Stability Analysis of Power Systems: A Network Synchronization Perspective

DOI10.1137/17M1118646zbMath1390.34165OpenAlexW2799657821MaRDI QIDQ4641741

Li-Jun Zhu, David John Hill

Publication date: 18 May 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1118646

zbMATH Keywords

Lyapunov functionstability analysispower systemssynchronization

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Automated systems (robots, etc.) in control theory (93C85) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (3)

An analytical approach for the stability analysis of power networks through Kuramoto oscillators model ⋮ Synchronization of second-order Kuramoto networks from the perspective of edge dynamics ⋮ A Control-Theoretic Approach to the Synchronization of Second-Order Continuous-Time Dynamical Systems on Real Connected Riemannian Manifolds

Cites Work

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• Complete synchronization of Kuramoto oscillators with finite inertia
• Existence and robustness of phase-locking in coupled Kuramoto oscillators under mean-field feedback
• Lyapunov functions of Lur'e-Postnikov form for structure preserving models of power systems
• Complete entrainment of Kuramoto oscillators with inertia on networks via gradient-like flow
• Self-synchronization of coupled oscillators with hysteretic responses
• Complex networks: structure and dynamics
• Stability of control systems with multiple nonlinearities
• Synchronization and power sharing for droop-controlled inverters in islanded microgrids
• Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
• Stability analysis of multimachine power networks with linear frequency dependent loads
• On Computing the Critical Coupling Coefficient for the Kuramoto Model on a Complete Bipartite Graph
• Theoretical foundation of the BCU method for direct stability analysis of network-reduction power system. Models with small transfer conductances
• Synchronization in an array of linearly coupled dynamical systems
• On Exponential Synchronization of Kuramoto Oscillators
• Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint
• Exploring complex networks
• Breaking the Hierarchy: Distributed Control and Economic Optimality in Microgrids
• On the Critical Coupling for Kuramoto Oscillators

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