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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

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, and provide an estimate of their region of contraction. We provide ways to satisfy these conditions and illustrate our results based on numerical simulations of a two-converter benchmark.

Original language	English
Title of host publication	2020 59th IEEE Conference on Decision and Control, CDC 2020
Publisher	Institute of Electrical and Electronics Engineers
Pages	836-841
Number of pages	6
ISBN (Electronic)	978-1-7281-7447-1
DOIs	https://doi.org/10.1109/CDC42340.2020.9304344
Publication status	Published - 11 Jan 2021
Event	59th IEEE Conference on Decision and Control, CDC 2020 - Virtual/Online, Virtual, Jeju Island, Korea, Republic of Duration: 14 Dec 2020 → 18 Dec 2020 Conference number: 59 https://cdc2020.ieeecss.org/

Conference

Conference	59th IEEE Conference on Decision and Control, CDC 2020
Abbreviated title	CDC
Country/Territory	Korea, Republic of
City	Virtual, Jeju Island
Period	14/12/20 → 18/12/20
Internet address	https://cdc2020.ieeecss.org/

Bibliographical note

Funding Information:
*This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No: 834142).

Funding

*This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No: 834142).

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10.1109/CDC42340.2020.9304344

Cite this

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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, and provide an estimate of their region of contraction. We provide ways to satisfy these conditions and illustrate our results based on numerical simulations of a two-converter benchmark.",

author = "Taouba Jouini and Zhiyong Sun",

note = "Funding Information: *This work has received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation program (grant agreement No: 834142). ; 59th IEEE Conference on Decision and Control, CDC 2020, CDC ; Conference date: 14-12-2020 Through 18-12-2020",

year = "2021",

month = jan,

day = "11",

doi = "10.1109/CDC42340.2020.9304344",

language = "English",

pages = "836--841",

booktitle = "2020 59th IEEE Conference on Decision and Control, CDC 2020",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

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

}

Jouini, T & Sun, Z 2021, Fully decentralized conditions for local convergence of DC/AC converter network based on matching control. in 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9304344, Institute of Electrical and Electronics Engineers, pp. 836-841, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republic of, 14/12/20. 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.
2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers, 2021. p. 836-841 9304344.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Sun, Zhiyong

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PY - 2021/1/11

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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, and provide an estimate of their region of contraction. We provide ways to satisfy these conditions and 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, and provide an estimate of their region of contraction. We provide ways to satisfy these conditions and illustrate our results based on numerical simulations of a two-converter benchmark.

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DO - 10.1109/CDC42340.2020.9304344

M3 - Conference contribution

AN - SCOPUS:85095478421

SP - 836

EP - 841

BT - 2020 59th IEEE Conference on Decision and Control, CDC 2020

PB - Institute of Electrical and Electronics Engineers

T2 - 59th IEEE Conference on Decision and Control, CDC 2020

Y2 - 14 December 2020 through 18 December 2020

ER -

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

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