Ellipsoidal Design of Robust Stabilization for Markov Jump Power Systems under Normal and Contingency Conditions

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dc.authoridBayoumi, Ehab/0000-0002-3131-5043
dc.authoridFARAG ALI HAMAD, ELSHEIKHI/0000-0003-0926-2034
dc.authoridDe Santis, Michele/0000-0002-4058-1722
dc.contributor.authorSoliman, Hisham M.
dc.contributor.authorEl-Sheikhi, Farag A.
dc.contributor.authorBayoumi, Ehab H. E.
dc.contributor.authorDe Santis, Michele
dc.date.accessioned2025-03-26T17:34:46Z
dc.date.available2025-03-26T17:34:46Z
dc.date.issued2022
dc.departmentİstanbul Esenyurt Üniversitesi, Fakülteler, Mühendislik ve Mimarlık Fakültesi, Elektrik ve Elektronik Mühendisliği Bölümü
dc.description.abstractThe essential prerequisites for secure customer service are power system stability and reliability. This work shows how to construct a robust switching control for studying power system load changes using an invariant ellipsoid method. Furthermore, the suggested control ensures stability when the system is subjected to random stochastic external disturbances, and functions randomly in two conditions: normal and contingency. The extreme (least) reliability state is chosen as the most severe scenario (corresponding to a transmission line outage). As a two-state Markov random chain, the transition probabilities are utilized to simulate the switching between normal and contingency modes (or processes). To characterize the dynamics of the studied system, a stochastic mathematical model is developed. The effect of stochastic disturbances and random normal/contingency operations is taken into account during the design stage. For a stochastic power system, a novel excitation control is designed. The attractive ellipsoid approach and linear matrix inequalities (LMIs) optimization are used to build the best two-controller gains. Therefore, the proposed modeling/design technique can be employed for the power system under load changes, stochastic topological changes, and random disturbances. Finally, the system's random dynamics simulation indicates the effectiveness of the designed control law.
dc.identifier.doi10.3390/en15197249
dc.identifier.issn1996-1073
dc.identifier.issue19
dc.identifier.scopus2-s2.0-85139919886
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/en15197249
dc.identifier.urihttps://hdl.handle.net/20.500.14704/895
dc.identifier.volume15
dc.identifier.wosWOS:000867974700001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMDPI
dc.relation.ispartofEnergies
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250326
dc.subjectstochastic stability in power systems; Markov model; switched control; reliability
dc.titleEllipsoidal Design of Robust Stabilization for Markov Jump Power Systems under Normal and Contingency Conditions
dc.typeArticle

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