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

Taouba Jouini; Zhiyong Sun

doi:10.1109/CDC42340.2020.9304344

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

Taouba Jouini, Zhiyong Sun

Department of Automatic Control

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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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.

Original language	English
Title of host publication	Proceedings on the Conference on Decision and Control, CDC 2020
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Number of pages	6
DOIs	https://doi.org/10.1109/CDC42340.2020.9304344
Publication status	Published - 2020
Event	59th IEEE Annual Conference on Decision and Control - Jeju Island (online), Korea, Republic of Duration: 2020 Dec 14 → 2020 Dec 18 https://cdc2020.ieeecss.org

Conference

Conference	59th IEEE Annual Conference on Decision and Control
Abbreviated title	CDC 2020
Country/Territory	Korea, Republic of
City	Jeju Island (online)
Period	2020/12/14 → 2020/12/18
Internet address	https://cdc2020.ieeecss.org

Subject classification (UKÄ)

Control Engineering

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10.1109/CDC42340.2020.9304344

1912.13136_3_Accepted author manuscript, 416 KB

ScalableControl: Scalable Control of Interconnected Systems
Rantzer, A. (PI), Jouini, T. (Researcher), Agner, F. (Researcher), Troeng, O. (Researcher), Kergus, P. (Researcher), Pates, R. (Researcher), Kjellqvist, O. (Researcher), Renganathan, V. (Researcher), Wu, D. (Researcher) & Lindberg, J. (Researcher)
2019/09/01 → 2024/08/31
Project: Research

Cite this

@inproceedings{0dcf3fdaf5da42d6b64b60797a075445,

title = "Fully decentralized conditions for local convergence of DC/AC converter network based on matching 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 benchmark.",

author = "Taouba Jouini and Zhiyong Sun",

year = "2020",

doi = "10.1109/CDC42340.2020.9304344",

language = "English",

booktitle = "Proceedings on the Conference on Decision and Control, CDC 2020",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "59th IEEE Annual Conference on Decision and Control, CDC 2020 ; Conference date: 14-12-2020 Through 18-12-2020",

url = "https://cdc2020.ieeecss.org",

}

Jouini, T & Sun, Z 2020, Fully decentralized conditions for local convergence of DC/AC converter network based on matching control. in Proceedings on the Conference on Decision and Control, CDC 2020. IEEE - Institute of Electrical and Electronics Engineers Inc., 59th IEEE Annual Conference on Decision and Control, Jeju Island (online), Korea, Republic of, 2020/12/14. https://doi.org/10.1109/CDC42340.2020.9304344

Fully decentralized conditions for local convergence of DC/AC converter network based on matching control. / Jouini, Taouba; Sun, Zhiyong.
Proceedings on the Conference on Decision and Control, CDC 2020. IEEE - Institute of Electrical and Electronics Engineers Inc., 2020.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Fully decentralized conditions for local convergence of DC/AC converter network based on matching control

AU - Jouini, Taouba

AU - Sun, Zhiyong

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

U2 - 10.1109/CDC42340.2020.9304344

DO - 10.1109/CDC42340.2020.9304344

M3 - Paper in conference proceeding

BT - Proceedings on the Conference on Decision and Control, CDC 2020

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 59th IEEE Annual Conference on Decision and Control

Y2 - 14 December 2020 through 18 December 2020

ER -

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

Abstract

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ScalableControl: Scalable Control of Interconnected Systems

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