Salam, Fathi M. A. and Marsden, Jerrold E. and Varaiya, Pravin P. (1983) Arnold diffusion in the dynamics of a 4-machine power system undergoing a large fault. In: Proceedings of the 22nd IEEE Conference on Decision and Control. IEEE , pp. 1411-1414. http://resolver.caltech.edu/CaltechAUTHORS:20101027-095131751
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We focus on the seemingly complicated dynamics of a four-machine power system which is undergoing a sudden fault. Adopting a Hamiltonian (energy) formulation, we consider the system as an interconnection of (one degree of freedom) subsystems. Under certain configuration (a star network) and parameter values we establish the presence of Arnold diffusion which entails periodic, almost periodic, and complicated nonperiodic dyanmics all simultaneously present; and erratic transfer of energies between the subsystems. In section 1 we introduce the transient stability problem in a mathematical setting and explain what our results mean in the power systems context. Section 2 provides insights into Arnold diffusion and summarizes its mathematical formulation as in , . Section 3 gives conditions for which Arnold diffusion arises on certain energy levels of the swing equations. These conditions are verified analytically in the case when all but one subsystem (machine) undergo relatively small oscillations.
|Item Type:||Book Section|
|Additional Information:||© 1983 IEEE. Date of Current Version: 02 April 2007. Research is partially supported by DOE Contracts AT03-82ER 12097 and DE-AS01-78ET29135.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||28 Oct 2010 21:35|
|Last Modified:||26 Dec 2012 12:34|
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