基于有效集算法的大功率单色LED太阳光谱模拟仿真

利用单色LED实现对AM1.5标准太阳光谱可见光（380~780 nm）波段和标准光源CIE-D65的匹配，提出了通过有效集算法作为目标光谱的匹配算法，将Epitex公司的大功率单色LED的峰值波长和半高全宽数据作为有效集，并建立了一个数据库。将相关指数R²最大作为优化目标，通过MATLAB编程求解超定方程组的最小二乘解求出拟合所需要的单色LED的种类和数量。拟合AM1.5可见光的最佳组合中使用24种单色LED，相关指数R²高达0.850 2，拟合标准光源CIE-D65的最佳组合中使用25种单色LED，相关指数R²高达0.940 5。进行了增加LED和减少LED的优化实验。得出的结果对工程实践中单色LED拟合太阳光谱的研究提供了理论基础。

Simulation of High Power Monochromatic LED Solar Spectrum Based on Effective Set Algorithm

The matching of AM1.5 standard solar spectrum in visible light (380-780 nm) with standard light source of CIE-D65 was realized using monochromatic LED, and the matching algorithm of the target spectrum was put forward using active set algorithm. The peak wavelength and FWHM of Epitex's high-power monochromatic LED were used as the effective data set, and a database was established. The maximum correlation index R² was used as the optimization objective. The least squares solution of overdetermined equations was solved by MATLAB programming, and the type and quantity of monochromatic LED needed for fitting were obtained. 24 kinds of monochromatic LED are used in the best combination of AM1.5 visible light fitting, and the correlation index R² is as high as 0.850 2. 25 kinds of monochromatic LED are used in the best combination of standard light source CIE-D65 fitting, and the correlation index R² is as high as 0.940 5. The optimization experiments of increasing and reducing LED numbers were carried out too. The results provide a theoretical basis for the study of monochromatic LED fitting solar spectrum in engineering practice.