A Quantitative Approach for Convergence Analysis of a Singularly Perturbed Inverter-Based Microgrid

Nayak, A; Rayguru, MM; Mishra, S; Hossain, MJ

A Quantitative Approach for Convergence Analysis of a Singularly Perturbed Inverter-Based Microgrid

Nayak, A Rayguru, MM Mishra, S Hossain, MJ

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Publisher:: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Publication Type:: Journal Article
Citation:: IEEE Transactions on Energy Conversion, 2021, 36, (4), pp. 3016-3030
Issue Date:: 2021-12-01

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Field	Value	Language
dc.contributor.author	Nayak, A
dc.contributor.author	Rayguru, MM
dc.contributor.author	Mishra, S
dc.contributor.author	Hossain, MJ
dc.date.accessioned	2022-02-26T02:37:20Z
dc.date.available	2022-02-26T02:37:20Z
dc.date.issued	2021-12-01
dc.identifier.citation	IEEE Transactions on Energy Conversion, 2021, 36, (4), pp. 3016-3030
dc.identifier.issn	0885-8969
dc.identifier.issn	1558-0059
dc.identifier.uri	http://hdl.handle.net/10453/154867
dc.description.abstract	A reduced-order model of a converter-dominated microgrid system may not resemble its full-order system associated with uncertainties. This paper aims to provide a singular perturbation-based contraction framework for model order reduction in converter-dominated uncertain microgrid systems. For this purpose, the concerned microgrid system is modeled as a generalized multi-Timescale system, and certain sufficient conditions are derived such that convergence between the trajectories of the uncertain full-order and the corresponding reduced-order model can be guaranteed. The contraction theory-based strategy also provides explicit parameter-dependent expressions for quantifying discrepancies. The derived results are utilized to analyze the inverter-based microgrid system's convergence behavior and obtain uncertainty bounds on its parameters. Further, the effects of modeling uncertainties and different loading conditions on the reduced-order model's validity are also discussed. It is observed that for any uncertainty associated with the microgrid parameters that are within the bounds of checkable conditions, the states of the reduced-order microgrid model converge to that of the uncertain full-order system. Further, it is also shown that the obtained discrepancy expressions are more precise than state of the art.
dc.language	English
dc.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
dc.relation.ispartof	IEEE Transactions on Energy Conversion
dc.relation.isbasedon	10.1109/TEC.2021.3085851
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	0906 Electrical and Electronic Engineering
dc.subject.classification	Electrical & Electronic Engineering
dc.title	A Quantitative Approach for Convergence Analysis of a Singularly Perturbed Inverter-Based Microgrid
dc.type	Journal Article
utslib.citation.volume	36
utslib.for	0906 Electrical and Electronic Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	open_access	*
utslib.copyright.embargo	2023-12-31T00:00:00+1000Z
dc.date.updated	2022-02-26T02:37:18Z
pubs.issue	4
pubs.publication-status	Published
pubs.volume	36
utslib.citation.issue	4

Abstract:

A reduced-order model of a converter-dominated microgrid system may not resemble its full-order system associated with uncertainties. This paper aims to provide a singular perturbation-based contraction framework for model order reduction in converter-dominated uncertain microgrid systems. For this purpose, the concerned microgrid system is modeled as a generalized multi-Timescale system, and certain sufficient conditions are derived such that convergence between the trajectories of the uncertain full-order and the corresponding reduced-order model can be guaranteed. The contraction theory-based strategy also provides explicit parameter-dependent expressions for quantifying discrepancies. The derived results are utilized to analyze the inverter-based microgrid system's convergence behavior and obtain uncertainty bounds on its parameters. Further, the effects of modeling uncertainties and different loading conditions on the reduced-order model's validity are also discussed. It is observed that for any uncertainty associated with the microgrid parameters that are within the bounds of checkable conditions, the states of the reduced-order microgrid model converge to that of the uncertain full-order system. Further, it is also shown that the obtained discrepancy expressions are more precise than state of the art.

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http://hdl.handle.net/10453/154867