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Fully decentralized conditions for local convergence of DC/AC converter network based on matching control

Jouini, Taouba LU and Sun, Zhiyong LU (2020) 59th IEEE Annual Conference on Decision and Control
Abstract
We investigate local convergence of identical DC/AC converters interconnected via identical resistive and inductive lines towards a synchronous equilibrium manifold. We exploit the symmetry of the resulting vector field and develop a Lyapunov-based framework, in which we measure the distance of the solutions of the nonlinear power system model to the equilibrium manifold by analyzing the evolution of their tangent vectors. We derive sufficient and fully decentralized conditions to characterize the equilibria of interest, as well as their region of contraction. We provide ways to satisfy these conditions and initialize each converter on the contraction region. We illustrate our results based on numerical simulations of a two-converter... (More)
We investigate local convergence of identical DC/AC converters interconnected via identical resistive and inductive lines towards a synchronous equilibrium manifold. We exploit the symmetry of the resulting vector field and develop a Lyapunov-based framework, in which we measure the distance of the solutions of the nonlinear power system model to the equilibrium manifold by analyzing the evolution of their tangent vectors. We derive sufficient and fully decentralized conditions to characterize the equilibria of interest, as well as their region of contraction. We provide ways to satisfy these conditions and initialize each converter on the contraction region. We illustrate our results based on numerical simulations of a two-converter benchmark.

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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings on the Conference on Decision and Control, CDC 2020
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
59th IEEE Annual Conference on Decision and Control
conference location
Jeju Island (online), Korea, Republic of
conference dates
2020-12-14 - 2020-12-18
external identifiers
  • scopus:85095478421
DOI
10.1109/CDC42340.2020.9304344
project
Scalable Control of Interconnected Systems
language
English
LU publication?
yes
id
0dcf3fda-f5da-42d6-b64b-60797a075445
date added to LUP
2020-10-13 12:45:48
date last changed
2022-04-19 01:16:13
@inproceedings{0dcf3fda-f5da-42d6-b64b-60797a075445,
  abstract     = {{We investigate local convergence of identical DC/AC converters interconnected via identical resistive and inductive lines towards a synchronous equilibrium manifold. We exploit the symmetry of the resulting vector field and develop a Lyapunov-based framework, in which we measure the distance of the solutions of the nonlinear power system model to the equilibrium manifold by analyzing the evolution of their tangent vectors. We derive sufficient and fully decentralized conditions to characterize the equilibria of interest, as well as their region of contraction. We provide ways to satisfy these conditions and initialize each converter on the contraction region. We illustrate our results based on numerical simulations of a two-converter benchmark.<br/><br/>}},
  author       = {{Jouini, Taouba and Sun, Zhiyong}},
  booktitle    = {{Proceedings on the Conference on Decision and Control, CDC 2020}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Fully decentralized conditions for local convergence of DC/AC converter network based on matching control}},
  url          = {{https://lup.lub.lu.se/search/files/97544877/1912.13136_3_.pdf}},
  doi          = {{10.1109/CDC42340.2020.9304344}},
  year         = {{2020}},
}