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Volume 2017, Article ID 3014510, 21 pages
Research Article

Improving Power System Stability with Gramian Matrix-Based Optimal Setting of a Single Series FACTS Device: Feasibility Study in Vietnamese Power System

1Duy Tan University, Da Nang 550000, Vietnam
2Faculty of Electrical Technology, Inductrial University of Ho Chi Minh City, Ho Chi Minh City 700000, Vietnam
3Faculty of Engineering and Technology, Quy Nhon University, Binh Dinh 820000, Vietnam
4Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
5Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam

Correspondence should be addressed to Le Cao Quyen; nv.ude.tdt@neyuqoacel

Received 17 October 2016; Revised 11 November 2016; Accepted 23 November 2016; Published 29 January 2017

Academic Editor: Dimitri Volchenkov

Copyright © 2017 Le Van Dai 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.


The Vietnamese power system has experienced instabilities due to the effect of increase in peak load demand or contingency grid faults; hence, using flexible alternating-current transmission systems (FACTS) devices is a best choice for improving the stability margins. Among the FACTS devices, the thyristor-controlled series capacitor (TCSC) is a series connected FACTS device widely used in power systems. However, in practice, its influence and ability depend on setting. For solving the problem, this paper proposes a relevant method for optimal setting of a single TCSC for the purpose of damping the power system oscillations. This proposed method is developed from the combination between the energy method and Hankel-norm approximation approach based on the controllability Gramian matrix considering the Lyapunov equation to search for a number of feasible locations on the small-signal stability analysis. The transient stability analysis is used to compare and determine appropriate settings through various simulation cases. The effectiveness of the proposed method is confirmed by the simulation results based on the power system simulation engineering (PSS/E) and MATLAB programs. The obtained results show that the proposed method can apply to immediately solve the difficulties encountering in the Vietnamese power system.