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

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...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on energy conversion 2021-12, Vol.36 (4), p.3016-3030
Main Authors: Nayak, Abhishek, Rayguru, Madan Mohan, Mishra, Sukumar, Hossain, M. Jahangir
Format: Article
Language:English
Subjects:
Analytical models
Contraction
Convergence
Converters
Distributed generation
Inverters
Load modeling
Mathematical model
Mathematical models
microgrid system
Microgrids
Model reduction
multi-microgrid system
Parameters
partial contraction
Reduced order models
Reduced order systems
Singular perturbation
timescale
Uncertainty
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0885-8969
1558-0059
DOI:10.1109/TEC.2021.3085851