光伏电池工程用数学模型研究

光伏电池输出特性曲线方程是光伏发电理论研究的基础,本文结合该曲线和质点平抛运动轨迹的相似性,在原有的光伏电池工程指数模型基础上,首次提出了另一种更便于计算的光伏电池工程用数学模型。该模型的特点是用在三个不同重力场g0、g1和g2下的质点平抛的运动轨迹来代替光伏电池输出特性曲线。运用物理学中的平抛运动公式换算出电池输出特性曲线,通过调节g0、g1分界点的位置,使得本模型在不同的环境条件下最大功率点附近的误差尽可能小。实验表明该模型生成数据和实测数据的误差能满足工程精度要求,模型运算量和指数模型比较,减少了运算量。

Research on Engineering Analytical Model of Solar Cells

As the output characteristic curve of photovoltaic(PV) cell is the theoretical basis of PV Power.This paper starts from studying the similarity between the output characteristic curve of PV cell and the trajectories of the horizontal projectile motion.Also based on the original project index model of PV cell,this paper first proposes a new engineering mathematical model which is easier to calculate in practice.The characteristic of the new model is that it attempt to indirectly analyze the trajectories of the horizontal projectile motion under three different gravity g0,g1 and g2 instead of directly analyzing the output characteristic curve of PV cell.Using the horizontal projectile motion formula to carry out the conversion formula of output characteristic curve of PV cell,then through adjusting the demarcation points of g0 and g1,to make the error near the maximum power point(MPP),under varying environmental conditions,as small as possible.By comparing the measured data,it shows this model can meet the engineering requirement.What’s more,this new model reduces the computational complexity and improves the operation speed comparing with the original project index model.