Abstract
A construction method for power system transient energy function is studied in the paper, which is simple and universal, and can unify the forms of some current energy functions. A transient energy function including the induction motor model is derived using the method. The unintegrable term is dealt with to get an approximate energy function. Simulations in a 3-bus system and in the WSCC 4-generator system verify the validity of the proposed energy function. The function can be applied to direct transient stability analysis of multi-machine large power systems and provides a tool for analysis of the interaction between the generator angle stability and the load voltage stability.
Similar content being viewed by others
References
Kundur P. Power System Stability and Control. New York: McGraw-Hill, 1994
Fouad A A, Vittal V. Power System Transient Stability Analysis: Using the Transient Energy Function Method. Englewood Cliffs, NJ: Prentice-Hall, 1991
Athay T, Podmore R, Viremani S. A practical method for direct analysis of transient stability. IEEE Trans Power App Syst, 1979, PAS-98(2): 573–584
Kakimoto N, Hayashi M. Transient stability analysis of multimachine power systems by Lyapunov’s direct method. In: 20th IEEE Conference on CDC. New Jersey: IEEE Press, 1981, 464–470
Chiang H D, Chu C C, Cauley G. Direct stability analysis of electric power systems using energy functions: theory, applications, and perspective. Proc IEEE, 1995, 83(11): 1497–1520
Pai M A. Energy Function Analysis for Power System Stability. Boston, MA: Kluwer Academic, 1989
Liu S, Wang J. Energy Function Analysis of Power System Transient Stability (in Chinese). Shanghai: Shanghai Jiaotong University Press, 1996
Tsolas N A, Arapostathis A, Variya P P. A structure preserving energy function for power system transient stability analysis. IEEE Trans Circuits Syst, 1985, CAS-32(10): 1041–1049
Padiyar K R, Ghosh K K. Direct stability evaluation of power systems with detailed generator models using structure preserving energy functions. Int J Electr Power Energy Syst, 1989, 11(1): 47–56
Liu F, Xin H H, Qiu J J, et al. Review, analysis and prospect of structure preserving models in power systems. Proc CSU-EPSA (in Chinese), 2005, 17(2): 13–20
Moon Y H, Cho B H, Lee Y H, et al. Energy conservation law and its application for the direct energy method of power system stability. In: IEEE Power Engineering Society 1999 Winter Meeting. New Jersey: IEEE Press, 1999, 1: 695–700
Lu Q, Mei S W, Zheng S M. Field experiments of NR-PSS for large synchronous generators on a 300MW machine in Baishan Hydro Plant. Sci China Ser E-Tech Sci, 2007, 50(4): 516–520
Taylor C W. Power System Voltage Stability. New York: McGraw-Hill, 1994
Davy R J, Hiskens I A. Lyapunov functions for multimachine power systems with dynamic loads. IEEE Trans Circuits Syst I, Fundam Theory Appl, 1997, 44(9): 796–812
Ishigame A, Taniguchi T. Transient stability analysis for power system using Lyapunov function with load characteristics. In: IEEE Power Engineering Society 2003 General Meeting. New Jersey: IEEE Press, 2003, 2: 13–17
Ni Y X, Chen S S, Zhang B L. Theory and Analysis of Dynamic Power Systems (in Chinese). Beijing: Tsinghua University Press, 2002
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Prof. LU Qiang, Member of Editorial Committee of Science in China, Series E: Technological Sciences
Supported by the Special Fund of the National Priority Basic Research of China (Grant No. 2004CB217904) and the National Natural Science Foundation of China (Grant No. 50323002)
Rights and permissions
About this article
Cite this article
Min, Y., Chen, L. A transient energy function for power systems including the induction motor model. SCI CHINA SER E 50, 575–584 (2007). https://doi.org/10.1007/s11431-007-0077-2
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11431-007-0077-2