Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids

Yanbing Mao; Ziang Zhang

doi:10.1109/CDC.2016.7798931

Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids

Yanbing Mao
, Ziang Zhang

Electrical and Computer Eng

Binghamton University

State University of New York Binghamton University

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

12 Scopus citations

Abstract

This paper addresses the problem of asymptotical frequency synchronization and phase-difference tracking for Kuramoto oscillators with N distinct natural frequencies. Through the stability analysis of Kuramoto oscillators with distributed phase-difference tracking controllers, we discover that by controlling phase-difference tracking errors and their integrations, the individual frequencies can asymptotically synchronize to the average natural frequencies of the group and phase differences can asymptotically track the given references. We also extend the proposed phase-difference tracking control to islanded microgrids assuming there are local controllers maintaining the voltage stability, to achieve frequency synchronization and control angle differences of voltages. Simulations, including the numerical examples of a network of N = 4 Kuramoto oscillators and an islanded microgrid consisting of two frequency-droop controllers and two loads, are provided to verify the effectiveness of proposed control strategies.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4364-4369
Number of pages	6
ISBN (Electronic)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7798931
State	Published - Dec 27 2016
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: Dec 12 2016 → Dec 14 2016

Publication series

Name	2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference	55th IEEE Conference on Decision and Control, CDC 2016
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 12/14/16

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10.1109/CDC.2016.7798931

Cite this

Mao, Y., & Zhang, Z. (2016). Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 4364-4369). Article 7798931 (2016 IEEE 55th Conference on Decision and Control, CDC 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7798931

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title = "Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids",

abstract = "This paper addresses the problem of asymptotical frequency synchronization and phase-difference tracking for Kuramoto oscillators with N distinct natural frequencies. Through the stability analysis of Kuramoto oscillators with distributed phase-difference tracking controllers, we discover that by controlling phase-difference tracking errors and their integrations, the individual frequencies can asymptotically synchronize to the average natural frequencies of the group and phase differences can asymptotically track the given references. We also extend the proposed phase-difference tracking control to islanded microgrids assuming there are local controllers maintaining the voltage stability, to achieve frequency synchronization and control angle differences of voltages. Simulations, including the numerical examples of a network of N = 4 Kuramoto oscillators and an islanded microgrid consisting of two frequency-droop controllers and two loads, are provided to verify the effectiveness of proposed control strategies.",

author = "Yanbing Mao and Ziang Zhang",

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doi = "10.1109/CDC.2016.7798931",

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Mao, Y & Zhang, Z 2016, Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7798931, 2016 IEEE 55th Conference on Decision and Control, CDC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 4364-4369, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7798931

Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids. / Mao, Yanbing; Zhang, Ziang.
2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 4364-4369 7798931 (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

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

TY - GEN

T1 - Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids

AU - Mao, Yanbing

AU - Zhang, Ziang

PY - 2016/12/27

Y1 - 2016/12/27

N2 - This paper addresses the problem of asymptotical frequency synchronization and phase-difference tracking for Kuramoto oscillators with N distinct natural frequencies. Through the stability analysis of Kuramoto oscillators with distributed phase-difference tracking controllers, we discover that by controlling phase-difference tracking errors and their integrations, the individual frequencies can asymptotically synchronize to the average natural frequencies of the group and phase differences can asymptotically track the given references. We also extend the proposed phase-difference tracking control to islanded microgrids assuming there are local controllers maintaining the voltage stability, to achieve frequency synchronization and control angle differences of voltages. Simulations, including the numerical examples of a network of N = 4 Kuramoto oscillators and an islanded microgrid consisting of two frequency-droop controllers and two loads, are provided to verify the effectiveness of proposed control strategies.

AB - This paper addresses the problem of asymptotical frequency synchronization and phase-difference tracking for Kuramoto oscillators with N distinct natural frequencies. Through the stability analysis of Kuramoto oscillators with distributed phase-difference tracking controllers, we discover that by controlling phase-difference tracking errors and their integrations, the individual frequencies can asymptotically synchronize to the average natural frequencies of the group and phase differences can asymptotically track the given references. We also extend the proposed phase-difference tracking control to islanded microgrids assuming there are local controllers maintaining the voltage stability, to achieve frequency synchronization and control angle differences of voltages. Simulations, including the numerical examples of a network of N = 4 Kuramoto oscillators and an islanded microgrid consisting of two frequency-droop controllers and two loads, are provided to verify the effectiveness of proposed control strategies.

UR - https://www.scopus.com/pages/publications/85010750327

U2 - 10.1109/CDC.2016.7798931

DO - 10.1109/CDC.2016.7798931

M3 - Conference contribution

T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

SP - 4364

EP - 4369

BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 55th IEEE Conference on Decision and Control, CDC 2016

Y2 - 12 December 2016 through 14 December 2016

ER -

Mao Y, Zhang Z. Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 4364-4369. 7798931. (2016 IEEE 55th Conference on Decision and Control, CDC 2016). doi: 10.1109/CDC.2016.7798931

Distributed frequency synchronization and phase-difference tracking for Kuramoto oscillators and its application to islanded microgrids

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