no code implementations • 5 Feb 2024 • Zeinab Salehi, Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam, Guodong Shi
We establish a local energy market by defining a competitive equilibrium which balances energy and satisfies voltage constraints within the microgrid for all time.
no code implementations • 12 Nov 2023 • Yijun Chen, Kanghong Shi, Ian R. Petersen, Elizabeth L. Ratnam
By constructing a novel Lur'e-Postnikov-like Lyapunov function, a stability result is developed for the feedback interconnection of a nonlinear negative imaginary system and a nonlinear negative imaginary controller.
no code implementations • 3 Oct 2023 • Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam
Our approach to frequency and angle control centers on equipping generator buses with large-scale batteries that are controllable on a fast timescale.
no code implementations • 20 Oct 2022 • Zeinab Salehi, Yijun Chen, Elizabeth L. Ratnam, Ian R. Petersen, Guodong Shi
We shape individual preferences through a set of utility functions to guarantee the resource price at a competitive equilibrium remains socially acceptable, i. e., the price is upper-bounded by an affordability threshold.
no code implementations • 10 Sep 2022 • Zeinab Salehi, Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam, Guodong Shi
By shaping these preferences and proposing a set of utility functions, we can guarantee that the optimal resource price at the competitive equilibrium always remains socially acceptable, i. e., it never violates a given threshold that indicates affordability.
no code implementations • 27 Sep 2021 • Zeinab Salehi, Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam, Guodong Shi
This paper considers the problem of shaping agent utility functions in a transactive energy system to ensure the optimal energy price at a competitive equilibrium is always socially acceptable, that is, below a prescribed threshold.