摘要
针对光伏参数求解繁琐、准确度不高、需要实验测试的弊端,提出一种利用两条二阶Bezier曲线和逆最小二乘法相结合的薄膜太阳电池参数辨识方法。首先,构造过最大功率点且平行于开路电压点和短路电流点连线的平行线,并在该平行线上寻找两条二阶Bezier函数的最佳控制点,进而给出控制位置与薄膜太阳电池填充因子的线性规律,实现对I-V曲线简单、准确地刻画;然后,利用等效变换简化薄膜太阳电池输出特性超越方程,引入5个新的变量将超越方程改造为代数方程,随机选取Bezier曲线上的5个点,通过代数计算和欧几里得范数的(伪)解给出5个变量的值,并基于所得的变量结果,利用逆最小二乘法反向求解出超越方程的5个参数。最后,以5种不同型号薄膜太阳电池为例,对不同条件下的参数和求解时间进行对比和分析,验证该方法具备快速性、准确性和适用性。
Aiming at the drawbacks of tedious solving of photovoltaic parameters,low accuracy and need for experimental testing,a method of identifying parameters of thin film cells using a combination of two second-order Bezier curves and the inverse least squares method is proposed.Firstly,a parallel line is constructed through the maximum power point and parallel to the line connecting the open-circuit voltage point and the short-circuit current point,and the best control point of the two second-order Bezier functions is found on the parallel line.And then the linear law of the control position and the filling factor of the thin-film cell is obtained to achieve a simple and accurate portrayal of the I-V curve.Thirdly,the output characteristic transcendence equation of the thin-film cell is simplified by using the equivalent transformation,and the Five new variables are introduced to transform the transcendental equation into an algebraic equation,five points on the Bezier curve are randomly selected,and the values of the five variables are given by algebraic calculation and(pseudo-)solution of Euclidean parametrization,and the five parameters of the transcendental equation are solved backwards by inverse least squares method using the obtained variable results.Finally,the parameters and solution times under different operating conditions are compared and analyzed for five different types of thin-film cells to verify the rapidity,accuracy and applicability of the method.
作者
朱显辉
高彬
师楠
朱晓强
钟敬文
Zhu Xianhui;Gao Bin;Shi Nan;Zhu Xiaoqiang;Zhong Jingwen(School of Electric and Control Engineering,Heilongjiang University of Science and Technology,Harbin 150022,China;Engineering Training and Basic Experiment Center,Heilongjiang University of Science and Technology,Harbin 150022,China;School of Electrical and Electronic Engineering,Harbin University of Science and Technology,Harbin 150080,China)
出处
《太阳能学报》
EI
CAS
CSCD
北大核心
2023年第6期204-212,共9页
Acta Energiae Solaris Sinica
基金
国家自然科学基金(51677057)。