Integrated approach to dynamic and static voltage stability

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

Research output: Contribution to conferencePaper


The authors formulate voltage stability as a dynamic problem and show that the excitation systems plays a key role in determining voltage stability through the relevant eigenvalues of the linearized system's A matrix. Whereas in most studies using a linearized dynamic approach the electromechanical modes are of concern for stabilizing the system, it is shown in this study that the electrical variables associated with the excitation system play a dominant role. In the limiting case when there is no representation of the excitation system, the determinant of the load-flow Jacobian becomes the key determining factor. Under these conditions, Venikov's criterion is valid. The authors consider both the limited-Q and the unlimited-Q case, i.e., the Q limits on the reactive power generation.

Original languageEnglish (US)
Number of pages6
StatePublished - Jan 1 1989
EventProceedings of the 1989 American Control Conference - Pittsburgh, PA, USA
Duration: Jun 21 1989Jun 23 1989


OtherProceedings of the 1989 American Control Conference
CityPittsburgh, PA, USA

ASJC Scopus subject areas

  • Engineering(all)

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    Rajagopalan, C., Sauer, P. W., & Pai, M. A. (1989). Integrated approach to dynamic and static voltage stability. 1231-1236. Paper presented at Proceedings of the 1989 American Control Conference, Pittsburgh, PA, USA, .