Mathematical model of photovoltaic systems for distributed maximum power point tracking

  • Elkin E. Henao-Bravo Instituto Tecnológico Metropolitano
  • David A. Márquez-Viloria Instituto Tecnológico Metropolitano
  • Juan P. Villegas-Ceballos Instituto Tecnológico Metropolitano
  • Sergio I. Serna-Garcés Instituto Tecnológico Metropolitano
  • Carlos A. Ramos-Paja Universidad Nacional de Colombia
  • Daniel González-Montoya Instituto Tecnológico Metropolitano
Keywords: MPPT, photovoltaic module, dynamic model, power electronics, renewable energies

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.

Author Biographies

Elkin E. Henao-Bravo, Instituto Tecnológico Metropolitano
Ingeniero Electrónico, M.Sc. en Ingeniería Eléctrica, Departamento de Mecatrónica y Electromecánica, Instituto Tecnológico Metropolitano. Medellín
David A. Márquez-Viloria, Instituto Tecnológico Metropolitano
Ingeniero Electrónico, M.Sc. en Ingeniería Electrónica, Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano. Medellín
Juan P. Villegas-Ceballos, Instituto Tecnológico Metropolitano
Ingeniero Electrónico. Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano. Medellín
Sergio I. Serna-Garcés, Instituto Tecnológico Metropolitano
Ingeniero Electrónico, M.Sc. en Ingeniería de Sistemas, Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano. Medellín
Carlos A. Ramos-Paja, Universidad Nacional de Colombia
Ph.D. en Electrónica, Automática y Comunicaciones, M.Sc. en Electrónica, M.Sc. en Ingeniería – Énfasis Automática, Departamento de Energía Eléctrica y Automática, Facultad de Minas, Universidad Nacional de Colombia. Medellín
Daniel González-Montoya, Instituto Tecnológico Metropolitano
Ingeniero de Control, M.Sc. en Ingeniería Automática. Departamento de Electrónica y Telecomunicaciones, Instituto Tecnológico Metropolitano. Medellín

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How to Cite
Henao-Bravo, E. E., Márquez-Viloria, D. A., Villegas-Ceballos, J. P., Serna-Garcés, S. I., Ramos-Paja, C. A., & González-Montoya, D. (2016). Mathematical model of photovoltaic systems for distributed maximum power point tracking. TecnoLógicas, 19(37), 107-124. https://doi.org/10.22430/22565337.88

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Published
2016-07-30
Section
Research Papers

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