Decentralized Robust Power System Stabilization Using Ellipsoid-Based Sliding Mode Control

Ehab H. E. Bayoumi (), Hisham M. Soliman and Farag A. El-Sheikhi
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Ehab H. E. Bayoumi: Department of Electrical Engineering, Faculty of Engineering and Technology, University of Botswana, Gaborone UB0022, Botswana
Hisham M. Soliman: Department of Electrical Power Engineering, Faculty of Engineering, Cairo University, Giza 12613, Egypt
Farag A. El-Sheikhi: Department of Electrical and Electronics Engineering, Istanbul Esenyurt University, Istanbul 34517, Turkey

Energies, 2024, vol. 17, issue 17, 1-11

Abstract: Power systems are naturally prone to numerous uncertainties. Power system functioning is inherently unpredictable, which makes the networks susceptible to instability. Rotor-angle instability is a critical problem that, if not effectively resolved, may result in a series of failures and perhaps cause blackouts (collapse). The issue of state feedback sliding mode control (SMC) for the excitation system is addressed in this work. Control is decentralized by splitting the global system into several subsystems. The effect of the rest of the system on a particular subsystem is considered a disturbance. The next step is to build the state feedback controller with the disturbance attenuation level in mind to guarantee the asymptotic stability of the closed-loop system. The algorithm for SMC design is introduced. It is predicated on choosing the sliding surface correctly using the invariant ellipsoid approach. According to the control architecture, the system motion in the sliding mode is guaranteed to only be minorly affected by mismatched disturbances in power systems. Furthermore, the proposed controllers are expressed in terms of Linear Matrix Inequalities (LMIs) using the Lyapunov theory. Lastly, an IEEE test system is used to illustrate how successful the suggested approach is.

Keywords: excitation control; sliding mode control; linear matrix inequalities optimization; invariant-ellipsoid method; unmatched uncertainties (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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