Abstract
Finding the roots of nonlinear equations is one of the most important computational problems and their applications. In this paper, a new algorithm is used to find the real roots of nonlinear equations of a single-diode solar cell by combining the Aitken's extrapolation algorithm (AEM) and the Newton-Raphson algorithm (NRM), describing, and comparing them. The extrapolation method in the form of Aitken –acceleration is applied for improvement the convergence of the iterative method (Newton-Raphson) method. Using anew improve to Aitken technique enables one to acquire efficiently the numerical solution of the single-diode solar cell equation. The speed of the proposed algorithms is compared by different values of the load resistance () in the range of and with the given voltage of the cell as an initial value in room temperature. The results showed that the proposed technique (AEM) is faster than (NRM); in addition, the current and power of the cell have been described and calculated.
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