Stochastic small signal stability of power system with random wind

Sai Pushpak, Umesh Vaidya, Subhonmesh Bose

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

Abstract

We study the small signal stochastic stability of an electric power system with variable wind energy. Random wind speed is shown to appear as a multiplicative parametric uncertainty in the linearized differential-algebraic description of the power system dynamics. Recent results on the stochastic stability of linear systems with multiplicative uncertainty allow us to characterize a critical variance of wind speed, beyond which the grid dynamics becomes mean square unstable. We illustrate the role of mean square stability and the critical variance through simulations on the IEEE 39-bus system.

Original languageEnglish (US)
Title of host publication2018 International Conference on Probabilistic Methods Applied to Power Systems, PMAPS 2018 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)9781538635964
DOIs
StatePublished - Aug 17 2018
Event2018 International Conference on Probabilistic Methods Applied to Power Systems, PMAPS 2018 - Boise, United States
Duration: Jun 24 2018Jun 28 2018

Publication series

Name2018 International Conference on Probabilistic Methods Applied to Power Systems, PMAPS 2018 - Proceedings

Other

Other2018 International Conference on Probabilistic Methods Applied to Power Systems, PMAPS 2018
CountryUnited States
CityBoise
Period6/24/186/28/18

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ASJC Scopus subject areas

  • Computer Networks and Communications
  • Statistics, Probability and Uncertainty
  • Energy Engineering and Power Technology
  • Statistics and Probability

Cite this

Pushpak, S., Vaidya, U., & Bose, S. (2018). Stochastic small signal stability of power system with random wind. In 2018 International Conference on Probabilistic Methods Applied to Power Systems, PMAPS 2018 - Proceedings [8440378] (2018 International Conference on Probabilistic Methods Applied to Power Systems, PMAPS 2018 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/PMAPS.2018.8440378