Dual Generator Cluster Transient Stability Assessment Using Swallowtail Catastrophe Theory

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In this paper swallowtail catastrophe is used to determine the transient stability regions. The bifurcation set represents the transient stability region in terms of power system transient parameters bounded by the transient stability limits. The system modelling is generalized in such, that the analysis could handle either one or any number of critical machines. This generalized model is then tested on a New England 39bus 10-machine power system. The results of the stability analysis done with the generalized method are compared with the time solution and the results were satisfactory. The transient stability regions determined are valid for any changes in loading conditions and fault location. This method is a good candidate for on-line assessment of transient stability of power systems.
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Catastrophe Theory; Distributed Generators; Generator Cluster; Large Power System; Transient Stability Assessment

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Sulaiman, M., Adnan H. Tawafan,“High impedance fault detectionon power distribution feeder,” International Review on Modelling and Simulations IREMOS, vol. 5, no. 5, pp. 2197–2204, 2012.

E. Kimbark and R. Byerly, Stability of Large Power Systems, A Volume in the IEEE Press Selected Reprint Series, pp. 221-231, 1974.

E. W. Kimbark, Power System Stability, Vol. 1. John Wiley and Sons Inc., New York,1984

T. Poston and I. Stewart, Catastrophe Theory and Its Applications,Pitman Publishing Co., London, 1979.

A.A. Sallam and J.L. Dineley, Catastrophe theory as a Tool for Determining Synchronous Power System Dynamic Stability , IEEE Trans. PAS, Vol. 102, pp. 622-630, March 1983.

I. S. Hsu and D. Ph, Power Systems - Basic Concepts and Applications - Part II vol. 105, 2012.

Da-Zhong. Fang; T.S. Chung, Yao.Zhang and Wennan.Song,Transient stability limit conditions analysis using a corrected transientenergy function approach, IEEE Trans. Power Systems, Vol 15, pp. 804– 810, May. 2000.

Wvong, M. D.; Mihirig, A. M., Catastrophe theory applied to transient stability assessment of power systems, Generation, Transmission and Distribution, IEE Proceedings C , vol.133, no.6, pp.314,318, September 1986

G. Outline, IEEE 10 Generator 39 Bus System.IEEE Power Systems Test Case Achieve. Available


Tavora, C.J.; Smith, O.J.M., Characterization of Equilibrium and Stability in Power Systems, Power Apparatus and Systems, IEEE Transactions on , vol.PAS-91, no.3, pp.1127,1130, May 1972

Zhenhua Wang; Aravnthan, V.; Makram, E.B., Generator cluster transient stability assessment using catastrophetheory,Environment and Electrical Engineering (EEEIC), 2011 10th International Conference on , vol., no., pp.1,4, 8-11 May 2011

Parsi-Feraidoonian, R.; Xian-Lin Sun; Wvong, M. D.,Catastrophe theory model of multimachine power systems for transient stability studies, TENCON '93. Proceedings. Computer, Communication, Control and Power Engineering.1993 IEEE Region 10 Conference on , vol., no.0, pp.187,190 vol.5, 19-21 Oct 1993


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