Comparative Analysis of the Modelling of Photovoltaic Cells using different Numerical Integration Methods

This document Accurate modeling of photovoltaic (PV) devices is essential for improving the efficiency and integration of solar energy systems. Traditional analytical methods for modeling solar cells, although computationally efficient, often fail to capture the intricate nonlinear behavior of PV modules under varying conditions of irradiance, temperature, and partial shading. This paper introduces a comprehensive numerical framework for solar cell modeling that utilizes numerical integration techniques, offering greater precision in assessing the current–voltage (I–V) and power–voltage (P–V) characteristics of both single-diode and double-diode models. By employing numerical integration methods—specifically the trapezoidal and Simpson’s rules—on discretized data obtained from experimental or simulation sources, the proposed approach facilitates high-resolution analysis of energy output and dynamic performance metrics. Additionally, the model incorporates parameterization that depends on temperature and irradiance, allowing for adaptive simulations that reflect real-world operating conditions. Comparative studies reveal that the numerical integration-based model provides enhanced accuracy and flexibility compared to traditional closed-form solutions, especially in cases with discontinuities or non-uniform input profiles. This research lays the groundwork for incorporating advanced numerical techniques into the design, optimization, and real-time modelling of PV systems.