Robust Distributed Secondary Voltage Restoration Control of AC Microgrids under Multiple Communication Delays

Milad Gholami, Alessandro Pilloni, Alessandro Pisano and Elio Usai
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Milad Gholami: Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, 09123 Cagliari, Italy
Alessandro Pilloni: Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, 09123 Cagliari, Italy
Alessandro Pisano: Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, 09123 Cagliari, Italy
Elio Usai: Department of Electrical and Electronic Engineering (DIEE), University of Cagliari, 09123 Cagliari, Italy

Energies, 2021, vol. 14, issue 4, 1-22

Abstract: This paper focuses on the robust distributed secondary voltage restoration control of AC microgrids (MGs) under multiple communication delays and nonlinear model uncertainties. The problem is addressed in a multi-agent fashion where the generators’ local controllers play the role of cooperative agents communicating over a network and where electrical couplings among generators are interpreted as disturbances to be rejected. Communications are considered to be affected by heterogeneous network-induced time-varying delays with given upper-bounds and the MG is subjected to nonlinear model uncertainties and abrupt changes in the operating working condition. Robustness against uncertainties is achieved by means of an integral sliding mode control term embedded in the control protocol. Then, the global voltage restoration stability, despite the communication delays, is demonstrated through a Lyapunov-Krasovskii analysis. Given the delays’ bounds, and because the resulting stability conditions result in being non-convex with respect to the controller gain, then a relaxed linear matrix inequalities-based tuning criteria is developed to maximize the controller tuning, thus minimizing the restoration settling-time. By means of that, a criteria to estimate the maximal delay margin tolerated by the system is also provided. Finally, simulations on a faithful nonlinear MG model, showing the effectiveness of the proposed control strategy, are further discussed.

Keywords: microgrid; voltage control; multi-agent systems; secondary control; sliding mode control; time delay systems; consensus algorithms; linear matrix inequalities (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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