Analogy and Convergence of Levenberg's and Lyapunov-Based Methods for Power Flow Analysis

Analogy and Convergence of Levenberg's and Lyapunov-Based Methods for Power Flow Analysis

This letter focuses on the power flow problem and shows the formal analogy between the Levenberg's method and a fictitious ODE built using Lyapunov's second stability criterion. The letter also illustrates theoretical caveats and numerical issues of both methods. In particular, the case st...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on power systems 2016-03, Vol.31 (2), p.1663-1664
1. Verfasser: Milano, Federico
Format: Artikel
Sprache:eng
Schlagworte:
Analogies
Convergence
Criteria
Damping
Levenberg's method
Levenberg-Marquardt's method
Lyapunov methods
Lyapunov's function
Mathematical models
Newton method
Newton-Raphson's method
Numerical stability
Power flow
power flow analysis
Power system stability
Stability
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This letter focuses on the power flow problem and shows the formal analogy between the Levenberg's method and a fictitious ODE built using Lyapunov's second stability criterion. The letter also illustrates theoretical caveats and numerical issues of both methods. In particular, the case study, based on a 2383-bus system, shows that the fixed points of these methods are not necessarily a solution of the power flow problem.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2015.2415455