Almost global asymptotic stability of a grid-connected synchronous generator

DOI10.1007/S00498-018-0216-2zbMath1396.93104arXiv1610.04858OpenAlexW2963203935WikidataQ129562833 ScholiaQ129562833MaRDI QIDQ1659559

Vivek Natarajan, George Weiss

Publication date: 22 August 2018

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04858

zbMATH Keywords

synchronous machineforced pendulum equationinfinite busalmost global asymptotic stabilitysynchronverter

Mathematics Subject Classification ID

Application models in control theory (93C95) Asymptotic stability in control theory (93D20) Global stability of solutions to ordinary differential equations (34D23) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

A stability theorem for networks containing synchronous generators ⋮ Adaptive optimizing control for nonlinear synchronous generator system with uncertain disturbance ⋮ PI control of stable nonlinear plants using projected dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A port-Hamiltonian approach to power network modeling and analysis
• Synchronization in complex networks of phase oscillators: a survey
• An energy-shaping approach to the design of excitation control of synchronous generators
• A relaxed characterization of ISS for periodic systems with multiple invariant sets
• On the equation for a damped pendulum under constant torque
• Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids
• Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
• Characterizations of Input-to-State Stability for Systems With Multiple Invariant Sets
• Asymptotic Behaviour of Nonlinear Systems
• Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
• Conditions for Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus
• Variations on Barbalat's lemma
• State Convergence of Passive Nonlinear Systems With an $L^{2}$ Input
• Improved Swing Equation and Its Properties in Synchronous Generators
• Compositional Transient Stability Analysis of Multimachine Power Networks
• The measure of the critical values of differentiable maps

This page was built for publication: Almost global asymptotic stability of a grid-connected synchronous generator