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Simplified Lambert W-Function Math Equations When Applied to Photovoltaic Systems Modeling
IEEE Transactions on Industry Applications ( IF 4.4 ) Pub Date : 2021-01-19 , DOI: 10.1109/tia.2021.3052858
Santiago Pindado , Elena Roibas-Millan , Javier Cubas , Jose Miguel Alvarez , Daniel Alfonso-Corcuera , Juan L. Cubero-Estalrrich , Alejandro Gonzalez-Estrada , Marlon Sanabria-Pinzon , Rocio Jado-Puente

In this article, simplified and easy-to-work-with equations for the Lambert W-function are derived. This function is widely used to solve equations related to photovoltaic systems. More specifically, this mathematical function represents a useful tool when modeling solar cells/panels performance (that is, the current-voltage curve) by analytical approaches. However, the Lambert W-function has a complex solving process which might represent an unaffordable mathematical challenge for a great number of professionals/technicians in the photovoltaic industrial sector. Simple approximations for the Lambert W-function on both of its branches (positive and negative) are proposed in this article. The results of the present article show a simple but accurate way for photovoltaic systems modeling, even when these systems comprise a maximum power point tracking subsystem.

中文翻译:

简化的Lambert W函数数学方程式在光伏系统建模中的应用

在本文中,得出了Lambert W函数的简化且易于使用的方程式。该函数被广泛用于求解与光伏系统有关的方程。更具体地说,当通过分析方法对太阳能电池/电池板性能(即电流-电压曲线)进行建模时,该数学函数表示一种有用的工具。然而,Lambert W函数具有复杂的求解过程,对于光伏工业领域的许多专业人士/技术人员而言,这可能代表着难以承受的数学挑战。本文提出了Lambert W函数在其两个分支(正负)上的简单近似。本文的结果显示了一种简单但准确的光伏系统建模方法,
更新日期:2021-03-19
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