Attractive Ellipsoid Technique for a Decentralized Passivity-Based Voltage Tracker for Islanded DC Microgrids

Alexander S. Poznyak, Hisham M. Soliman, Hussain Alazki, Ehab H. E. Bayoumi and Michele De Santis ()
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Alexander S. Poznyak: Departamento de Control Automatico, A.P. 14-740, CINVESTAV, Mexico D.F. 07000, Mexico
Hisham M. Soliman: Department of Electrical Power Engineering, Faculty of Engineering, Cairo University, Cairo 12613, Egypt
Hussain Alazki: Faculty of Engineering, Autonomous University Carmen, Cd. del Carmen 24180, Mexico
Ehab H. E. Bayoumi: Department of Mechanical Engineering, Faculty of Engineering, The British University in Egypt, El Sherouk City 11837, Egypt
Michele De Santis: Department of Engineering, University of Campania “Luigi Vanvitelli”, 81031 Aversa, Italy

Energies, 2024, vol. 17, issue 7, 1-21

Abstract: A new passivity-based voltage tracker for islanded Direct Current (DC) microgrids is presented in this paper. The proposed design develops a new sufficient condition for passivity-based state feedback with proportional and integral control using the attracting ellipsoid method. In this paper, we consider the time behavior of the extended vector, which completely describes the principle properties of the closed-loop system such as the boundedness of the trajectories within some ellipsoid and the dependence of its “size” on the feedback gains. The next step, which we are realizing in this paper, is the minimization of the attractive ellipsoid by selecting the “best” admissible feedback parameters. Here, it is important to note that the applied feedback is of PD-type (proportional differential) on the system state and I-type (integral) on the output. This is a new construction of the suggested feedback which gives several advantages for a designer. The suggested control is decentralized and uses only the local states; it is cost-effective and avoids the time delays in the communication networks which are needed if centralized control is used. The suggested control is carried out in the bilinear matrix inequality (BMI) framework. Extensive simulation is performed on a test system composed of renewable energy sources, under plug and play (PnP) operations, and uncertainties in distribution lines and loads. The performance of the proposed decentralized voltage controller is compared with that of a voltage tracker present in the literature. The comparison shows the improvements introduced by the proposed control ensure the stability of the dc bus voltage and a quick response under different scenarios of operating conditions.

Keywords: attracting ellipsoid method; microgrid control; passivity property; voltage regulation (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: 2024
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