A study of state variable participation in nonlinear limit-cycle behavior

In this paper we analyze nonlinear oscillations that arise in a simple single-generator, single-load power system. Specifically we study how state variables affect limit cycle behavior. To this end, we study participation factors of a linearized system at the point of Hopf-bifurcation. We extend thi...

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Bibliographic Details
Main Authors: Lesieutre, B.C., Stankovic, A.M., Lacalle-Melero, J.R.
Format: Conference Proceeding
Language:English
Subjects:
Control systems
Induction generators
Induction motors
Limit-cycles
Power system analysis computing
Power system control
Power system modeling
Power system simulation
Power systems
Reactive power
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Summary:In this paper we analyze nonlinear oscillations that arise in a simple single-generator, single-load power system. Specifically we study how state variables affect limit cycle behavior. To this end, we study participation factors of a linearized system at the point of Hopf-bifurcation. We extend this to operating conditions away from the the bifurcation point through the application of a transformation that maps the limit cycle to a point. Knowledge of the state variables participations will increase our understanding of the problem and enable a more precise control of the phenomenon.
DOI:10.1109/CCA.1995.555645