ANÁLISE E APLICAÇÃO DO MÉTODO DE NEWTON-RAPHSON NA DETERMINAÇÃO DOS PARÂMETROS DO CIRCUITO EQUIVALENTE DE CÉLULAS SOLARES

Abstract

In this study, the Newton-Raphson method was evaluated for determining the parameters of the equivalent circuit of solar cells, particularly in the context of the single diode model composed of five parameters. One of the challenges faced was the difficulty in finding initial values close enough to the solution to guarantee the convergence of the Newton-Raphson method. To overcome this difficulty, a procedure for modeling and simulating commercial photovoltaic modules was presented, which was carefully validated by comparing it with the current-voltage (I-V) curves provided by the manufacturers. In this context, the innovation presented in this methodology involved proposing new equations to calculate the initial variables needed to apply the Newton-Raphson method. In addition, a reduction constant was introduced to mitigate potential convergence problems, to improve the efficiency of the method. These combined approaches enabled a detailed analysis of the convergence dynamics of the Newton-Raphson method, highlighting its remarkable ability to approach accurate solutions, even when faced with the inherent difficulty of finding suitable initial values. This approach proved promising for determining the equivalent circuit parameters of solar cells, highlighting the need to understand the complexities and limitations underlying theoretical models.