Chaotic transients and fractal structures governing coupled swing dynamics

Conference · Mon Jan 01 00:00:00 EST 1990

OSTI ID:6490547

Ueda, Y; Enomoto, T ^[1]; Stewart, H B ^[2]

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1. Kyoto Univ. (Japan)
2. Brookhaven National Lab., Upton, NY (USA)

Numerical simulations are used to study coupled swing equations modeling the dynamics of two electric generators connected to an infinite bus by a simple transmission network. In particular, the effect of varying parameters corresponding to the input power supplied to each generator is studied. In addition to stable steady operating conditions, which should correspond to synchronized, normal operation, the coupled swing model has other stable states of large amplitude oscillations which, if realized, would represent non-synchronized motions: the phase space boundary separating their basins of attraction is fractal, corresponding to chaotic transient motions. These fractal structures in phase space and the associated fractal structures in parameter space will be of primary concern to engineers in predicting system behavior.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6490547
• Report Number(s): BNL-45179; CONF-901246-1; ON: DE91001122
• Resource Relation: Conference: EPRI workshop on applications of chaos, San Francisco, CA (USA), Dec 1990
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ELECTRIC GENERATORS
DYNAMICS
POWER SYSTEMS
MATHEMATICAL MODELS
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
FRACTALS
NUMERICAL SOLUTION
PHASE SPACE
POWER TRANSMISSION LINES
RANDOMNESS
ENERGY SYSTEMS
EQUATIONS
MATHEMATICAL SPACE
MECHANICS
SIMULATION
SPACE
420200* - Engineering- Facilities
Equipment
& Techniques
990200 - Mathematics & Computers