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Frequency synchronization of a high-order multi-converter system

Jouini, Taouba LU and Sun, Zhiyong LU (2021) In IEEE Transactions on Control of Network Systems
Abstract
We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC signals. We characterize the steady state set, primarily determined by the steady state angles and DC power input. Based on eigenvalue conditions of its Jacobian matrix, we show asymptotic stability of the multi-converter system in a neighborhood of the synchronous steady state set by applying the center manifold theory. We guarantee the eigenvalue conditions via an explicit approach. Finally, we demonstrate our results based on a numerical example involving a network of identical DC/AC converter systems.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
in press
subject
in
IEEE Transactions on Control of Network Systems
pages
12 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
ISSN
2325-5870
project
Scalable Control of Interconnected Systems
language
English
LU publication?
yes
id
885b22b5-f213-449f-a65f-6042516a75fa
date added to LUP
2020-07-29 10:49:56
date last changed
2021-11-22 16:23:04
@article{885b22b5-f213-449f-a65f-6042516a75fa,
  abstract     = {{We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC signals. We characterize the steady state set, primarily determined by the steady state angles and DC power input. Based on eigenvalue conditions of its Jacobian matrix, we show asymptotic stability of the multi-converter system in a neighborhood of the synchronous steady state set by applying the center manifold theory. We guarantee the eigenvalue conditions via an explicit approach. Finally, we demonstrate our results based on a numerical example involving a network of identical DC/AC converter systems.}},
  author       = {{Jouini, Taouba and Sun, Zhiyong}},
  issn         = {{2325-5870}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Control of Network Systems}},
  title        = {{Frequency synchronization of a high-order multi-converter system}},
  url          = {{https://lup.lub.lu.se/search/files/109916010/9aDbt.pdf}},
  year         = {{2021}},
}