Analysis of Nonlinear Dynamics of a Quadratic Boost Converter Used for Maximum Power Point Tracking in a Grid-Interlinked PV System

Abdelali El Aroudi, Mohamed Al-Numay, Germain Garcia, Khalifa Al Hossani, Naji Al Sayari and Angel Cid-Pastor
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Abdelali El Aroudi: Departament d Enginyeria Electrònica, Universitat Rovira i Virgili, Elèctrica i Automàtica, Av. Paisos Catalans, No. 26, 43007 Tarragona, Spain
Mohamed Al-Numay: Department of Electrical Engineering, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia
Germain Garcia: Laboratoire d’Analuse et Architecture des Systèmes, Centre Nationale de Recherche Scientifique (LAAS-CNRS), Institut National des Sciences Appliquées (INSA), 7 Avenue du Colonel Roche, 31077 Toulouse, France
Khalifa Al Hossani: Department of Electrical and Computer Engineering, Khalifa University of Science and Technology, Abu Dhabi, UAE
Naji Al Sayari: Department of Electrical and Computer Engineering, Khalifa University of Science and Technology, Abu Dhabi, UAE
Angel Cid-Pastor: Departament d Enginyeria Electrònica, Universitat Rovira i Virgili, Elèctrica i Automàtica, Av. Paisos Catalans, No. 26, 43007 Tarragona, Spain

Energies, 2018, vol. 12, issue 1, 1-23

Abstract: In this paper, the nonlinear dynamics of a PV-fed high-voltage-gain single-switch quadratic boost converter loaded by a grid-interlinked DC-AC inverter is explored in its parameter space. The control of the input port of the converter is designed using a resistive control approach ensuring stability at the slow time-scale. However, time-domain simulations, performed on a full-order circuit-level switched model implemented in PSIM © software, show that at relatively high irradiance levels, the system may exhibit undesired subharmonic instabilities at the fast time-scale. A model of the system is derived, and a closed-form expression is used for locating the subharmonic instability boundary in terms of parameters of different nature. The theoretical results are in remarkable agreement with the numerical simulations and experimental measurements using a laboratory prototype. The modeling method proposed and the results obtained can help in guiding the design of power conditioning converters for solar PV systems, as well as other similar structures for energy conversion systems.

Keywords: DC-DC converters; quadratic boost; maximum power point tracking (MPPT); nonlinear dynamics; subharmonic oscillations; photovoltaic (PV) (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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