NUMERICAL STUDY OF HOPF BIFURCATION IN MULTIMACHINE POWER SYSTEMS

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:7119659

CHEN, R L

The objective of this research is to apply the Hopf bifurcation theorem to study the occurrence of oscillatory behavior in multimachine power systems through extensive digital computations and simulations. Power systems normally operate at a stable operating point. Occasionally, after a parameter such as load or input power changes, oscillations may arise. It is not sufficient to explain the oscillatory phenomena by analyzing only the spectrum of the linearized model of power systems at the operating point. This makes it necessary to study these oscillations by applying nonlinear methods, such as the Hopf bifurcation theorem. Main results of the study are as follows: (a) oscillations that occur in the single-machine case due to a fast exciter also occur in the multimachine case; these oscillations depend on network parameters; (b) oscillations only occur under high load conditions; (c) by adding a power-system stabilizer and at appropriate values of the system parameters, the oscillations are damped out; (d) degenerate cases of the Hopf bifurcation are found in multimachine power system. From simulation of trajectories, the type of degenerate Hopf bifurcation that occurs is classified. A software package was developed to study the oscillations, running on VAX 11/750 under UNIX.

• Research Organization: California Univ., Berkeley (USA)
• OSTI ID: 7119659
• Country of Publication: United States
• Language: English

Related Subjects

200300* -- Electric Power Engineering-- Power Transmission & Distribution-- (-1989)
24 POWER TRANSMISSION AND DISTRIBUTION
42 ENGINEERING
420800 -- Engineering-- Electronic Circuits & Devices-- (-1989)
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
COMPUTERIZED SIMULATION
DAMPING
ENERGY SYSTEMS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
OSCILLATIONS
POWER SYSTEMS
SIMULATION
STABILIZATION