Mathematical model of photovoltaic systems for distributed maximum power point tracking

Abstract

This paper presents a model of photovoltaic generation systems oriented to evaluate the performance of distributed maximum power point tracking algorithms. The model considers the series connection of n module-converter sets, which can be dimensioned depending on the particular application. This model is composed of an equation set that can be implemented in any mathematical analysis software or programming language that allows to solve this kind of equations. The proposed model also includes the static behavior of the photovoltaic module, described by one equation that estimates the current-voltage relation. Additionally, it includes a model of the Boost power electronic converter with inductor lost, which allows an approximation to realistic applications. The final model is validated using simulations, and it is compared with a traditional electronic simulation software implementation.

Keywords

• MPPT
• photovoltaic module
• dynamic model
• power electronics
• renewable energies