Paper Info
Title
Algorithmic Construction of Lyapunov Functions for Power System Stability Analysis
Abstract
We present a methodology for the algorithmic construction of Lyapunov functions for the transient stability analysis of classical power system models. The proposed methodology uses recent advances in the theory of positive polynomials, semidefinite programming, and sum of squares decomposition, which have been powerful tools for the analysis of systems with polynomial vector fields. In order to apply these techniques to power grid systems described by trigonometric nonlinearities we use an algebraic reformulation technique to recast the system's dynamics into a set of polynomial differential algebraic equations. We demonstrate the application of these techniques to the transient stability analysis of power systems by estimating the region of attraction of the stable operating point. An algorithm to compute the local stability Lyapunov function is described together with an optimization algorithm designed to improve this estimate.
Year
DOI
Venue
2013
10.1109/TCSI.2013.2246233
Circuits and Systems I: Regular Papers, IEEE Transactions
Keywords
DocType
Volume
Lyapunov methods,differential algebraic equations,mathematical programming,polynomials,power system transient stability,Lyapunov functions,algebraic reformulation technique,algorithmic construction,optimization algorithm,polynomial vector fields,positive polynomials,power system models,power system stability analysis,semidefinite programming,squares decomposition,stability Lyapunov function,system dynamics,transient stability analysis,trigonometric nonlinearities,Lyapunov methods,nonlinear systems,power system transient stability,sum of squares,transient energy function
Journal
60
Issue
ISSN
Citations 
9
1549-8328
15
PageRank 
References 
Authors
0.93
6
3
Name
Order
Citations
PageRank
Marian Anghel1699.68
Federico Milano27916.16
Antonis Papachristodoulou3766.73