction;

9)组件在纵向向量方向上的实际投影长度LAX的计算方法如下:9) Components in vertical vector The actual projected length L AX in the direction is calculated as follows:

由于光伏组件侧边的单位向量为所以若光伏组件侧边的实际长度为LVL,则在方向上的实际阴影长度LAX为:Since the unit vector on the side of the photovoltaic module is Therefore, if the actual length of the side of the PV module is L VL , then in The actual shadow length L AX in the direction is:

10)光伏组件阵列的纵向行间距设计方法如下:10) The design method of the longitudinal row spacing of the photovoltaic module array is as follows:

a.根据特殊日期(一般为冬至日)具有日照条件的m个小时的平均太阳高度角和方向角数据,依据步骤7-9依次确定阴影在纵向向量上的各小时平均的投影长度其中i=1,2,..,m;a. According to the average solar altitude angle and direction angle data of m hours with sunshine conditions on a special day (usually the winter solstice day), determine the vertical vector of the shadow in sequence according to steps 7-9 Hourly average projection length on where i=1,2,..,m;

b.将各按从小到大的顺序排序,形成序列Arr;b. will each Sort in ascending order to form the sequence Arr;

c.根据光伏电站设计规范中对组件在一日内最低无遮挡小时数T的要求,在序列Arr中找到第T个变量该值即为满足无遮挡要求的行间间距的最小值。c. Find the Tth variable in the sequence Arr according to the requirement of the minimum unshaded hours T of the module in a day in the design specification of the photovoltaic power station This value is the minimum value of the spacing between lines to meet the requirement of no occlusion.

所述向量的计算方法如下:the vector The calculation method is as follows:

a.向量在坡面s内,所以垂直于 a. Vector within slope s, so perpendicular to

b.向量又在组件朝向面d内,所以垂直于 b. Vector Again in the component facing face d, so perpendicular to

c.由于分别垂直于所以其中符号“×”为几何向量的“交叉乘积”运算;c. due to perpendicular to and so The symbol "×" is the "cross product" operation of geometric vectors;

d.向量确定后,计算在X-Y轴平面上的方向角δ,d. Vector Once determined, calculate The orientation angle δ on the XY axis plane,

δ=tan-1(SLX/SLY),其中SLY在Y轴上的分量,SLX在X轴上的分量;δ=tan -1 (SL X /SL Y ), where SL Y is The component on the Y axis, SL X is component on the x-axis;

e.在坡面确定某行光伏组件的安装起点A1,以水平罗盘确定方向角为δ的水平直线方向,向坡面做投影所形成的直线,即为由A1点确定的方向为的该行光伏组件阵列的行向安装路线;e. Determine the installation starting point A1 of a row of photovoltaic modules on the slope, determine the direction of the horizontal line with a direction angle of δ with a horizontal compass, and project the line to the slope, that is, the direction determined by point A1 is The row-wise installation route of the row of photovoltaic module arrays;

所述夹角γ的计算步骤如下:The calculation steps of the included angle γ are as follows:

a.得到坡面s的法向量 a. Get the normal vector of the slope s

b.得到光伏组件朝向面d的法向量 b. Obtain the normal vector of the photovoltaic module facing the face d

c.由几何二面角定理:其中:符号“.”为几何向量的“数量积”运算,符号“||”为几何向量的“模值”运算;c. By the geometric dihedral angle theorem: Among them: the symbol "." is the "quantity product" operation of the geometric vector, and the symbol "||" is the "modulus" operation of the geometric vector;

d.此γ可以作为光伏支架所需要形成的倾角的设计要求;d. This γ can be used as the design requirement for the inclination angle required by the photovoltaic support;

本发明的有益效果是该安装设计方法是一套光伏组件具体安装参数的计算方法,包括光伏组件阵列的行向走向、纵向走向、支架倾角的确定方法,以及阴影分析、间距设计方法:The beneficial effect of the present invention is that the installation design method is a set of calculation methods for the specific installation parameters of photovoltaic modules, including the determination method of the row direction, longitudinal direction, and bracket inclination angle of the photovoltaic module array, as well as shadow analysis and spacing design methods:

(1)可计算出在非正南向坡面上进行光伏组件安装设计所需要的行向安装方向、列向安装方向、支架所需角度等重要参数,以准确实现组件的目标方向角和目标倾角;(1) It is possible to calculate important parameters such as the row installation direction, the column installation direction, and the angle required for the bracket required for the installation design of photovoltaic modules on non-southern slopes, so as to accurately achieve the target orientation angle and target of the module. inclination;

(2)可分析组件产生的阴影情况,以实现组件行间间距的优化设计;本发明对于山地光伏电站的设计开发具有实际指导意义。(2) The shadow situation generated by the modules can be analyzed to realize the optimal design of the inter-row spacing of the modules; the invention has practical guiding significance for the design and development of mountain photovoltaic power stations.

附图说明Description of drawings

图1为总体计算流程图。Figure 1 is the overall calculation flow chart.

图2为空间坐标系示意图。Figure 2 is a schematic diagram of the space coordinate system.

图3为一种简单光伏支架示意图,图中:1为光伏组件,2为左侧支架,3为左侧支架与地面固定装置,4为右侧支架,5为右侧支架与地面固定装置,γ为光伏组件支架与坡面的夹角。Figure 3 is a schematic diagram of a simple photovoltaic bracket, in which: 1 is the photovoltaic module, 2 is the left bracket, 3 is the left bracket and the ground fixing device, 4 is the right side bracket, 5 is the right side bracket and the ground fixing device, γ is the angle between the photovoltaic module support and the slope.

图4为坡面光伏阵列示意图。Fig. 4 is a schematic diagram of a slope photovoltaic array.

具体实施方式detailed description

本发明提出一种针对非正南向坡面的光伏组件安装设计方法,具体包括组件阵列的水平行走向、纵向列走向、支架倾角的确定方法,以及阴影分析、间距设计方法,下面结合附图和实施例对本发明予以说明。The present invention proposes a photovoltaic module installation design method for non-southern slopes, which specifically includes the determination method of the horizontal row orientation, vertical column orientation, and bracket inclination angle of the module array, as well as shadow analysis and spacing design methods. The following is combined with the accompanying drawings and Examples illustrate the present invention.

如图1所示为总体计算流程图;下面就是依照该流程图进行的非正南向坡面上光伏组件安装设计步骤如下:Figure 1 shows the overall calculation flow chart; the following is the installation and design steps of photovoltaic modules on non-southern slopes according to the flow chart:

1)首先建立如图2所示的空间坐标系,其中X轴正方向为正西,Y轴正方向为正南,X-Y构成水平平面;Z轴正方向为竖直向上,表示高度;本坐标系符合上北下南左西右东的惯例;定义方向角φ,即在图2中X-Y平面上一直线与Y轴正方向(南向)所夹之角,规定由正南向顺时针为正向,由正南向逆时针为负向,即正西向为90°,正东向为-90°;定义倾角θ,即空间中某平面与图2中X-Y平面的夹角;1) First establish the space coordinate system shown in Figure 2, where the positive direction of the X-axis is due west, the positive direction of the Y-axis is due south, and X-Y constitutes a horizontal plane; the positive direction of the Z-axis is vertical upward, indicating height; this coordinate It conforms to the convention of going up north, down south, left west, right east; defining the direction angle φ, that is, the angle between a straight line on the X-Y plane in Figure 2 and the positive direction of the Y axis (south direction), which is stipulated to be clockwise from the south direction Positive direction, negative direction from south to counterclockwise, that is, due west is 90°, and due east is -90°; define inclination θ, that is, the angle between a certain plane in space and the X-Y plane in Figure 2;

2)通过实地测量,得到坡面s的方向角φs;通过实地测量,得到坡面s的倾角θs;计算坡面s的单位法向量 2) Obtain the direction angle φ s of the slope s through field measurement; obtain the inclination angle θ s of the slope s through field measurement; calculate the unit normal vector of the slope s

3)已知待安装光伏组件的目标方向角φd和目标倾角θd,计算组件朝向面d的单位法向量 3) Knowing the target orientation angle φ d and the target inclination angle θ d of the photovoltaic module to be installed, calculate the unit normal vector of the module facing the surface d

4)在坡面内,光伏组件以多行平行的形式规则排列(如图3所示),定义位于坡面表面的单位行向量当每行光伏组件的底边或底部横向支架沿向量所确定的方向铺设时,可满足待安装光伏组件的目标方向角φd和目标倾角θd的要求;则向量的计算方法如下:4) Within the slope, the photovoltaic modules are regularly arranged in parallel rows (as shown in Figure 3), defining the unit row vector on the slope surface When the bottom edge or bottom horizontal support of each row of photovoltaic modules is along the vector When laying in the determined direction, it can meet the requirements of the target orientation angle φ d and the target inclination angle θ d of the photovoltaic modules to be installed; then the vector The calculation method is as follows:

a.向量在坡面s内,所以垂直于 a. Vector within slope s, so perpendicular to

b.向量又在光伏组件朝向面d内,所以垂直于 b. Vector And in the photovoltaic module facing the plane d, so perpendicular to

c.由于分别垂直于所以其中符号“×”为几何向量的“交叉乘积”运算;c. due to perpendicular to and so The symbol "×" is the "cross product" operation of geometric vectors;

d.向量确定后,计算在X-Y轴平面上的方向角δ,d. Vector Once determined, calculate The orientation angle δ on the XY axis plane,

δ=tan-1(SLX/SLY),其中SLY在Y轴上的分量,SLX在X轴上的分量;δ=tan -1 (SL X /SL Y ), where SL Y is The component on the Y axis, SL X is component on the x-axis;

e.在坡面确定某行光伏组件的安装起点A1,以水平罗盘确定方向角为δ的水平直线方向,向坡面做投影所形成的直线,即为由A1点确定的方向为的该行光伏组件阵列的行向安装路线。e. Determine the installation starting point A1 of a row of photovoltaic modules on the slope, determine the direction of the horizontal line with a direction angle of δ with a horizontal compass, and project the line to the slope, that is, the direction determined by point A1 is The row-wise installation route of the row of photovoltaic module arrays.

5)光伏组件行向走向确定后,下面计算在满足待安装光伏组件的目标方向角φd和目标倾角θd条件下的光伏组件与坡面的夹角γ,此夹角γ是由光伏组件支架实现的;夹角γ的计算步骤如下:5) After the direction of the photovoltaic module is determined, the angle γ between the photovoltaic module and the slope surface under the condition of satisfying the target direction angle φ d and the target inclination angle θ d of the photovoltaic module to be installed is calculated below. This included angle γ is determined by the photovoltaic module The bracket is realized; the calculation steps of the included angle γ are as follows:

a.得到坡面s的法向量 a. Get the normal vector of the slope s

b.得到组件朝向面d的法向量 b. Get the normal vector of the component facing face d

c.由几何二面角定理:其中:符号“.”为几何向量的“数量积”运算,符号“||”为几何向量的“模值”运算;c. By the geometric dihedral angle theorem: Among them: the symbol "." is the "quantity product" operation of the geometric vector, and the symbol "||" is the "modulus" operation of the geometric vector;

d.此γ可以作为光伏支架所需要形成的倾角的设计要求;d. This γ can be used as the design requirement for the inclination angle required by the photovoltaic support;

6)光伏组件以夹角γ立于坡面后,光伏组件的侧边的单位向量的计算方法如下:6) After the photovoltaic module stands on the slope at an angle γ, the unit vector of the side of the photovoltaic module The calculation method is as follows:

a.由于光伏组件为矩形,所以侧边向量垂直于底边向量 a. Since the photovoltaic module is rectangular, the side vector perpendicular to the base vector

b.由于侧边向量在光伏组件朝向面d内,所以垂直于 b. Due to the side vector The PV modules are facing inwards of face d, so perpendicular to

c.由于分别垂直于所以其中符号“×”为几何向量的“交叉乘积”运算;c. due to perpendicular to and so The symbol "×" is the "cross product" operation of geometric vectors;

7)光伏组件以夹角γ立于坡面后,其阴影向量计算方法如下步骤:7) After the photovoltaic module stands on the slope at an included angle γ, the calculation method of its shadow vector is as follows:

a.根据已知太阳高度角α和方向角φr,在图2坐标系下描述太阳光线单位向量 a. According to the known sun altitude angle α and direction angle φ r , describe the sun ray unit vector in the coordinate system of Figure 2

式中:负号表示该向量由太阳发出指向坡面;In the formula: the negative sign indicates that the vector is sent from the sun and points to the slope;

b.设光伏组件侧边即为单位向量则经过光伏组件最上端的边缘光线是经侧边顶端照射到坡面上的,设侧棱顶端到坡面间光路程为k,表示为向量设光伏组件在坡面上所形成的阴影向量为方向由光伏组件侧边底端指向阴影末端。则光伏组件的侧边向量光程向量阴影向量构成一个矢量三角形:b. Let the side of the photovoltaic module be the unit vector The edge light passing through the uppermost end of the photovoltaic module is irradiated on the slope through the top of the side, and the light path between the top of the side edge and the slope is k, expressed as a vector Let the shadow vector formed by the photovoltaic module on the slope be The direction is from the bottom of the side of the photovoltaic module to the end of the shadow. Then the side vector of the photovoltaic module Optical path vector shadow vector Form a vector triangle:

同时,由于阴影在坡面上,所以阴影向量必然与坡面法向量垂直:Also, since the shadow is on the slope, the shadow vector Necessary and slope normal vector vertical:

上两式联立,求得阴影向量 Combine the above two equations to obtain the shadow vector

8)光伏组件阵列的纵向向量的计算方法如下:8) Vertical vector of photovoltaic module array The calculation method is as follows:

a.光伏组件阵列纵向向量垂直于组件行向向量 a. Vertical vector of photovoltaic module array perpendicular to the component row vector

b.光伏组件纵向向量也在坡面s上,所以垂直于坡面s的法向量 b. Vertical vector of photovoltaic modules is also on the slope s, so the normal vector perpendicular to the slope s

c.由于向量分别垂直于所以: c. Due to the vector perpendicular to and so:

d.向量确定后,可计算在X-Y轴平面上的方向角σ:d. Vector Once determined, it can be calculated Direction angle σ on the XY axis plane:

σ=tan-1(AXX/AXY),其中AXY在Y轴上的分量,AXX在X轴上的分量;在坡面确定某行组件的安装起点A1,以水平罗盘确定方向角为σ的水平直线方向,向坡面做投影所形成的直线,即为由A1点确定的方向为的光伏组件阵列的纵向安装方向;σ=tan -1 (AX X /AX Y ), where AX Y is The component on the Y axis, AX X is Component on the X axis; determine the installation starting point A1 of a certain row of components on the slope, determine the direction of the horizontal line with the direction angle σ by the horizontal compass, and project the straight line formed on the slope, which is the direction determined by point A1 for The longitudinal installation direction of the photovoltaic module array;

e.阵列间距即为相邻两行组件阵列的底边在方向上的距离;e. The array spacing is the bottom edge of two adjacent rows of component arrays. distance in direction;

9)光伏组件在纵向向量方向上的实际投影长度LAX的计算方法如下:9) Photovoltaic modules in vertical vector The actual projected length L AX in the direction is calculated as follows:

由于光伏组件侧边的单位向量为所以若光伏组件侧边的实际长度为LVL,则在方向上的实际阴影长度LAX为:Since the unit vector on the side of the photovoltaic module is Therefore, if the actual length of the side of the PV module is L VL , then in The actual shadow length L AX in the direction is:

10)光伏组件阵列的纵向行间距设计方法如下:10) The design method of the longitudinal row spacing of the photovoltaic module array is as follows:

a.根据特殊日期(一般为冬至日)具有日照条件的m个小时的平均太阳高度角和方向角数据,依据步骤7-9依次确定阴影在纵向向量上的各小时平均的投影长度其中i=1,2,..,m;a. According to the average solar altitude angle and direction angle data of m hours with sunshine conditions on a special day (usually the winter solstice day), determine the vertical vector of the shadow in sequence according to steps 7-9 Hourly average projection length on where i=1,2,..,m;

b.将各按从小到大的顺序排序,形成序列Arr;b. will each Sort in ascending order to form the sequence Arr;

c.根据光伏电站设计规范中对组件在一日内最低无遮挡小时数T的要求,在序列Arr中找到第T个变量该值即为满足无遮挡要求的行间间距的最小值。c. Find the Tth variable in the sequence Arr according to the requirement of the minimum unshaded hours T of the module in a day in the design specification of the photovoltaic power station This value is the minimum value of the spacing between lines to meet the requirement of no occlusion.

实施例Example

某待建山地光伏电站中某坡面区域朝向为南偏东60°,即φs=-60°;坡面的倾角为30°,即θs=30°;前期设计得出阵列的目标朝向面是南偏东15°,即Φd=-15°;目标倾角为30°,即θd=30°。设计步骤如下:In a mountainous photovoltaic power station to be built, the orientation of a certain slope area is 60° south by east, that is, φ s = -60°; the inclination angle of the slope is 30°, that is, θ s = 30°; the target orientation of the array is obtained from the previous design The surface is 15° east by south, that is, Φ d =-15°; the target inclination is 30°, that is, θ d =30°. The design steps are as follows:

1.首先对待分析坡面定义如图2所示的空间坐标系。1. First define the spatial coordinate system shown in Figure 2 for the slope to be analyzed.

2.由坡面s的法向量 2. From the normal vector of the slope s

计算得到根据坐标轴定义,此向量指向东南偏上方。calculated According to the axis definition, this vector points up-south-east.

3.由组件朝向面d的法向量 3. The normal vector from the component towards the face d

计算得到根据坐标轴定义,此向量指向东南偏上方。calculated According to the axis definition, this vector points up-south-east.

4.计算组件阵列安装的行向向量方向:4. Compute the row vector direction for the component array installation:

a.计算向量 a. Calculate the vector

b.计算在X-Y轴平面上的方向角δ:b. Calculate Direction angle δ on the XY axis plane:

δ=tan-1(SLX/SLY)=-37.50°;在坡面上确定某行组件的安装起点,以水平罗盘确定方向角为-37.50°的水平直线方向,向坡面做投影所形成的直线,即为由安装起点确定的方向为的该行组件阵列的安装路线。δ=tan -1 (SL X /SL Y )=-37.50°; Determine the installation starting point of a certain row of components on the slope, use the horizontal compass to determine the direction of the horizontal line with the direction angle of -37.50°, and project it to the slope The straight line formed, that is, the direction determined by the starting point of the installation is The installation route of the component array for this row.

5.计算在满足目标方向角和目标倾角条件下的光伏组件支架与坡面的夹角γ,此夹角γ是由光伏组件支架实现的;γ计算如下:5. Calculate the angle γ between the photovoltaic module support and the slope surface under the condition of satisfying the target orientation angle and target inclination angle. This included angle γ is realized by the photovoltaic module support; γ is calculated as follows:

如图3给出了一种简单的光伏支架的示意,其中1为光伏组件,2为左侧支架,3为左侧支架与地面固定装置,4为右侧支架,5为右侧支架与地面固定装置,γ为支架夹角。其中,光伏组件支架与坡面的夹角γ为22.06°。支架的具体实现形式可以不同。Figure 3 shows a simple photovoltaic support, where 1 is the photovoltaic module, 2 is the left support, 3 is the left support and the ground fixing device, 4 is the right support, and 5 is the right support and the ground. Fixing device, γ is the bracket angle. Among them, the included angle γ between the photovoltaic module support and the slope is 22.06°. The specific implementation form of the bracket may be different.

6.组件侧边的单位向量的计算:6. Unit vector on the side of the component The calculation of:

7.此处仅以某一时刻的太阳条件进行阴影计算方法的说明:假设此时太阳光的高度角为44.2°,即α=44.2°;太阳方向角为南偏东50°,即φr=-50°。7. The description of the shadow calculation method is only based on the sun conditions at a certain moment: Assume that the altitude angle of the sunlight at this time is 44.2°, that is, α=44.2°; the sun direction angle is 50° south by east, that is, φ r =-50°.

a.首先计算太阳光线的单位方向向量 a. First calculate the unit direction vector of the sun ray

向量指向西北偏下方向; The vector points in the down-northwest direction;

b.根据阴影三角形矢量方程,计算得:b. According to the shaded triangle vector equation, calculate:

阴影: shadow:

针对不同的太阳高度和方向,的计算方法同理。For different sun heights and directions, The calculation method is the same.

8.组件阵列的纵向向量的计算:8. Vertical vector of component array The calculation of:

a.此向量指向东北偏下方。a. This vector points down-northeast.

b.向量确定后,可计算在X-Y轴平面上的方向角σ,σ=tan-1(AXX/AXY)=-132.74°;在坡面确定某行组件的安装起点A1,以水平角度测量装置确定方向角为-132.74°的水平直线方向,向坡面做投影所形成的直线,即为由A1点确定的方向为的组件阵列安装的纵向方向。b. Vector Once determined, it can be calculated The direction angle σ on the XY axis plane, σ=tan -1 (AX X /AX Y )=-132.74°; determine the installation starting point A1 of a row of components on the slope, and use the horizontal angle measuring device to determine the direction angle as -132.74 ° horizontal straight line direction, the straight line formed by projection to the slope surface is the direction determined by A1 point The longitudinal orientation of the array of components mounted.

9.计算此时光伏组件的投影在纵向向量方向上的长度,假设光伏组件侧边的实际长度为150cm,则在方向上的实际阴影长度LAX为:9. Calculate the projection of the photovoltaic module in the vertical vector at this time The length in the direction, assuming that the actual length of the side of the photovoltaic module is 150cm, then in The actual shadow length L AX in the direction is:

10.光伏组件阵列的纵向行间距设计方法如下:10. The longitudinal row spacing design method of photovoltaic module array is as follows:

a.根据特殊日期(一般为冬至日)具有日照条件的m个小时的平均太阳高度角和方向角数据,依据步骤7-9确定阴影在列向向量上的各小时平均投影长度其中i=1,2,..,m;a. According to the average sun altitude and direction angle data of m hours with sunshine conditions on a special day (usually the winter solstice day), determine the average projection length of the shadow on the column vector for each hour according to steps 7-9 where i=1,2,..,m;

b.将各按从小到大的顺序排序,形成序列Arr;b. will each Sort in ascending order to form the sequence Arr;

c.根据光伏电站设计规范中对组件在一日内最低无遮挡小时数T的要求,例如T=6,则在序列Arr中找到第6个变量该值即为满足无遮挡要求的行间间距的最小值。c. According to the requirements of the photovoltaic power plant design specification for the minimum number of unshaded hours T in a day, for example, T=6, then find the sixth variable in the sequence Arr This value is the minimum value of the spacing between lines to meet the requirement of no occlusion.

Claims (3)

1.一种针对非正南向坡面的光伏组件安装设计方法,其特征在于,具体包括光伏组件阵列的行向走向、纵向走向、支架倾角的确定方法,以及阴影分析、间距设计方法,非正南向坡面上光伏组件安装设计步骤如下:1. A photovoltaic module installation design method for non-southern slopes, characterized in that it specifically includes the determination method of the row direction, longitudinal direction, and support inclination angle of the photovoltaic module array, as well as shadow analysis and spacing design methods. The installation and design steps of photovoltaic modules on south-facing slopes are as follows: 1)首先建立空间坐标系,其中X轴正方向为正西,Y轴正方向为正南,X-Y构成水平平面;Z轴正方向为竖直向上,表示高度;本坐标系符合上北下南左西右东的惯例;其次定义方向角φ,即在X-Y平面上一直线μ与Y轴正南方向所夹之角,规定由正南向顺时针为正向,由正南向逆时针为负向,即正西向为90°,正东向为-90°;定义倾角θ,即空间中某平面与X-Y平面的夹角;1) First establish a spatial coordinate system, where the positive direction of the X-axis is due west, the positive direction of the Y-axis is due south, and X-Y constitutes a horizontal plane; the positive direction of the Z-axis is vertical upward, indicating height; this coordinate system conforms to the north-to-south The convention of left-west-right-east; secondly, define the direction angle φ, that is, the angle between a straight line μ on the X-Y plane and the south direction of the Y axis. Negative direction, that is, the due west direction is 90°, and the due east direction is -90°; define the inclination angle θ, that is, the angle between a certain plane in space and the X-Y plane; 2)通过实地测量,得到坡面s的方向角φs;得到坡面s的倾角θs;计算坡面s的单位法向量 2) Obtain the direction angle φ s of the slope s through on-the-spot measurement; obtain the inclination θ s of the slope s; calculate the unit normal vector of the slope s 3)已知待安装光伏组件的目标方向角φd和目标倾角θd,计算组件朝向面d的单位法向量 3) Knowing the target orientation angle φ d and the target inclination angle θ d of the photovoltaic module to be installed, calculate the unit normal vector of the module facing the surface d 4)在坡面内,光伏组件以多行平行的形式规则排列,定义位于坡面表面的单位行向量当每行光伏组件的底边或底部横向支架沿向量所确定的方向铺设时,满足安装光伏组件的目标方向角φd和目标倾角θd的要求,则进行向量的计算;4) In the slope, the photovoltaic modules are regularly arranged in parallel rows, defining the unit row vector on the slope surface When the bottom edge or bottom horizontal support of each row of photovoltaic modules is along the vector When laying in the determined direction, the requirements of the target direction angle φ d and target inclination angle θ d for installing photovoltaic modules are met, and the vector calculation; 5)光伏组件行向走向确定后,在满足安装的光伏组件的目标方向角φd和目标倾角θd的要求条件下计算光伏组件支架与坡面的夹角γ,此夹角γ是由光伏组件支架实现的;5) After the direction of the photovoltaic module is determined, the angle γ between the photovoltaic module support and the slope surface is calculated under the condition that the target direction angle φ d and the target inclination angle θ d of the installed photovoltaic module are met. This angle γ is determined by the photovoltaic module Implemented by component brackets; 6)光伏组件以光伏组件支架与坡面的夹角γ立于坡面后,光伏组件的侧边的单位向量的计算方法如下:6) The photovoltaic module stands behind the slope at the angle γ between the photovoltaic module support and the slope surface, and the unit vector of the side of the photovoltaic module The calculation method is as follows: a.由于光伏组件为矩形,所以侧边向量垂直于底边向量 a. Since the photovoltaic module is rectangular, the side vector perpendicular to the base vector b.由于侧边向量在光伏组件朝向面d内,所以垂直于 b. Due to the side vector The PV modules are facing inwards of face d, so perpendicular to c.由于分别垂直于所以其中符号“×”为几何向量的“交叉乘积”运算;c. due to perpendicular to and so The symbol "×" is the "cross product" operation of geometric vectors; 7)光伏组件以光伏组件支架与坡面的夹角γ立于坡面后,其阴影向量计算方法如下步骤:7) The photovoltaic module stands behind the slope at the angle γ between the photovoltaic module support and the slope, and the calculation method of its shadow vector is as follows: a.根据已知太阳高度角α和方向角φr,在图2坐标系下描述太阳光线单位向量 a. According to the known sun altitude angle α and direction angle φ r , describe the sun ray unit vector in the coordinate system of Figure 2 式中:负号表示该向量由太阳发出指向坡面;In the formula: the negative sign indicates that the vector is sent from the sun and points to the slope; b.设组件侧边即为单位向量则经过组件最上端的边缘光线是经侧边顶端照射到坡面上的,设侧棱顶端到坡面间光路程为k,表示为向量设光伏组件在坡面上所形成的阴影向量为方向由光伏组件侧边底端指向阴影末端;则光伏组件的侧边向量光程向量阴影向量构成一个矢量三角形:b. Let the side of the component be the unit vector Then the edge light passing through the uppermost end of the component is irradiated on the slope through the top of the side edge, and the light path between the top of the side edge and the slope is k, which is expressed as a vector Let the shadow vector formed by the photovoltaic module on the slope be The direction is from the bottom end of the side of the photovoltaic module to the end of the shadow; then the side vector of the photovoltaic module Optical path vector shadow vector Form a vector triangle: 同时,由于阴影在坡面上,所以阴影向量必然与坡面法向量垂直:Also, since the shadow is on the slope, the shadow vector Necessary and slope normal vector vertical: 上两式联立,求得阴影向量 Combine the above two equations to obtain the shadow vector 8)光伏组件阵列的纵向向量的计算方法如下:8) Vertical vector of photovoltaic module array The calculation method is as follows: a.光伏组件阵列纵向向量垂直于光伏组件行向向量 a. Vertical vector of photovoltaic module array Vertical to the PV module row vector b.光伏组件纵向向量也在坡面s上,所以垂直于坡面s的法向量 b. Vertical vector of photovoltaic modules is also on the slope s, so the normal vector perpendicular to the slope s c.由于向量分别垂直于所以: c. Due to the vector perpendicular to and so: d.向量确定后,可计算在X-Y轴平面上的方向角σ:d. Vector Once determined, it can be calculated Direction angle σ on the XY axis plane: σ=tan-1(AXX/AXY),其中AXY在Y轴上的分量,AXX在X轴上的分量;在坡面确定某行光伏组件的安装起点A1,以水平罗盘确定方向角为σ的水平直线方向,向坡面做投影所形成的直线,即为由A1点确定的方向为的光伏组件阵列的纵向安装方向;σ=tan -1 (AX X /AX Y ), where AX Y is The component on the Y axis, AX X is The component on the X-axis; determine the installation starting point A1 of a row of photovoltaic modules on the slope, determine the direction of the horizontal line with the direction angle σ with the horizontal compass, and project the straight line to the slope, which is determined by point A1 Direction is The vertical installation direction of the photovoltaic module array; e.阵列间距即为相邻两行光伏组件阵列的底边在方向上的距离;e. The array spacing is the bottom edge of two adjacent rows of photovoltaic module arrays. distance in direction; 9)组件在纵向向量方向上的实际投影长度LAX的计算方法如下:9) Components in vertical vector The actual projected length L AX in the direction is calculated as follows: 由于光伏组件侧边的单位向量为所以若光伏组件侧边的实际长度为LVL,则在方向上的实际阴影长度LAX为:Since the unit vector on the side of the photovoltaic module is Therefore, if the actual length of the side of the PV module is L VL , then in The actual shadow length L AX in the direction is: 10)光伏组件阵列的纵向行间距设计方法如下:10) The design method of the longitudinal row spacing of the photovoltaic module array is as follows: a.根据冬至日这一特殊的日期所具有日照条件的m个小时的平均太阳高度角和方向角数据,依据步骤7-9依次确定阴影在纵向向量上的各小时平均的投影长度其中i=1,2,..,m;a. According to the average solar altitude angle and direction angle data of m hours of sunshine conditions on the special date of winter solstice, determine the vertical vector of the shadow in sequence according to steps 7-9 Hourly average projection length on where i=1,2,..,m; b.将各按从小到大的顺序排序,形成序列Arr;b. will each Sort in ascending order to form the sequence Arr; c.根据光伏电站设计规范中对组件在一日内最低无遮挡小时数T的要求,在序列Arr中找到第T个变量该值即为满足无遮挡要求的行间间距的最小值。c. Find the Tth variable in the sequence Arr according to the requirement of the minimum unshaded hours T of the module in a day in the design specification of the photovoltaic power station This value is the minimum value of the spacing between lines to meet the requirement of no occlusion. 2.根据权利要求1所述一种针对非正南向坡面的光伏组件安装设计方法,其特征在于,所述向量的计算方法如下:2. According to claim 1, a photovoltaic module installation design method for non-southern slopes, characterized in that the vector The calculation method is as follows: a.向量在坡面s内,所以垂直于 a. Vector within slope s, so perpendicular to b.向量又在组件朝向面d内,所以垂直于 b. Vector Again in the component facing face d, so perpendicular to c.由于分别垂直于所以其中符号“×”为几何向量的“交叉乘积”运算;c. due to perpendicular to and so The symbol "×" is the "cross product" operation of geometric vectors; d.向量确定后,计算在X-Y轴平面上的方向角δ,d. Vector Once determined, calculate The orientation angle δ on the XY axis plane, δ=tan-1(SLX/SLY),其中SLY在Y轴上的分量,SLX在X轴上的分量;δ=tan -1 (SL X /SL Y ), where SL Y is The component on the Y axis, SL X is component on the x-axis; e.在坡面确定某行光伏组件的安装起点A1,以水平罗盘确定方向角为δ的水平直线方向,向坡面做投影所形成的直线,即为由A1点确定的方向为的该行光伏组件阵列的行向安装路线。e. Determine the installation starting point A1 of a row of photovoltaic modules on the slope, determine the direction of the horizontal line with a direction angle of δ with a horizontal compass, and project the line to the slope, that is, the direction determined by point A1 is The row-wise installation route of the row of photovoltaic module arrays. 3.根据权利要求1所述一种针对非正南向坡面的光伏组件安装设计方法,其特征在于,所述光伏组件支架与坡面的夹角γ的计算步骤如下:3. According to claim 1, a photovoltaic module installation design method for non-south-facing slopes, characterized in that the calculation steps of the angle γ between the photovoltaic module support and the slope are as follows: a.得到坡面s的法向量 a. Get the normal vector of the slope s b.得到光伏组件朝向面d的法向量 b. Obtain the normal vector of the photovoltaic module facing the face d c.由几何二面角定理:其中:符号“.”为几何向量的“数量积”运算,符号“||”为几何向量的“模值”运算;c. By the geometric dihedral angle theorem: Among them: the symbol "." is the "quantity product" operation of the geometric vector, and the symbol "||" is the "modulo value" operation of the geometric vector; d.此γ作为光伏支架所需要形成的倾角的设计要求。d. This γ is used as the design requirement for the inclination angle that the photovoltaic support needs to form.
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CN110021063A (en) * 2018-01-09 2019-07-16 特变电工新疆新能源股份有限公司 A kind of three dimensional arrangement method of the equivalent optimum angle of incidence plane of mountainous region photovoltaic array
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