Lucas Meirelles Pires Deotti, Ivo Chaves da Silva Junior
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引用次数: 0
Abstract
The single diode model is one of the most employed to represent the behavior of photovoltaic generators. Nonetheless, the transcendental nature of its characteristic equation requires that some mathematical approach be specifically adopted to allow the determination of its solution. In recent years, the approach via the Lambert W function has gained more and more popularity; however, the calculation of this special function still faces performance issues. That said, the present paper proposes a self-started predictor–corrector method for calculating the Lambert W function in the interval of interest of the single diode model. This method was properly designed to return high-quality solutions at a low and fixed computational cost. In this sense, the moderate complexity of its four equations stands out, as well as its non-conditional and non-iterative nature. The results obtained for appropriate case studies ascertain its elevated level of accuracy. Also, they demonstrate that it is more effective and faster than other state-of-the-art alternatives. Therefore, the paper’s major contribution is this novel method, which proves to be reliable, easy to implement, and useful for making the employment of the single diode model in studies more efficient.
单二极管模型是最常用来表示光伏发电机行为的模型之一。然而,由于其特征方程具有超越性,因此需要专门采用某种数学方法来确定其解法。近年来,通过兰伯特 W 函数求解的方法越来越受欢迎;然而,这种特殊函数的计算仍然面临着性能问题。因此,本文提出了一种自启动预测器-校正器方法,用于计算单二极管模型感兴趣区间内的兰伯特 W 函数。该方法设计合理,能以较低的固定计算成本返回高质量的解。从这个意义上讲,它的四个方程的适度复杂性,以及其非条件和非迭代性质都非常突出。在适当的案例研究中获得的结果证实了其较高的精确度。此外,这些结果还表明,它比其他最先进的替代方法更有效、更快速。因此,本文的主要贡献在于这种新颖的方法,它被证明是可靠的、易于实施的,并且有助于在研究中更有效地使用单二极管模型。
期刊介绍:
Solar Energy welcomes manuscripts presenting information not previously published in journals on any aspect of solar energy research, development, application, measurement or policy. The term "solar energy" in this context includes the indirect uses such as wind energy and biomass