Abstract
In the transient stability analysis of power systems it is extremely important to determine the boundary of stability region. Owing to the complexity and multi-time scale natures of electric power systems, it is necessary to correct boundary of stability region of simplified system (approximate reduction order system). In this paper, determining conditions of the stability boundary of multi-time scale systems is presented, O(ε)-correction formula of the stability boundary is obtained for multi-time scale power systems, which decreases the errors caused by employing the approximate reduced model to instead of the exact reduced system. An example and a simulation of one-machine infinite-bus electric power system are given to illustrate the validity of the O(ε)-correction algorithm.
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References
Sauer, P.W., Ahmed, Z.S., Pai, M.A.: Systematic Inclusion of Stator Transient in Reduced Order Synchronous Machine Models. IEEE Trans on Power Apparatus and Systems 6(6), 1348–1354 (1984)
Sauer, P.W., Ahmed, Z.S., Kokotovic, P.V.: An Integral Manifold Approach to Reduced Order Dynamic Modeling of Synchronous Machines. IEEE Trans. on Power Systems 2(1), 17–23 (1988)
Chow, J.H.: Time-Scale Modeling of Dynamic Networks with Applications to Power Systems. Lecture Notes in Control and Information Sciences, vol. 46. Springer, Heidelberg (1982)
Kokotovic, P.V., O’Malley, R.E., Sannuti, J.P.: Singular Perturbation and Order Reduction in Control Theory-An Overview. Singular Perturbations in System and Control, 3-12 (1986)
Sauer, P.W., Pai, M.A.: Power System Dynamics and Stability. Prentice-Hall, Englewood Cliffs (1998)
Sobolev, V.A.: Integral Manifolds and Decomposition of Singularly Perturbed Systems. System and Control Letters 5, 169–179 (1984)
Hill, D., Mareels, I.: Stability Theory of Differential/Algebraic Model of Power System. In: Proc. 11th Triennial World Congr. IFAC, vol. VI, Tallinn, USSR, August 13–17, pp. 19–24 (1990)
Chiang, H.D., Hirsch, M.W., Wu, F.: Stability Regions of Nonlinear Autonomous Dynamical Systems. IEEE Trans. on Automatic Control 33(1), 16–23 (1988)
Chiang, H.D., Wu, F.F.: Foundations of The Potential Energy Boundary Surface Method for Power System Transient Stability Analysis. IEEE Trans. Circ. Sys. 35(6), 712–728 (1988)
Saha, S., Fouad, A.A., Kliemamm, W.H., Vittal, V.: Stability Boundary Approximation of A Power System Using the Real Normal Form of Vector Fields. IEEE Trans, Power Sys. 12(2), 797–802 (1997)
Cheng, D.Z., Ma, J.: Calculation of Stability Region. In: Proceedings of the 42nd IEEE Conference on Decision and Control Maui, Hawaii USA (2003)
Varaiya, P.V., Wu, F.F., Chen, R.: Direct Methods for Transient Stability Analysis of Power Systems: Recent Results. Proc. IEEE 73(12), 1703–1715 (1985)
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Huang, P., Zhang, Y., Liu, Y. (2007). The O(ε)-Correction to Boundary of Stability Region for Multi-time Scale Power Systems. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_60
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DOI: https://doi.org/10.1007/978-3-540-74171-8_60
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74170-1
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