Abstract In the literature, one can find a lot of methods and techniques employed to estimate single diode solar photovoltaic (PV) cell parameters. The efficiency of these methods is usually tested by calculating the Root Mean Square Error (RMSE) between the measured and estimated values of the solar PV cell output current. In this work, first, the values of RMSE calculated using 69 different methods published in many journal papers for the well-known RTC France solar PV cell are presented and discussed. Second, a novel exact analytical solution for RMSE calculation based on the Lambert W function is proposed. The results obtained show that the RMSE values were not calculated correctly in most of the methods presented in the literature since the exact expression of the calculated cell output current was not used. Third, the precision of calculation of the methods used for analytical solving of Lambert W equation is presented and discussed. Fourth, the applicability of the proposed solution methodology in accordance with current-voltage characteristics measured in the laboratory for solar modules of Clean Energy Trainer Setup is checked. Identification of its unknown parameters is presented using three optimization techniques. Further, the proposed solution methodology is proven for Solarex MSX–60 PV module, and the most promising 5-parameter single diode parameters are estimated based on minimization of the precise RMSE values calculated. Finally, this work aimed to develop a good base for proper investigation and implementation of optimization algorithms to solve the parameter estimation problem of 5-parameter single diode PV equivalent circuits.

中文翻译：

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关于光伏模型参数估计的均方根误差 (RMSE) 计算：一种基于 Lambert W 函数的新型精确解析解

摘要 在文献中，可以找到许多用于估计单二极管太阳能光伏 (PV) 电池参数的方法和技术。这些方法的效率通常通过计算太阳能光伏电池输出电流的测量值和估计值之间的均方根误差 (RMSE) 来测试。在这项工作中，首先，介绍和讨论了使用 69 种不同方法计算的 RMSE 值，这些方法发表在许多期刊论文中，用于著名的 RTC France 太阳能光伏电池。其次，提出了一种新的基于朗伯 W 函数的 RMSE 计算精确解析解。获得的结果表明，在文献中介绍的大多数方法中，RMSE 值没有正确计算，因为没有使用计算出的电池输出电流的精确表达式。第三，介绍并讨论了朗伯W方程解析求解方法的计算精度。第四，根据在实验室中测量的清洁能源训练器设置的太阳能模块的电流-电压特性，检查所提出的解决方案方法的适用性。其未知参数的识别使用三种优化技术呈现。此外，所提出的解决方案方法已被证明适用于 Solarex MSX-60 PV 模块，并且最有希望的 5 参数单二极管参数是基于计算出的精确 RMSE 值的最小化来估计的。最后，这项工作旨在为正确研究和实施优化算法以解决 5 参数单二极管光伏等效电路的参数估计问题打下良好的基础。