Negative Reactance Impacts on the Eigenvalues of the Jacobian Matrix in Power Flow and Type-1 Low-Voltage Power-Flow Solutions

Tao Ding, Cheng Li, Yongheng Yang, Rui Bo, Frede Blaabjerg

Research output: Contribution to journalJournal articleResearchpeer-review

4 Citations (Scopus)
136 Downloads (Pure)

Abstract

It was usually considered in power systems that power flow equations had multiple solutions and all the eigenvalues of Jacobian ma-trix at the high-voltage operable solution should have negative real parts. Accordingly, type-1 low-voltage power flow solutions are defined in the case that the Jacobian matrix has only one positive real-part eigenvalue. However, an important issue which has not been well addressed yet is that the “negative reactance” may appear in the practical power system models. Thus, the negative real-part eigenvalues of the Jacobian matrix at the high-voltage operable solution may be positive and also the type-1 low-voltage solutions could have more than one positive real-part eigen-values, being a major challenge. Therefore, in this paper, the recognition of the type-1 low-voltage power flow solutions is re-examined with the presence of negative reactance. Selected IEEE standard power system models and the real-world Polish power systems are then tested to verify the analysis. The results reveal that the negative reactance in the practical power systems has a significant impact on the negative real-part eigen-values of the Jacobian matrix at the high-voltage operable solution as well as the number of positive real-part eigenvalues at the type-1 low-voltage power flow solutions.
Original languageEnglish
JournalIEEE Transactions on Power Systems
Volume32
Issue number5
Pages (from-to)3471 - 3481
Number of pages11
ISSN0885-8950
DOIs
Publication statusPublished - Sep 2017

Keywords

  • Type-1 power flow solution
  • Negative reactance
  • Power flow
  • Continuation power flow
  • Eigenvalues

Fingerprint Dive into the research topics of 'Negative Reactance Impacts on the Eigenvalues of the Jacobian Matrix in Power Flow and Type-1 Low-Voltage Power-Flow Solutions'. Together they form a unique fingerprint.

  • Cite this