On the determination of the region border prior to the limit steady modes of electric power systems by the analysis method of the tropical geometry of the power balance equations

DOI10.1134/S0005117924010028zbMATH Open1542.93064MaRDI QIDQ6567836

I. G. Romanenko, M. I. Danilov

Publication date: 5 July 2024

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

tropical geometrystatic stabilityelectric power systemregime existence subdomains

Mathematics Subject Classification ID

Application models in control theory (93C95) Geometric methods (93B27) Applications of tropical geometry (14T90)

Cites Work

• Spectral and modal methods for studying stability and control of electric power systems
• Analyzing stable regimes of electrical power systems and tropical geometry of power balance equations over complex multifields
• An overview of semidefinite relaxations for optimal power flow problem
• Convex Optimization Approaches to Information Structured Decentralized Control
• A Tool for Analysis of Existence of Equilibria and Voltage Stability in Power Systems With Constant Power Loads

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