Modal Decomposition of the Linear Swing Equation in Networks With Symmetries

@article{Bhatta2021ModalDO,
  title={Modal Decomposition of the Linear Swing Equation in Networks With Symmetries},
  author={Kshitij Bhatta and Majeed M. Hayat and Francesco Sorrentino},
  journal={IEEE Transactions on Network Science and Engineering},
  year={2021},
  volume={8},
  pages={2482-2494}
}
Symmetries are widespread in physical, technological, biological, and social systems and networks, including power grids. The swing equation is a classic model for the dynamics of powergrid networks. The main goal of this paper is to explain how network symmetries affect the swing equation transient and steady state dynamics. We introduce a modal decomposition that allows us to study transient effects, such as the presence of overshoots in the system response. This modal decomposition provides… Expand
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