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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Abdelali El Aroudi & Mohamed Al-Numay & Germain Garcia & Khalifa Al Hossani & Naji Al Sayari & Angel Cid-Pastor, 2018. "Analysis of Nonlinear Dynamics of a Quadratic Boost Converter Used for Maximum Power Point Tracking in a Grid-Interlinked PV System," Energies, MDPI, vol. 12(1), pages 1-23, December.
    • Handle: RePEc:gam:jeners:v:12:y:2018:i:1:p:61-:d:193177
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    References listed on IDEAS

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    1. Eduardo Manuel Godinho Rodrigues & Radu Godina & Mousa Marzband & Edris Pouresmaeil, 2018. "Simulation and Comparison of Mathematical Models of PV Cells with Growing Levels of Complexity," Energies, MDPI, vol. 11(11), pages 1-21, October.
    2. Paula Andrea Ortiz Valencia & Carlos Andres Ramos-Paja, 2015. "Sliding-Mode Controller for Maximum Power Point Tracking in Grid-Connected Photovoltaic Systems," Energies, MDPI, vol. 8(11), pages 1-25, November.
    3. Haidar Islam & Saad Mekhilef & Noraisyah Binti Mohamed Shah & Tey Kok Soon & Mehdi Seyedmahmousian & Ben Horan & Alex Stojcevski, 2018. "Performance Evaluation of Maximum Power Point Tracking Approaches and Photovoltaic Systems," Energies, MDPI, vol. 11(2), pages 1-24, February.
    4. Liying Huang & Dongyuan Qiu & Fan Xie & Yanfeng Chen & Bo Zhang, 2017. "Modeling and Stability Analysis of a Single-Phase Two-Stage Grid-Connected Photovoltaic System," Energies, MDPI, vol. 10(12), pages 1-14, December.
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    Cited by:

    1. Hyun Shin & Sang Heon Chae & Eel-Hwan Kim, 2021. "Unbalanced Current Reduction Method of Microgrid Based on Power Conversion System Operation," Energies, MDPI, vol. 14(13), pages 1-16, June.
    2. Edwidge Raissa Mache Kengne & Alain Soup Tewa Kammogne & Thomas Tatietse Tamo & Ahmad Taher Azar & Ahmed Redha Mahlous & Saim Ahmed, 2023. "Photovoltaic Systems Based on Average Current Mode Control: Dynamical Analysis and Chaos Suppression by Using a Non-Adaptive Feedback Outer Loop Controller," Sustainability, MDPI, vol. 15(10), pages 1-24, May.
    3. Edwige Raissa Mache Kengne & Alain Soup Tewa Kammogne & Martin Siewe Siewe & Thomas Tatietse Tamo & Ahmad Taher Azar & Ahmed Redha Mahlous & Mohamed Tounsi & Zafar Iqbal Khan, 2023. "Bifurcation Analysis of a Photovoltaic Power Source Interfacing a Current-Mode-Controlled Boost Converter with Limited Current Sensor Bandwidth for Maximum Power Point Tracking," Sustainability, MDPI, vol. 15(7), pages 1-19, March.

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