A Geršgorin theory for robust microgrid stability analysis

Yan Li, Peng Zhang, Lingyu Ren, Taofeek Orekan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations


A robust stability assessment approach is presented to efficiently estimate eigenvalues in microgrids in the presence of bounded uncertainties. Through this method, all possible locations of eigenvalues can be directly obtained, which makes repeatedly eigenvalue calculation unnecessary when dealing with uncertainties. More importantly, a quasi-diagonalization technique is established to reduce the conservativeness of the Geršgorin theory. Extensive tests show that the new method enables highly efficient analysis on impact levels of disturbances and offers a useful tool for droop coefficients design which facilitates microgrids stable operation. Besides, test results show that the Geršgorin theory based approach can be effectively combined with other methods to obtain more accurate solutions. These salient features make the new method a powerful tool for planning, operating, and designing future microgrids.

Original languageEnglish (US)
Title of host publication2016 IEEE Power and Energy Society General Meeting, PESGM 2016
PublisherIEEE Computer Society
ISBN (Electronic)9781509041688
StatePublished - Nov 10 2016
Event2016 IEEE Power and Energy Society General Meeting, PESGM 2016 - Boston, United States
Duration: Jul 17 2016Jul 21 2016

Publication series

NameIEEE Power and Energy Society General Meeting
ISSN (Print)1944-9925
ISSN (Electronic)1944-9933


Other2016 IEEE Power and Energy Society General Meeting, PESGM 2016
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering


Dive into the research topics of 'A Geršgorin theory for robust microgrid stability analysis'. Together they form a unique fingerprint.

Cite this