绘制太阳电池模型温度相关I-V曲线的直接方法

IF 0.9 Q4 GEOCHEMISTRY & GEOPHYSICS Solar-Terrestrial Physics Pub Date : 2022-11-04 DOI:10.3390/solar2040030
Rolf Klein
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引用次数: 0

摘要

太阳能电池等效电路模型对于理解不同天气条件下光伏系统的行为具有重要意义。他们提供了一个方程F(V,I)=0,表达了电压V和电流I之间的对应关系。电池的性能,因此,方程F的参数,取决于电池的温度和入射光的能量和角度。人们希望实时地模拟和可视化这些依赖关系。给定一组固定的参数,方程F(V,I)=0的初等解s(V)=I不已知。因此,电路仿真系统采用数值方法来求解该方程并近似电路的I-V曲线(CIV)。在本文中,我们提出一个更简单的方法。我们没有将I表示为V的函数,而是表示为实参数u的初等函数V(u)和I(u)。这样,I - V曲线CIV就得到了m(u)=(V(u),I(u))从u区间映射到vi平面的像。我们的方法既提供了《文明》的精确数学描述,也提供了一种简单的绘制方法。这让我们能够通过流畅的动画研究环境变化对《文明》的影响,但方法却相当简单。本文以温度依赖性为例;辐照度或角度的变化也可以考虑在内。使用文献中建议的公式来描述方程F(V,I)=0中的参数如何依赖于温度,只需要几行代码就可以生成一个交互式工作表,该工作表显示CIV,最大功率点MPP的位置和最大功率随电路温度的变化如何在滑块上改变。这样一个工作表和它的位置将在本文中提出。
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A Straightforward Approach to Drawing Temperature-Dependent I–V Curves of Solar Cell Models
Equivalent circuit models of solar cells are important for understanding the behavior of photovoltaic systems under different weather conditions. They provide an equation F(V,I)=0 that expresses the correspondence between voltage V and current I a cell can deliver. The performance of a cell, and, therefore, the parameters of equation F, depend on the cell’s temperature and on the incoming light’s energy and angle. One would like to simulate and visualize these dependencies in real time. Given a fixed set of parameters, no elementary solution s(V)=I of Equation F(V,I)=0 is known. Hence, circuit simulation systems employ numerical methods to solve this equation and to approximate the circuit’s I–V curve, CIV. In this note, we propose a simpler approach. Instead of expressing I as a function of V, we represent both as elementary functions V(u) and I(u) of a real parameter u. In this way, the I–V curve CIV is obtained as the image of the mapping m(u)=(V(u),I(u)) from a u-interval to the VI-plane. Our approach offers both a precise mathematical description of CIV and an easy way to draw it. This allows us to study the influence of environmental changes on CIV by smooth animations, and yet with rather simple means. In this paper, we consider temperature dependence as an example; changes in irradiance or angle could be incorporated as well. Using formulae suggested in the literature that describe how the parameters in equation F(V,I)=0 depend on temperature, it takes only a few lines of code to generate an interactive worksheet that shows how CIV, the location of the maximum power point MPP and the maximum power change as the circuit’s temperature, is altered on a slider. Such a worksheet and its location will be presented in this paper.
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来源期刊
Solar-Terrestrial Physics
Solar-Terrestrial Physics GEOCHEMISTRY & GEOPHYSICS-
CiteScore
1.50
自引率
9.10%
发文量
38
审稿时长
12 weeks
期刊最新文献
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