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Volume 9 Issue 4
Apr.  2022

IEEE/CAA Journal of Automatica Sinica

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J. K. Peng, B. Fan, Z. H. Tu, W. Zhang, and W. X. Liu, “Distributed periodic event-triggered optimal control of DC microgrids based on virtual incremental cost,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 4, pp. 624–634, Apr. 2022. doi: 10.1109/JAS.2022.105452
Citation: J. K. Peng, B. Fan, Z. H. Tu, W. Zhang, and W. X. Liu, “Distributed periodic event-triggered optimal control of DC microgrids based on virtual incremental cost,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 4, pp. 624–634, Apr. 2022. doi: 10.1109/JAS.2022.105452

Distributed Periodic Event-Triggered Optimal Control of DC Microgrids Based on Virtual Incremental Cost

doi: 10.1109/JAS.2022.105452
Funds:  This work was supported by the U.S. Office of Naval Research (N00014-21-1-2175)
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  • This article presents a distributed periodic event-triggered (PET) optimal control scheme to achieve generation cost minimization and average bus voltage regulation in DC microgrids. In order to accommodate the generation constraints of the distributed generators (DGs), a virtual incremental cost is firstly designed, based on which an optimality condition is derived to facilitate the control design. To meet the discrete-time (DT) nature of modern control systems, the optimal controller is directly developed in the DT domain. Afterward, to reduce the communication requirement among the controllers, a distributed event-triggered mechanism is introduced for the DT optimal controller. The event-triggered condition is detected periodically and therefore naturally avoids the Zeno phenomenon. The closed-loop system stability is proved by the Lyapunov synthesis for switched systems. The generation cost minimization and average bus voltage regulation are obtained at the equilibrium point. Finally, switch-level microgrid simulations validate the performance of the proposed optimal controller.

     

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    Highlights

    • A distributed periodic event-triggered optimal control scheme for dc microgrids
    • Achieve generation cost minimization and average bus voltage regulation simultaneously
    • The discrete-time design is suitable for digital controllers and communication systems
    • The distributed event-triggered mechanism reduces communication requirements

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