A Geršgorin theory for robust microgrid stability analysis

Yan Li; Peng Zhang; Lingyu Ren; Taofeek Orekan

doi:10.1109/PESGM.2016.7741211

A Geršgorin theory for robust microgrid stability analysis

Yan Li
, Peng Zhang
, Lingyu Ren
, Taofeek Orekan

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

10 Scopus citations

Abstract

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 language	English (US)
Title of host publication	2016 IEEE Power and Energy Society General Meeting, PESGM 2016
Publisher	IEEE Computer Society
ISBN (Electronic)	9781509041688
DOIs	https://doi.org/10.1109/PESGM.2016.7741211
State	Published - Nov 10 2016
Event	2016 IEEE Power and Energy Society General Meeting, PESGM 2016 - Boston, United States Duration: Jul 17 2016 → Jul 21 2016

Publication series

Name	IEEE Power and Energy Society General Meeting
Volume	2016-November
ISSN (Print)	1944-9925
ISSN (Electronic)	1944-9933

Other

Other	2016 IEEE Power and Energy Society General Meeting, PESGM 2016
Country/Territory	United States
City	Boston
Period	7/17/16 → 7/21/16

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

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

Access to Document

10.1109/PESGM.2016.7741211

Cite this

@inproceedings{a710c88c44cd438880e90dd8f84c5b11,

title = "A Ger{\v s}gorin theory for robust microgrid stability analysis",

abstract = "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 Ger{\v s}gorin 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 Ger{\v s}gorin 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.",

author = "Yan Li and Peng Zhang and Lingyu Ren and Taofeek Orekan",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE Power and Energy Society General Meeting, PESGM 2016 ; Conference date: 17-07-2016 Through 21-07-2016",

year = "2016",

month = nov,

day = "10",

doi = "10.1109/PESGM.2016.7741211",

language = "English (US)",

series = "IEEE Power and Energy Society General Meeting",

publisher = "IEEE Computer Society",

booktitle = "2016 IEEE Power and Energy Society General Meeting, PESGM 2016",

address = "United States",

}

Li, Y, Zhang, P, Ren, L & Orekan, T 2016, A Geršgorin theory for robust microgrid stability analysis. in 2016 IEEE Power and Energy Society General Meeting, PESGM 2016., 7741211, IEEE Power and Energy Society General Meeting, vol. 2016-November, IEEE Computer Society, 2016 IEEE Power and Energy Society General Meeting, PESGM 2016, Boston, United States, 7/17/16. https://doi.org/10.1109/PESGM.2016.7741211

TY - GEN

T1 - A Geršgorin theory for robust microgrid stability analysis

AU - Li, Yan

AU - Zhang, Peng

AU - Ren, Lingyu

AU - Orekan, Taofeek

PY - 2016/11/10

Y1 - 2016/11/10

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85002249025

UR - https://www.scopus.com/pages/publications/85002249025#tab=citedBy

U2 - 10.1109/PESGM.2016.7741211

DO - 10.1109/PESGM.2016.7741211

M3 - Conference contribution

AN - SCOPUS:85002249025

T3 - IEEE Power and Energy Society General Meeting

BT - 2016 IEEE Power and Energy Society General Meeting, PESGM 2016

PB - IEEE Computer Society

T2 - 2016 IEEE Power and Energy Society General Meeting, PESGM 2016

Y2 - 17 July 2016 through 21 July 2016

ER -

A Geršgorin theory for robust microgrid stability analysis

Abstract

Publication series

Other

UN SDGs

All Science Journal Classification (ASJC) codes

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