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Bilinear Quadratic Feedback Control of Modular Multilevel Converters

Author

Listed:
  • Guacira Costa de Oliveira

    (Polytechnic School, University of São Paulo (USP), Avenida Professor Luciano Gualberto, 380-Butantã, Sao Paulo 05508-010, SP, Brazil
    Laboratoire des Signaux et Systèmes, CNRS-CentraleSupélec-Université Paris Saclay, 91190 Gif-sur-Yvette, France)

  • Renato Machado Monaro

    (Polytechnic School, University of São Paulo (USP), Avenida Professor Luciano Gualberto, 380-Butantã, Sao Paulo 05508-010, SP, Brazil)

  • Gilney Damm

    (COSYS-IMSE, Univ Gustave Eiffel, IFSTTAR, F-77447 Marne-la-Vallée, France)

  • Filipe Perez

    (SuperGrid Institute, 23 Rue de Cyprian, 69100 Villeurbane, France)

  • Miguel Jimenez Carrizosa

    (Centro de Electrónica Industrial, UPM, José Gutiérrez Abascal 2, 28006 Madrid, Spain)

Abstract

The present paper introduces the formulation and development of a bilinear quadratic control algorithm for Modular Multilevel Converter (MMCs), with a specific emphasis on achieving internal energy stabilization and balance within the converter. A bilinear average model of the MMC is employed, enabling the separation between the DC voltage and the voltage generated by submodules. The algorithm proposed in this study is formulated using bilinear theory and is founded on quadratic feedback control principles. The stability of the suggested controller is scrutinized using a meticulous mathematical approach based on Lyapunov theory. Subsequently, the theoretical findings are assessed using a comprehensive MMC switching model implemented in Matlab Simscape Electrical. The utilization of a phase-shift PWM technique, accompanied by a sorting algorithm, is considered in the study. Additionally, a comparison between the proposed bilinear controller and a standard PI controller is conducted. The outcomes demonstrate that the proposed controller effectively facilitates the regulation of circulating and AC currents, along with managing the internal energy of MMCs. Consequently, this achievement makes a noteworthy contribution to the field, as it introduces an innovative bilinear control approach capable of stabilizing all the state variables of MMCs converters using a single control law.

Suggested Citation

  • Guacira Costa de Oliveira & Renato Machado Monaro & Gilney Damm & Filipe Perez & Miguel Jimenez Carrizosa, 2023. "Bilinear Quadratic Feedback Control of Modular Multilevel Converters," Energies, MDPI, vol. 16(18), pages 1-23, September.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:18:p:6713-:d:1243455
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    References listed on IDEAS

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    1. Zheren Zhang & Yanqiu Jin & Zheng Xu, 2023. "Modeling and Control of Modular Multilevel Matrix Converter for Low-Frequency AC Transmission," Energies, MDPI, vol. 16(8), pages 1-22, April.
    2. Panos M. Pardalos & Vitaliy Yatsenko, 2008. "Control of Bilinear Systems," Springer Optimization and Its Applications, in: Optimization and Control of Bilinear Systems, chapter 0, pages 65-91, Springer.
    3. Matthias Quester & Fisnik Loku & Otmane El Azzati & Leonel Noris & Yongtao Yang & Albert Moser, 2021. "Investigating the Converter-Driven Stability of an Offshore HVDC System," Energies, MDPI, vol. 14(8), pages 1-27, April.
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