Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle

This paper presents when system parameter falling into certain area, the single machine infinite bus system with excitation limits experience period doubling bifurcation. When the parameters are further changed the system shows chaotic oscillations. To control this, an adaptive controller based on L...

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Main Authors:	Bimalesh Chandra Rout, Deepak Kumar Lal, A.K. Barisal
Format:	Article
Language:	English
Published:	Taylor & Francis Group 2017-01-01
Series:	Cogent Engineering
Subjects:	power system bifurcation chaos lasalle’s invariant principle adaptive control
Online Access:	http://dx.doi.org/10.1080/23311916.2017.1362804

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spelling	doaj-e11b9ce250dd428a947298f3fbd6a7182021-03-02T14:23:45ZengTaylor & Francis GroupCogent Engineering2331-19162017-01-014110.1080/23311916.2017.13628041362804Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principleBimalesh Chandra Rout0Deepak Kumar Lal1A.K. Barisal2Veer Surendra Sai University of TechnologyVeer Surendra Sai University of TechnologyVeer Surendra Sai University of TechnologyThis paper presents when system parameter falling into certain area, the single machine infinite bus system with excitation limits experience period doubling bifurcation. When the parameters are further changed the system shows chaotic oscillations. To control this, an adaptive controller based on LaSalle’s invariant principle is designed. The control method does not need any analytical knowledge about the system dynamics and operates without any proper information of the preferred steady state position. Numerical simulation results show the effectiveness of the controller and also it help to maintain the stable operation of the power system.http://dx.doi.org/10.1080/23311916.2017.1362804power systembifurcationchaoslasalle’s invariant principleadaptive control
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bimalesh Chandra Rout Deepak Kumar Lal A.K. Barisal
spellingShingle	Bimalesh Chandra Rout Deepak Kumar Lal A.K. Barisal Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle Cogent Engineering power system bifurcation chaos lasalle’s invariant principle adaptive control
author_facet	Bimalesh Chandra Rout Deepak Kumar Lal A.K. Barisal
author_sort	Bimalesh Chandra Rout
title	Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle
title_short	Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle
title_full	Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle
title_fullStr	Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle
title_full_unstemmed	Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle
title_sort	control of period doubling bifurcation in an smib power system using adaptive controller based on lasalle’s invariant principle
publisher	Taylor & Francis Group
series	Cogent Engineering
issn	2331-1916
publishDate	2017-01-01
description	This paper presents when system parameter falling into certain area, the single machine infinite bus system with excitation limits experience period doubling bifurcation. When the parameters are further changed the system shows chaotic oscillations. To control this, an adaptive controller based on LaSalle’s invariant principle is designed. The control method does not need any analytical knowledge about the system dynamics and operates without any proper information of the preferred steady state position. Numerical simulation results show the effectiveness of the controller and also it help to maintain the stable operation of the power system.
topic	power system bifurcation chaos lasalle’s invariant principle adaptive control
url	http://dx.doi.org/10.1080/23311916.2017.1362804
work_keys_str_mv	AT bimaleshchandrarout controlofperioddoublingbifurcationinansmibpowersystemusingadaptivecontrollerbasedonlasallesinvariantprinciple AT deepakkumarlal controlofperioddoublingbifurcationinansmibpowersystemusingadaptivecontrollerbasedonlasallesinvariantprinciple AT akbarisal controlofperioddoublingbifurcationinansmibpowersystemusingadaptivecontrollerbasedonlasallesinvariantprinciple
_version_	1724234934935093248

Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle

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