2 papers accepted to ACC

Our paper on spectral clustering for weakly-connected network systems [1] and our paper on frequency shaping control [2] have been accepted to American Control Conference 2023!

[1] H. Min and E. Mallada, “Spectral clustering and model reduction for weakly-connected coherent network systems,” in American Control Conference (ACC), 2023, pp. 1-7.
[Bibtex] [Abstract] [Download PDF]

We propose a novel model-reduction methodology for large-scale dynamic networks with tightly-connected components. First, the coherent groups are identified by a spectral clustering algorithm on the graph Laplacian matrix that models the network feedback. Then, a reduced network is built, where each node represents the aggregate dynamics of each coherent group, and the reduced network captures the dynamic coupling between the groups. Our approach is theoretically justified under a random graph setting. Finally, numerical experiments align with and validate our theoretical findings.

@inproceedings{mm2023acc,
  abstract = {We propose a novel model-reduction methodology
for large-scale dynamic networks with tightly-connected components.
First, the coherent groups are identified by a spectral
clustering algorithm on the graph Laplacian matrix that models
the network feedback. Then, a reduced network is built, where
each node represents the aggregate dynamics of each coherent
group, and the reduced network captures the dynamic coupling
between the groups. Our approach is theoretically justified
under a random graph setting. Finally, numerical experiments
align with and validate our theoretical findings.},
  author = {Min, Hancheng and Mallada, Enrique},
  booktitle = {American Control Conference (ACC)},
  grants = {CAREER-1752362, CPS-2136324},
  month = {1},
  pages = {1-7},
  pubstate = {accepted, submitted Sep 2022},
  title = {Spectral clustering and model reduction for weakly-connected coherent network systems},
  url = {https://mallada.ece.jhu.edu/pubs/2023-ACC-MM.pdf},
  year = {2023}
}
[2] B. K. Poolla, Y. Lin, A. Bernstein, E. Mallada, and D. Groß, “Frequency shaping control for weakly-coupled grid-forming IBRs,” in American Control Conference (ACC), 2023.
[Bibtex] [Abstract] [Download PDF]

We introduce a novel framework to approximate the aggregate frequency dynamics of coherent synchronous generators. By leveraging recent results on dynamics concentration of tightly connected networks, we develop a hierarchy of reduced order models –based on frequency weighted balanced truncation– that accurately approximate the aggregate system response. Our results outperform existing aggregation techniques and can be shown to monotonically improve the approximation as the hierarchy order increases.

@inproceedings{plbmg2023acc,
  abstract = {We introduce a novel framework to approximate the aggregate frequency dynamics of coherent synchronous generators. By leveraging recent results on dynamics concentration of tightly connected networks, we develop a hierarchy of reduced order models --based on frequency weighted balanced truncation-- that accurately approximate the aggregate system response. Our results outperform existing aggregation techniques and can be shown to monotonically improve the approximation as the hierarchy order increases.},
  author = {Poolla, Bala Kameshwar and Lin, Yashen and Bernstein, Andrey and Mallada, Enrique and Groß, Dominic},
  booktitle = {American Control Conference (ACC)},
  grants = {CAREER-1752362, CPS-2136324},
  month = {1},
  record = {accepted, submitted Sep 2022.},
  title = {Frequency shaping control for weakly-coupled grid-forming IBRs},
  url = {https://mallada.ece.jhu.edu/pubs/2023-ACC-PLBMG.pdf},
  year = {2023}
}