4.7 Article

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

Journal

IEEE-CAA JOURNAL OF AUTOMATICA SINICA
Volume 9, Issue 4, Pages 624-634

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JAS.2022.105452

Keywords

Bus voltage regulation; DC microgrids; event-triggered control; distributed optimal control; generation cost minimization

Funding

  1. U.S. Office of Naval Research [N00014-21-1-2175]

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This article presents a distributed periodic event-triggered optimal control scheme for generation cost minimization and average bus voltage regulation in DC microgrids. The proposed scheme utilizes a virtual incremental cost and a distributed event-triggered mechanism to improve system performance.
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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