Analysis of voltage control systems exhibiting Hopf bifurcation

C. Rajagopalan, Peter W Sauer, M. A. Pai

Research output: Contribution to journalConference article

Abstract

Stability at critical load levels is analyzed using Hopf bifurcation theory. The authors consider the detailed two-axis model and show that a pair of complex eigenvalues associated with the excitation system undergo Hopf bifurcation near the critical load level. A center manifold is constructed, and the stability of the periodic solution so obtained is examined.

Original languageEnglish (US)
Pages (from-to)332-335
Number of pages4
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - Dec 1 1989
EventProceedings of the 28th IEEE Conference on Decision and Control. Part 1 (of 3) - Tampa, FL, USA
Duration: Dec 13 1989Dec 15 1989

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Critical Load
Hopf bifurcation
Voltage control
Hopf Bifurcation
Voltage
Control System
Control systems
Center Manifold
Bifurcation Theory
Periodic Solution
Excitation
Eigenvalue
Model

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Analysis of voltage control systems exhibiting Hopf bifurcation. / Rajagopalan, C.; Sauer, Peter W; Pai, M. A.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 1, 01.12.1989, p. 332-335.

Research output: Contribution to journalConference article

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