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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 947815, 12 pages
Research Article

Excitation Control Design for Stochastic Power Systems with Input Delay Based on Nonlinear Hamiltonian System Theory

1Institute of Automation, Qufu Normal University, Qufu 273165, China
2School of Engineering, Qufu Normal University, Rizhao 276826, China
3School of Automation, Southeast University, Nanjing 210096, China
4Basic Teaching Department, Shandong Water Polytechnic, Rizhao 276826, China

Received 13 May 2015; Revised 10 August 2015; Accepted 11 August 2015

Academic Editor: Xinguang Zhang

Copyright © 2015 Weiwei 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.


This paper presents excitation control design problem for power systems with input time delay and disturbances by using nonlinear Hamiltonian system theory. The impact of time delays introduced by remote signal transmission and processing in wide-area measurement system (WAMS) is well considered. Meanwhile, the systems under investigation are disturbed by random fluctuation. First, under prefeedback technique, the power systems are described as a nonlinear Hamiltonian system. Then the excitation controller of generators connected to distant power systems with time delay and stochasticity is designed. Based on Lyapunov functional method, some sufficient conditions are proposed to guarantee the rationality and validity of the proposed control law. The closed-loop systems under the control law are asymptotically stable in mean square independent of the time delay. And we through a simulation of a two-machine power system prove the effectiveness of the results proposed in this paper.