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Renewable energy systems have become increasingly popular and are of great interest to researchers. In this paper, we aimed to propose a method that could outperform widely used maximum power point tracking (MPPT) methods, particularly the perturb and observe (P&O) method. We propose the Newton-Raphson method and compare its performance with the P&O method to evaluate its effectiveness in optimizing solar energy systems. This paper describes the advantages of applying the Newton-Raphson method for modelling an energy-efficient solar energy system. A detailed mathematical formulation of the proposed method is presented, incorporating the nonlinear current-voltage (I-V) characteristics of solar panels and power equations. The Newton-Raphson method is used to iteratively solve these equations, offering an efficient approach for determining the optimal operating point of the solar energy system. Obtained results indicate that while we do not claim the Newton-Raphson method is superior, our comparative analysis demonstrates its potential utility in optimizing the performance of solar energy systems. This paper contributes to the advancement of techniques in renewable energy systems, offering valuable insights that can lead to improved performance and reliability.