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Mathematical Problems in Engineering
Volume 2014, Article ID 761271, 7 pages
http://dx.doi.org/10.1155/2014/761271
Research Article

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

1College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
2Delft Center for System and Control, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands

Received 9 April 2014; Revised 10 July 2014; Accepted 10 July 2014; Published 1 December 2014

Academic Editor: Evangelos J. Sapountzakis

Copyright © 2014 Qiuye Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.