Networked microgrid stability through distributed formal analysis

Yan Li; Peng Zhang; Meng Yue

doi:10.1016/j.apenergy.2018.06.038

Networked microgrid stability through distributed formal analysis

Yan Li, Peng Zhang, Meng Yue

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	279-288
Number of pages	10
Journal	Applied Energy
Volume	228
DOIs	https://doi.org/10.1016/j.apenergy.2018.06.038
State	Published - Oct 15 2018

All Science Journal Classification (ASJC) codes

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

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10.1016/j.apenergy.2018.06.038

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title = "Networked microgrid stability through distributed formal analysis",

abstract = "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 Ger{\v s}gorin (DQG) theory is then combined with DFA to identify systems{\textquoteright} 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{\textquoteright} stability.",

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AU - Li, Yan

AU - Zhang, Peng

AU - Yue, Meng

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AB - 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.

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JO - Applied Energy

JF - Applied Energy

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Networked microgrid stability through distributed formal analysis

Abstract

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