In this paper we describe and compare the methods for the calculation of all the key points of the photovoltaic single-diode model. These include the short-circuit point, the open-circuit point, the maximum power point, the mean slope point, the maximum curvature point, and the jerk point. The main contribution of this paper is a new algorithm to obtain the maximum power point which is based on reducing its computation to solve a single-variable equation. Its unique solution leads to an explicit expression of the point by using a recent parametrization of the single-diode model current–voltage curve. In the numerical resolution of the previous equation, we will use as starting point the mean slope point which has been proved to be close to the maximum power point. Previously, we will provide for the first time in the literature an exact and explicit expression of the mean slope point. The new algorithm proposed reaches the accuracy of the best known numerical methods, but it is much faster, almost reaching the execution times of explicit formulas.

在本文中，我们描述并比较了光伏单二极管模型所有关键点的计算方法。这些包括短路点、开路点、最大功率点、平均斜率点、最大曲率点和加加速度点。本文的主要贡献是一种新的获得最大功率点的算法，该算法基于减少求解单变量方程的计算量。其独特的解决方案通过使用单二极管模型电流-电压曲线的最新参数化来明确表达该点。在前面方程的数值解析中，我们将使用已被证明接近最大功率点的平均斜率点作为起点。之前，我们将首次在文献中提供平均斜率点的精确且明确的表达。提出的新算法达到了最著名的数值方法的精度，但速度更快，几乎达到了显式公式的执行时间。