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

Journal article (2014)
Department
Delft Center for Systems and Control (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: 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.
DOI: https://doi.org/doi:10.1155/2014/761271
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Published Date

01-12-2014

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Source:

Mathematical Problems in Engineering, 2014

ISSN:

1024-123X

Source:

http://www.hindawi.com/journals/mpe/2014/761271/

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

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.

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