A Lyapunov approach for transient stability analysis of droop inverter-based mesh microgrids using line-based model

Hoa Dinh Nguyen, Huynh Ngoc Tran, Tatsuo Narikiyo, Michihiro Kawanishi

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

Abstract

This paper proposes a systematic approach to derive analytical and explicit certificates for transient stability analysis of inverter-based microgrids. We first derive a line-based model of microgrids with general mesh structure. Then by employing Lyapunov stability theory with a quadratic Lyapunov function, the region of attraction of any post-fault stable equilibrium point (EP) is estimated by a large domain which contains the well-known principle region inside, if a low-dimension convex LMI problem is feasible. Accordingly, it provides a very efficient and robust transient stability certificate which can be calculated off-line, easily, and very fast. Moreover, it can be applied to microgrids with any structure. Finally, numerous tests on a microgrid are then given to illustrate the effectiveness of the proposed approach.

Original languageEnglish
Title of host publication1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1655-1660
Number of pages6
ISBN (Electronic)9781509021826
DOIs
Publication statusPublished - Oct 6 2017
Event1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 - Kohala Coast, United States
Duration: Aug 27 2017Aug 30 2017

Publication series

Name1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Volume2017-January

Other

Other1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
CountryUnited States
CityKohala Coast
Period8/27/178/30/17

Fingerprint

Microgrid
Transient Analysis
Inverter
Lyapunov
Stability Analysis
Mesh
Line
Certificate
Lyapunov functions
Lyapunov Stability Theory
Robust Stability
Quadratic Function
Equilibrium Point
Model
Lyapunov Function
Fault

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Hardware and Architecture
  • Software
  • Control and Systems Engineering

Cite this

Nguyen, H. D., Tran, H. N., Narikiyo, T., & Kawanishi, M. (2017). A Lyapunov approach for transient stability analysis of droop inverter-based mesh microgrids using line-based model. In 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 (pp. 1655-1660). (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017; Vol. 2017-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCTA.2017.8062694

A Lyapunov approach for transient stability analysis of droop inverter-based mesh microgrids using line-based model. / Nguyen, Hoa Dinh; Tran, Huynh Ngoc; Narikiyo, Tatsuo; Kawanishi, Michihiro.

1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 1655-1660 (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017; Vol. 2017-January).

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

Nguyen, HD, Tran, HN, Narikiyo, T & Kawanishi, M 2017, A Lyapunov approach for transient stability analysis of droop inverter-based mesh microgrids using line-based model. in 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017. 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017, vol. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 1655-1660, 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017, Kohala Coast, United States, 8/27/17. https://doi.org/10.1109/CCTA.2017.8062694
Nguyen HD, Tran HN, Narikiyo T, Kawanishi M. A Lyapunov approach for transient stability analysis of droop inverter-based mesh microgrids using line-based model. In 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 1655-1660. (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017). https://doi.org/10.1109/CCTA.2017.8062694
Nguyen, Hoa Dinh ; Tran, Huynh Ngoc ; Narikiyo, Tatsuo ; Kawanishi, Michihiro. / A Lyapunov approach for transient stability analysis of droop inverter-based mesh microgrids using line-based model. 1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 1655-1660 (1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017).
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