Risk-constrained energy management with multiple wind farms

Yu Zhang, Nikolaos Gatsis, Georgios B. Giannakis

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

26 Scopus citations

Abstract

To achieve the goal of high wind power penetration in future smart grids, economic energy management accounting for the stochastic nature of wind power is of paramount importance. Multi-period economic dispatch and demand-side management for power systems with multiple wind farms is considered in this paper. To address the challenge of intrinsically stochastic availability of the non-dispatchable wind power, a chance-constrained optimization problem is formulated to limit the risk of supply-demand imbalance based on the loss-of-Ioad probability (LOLP). Since the spatio-temporal joint distribution of the wind power generation is intractable, a novel scenario approximation technique using Monte Carlo sampling is pursued. Enticingly, the problem structure is leveraged to obtain a sample-size-free problem formulation, thus making it possible to accommodate a very small LOLP requirement even with a long scheduling time horizon. Finally, to capture the temporal and spatial correlation among power outputs of multiple wind farms, an autoregressive model is introduced to generate the required samples based on wind speed distribution models as well as the wind-speed-to-power-output mappings. Numerical results are provided to corroborate the effectiveness of the novel approach.

Original languageEnglish (US)
Title of host publication2013 IEEE PES Innovative Smart Grid Technologies Conference, ISGT 2013
DOIs
StatePublished - May 6 2013
Event2013 IEEE PES Innovative Smart Grid Technologies Conference, ISGT 2013 - Washington, DC, United States
Duration: Feb 24 2013Feb 27 2013

Publication series

Name2013 IEEE PES Innovative Smart Grid Technologies Conference, ISGT 2013

Other

Other2013 IEEE PES Innovative Smart Grid Technologies Conference, ISGT 2013
CountryUnited States
CityWashington, DC
Period2/24/132/27/13

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    Zhang, Y., Gatsis, N., & Giannakis, G. B. (2013). Risk-constrained energy management with multiple wind farms. In 2013 IEEE PES Innovative Smart Grid Technologies Conference, ISGT 2013 [6497884] (2013 IEEE PES Innovative Smart Grid Technologies Conference, ISGT 2013). https://doi.org/10.1109/ISGT.2013.6497884