An Iterative Approach for Modeling a Photovoltaic Module using the Complete Single-Diode Model

Accurate modeling of photovoltaic generators (cells, modules and arrays) is an important leap towards simulating and optimizing the efficiency of these systems. The modeling proposed here relies on the complete single-diode model as equivalent circuit of the solar module. To perform such modeling, an iterative approach based on the Newton Raphson's numerical method is executed to identify five unknown parameters imposed by this model. Three photovoltaic modules of different technologies are used to validate the presented modeling: Mono-crystalline JKM32SM-72, Poly-crystalline KD13SGX-LP, and the Thin film Shell ST40. The algorithm developed by detailed mathematical equations is implemented using the script file in MATLAB software, and its results include the five parameters, power-voltage and current-voltage characteristic curves of the reference PV modules at standard test condition and nominal operating cell temperature condition, and the modeled values of voltage, current and power at the maximum power point. The accuracy of the modeling is evaluated by comparing the modeled peak power to the reported experimental one provided by each photovoltaic module manufacturer.