Robust Decentralized Tracking Voltage Control for Islanded Microgrids by Invariant Ellipsoids

Hisham M. Soliman, Ehab Bayoumi, Amer Al-Hinai and Mostafa Soliman
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Hisham M. Soliman: Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat 123, Oman
Ehab Bayoumi: Department of Electrical and Electronics Engineering, University of Eswatini, Private Bag 4, Kwaluseni M201, Swaziland
Amer Al-Hinai: Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat 123, Oman
Mostafa Soliman: Department of Computer Engineering, Cairo University, Cairo 12613, Egypt

Energies, 2020, vol. 13, issue 21, 1-18

Abstract: This manuscript presents a robust tracking (servomechanism) controller for linear time-invariant (LTI) islanded (autonomous, isolated) microgrid voltage control. The studied microgrid (MG) consists of many distributed energy resources (DERs) units, each using a voltage-sourced converter (VSC) for the interface. The optimal tracker design uses the ellipsoidal approximation to the invariant sets. The MG system is decomposed into different subsystems (DERs). Each subsystem is affected by the rest of the system that is considered as a disturbance to be rejected by the controller. The proposed tracker (state feedback integral control) rejects bounded external disturbances by minimizing the invariant ellipsoids of the MG dynamics. A condition to design decentralized controllers is derived in the form of linear matrix inequalities. The proposed controller is characterized by rapid transient response, and zero error in the steady state. A robustness analysis of the control strategy (against load changes, load unbalances, etc.) is carried out. A MATLAB/SimPowerSystems (R2017b, MathWorks, Natick, MA, USA) simulation of the case study confirm the robustness of the proposed controller.

Keywords: islanded mode; microgrid; decentralized control; robust tracking; invariant set (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: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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