Solar Cells (SCs) energy-conversion technologies have been widely studied from their physical fundamentals to potential commercial applications. In particular, SCs Fill Factors ($FF$s) are a key factor for evaluating the transport efficiency of the photo-generated current and consequently the potential photovoltaic of the device. However, $FF$ dependence on other solar cell relevant electronic properties is not entirely clear, blearing the physical meaning of this factor. In this context, this work reports the derivation of a self-consistent and generalized analytical equation by using simple Shockley diode equation and Lambert W-function that explicitly relates solar cells $FF$s with simple key electronic parameters. The photo-generated ($J_L$)-to-reverse saturation ($J_0$) current density ratio ($J_L/J_0$) was the key parameter considered for this approach because of its considerable limiting impact on $FF$ magnitude. The accuracy of this equation was tested by an exhaustive contrast with a wide variety of experimental data for different solar cells technologies.

太阳能电池 (SC) 能量转换技术已从其物理基础到潜在的商业应用得到广泛研究。特别是，SCs 填充因子（$FF$s) 是评估光生电流传输效率以及器件潜在光伏的关键因素。然而，$FF$对其他太阳能电池相关电子特性的依赖并不完全清楚，模糊了该因素的物理意义。在这种情况下，这项工作报告了通过使用简单的肖克利二极管方程和明确关联太阳能电池的兰伯特 W 函数推导自洽和广义分析方程$FF$s 具有简单的关键电子参数。光生 ($J_{升}$) 到反向饱和 ($J_0$) 电流密度比 ($J_{升}/J_0$) 是该方法考虑的关键参数，因为它对 $FF$震级。该方程的准确性通过与不同太阳能电池技术的各种实验数据的详尽对比进行了测试。