Qualitative stability and synchronicity analysis of power network models in port-Hamiltonian form

DOI10.1063/1.5054850zbMath1442.37113arXiv1712.03160OpenAlexW3104476653WikidataQ58589884 ScholiaQ58589884MaRDI QIDQ4556528

Eckehard Schöll, Simona Olmi, Volker Mehrmann, Riccardo Morandin

Publication date: 16 November 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03160

zbMATH Keywords

Kuramoto modelpower networksport-Hamiltonian systemrenewable energies

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Adaptive dynamical networks ⋮ Fixed-order H-infinity controller design for port-Hamiltonian systems ⋮ Optimization-based model order reduction of port-Hamiltonian descriptor systems ⋮ A generic method for constructing n-fold covers of 3D conservative chaotic systems ⋮ Generalized Elements for a Structural Analysis of Circuits ⋮ Numerical mathematics and control. Preface to a special issue dedicated to Volker Mehrmann on the occasion of his 65th birthday ⋮ Stability and control of power grids with diluted network topology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A port-Hamiltonian approach to power network modeling and analysis
• Interconnection of port-Hamiltonian systems and composition of Dirac structures
• Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
• Synchronization on the circle
• Comparative analysis of existing models for power-grid synchronization
• Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
• A universal order parameter for synchrony in networks of limit cycle oscillators
• Advanced Structural Dynamics and Active Control of Structures
• Port-Hamiltonian Differential-Algebraic Systems
• Synchronization in complex oscillator networks and smart grids
• Arnold diffusion in the swing equations of a power system

This page was built for publication: Qualitative stability and synchronicity analysis of power network models in port-Hamiltonian form