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Fundamental Limitations on the Control of Lossless Systems

Lindberg, Johan LU and Pates, Richard LU (2023) In IEEE Control Systems Letters 7. p.157-162
Abstract

In this letter we derive fundamental limitations on the levels of H {2} and H {\infty {}} performance that can be achieved when controlling lossless systems. The results are applied to the swing equation power system model, where it is shown that the fundamental limit on the H {2} norm scales with the inverse of the harmonic mean of the inertias in the system. This indicates that power systems may see a degradation in performance as more renewables are integrated, further motivating the need for new control solutions to aid the energy transition.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Optimal control, power systems
in
IEEE Control Systems Letters
volume
7
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85133687670
ISSN
2475-1456
DOI
10.1109/LCSYS.2022.3185928
language
English
LU publication?
yes
id
0b2ad2d1-41e7-41ae-8454-639f2587e90c
date added to LUP
2022-08-30 17:02:09
date last changed
2023-11-21 10:40:35
@article{0b2ad2d1-41e7-41ae-8454-639f2587e90c,
  abstract     = {{<p>In this letter we derive fundamental limitations on the levels of H {2} and H {\infty {}} performance that can be achieved when controlling lossless systems. The results are applied to the swing equation power system model, where it is shown that the fundamental limit on the H {2} norm scales with the inverse of the harmonic mean of the inertias in the system. This indicates that power systems may see a degradation in performance as more renewables are integrated, further motivating the need for new control solutions to aid the energy transition. </p>}},
  author       = {{Lindberg, Johan and Pates, Richard}},
  issn         = {{2475-1456}},
  keywords     = {{Optimal control; power systems}},
  language     = {{eng}},
  pages        = {{157--162}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Control Systems Letters}},
  title        = {{Fundamental Limitations on the Control of Lossless Systems}},
  url          = {{http://dx.doi.org/10.1109/LCSYS.2022.3185928}},
  doi          = {{10.1109/LCSYS.2022.3185928}},
  volume       = {{7}},
  year         = {{2023}},
}