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Mathematical Problems in Engineering
Volume 2018 (2018), Article ID 7617394, 13 pages
Research Article

Stochastic Small Signal Interval Stability of Power Systems with Asynchronous Wind Turbine Generators

School of Electrical Engineering, Zhengzhou University, Zhengzhou 450001, China

Correspondence should be addressed to Yanhong Liu; nc.ude.uzz@hyuil

Received 13 August 2017; Accepted 26 November 2017; Published 11 January 2018

Academic Editor: Quanxin Zhu

Copyright © 2018 Zhen Zhang and Yanhong Liu. 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.


The stochastic dynamic interval model of power systems with asynchronous wind turbine generators is established with consideration of the interval uncertain parameters and random small excitation disturbances. The conditions of interval mean stability and interval mean square stability of the power systems are proposed. The relationship between the bounds of the mean (mean square) error and the parameter interval range of the systems is discussed. Finally, we simulate the power systems to demonstrate the effectiveness of the proposed results.