Low voltage power flow solutions and their role in exit time based security measures for voltage collapse

Christoper L. DeMarco, Thomas J. Overbye

Research output: Contribution to journalArticle


The authors examine the nature of the low-voltage power flow solution in power system models that involve voltage-magnitude-dependent reactive loads. The role of these solutions in exit-time-based measures of security with respect to voltage collapse is considered, and the special role of a 'lowest energy' solution is highlighted. Heuristics for initializing the Newton-Raphson (N-R) iteration for finding this low voltage solution are proposed and illustrated in sample networks. The convergence properties of the N-R algorithm are illustrated by examining the region of attraction associated with various low-voltage power flow solution with respect to the N-R iteration in sample networks.

Original languageEnglish (US)
Pages (from-to)2127-2131
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1988


ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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