Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model

Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model

This paper presents a method to control chaotic behavior of a typical Smart Grid based on generalized fuzzy hyperbolic model (GFHM). As more and more distributed generations (DG) are incorporated into the Smart Grid, the chaotic behavior occurs increasingly. To verify the behavior, a dynamic model w...

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Main Authors: Qiuye Sun, Yaguang Wang, Jun Yang, Yue Qiu, Huaguang Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/761271
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spelling doaj-29ede093a74d4a3ca05e583847b7127b2020-11-25T00:18:38ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/761271761271Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic ModelQiuye Sun0Yaguang Wang1Jun Yang2Yue Qiu3Huaguang Zhang4College of Information Science and Engineering, Northeastern University, Shenyang 110004, ChinaCollege of Information Science and Engineering, Northeastern University, Shenyang 110004, ChinaCollege of Information Science and Engineering, Northeastern University, Shenyang 110004, ChinaDelft Center for System and Control, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The NetherlandsCollege of Information Science and Engineering, Northeastern University, Shenyang 110004, ChinaThis paper presents a method to control chaotic behavior of a typical Smart Grid based on generalized fuzzy hyperbolic model (GFHM). As more and more distributed generations (DG) are incorporated into the Smart Grid, the chaotic behavior occurs increasingly. To verify the behavior, a dynamic model which describes a power system with DG is presented firstly. Then, the simulation result shows that the power system can lead to chaos under certain initial conditions. Based on the universal approximation of GFHM, we confirm that the chaotic behavior could be suppressed by a new controller, which is designed by means of solving a linear matrix inequality (LMI). This approach could make a good application to suppress the chaos in Smart Grid. Finally, a numerical example is given to demonstrate the effectiveness of the proposed chaotic suppression strategy.http://dx.doi.org/10.1155/2014/761271
collection DOAJ
language English
format Article
sources DOAJ
author Qiuye Sun
Yaguang Wang
Jun Yang
Yue Qiu
Huaguang Zhang
spellingShingle Qiuye Sun
Yaguang Wang
Jun Yang
Yue Qiu
Huaguang Zhang
Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model
Mathematical Problems in Engineering
author_facet Qiuye Sun
Yaguang Wang
Jun Yang
Yue Qiu
Huaguang Zhang
author_sort Qiuye Sun
title Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model
title_short Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model
title_full Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model
title_fullStr Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model
title_full_unstemmed Chaotic Dynamics in Smart Grid and Suppression Scheme via Generalized Fuzzy Hyperbolic Model
title_sort chaotic dynamics in smart grid and suppression scheme via generalized fuzzy hyperbolic model
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description This paper presents a method to control chaotic behavior of a typical Smart Grid based on generalized fuzzy hyperbolic model (GFHM). As more and more distributed generations (DG) are incorporated into the Smart Grid, the chaotic behavior occurs increasingly. To verify the behavior, a dynamic model which describes a power system with DG is presented firstly. Then, the simulation result shows that the power system can lead to chaos under certain initial conditions. Based on the universal approximation of GFHM, we confirm that the chaotic behavior could be suppressed by a new controller, which is designed by means of solving a linear matrix inequality (LMI). This approach could make a good application to suppress the chaos in Smart Grid. Finally, a numerical example is given to demonstrate the effectiveness of the proposed chaotic suppression strategy.
url http://dx.doi.org/10.1155/2014/761271
work_keys_str_mv AT qiuyesun chaoticdynamicsinsmartgridandsuppressionschemeviageneralizedfuzzyhyperbolicmodel
AT yaguangwang chaoticdynamicsinsmartgridandsuppressionschemeviageneralizedfuzzyhyperbolicmodel
AT junyang chaoticdynamicsinsmartgridandsuppressionschemeviageneralizedfuzzyhyperbolicmodel
AT yueqiu chaoticdynamicsinsmartgridandsuppressionschemeviageneralizedfuzzyhyperbolicmodel
AT huaguangzhang chaoticdynamicsinsmartgridandsuppressionschemeviageneralizedfuzzyhyperbolicmodel
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