Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies

K. Y. Henry Tsang; Bo Li; K. Y. Michael Wong

doi:10.1007/978-3-030-05411-3_68

Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies

K. Y. Henry Tsang^*, Bo Li, K. Y. Michael Wong

^*Corresponding author for this work

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

1 Citation (Scopus)

Abstract

Synchronization is crucial for different natural or artificial systems. In power grids, synchronization in the system is essential for stable electricity transmission. However, fluctuations in power supply and demand can destabilize synchronization, especially with the increasing deployment of renewable sources. In real-time applications, one can only access their probabilistic information in the near future. Hence the synchronization stability is no longer a well-defined value, and we need to minimize the tail of its distribution. Remarkably, we found that by optimizing the mean value of the synchronization stability, the variance is also reduced. Hence the load shedding scheme optimizing the mean stability is sufficient in the presence of probabilistic uncertainties of the natural frequencies. In addition, we introduce a vulnerability measure of individual nodes to demonstrate how the topology of the network affects the synchronization stability.

Original language	English
Title of host publication	Complex Networks and Their Applications VII - Volume 1 Proceedings The 7th International Conference on Complex Networks and their Applications COMPLEX NETWORKS 2018
Editors	Renaud Lambiotte, Luis M. Rocha, Pietro Lió, Hocine Cherifi, Luca Maria Aiello, Chantal Cherifi
Publisher	Springer Verlag
Pages	854-865
Number of pages	12
ISBN (Print)	9783030054106
DOIs	https://doi.org/10.1007/978-3-030-05411-3_68
Publication status	Published - 2019
Externally published	Yes
Event	7th International Conference on Complex Networks and their Applications, COMPLEX NETWORKS 2018 - Cambridge, United Kingdom Duration: 11 Dec 2018 → 13 Dec 2018

Publication series

Name	Studies in Computational Intelligence
Volume	812
ISSN (Print)	1860-949X

Conference

Conference	7th International Conference on Complex Networks and their Applications, COMPLEX NETWORKS 2018
Country/Territory	United Kingdom
City	Cambridge
Period	11/12/18 → 13/12/18

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

Optimal resources adjustment
State-dependent algebraic connectivity
Synchronization stability

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1007/978-3-030-05411-3_68

Cite this

Henry Tsang, K. Y., Li, B., & Michael Wong, K. Y. (2019). Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies. In R. Lambiotte, L. M. Rocha, P. Lió, H. Cherifi, L. M. Aiello, & C. Cherifi (Eds.), Complex Networks and Their Applications VII - Volume 1 Proceedings The 7th International Conference on Complex Networks and their Applications COMPLEX NETWORKS 2018 (pp. 854-865). (Studies in Computational Intelligence; Vol. 812). Springer Verlag. https://doi.org/10.1007/978-3-030-05411-3_68

Henry Tsang, K. Y. ; Li, Bo ; Michael Wong, K. Y. / Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies. Complex Networks and Their Applications VII - Volume 1 Proceedings The 7th International Conference on Complex Networks and their Applications COMPLEX NETWORKS 2018. editor / Renaud Lambiotte ; Luis M. Rocha ; Pietro Lió ; Hocine Cherifi ; Luca Maria Aiello ; Chantal Cherifi. Springer Verlag, 2019. pp. 854-865 (Studies in Computational Intelligence).

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title = "Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies",

abstract = "Synchronization is crucial for different natural or artificial systems. In power grids, synchronization in the system is essential for stable electricity transmission. However, fluctuations in power supply and demand can destabilize synchronization, especially with the increasing deployment of renewable sources. In real-time applications, one can only access their probabilistic information in the near future. Hence the synchronization stability is no longer a well-defined value, and we need to minimize the tail of its distribution. Remarkably, we found that by optimizing the mean value of the synchronization stability, the variance is also reduced. Hence the load shedding scheme optimizing the mean stability is sufficient in the presence of probabilistic uncertainties of the natural frequencies. In addition, we introduce a vulnerability measure of individual nodes to demonstrate how the topology of the network affects the synchronization stability.",

keywords = "Optimal resources adjustment, State-dependent algebraic connectivity, Synchronization stability",

author = "\{Henry Tsang\}, \{K. Y.\} and Bo Li and \{Michael Wong\}, \{K. Y.\}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.; 7th International Conference on Complex Networks and their Applications, COMPLEX NETWORKS 2018 ; Conference date: 11-12-2018 Through 13-12-2018",

year = "2019",

doi = "10.1007/978-3-030-05411-3\_68",

language = "English",

isbn = "9783030054106",

series = "Studies in Computational Intelligence",

publisher = "Springer Verlag",

pages = "854--865",

editor = "Renaud Lambiotte and Rocha, \{Luis M.\} and Pietro Li{\'o} and Hocine Cherifi and Aiello, \{Luca Maria\} and Chantal Cherifi",

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}

Henry Tsang, KY, Li, B & Michael Wong, KY 2019, Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies. in R Lambiotte, LM Rocha, P Lió, H Cherifi, LM Aiello & C Cherifi (eds), Complex Networks and Their Applications VII - Volume 1 Proceedings The 7th International Conference on Complex Networks and their Applications COMPLEX NETWORKS 2018. Studies in Computational Intelligence, vol. 812, Springer Verlag, pp. 854-865, 7th International Conference on Complex Networks and their Applications, COMPLEX NETWORKS 2018, Cambridge, United Kingdom, 11/12/18. https://doi.org/10.1007/978-3-030-05411-3_68

Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies. / Henry Tsang, K. Y.; Li, Bo; Michael Wong, K. Y.
Complex Networks and Their Applications VII - Volume 1 Proceedings The 7th International Conference on Complex Networks and their Applications COMPLEX NETWORKS 2018. ed. / Renaud Lambiotte; Luis M. Rocha; Pietro Lió; Hocine Cherifi; Luca Maria Aiello; Chantal Cherifi. Springer Verlag, 2019. p. 854-865 (Studies in Computational Intelligence; Vol. 812).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

TY - GEN

T1 - Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies

AU - Henry Tsang, K. Y.

AU - Li, Bo

AU - Michael Wong, K. Y.

PY - 2019

Y1 - 2019

N2 - Synchronization is crucial for different natural or artificial systems. In power grids, synchronization in the system is essential for stable electricity transmission. However, fluctuations in power supply and demand can destabilize synchronization, especially with the increasing deployment of renewable sources. In real-time applications, one can only access their probabilistic information in the near future. Hence the synchronization stability is no longer a well-defined value, and we need to minimize the tail of its distribution. Remarkably, we found that by optimizing the mean value of the synchronization stability, the variance is also reduced. Hence the load shedding scheme optimizing the mean stability is sufficient in the presence of probabilistic uncertainties of the natural frequencies. In addition, we introduce a vulnerability measure of individual nodes to demonstrate how the topology of the network affects the synchronization stability.

AB - Synchronization is crucial for different natural or artificial systems. In power grids, synchronization in the system is essential for stable electricity transmission. However, fluctuations in power supply and demand can destabilize synchronization, especially with the increasing deployment of renewable sources. In real-time applications, one can only access their probabilistic information in the near future. Hence the synchronization stability is no longer a well-defined value, and we need to minimize the tail of its distribution. Remarkably, we found that by optimizing the mean value of the synchronization stability, the variance is also reduced. Hence the load shedding scheme optimizing the mean stability is sufficient in the presence of probabilistic uncertainties of the natural frequencies. In addition, we introduce a vulnerability measure of individual nodes to demonstrate how the topology of the network affects the synchronization stability.

KW - Optimal resources adjustment

KW - State-dependent algebraic connectivity

KW - Synchronization stability

UR - https://www.scopus.com/pages/publications/85059087733

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DO - 10.1007/978-3-030-05411-3_68

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AN - SCOPUS:85059087733

SN - 9783030054106

T3 - Studies in Computational Intelligence

SP - 854

EP - 865

BT - Complex Networks and Their Applications VII - Volume 1 Proceedings The 7th International Conference on Complex Networks and their Applications COMPLEX NETWORKS 2018

A2 - Lambiotte, Renaud

A2 - Rocha, Luis M.

A2 - Lió, Pietro

A2 - Cherifi, Hocine

A2 - Aiello, Luca Maria

A2 - Cherifi, Chantal

PB - Springer Verlag

T2 - 7th International Conference on Complex Networks and their Applications, COMPLEX NETWORKS 2018

Y2 - 11 December 2018 through 13 December 2018

ER -

Henry Tsang KY, Li B, Michael Wong KY. Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies. In Lambiotte R, Rocha LM, Lió P, Cherifi H, Aiello LM, Cherifi C, editors, Complex Networks and Their Applications VII - Volume 1 Proceedings The 7th International Conference on Complex Networks and their Applications COMPLEX NETWORKS 2018. Springer Verlag. 2019. p. 854-865. (Studies in Computational Intelligence). doi: 10.1007/978-3-030-05411-3_68

Enhancing Synchronization Stability in Complex Networks with Probabilistic Natural Frequencies

Abstract

Publication series

Conference

Bibliographical note

Keywords

UN SDGs

Access to Document

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