The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability
From MaRDI portal
Publication:5037774
DOI10.1137/20M1370392zbMath1495.34077arXiv2010.06662OpenAlexW4210273368MaRDI QIDQ5037774
Publication date: 4 March 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.06662
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Observability (93B07) Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20)
Cites Work
- Unnamed Item
- Switching-induced stable limit cycles
- Hopf's bifurcation theorem and the center theorem of Liapunov with resonance cases
- The Quadratic Eigenvalue Problem
- Structural Dynamic Analysis with Generalized Damping Models
- Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
- Design and Stability of Load-Side Primary Frequency Control in Power Systems
- Controllability and observability criteria for multivariable linear second-order models
- Stability of nonlinear systems described by a second-order vector differential equation
- Asymptotic Stability of Systems: Results Involving the System Topology
- Stability of Multi-Machine Power Systems with Nontrivial Transfer Conductances
- Synchronous solutions of power systems: existence, uniqueness and stability
- Global analysis of swing dynamics
- A Survey onM-Matrices
- Topological and Graph-Coloring Conditions on the Parameter-Independent Stability of Second-Order Networked Systems
- Bistability of patterns of synchrony in Kuramoto oscillators with inertia
- Analysis of Power System Dynamics Subject to Stochastic Power Injections
- First-Order Perturbation Theory for Eigenvalues and Eigenvectors
- Robust Decentralized Secondary Frequency Control in Power Systems: Merits and Tradeoffs
- Transient stabilization of multimachine power systems with nontrivial transfer conductances
- A Framework for Robust Assessment of Power Grid Stability and Resiliency
- On the Critical Coupling for Kuramoto Oscillators
- Elements of applied bifurcation theory
