Advanced Double Diode Modeling of Photovoltaic Cell Using Weddle Numerical Integration Rule for High-Accuracy Photovoltaic Parameter Estimation

Authors:

R.IssanRaj

Department of Electronics and Instrumentation Engineering & SRM Valliammai Engineering College, Kattankulathur, Chennai.

Abstract - Accurate modeling of photovoltaic systems is crucial for enhancing energy efficiency, energy management and maximum power point tracking. The double diode model is recognized for its accuracy as it accounts for both diffusion and recombination losses in semiconductor junctions of photovoltaic systems. However its nonlinear nature complicates parameter extraction under changing light and temperature conditions. This paper introduces a numerical modeling approach for double diode solar cells using the Weddle numerical integration rule. The Weddle numerical integration rule effectively solves the current-voltage equation with improved accuracy and reduced errors by employing seventh-order Newton–Cotes integration. The double diode model implemented in MATLAB/Simulink is tested against environmental. The performance of the Weddle-based diode model is compared with various optimization and numerical methods, including Newton–Raphson and Lambert W-function techniques. The evaluation metrics used are Root Mean Square Error, Mean Bias Error, convergence rate, computational time and statistical accuracy. Results indicate that the Weddle-rule-based double diode model offers convergence and significantly lower estimation errors achieving a Root Mean Square Error of 0.00187, which surpasses recent numerical techniques. This advanced modeling approach is well-suited for photovoltaic systems smart grids, IoT-enabled monitoring and AI-driven renewable energy forecasting using photovoltaic systems and double diode models.

Key Words:  Double diode model, photovoltaic modelling, Weddle rule, numerical integration, solar cell parameter estimation, renewable energy systems, photovoltaic optimization.