Networked microgrid stability through distributed formal analysis

Yan Li, Peng Zhang, Meng Yue

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


A scalable distributed formal analysis (DFA) via reachable set computation is presented to efficiently evaluate the stability of networked microgrids under disturbances induced by distributed energy resources (DERs). With mathematical rigor, DFA can efficiently compute the boundaries of all possible dynamics in a distributed way, which are unattainable via traditional time-domain simulations or direct methods. A distributed quasi-diagonalized Geršgorin (DQG) theory is then combined with DFA to identify systems’ stability margins. A microgrid-oriented decomposition approach is established to decouple a networked microgrid system and enable calculations of DFA and DQG while also preserving the privacy of each subsystem. Numerical tests on a networked microgrid system validate that DFA and DQG facilitate the efficient calculation and analysis of networked microgrids’ stability.

Original languageEnglish (US)
Pages (from-to)279-288
Number of pages10
JournalApplied Energy
StatePublished - Oct 15 2018

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • General Energy
  • Management, Monitoring, Policy and Law
  • Building and Construction
  • Renewable Energy, Sustainability and the Environment


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