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On the Robust Distributed Secondary Control of Islanded Inverter-Based Microgrids

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Variable-Structure Systems and Sliding-Mode Control

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 271))

Abstract

In this chapter, some recent results of applications of sliding-mode control strategies for solving the AC microgrid secondary restoration control problem are discussed. The control problem is formulated in a distributed way in accordance with the leader–follower consensus paradigm thus avoiding centralized decision-making. The control schemes are robust in the sense that the voltage and frequency restoration of an inverter-based islanded microgrid is achieved under severe uncertainties affecting the grid and load dynamical models and parameters. In this chapter, two distributed sliding-mode-based control strategies are discussed. The first approach performs the task in finite time exploiting instantaneous communications among distributed generators, whereas the second one attains the goal with an exponential convergence rate by taking into account delayed communications among generators. Both the proposed strategies yield continuous control actions, with discontinuous time derivative, that can safely be pulse-width modulated by a fixed-frequency carrier, as required to not hurt the switching power artifacts. The performance of the proposed schemes is analyzed by means of Lyapunov tools and verified by means of numerical simulations taken in different operative scenarios.

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Acknowledgements

The research leading to these results has been partially supported by P.O.R. SARDEGNA F.S.E. 2014-2020 - Asse III “Istruzione e Formazione, Obiettivo Tematico: 10, Obiettivo Specifico: 10.5, Azione dell’accordo fi Partenariato:10.5.12 “Avviso di chiamata per il finanziamento di Progetti di ricerca - Anno 2017” and, by Fondazione di Sardegna under project ODIS - Optimization of DIstributed systems in the Smart-city and smart-grid settings, CUP:F72F16003170002, and by the Sardinian Regional Government, call “Cluster top-down actions (POR FESR)”, project “Virtual Energy”, and by project RASSR05871 MOSIMA, FSC 2014-2020, Annualita’ 2017, Area Tematica 3, Linea d’Azione 3.1.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, Piazza d’Armi, Cagliari, Italy

    Alessandro Pilloni, Milad Gholami, Alessandro Pisano & Elio Usai

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  1. Alessandro Pilloni
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  2. Milad Gholami
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  3. Alessandro Pisano
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  4. Elio Usai
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Correspondence to Alessandro Pilloni .

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Editors and Affiliations

  1. Institute of Automation and Control, Graz University of Technology, Graz, Austria

    Martin Steinberger

  2. Institute of Automation and Control, Graz University of Technology, Graz, Austria

    Martin Horn

  3. Control Engineering and Robotics Department, National Autonomous University of Mexico, Mexico City, Distrito Federal, Mexico

    Leonid Fridman

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Pilloni, A., Gholami, M., Pisano, A., Usai, E. (2020). On the Robust Distributed Secondary Control of Islanded Inverter-Based Microgrids. In: Steinberger, M., Horn, M., Fridman, L. (eds) Variable-Structure Systems and Sliding-Mode Control. Studies in Systems, Decision and Control, vol 271. Springer, Cham. https://doi.org/10.1007/978-3-030-36621-6_11

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