Generalized Lyapunov function for stability analysis of interconnected power systems

M. A. Mahmud*, M. J. Hossain, H. R. Pota, M. S. Ali

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Citations (Scopus)

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.

Original languageEnglish
Title of host publication2011 21st Australasian Universities Power Engineering Conference, AUPEC 2011
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781921897078
ISBN (Print)9781457717932
Publication statusPublished - 25 Sept 2011
Externally publishedYes
Event2011 21st Australasian Universities Power Engineering Conference, AUPEC 2011 - Brisbane, QLD, Australia
Duration: 25 Sept 201128 Sept 2011

Publication series

Name2011 21st Australasian Universities Power Engineering Conference, AUPEC 2011

Conference

Conference2011 21st Australasian Universities Power Engineering Conference, AUPEC 2011
Country/TerritoryAustralia
CityBrisbane, QLD
Period25/09/1128/09/11

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