Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system

Wissam Dib; Romeo Ortega; Alessandro Astolfi; David Hill

doi:10.1109/acc.2011.5991044

Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system

Wissam Dib, Romeo Ortega, Alessandro Astolfi, David Hill

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

19 Citations (Scopus)

Abstract

In this paper the problem of designing excitation controllers to improve the transient stability of multimachine power systems is addressed adopting two new perspectives. First, instead of the standard formulation of stabilization of an equilibrium point, we aim here at the more realistic objective of keeping the difference between the generators rotor angles bounded and their speeds equal - which is called synchronization in the power literature - and translates into a problem of stabilization of a set. Second, we adopt the classical viewpoint of power systems as a set of coupled nonlinear pendula, and express our control objective as ensuring that some suitable defined pendula dynamics are (asymptotically) immersed into the power system dynamics. Our main contribution is the explicit computation of a control law for the 2-machine system that achieves global synchronization. The same procedure is applicable to the n-machine case, for which the existence of a locally stabilizing solution is established.

Original language	English
Title of host publication	Proceedings of the 2011 American Control Conference, ACC 2011
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	1408-1413
Number of pages	6
ISBN (Print)	9781457700804
DOIs	https://doi.org/10.1109/acc.2011.5991044
Publication status	Published - 2011
Externally published	Yes
Event	American Control Conference 2011 - San Francisco, United States of America Duration: 29 Jun 2011 → 1 Jul 2011 https://ieeexplore.ieee.org/xpl/conhome/5975310/proceeding (Proceedings)

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	American Control Conference 2011
Abbreviated title	ACC 2011
Country/Territory	United States of America
City	San Francisco
Period	29/06/11 → 1/07/11
Internet address	https://ieeexplore.ieee.org/xpl/conhome/5975310/proceeding (Proceedings)

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10.1109/acc.2011.5991044

Cite this

Dib, W., Ortega, R., Astolfi, A., & Hill, D. (2011). Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 1408-1413). (Proceedings of the American Control Conference). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/acc.2011.5991044

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title = "Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system",

abstract = "In this paper the problem of designing excitation controllers to improve the transient stability of multimachine power systems is addressed adopting two new perspectives. First, instead of the standard formulation of stabilization of an equilibrium point, we aim here at the more realistic objective of keeping the difference between the generators rotor angles bounded and their speeds equal - which is called synchronization in the power literature - and translates into a problem of stabilization of a set. Second, we adopt the classical viewpoint of power systems as a set of coupled nonlinear pendula, and express our control objective as ensuring that some suitable defined pendula dynamics are (asymptotically) immersed into the power system dynamics. Our main contribution is the explicit computation of a control law for the 2-machine system that achieves global synchronization. The same procedure is applicable to the n-machine case, for which the existence of a locally stabilizing solution is established.",

author = "Wissam Dib and Romeo Ortega and Alessandro Astolfi and David Hill",

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language = "English",

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series = "Proceedings of the American Control Conference",

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pages = "1408--1413",

booktitle = "Proceedings of the 2011 American Control Conference, ACC 2011",

address = "United States of America",

note = "American Control Conference 2011, ACC 2011 ; Conference date: 29-06-2011 Through 01-07-2011",

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Dib, W, Ortega, R, Astolfi, A & Hill, D 2011, Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system. in Proceedings of the 2011 American Control Conference, ACC 2011. Proceedings of the American Control Conference, IEEE, Institute of Electrical and Electronics Engineers, pp. 1408-1413, American Control Conference 2011, San Francisco, California, United States of America, 29/06/11. https://doi.org/10.1109/acc.2011.5991044

Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system. / Dib, Wissam; Ortega, Romeo; Astolfi, Alessandro et al.
Proceedings of the 2011 American Control Conference, ACC 2011. IEEE, Institute of Electrical and Electronics Engineers, 2011. p. 1408-1413 (Proceedings of the American Control Conference).

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

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AB - In this paper the problem of designing excitation controllers to improve the transient stability of multimachine power systems is addressed adopting two new perspectives. First, instead of the standard formulation of stabilization of an equilibrium point, we aim here at the more realistic objective of keeping the difference between the generators rotor angles bounded and their speeds equal - which is called synchronization in the power literature - and translates into a problem of stabilization of a set. Second, we adopt the classical viewpoint of power systems as a set of coupled nonlinear pendula, and express our control objective as ensuring that some suitable defined pendula dynamics are (asymptotically) immersed into the power system dynamics. Our main contribution is the explicit computation of a control law for the 2-machine system that achieves global synchronization. The same procedure is applicable to the n-machine case, for which the existence of a locally stabilizing solution is established.

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Dib W, Ortega R, Astolfi A, Hill D. Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system. In Proceedings of the 2011 American Control Conference, ACC 2011. IEEE, Institute of Electrical and Electronics Engineers. 2011. p. 1408-1413. (Proceedings of the American Control Conference). doi: 10.1109/acc.2011.5991044

Improving transient stability of multi-machine power systems: Synchronization via immersion of a pendular system

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