《A two-time scale simulation for dynamic analysis of power systems》.pdf

Electric Power Systems Research 83 (2012) 185–195 Contents lists available at SciVerse ScienceDirect Electric Power Systems Research j o u r n a l h o m e p ag e: w w w. elsev /locate/eps r A two-time scale simulation for dynamic analysis of power systems R. Ramírez-Betancour a , C.R. Fuerte-Esquivel a,∗ , T. Van Cutsem b a Universidad Michoacana de San Nicolás de Hidalgo, Faculty of Electrical Enginering, Morelia, Michoacán, Mexico b FNRS and University of Liège, Department of Electrical Engineering and Computer Science, Sart Tilman B37, B-4000 Liège, Belgium a r t i c l e i n f o a b s t r a c t Article history: This paper proposes a two-time scale simulation approach of both short-term and long-term dynamics in Received 2 June 2011 power systems. The short-term transient period is analyzed by a full-time scale simulation while a quasi- Received in revised form steady state model of the power system is used to simulate long-term dynamics. The proposed method 28 September 2011 is inspired of Singular Perturbation theory to model the interaction between the short-term and long- Accepted 4 November 2011 Available online 30 November 2011 term dynamics. Based on this interaction, a suitable criterion to determine when the quasi-steady state model of a power system can be considered as a uniform approximation of the full-time scale model is proposed, which also determines the appropriate switching time between models. The proposed method Keywords