Managing Uncertainty in the Modern Power System: from Algorithms to Market Design

Project Status: 
Completed

This research aims to develop novel algorithmic tools to efficiently manage the variability that renewable energy resources bring to bear on power system operations at scale. Specifically, this work aims to (1) develop distributionally robust control algorithms to enable the near-optimal dispatch of uncertain power networks; and (2) design stochastic market clearing mechanisms to provide a competitive medium through which renewable power producers can sell their variable supply on equal footing with conventional power producers and flexible demand.

Related Publications

Bitar, Eilyan, and Yunjian Xu. "Deadline Differentiated Pricing of Deferrable Electric Loads." IEEE Transactions on Smart Grid 8.1 (2017) 13 - 25.
Khezeli, Kia, Weixuan Lin, and Eilyan Bitar. "Learning to Buy (and Sell) Demand Response." IFAC-PapersOnLine 50.1 (2017) 6761 - 6767.
Louca, Raphael, Subhonmesh Bose, and Eilyan Bitar. "A bound on the minimum rank of solutions to sparse linear matrix equations." 2016 American Control Conference (ACC). Boston, MA, USA: IEEE, 2016. 6501 - 6506.
Louca, Raphael, and Eilyan Bitar. "A hierarchy of polyhedral approximations of robust semidefinite programs." 2016 IEEE 55th Conference on Decision and Control (CDC). Las Vegas, NV, USA: IEEE, 2016. 7056 - 7062.
Khezeli, Kia, and Eilyan Bitar. "Data-driven pricing of demand response." 2016 IEEE International Conference on Smart Grid Communications (SmartGridComm). Sydney, Australia: IEEE, 2016. 224 - 229.
Lin, Weixuan, and Eilyan Bitar. "Decentralized control of distributed energy resources in radial distribution systems." 2016 IEEE International Conference on Smart Grid Communications (SmartGridComm). Sydney, Australia: IEEE, 2016. 296 - 301.
Lin, Weixuan, and Eilyan Bitar. "Parameterized supply function equilibrium in power networks." 2016 IEEE 55th Conference on Decision and Control (CDC). Las Vegas, NV, USA: IEEE, 2016. 1542 - 1548.
Lin, Weixuan, and Eilyan Bitar. "Performance bounds for robust decentralized control." 2016 American Control Conference (ACC). Boston, MA, USA: IEEE, 2016. 4323 - 4330.
Tseng, Shih-Hao, Eilyan Bitar, and Ao Tang. "Random convex approximations of ambiguous chance constrained programs." 2016 IEEE 55th Conference on Decision and Control (CDC). Las Vegas, NV, USA: IEEE, 2016. 6210 - 6215.
Louca, Raphael, and Eilyan Bitar. "Stochastic AC optimal power flow with affine recourse." 2016 IEEE 55th Conference on Decision and Control (CDC). Las Vegas, NV, USA: IEEE, 2016. 2431 - 2436.
Louca, Raphael, and Eilyan Bitar. "Acyclic semidefinite approximations of quadratically constrained quadratic programs." 2015 American Control Conference (ACC). Chicago, IL, USA: IEEE, 2015. 5925 - 5930.