The gallium content-dependent theoretical limit of the efficiencies of Cu ( In , Ga ) Se2 solar cells were studied using a MATLAB model developed based on the Shockley–Queisser detailed balance. The developed model included the temperature dependence of the bandgap according to the gallium content. The original Shockley–Queisser detailed-balance and the developed model at the ASTM G173-03 AM1.5G solar irradiance were used to calculate the gallium content and solar cell temperature-dependent theoretical efficiency limits of a Cu ( In1 − xGax ) Se2-based solar cell. Due to the spectral distribution of the solar irradiance, there were two “peaks” of efficiency: one at values of x around 0.2 prevails at lower temperatures and the other at values of x around 0.6 higher at temperatures above 0°C. Consequently, there is a “pit” with a minimum at x of around 0.5. Values of x corresponding to these values are higher for the temperature-dependent bandgap model. The calculated relative difference between the ultimate efficiency limit and the theoretical efficiency at x = 0.3 at 310 K is <1 % .

中文翻译：

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在 AM1.5G 太阳辐照度下 CIGS 太阳能电池的镓含量依赖效率限制

使用基于 Shockley-Queisser 详细平衡开发的 MATLAB 模型研究了与镓含量相关的 Cu (In, Ga) Se2 太阳能电池效率的理论极限。开发的模型包括根据镓含量的带隙温度依赖性。原始的 Shockley-Queisser 详细天平和在 ASTM G173-03 AM1.5G 太阳辐照度下开发的模型用于计算基于 Cu ( In1 − xGax ) Se2 的镓含量和太阳能电池温度相关的理论效率极限太阳能电池。由于太阳辐照度的光谱分布，有两个效率“峰值”：一个在 x 值在 0.2 左右时在较低温度下占优势，另一个在 x 值在 0°C 以上时高出 0.6 左右。最后，有一个“坑”，x 处的最小值约为 0.5。对于温度相关带隙模型，对应于这些值的 x 值更高。在 310 K 下 x = 0.3 时，计算出的最终效率极限与理论效率之间的相对差异 <1%。