Development and comparative analysis of implicit and explicit models for system-level performance analysis of photovoltaic modules integrated to a practical boost converter

Efficient and cost-effective solar energy conversion is essential in developing photovoltaic systems, where modeling plays a key role in system design and control. The paper proposes a comprehensive modeling and analysis framework that incorporates the dynamic non-ideal behavior of boost converters and varying load conditions typical of practical PV systems. Using both implicit and explicit modeling techniques, the single-diode model evaluates the effects of integrating a boost converter on PV performance. Two implicit models, based on the fzero and fsolve methods, are compared with the Lambert W function used as an explicit model. The models are evaluated in terms of computational time, number of iterations, and accuracy. Analytically extracted PV curves from different modeling approaches under various irradiance levels are validated experimentally. The Lambert W model reduces PV curve computation time by approximately three times compared to fzero and ten times compared to fsolve, while requiring no iterations. It also maintains a good accuracy of approximately 7%, closely matching measured data. This study offers practical insights for selecting suitable modeling methods for optimizing PV system performance.