Title :
Generalized Lyapunov function for stability analysis of interconnected power systems
Author :
Mahmud, M.A. ; Hossain, M.J. ; Pota, H.R. ; Ali, M.S.
Author_Institution :
Sch. of Eng. & Inf. Technol. (SEIT), Univ. of New South Wales at ADFA, Canberra, ACT, Australia
Abstract :
The formulation of Lyapunov function is necessary to analyze the stability of a system. This paper presents an idea for formulating generalized Lyapunov function for the stability analysis of interconnected power systems. Lyapunov function is formulated based on the total energy of power system where the system is considered as a single machine infinite bus (SMIB) system. The negative definiteness of the derivative of proposed Lyapunov function is proved through the application of zero dynamic control law. This paper also presents the formulation of control Lyapunov function to design a excitation controller for the generator. The performance of control Lyapunov function based excitation is tested on the SMIB system.
Keywords :
Lyapunov methods; control system synthesis; power system control; power system interconnection; power system stability; Lyapunov function formulation; SMIB; excitation controller design; generalized Lyapunov function; interconnected power systems; single machine infinite bus; stability analysis; zero dynamic control law; Equations; Generators; Lyapunov methods; Mathematical model; Power system dynamics; Power system stability; Stability analysis;
Conference_Titel :
Universities Power Engineering Conference (AUPEC), 2011 21st Australasian
Conference_Location :
Brisbane, QLD
Print_ISBN :
978-1-4577-1793-2
