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A Unified Controller for Multi-State Operation of the Bi-Directional Buck–Boost DC-DC Converter

Author

Listed:
  • Gabriel R. Broday

    (Department of Electrical and Computer Engineering, Concordia University, Montreal, QC H3G 1M8, Canada)

  • Gilney Damm

    (Department of Components and Systems (COSYS), University Gustave Eiffel, 93162 Paris, France)

  • William Pasillas-Lépine

    (Laboratory of Signals and Systems (L2S), University of Paris-Saclay, 91190 Paris, France)

  • Luiz A. C. Lopes

    (Department of Electrical and Computer Engineering, Concordia University, Montreal, QC H3G 1M8, Canada)

Abstract

DC grid interfaces for supercapacitors (SCs) are expected to operate with a wide range of input voltages with fast dynamics. The class-C DC-DC converter is commonly used in this application because of its simplicity. However, it does not work if the output voltage ( V 2 ) becomes smaller than the input voltage ( V 1 ). The non-isolated bi-directional Buck–Boost DC-DC converter does not have this limitation. Its two half-bridges provide a means for controlling the power flow operating in the conventional dual-state mode, as well as multi-state, tri, and quad modes. These can be used for mitigating issues such as the Right Half Plane (RHP) zero that has a negative impact on the dynamic response of the system. Multi-state operation typically requires multi-variable control, which is not easy to realize with conventional PI-type controllers. This paper proposes a unified controller for multi-state operation. It employs a carrier-based modulation scheme with three modulation signals that allows the converter to operate in all four possible states and eight different modes of operation. A mathematical model is developed for devising a multi-variable control scheme using feedback linearization. This allows the design of control loops with simple PI controllers that can be used for all multi-state modes under a wide range of operating conditions with the same performance. The proposed scheme is verified by means of simulations.

Suggested Citation

  • Gabriel R. Broday & Gilney Damm & William Pasillas-Lépine & Luiz A. C. Lopes, 2021. "A Unified Controller for Multi-State Operation of the Bi-Directional Buck–Boost DC-DC Converter," Energies, MDPI, vol. 14(23), pages 1-21, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:23:p:7921-:d:688001
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    References listed on IDEAS

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    1. Ramy Georgious & Jorge Garcia & Mark Sumner & Sarah Saeed & Pablo Garcia, 2020. "Fault Ride-Through Power Electronic Topologies for Hybrid Energy Storage Systems," Energies, MDPI, vol. 13(1), pages 1-19, January.
    2. Seydali Ferahtia & Ali Djeroui & Tedjani Mesbahi & Azeddine Houari & Samir Zeghlache & Hegazy Rezk & Théophile Paul, 2021. "Optimal Adaptive Gain LQR-Based Energy Management Strategy for Battery–Supercapacitor Hybrid Power System," Energies, MDPI, vol. 14(6), pages 1-16, March.
    3. Xiaocong Li & Xin Chen, 2021. "A Multi-Index Feedback Linearization Control for a Buck-Boost Converter," Energies, MDPI, vol. 14(5), pages 1-14, March.
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    Citations

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    Cited by:

    1. Gabriel R. Broday & Luiz A. C. Lopes & Gilney Damm, 2022. "Exact Feedback Linearization of a Multi-Variable Controller for a Bi-Directional DC-DC Converter as Interface of an Energy Storage System," Energies, MDPI, vol. 15(21), pages 1-26, October.
    2. Humam Al-Baidhani & Abdullah Sahib & Marian K. Kazimierczuk, 2023. "State Feedback with Integral Control Circuit Design of DC-DC Buck-Boost Converter," Mathematics, MDPI, vol. 11(9), pages 1-18, May.

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