A Damping Ratio Bound for Networks of Masses and Springs
(2020) 18th European Control Conference, ECC 2020 In European Control Conference 2020, ECC 2020 p.1480-1483- Abstract
The damping ratio is a key performance measure in systems that can be modelled as networks of masses and springs. We derive a lower bound on this quantity that applies to such networks when the masses are subject to viscous damping. The result allows the size of the damping ratio to be understood as a function of the system parameters. We use this to derive a decentralised criterion which, if satisfied, guarantees that all the modes of a swing equation power system model are sufficiently well damped, independently of its operating point and size.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/6fca896e-fbc8-475b-ae1a-2f0d9043f5dd
- author
- Pates, Richard LU
- organization
- publishing date
- 2020-05-01
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- European Control Conference 2020, ECC 2020
- series title
- European Control Conference 2020, ECC 2020
- article number
- 9143627
- pages
- 4 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 18th European Control Conference, ECC 2020
- conference location
- Saint Petersburg, Russian Federation
- conference dates
- 2020-05-12 - 2020-05-15
- external identifiers
-
- scopus:85090138513
- ISBN
- 9783907144015
- DOI
- 10.23919/ECC51009.2020.9143627
- project
- Scalable Control of Interconnected Systems
- language
- English
- LU publication?
- yes
- id
- 6fca896e-fbc8-475b-ae1a-2f0d9043f5dd
- date added to LUP
- 2020-09-24 14:14:16
- date last changed
- 2022-04-19 01:00:29
@inproceedings{6fca896e-fbc8-475b-ae1a-2f0d9043f5dd, abstract = {{<p>The damping ratio is a key performance measure in systems that can be modelled as networks of masses and springs. We derive a lower bound on this quantity that applies to such networks when the masses are subject to viscous damping. The result allows the size of the damping ratio to be understood as a function of the system parameters. We use this to derive a decentralised criterion which, if satisfied, guarantees that all the modes of a swing equation power system model are sufficiently well damped, independently of its operating point and size.</p>}}, author = {{Pates, Richard}}, booktitle = {{European Control Conference 2020, ECC 2020}}, isbn = {{9783907144015}}, language = {{eng}}, month = {{05}}, pages = {{1480--1483}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{European Control Conference 2020, ECC 2020}}, title = {{A Damping Ratio Bound for Networks of Masses and Springs}}, url = {{https://lup.lub.lu.se/search/files/94257723/ECC2019_1_.pdf}}, doi = {{10.23919/ECC51009.2020.9143627}}, year = {{2020}}, }