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

fYear

2011

fDate

25-28 Sept. 2011

Firstpage

1

Lastpage

6

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Universities Power Engineering Conference (AUPEC), 2011 21st Australasian

Conference_Location

Brisbane, QLD

Print_ISBN

978-1-4577-1793-2

Type

conf

Filename

6102541