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Award ID contains: 2044629

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  1. This paper explores the application of orthogonal projectors to simplify the analysis of complex power system dynamics. By leveraging modal information, orthogonal projections map high-dimensional dynamics onto a lower-dimensional subspace, enabling projected state variables to effectively depict the system's progression over time. A theoretical framework and its practical application are presented, illustrating how this approach enhances the analysis of high-dimensional dynamics. The method is validated using a two-machine infinite bus system and extended to the New England 39-bus system. Results demonstrate that complex trajectories in an n-dimensional space can be efficiently projected onto a 2D subspace, facilitating the observation of specific dynamics, such as those with an electromechanical nature. 
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  2. This paper progresses on the development of the discrete electromechanical oscillation control (DEOC). The DEOC approach is based on the step-wisely control of electronically-interfaced resources' (EIR) power output and aims to significantly reduce the amplitude of multiple oscillatory modes in power systems. The theoretical formulation of the problem and the proposed solution is described. This work addresses the issues of a nonlinear grid representation and favorable reduction of control actions from EIRs, as well as their impact on the DEOC performance. Simulations on a 9-bus system validate the effectiveness of the proposed control even when highly load scenarios are considered. 
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