Quality Performance Criterion Model for Distributed Automated Control Systems Based on Markov Processes for Smart Grid
Wojcik W. Ormanbekova A. Jamanbayev M. Yukhymchuk M. Lesko V.
December 2025Multidisciplinary Digital Publishing Institute (MDPI)
Applied Sciences (Switzerland)
2025#15Issue 24
This paper addresses the problem of decision-making support for the modernization of distributed automated control systems (ACS) in power engineering by proposing an integral quality criterion that combines similarity-driven Markov process modeling with geometric programming. The methodology transforms the transition rate matrix of a continuous-time Markov chain (CTMC) into a matrix polynomial, enabling the derivation of normalized similarity indices and the development of a criterion-based model to quantify relative variations in system quality without requiring global optimization. The proposed approach yields a generalized criterion model that facilitates the ranking of modernization alternatives and the evaluation of the sensitivity of optimal decisions to parameter variations. The practical implementation is demonstrated through updated state transition graphs, quality functions, and UML-based architectures of diagnostic-ready evaluation modules. The scientific contribution of this work lies in the integration of similarity-based Markov modeling with the mathematical framework of geometric programming into a unified criterion model for the quantitative assessment of functional readiness under multistate conditions and probabilistic failures. The methodology enables the comparison of modernization scenarios using a unified integral indicator, assessment of sensitivity to structural and parametric changes, and seamless integration of quality evaluation into SCADA/Smart Grid environments as part of real-time diagnostics. The accuracy of the assessment depends on the adequacy of transition rate identification and the validity of the Markovian assumption. Future extensions include the real-time estimation of transition rates from event streams, generalization to semi-Markov processes, and multicriteria optimization considering cost, risk, and readiness.
automated control system , criterion-based modeling , geometric programming , integral quality criterion , Markov processes , Smart Grid
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Electronic and Information Technologies Department, Electrical Engineering and Computer Science Faculty, Lublin University of Technology, Lublin, 20-618, Poland
Faculty of Engineering and Information Technology, Almaty Technological University, Tole Bi Street, 100, Almaty, 050012, Kazakhstan
Department of Automation and Robotics, Almaty Technological University, Tole Bi Street, 100, Almaty, 050012, Kazakhstan
Department of Computer Control Systems, Vinnytsia National Technical University, Khmelnytske Highway, 95Vinnytsia Region, Vinnytsia, 21000, Ukraine
Department of Electric Power Stations and Systems, Vinnytsia National Technical University, Khmelnytske Highway, 95Vinnytsia Region, Vinnytsia, 21000, Ukraine
Electronic and Information Technologies Department
Faculty of Engineering and Information Technology
Department of Automation and Robotics
Department of Computer Control Systems
Department of Electric Power Stations and Systems
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