Fundamental Limitations on the Control of Lossless Systems
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/0b2ad2d1-41e7-41ae-8454-639f2587e90c
- author
- Lindberg, Johan LU and Pates, Richard LU
- organization
- publishing date
- 2023
- 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}}, }