Non-iterative algorithm for fast calculation of a voltage stability index

Young Huei Hong*, Ching Tsai Pan, Wen-Wei Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


When studying the static voltage stability of power systems, the smallest singular value of the Jacobian matrix of the load flow equation has been preferred as an indicator of voltage collapse. In this paper, a very efficient, non-iterative algorithm is adapted for estimating the minimum singular value of the triangular factor of the Jacobian matrix as a voltage stability index. This algorithm can be implemented easily based on the conventional power flow program. Only very limited extra memory is required during the computational process. In addition, its computation cost is rather cheap even compared with the existing efficient singular value decomposition method especially while applied to a large power system.

Original languageEnglish
Pages (from-to)69-76
Number of pages8
JournalJournal of the Chinese Institute of Electrical Engineering, Transactions of the Chinese Institute of Engineers, Series E/Chung KuoTien Chi Kung Chieng Hsueh K'an
Issue number1
StatePublished - 1 Feb 1996


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