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Article

Methodology for Transient Stability Assessment and Enhancement in Low-Inertia Power Systems Using Phasor Measurements: A Data-Driven Approach

1
Department of Automated Electrical Systems, Ural Federal University, 620002 Yekaterinburg, Russia
2
College of Engineering and Technology, American University of the Middle East, Kuwait
3
Faculty of Electrical and Environmental Engineering, Riga Technical University, 12/1 Azenes Str., 1048 Riga, Latvia
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(19), 3192; https://doi.org/10.3390/math13193192
Submission received: 18 August 2025 / Revised: 21 September 2025 / Accepted: 3 October 2025 / Published: 5 October 2025
(This article belongs to the Special Issue Mathematical Applications in Electrical Engineering, 2nd Edition)

Abstract

Modern energy systems are undergoing a profound transformation characterized by the active replacement of conventional fossil-fuel-based power plants with renewable energy sources. This transition aims to reduce the carbon emissions associated with electricity generation while enhancing the economic performance of electric power market players. However, alongside these benefits come several challenges, including reduced overall inertia within energy systems, heightened stochastic variability in grid operation regimes, and stricter demands on the rapid response capabilities and adaptability of emergency controls. This paper presents a novel methodology for selecting effective control laws for low-inertia energy systems, ensuring their dynamic stability during post-emergency operational conditions. The proposed approach integrates advanced techniques, including feature selection via decision tree algorithms, classification using Random Forest models, and result visualization through the Mean Shift clustering method applied to a two-dimensional representation derived from the t-distributed Stochastic Neighbor Embedding technique. A modified version of the IEEE39 benchmark model served as the testbed for numerical experiments, achieving a classification accuracy of 98.3%, accompanied by a control law synthesis delay of just 0.047 milliseconds. In conclusion, this work summarizes the key findings and outlines potential enhancements to refine the presented methodology further.
Keywords: power system; transient stability; emergency control; machine learning; clustering algorithm; low inertia; renewable energy sources power system; transient stability; emergency control; machine learning; clustering algorithm; low inertia; renewable energy sources

Share and Cite

MDPI and ACS Style

Senyuk, M.; Beryozkina, S.; Odinaev, I.; Zicmane, I.; Safaraliev, M. Methodology for Transient Stability Assessment and Enhancement in Low-Inertia Power Systems Using Phasor Measurements: A Data-Driven Approach. Mathematics 2025, 13, 3192. https://doi.org/10.3390/math13193192

AMA Style

Senyuk M, Beryozkina S, Odinaev I, Zicmane I, Safaraliev M. Methodology for Transient Stability Assessment and Enhancement in Low-Inertia Power Systems Using Phasor Measurements: A Data-Driven Approach. Mathematics. 2025; 13(19):3192. https://doi.org/10.3390/math13193192

Chicago/Turabian Style

Senyuk, Mihail, Svetlana Beryozkina, Ismoil Odinaev, Inga Zicmane, and Murodbek Safaraliev. 2025. "Methodology for Transient Stability Assessment and Enhancement in Low-Inertia Power Systems Using Phasor Measurements: A Data-Driven Approach" Mathematics 13, no. 19: 3192. https://doi.org/10.3390/math13193192

APA Style

Senyuk, M., Beryozkina, S., Odinaev, I., Zicmane, I., & Safaraliev, M. (2025). Methodology for Transient Stability Assessment and Enhancement in Low-Inertia Power Systems Using Phasor Measurements: A Data-Driven Approach. Mathematics, 13(19), 3192. https://doi.org/10.3390/math13193192

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