Stability analysis of microgrids with multiple der units and variable loads based on MPT

Yan Li, Wenzhong Gao, Jiuchun Jiang

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

11 Scopus citations


Generation dynamics and load dynamics plays an important role in the small signal stability analysis of Microgrids, especially for the islanded operation mode. It is essential for a Microgrid to maintain small signal stability characteristics under small changes of operating conditions caused by generation variations or load fluctuations. In this paper, a novel approach based on matrix perturbation theory (MPT) is proposed for the computation of eigen-solutions in a perturbed Microgrid system. Rigorous theoretical analysis is conducted on the distinct and multiple eigenvalues and their corresponding eigenvectors respectively under perturbations of generation or load. The computational flowchart of the system eigen-solutions is then proposed, aimed at obtaining eigenvalues and eigenvectors of a perturbed system without solving an eigenvalue problem repeatedly. Finally, the effectiveness of the matrix perturbation based approach for eigen-solutions' analysis are tested via a low-voltage Microgrid prototype.

Original languageEnglish (US)
Title of host publication2014 IEEE PES General Meeting / Conference and Exposition
PublisherIEEE Computer Society
ISBN (Electronic)9781479964154
StatePublished - Oct 29 2014
Event2014 IEEE Power and Energy Society General Meeting - National Harbor, United States
Duration: Jul 27 2014Jul 31 2014

Publication series

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


Other2014 IEEE Power and Energy Society General Meeting
Country/TerritoryUnited States
CityNational Harbor

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


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