Bifurcation Analysis of a Photovoltaic Power Source Interfacing a Current-Mode-Controlled Boost Converter with Limited Current Sensor Bandwidth for Maximum Power Point Tracking

Edwige Raissa Mache Kengne, Alain Soup Tewa Kammogne (), Martin Siewe Siewe, Thomas Tatietse Tamo, Ahmad Taher Azar (), Ahmed Redha Mahlous, Mohamed Tounsi and Zafar Iqbal Khan
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Edwige 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
Martin Siewe Siewe: Laboratory of Mechanics, Materials and Structures, Faculty of Science, Department of Physics, University of Yaounde 1, Yaounde P.O. Box 812, 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
Mohamed Tounsi: College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Zafar Iqbal Khan: College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Sustainability, 2023, vol. 15, issue 7, 1-19

Abstract: The presence of a high ripple in the inductor current of a DC-DC converter in a photovoltaic converter chain leads to a considerable decrease in the energy efficiency of the converter. To solve this problem, we consider a current-mode control and for economic reasons we used a single inductor current sensor with a low-pass filter. The purpose of the low-pass filter is to minimize the effect of ripple in the inductor current by taking only the DC component of the signal at the output of the sensor for tracking the maximum power point. The objective of this paper is therefore to study the stability of the photovoltaic system as a function of the filter frequency while maintaining a good power level. First, we propose a general modeling of the whole system by linearizing the PV around the maximum power point. Floquet theory is used to determine analytically the stability of the overall system. The fourth-order Runge–Kutta method is used to plot bifurcation diagrams and Lyapunov exponents in MATLAB/SIMULINK when the filter frequency varies in a limited range and the ramp amplitude is taken as a control parameter. Secondly, the PSIM software is used to design the device and validate the results obtained in MATLAB/SIMULINK. The results depicted in MATLAB/SIMULINK are in perfect agreement with those obtained in PSIM. We found that not only is the energy level maintained at the maximum power level of 85.17 W, but also that the stability range of the photovoltaic system increased with the value of the filter cut-off frequency. This research offers a wider range of parameters for stability control of photovoltaic systems contrarily to others found in literature.

Keywords: current-mode control; photovoltaic system; bifurcations diagrams and Lyapunov exponent graphics; Runge–Kutta method; Matlab and PSIM software (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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