Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Frequency Synchronization of a High-Order Multiconverter System

Jouini, Taouba LU and Sun, Zhiyong LU (2022) In IEEE Transactions on Control of Network Systems 9(2). p.1006-1016
Abstract

We investigate the frequency stability of a high-order multi-converter system. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of ac signals. We characterize the synchronous 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 frequency synchronous steady-state set by applying the center manifold theory. We guarantee the Jacobian's eigenvalue condition via an explicit approach that requires sufficient damping on the dc and ac side. Finally, we demonstrate our results based on a numerical example... (More)

We investigate the frequency stability of a high-order multi-converter system. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of ac signals. We characterize the synchronous 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 frequency synchronous steady-state set by applying the center manifold theory. We guarantee the Jacobian's eigenvalue condition via an explicit approach that requires sufficient damping on the dc and ac side. Finally, we demonstrate our results based on a numerical example involving a network of dc/ac converters.

(Less)
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Dc/ac converters, Lyapunov methods, nonlinear network analysis, power system stability
in
IEEE Transactions on Control of Network Systems
volume
9
issue
2
pages
11 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85133699614
ISSN
2325-5870
DOI
10.1109/TCNS.2021.3128493
language
English
LU publication?
yes
id
d9061de1-5bd5-4288-b6ef-e6626bd7afc0
date added to LUP
2022-08-30 13:36:49
date last changed
2022-08-30 13:36:49
@article{d9061de1-5bd5-4288-b6ef-e6626bd7afc0,
  abstract     = {{<p>We investigate the frequency stability of a high-order multi-converter system. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of ac signals. We characterize the synchronous 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 frequency synchronous steady-state set by applying the center manifold theory. We guarantee the Jacobian's eigenvalue condition via an explicit approach that requires sufficient damping on the dc and ac side. Finally, we demonstrate our results based on a numerical example involving a network of dc/ac converters.</p>}},
  author       = {{Jouini, Taouba and Sun, Zhiyong}},
  issn         = {{2325-5870}},
  keywords     = {{Dc/ac converters; Lyapunov methods; nonlinear network analysis; power system stability}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{1006--1016}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Control of Network Systems}},
  title        = {{Frequency Synchronization of a High-Order Multiconverter System}},
  url          = {{http://dx.doi.org/10.1109/TCNS.2021.3128493}},
  doi          = {{10.1109/TCNS.2021.3128493}},
  volume       = {{9}},
  year         = {{2022}},
}