Search Results for author: Elizabeth L. Ratnam

Found 6 papers, 0 papers with code

Competitive Equilibrium in Microgrids With Dynamic Loads

no code implementations5 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.

A Nonlinear Negative Imaginary Systems Framework with Actuator Saturation for Control of Electrical Power Systems

no code implementations12 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.

Design and Stability of Angle based Feedback Control in Power Systems: A Negative-Imaginary Approach

no code implementations3 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.

Competitive Equilibrium for Dynamic Multi-Agent Systems: Social Shaping and Price Trajectories

no code implementations20 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.

Social Shaping of Dynamic Multi-Agent Systems over a Finite Horizon

no code implementations10 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.

Social Shaping for Transactive Energy Systems

no code implementations27 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.

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