Photovoltaic Systems Based on Average Current Mode Control: Dynamical Analysis and Chaos Suppression by Using a Non-Adaptive Feedback Outer Loop Controller

Edwidge Raissa Mache Kengne, Alain Soup Tewa Kammogne (), Thomas Tatietse Tamo, Ahmad Taher Azar (), Ahmed Redha Mahlous and Saim Ahmed
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Edwidge Raissa Mache Kengne: Laboratory of Condensed Matter, Electronics and Signal Processing (LAMACETS), Department of Physics, Faculty of Sciences, University of Dschang, Dschang P.O. Box 67, Cameroon
Alain Soup Tewa Kammogne: Laboratory of Condensed Matter, Electronics and Signal Processing (LAMACETS), Department of Physics, Faculty of Sciences, University of Dschang, Dschang P.O. Box 67, Cameroon
Thomas Tatietse Tamo: Laboratory of Condensed Matter, Electronics and Signal Processing (LAMACETS), Department of Physics, Faculty of Sciences, University of Dschang, Dschang P.O. Box 67, Cameroon
Ahmad Taher Azar: College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Ahmed Redha Mahlous: College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Saim Ahmed: College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Sustainability, 2023, vol. 15, issue 10, 1-24

Abstract: This paper deals with the modeling and theoretical study of an average-current-mode-controlled photovoltaic power conversion chain. It should be noted that current mode control is a superior scheme for controlling DC–DC power electronic converters for photovoltaic applications. Bifurcation diagrams, largest Lyapunov exponents, Floquet theory, and time series are used to study the dynamics of the system. The theoretical results show the existence of subharmonic oscillations and period-1 oscillations in the system. The results of the numerical simulations showed that when the battery voltage at the output of the converter is fixed and ramp amplitude is taken as a control parameter, the photovoltaic power system exhibits the phenomenon of period doubling leading to chaotic dynamics. Furthermore, bifurcation diagrams showed that both the critical value of ramp amplitude for the occurrence of border collision bifurcation and the critical value of ramp amplitude for the occurrence of period-1 in the proposed system increased with the value of the battery terminal voltage. The numerical results are in accordance with the theoretical ones. Finally, an external control based on a non-adaptive controller having a sinusoidal function as a target is applied to the overall system for the suppression of chaotic behavior.

Keywords: photovoltaic systems; average current mode control; Floquet theory; chaos; subharmonic; non-adaptive feedback control; chaos suppression (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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