Paper Info
Title
Stability and control of power systems using vector Lyapunov functions and sum-of-squares methods
Abstract
Recently, sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extended to non-polynomial dynamical systems, including power systems, using an algebraic reformulation technique that recasts the system's dynamics into a set of polynomial differential algebraic equations. Nevertheless, for large scale dynamical systems this method becomes inapplicable due to its computational complexity. For this reason we develop a subsystem based stability analysis approach using vector Lyapunov functions and introduce a parallel and scalable algorithm to infer the stability of the interconnected system with the help of the subsystem Lyapunov functions. Furthermore, we design adaptive and distributed control laws that guarantee asymptotic stability under a given external disturbance. Finally, we apply this algorithm for the stability analysis and control synthesis of a network preserving power system.
Year
DOI
Venue
2015
10.1109/ECC.2015.7330553
2015 European Control Conference (ECC)
Keywords
Field
DocType
network preserving power system,asymptotic stability,distributed control laws,adaptive control laws,large scale dynamical systems,polynomial differential algebraic equations,algebraic reformulation technique,nonpolynomial dynamical systems,control synthesis,stability analysis,sum-of-squares methods,vector Lyapunov functions,power systems control,power systems stability
Lyapunov function,Lyapunov equation,Control-Lyapunov function,Control theory,Lyapunov redesign,Dynamical systems theory,Adaptive control,Lyapunov exponent,Mathematics,Stability theory
Conference
Citations 
PageRank 
References 
2
0.39
3
Authors
2
Name
Order
Citations
PageRank
Soumya Kundu161.20
Marian Anghel2699.68