Conference Paper

Power system probabilistic small signal stability analysis using two point estimation method

Huazhong Univ. of Sci. & Technol., Wuhan
DOI: 10.1109/UPEC.2007.4468981 Conference: Universities Power Engineering Conference, 2007. UPEC 2007. 42nd International
Source: IEEE Xplore


A so-called two-point estimation (TPE) method is presented in this paper for power system probabilistic small signal stability (PSSS) analysis. With the development of power systems under open access environment, it is highly desired to investigate power system stability with uncertainties in both system parameters and operating conditions. Monte Carlo simulation (MCS) method has been widely used for this purpose. However, this method is very time-consuming. The TPE based method proposed in this paper provides a way to solve this problem to some extent. It estimate the statistical characteristics of random variables with less calculation requirement while keeping enough calculating precision. The TPE based method for the PSSS analysis is outlined. Then, the model as well as the stable indices for power system PSSS are presented. The effectiveness of the proposed method is verified by the simulation results on a 3- generator-9-node power system.

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    • "With respect to the probabilistic analysis of stability of small perturbations, Refs. [6] [7] [8] [9] [10] [11] [12] show important advances in this area, but the random effect is considered according to a stepwise type of event, and the sustained variation in time is not considered. "
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    ABSTRACT: Two concepts are proposed to characterize the behavior of stochastic systems under sustained random perturbations in time: Using Lyapunov exponents we define the region where an electric power system can be operated under random perturbations without losing stability; and we characterize the maximum perturbation size that a system can sustain. The proposed methodology is applied to international test systems of nine and thirty-nine buses.
    International Journal of Electrical Power & Energy Systems 12/2015; 73:725-733. DOI:10.1016/j.ijepes.2015.06.012 · 3.43 Impact Factor
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    • "Dicho índice de estabilidad corresponde al tiempo de salida desde una zona de operación estable. Estudios de estabilidad de pequeña perturbación probabilista son propuestos en referencias [12] [13] [14] [15] [16] [17] [18] [19] [20] [21]. Uno de los principales enfoques abordados es asignar una distribución de probabilidad a las partes reales de los autovalores obtenidos del modelo equivalente lineal del sistema eléctrico, para luego _______________________ H. Verdejo, Universidad de Santiago de Chile, Santiago, Chile, "
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    ABSTRACT: This paper deals with linear systems under sustained random perturbations. The stochastic perturbation model is given by a bounded Markov diffusion process, as it appears, e.g., in the description of load or generation uncertainties of power systems. For such systems, the Lyapunov exponents describe necessary and sufficient conditions for almost sure asymptotic stability. The present article reviews several numerical methods for the computation of Lyapunov exponents and applies this methodology to international test systems: four machines - ten bus and ten machines -thirty nine bus.
    IEEE Latin America Transactions 12/2013; 11(6):1332-1337. DOI:10.1109/TLA.2013.6710380 · 0.33 Impact Factor
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    ABSTRACT: This paper presents a bibliography on power systems probabilistic security, encompassing small signal, transient stability analysis, and a plethora of closely related subjects.
    International Journal of Emerging Electric Power Systems 01/2009; 10(3). DOI:10.2202/1553-779X.2149
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