Estimating Relevant Portion of Stability Region using Lyapunov Approach and Sum of Squares

Chetan Mishra, James S. Thorp, Virgilio A. Centeno, Anamitra Pal

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Traditional Lyapunov-based transient stability assessment approaches focus on identifying the stability region (SR) of the equilibrium point under study. When trying to estimate this region using Lyapunov functions, the shape of the final estimate is often limited by the degree of the function chosen - a limitation that results in conservativeness in the estimate of the SR. More conservative the estimate is in a particular region in state space, smaller is the estimate of the critical clearing time (CCT) for disturbances that drive the system towards that region. In order to reduce this conservativeness, we propose a methodology that uses the disturbance trajectory data to skew the shape of the final Lyapunov-based SR estimate. We exploit the advances made in the theory of sum of squares decomposition to algorithmically estimate this region. The effectiveness of this technique is demonstrated on a power systems classical model.

Original languageEnglish (US)
Title of host publication2018 IEEE Power and Energy Society General Meeting, PESGM 2018
PublisherIEEE Computer Society
Volume2018-August
ISBN (Electronic)9781538677032
DOIs
StatePublished - Dec 21 2018
Event2018 IEEE Power and Energy Society General Meeting, PESGM 2018 - Portland, United States
Duration: Aug 5 2018Aug 10 2018

Other

Other2018 IEEE Power and Energy Society General Meeting, PESGM 2018
CountryUnited States
CityPortland
Period8/5/188/10/18

Fingerprint

Lyapunov functions
Trajectories
Decomposition

Keywords

  • Direct methods
  • Lyapunov estimate
  • Relevant stability region
  • Sum of squares (SOS)

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

Cite this

Mishra, C., Thorp, J. S., Centeno, V. A., & Pal, A. (2018). Estimating Relevant Portion of Stability Region using Lyapunov Approach and Sum of Squares. In 2018 IEEE Power and Energy Society General Meeting, PESGM 2018 (Vol. 2018-August). [8586345] IEEE Computer Society. https://doi.org/10.1109/PESGM.2018.8586345

Estimating Relevant Portion of Stability Region using Lyapunov Approach and Sum of Squares. / Mishra, Chetan; Thorp, James S.; Centeno, Virgilio A.; Pal, Anamitra.

2018 IEEE Power and Energy Society General Meeting, PESGM 2018. Vol. 2018-August IEEE Computer Society, 2018. 8586345.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mishra, C, Thorp, JS, Centeno, VA & Pal, A 2018, Estimating Relevant Portion of Stability Region using Lyapunov Approach and Sum of Squares. in 2018 IEEE Power and Energy Society General Meeting, PESGM 2018. vol. 2018-August, 8586345, IEEE Computer Society, 2018 IEEE Power and Energy Society General Meeting, PESGM 2018, Portland, United States, 8/5/18. https://doi.org/10.1109/PESGM.2018.8586345
Mishra C, Thorp JS, Centeno VA, Pal A. Estimating Relevant Portion of Stability Region using Lyapunov Approach and Sum of Squares. In 2018 IEEE Power and Energy Society General Meeting, PESGM 2018. Vol. 2018-August. IEEE Computer Society. 2018. 8586345 https://doi.org/10.1109/PESGM.2018.8586345
Mishra, Chetan ; Thorp, James S. ; Centeno, Virgilio A. ; Pal, Anamitra. / Estimating Relevant Portion of Stability Region using Lyapunov Approach and Sum of Squares. 2018 IEEE Power and Energy Society General Meeting, PESGM 2018. Vol. 2018-August IEEE Computer Society, 2018.
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