Hybrid Interconnection of Iterative Bidding and Power Network Dynamics for Frequency Regulation and Optimal Dispatch

Stegink, T., Cherukuri, A., De Persis, C., Van Der Schaft, A. & Cortes, J., Jun-2019, In : IEEE Transactions on Control of Network Systems. 6, 2, p. 572-585 14 p., 8411329.

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This paper considers a real-time electricity market involving an independent system operator (ISO) and a group of strategic generators. The ISO operates a market, where generators bid prices at which they are willing to provide power. The ISO makes power generation assignments with the goal of solving the economic dispatch problem and regulating the network frequency. We propose a multirate hybrid algorithm for bidding and market clearing that combines the discrete nature of iterative bidding with the continuous nature of the frequency evolution in the power network. We establish sufficient upper bounds on the interevent times that guarantee that the proposed algorithm asymptotically converges to an equilibrium corresponding to an efficient Nash equilibrium and zero frequency deviation. Our technical analysis builds on the characterization of the robustness properties of the continuous-time version of the bidding update process interconnected with the power network dynamics via the identification of a novel local input-to-state Lyapunov function. Simulations on the IEEE 14-bus system illustrate our results.

Original languageEnglish
Article number8411329
Pages (from-to)572-585
Number of pages14
JournalIEEE Transactions on Control of Network Systems
Issue number2
Publication statusPublished - Jun-2019


  • Control systems, optimization, power systems, stability, system analysis and design, STABILITY, GRIDS

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